126:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Funciones racionales y cónicas:@0.073089:0.043661:0.343993:0.043661:0.343993:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8. Encuentra la ecuación cartesiana de la recta tangente a la elipse ( , 6, 3) en el punto dado en cada inciso.:@0.073089:0.136836:0.896664:0.136836:0.896664:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.588208:0.136836:0.596860:0.136836:0.596860:0.120153:0.588208:0.120153:0.000000 a. :@0.104633:0.171347:0.120076:0.171347:0.120076:0.155634:0.104633:0.155634:0.000000:0.000000:0.000000 (6,0):@0.142834:0.171347:0.196614:0.171347:0.196614:0.155634:0.142834:0.155634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.146785:0.170792:0.162119:0.170792:0.162119:0.157076:0.146785:0.157076:0.000000 b. :@0.104633:0.206497:0.121531:0.206497:0.121531:0.190785:0.104633:0.190785:0.000000:0.000000:0.000000 :@0.142834:0.206497:0.166058:0.206497:0.166058:0.190785:0.142834:0.190785:0.000000:0.000000:0.000000 5 2:@0.146785:0.205943:0.186250:0.205943:0.186250:0.192227:0.146785:0.192227:0.000000:0.000000:0.000000 1:@0.166198:0.210836:0.170285:0.210836:0.170285:0.187554:0.166198:0.187554:0.000000 2,2 2):@0.186158:0.206497:0.232710:0.206497:0.232710:0.190785:0.186158:0.190785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. :@0.536564:0.172438:0.551639:0.172438:0.551639:0.156726:0.536564:0.156726:0.000000:0.000000:0.000000 :@0.574766:0.172438:0.578797:0.172438:0.578797:0.156726:0.574766:0.156726:0.000000 5 2:@0.578717:0.171884:0.622789:0.173389:0.622789:0.159673:0.578717:0.158168:0.000000:0.000000:0.000000 5:@0.628930:0.181076:0.637913:0.181076:0.637913:0.165363:0.628930:0.165363:0.000000 3:@0.598473:0.173944:0.607455:0.173944:0.607455:0.158231:0.598473:0.158231:0.000000 13:@0.623731:0.167132:0.641696:0.167132:0.641696:0.151419:0.623731:0.151419:0.000000:0.000000 (:@0.594080:0.182572:0.598958:0.182572:0.598958:0.149656:0.594080:0.149656:0.000000 ):@0.642141:0.182572:0.647019:0.182572:0.647019:0.149656:0.642141:0.149656:0.000000 d. :@0.536564:0.206950:0.553443:0.206950:0.553443:0.191237:0.536564:0.191237:0.000000:0.000000:0.000000 (0, 3):@0.574766:0.206950:0.643749:0.206950:0.643749:0.191237:0.574766:0.191237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.578717:0.206395:0.594050:0.206395:0.594050:0.192680:0.578717:0.192680:0.000000 2:@0.614721:0.206395:0.630054:0.206395:0.630054:0.192680:0.614721:0.192680:0.000000 9. Escribe la ecuación de la elipse que se traslada a un centro dado en cada inciso ( ( , :@0.073089:0.241460:0.751089:0.241460:0.751089:0.224791:0.073089:0.224791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.721551:0.241460:0.730202:0.241460:0.730202:0.224777:0.721551:0.224777:0.000000 a,b:@0.751623:0.241460:0.774816:0.241460:0.774816:0.224777:0.751623:0.224777:0.000000:0.000000:0.000000 )) y :@0.774834:0.241460:0.802353:0.241460:0.802353:0.224791:0.774834:0.224791:0.000000:0.000000:0.000000:0.000000:0.000000 grafica:@0.802887:0.241460:0.857416:0.241460:0.857416:0.224513:0.802887:0.224513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la nueva :@0.857464:0.241460:0.930802:0.241460:0.930802:0.224791:0.857464:0.224791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 elipse.:@0.103209:0.258102:0.151211:0.258102:0.151211:0.241433:0.103209:0.241433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.296106:0.120076:0.296106:0.120076:0.280393:0.104633:0.280393:0.000000:0.000000:0.000000 :@0.142834:0.296106:0.146866:0.296106:0.146866:0.280393:0.142834:0.280393:0.000000 5 2:@0.146785:0.295551:0.181875:0.294654:0.181875:0.280938:0.146785:0.281836:0.000000:0.000000:0.000000 4:@0.196999:0.302341:0.205981:0.302341:0.205981:0.286628:0.196999:0.286628:0.000000 2:@0.181875:0.295208:0.190857:0.295208:0.190857:0.279496:0.181875:0.279496:0.000000 11:@0.191798:0.288397:0.209763:0.288397:0.209763:0.272684:0.191798:0.272684:0.000000:0.000000 (:@0.162149:0.303837:0.167027:0.303837:0.167027:0.270921:0.162149:0.270921:0.000000 ):@0.210210:0.303837:0.215088:0.303837:0.215088:0.270921:0.210210:0.270921:0.000000 b. E:@0.536564:0.292613:0.574869:0.292613:0.574869:0.277177:0.536564:0.277177:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.574796:0.292613:0.578146:0.292613:0.578146:0.275929:0.574796:0.275929:0.000000 ( ,6,4):@0.578072:0.292613:0.619338:0.292613:0.619338:0.276900:0.578072:0.276900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( 3, 3):@0.133331:0.341338:0.225352:0.341338:0.225352:0.325625:0.133331:0.325625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2 2:@0.149018:0.340783:0.211657:0.340783:0.211657:0.327068:0.149018:0.327068:0.000000:0.000000:0.000000:0.000000:0.000000 Trabajen :@0.225260:0.341338:0.294941:0.341338:0.294941:0.324668:0.225260:0.324668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en equipo, :@0.294840:0.341338:0.376305:0.341338:0.376305:0.325625:0.294840:0.325625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 indaguen resuelvan.:@0.376163:0.341338:0.542169:0.341338:0.542169:0.324668:0.376163:0.324668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.449185:0.341338:0.465199:0.341338:0.465199:0.325625:0.449185:0.325625:0.000000:0.000000:0.000000 10. :@0.073089:0.387326:0.099467:0.387326:0.099467:0.370657:0.073089:0.370657:0.000000:0.000000:0.000000:0.000000 Dada :@0.103210:0.387484:0.149203:0.387484:0.149203:0.370056:0.103210:0.370056:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.149107:0.387484:0.156900:0.387484:0.156900:0.371347:0.149107:0.371347:0.000000 :@0.151050:0.387484:0.157978:0.387484:0.157978:0.370042:0.151050:0.370042:0.000000:0.000000 5:@0.157920:0.386904:0.173951:0.386904:0.173951:0.372565:0.157920:0.372565:0.000000 ( , ) :@0.173854:0.387484:0.254162:0.387484:0.254162:0.370056:0.173854:0.370056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y E:@0.183245:0.387484:0.226410:0.387484:0.226410:0.370042:0.183245:0.370042:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.262078:0.396963:0.271337:0.396963:0.271337:0.381528:0.262078:0.381528:0.000000 ( ) ( ):@0.253233:0.398879:0.331773:0.399386:0.331773:0.366470:0.253233:0.365963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.264294:0.384400:0.276041:0.384400:0.276041:0.367561:0.264294:0.367561:0.000000:0.000000 :@0.279816:0.384491:0.285559:0.384491:0.285559:0.367350:0.279816:0.367350:0.000000 :@0.285655:0.387484:0.289734:0.387484:0.289734:0.370056:0.285655:0.370056:0.000000 1:@0.289652:0.386904:0.305683:0.386904:0.305683:0.372565:0.289652:0.372565:0.000000 b:@0.314191:0.399163:0.323450:0.399163:0.323450:0.383728:0.314191:0.383728:0.000000 y:@0.316047:0.383057:0.324199:0.383057:0.324199:0.366219:0.316047:0.366219:0.000000 :@0.331388:0.384994:0.337131:0.384994:0.337131:0.367853:0.331388:0.367853:0.000000 5:@0.337141:0.386904:0.353172:0.386904:0.353172:0.372565:0.337141:0.372565:0.000000 1.:@0.353075:0.387484:0.370857:0.387484:0.370857:0.370056:0.353075:0.370056:0.000000:0.000000:0.000000 c. :@0.104633:0.428984:0.119708:0.428984:0.119708:0.413271:0.104633:0.413271:0.000000:0.000000:0.000000 Obtengan:@0.134834:0.428984:0.214848:0.428984:0.214848:0.412037:0.134834:0.412037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la elipse :@0.214758:0.428984:0.281006:0.428984:0.281006:0.413271:0.214758:0.413271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.280859:0.428984:0.288976:0.428984:0.288976:0.413548:0.280859:0.413548:0.000000 :@0.104633:0.474817:0.108664:0.474817:0.108664:0.459104:0.104633:0.459104:0.000000 que pasa por los puntos :@0.133330:0.474817:0.312193:0.474817:0.312193:0.459104:0.133330:0.459104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.319770:0.482662:0.328753:0.482662:0.328753:0.466950:0.319770:0.466950:0.000000 , 2 , :@0.334722:0.474294:0.365030:0.474817:0.365030:0.459104:0.334722:0.458581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.319268:0.468871:0.328251:0.468871:0.328251:0.453158:0.319268:0.453158:0.000000 ( ) (:@0.311863:0.482897:0.368924:0.483008:0.368924:0.450091:0.311863:0.449980:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.393834:0.482772:0.402817:0.482772:0.402817:0.467059:0.393834:0.467059:0.000000 2:@0.366297:0.474867:0.381630:0.474867:0.381630:0.461152:0.366297:0.461152:0.000000 , 5.:@0.412983:0.475105:0.433336:0.474817:0.433336:0.459104:0.412983:0.459393:0.000000:0.000000:0.000000:0.000000 22:@0.393330:0.468981:0.411296:0.468981:0.411296:0.453268:0.393330:0.453268:0.000000:0.000000 ):@0.426355:0.482862:0.431233:0.482862:0.431233:0.449946:0.426355:0.449946:0.000000 d. :@0.104633:0.516476:0.121512:0.516476:0.121512:0.500763:0.104633:0.500763:0.000000:0.000000:0.000000 Comprueben:@0.134834:0.516476:0.238778:0.516476:0.238778:0.499529:0.134834:0.499529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que::@0.238688:0.516476:0.274306:0.516476:0.274306:0.500763:0.238688:0.500763:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.137282:0.562592:0.145400:0.562592:0.145400:0.547157:0.137282:0.547157:0.000000 ( , ) | :@0.145326:0.562592:0.293043:0.562592:0.293043:0.546880:0.145326:0.546880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.149284:0.562038:0.164617:0.562038:0.164617:0.548322:0.149284:0.548322:0.000000 5:@0.168695:0.565347:0.172781:0.565347:0.172781:0.542065:0.168695:0.542065:0.000000 5:@0.189733:0.562038:0.205066:0.562038:0.205066:0.548322:0.189733:0.548322:0.000000 x y:@0.213717:0.562592:0.235640:0.562592:0.235640:0.547157:0.213717:0.547157:0.000000:0.000000:0.000000 [:@0.244339:0.562302:0.258975:0.562302:0.258975:0.548892:0.244339:0.548892:0.000000 R:@0.262845:0.561733:0.276135:0.561733:0.276135:0.548835:0.262845:0.548835:0.000000 2:@0.276036:0.556529:0.281273:0.556529:0.281273:0.547368:0.276036:0.547368:0.000000 8:@0.300951:0.570957:0.310750:0.570957:0.310750:0.553816:0.300951:0.553816:0.000000 ( ) ( ):@0.292106:0.570037:0.373241:0.570201:0.373241:0.537285:0.292106:0.537121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.303167:0.555556:0.314914:0.555556:0.314914:0.538718:0.303167:0.538718:0.000000:0.000000 :@0.318689:0.555647:0.324432:0.555647:0.324432:0.538506:0.318689:0.538506:0.000000 :@0.324527:0.562592:0.347198:0.562592:0.347198:0.546880:0.324527:0.546880:0.000000:0.000000:0.000000 1:@0.327926:0.562038:0.343259:0.562038:0.343259:0.548322:0.327926:0.548322:0.000000 6:@0.355120:0.571120:0.364920:0.571120:0.364920:0.553979:0.355120:0.553979:0.000000 y:@0.356352:0.553872:0.364505:0.553872:0.364505:0.537033:0.356352:0.537033:0.000000 :@0.372858:0.555808:0.378601:0.555808:0.378601:0.538667:0.372858:0.538667:0.000000 1 .:@0.378698:0.562592:0.418885:0.562592:0.418885:0.546880:0.378698:0.546880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.382649:0.562038:0.397982:0.562038:0.397982:0.548322:0.382649:0.548322:0.000000 6:@0.410963:0.564677:0.415049:0.564677:0.415049:0.541396:0.410963:0.541396:0.000000 c.:@0.104633:0.604250:0.115769:0.604250:0.115769:0.588537:0.104633:0.588537:0.000000:0.000000 Obtengan:@0.115682:0.604250:0.212188:0.604250:0.212188:0.587580:0.115682:0.587580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los focos, :@0.212084:0.604250:0.286122:0.604250:0.286122:0.588537:0.212084:0.588537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calculen:@0.285971:0.604250:0.349089:0.604250:0.349089:0.587580:0.285971:0.587580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la excentricidad y :@0.348979:0.604250:0.483208:0.604250:0.483208:0.588537:0.348979:0.588537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 representen:@0.483002:0.604250:0.574910:0.604250:0.574910:0.587580:0.483002:0.587580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gráficamente esta elipse.:@0.574799:0.604250:0.757782:0.604250:0.757782:0.588537:0.574799:0.588537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 11. :@0.757573:0.604250:0.783951:0.604250:0.783951:0.587580:0.757573:0.587580:0.000000:0.000000:0.000000:0.000000 Analiza y decide si :@0.795992:0.604250:0.931065:0.604250:0.931065:0.588537:0.795992:0.588537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las afirmaciones son verdaderas (V) o falsas (F). :@0.134749:0.620892:0.478983:0.620892:0.478983:0.605179:0.134749:0.605179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V:@0.857175:0.664568:0.867446:0.664568:0.867446:0.647898:0.857175:0.647898:0.000000 F:@0.900671:0.664568:0.909635:0.664568:0.909635:0.647898:0.900671:0.647898:0.000000 La ecuación canónica de la elipse de centro y eje transverso al eje es: :@0.137178:0.697097:0.689315:0.697097:0.689315:0.680671:0.137178:0.680671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.653232:0.697097:0.661026:0.697097:0.661026:0.680961:0.653232:0.680961:0.000000 x:@0.137187:0.714496:0.144981:0.714496:0.144981:0.698359:0.137187:0.698359:0.000000 1:@0.144981:0.714496:0.216568:0.714496:0.216568:0.698069:0.144981:0.698069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.149195:0.713916:0.165225:0.713916:0.165225:0.699577:0.149195:0.699577:0.000000 y:@0.169440:0.714496:0.177253:0.714496:0.177253:0.698359:0.169440:0.698359:0.000000 2:@0.177244:0.708156:0.182719:0.708156:0.182719:0.698579:0.177244:0.698579:0.000000 5:@0.186932:0.713916:0.202963:0.713916:0.202963:0.699577:0.186932:0.699577:0.000000 Un problema relativo a la elipse consiste en hallar la ecuación de la recta tangente a la elipse :@0.137187:0.746088:0.837728:0.746088:0.837728:0.729661:0.137187:0.729661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que pasa por un punto (x , y ) perteneciente a la elipse.:@0.137187:0.763486:0.552423:0.763483:0.552423:0.747056:0.137187:0.747060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.328845:0.766799:0.334320:0.766799:0.334320:0.757222:0.328845:0.757222:0.000000 0:@0.350005:0.766799:0.355480:0.766799:0.355480:0.757222:0.350005:0.757222:0.000000 La pendiente de una recta tangente a la elipse en un punto ( , ) con se calcula :@0.137178:0.797816:0.822060:0.797812:0.822060:0.781385:0.137178:0.781389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.600935:0.797816:0.629573:0.797812:0.629573:0.781675:0.600935:0.781679:0.000000:0.000000:0.000000 0:@0.608722:0.801129:0.614197:0.801129:0.614197:0.791552:0.608722:0.791552:0.000000 0:@0.629572:0.801129:0.635047:0.801129:0.635047:0.791552:0.629572:0.791552:0.000000 x:@0.677712:0.797812:0.685505:0.797812:0.685505:0.781675:0.677712:0.781675:0.000000 ?:@0.689720:0.798377:0.705750:0.798377:0.705750:0.782516:0.689720:0.782516:0.000000 6:@0.709964:0.797232:0.725995:0.797232:0.725995:0.782893:0.709964:0.782893:0.000000 a:@0.730209:0.797812:0.739889:0.797812:0.739889:0.781675:0.730209:0.781675:0.000000 de la siguiente forma: :@0.137188:0.823301:0.306032:0.823301:0.306032:0.806874:0.137188:0.806874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a y:@0.356620:0.830232:0.379095:0.830232:0.379095:0.814797:0.356620:0.814797:0.000000:0.000000:0.000000  ₀:@0.365878:0.830547:0.385320:0.830547:0.385320:0.812620:0.365878:0.812620:0.000000:0.000000:0.000000 x:@0.376431:0.812826:0.383886:0.812826:0.383886:0.797391:0.376431:0.797391:0.000000 ₀:@0.383886:0.813141:0.390111:0.813141:0.390111:0.795214:0.383886:0.795214:0.000000 m :@0.305807:0.822791:0.323736:0.822791:0.323736:0.807356:0.305807:0.807356:0.000000:0.000000 5:@0.323736:0.822236:0.339069:0.822236:0.339069:0.808521:0.323736:0.808521:0.000000 2:@0.340175:0.813275:0.356902:0.813275:0.356902:0.798313:0.340175:0.798313:0.000000 b :@0.356902:0.813880:0.376361:0.813880:0.376361:0.797042:0.356902:0.797042:0.000000:0.000000:0.000000 ²:@0.367003:0.813880:0.372746:0.813880:0.372746:0.795952:0.367003:0.795952:0.000000 La ecuación canónica de la elipse de centro y eje transverso al eje es: :@0.137178:0.870200:0.689315:0.870200:0.689315:0.853773:0.137178:0.853773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.653232:0.870200:0.661026:0.870200:0.661026:0.854063:0.653232:0.854063:0.000000 a:@0.697318:0.875273:0.706577:0.875273:0.706577:0.859838:0.697318:0.859838:0.000000 ( ) ( ):@0.688472:0.877190:0.771620:0.878805:0.771620:0.845888:0.688472:0.844273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.699532:0.862710:0.711279:0.862710:0.711279:0.845872:0.699532:0.845872:0.000000:0.000000 :@0.715054:0.862801:0.720797:0.862801:0.720797:0.845660:0.715054:0.845660:0.000000 :@0.720974:0.870200:0.745434:0.870200:0.745434:0.853773:0.720974:0.853773:0.000000:0.000000:0.000000 1:@0.725190:0.869620:0.741220:0.869620:0.741220:0.855281:0.725190:0.855281:0.000000 b:@0.754039:0.878582:0.763298:0.878582:0.763298:0.863146:0.754039:0.863146:0.000000 y:@0.755895:0.862476:0.764047:0.862476:0.764047:0.845637:0.755895:0.845637:0.000000 :@0.771236:0.864412:0.776979:0.864412:0.776979:0.847271:0.771236:0.847271:0.000000 :@0.777071:0.870200:0.781286:0.870200:0.781286:0.853773:0.777071:0.853773:0.000000 5 :@0.781285:0.869620:0.802126:0.869620:0.802126:0.855281:0.781285:0.855281:0.000000:0.000000 1:@0.802126:0.870200:0.811517:0.870200:0.811517:0.853773:0.802126:0.853773:0.000000 !:@0.210026:0.208173:0.217456:0.208173:0.217456:0.192124:0.210026:0.192124:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000