97:@0.921900:0.506059:0.940807:0.506059:0.940807:0.489435:0.921900:0.489435:0.000000:0.000000
Tema:@0.916251:0.135535:0.952383:0.135535:0.952383:0.113808:0.916251:0.113808:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115281:0.538716:0.272404:0.538716:0.272404:0.520279:0.115281:0.520279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.115281:0.561077:0.145263:0.561077:0.145263:0.544688:0.115281:0.544688:0.000000:0.000000:0.000000:0.000000
0,5,3, esta expresión denota a la hipérbola de :@0.170609:0.561077:0.534947:0.561077:0.534947:0.544688:0.170609:0.544688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.171343:0.550469:0.178898:0.550469:0.178898:0.533720:0.171343:0.533720:0.000000
(:@0.164171:0.566711:0.170307:0.566711:0.170307:0.541795:0.164171:0.541795:0.000000
):@0.206739:0.566711:0.212875:0.566711:0.212875:0.541795:0.206739:0.541795:0.000000
H:@0.150769:0.561077:0.161881:0.561077:0.161881:0.544716:0.150769:0.544716:0.000000
centro  (0,0) y valores en   = 5 y   = 3.:@0.115296:0.577673:0.396500:0.577673:0.396500:0.561284:0.115296:0.561284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.167096:0.577673:0.177010:0.577673:0.177010:0.561312:0.167096:0.561312:0.000000
a:@0.302482:0.577673:0.311751:0.577673:0.311751:0.561312:0.302482:0.561312:0.000000
b:@0.355977:0.577673:0.365246:0.577673:0.365246:0.561312:0.355977:0.561312:0.000000
Identificamos:@0.115296:0.601392:0.219449:0.601392:0.219449:0.584768:0.115296:0.584768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la hipérbola con eje   como :@0.219449:0.601392:0.534921:0.601392:0.534921:0.585003:0.219449:0.585003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.477159:0.601392:0.484623:0.601392:0.484623:0.585031:0.477159:0.585031:0.000000
principal, :@0.115296:0.617989:0.186314:0.617989:0.186314:0.601600:0.115296:0.601600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos:@0.186314:0.617989:0.274380:0.617989:0.274380:0.601365:0.186314:0.601365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los focos y las asíntotas.:@0.274380:0.617989:0.449936:0.617989:0.449936:0.601600:0.274380:0.601600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero la ecuación cartesiana de la hipérbola con eje   :@0.115296:0.641708:0.534891:0.641708:0.534891:0.625319:0.115296:0.625319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.523392:0.641708:0.530856:0.641708:0.530856:0.625346:0.523392:0.625346:0.000000
como principal es::@0.115296:0.658304:0.249281:0.658304:0.249281:0.641915:0.115296:0.641915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.923271:0.122704:0.945364:0.122704:0.945364:0.065673:0.923271:0.065673:0.000000
Ecuación cartesiana de la hipérbola:@0.115281:0.139523:0.633232:0.139523:0.633232:0.098786:0.115281:0.098786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M .5.2.16. Describir la hipérbola como lugares geométricos en el plano. :@0.124779:0.068332:0.456263:0.068332:0.456263:0.057902:0.124779:0.057902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. Escribir y reconocer las ecuaciones cartesianas de la hipérbola con centro en el origen y con centro fuera del origen para resolver y plantear problemas :@0.124779:0.078893:0.877215:0.078893:0.877215:0.068464:0.124779:0.068464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(por ejemplo, en física: órbitas planetarias, tiro parabólico, etc.), identificando la validez y pertinencia de los resultados obtenidos.:@0.124779:0.089454:0.722082:0.089454:0.722082:0.079025:0.124779:0.079025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La hipérbola:@0.447807:0.167079:0.547446:0.167079:0.547446:0.150178:0.447807:0.150178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.122394:0.218389:0.203973:0.218389:0.203973:0.201489:0.122394:0.201489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A la cónica en la que  >1, se la conoce como “hipérbola”.:@0.345239:0.196980:0.761147:0.196980:0.761147:0.180591:0.345239:0.180591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e :@0.500640:0.196980:0.511751:0.196980:0.511751:0.180619:0.500640:0.180619:0.000000:0.000000
La hipérbola es el lugar geométrico de los puntos cuya diferencia de dis-:@0.345239:0.220699:0.872913:0.220699:0.872913:0.204310:0.345239:0.204310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tancias a los puntos fijos:@0.345239:0.239799:0.523212:0.239799:0.523212:0.223410:0.345239:0.223410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,0:@0.552061:0.239801:0.565605:0.239801:0.565605:0.224132:0.552061:0.224132:0.000000:0.000000
,:@0.573732:0.239801:0.576938:0.239801:0.576938:0.224132:0.573732:0.224132:0.000000
,:@0.588916:0.239801:0.592123:0.239801:0.592123:0.224132:0.588916:0.224132:0.000000
– ,0 ,:@0.614829:0.239801:0.658344:0.239801:0.658344:0.224132:0.614829:0.224132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.536513:0.242933:0.513018:0.242933:0.513018:0.223000:0.536513:0.223000:0.000000
):@0.566145:0.242933:0.542650:0.242933:0.542650:0.223000:0.566145:0.223000:0.000000
(:@0.608025:0.242933:0.584530:0.242933:0.584530:0.223000:0.608025:0.223000:0.000000
):@0.647551:0.242933:0.624055:0.242933:0.624055:0.223000:0.647551:0.223000:0.000000
′:@0.602685:0.240322:0.607237:0.240322:0.607237:0.224749:0.602685:0.224749:0.000000
F c:@0.525842:0.239796:0.550994:0.239796:0.550994:0.224403:0.525842:0.224403:0.000000:0.000000:0.000000
yF:@0.579765:0.239796:0.601528:0.239796:0.601528:0.224403:0.579765:0.224403:0.000000:0.000000
c:@0.624728:0.239796:0.632394:0.239796:0.632394:0.224403:0.624728:0.224403:0.000000
 es constante e igual a 2 .:@0.659628:0.239801:0.847588:0.239801:0.847588:0.223412:0.659628:0.223412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.835113:0.239801:0.844382:0.239801:0.844382:0.223440:0.835113:0.223440:0.000000
Ecuación cartesiana de la :@0.122407:0.267434:0.325589:0.267434:0.325589:0.250534:0.122407:0.250534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipérbola con eje   como :@0.122407:0.284031:0.325109:0.284031:0.325109:0.267130:0.122407:0.267130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.264261:0.284031:0.272959:0.284031:0.272959:0.268375:0.264261:0.268375:0.000000
principal:@0.122407:0.300627:0.192875:0.300627:0.192875:0.283726:0.122407:0.283726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación con eje   como principal: :@0.345253:0.282246:0.603385:0.282246:0.603385:0.265858:0.345253:0.265858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.473712:0.282246:0.481175:0.282246:0.481175:0.265885:0.473712:0.265885:0.000000
⎛ ⎞:@0.605992:0.275299:0.636158:0.275299:0.636158:0.259726:0.605992:0.259726:0.000000:0.000000:0.000000
⎝ ⎠:@0.605992:0.292033:0.636158:0.292033:0.636158:0.276460:0.605992:0.276460:0.000000:0.000000:0.000000
⎜ ⎟:@0.605992:0.286225:0.636158:0.286225:0.636158:0.270652:0.605992:0.270652:0.000000:0.000000:0.000000
⎛ ⎞:@0.663947:0.275299:0.694113:0.275299:0.694113:0.259726:0.663947:0.259726:0.000000:0.000000:0.000000
⎝ ⎠:@0.663947:0.292033:0.694113:0.292033:0.694113:0.276460:0.663947:0.276460:0.000000:0.000000:0.000000
⎜ ⎟:@0.663947:0.286225:0.694113:0.286225:0.694113:0.270652:0.663947:0.270652:0.000000:0.000000:0.000000
=:@0.706570:0.283085:0.716687:0.283085:0.716687:0.267512:0.706570:0.267512:0.000000
–:@0.648099:0.282407:0.657313:0.282407:0.657313:0.266738:0.648099:0.266738:0.000000
.:@0.659414:0.282407:0.662620:0.282407:0.662620:0.266738:0.659414:0.266738:0.000000
1:@0.718824:0.282407:0.727817:0.282407:0.727817:0.266738:0.718824:0.266738:0.000000
2:@0.638555:0.264052:0.643767:0.264052:0.643767:0.254970:0.638555:0.254970:0.000000
2:@0.696508:0.264052:0.701720:0.264052:0.701720:0.254970:0.696508:0.254970:0.000000
x:@0.618452:0.273443:0.625916:0.273443:0.625916:0.258050:0.618452:0.258050:0.000000
a:@0.617568:0.292888:0.626837:0.292888:0.626837:0.277495:0.617568:0.277495:0.000000
y:@0.676407:0.273443:0.683889:0.273443:0.683889:0.258050:0.676407:0.258050:0.000000
b:@0.675302:0.292888:0.684571:0.292888:0.684571:0.277495:0.675302:0.277495:0.000000
Ecuación cartesiana de la :@0.122401:0.321063:0.325582:0.321063:0.325582:0.304162:0.122401:0.304162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipérbola con eje   como :@0.122401:0.337659:0.325103:0.337659:0.325103:0.320759:0.122401:0.320759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.264255:0.337659:0.272953:0.337659:0.272953:0.322004:0.264255:0.322004:0.000000
principal:@0.122401:0.354256:0.192868:0.354256:0.192868:0.337355:0.122401:0.337355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación con eje   como principal: :@0.345246:0.335101:0.603397:0.335101:0.603397:0.318712:0.345246:0.318712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.473705:0.335101:0.481187:0.335101:0.481187:0.318740:0.473705:0.318740:0.000000
⎛ ⎞:@0.606010:0.328923:0.636176:0.328923:0.636176:0.313350:0.606010:0.313350:0.000000:0.000000:0.000000
⎝ ⎠:@0.606010:0.345657:0.636176:0.345657:0.636176:0.330084:0.606010:0.330084:0.000000:0.000000:0.000000
⎜ ⎟:@0.606010:0.339848:0.636176:0.339848:0.636176:0.324276:0.606010:0.324276:0.000000:0.000000:0.000000
⎛ ⎞:@0.663965:0.328923:0.694131:0.328923:0.694131:0.313350:0.663965:0.313350:0.000000:0.000000:0.000000
⎝ ⎠:@0.663965:0.345657:0.694131:0.345657:0.694131:0.330084:0.663965:0.330084:0.000000:0.000000:0.000000
⎜ ⎟:@0.663965:0.339848:0.694131:0.339848:0.694131:0.324276:0.663965:0.324276:0.000000:0.000000:0.000000
=:@0.706588:0.336709:0.716705:0.336709:0.716705:0.321136:0.706588:0.321136:0.000000
–:@0.648118:0.336031:0.657331:0.336031:0.657331:0.320362:0.648118:0.320362:0.000000
.:@0.659432:0.336031:0.662639:0.336031:0.662639:0.320362:0.659432:0.320362:0.000000
–1:@0.720372:0.336031:0.738579:0.336031:0.738579:0.320362:0.720372:0.320362:0.000000:0.000000
2:@0.638574:0.317676:0.643785:0.317676:0.643785:0.308594:0.638574:0.308594:0.000000
2:@0.696527:0.317676:0.701738:0.317676:0.701738:0.308594:0.696527:0.308594:0.000000
x:@0.618471:0.327067:0.625934:0.327067:0.625934:0.311674:0.618471:0.311674:0.000000
b:@0.617365:0.346512:0.626634:0.346512:0.626634:0.331119:0.617365:0.331119:0.000000
y:@0.676426:0.327067:0.683907:0.327067:0.683907:0.311674:0.676426:0.311674:0.000000
a:@0.675541:0.346512:0.684810:0.346512:0.684810:0.331119:0.675541:0.331119:0.000000
Asíntotas de la hipérbola:@0.122401:0.412918:0.320295:0.412918:0.320295:0.396017:0.122401:0.396017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.403092:0.390915:0.406298:0.390915:0.406298:0.375245:0.403092:0.375245:0.000000
,:@0.405344:0.433428:0.408550:0.433428:0.408550:0.417758:0.405344:0.417758:0.000000
–:@0.497279:0.433428:0.506493:0.433428:0.506493:0.417758:0.497279:0.417758:0.000000
1:@0.356081:0.392919:0.361293:0.392919:0.361293:0.383838:0.356081:0.383838:0.000000
2:@0.458008:0.383252:0.463220:0.383252:0.463220:0.374171:0.458008:0.374171:0.000000
2:@0.356765:0.435432:0.361977:0.435432:0.361977:0.426351:0.356765:0.426351:0.000000
2:@0.460261:0.425765:0.465473:0.425765:0.465473:0.416684:0.460261:0.416684:0.000000
:@0.443926:0.391786:0.457231:0.391786:0.457231:0.375038:0.443926:0.375038:0.000000
:@0.446174:0.434301:0.459479:0.434301:0.459479:0.417552:0.446174:0.417552:0.000000
(:@0.386026:0.394048:0.359914:0.394048:0.359914:0.374115:0.386026:0.374115:0.000000
):@0.418275:0.394048:0.392163:0.394048:0.392163:0.374115:0.418275:0.374115:0.000000
(:@0.388274:0.436570:0.362163:0.436570:0.362163:0.416637:0.388274:0.416637:0.000000
):@0.420523:0.436570:0.394411:0.436570:0.394411:0.416637:0.420523:0.416637:0.000000
=⎨:@0.364196:0.391593:0.385959:0.391855:0.385959:0.376283:0.364196:0.376020:0.000000:0.000000
∈:@0.427440:0.391593:0.440579:0.391593:0.440579:0.376020:0.427440:0.376020:0.000000
=:@0.481986:0.391593:0.492103:0.391593:0.492103:0.376020:0.481986:0.376020:0.000000
⎧:@0.376856:0.380860:0.385959:0.380860:0.385959:0.365287:0.376856:0.365287:0.000000
⎩:@0.376856:0.403210:0.385959:0.403210:0.385959:0.387637:0.376856:0.387637:0.000000
⎫:@0.519246:0.380860:0.528350:0.380860:0.528350:0.365287:0.519246:0.365287:0.000000
⎬:@0.519246:0.391855:0.528350:0.391855:0.528350:0.376283:0.519246:0.376283:0.000000
⎭:@0.519246:0.403210:0.528350:0.403210:0.528350:0.387637:0.519246:0.387637:0.000000
=⎨:@0.366426:0.434093:0.388189:0.434356:0.388189:0.418783:0.366426:0.418520:0.000000:0.000000
∈:@0.429670:0.434093:0.442809:0.434093:0.442809:0.418520:0.429670:0.418520:0.000000
=:@0.484215:0.434093:0.494332:0.434093:0.494332:0.418520:0.484215:0.418520:0.000000
⎧:@0.379086:0.423361:0.388189:0.423361:0.388189:0.407788:0.379086:0.407788:0.000000
⎩:@0.379086:0.445711:0.388189:0.445711:0.388189:0.430138:0.379086:0.430138:0.000000
⎫:@0.532533:0.423361:0.541636:0.423361:0.541636:0.407788:0.532533:0.407788:0.000000
⎬:@0.532533:0.434356:0.541636:0.434356:0.541636:0.418783:0.532533:0.418783:0.000000
⎭:@0.532533:0.445711:0.541636:0.445711:0.541636:0.430138:0.532533:0.430138:0.000000
R:@0.348201:0.390887:0.357157:0.390887:0.357157:0.375494:0.348201:0.375494:0.000000
xy:@0.393903:0.390887:0.416569:0.390887:0.416569:0.375494:0.393903:0.375494:0.000000:0.000000
y:@0.470443:0.390887:0.477924:0.390887:0.477924:0.375494:0.470443:0.375494:0.000000
b:@0.496249:0.382368:0.505518:0.382368:0.505518:0.366975:0.496249:0.366975:0.000000
a:@0.496451:0.401813:0.505721:0.401813:0.505721:0.386420:0.496451:0.386420:0.000000
x:@0.510069:0.390887:0.517533:0.390887:0.517533:0.375494:0.510069:0.375494:0.000000
R:@0.348201:0.433402:0.357157:0.433402:0.357157:0.418009:0.348201:0.418009:0.000000
xy:@0.396155:0.433402:0.418821:0.433402:0.418821:0.418009:0.396155:0.418009:0.000000:0.000000
y:@0.472695:0.433402:0.480176:0.433402:0.480176:0.418009:0.472695:0.418009:0.000000
b:@0.509553:0.424882:0.518823:0.424882:0.518823:0.409489:0.509553:0.409489:0.000000
a:@0.509756:0.444328:0.519025:0.444328:0.519025:0.428935:0.509756:0.428935:0.000000
x:@0.523374:0.433402:0.530837:0.433402:0.530837:0.418009:0.523374:0.418009:0.000000
Focos de la hipérbola:@0.122401:0.488171:0.290977:0.488171:0.290977:0.471270:0.122401:0.471270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,0:@0.374090:0.482226:0.387635:0.482226:0.387635:0.466557:0.374090:0.466557:0.000000:0.000000
,:@0.395761:0.482226:0.398968:0.482226:0.398968:0.466557:0.395761:0.466557:0.000000
,:@0.410946:0.482226:0.414152:0.482226:0.414152:0.466557:0.410946:0.466557:0.000000
– ,0 ,:@0.436855:0.482226:0.480370:0.482226:0.480370:0.466557:0.436855:0.466557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.358541:0.485358:0.335045:0.485358:0.335045:0.465425:0.358541:0.465425:0.000000
):@0.388172:0.485358:0.364677:0.485358:0.364677:0.465425:0.388172:0.465425:0.000000
(:@0.430053:0.485358:0.406558:0.485358:0.406558:0.465425:0.430053:0.465425:0.000000
):@0.469578:0.485358:0.446083:0.485358:0.446083:0.465425:0.469578:0.465425:0.000000
′:@0.424713:0.482747:0.429264:0.482747:0.429264:0.467174:0.424713:0.467174:0.000000
F c:@0.347869:0.482221:0.373021:0.482221:0.373021:0.466828:0.347869:0.466828:0.000000:0.000000:0.000000
yF:@0.401792:0.482221:0.423555:0.482221:0.423555:0.466828:0.401792:0.466828:0.000000:0.000000
c:@0.446756:0.482221:0.454422:0.482221:0.454422:0.466828:0.446756:0.466828:0.000000
 para hallar los focos se utiliza la siguiente ecuación: :@0.482957:0.483484:0.876902:0.483484:0.876902:0.467095:0.482957:0.467095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.872849:0.483484:0.876885:0.483484:0.876885:0.467095:0.872849:0.467095:0.000000
c:@0.345248:0.500080:0.352914:0.500080:0.352914:0.483719:0.345248:0.483719:0.000000
2:@0.352910:0.494033:0.358153:0.494033:0.358153:0.484478:0.352910:0.484478:0.000000
 =   + :@0.358152:0.500080:0.410773:0.500080:0.410773:0.483691:0.358152:0.483691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.377206:0.500080:0.386475:0.500080:0.386475:0.483719:0.377206:0.483719:0.000000
2:@0.386475:0.494033:0.391718:0.494033:0.391718:0.484478:0.386475:0.484478:0.000000
a:@0.410773:0.500080:0.420042:0.500080:0.420042:0.483719:0.410773:0.483719:0.000000
2:@0.420040:0.494033:0.425283:0.494033:0.425283:0.484478:0.420040:0.484478:0.000000
Para conocer más :@0.720153:0.565247:0.846633:0.565247:0.846633:0.550348:0.720153:0.550348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre la hipérbola, :@0.720153:0.580335:0.846633:0.580335:0.846633:0.565436:0.720153:0.565436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visita :@0.720153:0.595423:0.759856:0.595423:0.759856:0.580310:0.720153:0.580310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el siguiente :@0.762905:0.595423:0.846633:0.595423:0.846633:0.580524:0.762905:0.580524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.720153:0.610510:0.766926:0.610510:0.766926:0.595611:0.720153:0.595611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.659766:0.545814:0.679734:0.545814:0.679734:0.524088:0.659766:0.524088:0.000000:0.000000:0.000000
www.mayedu.ec/ctm12/p97:@0.635614:0.646441:0.825902:0.646441:0.825902:0.631316:0.635614:0.631316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.130882:0.701781:0.093677:0.701781:0.093677:0.676242:0.130882:0.676242:0.000000
):@0.176900:0.701781:0.139694:0.701781:0.139694:0.676242:0.176900:0.676242:0.000000
(:@0.518655:0.701781:0.481450:0.701781:0.481450:0.676242:0.518655:0.676242:0.000000
):@0.561997:0.701781:0.524791:0.701781:0.524791:0.676242:0.561997:0.676242:0.000000
(:@0.208572:0.699435:0.181667:0.699435:0.181667:0.679034:0.208572:0.679034:0.000000
):@0.241612:0.699435:0.214708:0.699435:0.214708:0.679034:0.241612:0.679034:0.000000
(:@0.593672:0.699435:0.566768:0.699435:0.566768:0.679034:0.593672:0.679034:0.000000
):@0.626713:0.699435:0.599809:0.699435:0.599809:0.679034:0.626713:0.679034:0.000000
= ⎨:@0.185694:0.697563:0.208932:0.699735:0.208932:0.684162:0.185694:0.681990:0.000000:0.000000:0.000000
∈:@0.250025:0.697563:0.263164:0.697563:0.263164:0.681990:0.250025:0.681990:0.000000
⎛ ⎞:@0.288134:0.689791:0.318300:0.689791:0.318300:0.674218:0.288134:0.674218:0.000000:0.000000:0.000000
⎝ ⎠:@0.288134:0.706525:0.318300:0.706525:0.318300:0.690952:0.288134:0.690952:0.000000:0.000000:0.000000
⎜ ⎟:@0.288134:0.700716:0.318300:0.700716:0.318300:0.685144:0.288134:0.685144:0.000000:0.000000:0.000000
⎛ ⎞:@0.341961:0.689791:0.372127:0.689791:0.372127:0.674218:0.341961:0.674218:0.000000:0.000000:0.000000
⎝ ⎠:@0.341961:0.706525:0.372127:0.706525:0.372127:0.690952:0.341961:0.690952:0.000000:0.000000:0.000000
⎜ ⎟:@0.341961:0.700716:0.372127:0.700716:0.372127:0.685144:0.341961:0.685144:0.000000:0.000000:0.000000
= ⎬:@0.384584:0.697577:0.413110:0.699721:0.413110:0.684148:0.384584:0.682004:0.000000:0.000000:0.000000
⎧:@0.199828:0.685116:0.208932:0.685116:0.208932:0.669543:0.199828:0.669543:0.000000
⎪:@0.199828:0.689251:0.208932:0.689251:0.208932:0.673678:0.199828:0.673678:0.000000
⎩ ⎪:@0.199828:0.714334:0.208932:0.712016:0.208932:0.696443:0.199828:0.698761:0.000000:0.000000:0.000000
⎫:@0.404007:0.685102:0.413110:0.685102:0.413110:0.669529:0.404007:0.669529:0.000000
⎪:@0.404007:0.689237:0.413110:0.689237:0.413110:0.673664:0.404007:0.673664:0.000000
⎭ ⎪:@0.403997:0.714334:0.413100:0.712016:0.413100:0.696443:0.403997:0.698761:0.000000:0.000000:0.000000
= ⎨:@0.570785:0.697549:0.594022:0.699721:0.594022:0.684148:0.570785:0.681976:0.000000:0.000000:0.000000
∈:@0.635116:0.697549:0.648255:0.697549:0.648255:0.681976:0.635116:0.681976:0.000000
⎛ ⎞:@0.673224:0.689777:0.703390:0.689777:0.703390:0.674204:0.673224:0.674204:0.000000:0.000000:0.000000
⎝ ⎠:@0.673224:0.706511:0.703390:0.706511:0.703390:0.690938:0.673224:0.690938:0.000000:0.000000:0.000000
⎜ ⎟:@0.673224:0.700703:0.703390:0.700703:0.703390:0.685130:0.673224:0.685130:0.000000:0.000000:0.000000
⎛ ⎞:@0.727052:0.689777:0.757218:0.689777:0.757218:0.674204:0.727052:0.674204:0.000000:0.000000:0.000000
⎝ ⎠:@0.727052:0.706511:0.757218:0.706511:0.757218:0.690938:0.727052:0.690938:0.000000:0.000000:0.000000
⎜ ⎟:@0.727052:0.700703:0.757218:0.700703:0.757218:0.685130:0.727052:0.685130:0.000000:0.000000:0.000000
= ⎬:@0.769675:0.697563:0.798202:0.699714:0.798202:0.684141:0.769675:0.681990:0.000000:0.000000:0.000000
⎧:@0.584919:0.685102:0.594022:0.685102:0.594022:0.669529:0.584919:0.669529:0.000000
⎪:@0.584919:0.689237:0.594022:0.689237:0.594022:0.673664:0.584919:0.673664:0.000000
⎩ ⎪:@0.584921:0.714327:0.594024:0.712010:0.594024:0.696437:0.584921:0.698754:0.000000:0.000000:0.000000
⎫:@0.789099:0.685096:0.798202:0.685096:0.798202:0.669523:0.789099:0.669523:0.000000
⎪:@0.789099:0.689231:0.798202:0.689231:0.798202:0.673658:0.789099:0.673658:0.000000
⎭ ⎪:@0.789091:0.714327:0.798194:0.712010:0.798194:0.696437:0.789091:0.698754:0.000000:0.000000:0.000000
0, ,:@0.137729:0.696865:0.165278:0.696865:0.165278:0.681196:0.137729:0.681196:0.000000:0.000000:0.000000:0.000000
,:@0.226045:0.696865:0.229252:0.696865:0.229252:0.681196:0.226045:0.681196:0.000000
–:@0.330224:0.696865:0.339438:0.696865:0.339438:0.681196:0.330224:0.681196:0.000000
1 por lo tanto,:@0.396814:0.696865:0.502779:0.696865:0.502779:0.681196:0.396814:0.681196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.414309:0.696865:0.417516:0.696865:0.417516:0.681196:0.414309:0.681196:0.000000
, ,:@0.442209:0.696865:0.461853:0.696865:0.461853:0.681196:0.442209:0.681196:0.000000:0.000000:0.000000
,:@0.502633:0.696865:0.505839:0.696865:0.505839:0.681196:0.502633:0.681196:0.000000
0,5,3:@0.525502:0.696865:0.561867:0.696865:0.561867:0.681196:0.525502:0.681196:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.611141:0.696865:0.614347:0.696865:0.614347:0.681196:0.611141:0.681196:0.000000
5:@0.685177:0.707349:0.694170:0.707349:0.694170:0.691679:0.685177:0.691679:0.000000
–:@0.715325:0.696865:0.724539:0.696865:0.724539:0.681196:0.715325:0.681196:0.000000
3:@0.738986:0.707349:0.747979:0.707349:0.747979:0.691679:0.738986:0.691679:0.000000
1.:@0.781921:0.696872:0.801822:0.696872:0.801822:0.681202:0.781921:0.681202:0.000000:0.000000
2:@0.277151:0.689224:0.282362:0.689224:0.282362:0.680143:0.277151:0.680143:0.000000
2:@0.320703:0.677434:0.325914:0.677434:0.325914:0.668353:0.320703:0.668353:0.000000
2:@0.374517:0.678532:0.379729:0.678532:0.379729:0.669451:0.374517:0.669451:0.000000
2:@0.662238:0.689216:0.667450:0.689216:0.667450:0.680135:0.662238:0.680135:0.000000
2:@0.705803:0.678537:0.711014:0.678537:0.711014:0.669456:0.705803:0.669456:0.000000
2:@0.759618:0.678537:0.764829:0.678537:0.764829:0.669456:0.759618:0.669456:0.000000
:@0.138473:0.686284:0.146028:0.686284:0.146028:0.669535:0.138473:0.669535:0.000000
:@0.263062:0.697749:0.276367:0.697749:0.276367:0.681001:0.263062:0.681001:0.000000
:@0.526227:0.686284:0.533782:0.686284:0.533782:0.669535:0.526227:0.669535:0.000000
:@0.648144:0.697749:0.661449:0.697749:0.661449:0.681001:0.648144:0.681001:0.000000
H:@0.117871:0.696878:0.128983:0.696878:0.128983:0.681485:0.117871:0.681485:0.000000
ab:@0.152161:0.696878:0.175877:0.696878:0.175877:0.681485:0.152161:0.681485:0.000000:0.000000
x y:@0.216866:0.696878:0.239530:0.696878:0.239530:0.681485:0.216866:0.681485:0.000000:0.000000:0.000000
x:@0.300581:0.687916:0.308044:0.687916:0.308044:0.672523:0.300581:0.672523:0.000000
a:@0.299696:0.707361:0.308965:0.707361:0.308965:0.691968:0.299696:0.691968:0.000000
y:@0.354408:0.687916:0.361889:0.687916:0.361889:0.672523:0.354408:0.672523:0.000000
b:@0.353302:0.707361:0.362571:0.707361:0.362571:0.691968:0.353302:0.691968:0.000000
H:@0.505643:0.696878:0.516755:0.696878:0.516755:0.681485:0.505643:0.681485:0.000000
xy:@0.601970:0.696878:0.624636:0.696878:0.624636:0.681485:0.601970:0.681485:0.000000:0.000000
x:@0.685681:0.687916:0.693145:0.687916:0.693145:0.672523:0.685681:0.672523:0.000000
y:@0.739499:0.687916:0.746981:0.687916:0.746981:0.672523:0.739499:0.672523:0.000000
Conocemos:@0.115281:0.744756:0.206388:0.744756:0.206388:0.728132:0.115281:0.728132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que:   = 5,   = 3 y como   =   +  ;  :@0.206388:0.744756:0.482696:0.744756:0.482696:0.728367:0.206388:0.728367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.246376:0.744756:0.255645:0.744756:0.255645:0.728395:0.246376:0.728395:0.000000
b:@0.290934:0.744756:0.300203:0.744756:0.300203:0.728395:0.290934:0.728395:0.000000
c:@0.391383:0.744756:0.399049:0.744756:0.399049:0.728395:0.391383:0.728395:0.000000
2:@0.399045:0.738709:0.404287:0.738709:0.404287:0.729154:0.399045:0.729154:0.000000
b:@0.423341:0.744756:0.432610:0.744756:0.432610:0.728395:0.423341:0.728395:0.000000
2:@0.432610:0.738709:0.437852:0.738709:0.437852:0.729154:0.432610:0.729154:0.000000
a:@0.456906:0.744756:0.466175:0.744756:0.466175:0.728395:0.456906:0.728395:0.000000
2:@0.466175:0.738709:0.471417:0.738709:0.471417:0.729154:0.466175:0.729154:0.000000
c:@0.115286:0.768475:0.122952:0.768475:0.122952:0.752114:0.115286:0.752114:0.000000
2:@0.122947:0.762434:0.128189:0.762434:0.128189:0.752879:0.122947:0.752879:0.000000
 = 3  + 5 ;   = 6 por lo tanto, los focos serán los  :@0.128190:0.768481:0.475269:0.768481:0.475269:0.752092:0.128190:0.752092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.156235:0.762434:0.161478:0.762434:0.161478:0.752879:0.156235:0.752879:0.000000
2:@0.189524:0.762434:0.194767:0.762434:0.194767:0.752879:0.189524:0.752879:0.000000
c:@0.202010:0.768481:0.209676:0.768481:0.209676:0.752120:0.202010:0.752120:0.000000
siguientes::@0.115289:0.785078:0.193089:0.785078:0.193089:0.768689:0.115289:0.768689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–6,0:@0.151037:0.811316:0.183322:0.811316:0.183322:0.794927:0.151037:0.794927:0.000000:0.000000:0.000000:0.000000
,:@0.191449:0.811316:0.194655:0.811316:0.194655:0.794927:0.191449:0.794927:0.000000
,:@0.206633:0.811316:0.209840:0.811316:0.209840:0.794927:0.206633:0.794927:0.000000
6,0. Por último, :@0.246584:0.811316:0.360923:0.811316:0.360923:0.794927:0.246584:0.794927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.123448:0.813320:0.128659:0.813320:0.128659:0.803822:0.123448:0.803822:0.000000
2:@0.217418:0.813320:0.222629:0.813320:0.222629:0.803822:0.217418:0.803822:0.000000
:@0.120151:0.800400:0.034407:0.800400:0.034407:0.783652:0.120151:0.783652:0.000000
:@0.213450:0.800400:0.127706:0.800400:0.127706:0.783652:0.213450:0.783652:0.000000
(:@0.144232:0.814448:0.150369:0.814448:0.150369:0.794515:0.144232:0.794515:0.000000
):@0.183870:0.814448:0.190007:0.814448:0.190007:0.794515:0.183870:0.794515:0.000000
(:@0.239780:0.814448:0.245916:0.814448:0.245916:0.794515:0.239780:0.794515:0.000000
):@0.270204:0.814448:0.276340:0.814448:0.276340:0.794515:0.270204:0.794515:0.000000
=:@0.131562:0.811994:0.141679:0.811994:0.141679:0.796421:0.131562:0.796421:0.000000
=:@0.227110:0.811994:0.237227:0.811994:0.237227:0.796421:0.227110:0.796421:0.000000
F:@0.117899:0.811316:0.125952:0.811316:0.125952:0.794955:0.117899:0.794955:0.000000
y F:@0.197469:0.811316:0.219232:0.811316:0.219232:0.794955:0.197469:0.794955:0.000000:0.000000:0.000000
calculamos:@0.360370:0.811316:0.441304:0.811316:0.441304:0.794692:0.360370:0.794692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las asíntotas::@0.440751:0.811316:0.528725:0.811316:0.528725:0.794927:0.440751:0.794927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.133814:0.844300:0.137020:0.844300:0.137020:0.828631:0.133814:0.828631:0.000000
3:@0.240768:0.835781:0.249761:0.835781:0.249761:0.820111:0.240768:0.820111:0.000000
5:@0.240768:0.855222:0.249761:0.855222:0.249761:0.839553:0.240768:0.839553:0.000000
,,:@0.262389:0.844299:0.280779:0.844299:0.280779:0.828629:0.262389:0.828629:0.000000:0.000000
::@0.300294:0.844299:0.303501:0.844299:0.303501:0.828629:0.300294:0.828629:0.000000
–:@0.332432:0.844299:0.341646:0.844299:0.341646:0.828629:0.332432:0.828629:0.000000
–:@0.417188:0.844299:0.426402:0.844299:0.426402:0.828629:0.417188:0.828629:0.000000
3:@0.429343:0.835780:0.438336:0.835780:0.438336:0.820110:0.429343:0.820110:0.000000
5:@0.429336:0.855221:0.438329:0.855221:0.438329:0.839551:0.429336:0.839551:0.000000
.:@0.450171:0.844298:0.453378:0.844298:0.453378:0.828628:0.450171:0.828628:0.000000
1:@0.126118:0.846304:0.131330:0.846304:0.131330:0.837223:0.126118:0.837223:0.000000
2:@0.291022:0.846304:0.296234:0.846304:0.296234:0.837223:0.291022:0.837223:0.000000
=:@0.152922:0.844978:0.163039:0.844978:0.163039:0.829405:0.152922:0.829405:0.000000
⇒ =:@0.192560:0.844978:0.143966:0.844978:0.143966:0.829405:0.192560:0.829405:0.000000:0.000000:0.000000
=:@0.319403:0.844978:0.236736:0.844978:0.236736:0.829405:0.319403:0.829405:0.000000
⇒ =:@0.370073:0.844978:0.414262:0.844978:0.414262:0.829405:0.370073:0.829405:0.000000:0.000000:0.000000
Ry:@0.118259:0.844300:0.148886:0.844300:0.148886:0.828907:0.118259:0.828907:0.000000:0.000000
b:@0.167203:0.835781:0.176472:0.835781:0.176472:0.820388:0.167203:0.820388:0.000000
a:@0.167423:0.855222:0.176692:0.855222:0.176692:0.839829:0.167423:0.839829:0.000000
x:@0.181032:0.844299:0.188495:0.844299:0.188495:0.828906:0.181032:0.828906:0.000000
y:@0.215112:0.844299:0.222594:0.844299:0.222594:0.828906:0.215112:0.828906:0.000000
x yR y:@0.253224:0.844299:0.315357:0.844299:0.315357:0.828906:0.253224:0.828906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.344743:0.835780:0.354012:0.835780:0.354012:0.820386:0.344743:0.820386:0.000000
a:@0.344944:0.855221:0.354214:0.855221:0.354214:0.839828:0.344944:0.839828:0.000000
x:@0.358562:0.844295:0.366026:0.844295:0.366026:0.828902:0.358562:0.828902:0.000000
y:@0.392635:0.844295:0.400117:0.844295:0.400117:0.828902:0.392635:0.828902:0.000000
x:@0.441793:0.844295:0.449256:0.844295:0.449256:0.828902:0.441793:0.828902:0.000000
0:@0.703060:0.828560:0.708783:0.828560:0.708783:0.818131:0.703060:0.818131:0.000000
y:@0.720709:0.729477:0.725869:0.729477:0.725869:0.719048:0.720709:0.719048:0.000000
x:@0.869943:0.813853:0.874974:0.813853:0.874974:0.803424:0.869943:0.803424:0.000000
5:@0.704397:0.783322:0.710120:0.783322:0.710120:0.772893:0.704397:0.772893:0.000000
(5, 0):@0.764051:0.817444:0.786320:0.817444:0.786320:0.807015:0.764051:0.807015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–5, 0):@0.631575:0.817444:0.659707:0.817444:0.659707:0.807015:0.631575:0.807015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.699437:0.746842:0.710882:0.746842:0.710882:0.736413:0.699437:0.736413:0.000000:0.000000
–5:@0.658464:0.828569:0.670050:0.828569:0.670050:0.818140:0.658464:0.818140:0.000000:0.000000
15:@0.851356:0.828569:0.862801:0.828569:0.862801:0.818140:0.851356:0.818140:0.000000:0.000000
–15:@0.560699:0.828569:0.578007:0.828569:0.578007:0.818140:0.560699:0.818140:0.000000:0.000000:0.000000
5:@0.757941:0.828569:0.763664:0.828569:0.763664:0.818140:0.757941:0.818140:0.000000
–10:@0.608145:0.828569:0.625453:0.828569:0.625453:0.818140:0.608145:0.818140:0.000000:0.000000:0.000000
–5:@0.696728:0.861027:0.708314:0.861027:0.708314:0.850598:0.696728:0.850598:0.000000:0.000000
–10:@0.691908:0.899145:0.709217:0.899145:0.709217:0.888716:0.691908:0.888716:0.000000:0.000000:0.000000
10:@0.803218:0.828569:0.814663:0.828569:0.814663:0.818140:0.803218:0.818140:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000