﻿93:@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
4:@0.921148:0.121152:0.943593:0.121152:0.943593:0.064121:0.921148:0.064121:0.000000
Actividad resuelta:@0.115281:0.635209:0.272404:0.635209:0.272404:0.616772:0.115281:0.616772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.115281:0.667276:0.145263:0.667276:0.145263:0.650887:0.115281:0.650887:0.000000:0.000000:0.000000:0.000000
:@0.165732:0.656674:0.173288:0.656674:0.173288:0.639926:0.165732:0.639926:0.000000
0,3,2.:@0.164999:0.667276:0.211562:0.667276:0.211562:0.650887:0.164999:0.650887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.158559:0.672911:0.164695:0.672911:0.164695:0.647994:0.158559:0.647994:0.000000
):@0.201532:0.672911:0.207669:0.672911:0.207669:0.647994:0.201532:0.647994:0.000000
E:@0.147879:0.667276:0.156006:0.667276:0.156006:0.650915:0.147879:0.650915:0.000000
Encontremos:@0.215619:0.667276:0.317285:0.667276:0.317285:0.650652:0.215619:0.650652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la recta tangente a la elipse en el punto :@0.317285:0.667276:0.724458:0.667276:0.724458:0.650887:0.317285:0.650887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 3:@0.760630:0.659086:0.790510:0.659086:0.790510:0.643416:0.760630:0.643416:0.000000:0.000000:0.000000
2:@0.771576:0.678531:0.780569:0.678531:0.780569:0.662862:0.771576:0.662862:0.000000
,1:@0.794353:0.667605:0.806754:0.667605:0.806754:0.651936:0.794353:0.651936:0.000000:0.000000
=⎜:@0.739328:0.668283:0.758658:0.668518:0.758658:0.652945:0.739328:0.652710:0.000000:0.000000
⎛:@0.751582:0.655670:0.758658:0.655670:0.758658:0.640097:0.751582:0.640097:0.000000
⎝:@0.751582:0.681795:0.758658:0.681795:0.758658:0.666222:0.751582:0.666222:0.000000
⎞:@0.804562:0.655670:0.811638:0.655670:0.811638:0.640097:0.804562:0.640097:0.000000
⎠:@0.804562:0.681795:0.811638:0.681795:0.811638:0.666222:0.804562:0.666222:0.000000
⎟:@0.804562:0.668518:0.811638:0.668518:0.811638:0.652945:0.804562:0.652945:0.000000
u:@0.727073:0.667605:0.736398:0.667605:0.736398:0.652212:0.727073:0.652212:0.000000
.:@0.812308:0.667276:0.815514:0.667276:0.815514:0.650887:0.812308:0.650887:0.000000
Verificamos:@0.115282:0.721283:0.204159:0.721283:0.204159:0.704659:0.115282:0.704659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que :@0.204159:0.721283:0.240941:0.721283:0.240941:0.704894:0.204159:0.704894:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.279307:0.726414:0.241835:0.726414:0.241835:0.700981:0.279307:0.700981:0.000000
):@0.322889:0.726414:0.285417:0.726414:0.285417:0.700981:0.322889:0.700981:0.000000
∈:@0.256473:0.722214:0.269557:0.722214:0.269557:0.706706:0.256473:0.706706:0.000000
⎛:@0.486110:0.714474:0.493157:0.714474:0.493157:0.698966:0.486110:0.698966:0.000000
⎝:@0.486110:0.731139:0.493157:0.731139:0.493157:0.715631:0.486110:0.715631:0.000000
⎜:@0.486110:0.725354:0.493157:0.725354:0.493157:0.709846:0.486110:0.709846:0.000000
⎞:@0.515618:0.714474:0.522664:0.714474:0.522664:0.698966:0.515618:0.698966:0.000000
⎠:@0.515618:0.731139:0.522664:0.731139:0.522664:0.715631:0.515618:0.715631:0.000000
⎟:@0.515618:0.725354:0.522664:0.725354:0.522664:0.709846:0.515618:0.709846:0.000000
+:@0.534537:0.722228:0.544611:0.722228:0.544611:0.706720:0.534537:0.706720:0.000000
⎛:@0.547364:0.714488:0.554411:0.714488:0.554411:0.698980:0.547364:0.698980:0.000000
⎝:@0.547364:0.731152:0.554411:0.731152:0.554411:0.715645:0.547364:0.715645:0.000000
⎜:@0.547364:0.725368:0.554411:0.725368:0.554411:0.709860:0.547364:0.709860:0.000000
⎞:@0.576871:0.714488:0.583918:0.714488:0.583918:0.698980:0.576871:0.698980:0.000000
⎠:@0.576871:0.731152:0.583918:0.731152:0.583918:0.715645:0.576871:0.715645:0.000000
⎟:@0.576871:0.725368:0.583918:0.725368:0.583918:0.709860:0.576871:0.709860:0.000000
= ⇒:@0.596323:0.722242:0.635391:0.722242:0.635391:0.706734:0.596323:0.706734:0.000000:0.000000:0.000000
⎛:@0.637923:0.711527:0.644970:0.711527:0.644970:0.696019:0.637923:0.696019:0.000000
⎝:@0.637923:0.734141:0.644970:0.734141:0.644970:0.718633:0.637923:0.718633:0.000000
⎜:@0.637923:0.726869:0.644970:0.726869:0.644970:0.711361:0.637923:0.711361:0.000000
⎞:@0.681304:0.711527:0.688350:0.711527:0.688350:0.696019:0.681304:0.696019:0.000000
⎠:@0.681304:0.734141:0.688350:0.734141:0.688350:0.718633:0.681304:0.718633:0.000000
⎟:@0.681304:0.726869:0.688350:0.726869:0.688350:0.711361:0.681304:0.711361:0.000000
+:@0.700223:0.722255:0.710297:0.722255:0.710297:0.706748:0.700223:0.706748:0.000000
⎛ ⎞:@0.713050:0.714515:0.741621:0.714515:0.741621:0.699008:0.713050:0.699008:0.000000:0.000000:0.000000
⎝ ⎠:@0.713050:0.731180:0.741621:0.731180:0.741621:0.715672:0.713050:0.715672:0.000000:0.000000:0.000000
⎜ ⎟:@0.713050:0.725396:0.741621:0.725396:0.741621:0.709888:0.713050:0.709888:0.000000:0.000000:0.000000
= ⇒ =:@0.754026:0.722269:0.813684:0.722269:0.813684:0.706761:0.754026:0.706761:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.245426:0.713303:0.252950:0.713303:0.252950:0.696625:0.245426:0.696625:0.000000
:@0.286880:0.711031:0.294404:0.711031:0.294404:0.694353:0.286880:0.694353:0.000000
0,3,2 , donde = 3 y = 2;:@0.286146:0.721581:0.481770:0.721581:0.481770:0.705977:0.286146:0.705977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.481596:0.721581:0.484789:0.721581:0.484789:0.705977:0.481596:0.705977:0.000000
1:@0.608544:0.721581:0.617499:0.721581:0.617499:0.705977:0.608544:0.705977:0.000000
3 3:@0.648897:0.712656:0.678652:0.712656:0.678652:0.697052:0.648897:0.697052:0.000000:0.000000:0.000000
6:@0.659797:0.732020:0.668752:0.732020:0.668752:0.716416:0.659797:0.716416:0.000000
1:@0.724812:0.712656:0.733767:0.712656:0.733767:0.697052:0.724812:0.697052:0.000000
2:@0.724023:0.732020:0.732978:0.732020:0.732978:0.716416:0.724023:0.716416:0.000000
1:@0.766220:0.721529:0.775175:0.721529:0.775175:0.705925:0.766220:0.705925:0.000000
11:@0.794476:0.721529:0.824755:0.721529:0.824755:0.705925:0.794476:0.705925:0.000000:0.000000
0:@0.506654:0.714614:0.511844:0.714614:0.511844:0.705570:0.506654:0.705570:0.000000
2:@0.525052:0.703264:0.530242:0.703264:0.530242:0.694220:0.525052:0.694220:0.000000
0:@0.567900:0.714614:0.573090:0.714614:0.573090:0.705570:0.567900:0.705570:0.000000
2:@0.586299:0.703264:0.591488:0.703264:0.591488:0.694220:0.586299:0.694220:0.000000
2:@0.690723:0.700286:0.695913:0.700286:0.695913:0.691243:0.690723:0.691243:0.000000
2:@0.744004:0.703264:0.749194:0.703264:0.749194:0.694220:0.744004:0.694220:0.000000
uE:@0.243544:0.721539:0.277180:0.721539:0.277180:0.706211:0.243544:0.706211:0.000000:0.000000
a:@0.388365:0.721539:0.397596:0.721539:0.397596:0.706211:0.388365:0.706211:0.000000
b:@0.441279:0.721539:0.450509:0.721539:0.450509:0.706211:0.441279:0.706211:0.000000
x:@0.498523:0.712615:0.505955:0.712615:0.505955:0.697286:0.498523:0.697286:0.000000
a:@0.500872:0.731979:0.510102:0.731979:0.510102:0.716650:0.500872:0.716650:0.000000
y:@0.559776:0.712615:0.567227:0.712615:0.567227:0.697286:0.559776:0.697286:0.000000
b:@0.561923:0.731979:0.571154:0.731979:0.571154:0.716650:0.561923:0.716650:0.000000
, por lo :@0.824100:0.721277:0.878535:0.721277:0.878535:0.704888:0.824100:0.704888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación cartesiana de la elipse:@0.115281:0.138265:0.585387:0.138265:0.585387:0.097529:0.115281:0.097529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M. 5.2.16. Describir la elipse como lugares geométricos en el plano. :@0.124779:0.068332:0.438450:0.068332:0.438450:0.057902:0.124779:0.057902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. Escribir y reconocer las ecuaciones cartesianas de la elipse con centro en el origen y con centro fuera del origen para resolver y plantear problemas  :@0.124779:0.078893:0.877104:0.078893:0.877104:0.068464:0.124779:0.068464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(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 elipse:@0.462890:0.164564:0.532085:0.164564:0.532085:0.147664:0.462890:0.147664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.122200:0.232305:0.203779:0.232305:0.203779:0.215405:0.122200:0.215405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se llama elipse al lugar geométrico de un punto “P” que se :@0.449714:0.187246:0.876859:0.187246:0.876859:0.170857:0.449714:0.170857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mueve en el plano, de tal modo que la suma de las distan-:@0.449714:0.203842:0.872792:0.203842:0.872792:0.187454:0.449714:0.187454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cias del punto “P” a dos puntos fijos F' y F (llamados focos), :@0.449714:0.220439:0.876868:0.220439:0.876868:0.204050:0.449714:0.204050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mantienen la suma constante. La recta que contiene a los :@0.449714:0.237035:0.876844:0.237035:0.876844:0.220646:0.449714:0.220646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
focos F' y F se llama eje focal o eje mayor de la elipse.:@0.449714:0.253632:0.837074:0.253632:0.837074:0.237243:0.449714:0.237243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A la cónica en la que  < 1, se la conoce como “elipse”.:@0.449714:0.277351:0.840524:0.277351:0.840524:0.260962:0.449714:0.260962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e :@0.605114:0.277351:0.616226:0.277351:0.616226:0.260989:0.605114:0.260989:0.000000:0.000000
Ecuación cartesiana de la elipse:@0.122200:0.314554:0.372316:0.314554:0.372316:0.297653:0.122200:0.297653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación de la elipse de centro :@0.449714:0.311677:0.681198:0.311677:0.681198:0.295288:0.449714:0.295288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,0 ::@0.702873:0.312599:0.738066:0.312599:0.738066:0.296929:0.702873:0.296929:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.838887:0.312599:0.847880:0.312599:0.847880:0.296929:0.838887:0.296929:0.000000
2:@0.768889:0.294408:0.774101:0.294408:0.774101:0.285327:0.768889:0.285327:0.000000
2:@0.817684:0.294408:0.822896:0.294408:0.822896:0.285327:0.817684:0.285327:0.000000
(:@0.696435:0.315732:0.672516:0.315732:0.672516:0.295799:0.696435:0.295799:0.000000
):@0.726490:0.315732:0.702571:0.315732:0.702571:0.295799:0.726490:0.295799:0.000000
⎛ ⎞:@0.740566:0.303651:0.769165:0.303651:0.769165:0.288078:0.740566:0.288078:0.000000:0.000000:0.000000
⎝ ⎠:@0.740566:0.323802:0.769165:0.323802:0.769165:0.308229:0.740566:0.308229:0.000000:0.000000:0.000000
⎜ ⎟ +⎜ ⎟ =:@0.740566:0.314535:0.837495:0.313277:0.837495:0.297704:0.740566:0.298962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎛ ⎞:@0.789362:0.303651:0.817962:0.303651:0.817962:0.288078:0.789362:0.288078:0.000000:0.000000:0.000000
⎝ ⎠:@0.789362:0.323802:0.817962:0.323802:0.817962:0.308229:0.789362:0.308229:0.000000:0.000000:0.000000
C:@0.683827:0.312599:0.693741:0.312599:0.693741:0.297206:0.683827:0.297206:0.000000
x:@0.751106:0.304080:0.758569:0.304080:0.758569:0.288686:0.751106:0.288686:0.000000
a:@0.750222:0.323525:0.759491:0.323525:0.759491:0.308132:0.750222:0.308132:0.000000
y:@0.799903:0.304080:0.807384:0.304080:0.807384:0.288686:0.799903:0.288686:0.000000
b:@0.798797:0.323525:0.808066:0.323525:0.808066:0.308132:0.798797:0.308132:0.000000
Intersecciones de la elipse con los ejes :@0.122196:0.366904:0.427944:0.366904:0.427944:0.350004:0.122196:0.350004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de coordenadas:@0.122196:0.383501:0.249384:0.383501:0.249384:0.366600:0.122196:0.366600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.449711:0.365065:0.468451:0.365065:0.468451:0.347929:0.449711:0.347929:0.000000:0.000000:0.000000
   Si :@0.467291:0.365065:0.492076:0.365065:0.492076:0.348676:0.467291:0.348676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.519092:0.365070:0.528085:0.365070:0.528085:0.348681:0.519092:0.348681:0.000000
0,–:@0.654480:0.365070:0.678141:0.365070:0.678141:0.348681:0.654480:0.348681:0.000000:0.000000:0.000000
,:@0.695942:0.365070:0.699149:0.365070:0.699149:0.348681:0.695942:0.348681:0.000000
,:@0.711127:0.365070:0.714333:0.365070:0.714333:0.348681:0.711127:0.348681:0.000000
0,:@0.753381:0.365070:0.766115:0.365070:0.766115:0.348681:0.753381:0.348681:0.000000:0.000000
; eje menor.:@0.784948:0.365070:0.868886:0.365070:0.868886:0.348681:0.784948:0.348681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.789868:0.365070:0.793074:0.365070:0.793074:0.348681:0.789868:0.348681:0.000000
,:@0.814321:0.365070:0.817528:0.365070:0.817528:0.348681:0.814321:0.348681:0.000000
1:@0.627249:0.367074:0.632461:0.367074:0.632461:0.357576:0.627249:0.357576:0.000000
2:@0.724573:0.367074:0.729785:0.367074:0.729785:0.357576:0.724573:0.357576:0.000000
(:@0.648032:0.368202:0.654169:0.368202:0.654169:0.348268:0.648032:0.348268:0.000000
):@0.688352:0.368202:0.694488:0.368202:0.694488:0.348268:0.688352:0.348268:0.000000
(:@0.746915:0.368202:0.753051:0.368202:0.753051:0.348268:0.746915:0.348268:0.000000
):@0.777339:0.368202:0.783475:0.368202:0.783475:0.348268:0.777339:0.348268:0.000000
=→ =± →:@0.506422:0.365748:0.616491:0.365748:0.616491:0.350175:0.506422:0.350175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.635361:0.365748:0.645477:0.365748:0.645477:0.350175:0.635361:0.350175:0.000000
=:@0.734262:0.365748:0.744379:0.365748:0.744379:0.350175:0.734262:0.350175:0.000000
x:@0.494905:0.365070:0.502368:0.365070:0.502368:0.348709:0.494905:0.348709:0.000000
y:@0.552750:0.365070:0.560231:0.365070:0.560231:0.348709:0.552750:0.348709:0.000000
b:@0.586472:0.365070:0.595741:0.365070:0.595741:0.348709:0.586472:0.348709:0.000000
u:@0.619034:0.365070:0.628358:0.365070:0.628358:0.348709:0.619034:0.348709:0.000000
by u:@0.678444:0.365070:0.724993:0.365070:0.724993:0.348709:0.678444:0.348709:0.000000:0.000000:0.000000:0.000000
b:@0.767450:0.365070:0.776719:0.365070:0.776719:0.348709:0.767450:0.348709:0.000000
2.  :@0.449721:0.390047:0.471705:0.390047:0.471705:0.372912:0.449721:0.372912:0.000000:0.000000:0.000000:0.000000
  Si :@0.471226:0.390047:0.494702:0.390047:0.494702:0.373659:0.471226:0.373659:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.522443:0.390051:0.531435:0.390051:0.531435:0.373662:0.522443:0.373662:0.000000
– ,0:@0.657775:0.390051:0.691111:0.390051:0.691111:0.373662:0.657775:0.373662:0.000000:0.000000:0.000000:0.000000
, ,:@0.699238:0.390051:0.717628:0.390051:0.717628:0.373662:0.699238:0.373662:0.000000:0.000000:0.000000
,0 ; eje mayor.:@0.766148:0.390051:0.869785:0.390051:0.869785:0.373662:0.766148:0.373662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.792739:0.390051:0.795946:0.390051:0.795946:0.373662:0.792739:0.373662:0.000000
,:@0.817193:0.390051:0.820399:0.390051:0.820399:0.373662:0.817193:0.373662:0.000000
1:@0.630181:0.392055:0.635392:0.392055:0.635392:0.382557:0.630181:0.382557:0.000000
2:@0.727088:0.392055:0.732300:0.392055:0.732300:0.382557:0.727088:0.382557:0.000000
(:@0.650964:0.393183:0.657100:0.393183:0.657100:0.373250:0.650964:0.373250:0.000000
):@0.691634:0.393183:0.697770:0.393183:0.697770:0.373250:0.691634:0.373250:0.000000
(:@0.749441:0.393183:0.755578:0.393183:0.755578:0.373250:0.749441:0.373250:0.000000
):@0.780234:0.393183:0.786370:0.393183:0.786370:0.373250:0.780234:0.373250:0.000000
=→ =± →=:@0.509773:0.390729:0.648404:0.390729:0.648404:0.375156:0.509773:0.375156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.736746:0.390729:0.746863:0.390729:0.746863:0.375156:0.736746:0.375156:0.000000
y:@0.498237:0.390051:0.505719:0.390051:0.505719:0.373690:0.498237:0.373690:0.000000
x:@0.556082:0.390051:0.563545:0.390051:0.563545:0.373690:0.556082:0.373690:0.000000
a:@0.590173:0.390051:0.599442:0.390051:0.599442:0.373690:0.590173:0.373690:0.000000
v:@0.622311:0.390051:0.630050:0.390051:0.630050:0.373690:0.622311:0.373690:0.000000
a:@0.667661:0.390051:0.676930:0.390051:0.676930:0.373690:0.667661:0.373690:0.000000
y v:@0.705253:0.390051:0.726279:0.390051:0.726279:0.373690:0.705253:0.373690:0.000000:0.000000:0.000000
a:@0.756243:0.390051:0.765512:0.390051:0.765512:0.373690:0.756243:0.373690:0.000000
Elementos de la elipse:@0.122184:0.422940:0.298629:0.422940:0.298629:0.406039:0.122184:0.406039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.399581:0.517490:0.407029:0.517490:0.407029:0.506167:0.399581:0.506167:0.000000
P:@0.335336:0.462995:0.341727:0.462995:0.341727:0.451672:0.335336:0.451672:0.000000
B:@0.261657:0.452293:0.268086:0.452293:0.268086:0.440970:0.261657:0.440970:0.000000
2c :@0.258474:0.438934:0.273154:0.438934:0.273154:0.427611:0.258474:0.427611:0.000000:0.000000:0.000000
2b:@0.423580:0.517490:0.436821:0.517490:0.436821:0.506167:0.423580:0.506167:0.000000:0.000000
2a:@0.259276:0.598196:0.271269:0.598196:0.271269:0.586872:0.259276:0.586872:0.000000:0.000000
F’:@0.160439:0.526969:0.168485:0.526969:0.168485:0.515646:0.160439:0.515646:0.000000:0.000000
F:@0.361589:0.526969:0.367471:0.526969:0.367471:0.515646:0.361589:0.515646:0.000000
B’:@0.261657:0.583948:0.270442:0.583948:0.270442:0.572625:0.261657:0.572625:0.000000:0.000000
A’:@0.122180:0.515894:0.131347:0.515894:0.131347:0.504571:0.122180:0.504571:0.000000:0.000000
C:@0.251026:0.526969:0.258283:0.526969:0.258283:0.515646:0.251026:0.515646:0.000000
a:@0.302577:0.490993:0.308357:0.490993:0.308357:0.479669:0.302577:0.479669:0.000000
b:@0.267526:0.495732:0.274554:0.495732:0.274554:0.484409:0.267526:0.484409:0.000000
c:@0.298617:0.510964:0.304296:0.510964:0.304296:0.499640:0.298617:0.499640:0.000000
•  La recta que contiene a los focos F’ y F se llama eje focal :@0.449716:0.441330:0.876830:0.441330:0.876830:0.424941:0.449716:0.424941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o eje mayor de la elipse.:@0.464789:0.457927:0.640088:0.457927:0.640088:0.441538:0.464789:0.441538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  La recta que pasa por el punto medio del segmento F’F :@0.449716:0.481646:0.876800:0.481646:0.876800:0.465257:0.449716:0.465257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y es perpendicular a él se llama eje menor de la elipse.:@0.464789:0.498242:0.860901:0.498242:0.860901:0.481853:0.464789:0.481853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  El punto donde se cortan los dos ejes es el centro de la :@0.449716:0.521961:0.876863:0.521961:0.876863:0.505572:0.449716:0.505572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elipse que se denotará como  (0,,) .:@0.464789:0.541074:0.750131:0.541083:0.750131:0.524694:0.464789:0.524686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.699755:0.529931:0.707310:0.529931:0.707310:0.513182:0.699755:0.513182:0.000000
E:@0.684207:0.541083:0.692334:0.541083:0.692334:0.524722:0.684207:0.524722:0.000000
a b:@0.713470:0.541083:0.737187:0.541083:0.737187:0.524722:0.713470:0.524722:0.000000:0.000000:0.000000
•  La  longitud  del  eje  mayor  es  2a,  la  longitud  de  eje :@0.449724:0.564802:0.876808:0.564802:0.876808:0.548413:0.449724:0.548413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.872767:0.564802:0.876803:0.564802:0.876803:0.548413:0.872767:0.548413:0.000000
menores 2b y la distancia focal es 2c.:@0.464779:0.581399:0.733322:0.581399:0.733322:0.565010:0.464779:0.565010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanto, el punto pertenece a la elipse y a la tangente.:@0.115336:0.757403:0.493851:0.757403:0.493851:0.741014:0.115336:0.741014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego :@0.115336:0.781122:0.165865:0.781122:0.165865:0.764733:0.115336:0.764733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos:@0.165865:0.781122:0.253928:0.781122:0.253928:0.764498:0.165865:0.764498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor de la pendiente de la recta empleando el :@0.253928:0.781122:0.620283:0.781122:0.620283:0.764733:0.253928:0.764733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
concepto de derivada::@0.115336:0.797719:0.279653:0.797719:0.279653:0.781330:0.115336:0.781330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.148283:0.832803:0.157497:0.832803:0.157497:0.817134:0.148283:0.817134:0.000000
–:@0.275489:0.832803:0.284703:0.832803:0.284703:0.817134:0.275489:0.817134:0.000000
2:@0.294820:0.824284:0.303812:0.824284:0.303812:0.808614:0.294820:0.808614:0.000000
3:@0.295022:0.843729:0.304015:0.843729:0.304015:0.828060:0.295022:0.828060:0.000000
3 3:@0.329206:0.824284:0.359086:0.824284:0.359086:0.808614:0.329206:0.808614:0.000000:0.000000:0.000000
3:@0.340354:0.843729:0.349347:0.843729:0.349347:0.828060:0.340354:0.828060:0.000000
–:@0.415539:0.832803:0.424753:0.832803:0.424753:0.817134:0.415539:0.817134:0.000000
23:@0.427681:0.824278:0.457976:0.824278:0.457976:0.808608:0.427681:0.808608:0.000000:0.000000
3:@0.439041:0.843727:0.448034:0.843727:0.448034:0.828057:0.439041:0.828057:0.000000
2:@0.186499:0.814611:0.191710:0.814611:0.191710:0.805530:0.186499:0.805530:0.000000
0:@0.212728:0.826282:0.217939:0.826282:0.217939:0.817200:0.212728:0.817200:0.000000
0:@0.212728:0.845735:0.217939:0.845735:0.217939:0.836653:0.212728:0.836653:0.000000
2:@0.312615:0.814619:0.317826:0.814619:0.317826:0.805538:0.312615:0.805538:0.000000
= ⎜ ⎟ ⋅:@0.135248:0.833481:0.171016:0.833481:0.171016:0.817908:0.135248:0.817908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎛ ⎞:@0.158540:0.823855:0.186772:0.823855:0.186772:0.808282:0.158540:0.808282:0.000000:0.000000:0.000000
⎝ ⎠:@0.158540:0.844006:0.186772:0.844006:0.186772:0.828433:0.158540:0.828433:0.000000:0.000000:0.000000
⇒:@0.224088:0.833481:0.199855:0.833481:0.199855:0.817908:0.224088:0.817908:0.000000
= ⎜ ⎟ ⋅:@0.262472:0.833481:0.283203:0.833481:0.283203:0.817908:0.262472:0.817908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎛ ⎞:@0.285765:0.823855:0.312890:0.823855:0.312890:0.808282:0.285765:0.808282:0.000000:0.000000:0.000000
⎝ ⎠:@0.285765:0.844006:0.312890:0.844006:0.312890:0.828433:0.285765:0.828433:0.000000:0.000000:0.000000
⇒:@0.364138:0.833481:0.325974:0.833481:0.325974:0.817908:0.364138:0.817908:0.000000
=:@0.402504:0.833481:0.412621:0.833481:0.412621:0.817908:0.402504:0.817908:0.000000
m:@0.117981:0.832803:0.132613:0.832803:0.132613:0.817410:0.117981:0.817410:0.000000
b:@0.167773:0.824284:0.177042:0.824284:0.177042:0.808891:0.167773:0.808891:0.000000
a:@0.167975:0.843729:0.177245:0.843729:0.177245:0.828336:0.167975:0.828336:0.000000
x:@0.204573:0.824284:0.212036:0.824284:0.212036:0.808891:0.204573:0.808891:0.000000
y:@0.204573:0.843729:0.212054:0.843729:0.212054:0.828336:0.204573:0.828336:0.000000
m:@0.245187:0.832803:0.259819:0.832803:0.259819:0.817410:0.245187:0.817410:0.000000
m:@0.385219:0.832803:0.399850:0.832803:0.399850:0.817410:0.385219:0.817410:0.000000
 :@0.471289:0.833972:0.475325:0.833972:0.475325:0.817583:0.471289:0.817583:0.000000
Por lo tanto, la ecuación de la recta tangente a la elipse :@0.115360:0.871369:0.521536:0.871369:0.521536:0.854980:0.115360:0.854980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en :@0.115360:0.908157:0.138210:0.908157:0.138210:0.891768:0.115360:0.891768:0.000000:0.000000:0.000000
:@0.140235:0.899325:0.147629:0.899325:0.147629:0.882576:0.140235:0.882576:0.000000
,:@0.148783:0.907651:0.151920:0.907651:0.151920:0.891981:0.148783:0.891981:0.000000
: –1 –:@0.170044:0.907651:0.229320:0.907651:0.229320:0.891981:0.170044:0.891981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
23:@0.232185:0.899131:0.261831:0.899131:0.261831:0.883461:0.232185:0.883461:0.000000:0.000000
3:@0.243293:0.918577:0.252094:0.918577:0.252094:0.902907:0.243293:0.902907:0.000000
–:@0.284787:0.907651:0.293804:0.907651:0.293804:0.891981:0.284787:0.891981:0.000000
3 3:@0.297699:0.899131:0.326939:0.899131:0.326939:0.883461:0.297699:0.883461:0.000000:0.000000:0.000000
2:@0.308410:0.918577:0.317210:0.918577:0.317210:0.902907:0.308410:0.902907:0.000000
–1 –:@0.372139:0.907651:0.412870:0.907651:0.412870:0.891981:0.372139:0.891981:0.000000:0.000000:0.000000:0.000000
23:@0.415743:0.899131:0.445389:0.899131:0.445389:0.883461:0.415743:0.883461:0.000000:0.000000
3:@0.431161:0.918577:0.439961:0.918577:0.439961:0.902907:0.431161:0.902907:0.000000
3:@0.469896:0.907651:0.478696:0.907651:0.478696:0.891981:0.469896:0.891981:0.000000
3 –12 –2 3:@0.501403:0.907651:0.603796:0.907651:0.603796:0.891981:0.501403:0.891981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.207552:0.908328:0.217452:0.908328:0.217452:0.892755:0.207552:0.892755:0.000000
⎛:@0.264825:0.895715:0.271750:0.895715:0.271750:0.880142:0.264825:0.880142:0.000000
⎝:@0.264825:0.921841:0.271750:0.921841:0.271750:0.906268:0.264825:0.906268:0.000000
⎜:@0.264825:0.908563:0.271750:0.908563:0.271750:0.892990:0.264825:0.892990:0.000000
⎞:@0.329942:0.895715:0.336866:0.895715:0.336866:0.880142:0.329942:0.880142:0.000000
⎠:@0.329942:0.921841:0.336866:0.921841:0.336866:0.906268:0.329942:0.906268:0.000000
⎟⇒:@0.329942:0.908563:0.356757:0.908328:0.356757:0.892755:0.329942:0.892990:0.000000:0.000000
=:@0.391110:0.908328:0.334089:0.908328:0.334089:0.892755:0.391110:0.892755:0.000000
+:@0.458019:0.908328:0.400999:0.908328:0.400999:0.892755:0.458019:0.892755:0.000000
⇒:@0.480769:0.908328:0.498568:0.908328:0.498568:0.892755:0.480769:0.892755:0.000000
=:@0.552396:0.908328:0.562296:0.908328:0.562296:0.892755:0.552396:0.892755:0.000000
u es y:@0.138414:0.907651:0.184827:0.907651:0.184827:0.892257:0.138414:0.892257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.273715:0.907651:0.281018:0.907651:0.281018:0.892257:0.273715:0.892257:0.000000
y:@0.361063:0.907651:0.368384:0.907651:0.368384:0.892257:0.361063:0.892257:0.000000
x:@0.446254:0.899131:0.453558:0.899131:0.453558:0.883738:0.446254:0.883738:0.000000
y:@0.511065:0.907651:0.518386:0.907651:0.518386:0.892257:0.511065:0.892257:0.000000
x:@0.604656:0.907651:0.611959:0.907651:0.611959:0.892257:0.604656:0.892257:0.000000
Para conocer más :@0.746486:0.806604:0.867941:0.806604:0.867941:0.791705:0.746486:0.791705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre la elipse, :@0.746486:0.821691:0.847485:0.821691:0.847485:0.806792:0.746486:0.806792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visita:@0.746486:0.836779:0.782638:0.836779:0.782638:0.821666:0.746486:0.821666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente :@0.782638:0.836779:0.866884:0.836779:0.866884:0.821880:0.782638:0.821880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.746486:0.851867:0.793259:0.851867:0.793259:0.836968:0.746486:0.836968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.686099:0.787171:0.706067:0.787171:0.706067:0.765445:0.686099:0.765445:0.000000:0.000000:0.000000
www.mayedu.ec/ctm12/p93:@0.661945:0.885282:0.852234:0.885282:0.852234:0.870157:0.661945:0.870157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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