﻿98:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
2. :@0.115209:0.787908:0.133950:0.787908:0.133950:0.770772:0.115209:0.770772:0.000000:0.000000:0.000000
Sea la hipérbola :@0.148452:0.787908:0.269448:0.787908:0.269448:0.771519:0.148452:0.771519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.285045:0.792804:0.291181:0.792804:0.291181:0.767264:0.285045:0.767264:0.000000
):@0.328386:0.792804:0.334523:0.792804:0.334523:0.767264:0.328386:0.767264:0.000000
0,3,3.:@0.291901:0.787908:0.338041:0.787908:0.338041:0.771519:0.291901:0.771519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.292635:0.777300:0.300190:0.777300:0.300190:0.760551:0.292635:0.760551:0.000000
H:@0.272060:0.787908:0.283172:0.787908:0.283172:0.771547:0.272060:0.771547:0.000000
a) :@0.148447:0.811627:0.167170:0.811627:0.167170:0.794726:0.148447:0.794726:0.000000:0.000000:0.000000
Identifica:@0.181691:0.811627:0.253061:0.811627:0.253061:0.795003:0.181691:0.795003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la hipérbola con :@0.253061:0.811627:0.492323:0.811627:0.492323:0.795238:0.253061:0.795238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje   como eje principal.:@0.181691:0.828223:0.358850:0.828223:0.358850:0.811834:0.181691:0.811834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.207545:0.828223:0.215026:0.828223:0.215026:0.811862:0.207545:0.811862:0.000000
 :@0.148447:0.915160:0.152262:0.915160:0.152262:0.898260:0.148447:0.898260:0.000000
3. :@0.507677:0.593294:0.526418:0.593294:0.526418:0.576158:0.507677:0.576158:0.000000:0.000000:0.000000
Sea la hipérbola :@0.540921:0.593294:0.661917:0.593294:0.661917:0.576905:0.540921:0.576905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.677511:0.598190:0.683648:0.598190:0.683648:0.572650:0.677511:0.572650:0.000000
):@0.717407:0.598190:0.723544:0.598190:0.723544:0.572650:0.717407:0.572650:0.000000
0,1,3.:@0.684370:0.593294:0.727053:0.593294:0.727053:0.576905:0.684370:0.576905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.685093:0.582686:0.692649:0.582686:0.692649:0.565938:0.685093:0.565938:0.000000
H:@0.664528:0.593294:0.675640:0.593294:0.675640:0.576933:0.664528:0.576933:0.000000
a) :@0.540916:0.617013:0.559638:0.617013:0.559638:0.600112:0.540916:0.600112:0.000000:0.000000:0.000000
Identifica:@0.574159:0.617013:0.645529:0.617013:0.645529:0.600389:0.574159:0.600389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la hipérbola con :@0.645529:0.617013:0.884792:0.617013:0.884792:0.600624:0.645529:0.600624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje   como eje principal.:@0.574159:0.633609:0.751302:0.633609:0.751302:0.617220:0.574159:0.617220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.600013:0.633609:0.607476:0.633609:0.607476:0.617248:0.600013:0.617248:0.000000
 :@0.540916:0.707933:0.544730:0.707933:0.544730:0.691033:0.540916:0.691033:0.000000
b) :@0.540917:0.738195:0.560948:0.738195:0.560948:0.721295:0.540917:0.721295:0.000000:0.000000:0.000000
Obtén:@0.574161:0.738195:0.622791:0.738195:0.622791:0.721571:0.574161:0.721571:0.000000:0.000000:0.000000:0.000000:0.000000
 los focos de la hipérbola.:@0.622791:0.738195:0.807915:0.738195:0.807915:0.721806:0.622791:0.721806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.812519:0.544732:0.812519:0.544732:0.795619:0.540917:0.795619:0.000000
c) :@0.540917:0.842776:0.558553:0.842776:0.558553:0.825876:0.540917:0.825876:0.000000:0.000000:0.000000
Calcula:@0.574161:0.842776:0.629591:0.842776:0.629591:0.826152:0.574161:0.826152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las asíntotas.:@0.629591:0.842776:0.725102:0.842776:0.725102:0.826387:0.629591:0.826387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.917100:0.544732:0.917100:0.544732:0.900200:0.540917:0.900200:0.000000
Taller:@0.175844:0.130781:0.236739:0.130781:0.236739:0.096834:0.175844:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve problemas aplicados a la geometría y a la física. (I.2.) (Ref. I.M.5.6.1.):@0.256865:0.118806:0.608308:0.118806:0.608308:0.108377:0.256865:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.178214:0.133950:0.178214:0.133950:0.161078:0.115209:0.161078:0.000000:0.000000:0.000000
Sea la hipérbola :@0.148452:0.178214:0.269448:0.178214:0.269448:0.161825:0.148452:0.161825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.285045:0.182886:0.291181:0.182886:0.291181:0.157346:0.285045:0.157346:0.000000
):@0.325364:0.182886:0.331501:0.182886:0.331501:0.157346:0.325364:0.157346:0.000000
0,2,1.:@0.291901:0.177990:0.335004:0.177990:0.335004:0.161601:0.291901:0.161601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.292638:0.167382:0.300194:0.167382:0.300194:0.150633:0.292638:0.150633:0.000000
H:@0.272060:0.177990:0.283172:0.177990:0.283172:0.161629:0.272060:0.161629:0.000000
a) :@0.148447:0.201944:0.167170:0.201944:0.167170:0.185043:0.148447:0.185043:0.000000:0.000000:0.000000
Identifica:@0.181691:0.201944:0.253061:0.201944:0.253061:0.185320:0.181691:0.185320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la hipérbola con :@0.253061:0.201944:0.491881:0.201944:0.491881:0.185555:0.253061:0.185555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje   como eje principal.:@0.181691:0.218540:0.358832:0.218540:0.358832:0.202151:0.181691:0.202151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.207545:0.218540:0.215008:0.218540:0.215008:0.202179:0.207545:0.202179:0.000000
 :@0.148447:0.305478:0.152262:0.305478:0.152262:0.288577:0.148447:0.288577:0.000000
b) :@0.148451:0.335732:0.168481:0.335732:0.168481:0.318831:0.148451:0.318831:0.000000:0.000000:0.000000
Obtén:@0.181694:0.335732:0.230325:0.335732:0.230325:0.319108:0.181694:0.319108:0.000000:0.000000:0.000000:0.000000:0.000000
 los focos de la hipérbola.:@0.230325:0.335732:0.415449:0.335732:0.415449:0.319343:0.230325:0.319343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.422669:0.152265:0.422669:0.152265:0.405769:0.148451:0.405769:0.000000
c) :@0.148451:0.452929:0.166086:0.452929:0.166086:0.436028:0.148451:0.436028:0.000000:0.000000:0.000000
Calcula:@0.181694:0.452929:0.237124:0.452929:0.237124:0.436305:0.181694:0.436305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las asíntotas.:@0.237124:0.452929:0.332635:0.452929:0.332635:0.436540:0.237124:0.436540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.539866:0.152265:0.539866:0.152265:0.522966:0.148451:0.522966:0.000000
d) :@0.148451:0.570127:0.168518:0.570127:0.168518:0.553226:0.148451:0.553226:0.000000:0.000000:0.000000
Grafica:@0.181694:0.570127:0.235189:0.570127:0.235189:0.553503:0.181694:0.553503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la hipérbola.:@0.235189:0.570127:0.329408:0.570127:0.329408:0.553738:0.235189:0.553738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.726077:0.152265:0.726077:0.152265:0.709177:0.148451:0.709177:0.000000
0:@0.320854:0.664529:0.327395:0.664529:0.327395:0.652610:0.320854:0.652610:0.000000
4:@0.443777:0.665022:0.450317:0.665022:0.450317:0.653102:0.443777:0.653102:0.000000
5:@0.472966:0.665022:0.479506:0.665022:0.479506:0.653102:0.472966:0.653102:0.000000
3:@0.416075:0.665022:0.422615:0.665022:0.422615:0.653102:0.416075:0.653102:0.000000
2:@0.386122:0.665022:0.392662:0.665022:0.392662:0.653102:0.386122:0.653102:0.000000
2:@0.316767:0.611772:0.323307:0.611772:0.323307:0.599853:0.316767:0.599853:0.000000
3:@0.316767:0.590247:0.323307:0.590247:0.323307:0.578328:0.316767:0.578328:0.000000
y:@0.340274:0.583579:0.346171:0.583579:0.346171:0.571660:0.340274:0.571660:0.000000
x:@0.468557:0.647721:0.474306:0.647721:0.474306:0.635802:0.468557:0.635802:0.000000
1:@0.358246:0.665012:0.364786:0.665012:0.364786:0.653092:0.358246:0.653092:0.000000
1:@0.316566:0.634947:0.323106:0.634947:0.323106:0.623028:0.316566:0.623028:0.000000
–3:@0.239183:0.665012:0.252424:0.665012:0.252424:0.653092:0.239183:0.653092:0.000000:0.000000
–3:@0.313416:0.721530:0.326658:0.721530:0.326658:0.709611:0.313416:0.709611:0.000000:0.000000
–4:@0.210771:0.664519:0.224012:0.664519:0.224012:0.652600:0.210771:0.652600:0.000000:0.000000
–5:@0.181756:0.664519:0.194997:0.664519:0.194997:0.652600:0.181756:0.652600:0.000000:0.000000
–2:@0.268801:0.665012:0.282043:0.665012:0.282043:0.653092:0.268801:0.653092:0.000000:0.000000
–2:@0.313403:0.700478:0.326644:0.700478:0.326644:0.688558:0.313403:0.688558:0.000000:0.000000
–1:@0.296838:0.664519:0.310079:0.664519:0.310079:0.652600:0.296838:0.652600:0.000000:0.000000
–1:@0.313403:0.677293:0.326644:0.677293:0.326644:0.665374:0.313403:0.665374:0.000000:0.000000
c) :@0.540917:0.300262:0.558553:0.300262:0.558553:0.283362:0.540917:0.283362:0.000000:0.000000:0.000000
Calcula:@0.574161:0.300262:0.629591:0.300262:0.629591:0.283638:0.574161:0.283638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las asíntotas.:@0.629591:0.300262:0.725102:0.300262:0.725102:0.283873:0.629591:0.283873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.374586:0.544732:0.374586:0.544732:0.357686:0.540917:0.357686:0.000000
d) :@0.540917:0.404843:0.560985:0.404843:0.560985:0.387943:0.540917:0.387943:0.000000:0.000000:0.000000
Grafica:@0.574161:0.404843:0.627656:0.404843:0.627656:0.388219:0.574161:0.388219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la hipérbola.:@0.627656:0.404843:0.721875:0.404843:0.721875:0.388454:0.627656:0.388454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.560794:0.544732:0.560794:0.544732:0.543893:0.540917:0.543893:0.000000
8:@0.855809:0.500141:0.862349:0.500141:0.862349:0.488221:0.855809:0.488221:0.000000
0:@0.707960:0.500141:0.714501:0.500141:0.714501:0.488221:0.707960:0.488221:0.000000
6:@0.821073:0.500141:0.827613:0.500141:0.827613:0.488221:0.821073:0.488221:0.000000
4:@0.785491:0.500141:0.792031:0.500141:0.792031:0.488221:0.785491:0.488221:0.000000
4:@0.706446:0.437467:0.712986:0.437467:0.712986:0.425547:0.706446:0.425547:0.000000
y:@0.731467:0.418778:0.737364:0.418778:0.737364:0.406859:0.731467:0.406859:0.000000
x:@0.866130:0.480074:0.871879:0.480074:0.871879:0.468155:0.866130:0.468155:0.000000
2:@0.752374:0.500130:0.758915:0.500130:0.758915:0.488211:0.752374:0.488211:0.000000
2:@0.706205:0.464996:0.712745:0.464996:0.712745:0.453077:0.706205:0.453077:0.000000
–6:@0.611560:0.500130:0.624802:0.500130:0.624802:0.488211:0.611560:0.488211:0.000000:0.000000
–8:@0.577814:0.500130:0.591056:0.500130:0.591056:0.488211:0.577814:0.488211:0.000000:0.000000
–4:@0.646767:0.500130:0.660008:0.500130:0.660008:0.488211:0.646767:0.488211:0.000000:0.000000
–4:@0.701434:0.542849:0.714675:0.542849:0.714675:0.530929:0.701434:0.530929:0.000000:0.000000
–2:@0.680084:0.500130:0.693326:0.500130:0.693326:0.488211:0.680084:0.488211:0.000000:0.000000
–2:@0.701434:0.515309:0.714675:0.515309:0.714675:0.503389:0.701434:0.503389:0.000000:0.000000
b) :@0.540917:0.172018:0.560948:0.172018:0.560948:0.155117:0.540917:0.155117:0.000000:0.000000:0.000000
Obtén:@0.574161:0.172018:0.622791:0.172018:0.622791:0.155394:0.574161:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000
 los focos de la hipérbola.:@0.622791:0.172018:0.807915:0.172018:0.807915:0.155629:0.622791:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.258955:0.544732:0.258955:0.544732:0.242054:0.540917:0.242054:0.000000