169:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.268295:0.242599:0.268295:0.242599:0.252931:0.117728:0.252931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.269083:0.108221:0.269083:0.108221:0.251947:0.096132:0.251947:0.000000
2.:@0.096353:0.689718:0.110579:0.689718:0.110579:0.672817:0.096353:0.672817:0.000000:0.000000
  Halla la ecuación y grafica la hipérbola con centro (–4, 1), si uno de sus vértices es :@0.110579:0.689718:0.716553:0.689718:0.716553:0.673329:0.110579:0.673329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto (2, 1) y el eje conjugado es igual a 8. :@0.124843:0.706314:0.457220:0.706314:0.457220:0.689925:0.124843:0.689925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.622921:0.154372:0.622921:0.154372:0.607343:0.102121:0.607343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hallamos las coordenadas del :@0.154372:0.622921:0.359503:0.622921:0.359503:0.608022:0.154372:0.608022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice de una rama de la hipérbola.:@0.102121:0.638009:0.341510:0.638009:0.341510:0.623110:0.102121:0.623110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.102121:0.660225:0.110548:0.660225:0.110548:0.645351:0.102121:0.645351:0.000000
 = 30, entonces   (30, 0):@0.110548:0.660225:0.273102:0.660224:0.273102:0.645325:0.110548:0.645326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.216388:0.660225:0.224680:0.660225:0.224680:0.645351:0.216388:0.645351:0.000000
1:@0.224679:0.663100:0.229445:0.663100:0.229445:0.654414:0.224679:0.654414:0.000000
Paso 2.:@0.410036:0.622920:0.462287:0.622920:0.462287:0.607342:0.410036:0.607342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Determinamos la distancia entre   :@0.462287:0.622920:0.702890:0.622921:0.702890:0.608022:0.462287:0.608021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.686161:0.622920:0.694453:0.622920:0.694453:0.608046:0.686161:0.608046:0.000000
1:@0.694455:0.625797:0.699221:0.625797:0.699221:0.617111:0.694455:0.617111:0.000000
y  (40, 0).:@0.410041:0.638009:0.476065:0.638009:0.476065:0.623110:0.410041:0.623110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.421081:0.638009:0.428402:0.638009:0.428402:0.623135:0.421081:0.623135:0.000000
1:@0.428396:0.640885:0.433163:0.640885:0.433163:0.632198:0.428396:0.632198:0.000000
d:@0.410044:0.660225:0.418471:0.660225:0.418471:0.645351:0.410044:0.645351:0.000000
 = 40 – 30 = 10 m.:@0.418471:0.660225:0.538183:0.660225:0.538183:0.645326:0.418471:0.645326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102215:0.733253:0.154466:0.733253:0.154466:0.717675:0.102215:0.717675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Puesto que el centro y el vértice se encuentran :@0.154466:0.733253:0.473646:0.733253:0.473646:0.718354:0.154466:0.718354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una misma línea horizontal, la ecuación tiene la forma:@0.102215:0.748341:0.481015:0.748341:0.481015:0.733442:0.102215:0.733442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.229157:0.771567:0.233552:0.771567:0.233552:0.756817:0.229157:0.756817:0.000000
):@0.265528:0.771567:0.269922:0.771567:0.269922:0.756817:0.265528:0.756817:0.000000
(:@0.292196:0.771567:0.296591:0.771567:0.296591:0.756817:0.292196:0.756817:0.000000
):@0.328334:0.771567:0.332729:0.771567:0.332729:0.756817:0.328334:0.756817:0.000000
xh:@0.235144:0.771567:0.265511:0.771567:0.265511:0.756842:0.235144:0.756842:0.000000:0.000000
a:@0.245412:0.789212:0.253754:0.789212:0.253754:0.774486:0.245412:0.774486:0.000000
yk:@0.298416:0.771567:0.326810:0.771567:0.326810:0.756842:0.298416:0.756842:0.000000:0.000000
b:@0.308170:0.789212:0.316512:0.789212:0.316512:0.774486:0.308170:0.774486:0.000000
−:@0.245552:0.772177:0.254658:0.772177:0.254658:0.758161:0.245552:0.758161:0.000000
−:@0.279999:0.780068:0.289104:0.780068:0.289104:0.766052:0.279999:0.766052:0.000000
−:@0.308840:0.772177:0.317945:0.772177:0.317945:0.758161:0.308840:0.758161:0.000000
=:@0.343370:0.780068:0.352475:0.780068:0.352475:0.766052:0.343370:0.766052:0.000000
2:@0.269770:0.764671:0.274460:0.764671:0.274460:0.756122:0.269770:0.756122:0.000000
2:@0.254083:0.782316:0.258774:0.782316:0.258774:0.773767:0.254083:0.773767:0.000000
2:@0.332582:0.764671:0.337273:0.764671:0.337273:0.756122:0.332582:0.756122:0.000000
2:@0.316848:0.782316:0.321538:0.782316:0.321538:0.773767:0.316848:0.773767:0.000000
1:@0.354061:0.779451:0.362154:0.779451:0.362154:0.764701:0.354061:0.764701:0.000000
Hallamos el valor de a. Determinamos la distancia entre :@0.102215:0.814146:0.474530:0.814146:0.474530:0.799247:0.102215:0.799247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
centro (–4, 1) y el vértice (2, 1).:@0.102215:0.829234:0.303175:0.829234:0.303175:0.814335:0.102215:0.814335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.102215:0.851451:0.110642:0.851451:0.110642:0.836577:0.102215:0.836577:0.000000
 = 2 – (–4);   = 6.:@0.110642:0.851451:0.220705:0.851451:0.220705:0.836551:0.110642:0.836551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.183866:0.851451:0.192293:0.851451:0.192293:0.836577:0.183866:0.836577:0.000000
Paso 3.:@0.498108:0.733252:0.550358:0.733252:0.550358:0.717674:0.498108:0.717674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Escribimos la ecuación :@0.550358:0.733252:0.708868:0.733252:0.708868:0.718353:0.550358:0.718353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solicitada.:@0.498108:0.748339:0.563710:0.748339:0.563710:0.733440:0.498108:0.733440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.538579:0.771567:0.542974:0.771567:0.542974:0.756817:0.538579:0.756817:0.000000
) 4:@0.575513:0.771567:0.575060:0.771567:0.575060:0.756817:0.575513:0.756817:0.000000:0.000000:0.000000
(:@0.602182:0.771567:0.606577:0.771567:0.606577:0.756817:0.602182:0.756817:0.000000
) 1:@0.634688:0.771567:0.637041:0.771567:0.637041:0.756817:0.634688:0.756817:0.000000:0.000000:0.000000
x:@0.544563:0.771567:0.551280:0.771567:0.551280:0.756842:0.544563:0.756842:0.000000
y:@0.608398:0.771567:0.615131:0.771567:0.615131:0.756842:0.608398:0.756842:0.000000
+:@0.554976:0.772177:0.564081:0.772177:0.564081:0.758161:0.554976:0.758161:0.000000
−:@0.589987:0.780068:0.599092:0.780068:0.599092:0.766052:0.589987:0.766052:0.000000
−:@0.618828:0.772177:0.627933:0.772177:0.627933:0.758161:0.618828:0.758161:0.000000
=:@0.649742:0.780068:0.658847:0.780068:0.658847:0.766052:0.649742:0.766052:0.000000
36:@0.554457:0.789212:0.570561:0.789212:0.570561:0.774462:0.554457:0.774462:0.000000:0.000000
16:@0.615331:0.789212:0.631435:0.789212:0.631435:0.774462:0.615331:0.774462:0.000000:0.000000
1:@0.660426:0.779453:0.668519:0.779453:0.668519:0.764703:0.660426:0.764703:0.000000
2:@0.579759:0.764671:0.584450:0.764671:0.584450:0.756122:0.579759:0.756122:0.000000
2:@0.638939:0.764671:0.643629:0.764671:0.643629:0.756122:0.638939:0.756122:0.000000
Paso 2.:@0.102215:0.874317:0.154449:0.874317:0.154449:0.858739:0.102215:0.858739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calculamos el valor de  , considerando que el eje :@0.154449:0.874317:0.490385:0.874317:0.490385:0.859418:0.154449:0.859418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.311251:0.874317:0.319678:0.874317:0.319678:0.859443:0.311251:0.859443:0.000000
conjugado 2  = 8; luego,   = 4.:@0.102215:0.889405:0.308871:0.889405:0.308871:0.874506:0.102215:0.874506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.186647:0.889405:0.195074:0.889405:0.195074:0.874531:0.186647:0.874531:0.000000
b:@0.272032:0.889405:0.280459:0.889405:0.280459:0.874531:0.272032:0.874531:0.000000
Paso 4.:@0.498108:0.874317:0.550358:0.874317:0.550358:0.858739:0.498108:0.858739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Ubicamos los puntos :@0.550358:0.874317:0.698296:0.874317:0.698296:0.859418:0.550358:0.859418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dados, los ejes y dibujamos la :@0.498108:0.889405:0.697997:0.889405:0.697997:0.874506:0.498108:0.874506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipérbola.:@0.498108:0.904492:0.565268:0.904492:0.565268:0.889593:0.498108:0.889593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.369105:0.154372:0.369105:0.154372:0.353527:0.102121:0.353527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hallemos las coordenadas de los puntos en donde se :@0.154372:0.369105:0.516604:0.369105:0.516604:0.354206:0.154372:0.354206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lozalizan las antenas.:@0.102121:0.384192:0.239322:0.384192:0.239322:0.369293:0.102121:0.369293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Puesto que la distancia entre estas es de 80 m, ubicamos el origen :@0.102121:0.406409:0.545269:0.406409:0.545269:0.391510:0.102121:0.391510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de coordenadas como el centro de referencia, entonces tenemos, :@0.102121:0.421496:0.542904:0.421496:0.542904:0.406597:0.102121:0.406597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.102121:0.436584:0.109442:0.436584:0.109442:0.421710:0.102121:0.421710:0.000000
1:@0.109442:0.439459:0.114208:0.439459:0.114208:0.430773:0.109442:0.430773:0.000000
(40, 0) y   (–40, 0).:@0.114208:0.436583:0.235938:0.436583:0.235938:0.421684:0.114208:0.421684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.168905:0.436583:0.176225:0.436583:0.176225:0.421709:0.168905:0.421709:0.000000
2:@0.176224:0.439459:0.180990:0.439459:0.180990:0.430773:0.176224:0.430773:0.000000
Paso 3.:@0.552994:0.369103:0.605245:0.369103:0.605245:0.353525:0.552994:0.353525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos y :@0.605245:0.369103:0.703462:0.369103:0.703462:0.354204:0.605245:0.354204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reducimos la ecuación::@0.552994:0.384191:0.706111:0.384191:0.706111:0.369292:0.552994:0.369292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.592789:0.407417:0.599506:0.407417:0.599506:0.392692:0.592789:0.392692:0.000000
y:@0.633257:0.407417:0.639990:0.407417:0.639990:0.392692:0.633257:0.392692:0.000000
2:@0.600941:0.400521:0.605632:0.400521:0.605632:0.391973:0.600941:0.391973:0.000000
2:@0.641416:0.400521:0.646106:0.400521:0.646106:0.391973:0.641416:0.391973:0.000000
900 700:@0.587372:0.425062:0.651671:0.425062:0.651671:0.410312:0.587372:0.410312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.666797:0.415303:0.674890:0.415303:0.674890:0.400553:0.666797:0.400553:0.000000
−:@0.615350:0.415913:0.624455:0.415913:0.624455:0.401898:0.615350:0.401898:0.000000
=:@0.656099:0.415913:0.665205:0.415913:0.665205:0.401898:0.656099:0.401898:0.000000
Paso 2.:@0.102121:0.463173:0.154372:0.463173:0.154372:0.447595:0.102121:0.447595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean  ( ,  ), las coordenadas del receptor, establecemos :@0.154372:0.463173:0.532638:0.463173:0.532638:0.448274:0.154372:0.448274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x y:@0.194276:0.463173:0.226859:0.463173:0.226859:0.448299:0.194276:0.448299:0.000000:0.000000:0.000000:0.000000:0.000000
la condición planteada en el problema,:@0.102121:0.478261:0.362232:0.478261:0.362232:0.463362:0.102121:0.463362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
FP PF:@0.104383:0.499929:0.151019:0.499929:0.151019:0.485204:0.104383:0.485204:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.121332:0.522944:0.128049:0.522944:0.128049:0.508219:0.121332:0.508219:0.000000
y:@0.190541:0.522944:0.197275:0.522944:0.197275:0.508219:0.190541:0.508219:0.000000
x:@0.263299:0.522944:0.270016:0.522944:0.270016:0.508219:0.263299:0.508219:0.000000
y:@0.332790:0.522944:0.339523:0.522944:0.339523:0.508219:0.332790:0.508219:0.000000
x:@0.121332:0.546569:0.128049:0.546569:0.128049:0.531844:0.121332:0.531844:0.000000
y:@0.186113:0.546569:0.192846:0.546569:0.192846:0.531844:0.186113:0.531844:0.000000
x:@0.264095:0.546569:0.270812:0.546569:0.270812:0.531844:0.264095:0.531844:0.000000
1:@0.109566:0.501734:0.114256:0.501734:0.114256:0.493186:0.109566:0.493186:0.000000
2:@0.149569:0.501734:0.154260:0.501734:0.154260:0.493186:0.149569:0.493186:0.000000
2:@0.164266:0.516053:0.168956:0.516053:0.168956:0.507505:0.164266:0.507505:0.000000
2:@0.224954:0.516053:0.229644:0.516053:0.229644:0.507505:0.224954:0.507505:0.000000
2:@0.306511:0.516055:0.311202:0.516055:0.311202:0.507506:0.306511:0.507506:0.000000
2:@0.367199:0.516055:0.371890:0.516055:0.371890:0.507506:0.367199:0.507506:0.000000
2:@0.164268:0.539677:0.168959:0.539677:0.168959:0.531128:0.164268:0.531128:0.000000
2:@0.194285:0.539677:0.198976:0.539677:0.198976:0.531128:0.194285:0.531128:0.000000
60:@0.171004:0.499929:0.187108:0.499929:0.187108:0.485179:0.171004:0.485179:0.000000:0.000000
40):@0.143440:0.522944:0.164412:0.522946:0.164412:0.508196:0.143440:0.508194:0.000000:0.000000:0.000000
0):@0.212135:0.522944:0.225096:0.522946:0.225096:0.508196:0.212135:0.508194:0.000000:0.000000
40):@0.285689:0.522944:0.306661:0.522946:0.306661:0.508196:0.285689:0.508194:0.000000:0.000000:0.000000
0):@0.354380:0.522950:0.367345:0.522946:0.367345:0.508196:0.354380:0.508200:0.000000:0.000000
60:@0.389953:0.522950:0.406057:0.522950:0.406057:0.508200:0.389953:0.508200:0.000000:0.000000
40):@0.143436:0.546575:0.164412:0.546571:0.164412:0.531821:0.143436:0.531825:0.000000:0.000000:0.000000
60:@0.217023:0.546575:0.233127:0.546575:0.233127:0.531825:0.217023:0.531825:0.000000:0.000000
−:@0.124579:0.500545:0.133684:0.500545:0.133684:0.486530:0.124579:0.486530:0.000000
=:@0.159025:0.500545:0.168130:0.500545:0.168130:0.486530:0.159025:0.486530:0.000000
−:@0.131743:0.523560:0.140848:0.523560:0.140848:0.509545:0.131743:0.509545:0.000000
+:@0.173156:0.523560:0.182261:0.523560:0.182261:0.509545:0.173156:0.509545:0.000000
−:@0.200952:0.523560:0.210057:0.523560:0.210057:0.509545:0.200952:0.509545:0.000000
−:@0.235166:0.523560:0.244272:0.523560:0.244272:0.509545:0.235166:0.509545:0.000000
+:@0.273693:0.523560:0.282798:0.523560:0.282798:0.509545:0.273693:0.509545:0.000000
+:@0.315387:0.523560:0.324493:0.523560:0.324493:0.509545:0.315387:0.509545:0.000000
−:@0.343214:0.523560:0.352319:0.523560:0.352319:0.509545:0.343214:0.509545:0.000000
=:@0.377992:0.523560:0.387097:0.523560:0.387097:0.509545:0.377992:0.509545:0.000000
−:@0.131757:0.547181:0.140862:0.547181:0.140862:0.533166:0.131757:0.533166:0.000000
+:@0.173169:0.547181:0.182274:0.547181:0.182274:0.533166:0.173169:0.533166:0.000000
=:@0.205062:0.547181:0.214167:0.547181:0.214167:0.533166:0.205062:0.533166:0.000000
+:@0.235694:0.547181:0.244799:0.547181:0.244799:0.533166:0.235694:0.533166:0.000000
(:@0.115354:0.522946:0.119749:0.522946:0.119749:0.508196:0.115354:0.508196:0.000000
(:@0.184331:0.522946:0.188726:0.522946:0.188726:0.508196:0.184331:0.508196:0.000000
(:@0.257321:0.522946:0.261716:0.522946:0.261716:0.508196:0.257321:0.508196:0.000000
(:@0.326579:0.522946:0.330974:0.522946:0.330974:0.508196:0.326579:0.508196:0.000000
(:@0.115354:0.546571:0.119749:0.546571:0.119749:0.531821:0.115354:0.531821:0.000000
(:@0.258117:0.546571:0.262512:0.546571:0.262512:0.531821:0.258117:0.531821:0.000000
+ +:@0.274519:0.547181:0.283624:0.547181:0.283624:0.533166:0.274519:0.533166:0.000000:0.000000:0.000000
+:@0.316213:0.547181:0.325318:0.547181:0.325318:0.533166:0.316213:0.533166:0.000000
40):@0.286493:0.546571:0.307467:0.546571:0.307467:0.531821:0.286493:0.531821:0.000000:0.000000:0.000000
2:@0.307312:0.539677:0.312002:0.539677:0.312002:0.531128:0.307312:0.531128:0.000000
2:@0.341751:0.539677:0.346441:0.539677:0.346441:0.531128:0.341751:0.531128:0.000000
):@0.337519:0.546571:0.341914:0.546571:0.341914:0.531821:0.337519:0.531821:0.000000
y:@0.329176:0.546571:0.335910:0.546571:0.335910:0.531846:0.329176:0.531846:0.000000
Ejemplos paso a paso:@0.096359:0.294395:0.251252:0.294395:0.251252:0.279030:0.096359:0.279030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.321997:0.110585:0.321997:0.110585:0.305097:0.096359:0.305097:0.000000:0.000000
  Resolvamos el problema inicial.:@0.110585:0.321997:0.353789:0.321997:0.353789:0.305608:0.110585:0.305608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.342162:0.139756:0.342162:0.139756:0.325261:0.124848:0.325261:0.000000:0.000000
  Determinemos la ecuación que modela la trayectoria del receptor.:@0.139756:0.342162:0.638106:0.342162:0.638106:0.325773:0.139756:0.325773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.124848:0.579379:0.141064:0.579379:0.141064:0.562479:0.124848:0.562479:0.000000:0.000000
  ¿Cuál es la mínima distancia entre la trayectoria del receptor y cualquiera de :@0.141064:0.579379:0.716539:0.579379:0.716539:0.562990:0.141064:0.562990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las antenas?:@0.153337:0.595976:0.241419:0.595976:0.241419:0.579587:0.153337:0.579587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación general :@0.755006:0.251512:0.882004:0.251512:0.882004:0.236148:0.755006:0.236148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la hipérbola:@0.755006:0.266599:0.863478:0.266599:0.863478:0.251235:0.755006:0.251235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación general se :@0.755006:0.285245:0.910569:0.285245:0.910569:0.270346:0.755006:0.270346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtiene desarrollando la :@0.755006:0.300333:0.920770:0.300333:0.920770:0.285434:0.755006:0.285434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación cartesiana e :@0.755006:0.315420:0.902694:0.315420:0.902694:0.300521:0.755006:0.300521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualándola a cero::@0.755006:0.330508:0.880564:0.330508:0.880564:0.315609:0.755006:0.315609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ax:@0.755006:0.349154:0.771122:0.349154:0.771122:0.334280:0.755006:0.334280:0.000000:0.000000
2:@0.771120:0.343669:0.775886:0.343669:0.775886:0.334983:0.771120:0.334983:0.000000
 – :@0.775886:0.349166:0.791600:0.349166:0.791600:0.334267:0.775886:0.334267:0.000000:0.000000:0.000000
By:@0.791600:0.349166:0.806677:0.349166:0.806677:0.334292:0.791600:0.334292:0.000000:0.000000
2:@0.806677:0.343669:0.811443:0.343669:0.811443:0.334983:0.806677:0.334983:0.000000
 + :@0.811443:0.349166:0.828765:0.349166:0.828765:0.334267:0.811443:0.334267:0.000000:0.000000:0.000000
Dx:@0.828765:0.349166:0.846121:0.349166:0.846121:0.334292:0.828765:0.334292:0.000000:0.000000
 +   +   = 0.:@0.846121:0.349166:0.930603:0.349166:0.930603:0.334267:0.846121:0.334267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ey:@0.863443:0.349166:0.877548:0.349166:0.877548:0.334292:0.863443:0.334292:0.000000:0.000000
F:@0.894870:0.349166:0.902191:0.349166:0.902191:0.334292:0.894870:0.334292:0.000000
La forma general se :@0.755005:0.367812:0.889040:0.367812:0.889040:0.352913:0.755005:0.352913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtiene completando :@0.755005:0.382900:0.905223:0.382900:0.905223:0.368001:0.755005:0.368001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrados perfectos y :@0.755005:0.397987:0.906294:0.397987:0.906294:0.383088:0.755005:0.383088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupando.:@0.755005:0.413075:0.831898:0.413075:0.831898:0.398176:0.755005:0.398176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.755005:0.431721:0.812867:0.431721:0.812867:0.416822:0.755005:0.416822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.756514:0.445841:0.761910:0.445841:0.761910:0.436008:0.756514:0.436008:0.000000
16:@0.780861:0.445841:0.791591:0.445841:0.791591:0.436008:0.780861:0.436008:0.000000:0.000000
36:@0.811383:0.445841:0.822119:0.445841:0.822119:0.436008:0.811383:0.436008:0.000000:0.000000
96:@0.837333:0.445841:0.848068:0.445841:0.848068:0.436008:0.837333:0.436008:0.000000:0.000000
252 0:@0.863437:0.445841:0.894462:0.445841:0.894462:0.436008:0.863437:0.436008:0.000000:0.000000:0.000000:0.000000:0.000000
9(:@0.756514:0.459396:0.764634:0.459409:0.764634:0.449576:0.756514:0.449563:0.000000:0.000000
4:@0.784852:0.459396:0.790248:0.459396:0.790248:0.449563:0.784852:0.449563:0.000000
4):@0.805985:0.459396:0.814643:0.459409:0.814643:0.449576:0.805985:0.449563:0.000000:0.000000
16(:@0.822791:0.459396:0.836248:0.459409:0.836248:0.449576:0.822791:0.449563:0.000000:0.000000:0.000000
6:@0.856625:0.459396:0.862020:0.459396:0.862020:0.449563:0.856625:0.449563:0.000000
9):@0.877577:0.459396:0.886223:0.459409:0.886223:0.449576:0.877577:0.449563:0.000000:0.000000
252 36 144:@0.895831:0.459396:0.956167:0.459396:0.956167:0.449563:0.895831:0.449563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9(:@0.756514:0.472951:0.764634:0.472968:0.764634:0.463135:0.756514:0.463118:0.000000:0.000000
2:@0.768167:0.441244:0.771294:0.441244:0.771294:0.435545:0.768167:0.435545:0.000000
2:@0.798008:0.441244:0.801135:0.441244:0.801135:0.435545:0.798008:0.435545:0.000000
2:@0.771119:0.454800:0.774246:0.454800:0.774246:0.449101:0.771119:0.449101:0.000000
2:@0.842892:0.454800:0.846019:0.454800:0.846019:0.449101:0.842892:0.449101:0.000000
x:@0.762732:0.445841:0.767210:0.445841:0.767210:0.436025:0.762732:0.436025:0.000000
y:@0.792574:0.445841:0.797063:0.445841:0.797063:0.436025:0.792574:0.436025:0.000000
x:@0.822947:0.445841:0.827425:0.445841:0.827425:0.436025:0.822947:0.436025:0.000000
y:@0.849051:0.445841:0.853540:0.445841:0.853540:0.436025:0.849051:0.436025:0.000000
x:@0.765685:0.459401:0.770162:0.459401:0.770162:0.449584:0.765685:0.449584:0.000000
x:@0.791070:0.459401:0.795548:0.459401:0.795548:0.449584:0.791070:0.449584:0.000000
y:@0.837453:0.459401:0.841942:0.459401:0.841942:0.449584:0.837453:0.449584:0.000000
y:@0.862994:0.459401:0.867483:0.459401:0.867483:0.449584:0.862994:0.449584:0.000000
x:@0.765685:0.472960:0.770162:0.472960:0.770162:0.463143:0.765685:0.463143:0.000000
−:@0.774099:0.446256:0.780169:0.446256:0.780169:0.436913:0.774099:0.436913:0.000000
−:@0.803940:0.446256:0.810010:0.446256:0.810010:0.436913:0.803940:0.436913:0.000000
−:@0.829879:0.446256:0.835949:0.446256:0.835949:0.436913:0.829879:0.436913:0.000000
−:@0.855984:0.446256:0.862054:0.446256:0.862054:0.436913:0.855984:0.436913:0.000000
=:@0.881237:0.446256:0.887307:0.446256:0.887307:0.436913:0.881237:0.436913:0.000000
−:@0.777051:0.459816:0.783121:0.459816:0.783121:0.450472:0.777051:0.450472:0.000000
+:@0.798003:0.459816:0.804073:0.459816:0.804073:0.450472:0.798003:0.450472:0.000000
−:@0.816036:0.459816:0.822106:0.459816:0.822106:0.450472:0.816036:0.450472:0.000000
+:@0.848830:0.459816:0.854900:0.459816:0.854900:0.450472:0.848830:0.450472:0.000000
+:@0.869937:0.459816:0.876007:0.459816:0.876007:0.450472:0.869937:0.450472:0.000000
=:@0.888004:0.459816:0.894074:0.459816:0.894074:0.450472:0.888004:0.450472:0.000000
+:@0.913257:0.459816:0.919327:0.459816:0.919327:0.450472:0.913257:0.450472:0.000000
−:@0.933324:0.459816:0.939395:0.459816:0.939395:0.450472:0.933324:0.450472:0.000000
− −:@0.772626:0.473358:0.778696:0.473358:0.778696:0.464014:0.772626:0.464014:0.000000:0.000000:0.000000
−:@0.794209:0.473358:0.800279:0.473358:0.800279:0.464014:0.794209:0.464014:0.000000
+:@0.822569:0.473358:0.828639:0.473358:0.828639:0.464014:0.822569:0.464014:0.000000
=:@0.844715:0.473358:0.850785:0.473358:0.850785:0.464014:0.844715:0.464014:0.000000
−:@0.773511:0.486917:0.779581:0.486917:0.779581:0.477573:0.773511:0.477573:0.000000
−:@0.796475:0.492178:0.802546:0.492178:0.802546:0.482835:0.796475:0.482835:0.000000
−:@0.825720:0.486917:0.831790:0.486917:0.831790:0.477573:0.825720:0.477573:0.000000
=:@0.849249:0.492178:0.855319:0.492178:0.855319:0.482835:0.849249:0.482835:0.000000
−:@0.768148:0.510169:0.774219:0.510169:0.774219:0.500825:0.768148:0.500825:0.000000
−:@0.791113:0.515430:0.797183:0.515430:0.797183:0.506086:0.791113:0.506086:0.000000
−:@0.810340:0.510169:0.816410:0.510169:0.816410:0.500825:0.810340:0.500825:0.000000
2 ):@0.780090:0.472960:0.792801:0.472951:0.792801:0.463118:0.780090:0.463126:0.000000:0.000000:0.000000
16(:@0.800975:0.472960:0.814417:0.472951:0.814417:0.463118:0.800975:0.463126:0.000000:0.000000:0.000000
3):@0.830220:0.472960:0.838509:0.472951:0.838509:0.463118:0.830220:0.463126:0.000000:0.000000
144:@0.851858:0.472960:0.867934:0.472960:0.867934:0.463126:0.851858:0.463126:0.000000:0.000000:0.000000
9(:@0.757402:0.486519:0.765514:0.486511:0.765514:0.476677:0.757402:0.476686:0.000000:0.000000
6):@0.781118:0.486519:0.789761:0.486511:0.789761:0.476677:0.781118:0.476686:0.000000:0.000000
144:@0.767264:0.498286:0.783340:0.498286:0.783340:0.488452:0.767264:0.488452:0.000000:0.000000:0.000000
16(:@0.804105:0.486519:0.817557:0.486511:0.817557:0.476677:0.804105:0.476686:0.000000:0.000000:0.000000
4):@0.833504:0.486519:0.842147:0.486511:0.842147:0.476677:0.833504:0.476686:0.000000:0.000000
144:@0.817173:0.498286:0.833250:0.498286:0.833250:0.488452:0.817173:0.488452:0.000000:0.000000:0.000000
1:@0.856369:0.491780:0.861765:0.491780:0.861765:0.481947:0.856369:0.481947:0.000000
6 ) (:@0.775733:0.509770:0.802166:0.509754:0.802166:0.499920:0.775733:0.499937:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.767256:0.521515:0.777992:0.521515:0.777992:0.511681:0.767256:0.511681:0.000000:0.000000
4):@0.818109:0.509751:0.826756:0.509754:0.826756:0.499920:0.818109:0.499918:0.000000:0.000000
9:@0.812455:0.521515:0.817851:0.521515:0.817851:0.511681:0.812455:0.511681:0.000000
2:@0.785316:0.468355:0.788443:0.468355:0.788443:0.462656:0.785316:0.462656:0.000000
2:@0.838399:0.468355:0.841526:0.468355:0.841526:0.462656:0.838399:0.462656:0.000000
2:@0.789648:0.481912:0.792775:0.481912:0.792775:0.476213:0.789648:0.476213:0.000000
2:@0.842044:0.481912:0.845171:0.481912:0.845171:0.476213:0.842044:0.476213:0.000000
2:@0.781324:0.505155:0.784451:0.505155:0.784451:0.499456:0.781324:0.499456:0.000000
2:@0.826653:0.505155:0.829780:0.505155:0.829780:0.499456:0.826653:0.499456:0.000000
(:@0.757210:0.509754:0.760140:0.509754:0.760140:0.499920:0.757210:0.499920:0.000000
y:@0.815633:0.472951:0.820122:0.472951:0.820122:0.463135:0.815633:0.463135:0.000000
x:@0.766575:0.486511:0.771053:0.486511:0.771053:0.476694:0.766575:0.476694:0.000000
y:@0.818784:0.486511:0.823273:0.486511:0.823273:0.476694:0.818784:0.476694:0.000000
x:@0.761202:0.509754:0.765680:0.509754:0.765680:0.499937:0.761202:0.499937:0.000000
y:@0.803382:0.509754:0.807871:0.509754:0.807871:0.499937:0.803382:0.499937:0.000000
= =:@0.833854:0.515421:0.839924:0.515421:0.839924:0.506078:0.833854:0.506078:0.000000:0.000000:0.000000
1:@0.840986:0.515015:0.846382:0.515015:0.846382:0.505182:0.840986:0.505182:0.000000
     Matemática:@0.775870:0.219070:0.883411:0.219070:0.883411:0.202169:0.775870:0.202169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–20:@0.826157:0.150973:0.838472:0.150973:0.838472:0.144123:0.826157:0.144123:0.000000:0.000000:0.000000
–10:@0.826157:0.140459:0.838472:0.140459:0.838472:0.133608:0.826157:0.133608:0.000000:0.000000:0.000000
–40:@0.826157:0.172372:0.838472:0.172372:0.838472:0.165522:0.826157:0.165522:0.000000:0.000000:0.000000
–30:@0.826157:0.161603:0.838472:0.161603:0.838472:0.154753:0.826157:0.154753:0.000000:0.000000:0.000000
10:@0.830192:0.119423:0.838472:0.119423:0.838472:0.112573:0.830192:0.112573:0.000000:0.000000
20:@0.830192:0.108679:0.838472:0.108679:0.838472:0.101829:0.830192:0.101829:0.000000:0.000000
30:@0.830192:0.097516:0.838472:0.097516:0.838472:0.090666:0.830192:0.090666:0.000000:0.000000
40:@0.830192:0.086771:0.838472:0.086771:0.838472:0.079921:0.830192:0.079921:0.000000:0.000000
–20 –10 0:@0.806724:0.133711:0.838625:0.133711:0.838625:0.126861:0.806724:0.126861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–30:@0.792190:0.133711:0.804505:0.133711:0.804505:0.126861:0.792190:0.126861:0.000000:0.000000:0.000000
–50 –40:@0.763452:0.133711:0.790092:0.133711:0.790092:0.126861:0.763452:0.126861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–60:@0.749136:0.133711:0.761451:0.133711:0.761451:0.126861:0.749136:0.126861:0.000000:0.000000:0.000000
10 20 30 40 50:@0.851739:0.133711:0.917140:0.133711:0.917140:0.126861:0.851739:0.126861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.834156:0.078218:0.837270:0.078218:0.837270:0.072266:0.834156:0.072266:0.000000
x:@0.922882:0.132762:0.925996:0.132762:0.925996:0.126810:0.922882:0.126810:0.000000
P x y:@0.893879:0.088461:0.908651:0.088461:0.908651:0.082509:0.893879:0.082509:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ):@0.897459:0.088461:0.910656:0.088461:0.910656:0.082467:0.897459:0.082467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.903178:0.124446:0.906462:0.124446:0.906462:0.118494:0.903178:0.118494:0.000000
1:@0.906463:0.125656:0.908575:0.125656:0.908575:0.122162:0.906463:0.122162:0.000000
F:@0.777260:0.124444:0.780544:0.124444:0.780544:0.118492:0.777260:0.118492:0.000000
2:@0.780544:0.125655:0.782655:0.125655:0.782655:0.122161:0.780544:0.122161:0.000000
–4:@0.844635:0.887428:0.852802:0.887428:0.852802:0.880585:0.844635:0.880585:0.000000:0.000000
–2:@0.844635:0.876924:0.852802:0.876924:0.852802:0.870080:0.844635:0.870080:0.000000:0.000000
–8:@0.844635:0.908806:0.852802:0.908806:0.852802:0.901963:0.844635:0.901963:0.000000:0.000000
–10:@0.840499:0.919873:0.852802:0.919873:0.852802:0.913030:0.840499:0.913030:0.000000:0.000000:0.000000
–6:@0.844635:0.898048:0.852802:0.898048:0.852802:0.891204:0.844635:0.891204:0.000000:0.000000
2:@0.848666:0.855909:0.852802:0.855909:0.852802:0.849066:0.848666:0.849066:0.000000
4:@0.848666:0.845175:0.852802:0.845175:0.852802:0.838331:0.848666:0.838331:0.000000
6:@0.848666:0.834023:0.852802:0.834023:0.852802:0.827180:0.848666:0.827180:0.000000
–4 –2 0:@0.822093:0.870189:0.852955:0.870189:0.852955:0.863346:0.822093:0.863346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–6:@0.808016:0.870189:0.816183:0.870189:0.816183:0.863346:0.808016:0.863346:0.000000:0.000000
–10 –8:@0.778186:0.870189:0.802679:0.870189:0.802679:0.863346:0.778186:0.863346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–12:@0.763666:0.870189:0.775969:0.870189:0.775969:0.863346:0.763666:0.863346:0.000000:0.000000:0.000000
–14:@0.749476:0.870189:0.761779:0.870189:0.761779:0.863346:0.749476:0.863346:0.000000:0.000000:0.000000
2:@0.867838:0.870189:0.871974:0.870189:0.871974:0.863346:0.867838:0.863346:0.000000
4:@0.881649:0.870189:0.885785:0.870189:0.885785:0.863346:0.881649:0.863346:0.000000
6:@0.896467:0.870189:0.900603:0.870189:0.900603:0.863346:0.896467:0.863346:0.000000
8:@0.910141:0.870189:0.914277:0.870189:0.914277:0.863346:0.910141:0.863346:0.000000
y:@0.848490:0.825307:0.851601:0.825307:0.851601:0.819361:0.848490:0.819361:0.000000
x:@0.923276:0.869402:0.926387:0.869402:0.926387:0.863456:0.923276:0.863456:0.000000
O:@0.795110:0.860525:0.799822:0.860525:0.799822:0.854580:0.795110:0.854580:0.000000
(−4, 1):@0.799822:0.860525:0.818227:0.860525:0.818227:0.854537:0.799822:0.854537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.879721:0.854993:0.883523:0.854993:0.883523:0.849047:0.879721:0.849047:0.000000
1:@0.883526:0.856203:0.885635:0.856203:0.885635:0.852712:0.883526:0.852712:0.000000
(2, 1):@0.885635:0.854992:0.899835:0.854992:0.899835:0.849004:0.885635:0.849004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La hipérbola tiene dos :@0.755006:0.604703:0.907219:0.604703:0.907219:0.589804:0.755006:0.589804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntotas, que se cruzan :@0.755006:0.619790:0.916883:0.619790:0.916883:0.604891:0.755006:0.604891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en su centro. :@0.755006:0.634878:0.844295:0.634878:0.844295:0.619979:0.755006:0.619979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sus ecuaciones son::@0.755006:0.653524:0.887652:0.653524:0.887652:0.638625:0.755006:0.638625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.758776:0.679945:0.765509:0.679945:0.765509:0.665219:0.758776:0.665219:0.000000
b:@0.794350:0.672053:0.802692:0.672053:0.802692:0.657328:0.794350:0.657328:0.000000
a:@0.794441:0.689705:0.802784:0.689705:0.802784:0.674980:0.794441:0.674980:0.000000
xy k:@0.806880:0.679945:0.853931:0.679945:0.853931:0.665219:0.806880:0.665219:0.000000:0.000000:0.000000:0.000000
b:@0.882689:0.672053:0.891032:0.672053:0.891032:0.657328:0.882689:0.657328:0.000000
a:@0.882785:0.689705:0.891127:0.689705:0.891127:0.674980:0.882785:0.674980:0.000000
xh:@0.899652:0.679946:0.930019:0.679946:0.930019:0.665221:0.899652:0.665221:0.000000:0.000000
=±:@0.769753:0.680555:0.791115:0.680555:0.791115:0.666539:0.769753:0.666539:0.000000:0.000000
−= ±:@0.835944:0.680555:0.879452:0.680555:0.879452:0.666539:0.835944:0.666539:0.000000:0.000000:0.000000:0.000000
−:@0.910067:0.680555:0.919172:0.680555:0.919172:0.666539:0.910067:0.666539:0.000000
 ;:@0.815456:0.679945:0.821973:0.679945:0.821973:0.665195:0.815456:0.665195:0.000000:0.000000
(:@0.893670:0.679945:0.898065:0.679945:0.898065:0.665195:0.893670:0.665195:0.000000
):@0.930040:0.679945:0.934435:0.679945:0.934435:0.665195:0.930040:0.665195:0.000000
Con eje transversal :@0.755006:0.711075:0.884065:0.711075:0.884065:0.696176:0.755006:0.696176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
horizontal.:@0.755006:0.726163:0.825031:0.726163:0.825031:0.711264:0.755006:0.711264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.758776:0.752579:0.765509:0.752579:0.765509:0.737854:0.758776:0.737854:0.000000
b:@0.794348:0.744693:0.802690:0.744693:0.802690:0.729968:0.794348:0.729968:0.000000
a:@0.794447:0.762343:0.802789:0.762343:0.802789:0.747618:0.794447:0.747618:0.000000
xy k:@0.806880:0.752579:0.853931:0.752579:0.853931:0.737854:0.806880:0.737854:0.000000:0.000000:0.000000:0.000000
b:@0.882690:0.744693:0.891032:0.744693:0.891032:0.729968:0.882690:0.729968:0.000000
a:@0.882789:0.762343:0.891131:0.762343:0.891131:0.747618:0.882789:0.747618:0.000000
xh:@0.899656:0.752585:0.930023:0.752585:0.930023:0.737860:0.899656:0.737860:0.000000:0.000000
=±:@0.769753:0.753189:0.791115:0.753189:0.791115:0.739173:0.769753:0.739173:0.000000:0.000000
−= ±:@0.835944:0.753189:0.879452:0.753189:0.879452:0.739173:0.835944:0.739173:0.000000:0.000000:0.000000:0.000000
−:@0.910067:0.753189:0.919172:0.753189:0.919172:0.739173:0.910067:0.739173:0.000000
 ;:@0.815456:0.752579:0.821973:0.752579:0.821973:0.737829:0.815456:0.737829:0.000000:0.000000
(:@0.893670:0.752579:0.898065:0.752579:0.898065:0.737829:0.893670:0.737829:0.000000
):@0.930040:0.752579:0.934435:0.752579:0.934435:0.737829:0.930040:0.737829:0.000000
Con eje transversal :@0.755006:0.783708:0.884065:0.783708:0.884065:0.768809:0.755006:0.768809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vertical.:@0.755006:0.798796:0.806001:0.798796:0.806001:0.783897:0.755006:0.783897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775870:0.572262:0.883411:0.572262:0.883411:0.555361:0.775870:0.555361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Que es la ecuación ordinaria de la hipérbola con centro O(0, 0) y eje transversal hori-:@0.096359:0.096842:0.712537:0.096842:0.712537:0.080453:0.096359:0.080453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zontal. Si el eje transversal es vertical, la elipse con centro en el origen, es::@0.096359:0.113439:0.630274:0.113439:0.630274:0.097050:0.096359:0.097050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.368205:0.135406:0.375687:0.135406:0.375687:0.119045:0.368205:0.119045:0.000000
a:@0.367210:0.155018:0.376479:0.155018:0.376479:0.138656:0.367210:0.138656:0.000000
x:@0.403899:0.135406:0.411363:0.135406:0.411363:0.119045:0.403899:0.119045:0.000000
b:@0.402904:0.155018:0.412173:0.155018:0.412173:0.138656:0.402904:0.138656:0.000000
2:@0.377261:0.127744:0.382473:0.127744:0.382473:0.118246:0.377261:0.118246:0.000000
2:@0.376843:0.147350:0.382054:0.147350:0.382054:0.137852:0.376843:0.137852:0.000000
2:@0.412966:0.127744:0.418178:0.127744:0.418178:0.118246:0.412966:0.118246:0.000000
2:@0.412547:0.147350:0.417759:0.147350:0.417759:0.137852:0.412547:0.137852:0.000000
1:@0.436838:0.144167:0.445831:0.144167:0.445831:0.127778:0.436838:0.127778:0.000000
−:@0.388631:0.144845:0.398748:0.144845:0.398748:0.129272:0.388631:0.129272:0.000000
=:@0.424971:0.144845:0.435087:0.144845:0.435087:0.129272:0.424971:0.129272:0.000000
Si el centro de la elipse se traslada al punto( ,  ), las ecuaciones de la elipse con eje :@0.096359:0.179514:0.716504:0.179514:0.716504:0.163125:0.096359:0.163125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h k:@0.420796:0.179514:0.445839:0.179514:0.445839:0.163152:0.420796:0.163152:0.000000:0.000000:0.000000
transversal horizontal y vertical, son respectivamente::@0.096359:0.196110:0.485730:0.196110:0.485730:0.179721:0.096359:0.179721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.247273:0.218064:0.252156:0.218064:0.252156:0.201675:0.247273:0.201675:0.000000
):@0.287685:0.218064:0.292568:0.218064:0.292568:0.201675:0.287685:0.201675:0.000000
(:@0.317316:0.218064:0.322200:0.218064:0.322200:0.201675:0.317316:0.201675:0.000000
):@0.357470:0.218064:0.362354:0.218064:0.362354:0.201675:0.357470:0.201675:0.000000
(:@0.416310:0.218064:0.421193:0.218064:0.421193:0.201675:0.416310:0.201675:0.000000
):@0.456463:0.218064:0.461347:0.218064:0.461347:0.201675:0.456463:0.201675:0.000000
(:@0.486095:0.218064:0.490978:0.218064:0.490978:0.201675:0.486095:0.201675:0.000000
):@0.526507:0.218064:0.531390:0.218064:0.531390:0.201675:0.526507:0.201675:0.000000
xh:@0.253925:0.218064:0.287666:0.218064:0.287666:0.201703:0.253925:0.201703:0.000000:0.000000
a:@0.265332:0.237675:0.274601:0.237675:0.274601:0.221314:0.265332:0.221314:0.000000
yk:@0.324227:0.218064:0.355775:0.218064:0.355775:0.201703:0.324227:0.201703:0.000000:0.000000
b:@0.335062:0.237675:0.344331:0.237675:0.344331:0.221314:0.335062:0.221314:0.000000
yk:@0.423220:0.218064:0.454768:0.218064:0.454768:0.201703:0.423220:0.201703:0.000000:0.000000
a:@0.434221:0.237675:0.443490:0.237675:0.443490:0.221314:0.434221:0.221314:0.000000
xh:@0.492747:0.218064:0.526488:0.218064:0.526488:0.201703:0.492747:0.201703:0.000000:0.000000
b:@0.504007:0.237675:0.513276:0.237675:0.513276:0.221314:0.504007:0.221314:0.000000
−:@0.265498:0.218741:0.275615:0.218741:0.275615:0.203169:0.265498:0.203169:0.000000
−:@0.303760:0.227504:0.313877:0.227504:0.313877:0.211931:0.303760:0.211931:0.000000
−:@0.335799:0.218741:0.345916:0.218741:0.345916:0.203169:0.335799:0.203169:0.000000
=:@0.374172:0.227504:0.384289:0.227504:0.384289:0.211931:0.374172:0.211931:0.000000
−:@0.434796:0.218741:0.444913:0.218741:0.444913:0.203169:0.434796:0.203169:0.000000
−:@0.472541:0.227504:0.482657:0.227504:0.482657:0.211931:0.472541:0.211931:0.000000
−:@0.504318:0.218741:0.514435:0.218741:0.514435:0.203169:0.504318:0.203169:0.000000
=:@0.543216:0.227504:0.553333:0.227504:0.553333:0.211931:0.543216:0.211931:0.000000
2:@0.292401:0.210403:0.297612:0.210403:0.297612:0.200905:0.292401:0.200905:0.000000
2:@0.274968:0.230008:0.280180:0.230008:0.280180:0.220510:0.274968:0.220510:0.000000
2:@0.362184:0.210403:0.367396:0.210403:0.367396:0.200905:0.362184:0.200905:0.000000
2:@0.344700:0.230008:0.349912:0.230008:0.349912:0.220510:0.344700:0.220510:0.000000
2:@0.461181:0.210403:0.466393:0.210403:0.466393:0.200905:0.461181:0.200905:0.000000
2:@0.443852:0.230008:0.449064:0.230008:0.449064:0.220510:0.443852:0.220510:0.000000
2:@0.531226:0.210403:0.536438:0.210403:0.536438:0.200905:0.531226:0.200905:0.000000
2:@0.513636:0.230008:0.518848:0.230008:0.518848:0.220510:0.513636:0.220510:0.000000
1  y :@0.386056:0.226826:0.412810:0.226826:0.412810:0.210437:0.386056:0.210437:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.555093:0.226826:0.564086:0.226826:0.564086:0.210437:0.555093:0.210437:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000