166:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Escribe situaciones en :@0.097599:0.192000:0.247834:0.192000:0.247834:0.177101:0.097599:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde aprecies elipses. :@0.089725:0.207088:0.247831:0.207088:0.247831:0.192189:0.089725:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una elipse es el conjunto de todos los puntos  ( ,  ) del plano cuya suma de distan-:@0.287495:0.443466:0.903642:0.443466:0.903642:0.427077:0.287495:0.427077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x y:@0.628034:0.443466:0.664156:0.443466:0.664156:0.427105:0.628034:0.427105:0.000000:0.000000:0.000000:0.000000:0.000000
cias a dos puntos fijos llamados focos es constante.:@0.287495:0.460063:0.661440:0.460063:0.661440:0.443674:0.287495:0.443674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elementos de la elipse:@0.287495:0.489257:0.512061:0.489257:0.512061:0.467747:0.287495:0.467747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Focos::@0.287495:0.512038:0.337287:0.512038:0.337287:0.495138:0.287495:0.495138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 puntos fijos (  y  ).:@0.337287:0.512038:0.486769:0.512038:0.486769:0.495649:0.337287:0.495649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.435910:0.512038:0.443963:0.512038:0.443963:0.495677:0.435910:0.495677:0.000000
1:@0.443961:0.515202:0.449204:0.515202:0.449204:0.505647:0.443961:0.505647:0.000000
F:@0.465384:0.512038:0.473437:0.512038:0.473437:0.495677:0.465384:0.495677:0.000000
2:@0.473435:0.515202:0.478678:0.515202:0.478678:0.505647:0.473435:0.505647:0.000000
Distancia focal::@0.287492:0.532203:0.407860:0.532203:0.407860:0.515302:0.287492:0.515302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es la distancia entre los dos focos (2 ).:@0.407860:0.532203:0.688196:0.532203:0.688196:0.515814:0.407860:0.515814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.672440:0.532203:0.680106:0.532203:0.680106:0.515842:0.672440:0.515842:0.000000
Eje mayor::@0.287492:0.552368:0.370306:0.552368:0.370306:0.535467:0.287492:0.535467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el segmento más largo de la elipse (2 ).:@0.370306:0.552368:0.683111:0.552368:0.683111:0.535979:0.370306:0.535979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.665752:0.552368:0.675022:0.552368:0.675022:0.536006:0.665752:0.536006:0.000000
Eje menor::@0.287492:0.572532:0.372204:0.572532:0.372204:0.555631:0.287492:0.555631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el segmento más corto de la elipse (2 , con   =   −  ):@0.372204:0.572532:0.802970:0.572520:0.802970:0.556131:0.372204:0.556143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.669604:0.572532:0.678873:0.572532:0.678873:0.556171:0.669604:0.556171:0.000000
b:@0.718050:0.572532:0.727319:0.572532:0.727319:0.556171:0.718050:0.556171:0.000000
2:@0.727316:0.566472:0.732559:0.566472:0.732559:0.556917:0.727316:0.556917:0.000000
a:@0.751614:0.572520:0.760883:0.572520:0.760883:0.556158:0.751614:0.556158:0.000000
2:@0.760883:0.566472:0.766126:0.566472:0.766126:0.556917:0.760883:0.556917:0.000000
c:@0.785179:0.572520:0.792845:0.572520:0.792845:0.556158:0.785179:0.556158:0.000000
2:@0.792845:0.566472:0.798088:0.566472:0.798088:0.556917:0.792845:0.556917:0.000000
Centro::@0.287494:0.592684:0.345596:0.592684:0.345596:0.575784:0.287494:0.575784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el punto medio entre los dos focos ( ):@0.345596:0.592684:0.650365:0.592684:0.650365:0.576295:0.345596:0.576295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.633596:0.592684:0.645482:0.592684:0.645482:0.576323:0.633596:0.576323:0.000000
Vértices::@0.287494:0.612849:0.355197:0.612849:0.355197:0.595948:0.287494:0.595948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son los puntos extremos del eje mayor. :@0.355197:0.612849:0.649055:0.612849:0.649055:0.596460:0.355197:0.596460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación cartesiana de la elipse:@0.287495:0.638387:0.560350:0.638387:0.560350:0.619950:0.287495:0.619950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por definición, igualemos la suma de las distancias de un punto  ( ,  ) a los dos focos :@0.287495:0.661798:0.907678:0.661798:0.907678:0.645409:0.287495:0.645409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x y:@0.753014:0.661798:0.788598:0.661798:0.788598:0.645437:0.753014:0.645437:0.000000:0.000000:0.000000:0.000000:0.000000
F c:@0.287495:0.678394:0.313339:0.678394:0.313339:0.662033:0.287495:0.662033:0.000000:0.000000:0.000000
1:@0.295548:0.681558:0.300791:0.681558:0.300791:0.672003:0.295548:0.672003:0.000000
( , 0) y  (− , 0) a la constante 2 : :@0.300790:0.678394:0.544097:0.678394:0.544097:0.662005:0.300790:0.662005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.350637:0.678394:0.358690:0.678394:0.358690:0.662033:0.350637:0.662033:0.000000
2:@0.358688:0.681558:0.363931:0.681558:0.363931:0.672003:0.358688:0.672003:0.000000
c:@0.379798:0.678394:0.387464:0.678394:0.387464:0.662033:0.379798:0.662033:0.000000
a:@0.527586:0.678394:0.536855:0.678394:0.536855:0.662033:0.527586:0.662033:0.000000
FP PF:@0.290008:0.701686:0.342140:0.701686:0.342140:0.685325:0.290008:0.685325:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.372712:0.701686:0.381981:0.701686:0.381981:0.685325:0.372712:0.685325:0.000000
xc:@0.308841:0.727258:0.340740:0.727258:0.340740:0.710897:0.308841:0.710897:0.000000:0.000000
y:@0.375955:0.727258:0.383436:0.727258:0.383436:0.710897:0.375955:0.710897:0.000000
x c:@0.457092:0.727258:0.489322:0.727258:0.489322:0.710897:0.457092:0.710897:0.000000:0.000000:0.000000
y:@0.524537:0.727258:0.532018:0.727258:0.532018:0.710897:0.524537:0.710897:0.000000
a:@0.596405:0.727258:0.605674:0.727258:0.605674:0.710897:0.596405:0.710897:0.000000
xc:@0.308841:0.753508:0.340740:0.753508:0.340740:0.737147:0.308841:0.737147:0.000000:0.000000
y:@0.375955:0.753508:0.383436:0.753508:0.383436:0.737147:0.375955:0.737147:0.000000
a:@0.447841:0.753508:0.457110:0.753508:0.457110:0.737147:0.447841:0.737147:0.000000
1:@0.295766:0.703690:0.300978:0.703690:0.300978:0.694192:0.295766:0.694192:0.000000
2:@0.340524:0.703690:0.345736:0.703690:0.345736:0.694192:0.340524:0.694192:0.000000
2:@0.346761:0.719600:0.351973:0.719600:0.351973:0.710102:0.346761:0.710102:0.000000
2:@0.414193:0.719600:0.419404:0.719600:0.419404:0.710102:0.414193:0.710102:0.000000
2:@0.495329:0.719603:0.500541:0.719603:0.500541:0.710105:0.495329:0.710105:0.000000
2:@0.562760:0.719603:0.567972:0.719603:0.567972:0.710105:0.562760:0.710105:0.000000
2:@0.346757:0.745849:0.351969:0.745849:0.351969:0.736351:0.346757:0.736351:0.000000
2:@0.414188:0.745849:0.419400:0.745849:0.419400:0.736351:0.414188:0.736351:0.000000
2:@0.364084:0.701686:0.373077:0.701686:0.373077:0.685297:0.364084:0.685297:0.000000
0):@0.399946:0.727264:0.414350:0.727261:0.414350:0.710872:0.399946:0.710875:0.000000:0.000000
0):@0.548528:0.727264:0.562932:0.727261:0.562932:0.710872:0.548528:0.710875:0.000000:0.000000
2:@0.587782:0.727264:0.596775:0.727264:0.596775:0.710875:0.587782:0.710875:0.000000
0):@0.399949:0.753514:0.414368:0.753511:0.414368:0.737122:0.399949:0.737125:0.000000:0.000000
2:@0.439219:0.753514:0.448211:0.753514:0.448211:0.737125:0.439219:0.737125:0.000000
+:@0.312473:0.702370:0.322590:0.702370:0.322590:0.686797:0.312473:0.686797:0.000000
=:@0.351061:0.702370:0.361177:0.702370:0.361177:0.686797:0.351061:0.686797:0.000000
−:@0.320434:0.727942:0.330551:0.727942:0.330551:0.712369:0.320434:0.712369:0.000000
+:@0.356663:0.727942:0.366779:0.727942:0.366779:0.712369:0.356663:0.712369:0.000000
−:@0.387547:0.727942:0.397664:0.727942:0.397664:0.712369:0.387547:0.712369:0.000000
+:@0.425564:0.727942:0.435680:0.727942:0.435680:0.712369:0.425564:0.712369:0.000000
+:@0.468684:0.727942:0.478801:0.727942:0.478801:0.712369:0.468684:0.712369:0.000000
+:@0.505226:0.727942:0.515343:0.727942:0.515343:0.712369:0.505226:0.712369:0.000000
−:@0.536111:0.727942:0.546228:0.727942:0.546228:0.712369:0.536111:0.712369:0.000000
=:@0.574754:0.727942:0.584871:0.727942:0.584871:0.712369:0.574754:0.712369:0.000000
−:@0.320424:0.754188:0.330541:0.754188:0.330541:0.738615:0.320424:0.738615:0.000000
+:@0.356653:0.754188:0.366769:0.754188:0.366769:0.738615:0.356653:0.738615:0.000000
−:@0.387537:0.754188:0.397654:0.754188:0.397654:0.738615:0.387537:0.738615:0.000000
=:@0.426180:0.754188:0.436297:0.754188:0.436297:0.738615:0.426180:0.738615:0.000000
−:@0.459995:0.754188:0.470112:0.754188:0.470112:0.738615:0.459995:0.738615:0.000000
(:@0.302199:0.727261:0.307082:0.727261:0.307082:0.710872:0.302199:0.710872:0.000000
):@0.342040:0.727261:0.346923:0.727261:0.346923:0.710872:0.342040:0.710872:0.000000
(:@0.369054:0.727261:0.373938:0.727261:0.373938:0.710872:0.369054:0.710872:0.000000
(:@0.450468:0.727261:0.455351:0.727261:0.455351:0.710872:0.450468:0.710872:0.000000
):@0.490622:0.727261:0.495505:0.727261:0.495505:0.710872:0.490622:0.710872:0.000000
(:@0.517637:0.727261:0.522520:0.727261:0.522520:0.710872:0.517637:0.710872:0.000000
(:@0.302217:0.753511:0.307101:0.753511:0.307101:0.737122:0.302217:0.737122:0.000000
):@0.342058:0.753511:0.346941:0.753511:0.346941:0.737122:0.342058:0.737122:0.000000
(:@0.369073:0.753511:0.373956:0.753511:0.373956:0.737122:0.369073:0.737122:0.000000
(:@0.484614:0.753511:0.489498:0.753511:0.489498:0.737122:0.484614:0.737122:0.000000
x xc:@0.491246:0.753511:0.523458:0.753511:0.523458:0.737149:0.491246:0.737149:0.000000:0.000000:0.000000:0.000000
y:@0.558673:0.753511:0.566155:0.753511:0.566155:0.737149:0.558673:0.737149:0.000000
+:@0.502819:0.754188:0.512936:0.754188:0.512936:0.738615:0.502819:0.738615:0.000000
+:@0.539361:0.754188:0.549478:0.754188:0.549478:0.738615:0.539361:0.738615:0.000000
−:@0.570246:0.754188:0.580363:0.754188:0.580363:0.738615:0.570246:0.738615:0.000000
):@0.524748:0.753511:0.529631:0.753511:0.529631:0.737122:0.524748:0.737122:0.000000
(:@0.551763:0.753511:0.556646:0.753511:0.556646:0.737122:0.551763:0.737122:0.000000
) 0:@0.592175:0.753511:0.591644:0.753511:0.591644:0.737122:0.592175:0.737122:0.000000:0.000000:0.000000
2:@0.529462:0.745849:0.534674:0.745849:0.534674:0.736351:0.529462:0.736351:0.000000
2:@0.596893:0.745849:0.602105:0.745849:0.602105:0.736351:0.596893:0.736351:0.000000
Lo que, reduciendo, nos queda::@0.287495:0.784936:0.517544:0.784936:0.517544:0.768547:0.287495:0.768547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.544001:0.809957:0.551465:0.809957:0.551465:0.793596:0.544001:0.793596:0.000000
a:@0.543164:0.829563:0.552433:0.829563:0.552433:0.813202:0.543164:0.813202:0.000000
y:@0.595515:0.809957:0.602997:0.809957:0.602997:0.793596:0.595515:0.793596:0.000000
a:@0.578867:0.829563:0.588136:0.829563:0.588136:0.813202:0.578867:0.813202:0.000000
c:@0.611060:0.829563:0.618725:0.829563:0.618725:0.813202:0.611060:0.813202:0.000000
2:@0.553058:0.802295:0.558269:0.802295:0.558269:0.792797:0.553058:0.792797:0.000000
2:@0.552791:0.821900:0.558002:0.821900:0.558002:0.812402:0.552791:0.812402:0.000000
2:@0.604566:0.802295:0.609777:0.802295:0.609777:0.792797:0.604566:0.792797:0.000000
2:@0.588499:0.821901:0.593711:0.821901:0.593711:0.812403:0.588499:0.812403:0.000000
2:@0.619801:0.821901:0.625013:0.821901:0.625013:0.812403:0.619801:0.812403:0.000000
1:@0.643678:0.818719:0.652671:0.818719:0.652671:0.802330:0.643678:0.802330:0.000000
+:@0.564418:0.819397:0.574534:0.819397:0.574534:0.803824:0.564418:0.803824:0.000000
−:@0.598395:0.830241:0.608512:0.830241:0.608512:0.814668:0.598395:0.814668:0.000000
=:@0.631794:0.819397:0.641911:0.819397:0.641911:0.803824:0.631794:0.803824:0.000000
Como   =   −  , finalmente tenemos::@0.287495:0.856274:0.575745:0.856274:0.575745:0.839885:0.287495:0.839885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.336624:0.856274:0.345893:0.856274:0.345893:0.839912:0.336624:0.839912:0.000000
2:@0.345891:0.850226:0.351134:0.850226:0.351134:0.840671:0.345891:0.840671:0.000000
a:@0.370189:0.856274:0.379458:0.856274:0.379458:0.839912:0.370189:0.839912:0.000000
2:@0.379456:0.850226:0.384699:0.850226:0.384699:0.840671:0.379456:0.840671:0.000000
c:@0.403754:0.856274:0.411420:0.856274:0.411420:0.839912:0.403754:0.839912:0.000000
2:@0.411418:0.850226:0.416661:0.850226:0.416661:0.840671:0.411418:0.840671:0.000000
x:@0.559079:0.881294:0.566542:0.881294:0.566542:0.864933:0.559079:0.864933:0.000000
a:@0.558241:0.900900:0.567510:0.900900:0.567510:0.884539:0.558241:0.884539:0.000000
y:@0.595358:0.881294:0.602839:0.881294:0.602839:0.864933:0.595358:0.864933:0.000000
b:@0.594207:0.900900:0.603476:0.900900:0.603476:0.884539:0.594207:0.884539:0.000000
2:@0.568135:0.873633:0.573347:0.873633:0.573347:0.864135:0.568135:0.864135:0.000000
2:@0.567868:0.893238:0.573080:0.893238:0.573080:0.883740:0.567868:0.883740:0.000000
2:@0.604414:0.873633:0.609625:0.873633:0.609625:0.864135:0.604414:0.864135:0.000000
2:@0.603837:0.893238:0.609049:0.893238:0.609049:0.883740:0.603837:0.883740:0.000000
1:@0.628286:0.890056:0.637279:0.890056:0.637279:0.873667:0.628286:0.873667:0.000000
+:@0.579490:0.890734:0.589606:0.890734:0.589606:0.875161:0.579490:0.875161:0.000000
=:@0.616400:0.890734:0.626517:0.890734:0.626517:0.875161:0.616400:0.875161:0.000000
nidad de conocimientos:@0.306727:0.416111:0.480398:0.416111:0.480398:0.400747:0.306727:0.400747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.416896:0.297460:0.416896:0.297460:0.399760:0.284892:0.399760:0.000000
Pienso y progreso:@0.294883:0.363027:0.417347:0.363027:0.417347:0.347663:0.294883:0.347663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua la curva que describe el movimiento de traslación de la Tierra.:@0.294883:0.381679:0.768063:0.381679:0.768063:0.366780:0.294883:0.366780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para asegurar una transición suave entre los tramos rectos y curvos de las pistas de :@0.287495:0.168345:0.907694:0.168345:0.907694:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caminata, los arquitectos utilizan elipses, esto permite un diseño más ergonómico y :@0.287495:0.184941:0.907637:0.184941:0.907637:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eficiente. :@0.287495:0.201538:0.357813:0.201538:0.357813:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un arquitecto está diseñando una pista de caminata con forma de elipse. Para definir :@0.287495:0.225257:0.907740:0.225257:0.907740:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el contorno interior de la pista, se colocan dos postes metálicos ( ₁ y  ₂) separados por :@0.287495:0.241853:0.907766:0.241853:0.907766:0.225464:0.287495:0.225464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.752034:0.241853:0.760087:0.241853:0.760087:0.225492:0.752034:0.225492:0.000000
F:@0.778662:0.241853:0.786715:0.241853:0.786715:0.225492:0.778662:0.225492:0.000000
una distancia de 60 metros, ubicados en el centro del campo. La pista debe cumplir :@0.287495:0.258450:0.907696:0.258450:0.907696:0.242061:0.287495:0.242061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la suma de distancias desde cualquier punto del contorno hasta los postes sea :@0.287495:0.275046:0.907751:0.275046:0.907751:0.258657:0.287495:0.258657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante y sea igual a 100 metros.:@0.287495:0.291642:0.543138:0.291642:0.543138:0.275253:0.287495:0.275253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.315361:0.302403:0.315361:0.302403:0.298461:0.287495:0.298461:0.000000:0.000000
  Hallar la ecuación cartesiana y ecuación general de la elipse.:@0.302403:0.315361:0.755170:0.315361:0.755170:0.298972:0.302403:0.298972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.335526:0.303712:0.335526:0.303712:0.318625:0.287495:0.318625:0.000000:0.000000
  Calcula el largo y el ancho de la pista. :@0.303712:0.335526:0.591992:0.335526:0.591992:0.319137:0.303712:0.319137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Secciones cónicas. La elipse e hipérbola:@0.286308:0.075160:0.866557:0.075160:0.866557:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
La forma elíptica se elige para :@0.072616:0.341024:0.253451:0.341024:0.253451:0.327615:0.072616:0.327615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una pista de caminata porque :@0.072616:0.353596:0.255785:0.353596:0.255785:0.340187:0.072616:0.340187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ofrece un diseño simétrico :@0.072616:0.366168:0.235446:0.366168:0.235446:0.352758:0.072616:0.352758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y estéticamente agradable, :@0.072616:0.378739:0.237542:0.378739:0.237542:0.365330:0.072616:0.365330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asegurando eficiencia en el :@0.072616:0.391311:0.239716:0.391311:0.239716:0.377902:0.072616:0.377902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uso del espacio y comodidad :@0.072616:0.403883:0.251838:0.403883:0.251838:0.390474:0.072616:0.390474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para los usuarios.:@0.072616:0.416455:0.174807:0.416455:0.174807:0.403045:0.072616:0.403045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60 m:@0.148940:0.290536:0.182679:0.290536:0.182679:0.275637:0.148940:0.275637:0.000000:0.000000:0.000000:0.000000
F:@0.100877:0.277925:0.108198:0.277925:0.108198:0.263051:0.100877:0.263051:0.000000
1:@0.108191:0.280806:0.112957:0.280806:0.112957:0.272120:0.108191:0.272120:0.000000
F:@0.218662:0.277930:0.225982:0.277930:0.225982:0.263056:0.218662:0.263056:0.000000
2:@0.225982:0.280806:0.230748:0.280806:0.230748:0.272120:0.225982:0.272120:0.000000
y:@0.165798:0.476833:0.168912:0.476833:0.168912:0.470880:0.165798:0.470880:0.000000
x:@0.254544:0.531390:0.257659:0.531390:0.257659:0.525437:0.254544:0.525437:0.000000
P x y:@0.190556:0.491000:0.205332:0.491000:0.205332:0.485047:0.190556:0.485047:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ):@0.194137:0.491000:0.207338:0.491000:0.207338:0.485005:0.194137:0.485005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F c:@0.218314:0.536582:0.228704:0.536581:0.228704:0.530628:0.218314:0.530630:0.000000:0.000000:0.000000
1:@0.221598:0.537794:0.223711:0.537794:0.223711:0.534298:0.221598:0.534298:0.000000
( , 0):@0.223711:0.536581:0.237293:0.536581:0.237293:0.530586:0.223711:0.530586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.108846:0.536581:0.112130:0.536581:0.112130:0.530628:0.108846:0.530628:0.000000
2:@0.112125:0.537794:0.114238:0.537794:0.114238:0.534298:0.112125:0.534298:0.000000
(– , 0):@0.114238:0.536581:0.131352:0.536581:0.131352:0.530586:0.114238:0.530586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.119775:0.536581:0.122763:0.536581:0.122763:0.530628:0.119775:0.530628:0.000000
V a:@0.236491:0.521972:0.248104:0.521972:0.248104:0.516019:0.236491:0.516019:0.000000:0.000000:0.000000
1:@0.240299:0.523185:0.242411:0.523185:0.242411:0.519690:0.240299:0.519690:0.000000
( , 0):@0.242411:0.521972:0.256693:0.521972:0.256693:0.515977:0.242411:0.515977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.094887:0.521972:0.098694:0.521972:0.098694:0.516019:0.094887:0.516019:0.000000
2:@0.098690:0.523184:0.100803:0.523184:0.100803:0.519688:0.098690:0.519688:0.000000
(– , 0):@0.100803:0.521971:0.118616:0.521971:0.118616:0.515976:0.100803:0.515976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.106340:0.521971:0.110027:0.521971:0.110027:0.516018:0.106340:0.516018:0.000000
O:@0.176391:0.522729:0.181109:0.522729:0.181109:0.516776:0.176391:0.516776:0.000000
(0, 0):@0.181109:0.522729:0.195327:0.522729:0.195327:0.516734:0.181109:0.516734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una elipse se forma :@0.114074:0.693991:0.248425:0.693991:0.248425:0.679092:0.114074:0.679092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando un plano corta :@0.092061:0.709079:0.248426:0.709079:0.248426:0.694180:0.092061:0.694180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oblicuamente a un cono, :@0.078173:0.724166:0.248426:0.724166:0.248426:0.709267:0.078173:0.709267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sin llegar a ser paralelo a :@0.082730:0.739254:0.248428:0.739254:0.248428:0.724355:0.082730:0.724355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su lado inclinado ni :@0.115330:0.754342:0.248428:0.754342:0.248428:0.739443:0.115330:0.739443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atravesar sus dos hojas.:@0.090419:0.769429:0.244756:0.769429:0.244756:0.754530:0.090419:0.754530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elipse:@0.116067:0.915080:0.150654:0.915080:0.150654:0.901671:0.116067:0.901671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano:@0.168302:0.803469:0.206598:0.803469:0.206598:0.788570:0.168302:0.788570:0.000000:0.000000:0.000000:0.000000:0.000000
eje:@0.160395:0.847236:0.180230:0.847236:0.180230:0.832337:0.160395:0.832337:0.000000:0.000000:0.000000
O:@0.143609:0.873501:0.154414:0.873501:0.154414:0.858627:0.143609:0.858627:0.000000
A:@0.145703:0.784949:0.154699:0.784949:0.154699:0.770075:0.145703:0.770075:0.000000
     Matemática:@0.115799:0.661549:0.223340:0.661549:0.223340:0.644648:0.115799:0.644648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. :@0.298180:0.943204:0.353423:0.943204:0.353423:0.930912:0.298180:0.930912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribir y reconocer las ecuaciones cartesianas de la elipse y la hipérbola con vértice en el origen y :@0.354924:0.943204:0.906505:0.943204:0.906505:0.931284:0.354924:0.931284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con vértice fuera del origen para resolver y plantear problemas (por ejemplo, en física: órbitas planetarias, tiro :@0.298180:0.954519:0.906531:0.954519:0.906531:0.942600:0.298180:0.942600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parabólico, etc.), identificando la validez y pertinencia de los resultados obtenidos. (desagregada) :@0.298180:0.965835:0.816928:0.965835:0.816928:0.953916:0.298180:0.953916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000