124:@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 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Considera la elipse::@0.073089:0.136836:0.248366:0.136836:0.248366:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.103214:0.172159:0.111332:0.172159:0.111332:0.156723:0.103214:0.156723:0.000000 ( , 5, 3) ( , ) :@0.111258:0.172159:0.280705:0.172161:0.280705:0.155491:0.111258:0.155489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.166638:0.171606:0.181972:0.171606:0.181972:0.157891:0.166638:0.157891:0.000000 5:@0.185926:0.176727:0.190012:0.176727:0.190012:0.153445:0.185926:0.153445:0.000000 5:@0.206713:0.171606:0.222046:0.171606:0.222046:0.157891:0.206713:0.157891:0.000000 x y:@0.230937:0.172161:0.253357:0.172161:0.253357:0.156726:0.230937:0.156726:0.000000:0.000000:0.000000 [:@0.262254:0.171871:0.276890:0.171871:0.276890:0.158461:0.262254:0.158461:0.000000 R:@0.280631:0.171301:0.293921:0.171301:0.293921:0.158404:0.280631:0.158404:0.000000 2:@0.293824:0.166097:0.299329:0.166097:0.299329:0.156379:0.293824:0.156379:0.000000 | :@0.299284:0.172161:0.311341:0.172161:0.311341:0.155491:0.299284:0.155491:0.000000:0.000000:0.000000 5:@0.317640:0.181665:0.327439:0.181665:0.327439:0.164523:0.317640:0.164523:0.000000 ( ) ( ):@0.310471:0.181101:0.388734:0.179664:0.388734:0.146747:0.310471:0.148185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.319916:0.166576:0.331663:0.166576:0.331663:0.149737:0.319916:0.149737:0.000000:0.000000 :@0.335438:0.166667:0.341181:0.166667:0.341181:0.149526:0.335438:0.149526:0.000000 :@0.341280:0.172161:0.364249:0.172161:0.364249:0.155491:0.341280:0.155491:0.000000:0.000000:0.000000 1:@0.345105:0.171606:0.360438:0.171606:0.360438:0.157891:0.345105:0.157891:0.000000 3:@0.370556:0.180284:0.380355:0.180284:0.380355:0.163143:0.370556:0.163143:0.000000 y:@0.371846:0.163527:0.379999:0.163527:0.379999:0.146689:0.371846:0.146689:0.000000 :@0.388352:0.165282:0.394095:0.165282:0.394095:0.148141:0.388352:0.148141:0.000000 1 .:@0.394196:0.172161:0.439027:0.172161:0.439027:0.155491:0.394196:0.155491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.398021:0.171606:0.413354:0.171606:0.413354:0.157891:0.398021:0.157891:0.000000 6:@0.430496:0.178739:0.434583:0.178739:0.434583:0.155458:0.430496:0.155458:0.000000 a.:@0.104633:0.206093:0.116119:0.206093:0.116119:0.190380:0.104633:0.190380:0.000000:0.000000 :@0.116031:0.206093:0.119842:0.206093:0.119842:0.189146:0.116031:0.189146:0.000000 Verifica:@0.134754:0.206093:0.190318:0.206093:0.190318:0.189423:0.134754:0.189423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que los puntos 1, :@0.190215:0.206093:0.346514:0.206093:0.346514:0.190380:0.190215:0.190380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.306549:0.210383:0.310635:0.210383:0.310635:0.187101:0.306549:0.187101:0.000000 2:@0.327242:0.205538:0.342575:0.205538:0.342575:0.191822:0.327242:0.191822:0.000000 6:@0.369630:0.202511:0.379430:0.202511:0.379430:0.185370:0.369630:0.185370:0.000000 5:@0.358583:0.216314:0.368382:0.216314:0.368382:0.199172:0.358583:0.199172:0.000000 6:@0.347257:0.202516:0.357056:0.202516:0.357056:0.185375:0.347257:0.185375:0.000000 2:@0.381531:0.211252:0.385618:0.211252:0.385618:0.187970:0.381531:0.187970:0.000000 , ( 5, 0),:@0.386250:0.206093:0.446273:0.206093:0.446273:0.190380:0.386250:0.190380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.398120:0.205538:0.413453:0.205538:0.413453:0.191822:0.398120:0.191822:0.000000 (0, 3) pertenecen a ( , 5, 3).:@0.133331:0.237033:0.347921:0.237029:0.347921:0.221316:0.133331:0.221320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.154095:0.236478:0.169428:0.236478:0.169428:0.222762:0.154095:0.222762:0.000000 E:@0.287658:0.237033:0.295775:0.237033:0.295775:0.221597:0.287658:0.221597:0.000000 b.:@0.104633:0.267966:0.117592:0.267966:0.117592:0.252254:0.104633:0.252254:0.000000:0.000000 Verifica:@0.117504:0.267966:0.190316:0.267966:0.190316:0.251297:0.117504:0.251297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que los puntos (2, 1), (1, 3), (0, 4) no pertenecen a ( , 5, 3).:@0.190216:0.267966:0.627456:0.267966:0.627456:0.252254:0.190216:0.252254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.410183:0.267412:0.425516:0.267412:0.425516:0.253696:0.410183:0.253696:0.000000 E:@0.567197:0.267966:0.575315:0.267966:0.575315:0.252531:0.567197:0.252531:0.000000 c.:@0.104633:0.298902:0.115401:0.298902:0.115401:0.283190:0.104633:0.283190:0.000000:0.000000 Escribe:@0.114945:0.298902:0.186786:0.298902:0.186786:0.282233:0.114945:0.282233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los vértices de esta elipse, :@0.186319:0.298902:0.369230:0.298902:0.369230:0.283190:0.186319:0.283190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtén:@0.368606:0.298902:0.412835:0.298902:0.412835:0.282233:0.368606:0.282233:0.000000:0.000000:0.000000:0.000000:0.000000 los focos y :@0.412379:0.298902:0.495480:0.298902:0.495480:0.283190:0.412379:0.283190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcula:@0.495322:0.298902:0.547948:0.298902:0.547948:0.282233:0.495322:0.282233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la excentricidad.:@0.547838:0.298902:0.669046:0.298902:0.669046:0.283190:0.547838:0.283190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d.:@0.104646:0.329842:0.117586:0.329842:0.117586:0.314130:0.104646:0.314130:0.000000:0.000000 Representa:@0.117485:0.329840:0.220425:0.329840:0.220425:0.313170:0.117485:0.313170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gráficamente ( , 5, 3).:@0.220322:0.329840:0.384776:0.329840:0.384776:0.314127:0.220322:0.314127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.324526:0.329840:0.332643:0.329840:0.332643:0.314405:0.324526:0.314405:0.000000 2. Considera la elipse::@0.073089:0.360776:0.248366:0.360776:0.248366:0.344106:0.073089:0.344106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.103214:0.393685:0.111332:0.393685:0.111332:0.378250:0.103214:0.378250:0.000000 ( , ) :@0.111258:0.393685:0.229151:0.393685:0.229151:0.377016:0.111258:0.377016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.115087:0.393131:0.130420:0.393131:0.130420:0.379415:0.115087:0.379415:0.000000 5:@0.134372:0.396855:0.138459:0.396855:0.138459:0.373573:0.134372:0.373573:0.000000 5:@0.155159:0.393131:0.170492:0.393131:0.170492:0.379415:0.155159:0.379415:0.000000 x y:@0.179383:0.393685:0.201803:0.393685:0.201803:0.378250:0.179383:0.378250:0.000000:0.000000:0.000000 [:@0.210700:0.393395:0.225337:0.393395:0.225337:0.379985:0.210700:0.379985:0.000000 R:@0.229077:0.392825:0.242367:0.392825:0.242367:0.379928:0.229077:0.379928:0.000000 2:@0.242270:0.387621:0.247776:0.387621:0.247776:0.377903:0.242270:0.377903:0.000000 | :@0.247731:0.393685:0.259787:0.393685:0.259787:0.377016:0.247731:0.377016:0.000000:0.000000:0.000000 5:@0.277515:0.402720:0.287315:0.402720:0.287315:0.385579:0.277515:0.385579:0.000000 x:@0.274845:0.385548:0.282977:0.385548:0.282977:0.368710:0.274845:0.368710:0.000000 :@0.298198:0.385548:0.303941:0.385548:0.303941:0.368407:0.298198:0.368407:0.000000 1 2 1 2:@0.259987:0.397908:0.360314:0.396427:0.360314:0.370749:0.259987:0.372229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.304097:0.393131:0.319430:0.393131:0.319430:0.379415:0.304097:0.379415:0.000000 :@0.319338:0.393685:0.323241:0.393685:0.323241:0.377016:0.319338:0.377016:0.000000 3:@0.341439:0.401609:0.351238:0.401609:0.351238:0.384468:0.341439:0.384468:0.000000 y:@0.338768:0.383091:0.346921:0.383091:0.346921:0.366253:0.338768:0.366253:0.000000 :@0.361518:0.384073:0.367261:0.384073:0.367261:0.366932:0.361518:0.366932:0.000000 5:@0.367746:0.393131:0.383079:0.393131:0.383079:0.379415:0.367746:0.379415:0.000000 1 .:@0.382987:0.393685:0.404929:0.393685:0.404929:0.377016:0.382987:0.377016:0.000000:0.000000:0.000000:0.000000 6:@0.396396:0.397916:0.400482:0.397916:0.400482:0.374634:0.396396:0.374634:0.000000 Obtén:@0.103210:0.424621:0.152225:0.424621:0.152225:0.407952:0.103210:0.407952:0.000000:0.000000:0.000000:0.000000:0.000000 las coordenadas de los focos y :@0.152320:0.424621:0.385305:0.424621:0.385305:0.408909:0.152320:0.408909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcula:@0.385025:0.424621:0.437651:0.424621:0.437651:0.407952:0.385025:0.407952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la excentricidad. :@0.437541:0.424621:0.562780:0.424621:0.562780:0.408909:0.437541:0.408909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Compara:@0.103210:0.455561:0.172837:0.455561:0.172837:0.438892:0.103210:0.438892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 su resultado con:@0.172734:0.455561:0.296699:0.455561:0.296699:0.439849:0.172734:0.439849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.111492:0.494052:0.116997:0.494052:0.116997:0.484334:0.111492:0.484334:0.000000 ( 2 , 0), ( 2 , 0), :@0.116952:0.490880:0.343728:0.490880:0.343728:0.474210:0.116952:0.474210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.120780:0.490325:0.160338:0.490325:0.160338:0.476610:0.120780:0.476610:0.000000:0.000000:0.000000 2:@0.226629:0.494052:0.232135:0.494052:0.232135:0.484334:0.226629:0.484334:0.000000 5:@0.235917:0.490325:0.251250:0.490325:0.251250:0.476610:0.235917:0.476610:0.000000 e:@0.313043:0.490880:0.320829:0.490880:0.320829:0.475445:0.313043:0.475445:0.000000 5:@0.324584:0.490325:0.339918:0.490325:0.339918:0.476610:0.324584:0.476610:0.000000 2:@0.354232:0.485814:0.364031:0.485814:0.364031:0.468673:0.354232:0.468673:0.000000 5:@0.353127:0.501352:0.362927:0.501352:0.362927:0.484211:0.353127:0.484211:0.000000 .:@0.368762:0.490880:0.372572:0.490880:0.372572:0.474210:0.368762:0.474210:0.000000 3. Obtén la elipse que pasa por los puntos:@0.073089:0.521817:0.414490:0.521817:0.414490:0.505148:0.073089:0.505148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.220395:0.521817:0.229046:0.521817:0.229046:0.505134:0.220395:0.505134:0.000000 1:@0.103430:0.561681:0.107517:0.561681:0.107517:0.538399:0.103430:0.538399:0.000000 2:@0.108152:0.557041:0.123485:0.557041:0.123485:0.543326:0.108152:0.543326:0.000000 3:@0.134961:0.551968:0.144761:0.551968:0.144761:0.534827:0.134961:0.534827:0.000000 2:@0.129413:0.565771:0.139213:0.565771:0.139213:0.548630:0.129413:0.548630:0.000000 , 2 , :@0.146181:0.557596:0.175685:0.557596:0.175685:0.540926:0.146181:0.540926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 1:@0.163323:0.564759:0.179908:0.563107:0.179908:0.539825:0.163323:0.541478:0.000000:0.000000:0.000000 3:@0.192112:0.553042:0.201912:0.553042:0.201912:0.535901:0.192112:0.535901:0.000000 2:@0.186565:0.566845:0.196364:0.566845:0.196364:0.549704:0.186565:0.549704:0.000000 , 2 .:@0.203332:0.557596:0.229007:0.557596:0.229007:0.540926:0.203332:0.540926:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.220475:0.562742:0.224561:0.562742:0.224561:0.539460:0.220475:0.539460:0.000000 Para el efecto, considera que :@0.103210:0.588533:0.322446:0.588533:0.322446:0.571864:0.103210:0.571864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( , ) :@0.111627:0.624480:0.189443:0.624480:0.189443:0.607810:0.111627:0.607810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.115451:0.623925:0.130785:0.623925:0.130785:0.610209:0.115451:0.610209:0.000000 x y:@0.139675:0.624480:0.162095:0.624480:0.162095:0.609044:0.139675:0.609044:0.000000:0.000000:0.000000 [:@0.170993:0.624190:0.185629:0.624190:0.185629:0.610780:0.170993:0.610780:0.000000 E:@0.189370:0.624480:0.197487:0.624480:0.197487:0.609044:0.189370:0.609044:0.000000 :@0.197414:0.624064:0.222272:0.624064:0.222272:0.607075:0.197414:0.607075:0.000000:0.000000:0.000000 a:@0.230182:0.629457:0.239441:0.629457:0.239441:0.614022:0.230182:0.614022:0.000000 ( ) ( ):@0.221336:0.631373:0.302837:0.633276:0.302837:0.600360:0.221336:0.598457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.232397:0.616894:0.244145:0.616894:0.244145:0.600055:0.232397:0.600055:0.000000:0.000000 :@0.247920:0.616985:0.253663:0.616985:0.253663:0.599844:0.247920:0.599844:0.000000 :@0.253762:0.624480:0.276729:0.624480:0.276729:0.607810:0.253762:0.607810:0.000000:0.000000:0.000000 1:@0.257585:0.623925:0.272918:0.623925:0.272918:0.610209:0.257585:0.610209:0.000000 b:@0.285256:0.633053:0.294515:0.633053:0.294515:0.617618:0.285256:0.617618:0.000000 y:@0.287112:0.616947:0.295265:0.616947:0.295265:0.600108:0.287112:0.600108:0.000000 :@0.302454:0.618883:0.308197:0.618883:0.308197:0.601742:0.302454:0.601742:0.000000 1.:@0.308210:0.624480:0.344283:0.624480:0.344283:0.607810:0.308210:0.607810:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.312034:0.623925:0.327367:0.623925:0.327367:0.610209:0.312034:0.610209:0.000000 Comprueba:@0.103204:0.655420:0.196545:0.655420:0.196545:0.638473:0.103204:0.638473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 : :@0.196455:0.655420:0.204167:0.655420:0.204167:0.638750:0.196455:0.638750:0.000000:0.000000 E:@0.103204:0.688551:0.111321:0.688551:0.111321:0.673116:0.103204:0.673116:0.000000 ( , ) :@0.111248:0.688551:0.229151:0.688551:0.229151:0.671881:0.111248:0.671881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.115076:0.687996:0.130410:0.687996:0.130410:0.674280:0.115076:0.674280:0.000000 5:@0.134372:0.692719:0.138459:0.692719:0.138459:0.669437:0.134372:0.669437:0.000000 5:@0.155159:0.687996:0.170492:0.687996:0.170492:0.674280:0.155159:0.674280:0.000000 x y:@0.179383:0.688551:0.201803:0.688551:0.201803:0.673116:0.179383:0.673116:0.000000:0.000000:0.000000 [:@0.210700:0.688261:0.225337:0.688261:0.225337:0.674851:0.210700:0.674851:0.000000 R:@0.229077:0.687691:0.242367:0.687691:0.242367:0.674794:0.229077:0.674794:0.000000 2:@0.242270:0.682487:0.247776:0.682487:0.247776:0.672769:0.242270:0.672769:0.000000 | :@0.247731:0.688551:0.295521:0.688551:0.295521:0.671881:0.247731:0.671881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.259695:0.688551:0.267150:0.688551:0.267150:0.673116:0.259695:0.673116:0.000000 2:@0.267088:0.682487:0.272594:0.682487:0.272594:0.672769:0.267088:0.672769:0.000000 1:@0.276377:0.687996:0.291711:0.687996:0.291711:0.674280:0.276377:0.674280:0.000000 y:@0.305370:0.681391:0.312844:0.681391:0.312844:0.665956:0.305370:0.665956:0.000000 4:@0.302481:0.698005:0.311463:0.698005:0.311463:0.682293:0.302481:0.682293:0.000000 ( ):@0.295024:0.697542:0.320665:0.697542:0.320665:0.664626:0.295024:0.664626:0.000000:0.000000:0.000000 ₂:@0.320336:0.677392:0.326079:0.677392:0.326079:0.660251:0.320336:0.660251:0.000000 1 .:@0.326863:0.688551:0.367870:0.688551:0.367870:0.671881:0.326863:0.671881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.330687:0.687996:0.346020:0.687996:0.346020:0.674280:0.330687:0.674280:0.000000 6:@0.359339:0.692973:0.363425:0.692973:0.363425:0.669691:0.359339:0.669691:0.000000 Obtén:@0.103210:0.719488:0.151488:0.719488:0.151488:0.702819:0.103210:0.702819:0.000000:0.000000:0.000000:0.000000:0.000000 los focos, calcula la excentricidad y :@0.151400:0.719488:0.409790:0.719488:0.409790:0.703776:0.151400:0.703776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 representa:@0.409470:0.719488:0.491001:0.719488:0.491001:0.702819:0.409470:0.702819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gráficamente esta elipse.:@0.490903:0.719488:0.673886:0.719488:0.673886:0.703776:0.490903:0.703776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. Sean , , :@0.073089:0.750424:0.190170:0.750424:0.190170:0.733755:0.073089:0.733755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b c:@0.144299:0.750424:0.186341:0.750424:0.186341:0.733741:0.144299:0.733741:0.000000:0.000000:0.000000:0.000000:0.000000 [ :@0.190096:0.750286:0.209571:0.750286:0.209571:0.736237:0.190096:0.736237:0.000000:0.000000 R:@0.209111:0.749565:0.222401:0.749565:0.222401:0.736667:0.209111:0.736667:0.000000 1:@0.221941:0.749870:0.237274:0.749870:0.237274:0.736154:0.221941:0.736154:0.000000 con > y, ,:@0.237182:0.750424:0.420931:0.750424:0.420931:0.733755:0.237182:0.733755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.273058:0.750424:0.282666:0.750424:0.282666:0.733741:0.273058:0.733741:0.000000 c:@0.301129:0.750424:0.308915:0.750424:0.308915:0.733741:0.301129:0.733741:0.000000 b:@0.328096:0.750424:0.337759:0.750424:0.337759:0.733741:0.328096:0.733741:0.000000 2:@0.337702:0.744361:0.343207:0.744361:0.343207:0.734642:0.337702:0.734642:0.000000 5:@0.346991:0.749870:0.362324:0.749870:0.362324:0.736154:0.346991:0.736154:0.000000 a:@0.366061:0.750424:0.375669:0.750424:0.375669:0.733741:0.366061:0.733741:0.000000 2:@0.375592:0.744361:0.381098:0.744361:0.381098:0.734642:0.375592:0.734642:0.000000 2:@0.384881:0.749870:0.400215:0.749870:0.400215:0.736154:0.384881:0.736154:0.000000 c:@0.403951:0.750424:0.411738:0.750424:0.411738:0.733741:0.403951:0.733741:0.000000 2:@0.411662:0.744361:0.417168:0.744361:0.417168:0.734642:0.411662:0.734642:0.000000 1:@0.111492:0.784534:0.116997:0.784534:0.116997:0.774816:0.111492:0.774816:0.000000 (0, :@0.116952:0.781362:0.162013:0.781362:0.162013:0.764692:0.116952:0.764692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.120780:0.780807:0.136114:0.780807:0.136114:0.767091:0.120780:0.767091:0.000000 2:@0.161921:0.780807:0.177254:0.780807:0.177254:0.767091:0.161921:0.767091:0.000000 c:@0.177162:0.781362:0.184948:0.781362:0.184948:0.764678:0.177162:0.764678:0.000000 ), (0, ).:@0.184874:0.781362:0.272967:0.781362:0.272967:0.764692:0.184874:0.764692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.205861:0.784534:0.211366:0.784534:0.211366:0.774816:0.205861:0.774816:0.000000 5:@0.215150:0.780807:0.230483:0.780807:0.230483:0.767091:0.215150:0.767091:0.000000 c:@0.256290:0.781362:0.264076:0.781362:0.264076:0.764678:0.256290:0.764678:0.000000 La elipse de centro y de eje transverso el eje se denota con y se define como el conjunto:@0.103215:0.812302:0.776704:0.812298:0.776704:0.796585:0.103215:0.796589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.239668:0.812302:0.254797:0.812298:0.254797:0.795628:0.239668:0.795632:0.000000:0.000000:0.000000 :@0.431649:0.812298:0.446780:0.812298:0.446780:0.795628:0.431649:0.795628:0.000000:0.000000:0.000000 y:@0.435478:0.812298:0.442951:0.812298:0.442951:0.796863:0.435478:0.796863:0.000000 :@0.550026:0.812298:0.565801:0.812298:0.565801:0.795628:0.550026:0.795628:0.000000:0.000000:0.000000 E:@0.553855:0.812298:0.561973:0.812298:0.561973:0.796863:0.553855:0.796863:0.000000 E:@0.103209:0.845776:0.111326:0.845776:0.111326:0.830341:0.103209:0.830341:0.000000 :@0.111253:0.845776:0.169786:0.845776:0.169786:0.829106:0.111253:0.829106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.115081:0.845221:0.130415:0.845221:0.130415:0.831505:0.115081:0.831505:0.000000 5:@0.134372:0.848213:0.138459:0.848213:0.138459:0.824931:0.134372:0.824931:0.000000 [:@0.151335:0.845486:0.165972:0.845486:0.165972:0.832076:0.151335:0.832076:0.000000 R:@0.169712:0.844916:0.183002:0.844916:0.183002:0.832019:0.169712:0.832019:0.000000 2:@0.182905:0.839712:0.188411:0.839712:0.188411:0.829994:0.182905:0.829994:0.000000 | :@0.188366:0.845776:0.240363:0.845776:0.240363:0.829106:0.188366:0.829106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ||:@0.200335:0.846816:0.209060:0.846816:0.209060:0.825146:0.200335:0.825146:0.000000:0.000000 2:@0.221219:0.845221:0.236552:0.845221:0.236552:0.831505:0.221219:0.831505:0.000000 1:@0.248567:0.848948:0.254073:0.848948:0.254073:0.839230:0.248567:0.839230:0.000000 || ||:@0.254026:0.846816:0.294284:0.846816:0.294284:0.825146:0.254026:0.825146:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.262669:0.845776:0.325587:0.845776:0.325587:0.829106:0.262669:0.829106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.266498:0.845221:0.281831:0.845221:0.281831:0.831505:0.266498:0.831505:0.000000 2:@0.306443:0.845221:0.321776:0.845221:0.321776:0.831505:0.306443:0.831505:0.000000 2:@0.333791:0.848948:0.339297:0.848948:0.339297:0.839230:0.333791:0.839230:0.000000 ||:@0.339250:0.846816:0.347975:0.846816:0.347975:0.825146:0.339250:0.825146:0.000000:0.000000 2 .:@0.347893:0.845776:0.401351:0.845776:0.401351:0.829106:0.347893:0.829106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.351722:0.845221:0.367055:0.845221:0.367055:0.831505:0.351722:0.831505:0.000000 a :@0.380161:0.845776:0.392659:0.845776:0.392659:0.830341:0.380161:0.830341:0.000000:0.000000 6:@0.392808:0.849847:0.396895:0.849847:0.396895:0.826565:0.392808:0.826565:0.000000 Los puntos fijos:@0.103210:0.880287:0.220740:0.880287:0.220740:0.864575:0.103210:0.864575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.220832:0.880287:0.263807:0.880287:0.263807:0.863618:0.220832:0.863618:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.234208:0.883460:0.239445:0.883460:0.239445:0.874299:0.234208:0.874299:0.000000 5:@0.244442:0.879733:0.259776:0.879733:0.259776:0.866017:0.244442:0.866017:0.000000 (0,:@0.264838:0.880287:0.282122:0.880287:0.282122:0.864575:0.264838:0.864575:0.000000:0.000000:0.000000 :@0.282233:0.880287:0.286135:0.880287:0.286135:0.863618:0.282233:0.863618:0.000000 2:@0.287166:0.879733:0.302499:0.879733:0.302499:0.866017:0.287166:0.866017:0.000000 c),:@0.302628:0.880287:0.319139:0.880287:0.319139:0.864575:0.302628:0.864575:0.000000:0.000000:0.000000 :@0.319250:0.880287:0.362473:0.880287:0.362473:0.863618:0.319250:0.863618:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.332608:0.883460:0.338113:0.883460:0.338113:0.873741:0.332608:0.873741:0.000000 5:@0.343109:0.879733:0.358442:0.879733:0.358442:0.866017:0.343109:0.866017:0.000000 (0, c) se llaman focos de la elipse y la recta que pasa por:@0.363504:0.880287:0.783270:0.880287:0.783270:0.864575:0.363504:0.864575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.783226:0.880287:0.837521:0.880287:0.837521:0.863618:0.783226:0.863618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.796503:0.883460:0.801740:0.883460:0.801740:0.874299:0.796503:0.874299:0.000000 y:@0.806737:0.880287:0.814836:0.880287:0.814836:0.864575:0.806737:0.864575:0.000000 2:@0.828317:0.883460:0.833554:0.883460:0.833554:0.874299:0.828317:0.874299:0.000000 se llama eje :@0.838552:0.880287:0.930956:0.880287:0.930956:0.864575:0.838552:0.864575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 transverso. :@0.103219:0.896929:0.184711:0.896929:0.184711:0.881217:0.103219:0.881217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Obtén :@0.184560:0.896929:0.239856:0.896929:0.239856:0.880260:0.184560:0.880260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ::@0.232751:0.896929:0.235953:0.896929:0.235953:0.881217:0.232751:0.881217:0.000000 E:@0.103219:0.934914:0.111336:0.934914:0.111336:0.919479:0.103219:0.919479:0.000000 ( , , ) ( , ) :@0.111263:0.934914:0.276535:0.934911:0.276535:0.918242:0.111263:0.918245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.131379:0.934911:0.157388:0.934911:0.157388:0.919476:0.131379:0.919476:0.000000:0.000000:0.000000 5:@0.166297:0.934357:0.181630:0.934357:0.181630:0.920641:0.166297:0.920641:0.000000 5:@0.185581:0.939092:0.189668:0.939092:0.189668:0.915810:0.185581:0.915810:0.000000 5:@0.202543:0.934357:0.217876:0.934357:0.217876:0.920641:0.202543:0.920641:0.000000 x y:@0.226766:0.934911:0.249187:0.934911:0.249187:0.919476:0.226766:0.919476:0.000000:0.000000:0.000000 [:@0.258084:0.934621:0.272720:0.934621:0.272720:0.921212:0.258084:0.921212:0.000000 R:@0.276461:0.934052:0.289751:0.934052:0.289751:0.921154:0.276461:0.921154:0.000000 2:@0.289656:0.928847:0.295161:0.928847:0.295161:0.919129:0.289656:0.919129:0.000000 | :@0.295116:0.934911:0.307173:0.934911:0.307173:0.918242:0.295116:0.918242:0.000000:0.000000:0.000000 b:@0.315088:0.943948:0.324347:0.943948:0.324347:0.928513:0.315088:0.928513:0.000000 ( ) ( ):@0.306242:0.943343:0.387743:0.943455:0.387743:0.910538:0.306242:0.910427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.317303:0.928863:0.329051:0.928863:0.329051:0.912024:0.317303:0.912024:0.000000:0.000000 :@0.332826:0.928953:0.338569:0.928953:0.338569:0.911812:0.332826:0.911812:0.000000 :@0.338668:0.934911:0.361635:0.934911:0.361635:0.918242:0.338668:0.918242:0.000000:0.000000:0.000000 1:@0.342491:0.934357:0.357824:0.934357:0.357824:0.920641:0.342491:0.920641:0.000000 a:@0.370162:0.943231:0.379421:0.943231:0.379421:0.927796:0.370162:0.927796:0.000000 y:@0.372018:0.927126:0.380171:0.927126:0.380171:0.910287:0.372018:0.910287:0.000000 :@0.387360:0.929062:0.393103:0.929062:0.393103:0.911921:0.387360:0.911921:0.000000 1 .:@0.393116:0.934911:0.437948:0.934911:0.437948:0.918242:0.393116:0.918242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.396940:0.934357:0.412273:0.934357:0.412273:0.920641:0.396940:0.920641:0.000000 6:@0.429415:0.938616:0.433502:0.938616:0.433502:0.915334:0.429415:0.915334:0.000000 !:@0.161919:0.490476:0.169349:0.490476:0.169349:0.474427:0.161919:0.474427:0.000000 !:@0.259279:0.490208:0.266709:0.490208:0.266709:0.474159:0.259279:0.474159:0.000000 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