tag:blogger.com,1999:blog-79109954461278440472024-03-18T20:45:42.969-07:00My Mathematics JournalEste es mi diario de matematicas. Aquì realizaré las actividades dadas por el profesor de esta materia.Unknownnoreply@blogger.comBlogger12125tag:blogger.com,1999:blog-7910995446127844047.post-61052106624905642062010-10-06T20:51:00.000-07:002010-10-07T08:34:25.077-07:00Cuarto PeriodoActividad No 3 (valor 30%)<br /><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div></div><br /><div>Para el 6 de octubre suba 5 ejercicios de aplicaciones a la derivada al blog<br />•Los Sioguientes ejercicios expuestos aqui son extraidos de la pagina: <a href="http://www.scribd.com/doc/6491526/Problemas-Aplicando-Derivada">http://www.scribd.com/doc/6491526/Problemas-Aplicando-Derivada</a></div><div>Donde se encuentran los problemas con la explicacion de como realizarlos.<br /></div><div></div><br /><div>!). A un tanque que tiene la forma de un cono circular recto invertido de 4 mts. de radio y 16<br />mts. de altura entra agua a una razón de 50 cm3/seg.<br />a. ¿A que velocidad está subiendo el nivel del agua cuando este se encuentra a 4 mts. de<br />altura?<br />b. ¿A que velocidad está cambiando el radio en ese mismo instante?. </div><br /><div></div><div>Solución.<br />En la fig. 4.1 aparece el cono con las dimensiones dadas y una porción del volumen en<br />cualquier instante t.<br /></div><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1nTBQ6kwr6UYCqz_5zVXebhXcnYZmWCLvxyqDJYS15qkeeBYgI5R473aL2EG8U4YQVhIYW_9ArISiyJjgq_K9n_TFm9wVeafbArVwVk70vaxYeBaAy8B-JT6wyImeqjVtUdooLlNPXKpk/s1600/1.bmp"><img id="BLOGGER_PHOTO_ID_5525149495564576226" style="WIDTH: 400px; CURSOR: hand; HEIGHT: 400px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1nTBQ6kwr6UYCqz_5zVXebhXcnYZmWCLvxyqDJYS15qkeeBYgI5R473aL2EG8U4YQVhIYW_9ArISiyJjgq_K9n_TFm9wVeafbArVwVk70vaxYeBaAy8B-JT6wyImeqjVtUdooLlNPXKpk/s400/1.bmp" border="0" /></a><br /></div><br /><div>Designese por:<br />V: volumen (en cm3) de agua en el tanque en el instantet (seg.).<br />x: radio (en cm.) de la sección del cono al nivel del líquido en el instante t.<br />y: altura del agua (en cm.) en el instante t</div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4qNcOv_V3snl31vhR5HoDq4Q17a2GMgfeSdSDhzePjpNfkFvTEEcbWLihHOnqvcxYUGmYZdm4z0WBQzp2W3GwDOThg-Yq5kldp6f5XezHyFhWpreqzhGPKgHv5MCbkgM3_zLaQi8FEK7K/s1600/1.1.bmp"><img id="BLOGGER_PHOTO_ID_5525322311216854498" style="WIDTH: 227px; CURSOR: hand; HEIGHT: 77px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4qNcOv_V3snl31vhR5HoDq4Q17a2GMgfeSdSDhzePjpNfkFvTEEcbWLihHOnqvcxYUGmYZdm4z0WBQzp2W3GwDOThg-Yq5kldp6f5XezHyFhWpreqzhGPKgHv5MCbkgM3_zLaQi8FEK7K/s400/1.1.bmp" border="0" /></a><br /><br /><br /><div>El volumen del agua en el instantet viene dado por: </div><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxCuM306eAg4G3mzWo11XL-PhWiXn8yn3BJQXvyGrUOPzdOYCVvFpsjdm7DAHCnmpYOuOfXMm59UKtyHoWZWLt1YcOVZelUeytfsDlTiUA3Gy2Niuau6rIRujgXGBkIiaz26N5unGQDI9V/s1600/1.2.bmp"><img id="BLOGGER_PHOTO_ID_5525153941998753218" style="WIDTH: 225px; CURSOR: hand; HEIGHT: 64px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxCuM306eAg4G3mzWo11XL-PhWiXn8yn3BJQXvyGrUOPzdOYCVvFpsjdm7DAHCnmpYOuOfXMm59UKtyHoWZWLt1YcOVZelUeytfsDlTiUA3Gy2Niuau6rIRujgXGBkIiaz26N5unGQDI9V/s400/1.2.bmp" border="0" /></a><br />De la semejanza de los triángulos ODE y OBC, se deduce que:<br /></div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEx8ELhQT_izDDuML5GmzFEfLIUdEZql9QGCEgYX18tz_klmBQTdAi89CnHBOQovxsE6LQ9JGKRzjNwuySjIYzg48kOz0_9UcPl-P9vrBSy3UgZvtkxvqpmuhyphenhyphenF9yRkN3xCEozxgd5pgmc/s1600/1.3.bmp"><img id="BLOGGER_PHOTO_ID_5525155076913733106" style="WIDTH: 307px; CURSOR: hand; HEIGHT: 85px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEx8ELhQT_izDDuML5GmzFEfLIUdEZql9QGCEgYX18tz_klmBQTdAi89CnHBOQovxsE6LQ9JGKRzjNwuySjIYzg48kOz0_9UcPl-P9vrBSy3UgZvtkxvqpmuhyphenhyphenF9yRkN3xCEozxgd5pgmc/s400/1.3.bmp" border="0" /></a></div></div><br /><div></div><div>a) Puede formularse la pregunta asi:<br /><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_FsLRNSbwr0zG2sEgoINfDog4uftYKpqcsAKk1MIijw5K6NG2IDPQSAS7qA7GzH41RI4qz5Cc3vdQb8vVUMo-W5zBzAPjSHb3JwX5sxjhes1uib4I2nogfgccYL6icTerQbw-6I34jGI3/s1600/1.4.bmp"><img id="BLOGGER_PHOTO_ID_5525155931114656674" style="WIDTH: 354px; CURSOR: hand; HEIGHT: 65px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_FsLRNSbwr0zG2sEgoINfDog4uftYKpqcsAKk1MIijw5K6NG2IDPQSAS7qA7GzH41RI4qz5Cc3vdQb8vVUMo-W5zBzAPjSHb3JwX5sxjhes1uib4I2nogfgccYL6icTerQbw-6I34jGI3/s400/1.4.bmp" border="0" /></a> </div><div>Una manera simple de calcular <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcg92B-CcH63qF3N3VIV_zb5x1BzxJTdRgYEq8cRP3yhWUh20ws1hXe49sk7acoGSTisTNtUydtWyK61EKPwLxJ8w9GFDhW-iOiPi9AkqCH8fDpMwhMC5p-4xQttB6z9bK1JT8nWMjhp5K/s1600/1.5.bmp"><img id="BLOGGER_PHOTO_ID_5525157289618817458" style="WIDTH: 41px; CURSOR: hand; HEIGHT: 66px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcg92B-CcH63qF3N3VIV_zb5x1BzxJTdRgYEq8cRP3yhWUh20ws1hXe49sk7acoGSTisTNtUydtWyK61EKPwLxJ8w9GFDhW-iOiPi9AkqCH8fDpMwhMC5p-4xQttB6z9bK1JT8nWMjhp5K/s400/1.5.bmp" border="0" /></a>consiste en expresar V en (1) en términos únicamente de la variable y (usando (3)) y derivando en ambos lados con respecto a t.</div><div></div><div></div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk27HQPyNekoMvZjUKXjHZfGmVxb2z0HPsURbxFWqlqeGhakF2yc64Qzk4Zd6LEoBO3kvYw45SUpOxP9iazK3ARc4SR2RA6bHwh0WuNvKnODZNMxt81OQDsxTEikYBLPsR8VoNnIjRfTHA/s1600/1.6.bmp"><img id="BLOGGER_PHOTO_ID_5525157989200597442" style="WIDTH: 435px; CURSOR: hand; HEIGHT: 247px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk27HQPyNekoMvZjUKXjHZfGmVxb2z0HPsURbxFWqlqeGhakF2yc64Qzk4Zd6LEoBO3kvYw45SUpOxP9iazK3ARc4SR2RA6bHwh0WuNvKnODZNMxt81OQDsxTEikYBLPsR8VoNnIjRfTHA/s400/1.6.bmp" border="0" /></a><br /></div><div><br /> </div><div>De acuerdo a las condiciones del problema: </div><br /><div> </div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjGWZ13DYmewyN1X4l82YgSojsYNUZaKKxX-s6agypzb4bJneDsdf5nuRwE1kIRIU0yTVC15jC2aSZGKe_JAxCd3ojxY8jejPvUMTRaWLQ6mdraESWeyUU2CFQkxYgUYukrdFA-Av9gW3Y/s1600/1.7.bmp"><img id="BLOGGER_PHOTO_ID_5525160598813527906" style="WIDTH: 413px; CURSOR: hand; HEIGHT: 103px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjGWZ13DYmewyN1X4l82YgSojsYNUZaKKxX-s6agypzb4bJneDsdf5nuRwE1kIRIU0yTVC15jC2aSZGKe_JAxCd3ojxY8jejPvUMTRaWLQ6mdraESWeyUU2CFQkxYgUYukrdFA-Av9gW3Y/s400/1.7.bmp" border="0" /></a><br /><br />indicando con esto que la alturacrece a esa velocidad.<br /></div><div>b) Puede formularse la pregunta asi: </div><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmLt9KzvjDLfqOyRtLCUZnC4rtSDkcFE6RlEKNp3W2nCx2GmQn6AcOB122brJaKg4A_GkbBj6eIxc6-YYvh4hn2DldDs7sq0F_GUjTORZXB_SBvdb60WxG3qtXd1_aOVQ5FFuvZiMiM0YM/s1600/1.8.bmp"><img id="BLOGGER_PHOTO_ID_5525165281942050258" style="WIDTH: 401px; CURSOR: hand; HEIGHT: 58px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmLt9KzvjDLfqOyRtLCUZnC4rtSDkcFE6RlEKNp3W2nCx2GmQn6AcOB122brJaKg4A_GkbBj6eIxc6-YYvh4hn2DldDs7sq0F_GUjTORZXB_SBvdb60WxG3qtXd1_aOVQ5FFuvZiMiM0YM/s400/1.8.bmp" border="0" /></a><br /></div><br /><div>Una manera sencilla de encontrar la solución, consiste en derivar ambos miembros de (3)<br />con respecto a t.<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS9Ao9Q5Rzw5NUBQMsAJcfKPXiNVIeiAZsDc6ofOTu5KMCfAU8Rpff8jbV65PTZPaXg9C76sIMZk3OCEj6m3STrCwfd3v8deRA_rimPfh_XeyGZ7L1bLsaIz_8g1lEsz2VH8r7qb_OEzne/s1600/1.9.bmp"><img id="BLOGGER_PHOTO_ID_5525166350673769138" style="WIDTH: 632px; CURSOR: hand; HEIGHT: 64px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS9Ao9Q5Rzw5NUBQMsAJcfKPXiNVIeiAZsDc6ofOTu5KMCfAU8Rpff8jbV65PTZPaXg9C76sIMZk3OCEj6m3STrCwfd3v8deRA_rimPfh_XeyGZ7L1bLsaIz_8g1lEsz2VH8r7qb_OEzne/s400/1.9.bmp" border="0" /></a><br /><br />Indicando con esto que el radiocrece a esta velocidad.<br />Otra manera de obtener la solución, consiste en expresar V en (1) en términos<br />únicamente de la variable x (usando (2)) y derivar en ambos lados con respecto a t.<br /><br /></div><div>2). Un vigilante situado en la parte superior de un faro de 250 pies de altura, observa un bote de motor que se acerca al faro a una velocidad de 20 pies/seg. ¿Con qué rapidez cambia el ángulo formado por la visual con respecto al bote cuando este se encuentra a 300 pies de la base del faro?.<br />Solución:<br />En la fig. 4.2 (a) aparecen las variables que intervienen en el problema.<br />x : distancia del bote al pie de la base Pdel faro en cualquier tiempo t.<br />θ: ángulo formado por la visual y el boteB en cualquier tiempo t. </div><div> </div><div>Nótese que cuando <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjleAGIEFwG3WSmF3ldVvSmcDk9Tkaz-fQ_ijfDHia4vaaFGTIZWxshQDrzEvkbJW6Q7Q_A6g2IDBLlipxjcKDBoQCLKsCwdGD_-JXoDc2TfNC3cmMfX-cqBPIdMLqFOCvoZuew7wGmD4wB/s1600/2.bmp"><img id="BLOGGER_PHOTO_ID_5525169660156182706" style="WIDTH: 324px; CURSOR: hand; HEIGHT: 51px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjleAGIEFwG3WSmF3ldVvSmcDk9Tkaz-fQ_ijfDHia4vaaFGTIZWxshQDrzEvkbJW6Q7Q_A6g2IDBLlipxjcKDBoQCLKsCwdGD_-JXoDc2TfNC3cmMfX-cqBPIdMLqFOCvoZuew7wGmD4wB/s400/2.bmp" border="0" /></a> , </div><br /><div>entonces es de esperar que θ también decrece. </div><br /><div></div><br /><div><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgu-s3YWdhyBEYPi56lPiQPPW2oJ9yyIhdv4QiAvQDR4Sriw_1MTj60QpaArwIMnA5O_7nXsbtxDx65-wio7FkCS27tF8p89hFER06P9PUtAtihNWb6PbxX3ybHS5pAhfKtR92b1_SRSwLY/s1600/2.1.bmp"><img id="BLOGGER_PHOTO_ID_5525171896742080002" style="WIDTH: 659px; CURSOR: hand; HEIGHT: 349px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgu-s3YWdhyBEYPi56lPiQPPW2oJ9yyIhdv4QiAvQDR4Sriw_1MTj60QpaArwIMnA5O_7nXsbtxDx65-wio7FkCS27tF8p89hFER06P9PUtAtihNWb6PbxX3ybHS5pAhfKtR92b1_SRSwLY/s400/2.1.bmp" border="0" /></a><br /><br /></div><br /><br /><div>De la fig. 4.2 (a) se tiene: </div><br /><div></div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7s_JtkILPTefBcrYz_ixiBa2NgpziQ_VsRhb5PZ5xBQzyjPdrbg1AEaHdo6jGnwkaKMBFOCvg_ADxsvbLxDHZaeJm3KHSCB-qs90RN-yTHNm17dansWvoU1NiBh8O_fXNGFogPF7dks1h/s1600/2.2.bmp"><img id="BLOGGER_PHOTO_ID_5525314805542086210" style="WIDTH: 344px; CURSOR: hand; HEIGHT: 46px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7s_JtkILPTefBcrYz_ixiBa2NgpziQ_VsRhb5PZ5xBQzyjPdrbg1AEaHdo6jGnwkaKMBFOCvg_ADxsvbLxDHZaeJm3KHSCB-qs90RN-yTHNm17dansWvoU1NiBh8O_fXNGFogPF7dks1h/s400/2.2.bmp" border="0" /></a><br /><br /></div><div>Derivando ambos miembros de (1) con respecto at, se tiene: </div><br /><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeKCkYUT5-sc70Bs-oxmbqkzUTxwpiwZTyuv57VQXbBm-ttUImwI5rjLAe0HWSr2wn4TD8xXYkhwBRbo4fpAR-yYIt1UenEqCvojz5GSo4WRx3JZLgur4DowNoMPdTlS3Cl0c6YlVHoOKe/s1600/2.3.bmp"><img id="BLOGGER_PHOTO_ID_5525316566476281346" style="WIDTH: 266px; CURSOR: hand; HEIGHT: 51px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeKCkYUT5-sc70Bs-oxmbqkzUTxwpiwZTyuv57VQXbBm-ttUImwI5rjLAe0HWSr2wn4TD8xXYkhwBRbo4fpAR-yYIt1UenEqCvojz5GSo4WRx3JZLgur4DowNoMPdTlS3Cl0c6YlVHoOKe/s400/2.3.bmp" border="0" /></a> </div><br /><div></div><div>De donde, <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQ6-5oxJCiOqEStSyuRz6HJjndP7ZyEpKVr_-nJuqDA7pnVcGq3VtdVISjXucyfOp7JxEBo1RQ9TTVtEAEtk7fpqV_W1AyxgRqZBg2pDnUN1jOJRXc5xeD1XcoiO7ryveS-g1Ogu3HuYlX/s1600/2.4.bmp"><img id="BLOGGER_PHOTO_ID_5525318910282035314" style="WIDTH: 286px; CURSOR: hand; HEIGHT: 74px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQ6-5oxJCiOqEStSyuRz6HJjndP7ZyEpKVr_-nJuqDA7pnVcGq3VtdVISjXucyfOp7JxEBo1RQ9TTVtEAEtk7fpqV_W1AyxgRqZBg2pDnUN1jOJRXc5xeD1XcoiO7ryveS-g1Ogu3HuYlX/s400/2.4.bmp" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0QQV1lB9uzSdhvBmRaA3QChKEXQuKzNmTi9B_vvRnPuHj9yjtbTIhscKV_2Nc2T6tCGc5il06Gp0AnQLY9U_jikdfb-zMXkG5QWO9gDBS4phcixIphtC2WxPLhjSzLSnrH00XCrwc6qHK/s1600/2.4.bmp"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEheGYyOqidoXMJG71XBURbBcZQjj64X1JqME0yeMpu5INlteo_RLLhC-RvlqLHxJSd-HpOFe-1MqJz62s5ns8kedTBh-HI921vkR28E9Sac53bIcR2Bdm7fc3OXAXoue9_3QoU4K2ujBG4R/s1600/2.3.bmp"></a><br /><br />En el caso particular que interesa, x = 300 </div><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcBGDL6PIkTBuk7kswerqqtVqSc5H40G1wC0h4qLLD4ocscTdH1L1pb3KDeKuS41KDXM25RhmsJn-eJdtP4y5BU2vMII0NNlLGx9PmoYkM3tPXtwAqu2CzVz7aRnq10-OIFs9r7xwh2qJ1/s1600/2.5.bmp"><img id="BLOGGER_PHOTO_ID_5525319706772861714" style="WIDTH: 367px; CURSOR: hand; HEIGHT: 52px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcBGDL6PIkTBuk7kswerqqtVqSc5H40G1wC0h4qLLD4ocscTdH1L1pb3KDeKuS41KDXM25RhmsJn-eJdtP4y5BU2vMII0NNlLGx9PmoYkM3tPXtwAqu2CzVz7aRnq10-OIFs9r7xwh2qJ1/s400/2.5.bmp" border="0" /></a><br /><br />Usando la identidad trigonométrica: <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWnmhT6ksg80EHOcu8YVx1qEDXO6ZMy2QR7LJoPw_MCavf4FfxBEMg6PEGsSNYuOuumoRRhO0kYfgRs18YVaCJTIMYwuJgcOa-JCEVyVO3-QGaRWEvMh0yYHMFqHfrkSAbUCUVlvMPpMIY/s1600/2.6.bmp"><img id="BLOGGER_PHOTO_ID_5525321070166129810" style="WIDTH: 183px; CURSOR: hand; HEIGHT: 28px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWnmhT6ksg80EHOcu8YVx1qEDXO6ZMy2QR7LJoPw_MCavf4FfxBEMg6PEGsSNYuOuumoRRhO0kYfgRs18YVaCJTIMYwuJgcOa-JCEVyVO3-QGaRWEvMh0yYHMFqHfrkSAbUCUVlvMPpMIY/s400/2.6.bmp" border="0" /></a> se puede escribir en este caso: </div><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBobw5C4CUzmbo4a-irmXSpwtnKRI1YJr3tgTDrxwgRbacqaDI67EeqfO_pK0xmMTAGgxpn5iiIgP30nSQhcr3k53hOIZxhZteUTtwNr2fKVUMVZi1w-4fi0vs5HgHCQjakSy5ubRGJDCH/s1600/2.7.bmp"><img id="BLOGGER_PHOTO_ID_5525321636325834354" style="WIDTH: 400px; CURSOR: hand; HEIGHT: 59px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBobw5C4CUzmbo4a-irmXSpwtnKRI1YJr3tgTDrxwgRbacqaDI67EeqfO_pK0xmMTAGgxpn5iiIgP30nSQhcr3k53hOIZxhZteUTtwNr2fKVUMVZi1w-4fi0vs5HgHCQjakSy5ubRGJDCH/s400/2.7.bmp" border="0" /></a> </div><div><br /> </div><div>De otro lado: <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga47kz1UQRm7F4NGICEyfnGd0ue8w2hXADF_Cup5St2NYN4rv2140ev8_hyphenhyphenEj-K7Nl9ATbqtYgw0JUStxru7_9ulcbgCMBWYGW-W7ZreAr8ztYUKjaBdxdw_rZHR_OsRpX8Ef4Pune-D2w/s1600/2.8.bmp"><img id="BLOGGER_PHOTO_ID_5525325231067379650" style="WIDTH: 245px; CURSOR: hand; HEIGHT: 52px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga47kz1UQRm7F4NGICEyfnGd0ue8w2hXADF_Cup5St2NYN4rv2140ev8_hyphenhyphenEj-K7Nl9ATbqtYgw0JUStxru7_9ulcbgCMBWYGW-W7ZreAr8ztYUKjaBdxdw_rZHR_OsRpX8Ef4Pune-D2w/s400/2.8.bmp" border="0" /></a></div><br /><div><br />Sustituyendo (3) y (4) en (2) se tiene finalmente: </div><div> </div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjT1xBnn2hvoEE1eQu9_We3VAQdHEivk-cP4eDCpUeCgLv-iAPnU0p-tm0TQEsbpHVZC4ezIAXn1DNOo-ThQRrTTM1Zc9Quqc2sZulsx6Ec5TYvLHPGjXprqXLDHuTHwqD-qFUDyd7wMM2u/s1600/2.9.bmp"><img id="BLOGGER_PHOTO_ID_5525326497745304642" style="WIDTH: 342px; CURSOR: hand; HEIGHT: 76px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjT1xBnn2hvoEE1eQu9_We3VAQdHEivk-cP4eDCpUeCgLv-iAPnU0p-tm0TQEsbpHVZC4ezIAXn1DNOo-ThQRrTTM1Zc9Quqc2sZulsx6Ec5TYvLHPGjXprqXLDHuTHwqD-qFUDyd7wMM2u/s400/2.9.bmp" border="0" /></a></div><div><br />Lo cual indica que el ángulo θ decrece (como era de esperar) a una velocidad de aprox. 0.0327Rad/seg.<br /></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-27473963361381158692010-08-29T09:11:00.000-07:002010-10-06T20:51:27.966-07:00TERCER PERIODO<span style="font-size:130%;">Sucesiones y Limites</span><br /><br /><span style="font-size:130%;">Conseptos:</span><br /><br />•Series finitas o infinitas<br />Si la sucesión sigue para siempre, es una sucesión infinita,si no es una sucesión finita<br />Ejemplos<br />{1, 2, 3, 4 ,...} es una sucesión muy simple (y es una sucesión infinita)<br />{20, 25, 30, 35, ...} también es una sucesión infinita<br />{1, 3, 5, 7} es la sucesión de los 4 primeros números impares (y es una sucesión infinita)<br />{4, 3, 2, 1} va de 4 a 1 hacia atrás<br />{1, 2, 4, 8, 16, 32, ...} es una sucesión infinita donde vamos doblando cada término<br />{a, b, c, d, e} es la sucesión de las 5 primeras letras en order alfabético<br />{a, l, f, r, e, d, o} es la sucesión de las letras en el nombre "alfredo"<br />{0, 1, 0, 1, 0, 1, ...} es la sucesión que alterna 0s y 1s (sí, siguen un orden, en este caso un orden alternativo)Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-1331402002933248602010-06-03T09:25:00.000-07:002010-06-03T09:54:17.386-07:00Mayo<br /><span style="font-weight: bold;">Circunferencia</span><br />Donde a es el radio, A es el centro y B es un punto de la circunferencia. La distancia entre A y B equivale al radio, ya que el radio es la distancia desde el centro a cualquier punto de la circunferencia.<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0daJedWtOiji3c2umWx0n2SMXdxym8eCnRis_ryQu3uz1sJaFjdr1Dn3TAtEwWcbNgcOkjODfJtNUFJzWnqm-jqqqCxCqvJMmrAW71FYtwuOLCC_Ggb5GQUtyzj3fWIJo5NwZ9n57Ewj9/s1600/cir.bmp"><img style="cursor: pointer; width: 400px; height: 375px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0daJedWtOiji3c2umWx0n2SMXdxym8eCnRis_ryQu3uz1sJaFjdr1Dn3TAtEwWcbNgcOkjODfJtNUFJzWnqm-jqqqCxCqvJMmrAW71FYtwuOLCC_Ggb5GQUtyzj3fWIJo5NwZ9n57Ewj9/s400/cir.bmp" alt="" id="BLOGGER_PHOTO_ID_5478585627040437906" border="0" /> </a><br />La ecuación de la circunferencia es<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEge-oMpQRIDgsQE4B9Y05pY2uC852PQLBIrUr7xeYf7Z7Aw7Dbkl0i6SZmZfk9hKu6S5Qtw0WBzc3p-SxswXP5JFmmaHNhO5sCKF05csfEt1cMx51nnT7fKIM5UHOIKO5SWkxSrPp3UHZYT/s1600/cir+ec.bmp"><img style="cursor: pointer; width: 135px; height: 64px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEge-oMpQRIDgsQE4B9Y05pY2uC852PQLBIrUr7xeYf7Z7Aw7Dbkl0i6SZmZfk9hKu6S5Qtw0WBzc3p-SxswXP5JFmmaHNhO5sCKF05csfEt1cMx51nnT7fKIM5UHOIKO5SWkxSrPp3UHZYT/s400/cir+ec.bmp" alt="" id="BLOGGER_PHOTO_ID_5478589403916446578" border="0" /></a><br />Ni a ni b pueden ser cero<br />también esta:<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir0Pjyc1AZOq5ceB4Y1zSZB-ySK2bru9jKtVj4kPn-0hcpP4yb2FdE1LMPpqD6_oailfCgwszMBBMO9qIo7sDRgNs0NfAx7fbf9OY6bxj5Im569LGaTQwP4nk9lzg0wMj-f8ae_Domehlj/s1600/cir+ec+2.bmp"><img style="cursor: pointer; width: 204px; height: 34px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir0Pjyc1AZOq5ceB4Y1zSZB-ySK2bru9jKtVj4kPn-0hcpP4yb2FdE1LMPpqD6_oailfCgwszMBBMO9qIo7sDRgNs0NfAx7fbf9OY6bxj5Im569LGaTQwP4nk9lzg0wMj-f8ae_Domehlj/s400/cir+ec+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5478589706329072418" border="0" /></a><br />donde h y k es el centro de la circunferencia, ejemplo: si en centro esta en el origen(es cero) h y k serian 0<br /><br /><span style="font-weight: bold;">Conseptos:</span><br /><span style="font-weight: bold;">Meretriz:</span> Las mediatrices de un triángulo son las mediatrices de sus lados, es decir, las perpendiculares a los lados que pasan por sus puntos medios. Éstas se cortan en un punto que se denomina circuncentro o ruficentro, el cual es el centro de la circunferencia que pasa por los vértices del triángulo, es decir, de la circunferencia circunscrita al triángulo.<br /><br /><span style="font-weight: bold;">Bisectriz:</span> La bisectriz de un ángulo es la recta que lo divide en dos partes iguales. Es el lugar geométrico de los puntos del plano que equidistan (están a la misma distancia) de las <a href="http://es.wikipedia.org/wiki/Semirrecta" title="Semirrecta"></a> semirectas de un ángulo. Las tres bisectrices de los ángulos internos de un triángulo se cortan en un único punto, que equidista de los lados. Este punto se llama el incentro del triángulo y es el centro de la circunferencia inscrita al triángulo. Esta circunferencia es tangente a cada uno de los lados del triángulo.<br /><br /><span style="font-weight: bold;">Baricentro: </span>El <strong style="font-weight: normal;">baricentro</strong> es uno de los puntos característicos de un triángulo y es el punto de intersección de las medianas de cada uno de los lados.<br /><br /><span style="font-weight: bold;">Incentro:</span><b> </b>Incentro se denomina al arco de la circunferencia inscrita en un radio<span style="text-decoration: underline;"></span>, y equidista de sus tres lados.<br />Con la mediatriz el circulo es externo, y con la bisectriz es interno.Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-74716317836218696692010-06-03T08:53:00.000-07:002010-06-03T09:24:48.578-07:00Mayo<br />Parábola con el centro en el origen:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirh_Z2zfmP6vCLqR6Nin7dVRDITOac-MVuG11SmEwcQ4qn3e4gYZelXCDmuAQAShihBZxT6l-6L05X4IzHHce7bNp7HiZmPUokG-4jxyWGzvzIwrANMpZsTbWsQ9MCEPiTCvoISzAo-5NP/s1600/ec+parabol+4py+-4px.bmp"><img style="cursor: pointer; width: 303px; height: 136px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirh_Z2zfmP6vCLqR6Nin7dVRDITOac-MVuG11SmEwcQ4qn3e4gYZelXCDmuAQAShihBZxT6l-6L05X4IzHHce7bNp7HiZmPUokG-4jxyWGzvzIwrANMpZsTbWsQ9MCEPiTCvoISzAo-5NP/s400/ec+parabol+4py+-4px.bmp" alt="" id="BLOGGER_PHOTO_ID_5478577249656541490" border="0" /></a><br /><span style="font-weight: bold;">Ejemplo</span><br /><span style="font-weight: bold;">Vertical hacia arriba:</span><br />•El origen de 4 p lo podemos deducir de la siguiente gráfica<br /><br />• Diferenciamos el foco de color morado llamado A, el vértice de color amarillo llamado V y la directriz que es la linea recta que se encuentra en la parte inferior de la parábola de color azul<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkVLSLn5C-0OojL0I_L2jZQ0jj5ZeXBRRrgR6kCJncRQJodSBDNiSXNmB6ODjV5aX0WU7uGgYaWTmy8b7kUZgnm0DqW4U5QQusPzhgICUvaI7xm4zvk22Hh3VkpxJS1ACYn_EfBdcDYu1d/s1600/grafica+4py+-4px.bmp"><img style="cursor: pointer; width: 648px; height: 440px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkVLSLn5C-0OojL0I_L2jZQ0jj5ZeXBRRrgR6kCJncRQJodSBDNiSXNmB6ODjV5aX0WU7uGgYaWTmy8b7kUZgnm0DqW4U5QQusPzhgICUvaI7xm4zvk22Hh3VkpxJS1ACYn_EfBdcDYu1d/s400/grafica+4py+-4px.bmp" alt="" id="BLOGGER_PHOTO_ID_5478582620460950738" border="0" /></a>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-33156454995213201562010-06-03T05:35:00.000-07:002010-06-03T08:14:27.205-07:00Mayo<br />1) Se dispara un proyectil con una velocidad de 40 metros sobre segundos, su distancia después de t segundos esta dada por la ecuación: <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOP4wUmMJljTOzEaWNBpriIDb3hpJLqJ0luiDwGvx9nYSKBG1xNjshHJa-wj2G4bxhl-bG4GEtStNsPq1kMfz9nO9GD4fIx-ki_2DKs7wL2B_vUAW7n2bGnyLZT7FLug-QPdesGB-zBxzW/s1600/40t.bmp"><img style="cursor: pointer; width: 171px; height: 24px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOP4wUmMJljTOzEaWNBpriIDb3hpJLqJ0luiDwGvx9nYSKBG1xNjshHJa-wj2G4bxhl-bG4GEtStNsPq1kMfz9nO9GD4fIx-ki_2DKs7wL2B_vUAW7n2bGnyLZT7FLug-QPdesGB-zBxzW/s400/40t.bmp" alt="" id="BLOGGER_PHOTO_ID_5478529063145980530" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiutaW-m1iI5eYWPOSMzMm8xLothYgypHXVmtFstOBT4cfBk02peo3_W1PyDOhtjUIOHJFMCVlLAAUiHhVCpd-bP45VPlU59_HvJ4vx2n1WI3fQYN7ik5UPDLx6o-olSkKu3DKljKnPglLU/s1600/3+seg.bmp"><img style="cursor: pointer; width: 181px; height: 24px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiutaW-m1iI5eYWPOSMzMm8xLothYgypHXVmtFstOBT4cfBk02peo3_W1PyDOhtjUIOHJFMCVlLAAUiHhVCpd-bP45VPlU59_HvJ4vx2n1WI3fQYN7ik5UPDLx6o-olSkKu3DKljKnPglLU/s400/3+seg.bmp" alt="" id="BLOGGER_PHOTO_ID_5478529149831212178" border="0" /></a><br />a)¿Cual es la velocidad del proyectil en t=2, t=3 y t=4?<br />b)¿En que momento alcanza la altura máxima?<br />c)¿Cual es la distancia desde donde disparo hasta donde llego la bala?<br />Solución:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYd6R67_jmL12Unp5cyf8fZofW46qshT2rFfogOmtVAh9csSHxMzAeWeNEkA9pxkuF1b9924LHa__FkhHI0SI3ubYrTbeS8KBHvrD1MvU35G5AZDO8IznOcpNrJOFw6DN91HDVBf1sAMO9/s1600/gr%C3%A1fica+40x-4.5x%5E2.bmp"><img style="cursor: pointer; width: 401px; height: 689px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYd6R67_jmL12Unp5cyf8fZofW46qshT2rFfogOmtVAh9csSHxMzAeWeNEkA9pxkuF1b9924LHa__FkhHI0SI3ubYrTbeS8KBHvrD1MvU35G5AZDO8IznOcpNrJOFw6DN91HDVBf1sAMO9/s400/gr%C3%A1fica+40x-4.5x%5E2.bmp" alt="" id="BLOGGER_PHOTO_ID_5478554947937171682" border="0" /></a><br />a)<span style="font-weight: bold;">R/=<br />•t=2</span><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuXLKDNJrjlHmyIioy-1_3PU_y5BP7TauTLhnR6WFm8MooQYbRz4kpgJZjPY-tMR04NdFSTpZEexNpnxlSou3asNY6HuXEi3l3vHBI5Ky0Rd_Q8bXm6CY58R_8LynZg5Q60Ps4Bd4cC1nt/s1600/t=2.bmp"><img style="cursor: pointer; width: 292px; height: 160px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuXLKDNJrjlHmyIioy-1_3PU_y5BP7TauTLhnR6WFm8MooQYbRz4kpgJZjPY-tMR04NdFSTpZEexNpnxlSou3asNY6HuXEi3l3vHBI5Ky0Rd_Q8bXm6CY58R_8LynZg5Q60Ps4Bd4cC1nt/s400/t=2.bmp" alt="" id="BLOGGER_PHOTO_ID_5478535155771097714" border="0" /></a><br /><span style="font-weight: bold;">•t=3</span><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPd5BtqkS8jQtofxqqzzn8eHYDGMRSjOV4cO1pW-nO7elV0lVDVic_6u3HTKBa-ITJjabZC9W7gSM0j2Ju1Zm6NEwd5Yw-xv8EpOiLBGF7srpyu0i7U509vI2RQG0x-gVxynVHFlCyDBT8/s1600/t=3.bmp"><img style="cursor: pointer; width: 325px; height: 160px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPd5BtqkS8jQtofxqqzzn8eHYDGMRSjOV4cO1pW-nO7elV0lVDVic_6u3HTKBa-ITJjabZC9W7gSM0j2Ju1Zm6NEwd5Yw-xv8EpOiLBGF7srpyu0i7U509vI2RQG0x-gVxynVHFlCyDBT8/s400/t=3.bmp" alt="" id="BLOGGER_PHOTO_ID_5478535396318506354" border="0" /></a><br /><span style="font-weight: bold;">•t=4</span><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7xZsFt8DEglnvgOmsWCQv2t57nwtGOIfOAE2dS-l6RBrg9dJ7ojQkDap6swF8uBt06iDouDOQprqDWcn7dHggLAEYajNWBChNbQAfcxMc63G7nJJaDtgGA5GwHBjKl6oMsbqqgXgevgUA/s1600/t=4.bmp"><img style="cursor: pointer; width: 300px; height: 156px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7xZsFt8DEglnvgOmsWCQv2t57nwtGOIfOAE2dS-l6RBrg9dJ7ojQkDap6swF8uBt06iDouDOQprqDWcn7dHggLAEYajNWBChNbQAfcxMc63G7nJJaDtgGA5GwHBjKl6oMsbqqgXgevgUA/s400/t=4.bmp" alt="" id="BLOGGER_PHOTO_ID_5478536481917295410" border="0" /></a><br />Conclusiones: Cuando el tiempo y la distancia aumenta la velocidad disminuye<br /><br />b) R/=<br />Punto máximo:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjN8wI79xwTtJacDMIWOcxvOjAG_ewUzbvJzeFnc3_ZnF_xPEwe45cWyyWhKqG0SYUXD8DsfxMz9uTJcm5sTjCVQzWOywu3Sc8cU_gfDRaLHTLQzBoWxwBmLgZxNVDJvF5XgUpTaswTLLIY/s1600/punto+h+max.bmp"><img style="cursor: pointer; width: 273px; height: 163px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjN8wI79xwTtJacDMIWOcxvOjAG_ewUzbvJzeFnc3_ZnF_xPEwe45cWyyWhKqG0SYUXD8DsfxMz9uTJcm5sTjCVQzWOywu3Sc8cU_gfDRaLHTLQzBoWxwBmLgZxNVDJvF5XgUpTaswTLLIY/s400/punto+h+max.bmp" alt="" id="BLOGGER_PHOTO_ID_5478544049590636898" border="0" /></a><br />•Alcanza la altura máxima cuando el proyectil va en el punto (4.4;88.8) del plano cartesiano<br /><br />c)R/=<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXmfWS4CC9qL6qwvMOsRZ9fj2RWK_Mk2YJ9FpJeoj0NVM9UYfHbU7zc1C2pRYg2_2sysgYAdwFbBr8AlNLlSXGF4BD_bNT_VqU8fcsabNtiPB6zscc88kxaXfKe447fW85vS89wvwBThjV/s1600/puntos+de+corte+40x-4.5x%5E2.bmp"><img style="cursor: pointer; width: 313px; height: 400px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXmfWS4CC9qL6qwvMOsRZ9fj2RWK_Mk2YJ9FpJeoj0NVM9UYfHbU7zc1C2pRYg2_2sysgYAdwFbBr8AlNLlSXGF4BD_bNT_VqU8fcsabNtiPB6zscc88kxaXfKe447fW85vS89wvwBThjV/s400/puntos+de+corte+40x-4.5x%5E2.bmp" alt="" id="BLOGGER_PHOTO_ID_5478556235175953090" border="0" /></a><br />R/=La distancia recorrida desde donde disparo hasta donde llego la bala es de 8.88 metros<br /><br />2) Un atleta corre los 100 metros planos de manera que la distancia <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggG2WSNRv15jhLJRQmQXBjr1CtO-7nE8yGnQ-oMfxeUeTrlW340OXkiODeENZcFLB62kCnjPaG0UOLIH5qf_1az9HYppERoPDNnDJ7H9HcLdr1qmdLRH8rjaFR2ev1r3-p42o31QJWb8jQ/s1600/ec+2+mayo.bmp"><img style="cursor: pointer; width: 148px; height: 50px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggG2WSNRv15jhLJRQmQXBjr1CtO-7nE8yGnQ-oMfxeUeTrlW340OXkiODeENZcFLB62kCnjPaG0UOLIH5qf_1az9HYppERoPDNnDJ7H9HcLdr1qmdLRH8rjaFR2ev1r3-p42o31QJWb8jQ/s400/ec+2+mayo.bmp" alt="" id="BLOGGER_PHOTO_ID_5478558503019715922" border="0" /> </a><br />Calcule la velocidad del corredor a los 5 seg y la velocidad al llegar a la meta<br />solución:<br />Velocidad a a los 3 seg:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQ9OPbFgBWWONccvRWcxDrrt4KP3_F12vhNbY_LX9SNNxMXZxnDAk7mqKFcNxNK-2M13V_wnl_uw8UGDFM2puTJNKbVoU8B-AHcL1bl9kuI0JGNpVmYOjVAKzEqzoFT41Ijx_AwJu1jQ9i/s1600/v+2+mayo.bmp"><img style="cursor: pointer; width: 332px; height: 171px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQ9OPbFgBWWONccvRWcxDrrt4KP3_F12vhNbY_LX9SNNxMXZxnDAk7mqKFcNxNK-2M13V_wnl_uw8UGDFM2puTJNKbVoU8B-AHcL1bl9kuI0JGNpVmYOjVAKzEqzoFT41Ijx_AwJu1jQ9i/s400/v+2+mayo.bmp" alt="" id="BLOGGER_PHOTO_ID_5478561780609889074" border="0" /></a><br />Velocidad a los 5 seg:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipHxHpSLfVMRfQDwZ7Fu6eDQH-8aeKlSqpIULDuuFXJM4zLtWO5uq2UxRiFkA6nvUy39nV4jIXHwFv_cjVgNajsX9TTLrT2QNysu17UVWBtDPkufMpieWpe07wgJKhDDZlkGydhs4ySBpD/s1600/v+5+mayo.bmp"><img style="cursor: pointer; width: 350px; height: 180px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipHxHpSLfVMRfQDwZ7Fu6eDQH-8aeKlSqpIULDuuFXJM4zLtWO5uq2UxRiFkA6nvUy39nV4jIXHwFv_cjVgNajsX9TTLrT2QNysu17UVWBtDPkufMpieWpe07wgJKhDDZlkGydhs4ySBpD/s400/v+5+mayo.bmp" alt="" id="BLOGGER_PHOTO_ID_5478562608792933410" border="0" /></a><br />velocidad a los 100 metros:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjU02eIMarADmbvQ9wz3CPvrirPQkYjNLP_BYJpv8SJguZcc36YqlSnwV6xho25mt5ES15z8VAX336LORNrp-cJybeHigrGpme6YrxpCvLE2eUu1iSrYBhocAZeF-ELiMrfRZb27XnrWVo/s1600/v+100+mayo.bmp"><img style="cursor: pointer; width: 302px; height: 169px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjU02eIMarADmbvQ9wz3CPvrirPQkYjNLP_BYJpv8SJguZcc36YqlSnwV6xho25mt5ES15z8VAX336LORNrp-cJybeHigrGpme6YrxpCvLE2eUu1iSrYBhocAZeF-ELiMrfRZb27XnrWVo/s400/v+100+mayo.bmp" alt="" id="BLOGGER_PHOTO_ID_5478565482535653186" border="0" /></a>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-47261307209194490842010-05-31T18:13:00.000-07:002010-05-31T20:01:04.231-07:00Abril<br /><span style="font-weight: bold;">Función cúbica</span><br />Análisis de la ecuación: <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7EgKN3X9ni3gTcMhXkZUfNVeQynlaLaWEzZq9tBNAQoER2bT57PxhtGpYrQ7Ezuo7z5npQy98tHZloMfzSjJdFmL0sr5Efe9KcGznr0XYegpWhoVPyT0NXV4khGBBCLTRRbpJbO6d_kT_/s1600/ax%5E3+bx%5E2+cx+d.bmp"><img style="cursor: pointer; width: 203px; height: 37px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7EgKN3X9ni3gTcMhXkZUfNVeQynlaLaWEzZq9tBNAQoER2bT57PxhtGpYrQ7Ezuo7z5npQy98tHZloMfzSjJdFmL0sr5Efe9KcGznr0XYegpWhoVPyT0NXV4khGBBCLTRRbpJbO6d_kT_/s400/ax%5E3+bx%5E2+cx+d.bmp" alt="" id="BLOGGER_PHOTO_ID_5477611351556022146" border="0" /></a><br />Características:<br />•Cuando todos sus valores son = 1 se forman dos semiparabolas, una abre hacia arriba en el cuadrante uno y la otra abre hacia abajo en el cuadrante tres.<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipwYWPb4pcNTRJS1RRkFnqrLafOa6Kl9Ro0Lt43eVxhcnhb4-d3hJonP-UyNoKTyg6uHQ3LdwErus24OF_kh4SD_gj-LJTAI10Tw6AM9hGhEXwW4FdoxtmEs3yHP6oFuE9a7nfEcMWVfvv/s1600/gr%C3%A1fica++ax%5E3.bmp"><img style="cursor: pointer; width: 495px; height: 404px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipwYWPb4pcNTRJS1RRkFnqrLafOa6Kl9Ro0Lt43eVxhcnhb4-d3hJonP-UyNoKTyg6uHQ3LdwErus24OF_kh4SD_gj-LJTAI10Tw6AM9hGhEXwW4FdoxtmEs3yHP6oFuE9a7nfEcMWVfvv/s400/gr%C3%A1fica++ax%5E3.bmp" alt="" id="BLOGGER_PHOTO_ID_5477619853260467794" border="0" /></a><br />•Cuando la a es igual a cero la gráfica se convierte en una ecuación cuadrática que nos da una parábola, su formula es: <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIY9pkH0bSqjfF-pcq72SZm9lUsLDjIuottdvZbms6XIE_pTzpMrDduZuCka26N_6k8IC7OKF2zP0_0iKjO37be6GU7-7BYwMSI8uGkrlLK-2cGgecD8ADZFdSIaNYaNbziQfZ5oIS-uv0/s1600/ecu+parabola.bmp"><img style="cursor: pointer; width: 164px; height: 33px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIY9pkH0bSqjfF-pcq72SZm9lUsLDjIuottdvZbms6XIE_pTzpMrDduZuCka26N_6k8IC7OKF2zP0_0iKjO37be6GU7-7BYwMSI8uGkrlLK-2cGgecD8ADZFdSIaNYaNbziQfZ5oIS-uv0/s400/ecu+parabola.bmp" alt="" id="BLOGGER_PHOTO_ID_5477622427907449714" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik1boL_dmGST_ts0sO6UJ4aIWpb4k7AwIUvcqZy_qsDUf8BC5b_y9U9nBQ9LhRZFYlvH4a65WU7eSDaIo6p5D06BNCsG5cvMWMMmqGVHoHOpiCWEwCH2uKKgZzUiZYzHaee4SsVxjvr7BL/s1600/grafica+a%3D0+ax%5E3.bmp"><img style="cursor: pointer; width: 492px; height: 389px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik1boL_dmGST_ts0sO6UJ4aIWpb4k7AwIUvcqZy_qsDUf8BC5b_y9U9nBQ9LhRZFYlvH4a65WU7eSDaIo6p5D06BNCsG5cvMWMMmqGVHoHOpiCWEwCH2uKKgZzUiZYzHaee4SsVxjvr7BL/s400/grafica+a%3D0+ax%5E3.bmp" alt="" id="BLOGGER_PHOTO_ID_5477621801222115874" border="0" /></a><br />•cuando la a es negativa se forman unas semiparabolas que van del cuadrante dos que abre hacia arriba y otra que empieza en el cuadrante uno en el punto (0,-1) y después pasa al cuarto:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilqWr2j85rDwlLlPkiRb0zq6Df7sGQjKuOBeHJkMCTL7VV4GaAT3cHvo6cOlqQomPmCAvGJ3KxDMgeNy_-BhMDoAoECJow34QeNh_0HFi49UsWzd4WyCfh3T3YYTC_4nnuvwgro-ksnHLW/s1600/grafica+a%3D-1+ax%5E3.bmp"><img style="cursor: pointer; width: 496px; height: 396px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilqWr2j85rDwlLlPkiRb0zq6Df7sGQjKuOBeHJkMCTL7VV4GaAT3cHvo6cOlqQomPmCAvGJ3KxDMgeNy_-BhMDoAoECJow34QeNh_0HFi49UsWzd4WyCfh3T3YYTC_4nnuvwgro-ksnHLW/s400/grafica+a%3D-1+ax%5E3.bmp" alt="" id="BLOGGER_PHOTO_ID_5477628195428773650" border="0" /></a><br />•La d, la c y la b funcionan igual que en la parábola, la b y la c determinan la inclinación y la curvatura de las semiparabolas y la d es el punto de corte en el eje y en el cual se unen las semiparabolas.<br />•a=1 •b=5 •c=5 •d=2<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDUUBz8XwEiYZvgV5DjfGvSvbxOnZ19TeHHPH9AYx4eTnGOzNNdzEJ-VnNKWwNKkuFW5gCVz4CHqdCN9UEV5VUaxw_5uAh1JJr5ap7ITMsav_sbd7OFlWzQYsPva4_B6fFOwLAT1argvNd/s1600/grafica+a%3D1+b%3D5+c%3D5+d%3D2+ax%5E3.bmp"><img style="cursor: pointer; width: 494px; height: 387px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDUUBz8XwEiYZvgV5DjfGvSvbxOnZ19TeHHPH9AYx4eTnGOzNNdzEJ-VnNKWwNKkuFW5gCVz4CHqdCN9UEV5VUaxw_5uAh1JJr5ap7ITMsav_sbd7OFlWzQYsPva4_B6fFOwLAT1argvNd/s400/grafica+a%3D1+b%3D5+c%3D5+d%3D2+ax%5E3.bmp" alt="" id="BLOGGER_PHOTO_ID_5477633444256945938" border="0" /></a>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-33988102447093708232010-05-31T17:28:00.000-07:002010-05-31T18:20:54.898-07:00Abril
<br /><p class="MsoNormal" style="margin-bottom: 12pt; line-height: normal;"><span style=";font-family:";" ><b>
<br />Temas:</b>
<br />•Funciones trigonométricas
<br />•Función a trazos
<br />•Función cuadrática
<br />•Función exponencial
<br />•Función irracional
<br />•Función racional
<br />•Función logaritmica
<br />•Función de proporcionalidad
<br /><b>
<br />Función parabólica</b>
<br />Análisis del movimiento de un proyectil:
<br />un proyectil es disparado desde un acantilado a 500 pies por encima del agua con una inclinación de 45º respecto a la horizontal, la velocidad del disparo es de 400 pies/segundo la altura h por encima del agua esta dada por:</span><span style=";font-family:";" ><o:p></o:p></span></p> <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi17xOY-SMnESDrAVyJx-ISlSZmEHyxLX4qOaXuGduXw1g8PzmeHQcnAN9n5G8U30HaB8YS71SKAh5BcRYPqu5jZDmVXOF_jnv96qU1DM9P1DLRmJFljtYjbOMtEPlvpUmL1KI52Y9fN7D6/s1600/ejercicio.bmp"><img style="cursor: pointer; width: 278px; height: 74px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi17xOY-SMnESDrAVyJx-ISlSZmEHyxLX4qOaXuGduXw1g8PzmeHQcnAN9n5G8U30HaB8YS71SKAh5BcRYPqu5jZDmVXOF_jnv96qU1DM9P1DLRmJFljtYjbOMtEPlvpUmL1KI52Y9fN7D6/s400/ejercicio.bmp" alt="" id="BLOGGER_PHOTO_ID_5477598302447889298" border="0" /></a><p class="MsoNormal"><span style=";font-family:";" >
<br />Donde x es la distancia horizontal del proyectil desde la base del acantilado.
<br />a). Encontrar la h máx del proyectil
<br />b). ¿A que distancia desde la base del acantilado chocara el proyectil con el agua?
<br />c).hacer la gráfica del proyectil disparado.
<br />
<br />Solución:
<br />a). la altura máxima del proyectil esta dada por una ecuación cuadrática:
<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkvNbHvIfCl_Eh8Bu_WnkgRlyiDX3cyaj1l__cXO9FYb6u9k2_FXthTMOFQAZ8qesMhjRvr8eY9_d70bbBJUNhwjqz_W3d_-w1fNPyo0XILA84tgpK3awgJ4HMVeB7oXUE_BrHqOmql2yp/s1600/ecu1.bmp"><img style="cursor: pointer; width: 398px; height: 60px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkvNbHvIfCl_Eh8Bu_WnkgRlyiDX3cyaj1l__cXO9FYb6u9k2_FXthTMOFQAZ8qesMhjRvr8eY9_d70bbBJUNhwjqz_W3d_-w1fNPyo0XILA84tgpK3awgJ4HMVeB7oXUE_BrHqOmql2yp/s400/ecu1.bmp" alt="" id="BLOGGER_PHOTO_ID_5477599190603229666" border="0" /></a></p><p class="MsoNormal"><span style=";font-family:";" >•el valor máximo de h se obtiene con la formula del vértice así:
<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4Afe2YF_aDPXEKoWhvVALKX0MYU7UqSiM3OxzuLmC14wil71LBkmGgX-7rPJ_EodxezeQ9e1vqm9ARUeiOEgkL4yaQ4iaY3lBrFf3lfRA91KbWWUEgJQSXsdpNPvKZyz477ULgFJ_2PgC/s1600/h+max.bmp"><img style="cursor: pointer; width: 320px; height: 85px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4Afe2YF_aDPXEKoWhvVALKX0MYU7UqSiM3OxzuLmC14wil71LBkmGgX-7rPJ_EodxezeQ9e1vqm9ARUeiOEgkL4yaQ4iaY3lBrFf3lfRA91KbWWUEgJQSXsdpNPvKZyz477ULgFJ_2PgC/s400/h+max.bmp" alt="" id="BLOGGER_PHOTO_ID_5477597960175868834" border="0" /></a>
<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhS0uDhXWDZtOTrIr3sKc1IS5Dfeh9E6TTehrLhEgvhxW-BjjtfeRkNB1pq8CN5Jir2mpfMvl4gjNFp2h0dZWhKx2Qkc4mjj_qL43avi2bgE9z7NwFp7lik839AQNZWlAJd5yPatk2eRzq8/s1600/h+max.bmp"><span style=";font-family:";color:blue;" ><!--[if gte vml 1]><v:shape id="BLOGGER_PHOTO_ID_5477224958941794754" spid="_x0000_i1033" type="#_x0000_t75" alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhS0uDhXWDZtOTrIr3sKc1IS5Dfeh9E6TTehrLhEgvhxW-BjjtfeRkNB1pq8CN5Jir2mpfMvl4gjNFp2h0dZWhKx2Qkc4mjj_qL43avi2bgE9z7NwFp7lik839AQNZWlAJd5yPatk2eRzq8/s400/h+max.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhS0uDhXWDZtOTrIr3sKc1IS5Dfeh9E6TTehrLhEgvhxW-BjjtfeRkNB1pq8CN5Jir2mpfMvl4gjNFp2h0dZWhKx2Qkc4mjj_qL43avi2bgE9z7NwFp7lik839AQNZWlAJd5yPatk2eRzq8/s1600/h+max.bmp" style="'width:240pt;height:63.75pt;visibility:visible;mso-wrap-style:square'" button="t"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image003.jpg" title="h+max"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_RIrlFmiNM4hlpiRUD6oaj5aUCNILTe9WJJt_bzD0RdQ8-zNE0JxuHQZPstX74bMKhGPvyxZniETCUGWn6btg7btL3SEwm8GaiEdiLfXLp26KJqRTg8-EQ6RGoaUeJyUPGSja6ZBxelik/s1600/h+max1.bmp"><span style=";font-family:";color:blue;" ><!--[if gte vml 1]><v:shape id="BLOGGER_PHOTO_ID_5477227145916903714" spid="_x0000_i1032" type="#_x0000_t75" alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_RIrlFmiNM4hlpiRUD6oaj5aUCNILTe9WJJt_bzD0RdQ8-zNE0JxuHQZPstX74bMKhGPvyxZniETCUGWn6btg7btL3SEwm8GaiEdiLfXLp26KJqRTg8-EQ6RGoaUeJyUPGSja6ZBxelik/s400/h+max1.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_RIrlFmiNM4hlpiRUD6oaj5aUCNILTe9WJJt_bzD0RdQ8-zNE0JxuHQZPstX74bMKhGPvyxZniETCUGWn6btg7btL3SEwm8GaiEdiLfXLp26KJqRTg8-EQ6RGoaUeJyUPGSja6ZBxelik/s1600/h+max1.bmp" style="'width:4in;height:63.75pt;visibility:visible;mso-wrap-style:square'" button="t"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image004.jpg" title="h+max1"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8_AcnTX7ZtJGuK6AzZQa11Lr3PRfC8HgF4ZY-I4OybtWg657Jk-8hSyX90gv8uzh1Lea2iL0OLL-jprg-X6IEoAHYTTgWQ-7nxRY0e1-mb6TZowoBuenidmRN1YERt3B8Sbxyt4Gr_q_y/s1600/h+max1.bmp"><img style="cursor: pointer; width: 384px; height: 85px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8_AcnTX7ZtJGuK6AzZQa11Lr3PRfC8HgF4ZY-I4OybtWg657Jk-8hSyX90gv8uzh1Lea2iL0OLL-jprg-X6IEoAHYTTgWQ-7nxRY0e1-mb6TZowoBuenidmRN1YERt3B8Sbxyt4Gr_q_y/s400/h+max1.bmp" alt="" id="BLOGGER_PHOTO_ID_5477597590334468066" border="0" /></a>
<br /><span style=";font-family:";" >
<br />b). El proyectil chocara con el agua cuando su altura sea 0, para hallar la distancia solucionaremos primero la ecuación:</span></p><p class="MsoNormal"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAtHOUcL_3Tz1ES-n4FwdOVh-GGf3w-lZQIScP-aHoGWwRp2hGwRPWf0LUphiWmFt3XfCxqBkhPeAO8DPHC6X_1CTCOxvAHR8vN11_OhRv9ioiKd3e-r3Q2TC46vvgkwJoniaTcgZgY-_8/s1600/ecu2.bmp"><img style="cursor: pointer; width: 279px; height: 54px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAtHOUcL_3Tz1ES-n4FwdOVh-GGf3w-lZQIScP-aHoGWwRp2hGwRPWf0LUphiWmFt3XfCxqBkhPeAO8DPHC6X_1CTCOxvAHR8vN11_OhRv9ioiKd3e-r3Q2TC46vvgkwJoniaTcgZgY-_8/s400/ecu2.bmp" alt="" id="BLOGGER_PHOTO_ID_5477598760660255538" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTmTOUeJxsZoYf8UWtJRk_qhyphenhyphenOXBZh-7wFCk1OyjW6yNrucyjCO9xCkXc1wI_1L7RoNkPtC8buvPc9Z1mbe45pICofeEuz8BLjdD8WV-4PRYQyP-qvXMiZyAqNoY-X3o8Q46jeGihvQEX7/s1600/ecu2.bmp"><span style=";font-family:";color:blue;" ><!--[if gte vml 1]><v:shape id="BLOGGER_PHOTO_ID_5477234566730344338" spid="_x0000_i1031" type="#_x0000_t75" alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTmTOUeJxsZoYf8UWtJRk_qhyphenhyphenOXBZh-7wFCk1OyjW6yNrucyjCO9xCkXc1wI_1L7RoNkPtC8buvPc9Z1mbe45pICofeEuz8BLjdD8WV-4PRYQyP-qvXMiZyAqNoY-X3o8Q46jeGihvQEX7/s400/ecu2.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTmTOUeJxsZoYf8UWtJRk_qhyphenhyphenOXBZh-7wFCk1OyjW6yNrucyjCO9xCkXc1wI_1L7RoNkPtC8buvPc9Z1mbe45pICofeEuz8BLjdD8WV-4PRYQyP-qvXMiZyAqNoY-X3o8Q46jeGihvQEX7/s1600/ecu2.bmp" style="'width:209.25pt;height:40.5pt;visibility:visible;mso-wrap-style:square'" button="t"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image005.jpg" title="ecu2"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span></a><span style=";font-family:";" >
<br />utilizaremos la formula del discriminante:</span></p><p class="MsoNormal"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaYlc6imApCEssUuN6ChVHiS_TrfYGSm0jS4lMsCm_XcMCwXCFCzAr_8WTtbA3FtDnkzqMG-1TT4B5IZa7-vUB9EtfNOuO0wiZK667Yzd1Z2vEQeCS1db73RWxtGUlk-JEbSIGpmGDdjPW/s1600/discriminante.bmp"><img style="cursor: pointer; width: 311px; height: 49px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaYlc6imApCEssUuN6ChVHiS_TrfYGSm0jS4lMsCm_XcMCwXCFCzAr_8WTtbA3FtDnkzqMG-1TT4B5IZa7-vUB9EtfNOuO0wiZK667Yzd1Z2vEQeCS1db73RWxtGUlk-JEbSIGpmGDdjPW/s400/discriminante.bmp" alt="" id="BLOGGER_PHOTO_ID_5477597391805931906" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgY3f2IXpjwhSrMQjeaC9MWWqJ7xBlPcxwwZobn2M65DDaqQVOkuthnzeNMOvybOXe0T3WjfeoNVBv_IC70mpPYJbOuYc0FmjlC9iWhRVXOSEqeRL66UaevPgpFrzGUmofv_7IOouvzrk0v/s1600/discriminante.bmp"><span style=";font-family:";color:blue;" ><!--[if gte vml 1]><v:shape id="BLOGGER_PHOTO_ID_5477246953138875410" spid="_x0000_i1030" type="#_x0000_t75" alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgY3f2IXpjwhSrMQjeaC9MWWqJ7xBlPcxwwZobn2M65DDaqQVOkuthnzeNMOvybOXe0T3WjfeoNVBv_IC70mpPYJbOuYc0FmjlC9iWhRVXOSEqeRL66UaevPgpFrzGUmofv_7IOouvzrk0v/s400/discriminante.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgY3f2IXpjwhSrMQjeaC9MWWqJ7xBlPcxwwZobn2M65DDaqQVOkuthnzeNMOvybOXe0T3WjfeoNVBv_IC70mpPYJbOuYc0FmjlC9iWhRVXOSEqeRL66UaevPgpFrzGUmofv_7IOouvzrk0v/s1600/discriminante.bmp" style="'width:234pt;height:36.75pt;visibility:visible;mso-wrap-style:square'" button="t"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image006.jpg" title="discriminante"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span></a><span style=";font-family:";" >
<br />la ecuación tiene dos soluciones entonces aplicaremos la formula del bachiller:</span></p><p class="MsoNormal"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjFsuBLV6UcmkZYlre36q-sVWLWixd7Iwg2OWfhxGsCJM9cyV40jb2DqtIkp12c9QwCibA46HMFl22gJT_55veOGWUklxM_nGid-fLZjy2D39Ho24UXG9u0l0FnZR9njhx21nGuKiD92mr/s1600/formula+del+bachiller.bmp"><img style="cursor: pointer; width: 265px; height: 80px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjFsuBLV6UcmkZYlre36q-sVWLWixd7Iwg2OWfhxGsCJM9cyV40jb2DqtIkp12c9QwCibA46HMFl22gJT_55veOGWUklxM_nGid-fLZjy2D39Ho24UXG9u0l0FnZR9njhx21nGuKiD92mr/s400/formula+del+bachiller.bmp" alt="" id="BLOGGER_PHOTO_ID_5477599711860392866" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhAuVGeqrjvT4xFreKvFLzTxKpj74JzV9qM4cu5IOpSqAXz218SoN_cr7vnS6LI-FMPzHa9xmnzeegM1XR4pgqd65xroBYcbPaftCfAcVJB2dZOUxaksBKJlsU2VkAVUj22TP8rsqAHTGP/s1600/formula+del+bachiller.bmp"><span style=";font-family:";color:blue;" ><!--[if gte vml 1]><v:shape id="BLOGGER_PHOTO_ID_5477248579453783570" spid="_x0000_i1029" type="#_x0000_t75" alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhAuVGeqrjvT4xFreKvFLzTxKpj74JzV9qM4cu5IOpSqAXz218SoN_cr7vnS6LI-FMPzHa9xmnzeegM1XR4pgqd65xroBYcbPaftCfAcVJB2dZOUxaksBKJlsU2VkAVUj22TP8rsqAHTGP/s400/formula+del+bachiller.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhAuVGeqrjvT4xFreKvFLzTxKpj74JzV9qM4cu5IOpSqAXz218SoN_cr7vnS6LI-FMPzHa9xmnzeegM1XR4pgqd65xroBYcbPaftCfAcVJB2dZOUxaksBKJlsU2VkAVUj22TP8rsqAHTGP/s1600/formula+del+bachiller.bmp" style="'width:198pt;height:60pt;visibility:visible;mso-wrap-style:square'" button="t"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image007.jpg" title="formula+del+bachiller"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span></a></p><p class="MsoNormal"><span style=";font-family:";" >Desechamos el resultado negativo y encontramos que el proyectil chocara con el agua a una distancia de 5458 pies a partir de la base del acantilado.</span></p><p class="MsoNormal"><span style=";font-family:";" >c).La gráfica se hace teniendo en cuenta la trayectoria que tiene el proyectil tomando el punto de la base del acantilado, el punto máximo y el punto en el que chocara con el agua:
<br /></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3GbHiH4pMPB_jjM0GXf7jCIf8oaQFlFuRoAgm70hlemDWPQHGErcwkn8ZIYi5qnuZJIs7z_XQXQFLeCswKqHOGDPXzmSAeBQ2l7DyrORtD3CQsgYzbAr8J1uI9y2HHJ-_KuGHyD2kUqlb/s1600/c.bmp"><span style=";font-family:";color:blue;" ><!--[if gte vml 1]><v:shape id="BLOGGER_PHOTO_ID_5477258301716367106" spid="_x0000_i1028" type="#_x0000_t75" alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3GbHiH4pMPB_jjM0GXf7jCIf8oaQFlFuRoAgm70hlemDWPQHGErcwkn8ZIYi5qnuZJIs7z_XQXQFLeCswKqHOGDPXzmSAeBQ2l7DyrORtD3CQsgYzbAr8J1uI9y2HHJ-_KuGHyD2kUqlb/s400/c.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3GbHiH4pMPB_jjM0GXf7jCIf8oaQFlFuRoAgm70hlemDWPQHGErcwkn8ZIYi5qnuZJIs7z_XQXQFLeCswKqHOGDPXzmSAeBQ2l7DyrORtD3CQsgYzbAr8J1uI9y2HHJ-_KuGHyD2kUqlb/s1600/c.bmp" style="'width:300pt;height:276pt;visibility:visible;mso-wrap-style:square'" button="t"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image008.jpg" title="c"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNQnwkcrYZXv8k_mesqfeEKymz720FQxozTNrByoNL_2rc9BrwHM31KLf9BCuGQXSSCp5oKug6lyr_IfuAjr_N7MY6QJf5jZ7oCayXHctpYja7n-s07vQYbJgqu0WueIp1BYp0towwJH-x/s1600/c.bmp"><img style="cursor: pointer; width: 400px; height: 368px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNQnwkcrYZXv8k_mesqfeEKymz720FQxozTNrByoNL_2rc9BrwHM31KLf9BCuGQXSSCp5oKug6lyr_IfuAjr_N7MY6QJf5jZ7oCayXHctpYja7n-s07vQYbJgqu0WueIp1BYp0towwJH-x/s400/c.bmp" alt="" id="BLOGGER_PHOTO_ID_5477596998596008002" border="0" /></a>
<br /><span style=";font-family:";" >
<br /><b>Función cuadrática</b>:
<br />Ecuación:
<br /></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikzs2_NrwZzvuj8CzdjKn7_5l49RzuDpee4D-E6_bBYZSmv1cza3-khUL485njJakjbN_5EsW1gqjyzCmkzOLKoLUGV0AU_8KVsqiJQ5_R9TL8H3wikEc4FmtNUoustwmdOB3tyLoeAhep/s1600/ecu+parabola.bmp"><span style=";font-family:";color:blue;" ><!--[if gte vml 1]><v:shape id="BLOGGER_PHOTO_ID_5477268139130752466" spid="_x0000_i1027" type="#_x0000_t75" alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikzs2_NrwZzvuj8CzdjKn7_5l49RzuDpee4D-E6_bBYZSmv1cza3-khUL485njJakjbN_5EsW1gqjyzCmkzOLKoLUGV0AU_8KVsqiJQ5_R9TL8H3wikEc4FmtNUoustwmdOB3tyLoeAhep/s400/ecu+parabola.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikzs2_NrwZzvuj8CzdjKn7_5l49RzuDpee4D-E6_bBYZSmv1cza3-khUL485njJakjbN_5EsW1gqjyzCmkzOLKoLUGV0AU_8KVsqiJQ5_R9TL8H3wikEc4FmtNUoustwmdOB3tyLoeAhep/s1600/ecu+parabola.bmp" style="'width:123pt;height:24.75pt;visibility:visible;mso-wrap-style:square'" button="t"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image009.jpg" title="ecu+parabola"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2jp7UORV6pW2WXCiUA4XyybhJXkfQz1BSdSejDP8tAFSAJYLwVIWBH_9mPoZvoOcJENd0EbSF9efYoHQ13OmstNphfnB8YqprgOzw2AiYx9vmyLdd9VwUfzvlSD-IGjzmHPqRMQ5zn8UF/s1600/ecu+parabola.bmp"><img style="cursor: pointer; width: 164px; height: 33px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2jp7UORV6pW2WXCiUA4XyybhJXkfQz1BSdSejDP8tAFSAJYLwVIWBH_9mPoZvoOcJENd0EbSF9efYoHQ13OmstNphfnB8YqprgOzw2AiYx9vmyLdd9VwUfzvlSD-IGjzmHPqRMQ5zn8UF/s400/ecu+parabola.bmp" alt="" id="BLOGGER_PHOTO_ID_5477599896353610402" border="0" /></a>
<br /><span style=";font-family:";" ><b>a</b>
<br />si la vale 0 es una linea recta
<br />si a es negativa la parábola abre hacia abajo
<br />si la a aumenta la parábola se abre
<br />si la a disminuye la parábola se angosta
<br />si la "a" es positiva la parábola abre hacia arriba
<br />si la "a" es negativa la parábola abre hacia abajo
<br /><b>b</b>
<br />la b es el movimiento de la parábola en el eje x si la b es 0
<br />si la b es 0 coincide con el punto de corte en el eje y, y c es el vértice
<br />si la b es positiva la parábola tira a la derecha, si es negativa tira a la izquierda
<br /><b>c</b>
<br />c es el movimiento de la parábola en el eje y
<br />si es positiva tiende a la y positiva y si es negativa a la y negativa
<br />
<br /><b>Consulta:</b>
<br /><b>Directriz</b>:<b> </b>la directriz de una parábola es la recta fija que, junto con el foco, sirve para determinarla.
<br /><b>Foco</b>: El foco de la parábola es un punto. Respecto del foco, cada punto de la parábola posee la misma distancia que hasta una recta llamada directriz.
<br /><b>Vértice:</b> Punto de una curva en el que la curvatura es máxima o mínima: una parábola solo tiene un vértice.
<br /><b>Linea secante:</b> es una línea que intersecta dos o más puntos de una curva. (Viene del Latín <i>secare</i> "cortar")
<br /><b>Linea tangente:</b> Es una línea que apenas toca a una curva en un punto, sin cortarla.
<br /><b>Dominio</b>: Es el conjunto de todos los posibles valores de ingreso que la función acepta.
<br /><b>Rango:</b> Es el conjunto de todos los valores de salida de una función.
<br /><b>-</b>ejemplo de rango y dominio<b>:</b> Si a la función f(x) = x<sup>2</sup> se le dan los valores x = {1,2,3,...} entonces {1,2,3,...} es el dominio el y el rango será {1,4,9,...}
<br /><b>Función uno a uno: </b>Una función f con dominio A y recorrido B es una función uno a uno
<br />(o inyectiva)si siempre que </span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8q_kkD-VqDZV6NvEpSE63mLuwY50Enz-q7tabR10j9jal-cWMTML0PumLNL2G5qltwVGyMud9f1-rgL-F2Xndf-zGVIbVTu20Fj64-HfNZoF_NTWmeItrbGqbnrEtzmqc-FxMpaelP4o7/s1600/a+diferente+a+b.bmp"><img style="cursor: pointer; width: 62px; height: 28px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8q_kkD-VqDZV6NvEpSE63mLuwY50Enz-q7tabR10j9jal-cWMTML0PumLNL2G5qltwVGyMud9f1-rgL-F2Xndf-zGVIbVTu20Fj64-HfNZoF_NTWmeItrbGqbnrEtzmqc-FxMpaelP4o7/s400/a+diferente+a+b.bmp" alt="" id="BLOGGER_PHOTO_ID_5477601773192422370" border="0" /></a><span style=";font-family:";" > </span><span style=";font-family:";" ><!--[endif]--></span><span style=";font-family:";" >en A se tiene que</span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO38hap5Nb1BwUqlqzYs-StL3kHeK4dfMMRILI0NAeciBVEXkeoUP8-WNIBL6KTNysrrlJU8qZNLSmKkyMSnT4aMK_ijUBI3zMOoMs0nVa7JpCQl42gmHUYAg-OZskPEuF9kX6_QxSArza/s1600/funcion+de+a+diferente+afuncion+de+b.bmp"><img style="cursor: pointer; width: 128px; height: 30px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO38hap5Nb1BwUqlqzYs-StL3kHeK4dfMMRILI0NAeciBVEXkeoUP8-WNIBL6KTNysrrlJU8qZNLSmKkyMSnT4aMK_ijUBI3zMOoMs0nVa7JpCQl42gmHUYAg-OZskPEuF9kX6_QxSArza/s400/funcion+de+a+diferente+afuncion+de+b.bmp" alt="" id="BLOGGER_PHOTO_ID_5477602199610097618" border="0" /></a><span style=";font-family:";" > </span><span style=";font-family:";" ><!--[if gte vml 1]><v:shape id="SPELLING_ERROR_7" spid="_x0000_i1025" type="#_x0000_t75" alt="$f(a)\<<span class=" style="'width:63pt;height:23.25pt;visibility:visible;mso-wrap-style:square'"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image011.gif" title="<<span class="> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--></span><span style=";font-family:";" > en B; en otras palabras, a elementos distintos del dominio le corresponden imagenes distintas en el recorrido. Gráficamente una función es inyectiva si solo si ninguna recta horizontal corta su gráfica mas de una vez.
<br /><b>Función creciente: </b>Una función es creciente en un intervalo si para dos valores cualesquiera del mismo se cumple que si X<sub>1 </sub><<sub> </sub>X<sub>2 </sub>entonces f(X<sub>1</sub>) <>2)<sub> </sub><b>
<br />Función decreciente:</b> Una función es decreciente en un intervalo si para dos valores cualesquiera del mismo se cumple que si X<sub>1 </sub><<sub> </sub>X<sub>2 </sub>entonces f(X<sub>1</sub>) > f(X<sub>2</sub>)<sub> </sub>
<br /><b>Función definida por partes:</b> Algunas funciones por su estructura difiere su criterio para ciertos valores de la variable independiente (variable “x”), esto hace que en muchos casos se necesite hacer un estudio particular de las mismas. Por estas variaciones en su criterio se les define como funciones por partes o a trozos.</span></p> <span class="en" a="" se="" tiene="" que=""><span class="en" otras="" a="" elementos="" distintos="" dominio="" le="" corresponden="" imagenes="" distintas="" el="" ficamente="" inyectiva="" solo="" ninguna="" recta="" horizontal="" corta="" su="" fica="" mas="" de="" una="" n="" es="" creciente="" en="" un="" intervalo="" para="" dos="" valores="" cualesquiera="" del="" mismo="" se="" cumple="" que="" si="" x1=""></span></span>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-57360362094931549122010-05-30T10:16:00.000-07:002010-05-31T18:21:50.656-07:00SEGUNDO PERIODOAbril
<br />Funciones
<br />Sirven para calñcular fuerzas, volumenes, formas que lleban distintos objetos, cosas o fenomenos cientificos o fisicos.
<br />La representacion de una funcion es f(x), quiere decir elementos que se toman en x y f(y) cuando los elementos se toman en y.
<br /><span style="font-weight: bold;">Repaso:</span>
<br />•Graficar:
<br /><meta equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><!--[if !mso]> <style> v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} </style> <![endif]--><link rel="themeData" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx"><link rel="colorSchemeMapping" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml"><!--[if gte mso 9]><xml> <w:worddocument> <w:view>Normal</w:View> <w:zoom>0</w:Zoom> <w:trackmoves/> <w:trackformatting/> <w:hyphenationzone>21</w:HyphenationZone> <w:punctuationkerning/> <w:validateagainstschemas/> <w:saveifxmlinvalid>false</w:SaveIfXMLInvalid> <w:ignoremixedcontent>false</w:IgnoreMixedContent> <w:alwaysshowplaceholdertext>false</w:AlwaysShowPlaceholderText> <w:donotpromoteqf/> <w:lidthemeother>ES-CO</w:LidThemeOther> <w:lidthemeasian>X-NONE</w:LidThemeAsian> <w:lidthemecomplexscript>X-NONE</w:LidThemeComplexScript> <w:compatibility> <w:breakwrappedtables/> <w:snaptogridincell/> <w:wraptextwithpunct/> <w:useasianbreakrules/> <w:dontgrowautofit/> <w:splitpgbreakandparamark/> <w:dontvertaligncellwithsp/> <w:dontbreakconstrainedforcedtables/> <w:dontvertalignintxbx/> <w:word11kerningpairs/> <w:cachedcolbalance/> </w:Compatibility> <w:browserlevel>MicrosoftInternetExplorer4</w:BrowserLevel> <m:mathpr> <m:mathfont val="Cambria Math"> <m:brkbin val="before"> <m:brkbinsub val="--"> <m:smallfrac val="off"> <m:dispdef/> <m:lmargin val="0"> <m:rmargin val="0"> <m:defjc val="centerGroup"> <m:wrapindent val="1440"> <m:intlim val="subSup"> <m:narylim val="undOvr"> </m:mathPr></w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:latentstyles deflockedstate="false" defunhidewhenused="true" defsemihidden="true" defqformat="false" defpriority="99" latentstylecount="267"> <w:lsdexception locked="false" priority="0" semihidden="false" unhidewhenused="false" qformat="true" name="Normal"> <w:lsdexception locked="false" priority="9" semihidden="false" unhidewhenused="false" qformat="true" name="heading 1"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 2"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 3"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 4"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 5"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 6"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 7"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 8"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 9"> <w:lsdexception locked="false" priority="39" name="toc 1"> <w:lsdexception locked="false" priority="39" name="toc 2"> <w:lsdexception locked="false" priority="39" name="toc 3"> <w:lsdexception locked="false" priority="39" name="toc 4"> <w:lsdexception locked="false" priority="39" name="toc 5"> <w:lsdexception locked="false" priority="39" name="toc 6"> <w:lsdexception locked="false" priority="39" name="toc 7"> <w:lsdexception locked="false" priority="39" name="toc 8"> <w:lsdexception locked="false" priority="39" name="toc 9"> <w:lsdexception locked="false" priority="35" qformat="true" name="caption"> <w:lsdexception locked="false" priority="10" semihidden="false" unhidewhenused="false" qformat="true" name="Title"> <w:lsdexception locked="false" priority="1" name="Default Paragraph Font"> <w:lsdexception locked="false" priority="11" semihidden="false" unhidewhenused="false" qformat="true" name="Subtitle"> <w:lsdexception locked="false" priority="22" semihidden="false" unhidewhenused="false" qformat="true" name="Strong"> <w:lsdexception locked="false" priority="20" semihidden="false" unhidewhenused="false" qformat="true" name="Emphasis"> <w:lsdexception locked="false" priority="59" semihidden="false" unhidewhenused="false" name="Table Grid"> <w:lsdexception locked="false" unhidewhenused="false" name="Placeholder Text"> <w:lsdexception locked="false" priority="1" semihidden="false" unhidewhenused="false" qformat="true" name="No Spacing"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 1"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 1"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 1"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 1"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 1"> <w:lsdexception locked="false" unhidewhenused="false" name="Revision"> <w:lsdexception locked="false" priority="34" semihidden="false" unhidewhenused="false" qformat="true" name="List Paragraph"> <w:lsdexception locked="false" priority="29" semihidden="false" unhidewhenused="false" qformat="true" name="Quote"> <w:lsdexception locked="false" priority="30" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Quote"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 1"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 1"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 1"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 1"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 1"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 1"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 1"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 2"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 2"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 2"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 2"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 2"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 2"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 2"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 2"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 2"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 2"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 2"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 3"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 3"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 3"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 3"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 3"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 3"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 3"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 3"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 3"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 3"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 3"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 3"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 3"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 4"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 4"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 4"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 4"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 4"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 4"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 4"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 4"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 4"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 4"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 4"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 4"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 4"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 4"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 5"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 5"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 5"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 5"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 5"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 5"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 5"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 5"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 5"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 5"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 5"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 5"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 5"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 5"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 6"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 6"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 6"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 6"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 6"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 6"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 6"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 6"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 6"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 6"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 6"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 6"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 6"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 6"> <w:lsdexception locked="false" priority="19" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Emphasis"> <w:lsdexception locked="false" priority="21" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Emphasis"> <w:lsdexception locked="false" priority="31" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Reference"> <w:lsdexception locked="false" priority="32" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Reference"> <w:lsdexception locked="false" priority="33" semihidden="false" unhidewhenused="false" qformat="true" name="Book Title"> <w:lsdexception locked="false" priority="37" name="Bibliography"> <w:lsdexception locked="false" priority="39" qformat="true" name="TOC Heading"> </w:LatentStyles> </xml><![endif]--><style> <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-1610611985 1107304683 0 0 159 0;} @font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:-1610611985 1073750139 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin-top:0cm; margin-right:0cm; margin-bottom:10.0pt; margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Arial","sans-serif"; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-fareast-language:EN-US;} .MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:12.0pt; mso-ansi-font-size:12.0pt; mso-bidi-font-size:12.0pt; mso-ascii-font-family:Arial; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Arial; mso-bidi-font-family:Arial; mso-fareast-language:EN-US;} .MsoPapDefault {mso-style-type:export-only; margin-bottom:10.0pt; line-height:115%;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> </style><!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} </style> <![endif]--> <p class="MsoNormal"><!--[if gte msEquation 12]><m:omathpara><m:omath><m:ssub><m:ssubpr><span style="'font-family:"><m:ctrlpr></m:ctrlPr></span></m:sSubPr><m:e><i style="'mso-bidi-font-style:"><span style="'font-family:"><m:r>f</m:r></span></i></m:e><m:sub><m:d><m:dpr><span style="'font-family:"><m:ctrlpr></m:ctrlPr></span></m:dPr><m:e><i style="'mso-bidi-font-style:"><span style="'font-family:"><m:r>x</m:r></span></i></m:e></m:d></m:sub></m:sSub><i style="'mso-bidi-font-style:normal'"><span style="'font-family:"><m:r>=</m:r></span></i><m:ssup><m:ssuppr><span style="'font-family:"><m:ctrlpr></m:ctrlPr></span></m:sSupPr><m:e><i style="'mso-bidi-font-style:"><span style="'font-family:"><m:r>x</m:r></span></i></m:e><m:sup><i style="'mso-bidi-font-style:normal'"><span style="'font-family:"><m:r>5</m:r></span></i></m:sup></m:sSup></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]-->
<br /><!--[endif]--></p><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghy0FZEkjvpJB_9Fofs8pb04gGJwLBuuuNJWu0M1DAKbBxs9qfIDMsPblLh3eIp6PBoJf2h2QgzSZfnWUp-4rFXqx54c_FhkQaJLRwDntYH5AxFrOwbY-GHMbt8A4Y2HN6O8BR-Mv5Vfzx/s1600/Dibujo.bmp"><img style="float: left; margin: 0pt 10px 10px 0pt; cursor: pointer; width: 527px; height: 331px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghy0FZEkjvpJB_9Fofs8pb04gGJwLBuuuNJWu0M1DAKbBxs9qfIDMsPblLh3eIp6PBoJf2h2QgzSZfnWUp-4rFXqx54c_FhkQaJLRwDntYH5AxFrOwbY-GHMbt8A4Y2HN6O8BR-Mv5Vfzx/s400/Dibujo.bmp" alt="" id="BLOGGER_PHOTO_ID_5477126465911246226" border="0" /></a><span style="font-weight: bold;">
<br /></span>
<br /><span style="font-weight: bold;">
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />Conclusiones:</span>
<br />•Cuando la x esta elevada a 5 en la funcion, hay dos semiparabolas, van en el cuadrante I y III, en froma vertical abriendo hacia arriba la del cuadrante I y hacia abajo la del cuadrante III
<br />•Los numeros de los valores en y positivos son los inversos de los valores de y negativos.
<br />
<br /><span style="font-weight: bold;">
<br />
<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgThEnVqRC_QrA8cq672vuUkQO3GY-5GMaBzj8CXsWwz1aafAwFNqsi961xnPfxMZxgn8sDv9tfSgZKcMWP8pOd3ZR21h2t61veBUkWrHUjrY-2cczYcioDaSY8flRpDV6Q7SeYt-ZQrJ9w/s1600/f(x)=sqrt%5E3(x).bmp"><img style="float: left; margin: 0pt 10px 10px 0pt; cursor: pointer; width: 527px; height: 331px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgThEnVqRC_QrA8cq672vuUkQO3GY-5GMaBzj8CXsWwz1aafAwFNqsi961xnPfxMZxgn8sDv9tfSgZKcMWP8pOd3ZR21h2t61veBUkWrHUjrY-2cczYcioDaSY8flRpDV6Q7SeYt-ZQrJ9w/s400/f(x)=sqrt%5E3(x).bmp" alt="" id="BLOGGER_PHOTO_ID_5477131405975947618" border="0" /></a>
<br /><span style="font-weight: bold;">
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />Conclusiones:</span>
<br />•Cuando la funcion es de la raiz cubica de x, hay dos semiparabolas, y va del cuadrante I al III, en froma horizontal, abriendo hacia la derecha en el cuadrante I y hacia la izquierda en el cuadrante III
<br /><div style="text-align: left;">•Los numeros de los valores en y positivos son los inversos de los valores de y negativos.</div>
<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhIJXncnlh-klXS7nb0eDO2E9OZ6aP29J8LH6FMNAA8J0_wILLO9zhzgbaCtJhCIaWjMp_wJ279fyXHytY9RlMCulPWK95ynBGXmwl_fo4-qowigRWxqqLfyPJKYO-OgelSZ9TH91OVR5j/s1600/f(x)=sqrt%5E8(x).bmp"><img style="float: left; margin: 0pt 10px 10px 0pt; cursor: pointer; width: 529px; height: 331px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhIJXncnlh-klXS7nb0eDO2E9OZ6aP29J8LH6FMNAA8J0_wILLO9zhzgbaCtJhCIaWjMp_wJ279fyXHytY9RlMCulPWK95ynBGXmwl_fo4-qowigRWxqqLfyPJKYO-OgelSZ9TH91OVR5j/s400/f(x)=sqrt%5E8(x).bmp" alt="" id="BLOGGER_PHOTO_ID_5477150170101047874" border="0" /></a><span style="font-weight: bold;">
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />Conclusiones:</span>
<br />•Cuando la cuando la funcion es la rais octava de x, nos da la grafica del dominio(valores en posibles en x) en el cuadrante I y se remonta en el eje Y hasta llegar a cero.
<br />•No hay valores para cuando los valores x son negativos porque no hay radicales de numeros negativos.
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-17755000934960385242010-03-07T08:45:00.000-08:002010-03-07T19:21:24.750-08:00Resumen clases de febrero: Inecuaciones de 1º y 2º grado - Valor absoluto<span style="font-weight: bold;">Pasos p</span><span style="font-weight: bold;">ara resolver una inecuacion:</span> <span style="font-weight: bold;"><br />Inecuacion lineal</span><span style="font-weight: bold;">:</span><br />♦Identificar la variable o incognita.<br />♦Analizar si la desigualdad es " <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9GtCssauPmlWkwe6DgoMlqHmW1nkTkvtZqdm_pm_N-mswg7tnlBX9zWiZeIKEHCvG03chM_aMOrjmYiJrvPoXDOzUsNxqMc9-UQnhgGQ7TI9WbjBd6_4wXXMvlgBEz15a9LjbQ6Dw8oLJ/s1600-h/mayor.bmp"><img style="cursor: pointer; width: 25px; height: 28px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9GtCssauPmlWkwe6DgoMlqHmW1nkTkvtZqdm_pm_N-mswg7tnlBX9zWiZeIKEHCvG03chM_aMOrjmYiJrvPoXDOzUsNxqMc9-UQnhgGQ7TI9WbjBd6_4wXXMvlgBEz15a9LjbQ6Dw8oLJ/s320/mayor.bmp" alt="" id="BLOGGER_PHOTO_ID_5445939508251803554" border="0" /></a>" mayor, "<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbkd4jfZDrLScX3yiouSu4OCFBb0cAP3DicnnXDMBJflguGPPSsbEiJADT68o5IFwQvaqiJHX89eFWxNWzVIHlkIBCnPTlrpwfwSbV9TrNEwormAeBDjQUtKxBSXG5a3CvBbNkgMZSRDPX/s1600-h/menor.bmp"><img style="cursor: pointer; width: 29px; height: 30px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbkd4jfZDrLScX3yiouSu4OCFBb0cAP3DicnnXDMBJflguGPPSsbEiJADT68o5IFwQvaqiJHX89eFWxNWzVIHlkIBCnPTlrpwfwSbV9TrNEwormAeBDjQUtKxBSXG5a3CvBbNkgMZSRDPX/s320/menor.bmp" alt="" id="BLOGGER_PHOTO_ID_5445940016043428466" border="0" /></a>" menor, "<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgu8Qn0dOA0gGGpgnyUIKPaO2kKYe3DG_ZJl_lG0zlcTJwkA4ETTAo3BaHj1ROFNix0T_PrmwjPn_4HeZtHsJAEdsBquV74ZsdpE9psS8mTBIfO-AcApvMQg5HYkO9uFp1vLbZQkp3CBo3o/s1600-h/mayor+igual.bmp"><img style="cursor: pointer; width: 21px; height: 25px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgu8Qn0dOA0gGGpgnyUIKPaO2kKYe3DG_ZJl_lG0zlcTJwkA4ETTAo3BaHj1ROFNix0T_PrmwjPn_4HeZtHsJAEdsBquV74ZsdpE9psS8mTBIfO-AcApvMQg5HYkO9uFp1vLbZQkp3CBo3o/s320/mayor+igual.bmp" alt="" id="BLOGGER_PHOTO_ID_5445939877703660498" border="0" /></a>"mayor o igual y "<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuaXcCiwqF557JJAS6oU5XcWxZZYMvJrt1s-WDuu6aRvK55JEojngCe0AtirI55Xb2CfTtqFkfDSDmSuiwUbLkrjtskkmecSMpUtt92rxVggvD1WRFGwv6RiJQeIn4p-MpG3W5ImttFXst/s1600-h/menor+igual.bmp"><img style="cursor: pointer; width: 21px; height: 28px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuaXcCiwqF557JJAS6oU5XcWxZZYMvJrt1s-WDuu6aRvK55JEojngCe0AtirI55Xb2CfTtqFkfDSDmSuiwUbLkrjtskkmecSMpUtt92rxVggvD1WRFGwv6RiJQeIn4p-MpG3W5ImttFXst/s320/menor+igual.bmp" alt="" id="BLOGGER_PHOTO_ID_5445940260322206450" border="0" /></a>" menor o igual.<br />♦Separar los términos que posean la variable o incognita.<br />♦Ver las restricciones: <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi5GB0xxO4GBHTKJuwAnlcxS_RqjBp3y28QR_hnLj30rf-phZKIe7-hResWwhTx5r0BhxKxtgfKw0FPG2Q2l_2u1u1mUyVl2b0bjEWJ43WgywJb2ShxnUdmgg1B6I0PJ7lb5W-640miLkK/s1600-h/restricciones.bmp"><img style="cursor: pointer; width: 146px; height: 46px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi5GB0xxO4GBHTKJuwAnlcxS_RqjBp3y28QR_hnLj30rf-phZKIe7-hResWwhTx5r0BhxKxtgfKw0FPG2Q2l_2u1u1mUyVl2b0bjEWJ43WgywJb2ShxnUdmgg1B6I0PJ7lb5W-640miLkK/s320/restricciones.bmp" alt="" id="BLOGGER_PHOTO_ID_5445958149319626290" border="0" /></a><br />♦Luego de encontrar el valor de la variable o incognita comprobar<br />♦Grafiar<br />♦Sacar el intervalo:<br />•Cuando es mayor o menor se ubica entre parentesis "( )" porque no lo incluye<br />•Cuando es mayor o igual ó menor o igual se ubican entre corchetes "[ ]" porque lo incluye<br />Ejemplo:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFE996XP0GiJS9N_6VwOi6qHkHsEQTWIwi2rDf6RsD9elwdXUNK_VbjsHKaV7fSb5i9i6AdhnEFCSUNg8kkilpxktSdjYRoLS046qDkn1Pt55LwX24YHIpeqmmyMFXwdr8t98ZKErtHKEx/s1600-h/ejercicio+solucion.bmp"><img style="cursor: pointer; width: 403px; height: 551px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFE996XP0GiJS9N_6VwOi6qHkHsEQTWIwi2rDf6RsD9elwdXUNK_VbjsHKaV7fSb5i9i6AdhnEFCSUNg8kkilpxktSdjYRoLS046qDkn1Pt55LwX24YHIpeqmmyMFXwdr8t98ZKErtHKEx/s400/ejercicio+solucion.bmp" alt="" id="BLOGGER_PHOTO_ID_5446097334073041714" border="0" /></a><br /> <br /><span style="font-weight: bold;"><br />Inecua</span><span style="font-weight: bold;">cio</span><span style="font-weight: bold;">nes cuadraticas:</span><br />♦Factorice<br /><br />♦Restricciones:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi5GB0xxO4GBHTKJuwAnlcxS_RqjBp3y28QR_hnLj30rf-phZKIe7-hResWwhTx5r0BhxKxtgfKw0FPG2Q2l_2u1u1mUyVl2b0bjEWJ43WgywJb2ShxnUdmgg1B6I0PJ7lb5W-640miLkK/s1600-h/restricciones.bmp"><img style="cursor: pointer; width: 146px; height: 46px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi5GB0xxO4GBHTKJuwAnlcxS_RqjBp3y28QR_hnLj30rf-phZKIe7-hResWwhTx5r0BhxKxtgfKw0FPG2Q2l_2u1u1mUyVl2b0bjEWJ43WgywJb2ShxnUdmgg1B6I0PJ7lb5W-640miLkK/s320/restricciones.bmp" alt="" id="BLOGGER_PHOTO_ID_5445958149319626290" border="0" /></a><br />♦Hayar discriminante para ver si tiene solucion:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYxtRMMW8glbNMNFV66ti1yfC6OHOfkzmMsEnsOJg19hzx3hDf6-ZBcYQ1Yv7IXtrJOdgxEFwUoebhhkFWW4JqPi-S5XyOU10RgiL8Z0c6d7_Q74vKAprC0OYtw-bfwT3F_TJfjncjKIL1/s1600-h/determinante.bmp"><img style="cursor: pointer; width: 170px; height: 231px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYxtRMMW8glbNMNFV66ti1yfC6OHOfkzmMsEnsOJg19hzx3hDf6-ZBcYQ1Yv7IXtrJOdgxEFwUoebhhkFWW4JqPi-S5XyOU10RgiL8Z0c6d7_Q74vKAprC0OYtw-bfwT3F_TJfjncjKIL1/s320/determinante.bmp" alt="" id="BLOGGER_PHOTO_ID_5445962794969093186" border="0" /></a><br />•Ejemplo:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMX8kPh3ghBMuLma7yafKIc2AqxnlGEHshV5byKrlU4BUwg2PjSMDtkVVe7YQCbjWoA9bO6Vq4HRsLcuLvlzFYx0HM7CEB_OOa5WxFTvxBai3MGIxtnFyxO8Q4E5m04MHzDQFDaN-EUO4S/s1600-h/ejemplo+cuadraticas+2.bmp"><img style="cursor: pointer; width: 338px; height: 295px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMX8kPh3ghBMuLma7yafKIc2AqxnlGEHshV5byKrlU4BUwg2PjSMDtkVVe7YQCbjWoA9bO6Vq4HRsLcuLvlzFYx0HM7CEB_OOa5WxFTvxBai3MGIxtnFyxO8Q4E5m04MHzDQFDaN-EUO4S/s400/ejemplo+cuadraticas+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5445983215926567890" border="0" /></a><br />♦Cada termino se hace de manera individual:<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN7YWiWddv2qZ5M6H5K05A9cWT9F-maP2JX3SE7XfaRCNi9mpSA_WyQ1glFBKFiv3ZHRB05sK8V9DCM8MsyqAbxj3MgB0Xlfh3pCS8DTw2P8JEJKTPpVfwrtO_VtOVkJgO4rUAVLJ7I5zU/s1600-h/ejemplo+cuadraticas+1.bmp"><img style="cursor: pointer; width: 476px; height: 197px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN7YWiWddv2qZ5M6H5K05A9cWT9F-maP2JX3SE7XfaRCNi9mpSA_WyQ1glFBKFiv3ZHRB05sK8V9DCM8MsyqAbxj3MgB0Xlfh3pCS8DTw2P8JEJKTPpVfwrtO_VtOVkJgO4rUAVLJ7I5zU/s400/ejemplo+cuadraticas+1.bmp" alt="" id="BLOGGER_PHOTO_ID_5445982415838741490" border="0" /></a><br />♦Comprovar<br />♦Graficar<br />♦Intervalo<br />•Ejemplo:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhS41DGSG9ylko1iEeedt6dJTNKQ2NHkt3Zpw-JoAB4wWu6RuST5Wjy56YPYvQux4diTbfVzWQNv4oT0ot0lFj4ztgpoFvkDaOLo8qV2n1TB8YHwZXkFND2tegSY3-hJqMIbURrfI1atVqt/s1600-h/ejemplo+cuadraticas+3.bmp"><img style="cursor: pointer; width: 400px; height: 284px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhS41DGSG9ylko1iEeedt6dJTNKQ2NHkt3Zpw-JoAB4wWu6RuST5Wjy56YPYvQux4diTbfVzWQNv4oT0ot0lFj4ztgpoFvkDaOLo8qV2n1TB8YHwZXkFND2tegSY3-hJqMIbURrfI1atVqt/s400/ejemplo+cuadraticas+3.bmp" alt="" id="BLOGGER_PHOTO_ID_5445984217706878386" border="0" /></a><br /><span style="font-weight: bold;">Valor absoluto</span>:<br />Es la distancia que hay entre el cero y cualquier otro punto de la recta, y de cualquier punto hasta el cero<br />•Una distacia es todo numero elevado al cuadrado, ejemplo: la distancia entre 0 y -3 es 3<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqBOb16XLQ8V-yZVGQRwSH38rcx1xRSAsJZSuhPbI4mERtuutJUYHontfBivePc7NOy79iWWqPoYwNCWpaAd9c8S92TIHm0zjAT3TO9q5ozc4f9EWEAuHGeD_DCE04dkKWOmXGq_NW2kvN/s1600-h/valor+absoluto+de+3.bmp"><img style="cursor: pointer; width: 65px; height: 67px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqBOb16XLQ8V-yZVGQRwSH38rcx1xRSAsJZSuhPbI4mERtuutJUYHontfBivePc7NOy79iWWqPoYwNCWpaAd9c8S92TIHm0zjAT3TO9q5ozc4f9EWEAuHGeD_DCE04dkKWOmXGq_NW2kvN/s400/valor+absoluto+de+3.bmp" alt="" id="BLOGGER_PHOTO_ID_5446080642144579954" border="0" /></a><br />•Todo numero elevado al cuadrado que sea negativo de positivo<br />•El inverso de la potencia es la raiz<br /><span style="font-weight: bold;">Propiedades del valor absoluto</span>:<br />Sea <span style="font-weight: bold;">a</span> un nomero cualquiera y <span style="font-weight: bold;">b</span> un numero cualquiera:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX7Xgcj-M48bPkKELw4_CmRXgDq0sHBQLHPqPwJ0zBuH7rzF5YZlcCP55DYBuaCqzn2JIMbTZCewMLcGBpUe_K9xuWH3PLWk37BTCUNFS4VOn9l9KCRffuX-tITB33GRRLqpAjtg5e6VwO/s1600-h/grafica+valor+absoluto.bmp"><img style="cursor: pointer; width: 376px; height: 51px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX7Xgcj-M48bPkKELw4_CmRXgDq0sHBQLHPqPwJ0zBuH7rzF5YZlcCP55DYBuaCqzn2JIMbTZCewMLcGBpUe_K9xuWH3PLWk37BTCUNFS4VOn9l9KCRffuX-tITB33GRRLqpAjtg5e6VwO/s400/grafica+valor+absoluto.bmp" alt="" id="BLOGGER_PHOTO_ID_5446083439463296098" border="0" /></a><br /><br /><span style="font-weight: bold;">1</span>. Si <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbts2oYb6Ryz7S3gZ4rWW1QGqR3Gwo5q2nrWOraeJVeH2yEmvS23kWAVMI6hQ-O3KjK1E_loxDo6eVTT_7CkLaO68HlfGEBb-7ijxLkri6E3xVEYbhZ2kTdb_fi2pe1mR3fikCunHOu4wb/s1600-h/valor+absoluto+de+menor.bmp"><img style="cursor: pointer; width: 53px; height: 21px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbts2oYb6Ryz7S3gZ4rWW1QGqR3Gwo5q2nrWOraeJVeH2yEmvS23kWAVMI6hQ-O3KjK1E_loxDo6eVTT_7CkLaO68HlfGEBb-7ijxLkri6E3xVEYbhZ2kTdb_fi2pe1mR3fikCunHOu4wb/s400/valor+absoluto+de+menor.bmp" alt="" id="BLOGGER_PHOTO_ID_5446086012280884834" border="0" /></a> se cumple que <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHbUTuAtJP7Fiaj96Rxbx5wNjoQYFs3caf4w1XC-KRTBNOCMWNM1V_kglT2qo1dY-U1SyS-5uDrZkKyl-Y1tcDCU_qSEj-TUWLjFbLP5VLaxdMnbWe_coY_rr3BO54TrblysuFTlAVQTWf/s1600-h/valor+absoluto+de+menor+2.bmp"><img style="cursor: pointer; width: 84px; height: 21px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHbUTuAtJP7Fiaj96Rxbx5wNjoQYFs3caf4w1XC-KRTBNOCMWNM1V_kglT2qo1dY-U1SyS-5uDrZkKyl-Y1tcDCU_qSEj-TUWLjFbLP5VLaxdMnbWe_coY_rr3BO54TrblysuFTlAVQTWf/s400/valor+absoluto+de+menor+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446086302182855186" border="0" /></a><br />Ejemplo:<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsFbLvJwIzzkwzZ73SHUQTe8hMiJr0-_vvmKBf8sTJDRggSz7lD4surwW-8y55_bkMmh4kUZONVZVF3x9PJNUzTSVbZ1YcVJ-XK00oojrVMzzx1AFpo-sUibKChHQ686w1EpeQbuoQjKHB/s1600-h/ejemplo+menor+1.bmp"><img style="cursor: pointer; width: 79px; height: 18px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsFbLvJwIzzkwzZ73SHUQTe8hMiJr0-_vvmKBf8sTJDRggSz7lD4surwW-8y55_bkMmh4kUZONVZVF3x9PJNUzTSVbZ1YcVJ-XK00oojrVMzzx1AFpo-sUibKChHQ686w1EpeQbuoQjKHB/s400/ejemplo+menor+1.bmp" alt="" id="BLOGGER_PHOTO_ID_5446094294107831810" border="0" /></a><span style="text-decoration: underline;"></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjs58GiCcjfQg9ThlMCohg6SmcUjfD1XPCGdX2vd4SiMJ33SD2wx18f5qOS3RkhdvcMi4BIsAO1yBto25jQpN7kSpf7VHBpsg1RjLv62KGHElj-xJI0K4sZ6U5RNS-4d-hXEclIqxcUw89T/s1600-h/ejemplo+menor+2.bmp"> </a><br /> <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjs58GiCcjfQg9ThlMCohg6SmcUjfD1XPCGdX2vd4SiMJ33SD2wx18f5qOS3RkhdvcMi4BIsAO1yBto25jQpN7kSpf7VHBpsg1RjLv62KGHElj-xJI0K4sZ6U5RNS-4d-hXEclIqxcUw89T/s1600-h/ejemplo+menor+2.bmp"><img style="cursor: pointer; width: 107px; height: 15px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjs58GiCcjfQg9ThlMCohg6SmcUjfD1XPCGdX2vd4SiMJ33SD2wx18f5qOS3RkhdvcMi4BIsAO1yBto25jQpN7kSpf7VHBpsg1RjLv62KGHElj-xJI0K4sZ6U5RNS-4d-hXEclIqxcUw89T/s400/ejemplo+menor+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446094397260340722" border="0" /></a><br /><br /><span style="font-weight: bold;">2.</span> Si <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcFc8Ri4TFHY5oj0cGT4tnIy1-qhXvToLGGqhngNwvoNzZa1VCr33jGvKfhwmf44_SaV21JDjzOLdhH596_8d5aaxx_201DYpejHAN3CAsmW1zWGO8Xt4BzJFbsnpPqFxMZFRXIHQ5Ur6y/s1600-h/valor+absoluto+de+menor+o+igual.bmp"><img style="cursor: pointer; width: 53px; height: 22px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcFc8Ri4TFHY5oj0cGT4tnIy1-qhXvToLGGqhngNwvoNzZa1VCr33jGvKfhwmf44_SaV21JDjzOLdhH596_8d5aaxx_201DYpejHAN3CAsmW1zWGO8Xt4BzJFbsnpPqFxMZFRXIHQ5Ur6y/s400/valor+absoluto+de+menor+o+igual.bmp" alt="" id="BLOGGER_PHOTO_ID_5446087238627223506" border="0" /></a> se cumple que<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjy8Y4ioDjuZ0LWQFs8AjI6Gd1Tmh3GWCdot8QenpyC-YtEbrjYFzVIdynKQK9zwhwUjdgChQlL_RvC2N5bLpRGZMVqSZLTg8EE-yWuaC2_SV5bcUW5ZPeVXLmNLG2XzJUbZ5YZZ-9o94l7/s1600-h/valor+absoluto+de+menor+o+igual+2.bmp"><img style="cursor: pointer; width: 100px; height: 22px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjy8Y4ioDjuZ0LWQFs8AjI6Gd1Tmh3GWCdot8QenpyC-YtEbrjYFzVIdynKQK9zwhwUjdgChQlL_RvC2N5bLpRGZMVqSZLTg8EE-yWuaC2_SV5bcUW5ZPeVXLmNLG2XzJUbZ5YZZ-9o94l7/s400/valor+absoluto+de+menor+o+igual+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446087382359580082" border="0" /></a><br />Ejemplo:<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwZCBnXCAUIUDKzvKOuUSAelJ_r1DmXMN8apJO2JIdo-QImap9Anq0b5LwHxEyL9edISUTEbSsdwNSTbdekaIXfJ4z3C9KtFXykArhB9XRTWYPTM3POhELerxcHMVSZHQs2MNs73-c7OTA/s1600-h/ejemplo+menor+o+igual+1.bmp"><img style="cursor: pointer; width: 108px; height: 21px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwZCBnXCAUIUDKzvKOuUSAelJ_r1DmXMN8apJO2JIdo-QImap9Anq0b5LwHxEyL9edISUTEbSsdwNSTbdekaIXfJ4z3C9KtFXykArhB9XRTWYPTM3POhELerxcHMVSZHQs2MNs73-c7OTA/s400/ejemplo+menor+o+igual+1.bmp" alt="" id="BLOGGER_PHOTO_ID_5446094927423013090" border="0" /></a><br /> <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBcTYhyphenhyphenjkcf3L_9TQ8JLeUPIn63g4ljlX1H-TTQwpYzqVcuSN7-xnrEhOw4cXpt1G_wcDbe75qTBsvEZ41S1gR8-0SvTz_DyfWjS8LO9Gc2vjovVIDzaacJgQl1lldfmYWDY6tFeYWdLqR/s1600-h/ejemplo+menor+o+igual+2.bmp"><img style="cursor: pointer; width: 123px; height: 20px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBcTYhyphenhyphenjkcf3L_9TQ8JLeUPIn63g4ljlX1H-TTQwpYzqVcuSN7-xnrEhOw4cXpt1G_wcDbe75qTBsvEZ41S1gR8-0SvTz_DyfWjS8LO9Gc2vjovVIDzaacJgQl1lldfmYWDY6tFeYWdLqR/s400/ejemplo+menor+o+igual+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446095130000703330" border="0" /></a><br /><br /> <span style="font-weight: bold;">3.</span> Si<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0gxDfsTi0NLRZ2T3IwzlPnDVoS8L-w191oByhScDwxHghifmIMRg5AtGXBxiKDXFZY1HkVocl8KWutkYEek1Sri0uNZbPdLikEAs5WakG2ZDETNydVXDkwhUpE6ju2i5XWyS4SHTeB9r5/s1600-h/valor+absoluto+de+mayor.bmp"><img style="cursor: pointer; width: 56px; height: 17px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0gxDfsTi0NLRZ2T3IwzlPnDVoS8L-w191oByhScDwxHghifmIMRg5AtGXBxiKDXFZY1HkVocl8KWutkYEek1Sri0uNZbPdLikEAs5WakG2ZDETNydVXDkwhUpE6ju2i5XWyS4SHTeB9r5/s400/valor+absoluto+de+mayor.bmp" alt="" id="BLOGGER_PHOTO_ID_5446088065810584194" border="0" /></a>se cumple que <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEic2hPsCrLZkgN1SvMJ0nvlh-pk4tTcLLJPWPbo5gVzVEcXq1AmnBaDS7RyhMbuIplS-fN1YxAE8791aovXuMmwyj-EbxTbJqiGShxOT4eLPuEIShjlwMZ4NTGc1-8BUQBmnTIyoD3um6v3/s1600-h/valor+absoluto+de+mayor+2.bmp"><img style="cursor: pointer; width: 86px; height: 15px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEic2hPsCrLZkgN1SvMJ0nvlh-pk4tTcLLJPWPbo5gVzVEcXq1AmnBaDS7RyhMbuIplS-fN1YxAE8791aovXuMmwyj-EbxTbJqiGShxOT4eLPuEIShjlwMZ4NTGc1-8BUQBmnTIyoD3um6v3/s400/valor+absoluto+de+mayor+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446088314125682050" border="0" /></a><br />Ejemplo:<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGnPEP5DxpQLiLxUowNmXoWbystBt14KyQVnkh4tJiHSUSElIbMwXYjliPHS71kkgWGr-zhhOeqtgtBPpFl77VR1qDqBn5jYyX6GqHoWPEgMnEBmhvVnYCUh8EmbhYaMb2H5NvJLJL6caj/s1600-h/ejemplo+mayor1.bmp"><img style="cursor: pointer; width: 82px; height: 23px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGnPEP5DxpQLiLxUowNmXoWbystBt14KyQVnkh4tJiHSUSElIbMwXYjliPHS71kkgWGr-zhhOeqtgtBPpFl77VR1qDqBn5jYyX6GqHoWPEgMnEBmhvVnYCUh8EmbhYaMb2H5NvJLJL6caj/s400/ejemplo+mayor1.bmp" alt="" id="BLOGGER_PHOTO_ID_5446095326810270258" border="0" /></a><br /> <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZiMRQGC2WTwecycmwJHKOPYZDhlvbjPCijdkdm_fN5sA72J3hse_5_C4M7vttali2W7ctZdeaQGnT4sWmJVOpkeKmtQPWc_kf58y9wfGCWK9rWzD1Fw2KwHxbVyw6LaHKOUXTV-Eh8Ocu/s1600-h/ejemplo+mayor2.bmp"><img style="cursor: pointer; width: 113px; height: 17px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZiMRQGC2WTwecycmwJHKOPYZDhlvbjPCijdkdm_fN5sA72J3hse_5_C4M7vttali2W7ctZdeaQGnT4sWmJVOpkeKmtQPWc_kf58y9wfGCWK9rWzD1Fw2KwHxbVyw6LaHKOUXTV-Eh8Ocu/s400/ejemplo+mayor2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446095458160439778" border="0" /></a><br /><br /><span style="font-weight: bold;">4. </span>Si <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFOJKa492gZJK-TzXxAhRN7jW8F0yn1ExhvvjHLe91UwJwSX372Ns_qT5M_Sx8Q1cYU-WTB1ErXHDmwu8-qdtNI9swO9WHijQ9yeE_3xvEl5A4hsviXh-yOZVuHyiH79piBuaDXEaiw12t/s1600-h/valor+absoluto+de+mayor+o+igual.bmp"><img style="cursor: pointer; width: 50px; height: 15px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFOJKa492gZJK-TzXxAhRN7jW8F0yn1ExhvvjHLe91UwJwSX372Ns_qT5M_Sx8Q1cYU-WTB1ErXHDmwu8-qdtNI9swO9WHijQ9yeE_3xvEl5A4hsviXh-yOZVuHyiH79piBuaDXEaiw12t/s400/valor+absoluto+de+mayor+o+igual.bmp" alt="" id="BLOGGER_PHOTO_ID_5446088820163188994" border="0" /></a> se cumple que <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVdlzhGTQaukiJOLsFZ0L5EpYU7ss8h3MW8QRxvSUgY0tXWw70EKtGCSY2X1MG7Xp_HbVqmMnLGdR1AxyLIv_uuwoCHFg7zKpydw2z_R9_L2RlINiTd4V80oi8fHssTr5VFfnPdMPy7_fR/s1600-h/valor+absoluto+de+mayor+o+igual+2.bmp"><img style="cursor: pointer; width: 80px; height: 16px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVdlzhGTQaukiJOLsFZ0L5EpYU7ss8h3MW8QRxvSUgY0tXWw70EKtGCSY2X1MG7Xp_HbVqmMnLGdR1AxyLIv_uuwoCHFg7zKpydw2z_R9_L2RlINiTd4V80oi8fHssTr5VFfnPdMPy7_fR/s400/valor+absoluto+de+mayor+o+igual+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446089045808804914" border="0" /></a><br />Ejemplo:<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmdlEQkadYWvytqUN5GQIiKyzX6L0gXuDlqHRRU6sugklIkVWwQ4FE7NdJpyYb4ESCFz5lxbmOHvSjE58jxwWXvKtkVWDbat0mRoHE-N2ZvhC7taJjmKd7BecTYvxkRPn39CZjalo1bw2-/s1600-h/ejemplo+mayor+o+igual+1.bmp"><img style="cursor: pointer; width: 77px; height: 17px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmdlEQkadYWvytqUN5GQIiKyzX6L0gXuDlqHRRU6sugklIkVWwQ4FE7NdJpyYb4ESCFz5lxbmOHvSjE58jxwWXvKtkVWDbat0mRoHE-N2ZvhC7taJjmKd7BecTYvxkRPn39CZjalo1bw2-/s400/ejemplo+mayor+o+igual+1.bmp" alt="" id="BLOGGER_PHOTO_ID_5446095720817847282" border="0" /></a><br /> <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSDGHjNJsK0ucqlW7PqL27Skb1B7IHIu5IjRf9ldJ-6vmY6Czt-TEMYGxI_4ltzZ0_twMbonR8y6r4U2W_ryEB1oSx-BBWGw2PB90zNYEquV9HqAeKPvgYVAVSGR4rhfOcwQDcd2tkxfsR/s1600-h/ejemplo+mayor+o+igual+2.bmp"><img style="cursor: pointer; width: 105px; height: 15px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSDGHjNJsK0ucqlW7PqL27Skb1B7IHIu5IjRf9ldJ-6vmY6Czt-TEMYGxI_4ltzZ0_twMbonR8y6r4U2W_ryEB1oSx-BBWGw2PB90zNYEquV9HqAeKPvgYVAVSGR4rhfOcwQDcd2tkxfsR/s400/ejemplo+mayor+o+igual+2.bmp" alt="" id="BLOGGER_PHOTO_ID_5446095802249062674" border="0" /></a>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-18252740314650175722010-01-25T18:46:00.000-08:002010-03-07T08:40:35.217-08:00Divisibilidad de los numeros hasta el 10<table class="wikitable"><tbody><tr><th style="color: rgb(0, 0, 0);">Número</th> <th style="color: rgb(0, 0, 0);">Criterio</th> <th style="color: rgb(0, 0, 0);">Ejemplo</th> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Dos" title="Dos">2</a></b></td> <td style="color: rgb(0, 0, 0);">El número termina en cero o cifra par.</td> <td style="color: rgb(0, 0, 0);">378: porque "8" es par.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Tres" title="Tres">3</a></b></td> <td style="color: rgb(0, 0, 0);">La suma de sus cifras es un múltiplo de 3.</td> <td style="color: rgb(0, 0, 0);">480: porque 4+ 8+ 0 = 12 es múltiplo de 3.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Cuatro" title="Cuatro">4</a></b></td> <td style="color: rgb(0, 0, 0);">El número formado por las dos últimas cifras es 00 ó múltiplo de 4.</td> <td style="color: rgb(0, 0, 0);">7324: porque 24 es múltiplo de 4.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Cinco" title="Cinco">5</a></b></td> <td style="color: rgb(0, 0, 0);">La última cifra es 0 ó 5.</td> <td style="color: rgb(0, 0, 0);">485: porque acaba en 5.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Seis" title="Seis">6</a></b></td> <td style="color: rgb(0, 0, 0);">El número es divisible por 2 y por 3.</td> <td style="color: rgb(0, 0, 0);">24: Ver criterios anteriores.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);" rowspan="2"><b><a href="http://es.wikipedia.org/wiki/Siete" title="Siete">7</a></b></td> <td style="color: rgb(0, 0, 0);">Para números de 3 cifras: Al número formado por las dos primeras cifras se le resta la última multiplicada por 2. Si el resultado es múltiplo de 7, el número original también lo es.</td> <td style="color: rgb(0, 0, 0);">469: porque 46-(9*2)= 28 que es múltiplo de 7.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);">Para números de más de 3 cifras: Dividir en grupos de 3 cifras y aplicar el criterio de arriba a cada grupo. Sumar y restar alternativamente el resultado obtenido en cada grupo y comprobar si el resultado final es un múltiplo de 7.</td> <td style="color: rgb(0, 0, 0);">52176376: porque (37-12) - (17-12) + (5-4)= 25-5+1= 21 es múltiplo de 7.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Ocho" title="Ocho">8</a></b></td> <td style="color: rgb(0, 0, 0);">El número formado por las tres últimas cifras es 000 ó múltiplo de 8.</td> <td style="color: rgb(0, 0, 0);">27280: porque 280 es múltiplo de 8.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Nueve" title="Nueve">9</a></b></td> <td style="color: rgb(0, 0, 0);">La suma de sus cifras es múltiplo de 9.</td> <td style="color: rgb(0, 0, 0);">3744: porque 3+7+4+4= 18 es múltiplo de 9.</td> </tr> <tr> <td style="color: rgb(0, 0, 0);"><b><a href="http://es.wikipedia.org/wiki/Diez" title="Diez">10</a></b></td> <td style="color: rgb(0, 0, 0);">La última cifra es 0.</td> <td style="color: rgb(0, 0, 0);">470: La última cifra es 0.</td></tr></tbody></table>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-54937156176553274822010-01-25T17:41:00.000-08:002010-03-07T08:39:59.696-08:00Vocabulario<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik4it9kTMax7x1SCvOwY4Qq_N93n96G05sJU_zFJaRynvnAynbpYlG5hL12SBopr8pMQalo7fL1jDTHaW9JTqZTmjz8gwi_yarRczAP5mE1ytk6oJ2qcYxjs0ItzZt2_OFK0Bd0qHQEXMU/s1600-h/pensar2.bmp"><img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 316px; height: 211px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik4it9kTMax7x1SCvOwY4Qq_N93n96G05sJU_zFJaRynvnAynbpYlG5hL12SBopr8pMQalo7fL1jDTHaW9JTqZTmjz8gwi_yarRczAP5mE1ytk6oJ2qcYxjs0ItzZt2_OFK0Bd0qHQEXMU/s320/pensar2.bmp" alt="" id="BLOGGER_PHOTO_ID_5430868388980507538" border="0" /></a> <meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><!--[if gte mso 9]><xml> <o:officedocumentsettings> <o:relyonvml/> <o:allowpng/> </o:OfficeDocumentSettings> </xml><![endif]--><link rel="themeData" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx"><link rel="colorSchemeMapping" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml"><!--[if gte mso 9]><xml> <w:worddocument> <w:view>Normal</w:View> <w:zoom>0</w:Zoom> <w:trackmoves/> <w:trackformatting/> <w:hyphenationzone>21</w:HyphenationZone> <w:punctuationkerning/> <w:validateagainstschemas/> <w:saveifxmlinvalid>false</w:SaveIfXMLInvalid> <w:ignoremixedcontent>false</w:IgnoreMixedContent> <w:alwaysshowplaceholdertext>false</w:AlwaysShowPlaceholderText> <w:donotpromoteqf/> <w:lidthemeother>ES-CO</w:LidThemeOther> <w:lidthemeasian>X-NONE</w:LidThemeAsian> <w:lidthemecomplexscript>X-NONE</w:LidThemeComplexScript> <w:compatibility> <w:breakwrappedtables/> <w:snaptogridincell/> <w:wraptextwithpunct/> <w:useasianbreakrules/> <w:dontgrowautofit/> <w:splitpgbreakandparamark/> <w:dontvertaligncellwithsp/> <w:dontbreakconstrainedforcedtables/> <w:dontvertalignintxbx/> <w:word11kerningpairs/> <w:cachedcolbalance/> </w:Compatibility> <m:mathpr> <m:mathfont val="Cambria Math"> <m:brkbin val="before"> <m:brkbinsub val="--"> <m:smallfrac val="off"> <m:dispdef/> <m:lmargin val="0"> <m:rmargin val="0"> <m:defjc val="centerGroup"> <m:wrapindent val="1440"> <m:intlim val="subSup"> <m:narylim val="undOvr"> </m:mathPr></w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:latentstyles deflockedstate="false" defunhidewhenused="true" defsemihidden="true" defqformat="false" defpriority="99" latentstylecount="267"> <w:lsdexception locked="false" priority="0" semihidden="false" unhidewhenused="false" qformat="true" name="Normal"> <w:lsdexception locked="false" priority="9" semihidden="false" unhidewhenused="false" qformat="true" name="heading 1"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 2"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 3"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 4"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 5"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 6"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 7"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 8"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 9"> <w:lsdexception locked="false" priority="39" name="toc 1"> <w:lsdexception locked="false" priority="39" name="toc 2"> <w:lsdexception locked="false" priority="39" name="toc 3"> <w:lsdexception locked="false" priority="39" name="toc 4"> <w:lsdexception locked="false" priority="39" name="toc 5"> <w:lsdexception locked="false" priority="39" name="toc 6"> <w:lsdexception locked="false" priority="39" name="toc 7"> <w:lsdexception locked="false" priority="39" name="toc 8"> <w:lsdexception locked="false" priority="39" name="toc 9"> <w:lsdexception locked="false" priority="35" qformat="true" name="caption"> <w:lsdexception locked="false" priority="10" semihidden="false" unhidewhenused="false" qformat="true" name="Title"> <w:lsdexception locked="false" priority="1" name="Default Paragraph Font"> <w:lsdexception locked="false" priority="11" semihidden="false" unhidewhenused="false" qformat="true" name="Subtitle"> <w:lsdexception locked="false" priority="22" semihidden="false" unhidewhenused="false" qformat="true" name="Strong"> <w:lsdexception locked="false" priority="20" semihidden="false" unhidewhenused="false" qformat="true" name="Emphasis"> <w:lsdexception locked="false" priority="59" semihidden="false" unhidewhenused="false" name="Table Grid"> <w:lsdexception locked="false" unhidewhenused="false" name="Placeholder Text"> <w:lsdexception locked="false" priority="1" semihidden="false" unhidewhenused="false" qformat="true" name="No Spacing"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 1"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 1"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 1"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 1"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 1"> <w:lsdexception locked="false" unhidewhenused="false" name="Revision"> <w:lsdexception locked="false" priority="34" semihidden="false" unhidewhenused="false" qformat="true" name="List Paragraph"> <w:lsdexception locked="false" priority="29" semihidden="false" unhidewhenused="false" qformat="true" name="Quote"> <w:lsdexception locked="false" priority="30" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Quote"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 1"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 1"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 1"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 1"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 1"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 1"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 1"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 2"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 2"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 2"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 2"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 2"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 2"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 2"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 2"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 2"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 2"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 2"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 3"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 3"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 3"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 3"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 3"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 3"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 3"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 3"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 3"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 3"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 3"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 3"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 3"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 4"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 4"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 4"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 4"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 4"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 4"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 4"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 4"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 4"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 4"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 4"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 4"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 4"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 4"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 5"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 5"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 5"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 5"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 5"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 5"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 5"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 5"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 5"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 5"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 5"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 5"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 5"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 5"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 6"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 6"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 6"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 6"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 6"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 6"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 6"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 6"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 6"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 6"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 6"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 6"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 6"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 6"> <w:lsdexception locked="false" priority="19" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Emphasis"> <w:lsdexception locked="false" priority="21" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Emphasis"> <w:lsdexception locked="false" priority="31" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Reference"> <w:lsdexception locked="false" priority="32" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Reference"> <w:lsdexception locked="false" priority="33" semihidden="false" unhidewhenused="false" qformat="true" name="Book Title"> <w:lsdexception locked="false" priority="37" name="Bibliography"> <w:lsdexception locked="false" priority="39" qformat="true" name="TOC Heading"> </w:LatentStyles> </xml><![endif]--><style> <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:1; mso-generic-font-family:roman; mso-font-format:other; mso-font-pitch:variable; mso-font-signature:0 0 0 0 0 0;} @font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:-1610611985 1073750139 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin-top:0cm; margin-right:0cm; margin-bottom:10.0pt; margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Arial","sans-serif"; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-fareast-language:EN-US;} h3 {mso-style-priority:9; mso-style-qformat:yes; mso-style-link:"Título 3 Car"; mso-style-next:Normal; margin-top:10.0pt; margin-right:0cm; margin-bottom:0cm; margin-left:0cm; margin-bottom:.0001pt; line-height:115%; mso-pagination:widow-orphan lines-together; page-break-after:avoid; mso-outline-level:3; font-size:12.0pt; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#4F81BD; mso-themecolor:accent1; mso-fareast-language:EN-US;} span.Ttulo3Car {mso-style-name:"Título 3 Car"; mso-style-priority:9; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Título 3"; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#4F81BD; mso-themecolor:accent1; font-weight:bold;} span.i {mso-style-name:i; mso-style-unhide:no;} span.ac {mso-style-name:ac; mso-style-unhide:no;} span.b {mso-style-name:b; mso-style-unhide:no;} .MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:12.0pt; mso-ansi-font-size:12.0pt; mso-bidi-font-size:12.0pt; mso-ascii-font-family:Arial; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Arial; mso-bidi-font-family:Arial; mso-fareast-language:EN-US;} .MsoPapDefault {mso-style-type:export-only; margin-bottom:10.0pt; line-height:115%;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:571816244; mso-list-template-ids:-389020460;} @list l1 {mso-list-id:607860509; mso-list-template-ids:832200152;} @list l2 {mso-list-id:626669597; mso-list-template-ids:-635398040;} @list l3 {mso-list-id:765151497; mso-list-template-ids:1084655900;} @list l4 {mso-list-id:1910378510; mso-list-template-ids:1129985032;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> </style><!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Arial","sans-serif"; mso-fareast-language:EN-US;} </style> <![endif]--> <h3 style="color: rgb(0, 0, 0);font-family:georgia;"><span style="font-weight: bold;">¿Que es análisis? </span><o:p></o:p></h3> <ol style="color: rgb(0, 0, 0);font-family:georgia;" start="1" type="1"><li class="MsoNormal" style="line-height: normal;">m. Distinción y separación de las partes de un todo hasta llegar a conocer sus principios, elementos, etc.:
<br /><span class="i">el análisis es la segunda regla del método cartesiano.</span> <o:p></o:p></li><li class="MsoNormal" style="line-height: normal;">Estudio minucioso de una obra, de un escrito o de cualquier otro objeto de estudio intelectual:
<br /><span class="i">análisis de un poema.</span> <o:p></o:p></li><li class="MsoNormal" style="line-height: normal;"><span class="ac">gram.</span> Examen de los componentes del discurso y de sus respectivas propiedades y funciones:
<br /><span class="i">análisis gramatical, sintáctico.</span> <o:p></o:p></li><li class="MsoNormal" style="line-height: normal;"><span class="ac">med.</span> Examen cualitativo y cuantitativo de ciertos componentes o sustancias del organismo según métodos especializados, con un fin diagnóstico:
<br /><span class="i">análisis clínico.</span> <o:p></o:p></li><li class="MsoNormal" style="line-height: normal;"><span class="ac">inform.</span> Estudio, mediante técnicas informáticas, de los límites, características y posibles soluciones de un problema al que se aplica un tratamiento por ordenador:
<br /><span class="i">análisis informático.</span><o:p></o:p></li></ol> <h3 style="font-family: georgia; color: rgb(0, 0, 0);"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-M-BmeCBJbg7722j-7YPqYr5P_qvMQ6bCCcVf0K6BApJDZgTkm55lmzijB8vdwLR8r0e9EjH87MavakpnjFDa07WXy0EVM8Y76tkDnUI7FFVWrfGSdW6gHQE1LndNdcmPcNS73hHiGg45/s1600-h/pensar.bmp"><img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 238px; height: 424px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-M-BmeCBJbg7722j-7YPqYr5P_qvMQ6bCCcVf0K6BApJDZgTkm55lmzijB8vdwLR8r0e9EjH87MavakpnjFDa07WXy0EVM8Y76tkDnUI7FFVWrfGSdW6gHQE1LndNdcmPcNS73hHiGg45/s320/pensar.bmp" alt="" id="BLOGGER_PHOTO_ID_5430860052838584194" border="0" /></a> <meta equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><!--[if gte mso 9]><xml> <o:officedocumentsettings> <o:relyonvml/> <o:allowpng/> </o:OfficeDocumentSettings> </xml><![endif]--><link rel="themeData" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx"><link rel="colorSchemeMapping" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml"><!--[if gte mso 9]><xml> <w:worddocument> <w:view>Normal</w:View> <w:zoom>0</w:Zoom> <w:trackmoves/> <w:trackformatting/> <w:hyphenationzone>21</w:HyphenationZone> <w:punctuationkerning/> <w:validateagainstschemas/> <w:saveifxmlinvalid>false</w:SaveIfXMLInvalid> <w:ignoremixedcontent>false</w:IgnoreMixedContent> <w:alwaysshowplaceholdertext>false</w:AlwaysShowPlaceholderText> <w:donotpromoteqf/> <w:lidthemeother>ES-CO</w:LidThemeOther> <w:lidthemeasian>X-NONE</w:LidThemeAsian> <w:lidthemecomplexscript>X-NONE</w:LidThemeComplexScript> <w:compatibility> <w:breakwrappedtables/> <w:snaptogridincell/> <w:wraptextwithpunct/> <w:useasianbreakrules/> <w:dontgrowautofit/> <w:splitpgbreakandparamark/> <w:dontvertaligncellwithsp/> <w:dontbreakconstrainedforcedtables/> <w:dontvertalignintxbx/> <w:word11kerningpairs/> <w:cachedcolbalance/> </w:Compatibility> <m:mathpr> <m:mathfont val="Cambria Math"> <m:brkbin val="before"> <m:brkbinsub val="--"> <m:smallfrac val="off"> <m:dispdef/> <m:lmargin val="0"> <m:rmargin val="0"> <m:defjc val="centerGroup"> <m:wrapindent val="1440"> <m:intlim val="subSup"> <m:narylim val="undOvr"> </m:mathPr></w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:latentstyles deflockedstate="false" defunhidewhenused="true" defsemihidden="true" defqformat="false" defpriority="99" latentstylecount="267"> <w:lsdexception locked="false" priority="0" semihidden="false" unhidewhenused="false" qformat="true" name="Normal"> <w:lsdexception locked="false" priority="9" semihidden="false" unhidewhenused="false" qformat="true" name="heading 1"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 2"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 3"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 4"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 5"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 6"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 7"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 8"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 9"> <w:lsdexception locked="false" priority="39" name="toc 1"> <w:lsdexception locked="false" priority="39" name="toc 2"> <w:lsdexception locked="false" priority="39" name="toc 3"> <w:lsdexception locked="false" priority="39" name="toc 4"> <w:lsdexception locked="false" priority="39" name="toc 5"> <w:lsdexception locked="false" priority="39" name="toc 6"> <w:lsdexception locked="false" priority="39" name="toc 7"> <w:lsdexception locked="false" priority="39" name="toc 8"> <w:lsdexception locked="false" priority="39" name="toc 9"> <w:lsdexception locked="false" priority="35" qformat="true" name="caption"> <w:lsdexception locked="false" priority="10" semihidden="false" unhidewhenused="false" qformat="true" name="Title"> <w:lsdexception locked="false" priority="1" name="Default Paragraph Font"> <w:lsdexception locked="false" priority="11" semihidden="false" unhidewhenused="false" qformat="true" name="Subtitle"> <w:lsdexception locked="false" priority="22" semihidden="false" unhidewhenused="false" qformat="true" name="Strong"> <w:lsdexception locked="false" priority="20" semihidden="false" unhidewhenused="false" qformat="true" name="Emphasis"> <w:lsdexception locked="false" priority="59" semihidden="false" unhidewhenused="false" name="Table Grid"> <w:lsdexception locked="false" unhidewhenused="false" name="Placeholder Text"> <w:lsdexception locked="false" priority="1" semihidden="false" unhidewhenused="false" qformat="true" name="No Spacing"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 1"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 1"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 1"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 1"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 1"> <w:lsdexception locked="false" unhidewhenused="false" name="Revision"> <w:lsdexception locked="false" priority="34" semihidden="false" unhidewhenused="false" qformat="true" name="List Paragraph"> <w:lsdexception locked="false" priority="29" semihidden="false" unhidewhenused="false" qformat="true" name="Quote"> <w:lsdexception locked="false" priority="30" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Quote"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 1"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 1"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 1"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 1"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 1"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 1"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 1"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 2"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 2"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 2"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 2"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 2"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 2"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 2"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 2"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 2"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 2"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 2"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 3"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 3"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 3"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 3"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 3"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 3"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 3"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 3"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 3"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 3"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 3"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 3"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 3"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 4"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 4"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 4"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 4"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 4"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 4"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 4"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 4"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 4"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 4"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 4"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 4"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 4"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 4"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 5"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 5"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 5"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 5"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 5"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 5"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 5"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 5"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 5"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 5"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 5"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 5"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 5"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 5"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 6"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 6"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 6"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 6"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 6"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 6"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 6"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 6"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 6"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 6"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 6"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 6"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 6"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 6"> <w:lsdexception locked="false" priority="19" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Emphasis"> <w:lsdexception locked="false" priority="21" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Emphasis"> <w:lsdexception locked="false" priority="31" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Reference"> <w:lsdexception locked="false" priority="32" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Reference"> <w:lsdexception locked="false" priority="33" semihidden="false" unhidewhenused="false" qformat="true" name="Book Title"> <w:lsdexception locked="false" priority="37" name="Bibliography"> <w:lsdexception locked="false" priority="39" qformat="true" name="TOC Heading"> </w:LatentStyles> </xml><![endif]--><style> <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:1; mso-generic-font-family:roman; mso-font-format:other; mso-font-pitch:variable; mso-font-signature:0 0 0 0 0 0;} @font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:-1610611985 1073750139 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin-top:0cm; margin-right:0cm; margin-bottom:10.0pt; margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Arial","sans-serif"; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-fareast-language:EN-US;} h3 {mso-style-priority:9; mso-style-qformat:yes; mso-style-link:"Título 3 Car"; mso-style-next:Normal; margin-top:10.0pt; margin-right:0cm; margin-bottom:0cm; margin-left:0cm; margin-bottom:.0001pt; line-height:115%; mso-pagination:widow-orphan lines-together; page-break-after:avoid; mso-outline-level:3; font-size:12.0pt; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#4F81BD; mso-themecolor:accent1; mso-fareast-language:EN-US;} span.Ttulo3Car {mso-style-name:"Título 3 Car"; mso-style-priority:9; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Título 3"; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#4F81BD; mso-themecolor:accent1; font-weight:bold;} span.i {mso-style-name:i; mso-style-unhide:no;} span.ac {mso-style-name:ac; mso-style-unhide:no;} span.b {mso-style-name:b; mso-style-unhide:no;} .MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:12.0pt; mso-ansi-font-size:12.0pt; mso-bidi-font-size:12.0pt; mso-ascii-font-family:Arial; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Arial; mso-bidi-font-family:Arial; mso-fareast-language:EN-US;} .MsoPapDefault {mso-style-type:export-only; margin-bottom:10.0pt; line-height:115%;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:571816244; mso-list-template-ids:-389020460;} @list l1 {mso-list-id:607860509; mso-list-template-ids:832200152;} @list l2 {mso-list-id:626669597; mso-list-template-ids:-635398040;} @list l3 {mso-list-id:765151497; mso-list-template-ids:1084655900;} @list l4 {mso-list-id:1910378510; mso-list-template-ids:1129985032;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> </style><!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Arial","sans-serif"; mso-fareast-language:EN-US;} </style> <![endif]--> </h3><h3 style="color: rgb(0, 0, 0);font-family:georgia;"><span style="font-weight: bold;">¿Que es</span> sintetizar?<o:p></o:p></h3> <ol style="color: rgb(0, 0, 0);font-family:georgia;" start="1" type="1"><li class="MsoNormal" style="line-height: normal;">tr. Resumir,exponer algo limitándose a sus notas esenciales:
<br /><span class="i">sintetiza en quince líneas el contenido del libro.</span> <o:p></o:p></li></ol> <h3 style="font-family: georgia; color: rgb(0, 0, 0);"><meta equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><!--[if gte mso 9]><xml> <o:officedocumentsettings> <o:relyonvml/> <o:allowpng/> </o:OfficeDocumentSettings> </xml><![endif]--><link rel="themeData" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx"><link rel="colorSchemeMapping" href="file:///C:%5CDOCUME%7E1%5CADMINI%7E1%5CCONFIG%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml"><!--[if gte mso 9]><xml> <w:worddocument> <w:view>Normal</w:View> <w:zoom>0</w:Zoom> <w:trackmoves/> <w:trackformatting/> <w:hyphenationzone>21</w:HyphenationZone> <w:punctuationkerning/> <w:validateagainstschemas/> <w:saveifxmlinvalid>false</w:SaveIfXMLInvalid> <w:ignoremixedcontent>false</w:IgnoreMixedContent> <w:alwaysshowplaceholdertext>false</w:AlwaysShowPlaceholderText> <w:donotpromoteqf/> <w:lidthemeother>ES-CO</w:LidThemeOther> <w:lidthemeasian>X-NONE</w:LidThemeAsian> <w:lidthemecomplexscript>X-NONE</w:LidThemeComplexScript> <w:compatibility> <w:breakwrappedtables/> <w:snaptogridincell/> <w:wraptextwithpunct/> <w:useasianbreakrules/> <w:dontgrowautofit/> <w:splitpgbreakandparamark/> <w:dontvertaligncellwithsp/> <w:dontbreakconstrainedforcedtables/> <w:dontvertalignintxbx/> <w:word11kerningpairs/> <w:cachedcolbalance/> </w:Compatibility> <m:mathpr> <m:mathfont val="Cambria Math"> <m:brkbin val="before"> <m:brkbinsub val="--"> <m:smallfrac val="off"> <m:dispdef/> <m:lmargin val="0"> <m:rmargin val="0"> <m:defjc val="centerGroup"> <m:wrapindent val="1440"> <m:intlim val="subSup"> <m:narylim val="undOvr"> </m:mathPr></w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:latentstyles deflockedstate="false" defunhidewhenused="true" defsemihidden="true" defqformat="false" defpriority="99" latentstylecount="267"> <w:lsdexception locked="false" priority="0" semihidden="false" unhidewhenused="false" qformat="true" name="Normal"> <w:lsdexception locked="false" priority="9" semihidden="false" unhidewhenused="false" qformat="true" name="heading 1"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 2"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 3"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 4"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 5"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 6"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 7"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 8"> <w:lsdexception locked="false" priority="9" qformat="true" name="heading 9"> <w:lsdexception locked="false" priority="39" name="toc 1"> <w:lsdexception locked="false" priority="39" name="toc 2"> <w:lsdexception locked="false" priority="39" name="toc 3"> <w:lsdexception locked="false" priority="39" name="toc 4"> <w:lsdexception locked="false" priority="39" name="toc 5"> <w:lsdexception locked="false" priority="39" name="toc 6"> <w:lsdexception locked="false" priority="39" name="toc 7"> <w:lsdexception locked="false" priority="39" name="toc 8"> <w:lsdexception locked="false" priority="39" name="toc 9"> <w:lsdexception locked="false" priority="35" qformat="true" name="caption"> <w:lsdexception locked="false" priority="10" semihidden="false" unhidewhenused="false" qformat="true" name="Title"> <w:lsdexception locked="false" priority="1" name="Default Paragraph Font"> <w:lsdexception locked="false" priority="11" semihidden="false" unhidewhenused="false" qformat="true" name="Subtitle"> <w:lsdexception locked="false" priority="22" semihidden="false" unhidewhenused="false" qformat="true" name="Strong"> <w:lsdexception locked="false" priority="20" semihidden="false" unhidewhenused="false" qformat="true" name="Emphasis"> <w:lsdexception locked="false" priority="59" semihidden="false" unhidewhenused="false" name="Table Grid"> <w:lsdexception locked="false" unhidewhenused="false" name="Placeholder Text"> <w:lsdexception locked="false" priority="1" semihidden="false" unhidewhenused="false" qformat="true" name="No Spacing"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 1"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 1"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 1"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 1"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 1"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 1"> <w:lsdexception locked="false" unhidewhenused="false" name="Revision"> <w:lsdexception locked="false" priority="34" semihidden="false" unhidewhenused="false" qformat="true" name="List Paragraph"> <w:lsdexception locked="false" priority="29" semihidden="false" unhidewhenused="false" qformat="true" name="Quote"> <w:lsdexception locked="false" priority="30" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Quote"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 1"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 1"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 1"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 1"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 1"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 1"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 1"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 1"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 2"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 2"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 2"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 2"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 2"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 2"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 2"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 2"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 2"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 2"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 2"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 2"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 2"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 2"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 3"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 3"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 3"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 3"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 3"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 3"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 3"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 3"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 3"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 3"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 3"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 3"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 3"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 3"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 4"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 4"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 4"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 4"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 4"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 4"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 4"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 4"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 4"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 4"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 4"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 4"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 4"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 4"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 5"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 5"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 5"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 5"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 5"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 5"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 5"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 5"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 5"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 5"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 5"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 5"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 5"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 5"> <w:lsdexception locked="false" priority="60" semihidden="false" unhidewhenused="false" name="Light Shading Accent 6"> <w:lsdexception locked="false" priority="61" semihidden="false" unhidewhenused="false" name="Light List Accent 6"> <w:lsdexception locked="false" priority="62" semihidden="false" unhidewhenused="false" name="Light Grid Accent 6"> <w:lsdexception locked="false" priority="63" semihidden="false" unhidewhenused="false" name="Medium Shading 1 Accent 6"> <w:lsdexception locked="false" priority="64" semihidden="false" unhidewhenused="false" name="Medium Shading 2 Accent 6"> <w:lsdexception locked="false" priority="65" semihidden="false" unhidewhenused="false" name="Medium List 1 Accent 6"> <w:lsdexception locked="false" priority="66" semihidden="false" unhidewhenused="false" name="Medium List 2 Accent 6"> <w:lsdexception locked="false" priority="67" semihidden="false" unhidewhenused="false" name="Medium Grid 1 Accent 6"> <w:lsdexception locked="false" priority="68" semihidden="false" unhidewhenused="false" name="Medium Grid 2 Accent 6"> <w:lsdexception locked="false" priority="69" semihidden="false" unhidewhenused="false" name="Medium Grid 3 Accent 6"> <w:lsdexception locked="false" priority="70" semihidden="false" unhidewhenused="false" name="Dark List Accent 6"> <w:lsdexception locked="false" priority="71" semihidden="false" unhidewhenused="false" name="Colorful Shading Accent 6"> <w:lsdexception locked="false" priority="72" semihidden="false" unhidewhenused="false" name="Colorful List Accent 6"> <w:lsdexception locked="false" priority="73" semihidden="false" unhidewhenused="false" name="Colorful Grid Accent 6"> <w:lsdexception locked="false" priority="19" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Emphasis"> <w:lsdexception locked="false" priority="21" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Emphasis"> <w:lsdexception locked="false" priority="31" semihidden="false" unhidewhenused="false" qformat="true" name="Subtle Reference"> <w:lsdexception locked="false" priority="32" semihidden="false" unhidewhenused="false" qformat="true" name="Intense Reference"> <w:lsdexception locked="false" priority="33" semihidden="false" unhidewhenused="false" qformat="true" name="Book Title"> <w:lsdexception locked="false" priority="37" name="Bibliography"> <w:lsdexception locked="false" priority="39" qformat="true" name="TOC Heading"> </w:LatentStyles> </xml><![endif]--><style> <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:1; mso-generic-font-family:roman; mso-font-format:other; mso-font-pitch:variable; mso-font-signature:0 0 0 0 0 0;} @font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:-1610611985 1073750139 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin-top:0cm; margin-right:0cm; margin-bottom:10.0pt; margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Arial","sans-serif"; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-fareast-language:EN-US;} h3 {mso-style-priority:9; mso-style-qformat:yes; mso-style-link:"Título 3 Car"; mso-style-next:Normal; margin-top:10.0pt; margin-right:0cm; margin-bottom:0cm; margin-left:0cm; margin-bottom:.0001pt; line-height:115%; mso-pagination:widow-orphan lines-together; page-break-after:avoid; mso-outline-level:3; font-size:12.0pt; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#4F81BD; mso-themecolor:accent1; mso-fareast-language:EN-US;} span.Ttulo3Car {mso-style-name:"Título 3 Car"; mso-style-priority:9; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Título 3"; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#4F81BD; mso-themecolor:accent1; font-weight:bold;} span.i {mso-style-name:i; mso-style-unhide:no;} span.ac {mso-style-name:ac; mso-style-unhide:no;} span.b {mso-style-name:b; mso-style-unhide:no;} .MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:12.0pt; mso-ansi-font-size:12.0pt; mso-bidi-font-size:12.0pt; mso-ascii-font-family:Arial; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Arial; mso-bidi-font-family:Arial; mso-fareast-language:EN-US;} .MsoPapDefault {mso-style-type:export-only; margin-bottom:10.0pt; line-height:115%;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:571816244; mso-list-template-ids:-389020460;} @list l1 {mso-list-id:607860509; mso-list-template-ids:832200152;} @list l2 {mso-list-id:626669597; mso-list-template-ids:-635398040;} @list l3 {mso-list-id:765151497; mso-list-template-ids:1084655900;} @list l4 {mso-list-id:1910378510; mso-list-template-ids:1129985032;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> </style><!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Arial","sans-serif"; mso-fareast-language:EN-US;} </style> <![endif]--> </h3><h3 style="color: rgb(0, 0, 0);font-family:georgia;"><span style="font-weight: bold;">¿Que es</span></h3>extrapolar?<o:p></o:p> <ol style="color: rgb(0, 0, 0);font-family:georgia;" start="1" type="1"><li class="MsoNormal" style="line-height: normal;">tr. Aplicar un criterio conocido a otros casos similares para extraer conclusiones o hipótesis:
<br /><span class="i">no debes extrapolar los resultados obtenidos en una asignatura a otra distint</span><span class="i">a.</span> <o:p></o:p></li><li class="MsoNormal" style="line-height: normal;"><span class="ac">mat.</span> Deducir el valor de una variable en una magnitud a partir de otros valores no incluidos en dicha magnitud. <o:p></o:p></li><li class="MsoNormal" style="line-height: normal;">Sa car una frase de su contexto:
<br /><span class="i">se enfadó porque extrapolaron varias frases de su declaración, con lo que cambió su sentido.</span><o:p></o:p></li></ol> <h3 style="font-family: georgia; color: rgb(0, 0, 0);">¿Que es generalizar? <o:p></o:p></h3> <ol style="color: rgb(0, 0, 0);font-family:georgia;" start="1" type="1"><li class="MsoNormal" style="line-height: normal;">tr. Hacer común o corriente algo. También prnl.:
<br /><span class="i">esta costumbre se ha generalizado.</span> <o:p></o:p></li><li class="MsoNormal" style="line-height: normal;">int r. y tr. Sacar una conclusión general de algo particular:
<br /><span class="i">no generalices, no todos somos así.</span> <o:p></o:p></li></ol><h3 style="font-family: georgia; color: rgb(0, 0, 0);"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgL0eVnEgKaS-tRmxf6LFY-2C7QgO51HZpychoEwOZ90SeWKE-TkWdZYxdsQOwggsyMvN98b-gXMfwlZEOSRFhH32Mxg6rHbnWAXx0dLNIMRRo6EDsjzDWVoDg4O1Rce1JTxbTYScxCZ1G_/s1600-h/pensar1.bmp"><img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 237px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgL0eVnEgKaS-tRmxf6LFY-2C7QgO51HZpychoEwOZ90SeWKE-TkWdZYxdsQOwggsyMvN98b-gXMfwlZEOSRFhH32Mxg6rHbnWAXx0dLNIMRRo6EDsjzDWVoDg4O1Rce1JTxbTYScxCZ1G_/s320/pensar1.bmp" alt="" id="BLOGGER_PHOTO_ID_5430861204363066306" border="0" /></a></h3> <ol style="color: rgb(0, 0, 0);font-family:georgia;" start="1" type="1"><li class="MsoNormal" style="line-height: normal;"> Tratar los as pectos generales de algo, sin detenerse en ningún aspecto particular:
<br /><span class="i">generalizó sobre la crisis económica.</span>
<br />♦ Se conj. como <span class="b">cazar</span>.<o:p></o:p></li></ol> <h3 style="font-family: georgia; color: rgb(0, 0, 0);">¿Que es interpretar? </h3><h3 style="font-family: georgia; color: rgb(0, 0, 0);"><o:p></o:p></h3> <ol start="1" type="1"><li class="MsoNormal" style="color: rgb(0, 0, 0); line-height: normal;font-family:georgia;">tr. Explicar el sentido o significado de una cosa:
<br /><span class="i">no has sabido interpretar mis palabras.</span> <o:p></o:p></li><li class="MsoNormal" style="color: rgb(0, 0, 0); line-height: normal;font-family:georgia;">Concebir, ordenar o expresar de un modo personal la realidad:
<br /><span class="i">el barroco interpreta el mundo como teatro.</span> <o:p></o:p></li><li class="MsoNormal" style="color: rgb(0, 0, 0); line-height: normal;font-family:georgia;">Traducir de una lengua a otra, sobre todo cuando se hace oralmente. <o:p></o:p></li><li class="MsoNormal" style="color: rgb(0, 0, 0); line-height: normal; font-family: georgia;">Representar un personaje, actuar:
<br /><span class="i">está interpretando "Antígona" en una gira por América.</span></li><li class="MsoNormal" face="georgia" style="color: rgb(0, 0, 0); line-height: normal;"><span style="color: rgb(0, 0, 0);font-family:georgia;" >Ejecutar una pieza musical o de baile:</span> <span style="color: rgb(0, 0, 0);font-family:georgia;" class="i" >la orquesta interpretó magistralmente la obertura.</span> <o:p></o:p></li></ol> <p class="MsoNormal"><o:p> </o:p></p> Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-7910995446127844047.post-51434087632225573322010-01-25T17:13:00.000-08:002010-03-07T08:37:33.562-08:00El método de Miguel de Guzman<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZfDYhDDZ5ti7brdvLCnMe31GGMXgxjaR02NHQYdVjtuX3Po-igSAzHA8SMJHIBQ8hm8PJJvwZMSgZg1CTDfua2aYSLZfjspbSTmGGl7yrx2uPzbI8zW7XB9Uyh1znuBslHv8C2eGVTACW/s1600-h/miguel+de+guzman.bmp"><img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 198px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZfDYhDDZ5ti7brdvLCnMe31GGMXgxjaR02NHQYdVjtuX3Po-igSAzHA8SMJHIBQ8hm8PJJvwZMSgZg1CTDfua2aYSLZfjspbSTmGGl7yrx2uPzbI8zW7XB9Uyh1znuBslHv8C2eGVTACW/s320/miguel+de+guzman.bmp" alt="" id="BLOGGER_PHOTO_ID_5430853205850168242" border="0" /></a><br /><span style="font-weight: bold;font-family:georgia;" >El método de Miguel de Guzman</span><br /><br /><span style="font-family:georgia;">Los problemas que desarollan las competencias matemáticas no son los típicos problemas de aplicación de fórmulas que nos sirven para aprobar, incluso para sobresalir en las asignaturas de matemáticas de ESO y Bachillerato. Son problemas en los que importa más el razonamiento que el mismo resultado, igual que para un caminante importa mas el camino que la llegada.</span><br /><br /><span style="font-weight: bold;font-family:georgia;" >¿Que características tienen estos problemas?:</span><br /><span style="font-weight: bold;font-family:georgia;" >1.- Requieren atención para entender el enunciado</span><br /><span style="font-weight: bold;font-family:georgia;" >2.- Despiertan cierto interés ( unos más que otros y en unas personas más que en otras). Dicho interés no está en la utilidad que pueda tener el problema, sino en el reto que nos ofrece resolverlo.</span><br /><span style="font-weight: bold;font-family:georgia;" >3.- Requieren deliberación, toma de decisiones, manipulación, busqueda de estrategias a seguir y concentración durante su resolución.</span><br /><span style="font-weight: bold;font-family:georgia;" >4.- Suelen tener algún contenido relacionado con alguna parte de las Matemáticas</span><br /><span style="font-weight: bold;font-family:georgia;" >5.- No se resuelven por algoritmos o procedimientos mecánicos ( como aplicar simplemente unas fórmulas).</span><br /><span style="font-weight: bold;font-family:georgia;" >6.- El proceso de resolución puede ser largo y producir cierta angustia, ansiedad o sensción de fracaso , sobre todo cuando se entiende que el éxito está solo si se llega a la solución. En realidad el éxito empieza cuando se entiende el enunciado y en el mismo proceso de resolución, aunque no se llegue a la solución</span><br /><span style="font-weight: bold;font-family:georgia;" >7.- Llegar a alguna solución produce una satisfacción que es proporcional al esfuerzo empleado.</span><br /><span style="font-weight: bold;font-family:georgia;" >8.-También se aprecia satisfacción en generalizar el problema y/o inventar otros similares, hacer conjeturas o simples preguntas.</span><br /><br /><span style="font-family:georgia;">En el libro “Para pensar mejor”, Miguel de Guzmán nos ofrece un método para guiarnos en el razonamiento productivo.</span><br /><br /><span style="font-family:georgia;">El razonamiento es un proceso interno y dificilmente compartible. A pesar de que es una actividad universal no sabemos a ciencia cierta si todos pensamos del mismo modo, y mejor, cuales son las estrategias que dan lugar a mejores resultados.</span><br /><br /><span style="font-family:georgia;">Las respuesta es inmediata: hay que saber como piensan las personas que mejor resuelven los problemas. Por eso el libro recomendado anteriormente es tan importante: porque Miguel de Guzman nos abre su mente y nos explica paso a paso su procesod educativo . Además nos propone, para ser corregidos, que hagamos exactamente lo mismo. Esto es : seguir un protocolo que consiste en ir anotando en un margen de la hoja donde hacemos los cálculos y los razonamientos, las sensaciones. Esto debe hacerse a intervalos regulares de tiempo. Así:</span><br /><br /><span style="font-family:georgia;">A los 3 minutos de examinar el enunciado podemos escribir las primeras impresiones: Pensamos que</span><br /><span style="font-family:georgia;">-el problema será fácil o difícil.</span><br /><span style="font-family:georgia;">-entretenido o no.</span><br /><span style="font-family:georgia;">-ruerequirá muchos cáculos o no.</span><br /><span style="font-family:georgia;">- que utilizaremos fórmulas conocidas o habrá que buscarlas.</span><br /><span style="font-family:georgia;">-conocemos problemas parecidos o no.</span><br /><span style="font-family:georgia;">-tendrá varias soluciones o es posible queno tenga solución.</span><br /><br /><span style="font-family:georgia;">A los 10 minutos escribimos sobre la primera estrategia ensayada :</span><br /><br /><span style="font-family:georgia;">- Se usa trigonometría..</span><br /><span style="font-family:georgia;">-Se descompone en problemas más sencillos.</span><br /><span style="font-family:georgia;">- Hay un caso más simple que es fácil de resolver.</span><br /><span style="font-family:georgia;">- Hay que utilizar coordenadas y ecuaciones….</span><br /><br /><span style="font-family:georgia;">Durante todo el periodo de resolución cada 5 ó 10 minutos se deben escribir las impresiones, los caminos seguidos, incluidos con los que han llevado a fracasos y por qué.</span><br /><br /><span style="font-family:georgia;">En el caso de llegar a alguna solución anotar:</span><br /><br /><span style="font-family:georgia;">- El grado de satisfacción.</span><br /><span style="font-family:georgia;">-La dificultad</span><br /><span style="font-family:georgia;">- Las herramientas usadas: teoremás y resultados previos, programas de ordenador, gráficas, esquemas…</span><br /><span style="font-family:georgia;">- Desde la solución ¿se ve algún otro método mas sencillo y elegante para alcanzarla?</span><br /><span style="font-family:georgia;">-Preguntas, conjeturas y generalizaciones.</span><br /><br /><span style="font-weight: bold;font-family:georgia;" >El propósito de este método es facilitar la corrección del profesor, aunque ya de por sí y antes de que llegue a él, nos sirve para ordenar nuestro pensamiento y de contrastarlo con el de nuestros compañeros.</span>Unknownnoreply@blogger.com1