﻿100:@0.054057:0.510692:0.082417:0.510692:0.082417:0.494068:0.054057:0.494068:0.000000:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Ecuación paramétrica de la recta:@0.115891:0.141978:0.602732:0.141978:0.602732:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.434727:0.272331:0.434727:0.272331:0.416290:0.115209:0.416290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115209:0.454573:0.133931:0.454573:0.133931:0.437673:0.115209:0.437673:0.000000:0.000000:0.000000
Los vértices de un cuadrilátero son los puntos :@0.148452:0.454573:0.491868:0.454573:0.491868:0.438184:0.148452:0.438184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.148452:0.471170:0.158348:0.471170:0.158348:0.454809:0.148452:0.454809:0.000000
(0,6),  (–2,4),  (0,0),  (2,4).:@0.158348:0.471170:0.360112:0.471170:0.360112:0.454781:0.158348:0.454781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.201045:0.471170:0.209890:0.471170:0.209890:0.454809:0.201045:0.454809:0.000000
C:@0.261801:0.471170:0.271715:0.471170:0.271715:0.454809:0.261801:0.454809:0.000000
D:@0.314412:0.471170:0.325947:0.471170:0.325947:0.454809:0.314412:0.454809:0.000000
  Representemos:@0.360112:0.471170:0.487842:0.471170:0.487842:0.454546:0.360112:0.454546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.487842:0.471170:0.491877:0.471170:0.491877:0.454781:0.487842:0.454781:0.000000
gráficamente los puntos en el sistema de coor-:@0.148434:0.487766:0.487834:0.487766:0.487834:0.471377:0.148434:0.471377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denadas rectangulares y :@0.148434:0.504363:0.331179:0.504363:0.331179:0.487974:0.148434:0.487974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos:@0.331382:0.504363:0.419447:0.504363:0.419447:0.487738:0.331382:0.487738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecua-:@0.419447:0.504363:0.487869:0.504363:0.487869:0.487974:0.419447:0.487974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones paramétricas de las rectas que pasan :@0.148434:0.520959:0.491868:0.520959:0.491868:0.504570:0.148434:0.504570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por los lados del cuadrilátero.:@0.148434:0.537555:0.362928:0.537555:0.362928:0.521166:0.148434:0.521166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115190:0.557720:0.119005:0.557720:0.119005:0.540819:0.115190:0.540819:0.000000
Solución:@0.148434:0.557720:0.217648:0.557720:0.217648:0.540819:0.148434:0.540819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.284091:0.588581:0.290228:0.588581:0.290228:0.568648:0.284091:0.568648:0.000000
)(:@0.314508:0.588581:0.341007:0.588581:0.341007:0.568648:0.314508:0.568648:0.000000:0.000000
) ( ):@0.375233:0.588581:0.432148:0.588581:0.432148:0.568648:0.375233:0.568648:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.162487:0.613135:0.181505:0.613135:0.181505:0.593202:0.162487:0.593202:0.000000:0.000000
(:@0.263161:0.613135:0.269298:0.613135:0.269298:0.593202:0.263161:0.593202:0.000000
) ( ):@0.303523:0.613135:0.366199:0.613135:0.366199:0.593202:0.303523:0.593202:0.000000:0.000000:0.000000:0.000000:0.000000
() (:@0.162487:0.637689:0.202969:0.637689:0.202969:0.617756:0.162487:0.617756:0.000000:0.000000:0.000000:0.000000
):@0.294781:0.637689:0.300918:0.637689:0.300918:0.617756:0.294781:0.617756:0.000000
=:@0.163683:0.586127:0.137830:0.586127:0.137830:0.570554:0.163683:0.570554:0.000000
=:@0.199654:0.586127:0.173800:0.586127:0.173800:0.570554:0.199654:0.570554:0.000000
=:@0.271432:0.586127:0.245578:0.586127:0.245578:0.570554:0.271432:0.570554:0.000000
=:@0.384043:0.586127:0.358189:0.586127:0.358189:0.570554:0.384043:0.570554:0.000000
=:@0.184157:0.610690:0.163425:0.610690:0.163425:0.595117:0.184157:0.595117:0.000000
+:@0.219654:0.610690:0.198923:0.610690:0.198923:0.595117:0.219654:0.595117:0.000000
=:@0.250492:0.610690:0.229761:0.610690:0.229761:0.595117:0.250492:0.595117:0.000000
+:@0.311379:0.610690:0.290648:0.610690:0.290648:0.595117:0.311379:0.595117:0.000000
=:@0.184157:0.635253:0.155004:0.635253:0.155004:0.619680:0.184157:0.619680:0.000000
+:@0.223426:0.635253:0.194273:0.635253:0.194273:0.619680:0.223426:0.619680:0.000000
+:@0.267403:0.635253:0.238251:0.635253:0.238251:0.619680:0.267403:0.619680:0.000000
=⎨:@0.174372:0.668611:0.196135:0.668888:0.196135:0.653315:0.174372:0.653038:0.000000:0.000000
=⎧:@0.209181:0.658391:0.196135:0.657298:0.196135:0.641725:0.209181:0.642818:0.000000:0.000000
+:@0.242008:0.658391:0.219287:0.658391:0.219287:0.642818:0.242008:0.642818:0.000000
=+:@0.209181:0.679136:0.244010:0.679136:0.244010:0.663563:0.209181:0.663563:0.000000:0.000000
⎩:@0.187031:0.680837:0.196135:0.680837:0.196135:0.665264:0.187031:0.665264:0.000000
=⎨:@0.305245:0.668625:0.327008:0.668902:0.327008:0.653329:0.305245:0.653052:0.000000:0.000000
=:@0.340054:0.658405:0.350171:0.658405:0.350171:0.642832:0.340054:0.642832:0.000000
= +:@0.340054:0.679150:0.373784:0.679150:0.373784:0.663577:0.340054:0.663577:0.000000:0.000000:0.000000
⎧:@0.317904:0.657312:0.327008:0.657312:0.327008:0.641739:0.317904:0.641739:0.000000
⎩:@0.317904:0.680851:0.327008:0.680851:0.327008:0.665278:0.317904:0.665278:0.000000
=⎨:@0.175606:0.712329:0.197369:0.712606:0.197369:0.697033:0.175606:0.696756:0.000000:0.000000
=⎧:@0.210416:0.702108:0.197369:0.701016:0.197369:0.685443:0.210416:0.686535:0.000000:0.000000
+:@0.243243:0.702108:0.220522:0.702108:0.220522:0.686535:0.243243:0.686535:0.000000
=+:@0.210416:0.722854:0.245244:0.722854:0.245244:0.707281:0.210416:0.707281:0.000000:0.000000
⎩:@0.188266:0.724555:0.197369:0.724555:0.197369:0.708982:0.188266:0.708982:0.000000
=⎨:@0.307253:0.712343:0.329016:0.712619:0.329016:0.697046:0.307253:0.696770:0.000000:0.000000
= +:@0.342063:0.702122:0.375793:0.702122:0.375793:0.686549:0.342063:0.686549:0.000000:0.000000:0.000000
=:@0.342063:0.722868:0.352180:0.722868:0.352180:0.707295:0.342063:0.707295:0.000000
⎧:@0.319913:0.701030:0.329016:0.701030:0.329016:0.685457:0.319913:0.685457:0.000000
⎩:@0.319913:0.724569:0.329016:0.724569:0.329016:0.708996:0.319913:0.708996:0.000000
–:@0.235883:0.585505:0.245097:0.585505:0.245097:0.569835:0.235883:0.569835:0.000000
0,6 – –2,4:@0.290486:0.585505:0.374284:0.585505:0.374284:0.569835:0.290486:0.569835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,2:@0.403088:0.585505:0.425795:0.585505:0.425795:0.569835:0.403088:0.569835:0.000000:0.000000:0.000000
–2,4:@0.269919:0.610068:0.302571:0.610068:0.302571:0.594398:0.269919:0.594398:0.000000:0.000000:0.000000:0.000000
2,2:@0.337134:0.610068:0.359840:0.610068:0.359840:0.594398:0.337134:0.594398:0.000000:0.000000:0.000000
–2 2 ,4 2:@0.203598:0.634630:0.288499:0.634630:0.288499:0.618960:0.203598:0.618960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2 2:@0.222173:0.657768:0.263101:0.657768:0.263101:0.642099:0.222173:0.642099:0.000000:0.000000:0.000000:0.000000
42:@0.222541:0.678514:0.254992:0.678514:0.254992:0.662844:0.222541:0.662844:0.000000:0.000000
....:@0.269716:0.667989:0.282044:0.667989:0.282044:0.652319:0.269716:0.652319:0.000000:0.000000:0.000000:0.000000
0–2:@0.352696:0.657768:0.385136:0.657768:0.385136:0.642099:0.352696:0.642099:0.000000:0.000000:0.000000
04:@0.352696:0.678514:0.385515:0.678514:0.385515:0.662844:0.352696:0.662844:0.000000:0.000000
–2 2:@0.223444:0.701458:0.264372:0.701458:0.264372:0.685789:0.223444:0.685789:0.000000:0.000000:0.000000:0.000000
4 4:@0.223813:0.722204:0.256992:0.722204:0.256992:0.706534:0.223813:0.706534:0.000000:0.000000:0.000000
....:@0.270988:0.711679:0.283316:0.711679:0.283316:0.696009:0.270988:0.696009:0.000000:0.000000:0.000000:0.000000
02:@0.354741:0.701458:0.386824:0.701458:0.386824:0.685789:0.354741:0.685789:0.000000:0.000000
6–2:@0.355110:0.722204:0.387550:0.722204:0.387550:0.706534:0.355110:0.706534:0.000000:0.000000:0.000000
a AB OA OB:@0.151411:0.585505:0.267995:0.585505:0.267995:0.570112:0.151411:0.570112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.152516:0.610068:0.173865:0.610068:0.173865:0.594674:0.152516:0.594674:0.000000:0.000000:0.000000
OA ta:@0.196805:0.610068:0.247485:0.610068:0.247485:0.594674:0.196805:0.594674:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.323079:0.610068:0.328460:0.610068:0.328460:0.594674:0.323079:0.594674:0.000000
x t:@0.152516:0.634630:0.173865:0.634630:0.173865:0.619237:0.152516:0.619237:0.000000:0.000000:0.000000
t:@0.243921:0.634630:0.249302:0.634630:0.249302:0.619237:0.243921:0.619237:0.000000
t:@0.287897:0.634630:0.293278:0.634630:0.293278:0.619237:0.287897:0.619237:0.000000
AB:@0.152516:0.667989:0.170944:0.667989:0.170944:0.652596:0.152516:0.652596:0.000000:0.000000
x:@0.197646:0.657768:0.205109:0.657768:0.205109:0.642375:0.197646:0.642375:0.000000
t:@0.262511:0.657768:0.267892:0.657768:0.267892:0.642375:0.262511:0.642375:0.000000
y:@0.197646:0.678514:0.205127:0.678514:0.205127:0.663121:0.197646:0.663121:0.000000
t:@0.254394:0.678514:0.259774:0.678514:0.259774:0.663121:0.254394:0.663121:0.000000
BC:@0.282247:0.667989:0.300951:0.667989:0.300951:0.652596:0.282247:0.652596:0.000000:0.000000
x:@0.328519:0.657768:0.335982:0.657768:0.335982:0.642375:0.328519:0.642375:0.000000
t:@0.384539:0.657768:0.389920:0.657768:0.389920:0.642375:0.384539:0.642375:0.000000
y:@0.328519:0.678514:0.336000:0.678514:0.336000:0.663121:0.328519:0.663121:0.000000
t:@0.385626:0.678514:0.391007:0.678514:0.391007:0.663121:0.385626:0.663121:0.000000
CD:@0.151042:0.711679:0.172160:0.711679:0.172160:0.696286:0.151042:0.696286:0.000000:0.000000
x:@0.198899:0.701458:0.206362:0.701458:0.206362:0.686065:0.198899:0.686065:0.000000
t:@0.263764:0.701458:0.269145:0.701458:0.269145:0.686065:0.263764:0.686065:0.000000
y:@0.198899:0.722204:0.206380:0.722204:0.206380:0.706811:0.198899:0.706811:0.000000
t:@0.257112:0.722204:0.262492:0.722204:0.262492:0.706811:0.257112:0.706811:0.000000
DA:@0.283500:0.711679:0.304913:0.711679:0.304913:0.696286:0.283500:0.696286:0.000000:0.000000
x:@0.330564:0.701458:0.338027:0.701458:0.338027:0.686065:0.330564:0.686065:0.000000
t:@0.386216:0.701458:0.391596:0.701458:0.391596:0.686065:0.386216:0.686065:0.000000
y:@0.330564:0.722204:0.338046:0.722204:0.338046:0.706811:0.330564:0.706811:0.000000
t:@0.386953:0.722204:0.392334:0.722204:0.392334:0.706811:0.386953:0.706811:0.000000
   :@0.152173:0.574306:0.267904:0.574306:0.267904:0.557558:0.152173:0.557558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.183905:0.574306:0.191461:0.574306:0.191461:0.557558:0.183905:0.557558:0.000000
:@0.219876:0.574306:0.227431:0.574306:0.227431:0.557558:0.219876:0.557558:0.000000
:@0.255220:0.574306:0.262776:0.574306:0.262776:0.557558:0.255220:0.557558:0.000000
:@0.152382:0.598864:0.159938:0.598864:0.159938:0.582115:0.152382:0.582115:0.000000
:@0.197561:0.598864:0.217058:0.598864:0.217058:0.582115:0.197561:0.582115:0.000000:0.000000
:@0.204367:0.598864:0.177315:0.598864:0.177315:0.582115:0.204367:0.582115:0.000000
:@0.238974:0.598864:0.211922:0.598864:0.211922:0.582115:0.238974:0.582115:0.000000
:@0.152382:0.623426:0.159938:0.623426:0.159938:0.606678:0.152382:0.606678:0.000000
:@0.151811:0.656785:0.170828:0.656785:0.170828:0.640037:0.151811:0.640037:0.000000:0.000000
:@0.158611:0.656785:0.166166:0.656785:0.166166:0.640037:0.158611:0.640037:0.000000
:@0.282997:0.656785:0.301701:0.656785:0.301701:0.640037:0.282997:0.640037:0.000000:0.000000
:@0.289797:0.656785:0.297353:0.656785:0.297353:0.640037:0.289797:0.640037:0.000000
:@0.151793:0.700475:0.172063:0.700475:0.172063:0.683727:0.151793:0.683727:0.000000:0.000000
:@0.158592:0.700475:0.166148:0.700475:0.166148:0.683727:0.158592:0.683727:0.000000
:@0.284232:0.700475:0.303728:0.700475:0.303728:0.683727:0.284232:0.683727:0.000000:0.000000
:@0.291032:0.700475:0.298587:0.700475:0.298587:0.683727:0.291032:0.683727:0.000000
D:@0.322036:0.813945:0.330707:0.813945:0.330707:0.802026:0.322036:0.802026:0.000000
B:@0.204688:0.813945:0.211456:0.813945:0.211456:0.802026:0.204688:0.802026:0.000000
A:@0.264074:0.768217:0.271914:0.768217:0.271914:0.756298:0.264074:0.756298:0.000000
C:@0.262761:0.903603:0.270400:0.903603:0.270400:0.891684:0.262761:0.891684:0.000000
b:@0.229484:0.854136:0.236881:0.854136:0.236881:0.842217:0.229484:0.842217:0.000000
c:@0.298745:0.854136:0.304722:0.854136:0.304722:0.842217:0.298745:0.842217:0.000000
a:@0.230140:0.786272:0.236225:0.786272:0.236225:0.774353:0.230140:0.774353:0.000000
5:@0.254545:0.797799:0.261085:0.797799:0.261085:0.785880:0.254545:0.785880:0.000000
2:@0.254545:0.853442:0.261085:0.853442:0.261085:0.841523:0.254545:0.841523:0.000000
6:@0.254545:0.778286:0.261085:0.778286:0.261085:0.766366:0.254545:0.766366:0.000000
3:@0.254545:0.833929:0.261085:0.833929:0.261085:0.822010:0.254545:0.822010:0.000000
4:@0.254545:0.815663:0.261085:0.815663:0.261085:0.803743:0.254545:0.803743:0.000000
1:@0.254545:0.871306:0.261085:0.871306:0.261085:0.859387:0.254545:0.859387:0.000000
1:@0.287299:0.897971:0.293840:0.897971:0.293840:0.886051:0.287299:0.886051:0.000000
–3 –2 –1:@0.189144:0.897971:0.248112:0.897971:0.248112:0.886051:0.189144:0.886051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.253138:0.897971:0.259678:0.897971:0.259678:0.886051:0.253138:0.886051:0.000000
2:@0.310860:0.897971:0.317400:0.897971:0.317400:0.886051:0.310860:0.886051:0.000000
3:@0.337959:0.897971:0.344499:0.897971:0.344499:0.886051:0.337959:0.886051:0.000000
d:@0.303864:0.786282:0.311155:0.786282:0.311155:0.774363:0.303864:0.774363:0.000000
x:@0.366547:0.890154:0.371974:0.890154:0.371974:0.878255:0.366547:0.878255:0.000000
y:@0.263861:0.745665:0.269302:0.745665:0.269302:0.733766:0.263861:0.733766:0.000000
b) :@0.540706:0.451289:0.560737:0.451289:0.560737:0.434389:0.540706:0.434389:0.000000:0.000000:0.000000
Encontremos:@0.573950:0.451289:0.675615:0.451289:0.675615:0.434665:0.573950:0.434665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación paramétrica :@0.675615:0.451289:0.884140:0.451289:0.884140:0.434900:0.675615:0.434900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la recta dada mediante la ecuación :@0.573950:0.467886:0.884177:0.467886:0.884177:0.451497:0.573950:0.451497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.880106:0.467886:0.884142:0.467886:0.884142:0.451497:0.880106:0.451497:0.000000
vectorial: :@0.573950:0.488258:0.643827:0.488258:0.643827:0.471869:0.573950:0.471869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
() (:@0.657854:0.490130:0.698340:0.490130:0.698340:0.470196:0.657854:0.470196:0.000000:0.000000:0.000000:0.000000
) ( ):@0.730680:0.490130:0.792929:0.490130:0.792929:0.470196:0.730680:0.470196:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.679527:0.487674:0.689643:0.487674:0.689643:0.472101:0.679527:0.472101:0.000000
+:@0.738532:0.487674:0.748649:0.487674:0.748649:0.472101:0.738532:0.472101:0.000000
–3,2:@0.699001:0.486997:0.730494:0.486997:0.730494:0.470608:0.699001:0.470608:0.000000:0.000000:0.000000:0.000000
2,3:@0.764327:0.486997:0.787030:0.486997:0.787030:0.470608:0.764327:0.470608:0.000000:0.000000:0.000000
xt:@0.647901:0.486997:0.669259:0.486997:0.669259:0.470635:0.647901:0.470635:0.000000:0.000000
t:@0.750249:0.486997:0.755629:0.486997:0.755629:0.470635:0.750249:0.470635:0.000000
:@0.647751:0.475846:0.655306:0.475846:0.655306:0.459097:0.647751:0.459097:0.000000
 :@0.540706:0.508415:0.544742:0.508415:0.544742:0.492026:0.540706:0.492026:0.000000
Operamos::@0.573950:0.508415:0.657777:0.508415:0.657777:0.491791:0.573950:0.491791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540706:0.564829:0.544613:0.564829:0.544613:0.548205:0.540706:0.548205:0.000000
() (:@0.587978:0.537118:0.628464:0.537118:0.628464:0.517184:0.587978:0.517184:0.000000:0.000000:0.000000:0.000000
) (:@0.663421:0.537118:0.696775:0.537118:0.696775:0.517184:0.663421:0.517184:0.000000:0.000000:0.000000
):@0.722150:0.537118:0.728286:0.537118:0.728286:0.517184:0.722150:0.517184:0.000000
(:@0.576565:0.560143:0.582701:0.560143:0.582701:0.540209:0.576565:0.540209:0.000000
) (:@0.608813:0.560143:0.636414:0.560143:0.636414:0.540209:0.608813:0.540209:0.000000:0.000000:0.000000
):@0.728534:0.560143:0.734671:0.560143:0.734671:0.540209:0.728534:0.540209:0.000000
=:@0.609651:0.534663:0.619767:0.534663:0.619767:0.519091:0.609651:0.519091:0.000000
+:@0.671273:0.534663:0.681390:0.534663:0.681390:0.519091:0.671273:0.519091:0.000000
=:@0.617611:0.557691:0.627728:0.557691:0.627728:0.542118:0.617611:0.542118:0.000000
+:@0.656457:0.557691:0.666574:0.557691:0.666574:0.542118:0.656457:0.542118:0.000000
+:@0.701586:0.557691:0.711703:0.557691:0.711703:0.542118:0.701586:0.542118:0.000000
–3, 2:@0.629129:0.533986:0.663247:0.533986:0.663247:0.517597:0.629129:0.517597:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.651205:0.533986:0.654411:0.533986:0.654411:0.517597:0.651205:0.517597:0.000000
2, 3:@0.697080:0.533986:0.722399:0.533986:0.722399:0.517597:0.697080:0.517597:0.000000:0.000000:0.000000:0.000000
.:@0.710366:0.533986:0.713573:0.533986:0.713573:0.517597:0.710366:0.517597:0.000000
,:@0.593627:0.557013:0.596833:0.557013:0.596833:0.540624:0.593627:0.540624:0.000000
–32 , 23:@0.637079:0.557013:0.722713:0.557013:0.722713:0.540624:0.637079:0.540624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.687958:0.557013:0.691165:0.557013:0.691165:0.540624:0.687958:0.540624:0.000000
xt:@0.578019:0.533986:0.599376:0.533986:0.599376:0.517625:0.578019:0.517625:0.000000:0.000000
t:@0.682983:0.533986:0.688364:0.533986:0.688364:0.517625:0.682983:0.517625:0.000000
xy:@0.584450:0.557013:0.607116:0.557013:0.607116:0.540652:0.584450:0.540652:0.000000:0.000000
t:@0.676975:0.557011:0.682356:0.557011:0.682356:0.540649:0.676975:0.540649:0.000000
t:@0.721681:0.557011:0.727062:0.557011:0.727062:0.540649:0.721681:0.540649:0.000000
:@0.577871:0.522836:0.585427:0.522836:0.585427:0.506088:0.577871:0.506088:0.000000
 :@0.540706:0.588554:0.544613:0.588554:0.544613:0.571930:0.540706:0.571930:0.000000
Ecuaciones paramétricas::@0.573950:0.588554:0.767125:0.588554:0.767125:0.571930:0.573950:0.571930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540706:0.641137:0.544613:0.641137:0.544613:0.624513:0.540706:0.624513:0.000000
=⎧:@0.598710:0.614000:0.585663:0.612908:0.585663:0.597335:0.598710:0.598427:0.000000:0.000000
+:@0.631124:0.614000:0.608827:0.614000:0.608827:0.598427:0.631124:0.598427:0.000000
= +:@0.598710:0.634746:0.632073:0.634746:0.632073:0.619173:0.598710:0.619173:0.000000:0.000000:0.000000
⎨:@0.576560:0.624498:0.585663:0.624498:0.585663:0.608925:0.576560:0.608925:0.000000
⎩:@0.576560:0.636447:0.585663:0.636447:0.585663:0.620874:0.576560:0.620874:0.000000
–3 2:@0.611738:0.613337:0.652246:0.613337:0.652246:0.597667:0.611738:0.597667:0.000000:0.000000:0.000000:0.000000
23:@0.611370:0.634082:0.643083:0.634082:0.643083:0.618412:0.611370:0.618412:0.000000:0.000000
x:@0.587192:0.613323:0.594656:0.613323:0.594656:0.597930:0.587192:0.597930:0.000000
t:@0.651634:0.613323:0.657015:0.613323:0.657015:0.597930:0.651634:0.597930:0.000000
y:@0.587192:0.634068:0.594674:0.634068:0.594674:0.618675:0.587192:0.618675:0.000000
t:@0.642052:0.634068:0.647432:0.634068:0.647432:0.618675:0.642052:0.618675:0.000000
Construimos:@0.573950:0.664865:0.671450:0.664865:0.671450:0.648241:0.573950:0.648241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tabla asignando valores :@0.679135:0.664865:0.884142:0.664865:0.884142:0.648476:0.679135:0.648476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.880106:0.664865:0.884142:0.664865:0.884142:0.648476:0.880106:0.648476:0.000000
a   y :@0.573950:0.681461:0.607912:0.681461:0.607912:0.665072:0.573950:0.665072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.586351:0.681461:0.591732:0.681461:0.591732:0.665100:0.586351:0.665100:0.000000
graficamos::@0.607912:0.681461:0.696291:0.681461:0.696291:0.664837:0.607912:0.664837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540706:0.759021:0.544613:0.759021:0.544613:0.742397:0.540706:0.742397:0.000000
t:@0.587496:0.705296:0.592338:0.705296:0.592338:0.690570:0.587496:0.690570:0.000000
0:@0.616685:0.705296:0.624778:0.705296:0.624778:0.690546:0.616685:0.690546:0.000000
1:@0.647500:0.705296:0.655593:0.705296:0.655593:0.690546:0.647500:0.690546:0.000000
–1:@0.674168:0.705296:0.690554:0.705296:0.690554:0.690546:0.674168:0.690546:0.000000:0.000000
x:@0.586584:0.727576:0.593300:0.727576:0.593300:0.712851:0.586584:0.712851:0.000000
–3 –1 –5:@0.612555:0.727576:0.690571:0.727576:0.690571:0.712826:0.612555:0.712826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.586584:0.749857:0.593317:0.749857:0.593317:0.735132:0.586584:0.735132:0.000000
2:@0.616718:0.749857:0.624812:0.749857:0.624812:0.735107:0.616718:0.735107:0.000000
5:@0.647533:0.749857:0.655626:0.749857:0.655626:0.735107:0.647533:0.735107:0.000000
–1:@0.674201:0.749857:0.690587:0.749857:0.690587:0.735107:0.674201:0.735107:0.000000:0.000000
 :@0.540706:0.922786:0.544613:0.922786:0.544613:0.906162:0.540706:0.906162:0.000000
5:@0.729471:0.791769:0.736011:0.791769:0.736011:0.779850:0.729471:0.779850:0.000000
y:@0.738798:0.775525:0.744239:0.775525:0.744239:0.763626:0.738798:0.763626:0.000000
x:@0.781122:0.887163:0.786549:0.887163:0.786549:0.875264:0.781122:0.875264:0.000000
4:@0.729471:0.810407:0.736011:0.810407:0.736011:0.798488:0.729471:0.798488:0.000000
3:@0.729471:0.829045:0.736011:0.829045:0.736011:0.817126:0.729471:0.817126:0.000000
2:@0.729471:0.849253:0.736011:0.849253:0.736011:0.837334:0.729471:0.837334:0.000000
1:@0.729471:0.868193:0.736011:0.868193:0.736011:0.856274:0.729471:0.856274:0.000000
1:@0.760550:0.895069:0.767090:0.895069:0.767090:0.883150:0.760550:0.883150:0.000000
–1:@0.725155:0.906576:0.738396:0.906576:0.738396:0.894656:0.725155:0.894656:0.000000:0.000000
–1:@0.710292:0.895069:0.723534:0.895069:0.723534:0.883150:0.710292:0.883150:0.000000:0.000000
–2:@0.684949:0.895069:0.698190:0.895069:0.698190:0.883150:0.684949:0.883150:0.000000:0.000000
–3:@0.660652:0.895069:0.673893:0.895069:0.673893:0.883150:0.660652:0.883150:0.000000:0.000000
–4:@0.638391:0.895069:0.651632:0.895069:0.651632:0.883150:0.638391:0.883150:0.000000:0.000000
–5:@0.614737:0.895069:0.627978:0.895069:0.627978:0.883150:0.614737:0.883150:0.000000:0.000000
B:@0.705917:0.785537:0.712685:0.785537:0.712685:0.773617:0.705917:0.773617:0.000000
A:@0.660230:0.843513:0.668070:0.843513:0.668070:0.831594:0.660230:0.831594:0.000000
Para determinar las ecuaciones paramétricas de la recta, se toman los siguientes vectores, de forma ge-:@0.115209:0.247382:0.879901:0.247382:0.879901:0.230993:0.115209:0.230993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neral, :@0.115209:0.267795:0.158772:0.267795:0.158772:0.251406:0.115209:0.251406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.187395:0.269626:0.193531:0.269626:0.193531:0.249692:0.187395:0.249692:0.000000
):@0.232727:0.269626:0.238863:0.269626:0.238863:0.249692:0.232727:0.249692:0.000000
(:@0.269011:0.269626:0.275147:0.269626:0.275147:0.249692:0.269011:0.249692:0.000000
):@0.300154:0.269626:0.306290:0.269626:0.306290:0.249692:0.300154:0.249692:0.000000
=:@0.174725:0.267171:0.184842:0.267171:0.184842:0.251599:0.174725:0.251599:0.000000
=:@0.256341:0.267171:0.266458:0.267171:0.266458:0.251599:0.256341:0.251599:0.000000
≠:@0.332834:0.267171:0.342951:0.267171:0.342951:0.251599:0.332834:0.251599:0.000000
,:@0.211009:0.266494:0.214215:0.266494:0.214215:0.250105:0.211009:0.250105:0.000000
,:@0.240327:0.266494:0.243534:0.266494:0.243534:0.250105:0.240327:0.250105:0.000000
,:@0.285715:0.266494:0.288921:0.266494:0.288921:0.250105:0.285715:0.250105:0.000000
;:@0.307754:0.266494:0.310961:0.266494:0.310961:0.250105:0.307754:0.250105:0.000000
...:@0.311882:0.266494:0.321169:0.266494:0.321169:0.250105:0.311882:0.250105:0.000000:0.000000:0.000000
0,  tomando en cuenta que al menos un componente es no nulo. De la :@0.345494:0.266494:0.883953:0.267798:0.883953:0.251409:0.345494:0.250105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.203465:0.268498:0.208677:0.268498:0.208677:0.258999:0.203465:0.258999:0.000000
0:@0.225188:0.268498:0.230399:0.268498:0.230399:0.258999:0.225188:0.258999:0.000000
u:@0.162476:0.266494:0.171800:0.266494:0.171800:0.250132:0.162476:0.250132:0.000000
x y:@0.195295:0.266494:0.224503:0.266494:0.224503:0.250132:0.195295:0.250132:0.000000:0.000000:0.000000
v:@0.244460:0.266494:0.252200:0.266494:0.252200:0.250132:0.244460:0.250132:0.000000
ab:@0.275806:0.266494:0.299522:0.266494:0.299522:0.250132:0.275806:0.250132:0.000000:0.000000
v:@0.320935:0.266494:0.328674:0.266494:0.328674:0.250132:0.320935:0.250132:0.000000
:@0.163417:0.255341:0.088988:0.255341:0.088988:0.238593:0.163417:0.238593:0.000000
:@0.245402:0.255341:0.170972:0.255341:0.170972:0.238593:0.245402:0.238593:0.000000
:@0.321876:0.255341:0.329432:0.255341:0.329432:0.238593:0.321876:0.238593:0.000000
equivalencia se tiene::@0.115207:0.284394:0.272008:0.284394:0.272008:0.268005:0.115207:0.268005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.271614:0.298046:0.279169:0.298046:0.279169:0.281297:0.271614:0.281297:0.000000
:@0.406680:0.310069:0.419985:0.310069:0.419985:0.293321:0.406680:0.293321:0.000000
:@0.470551:0.346291:0.483855:0.346291:0.483855:0.329542:0.470551:0.329542:0.000000
(:@0.281719:0.312330:0.287856:0.312330:0.287856:0.292396:0.281719:0.292396:0.000000
):@0.313968:0.312330:0.320104:0.312330:0.320104:0.292396:0.313968:0.292396:0.000000
(:@0.424482:0.312330:0.430618:0.312330:0.430618:0.292396:0.424482:0.292396:0.000000
)(:@0.456730:0.312330:0.484335:0.312330:0.484335:0.292396:0.456730:0.292396:0.000000:0.000000
) (:@0.523534:0.312330:0.556894:0.312330:0.556894:0.292396:0.523534:0.292396:0.000000:0.000000:0.000000
)(:@0.581904:0.312330:0.609508:0.312330:0.609508:0.292396:0.581904:0.292396:0.000000:0.000000
):@0.705457:0.312330:0.711594:0.312330:0.711594:0.292396:0.705457:0.292396:0.000000
∈ ⇔∃ ∈:@0.323128:0.309876:0.403338:0.309876:0.403338:0.294303:0.323128:0.294303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.465518:0.309876:0.437932:0.309876:0.437932:0.294303:0.465518:0.294303:0.000000
+:@0.531378:0.309876:0.503792:0.309876:0.503792:0.294303:0.531378:0.294303:0.000000
=:@0.590695:0.309876:0.563109:0.309876:0.563109:0.294303:0.590695:0.294303:0.000000
+:@0.628398:0.309876:0.600812:0.309876:0.600812:0.294303:0.628398:0.294303:0.000000
+:@0.678501:0.309876:0.650915:0.309876:0.650915:0.294303:0.678501:0.294303:0.000000
⇔∃ ∈:@0.413055:0.346097:0.467191:0.346097:0.467191:0.330524:0.413055:0.330524:0.000000:0.000000:0.000000:0.000000
=⎧:@0.510482:0.335877:0.497435:0.334784:0.497435:0.319211:0.510482:0.320304:0.000000:0.000000
+:@0.541735:0.335877:0.520598:0.335877:0.520598:0.320304:0.541735:0.320304:0.000000
=⎩:@0.510482:0.356622:0.497435:0.358323:0.497435:0.342750:0.510482:0.341049:0.000000:0.000000
+:@0.541735:0.356622:0.520598:0.356622:0.520598:0.341049:0.541735:0.341049:0.000000
⎨:@0.488332:0.346374:0.497435:0.346374:0.497435:0.330801:0.488332:0.330801:0.000000
,:@0.298766:0.309198:0.301973:0.309198:0.301973:0.293528:0.298766:0.293528:0.000000
,:@0.441529:0.309198:0.444735:0.309198:0.444735:0.293528:0.441529:0.293528:0.000000
,:@0.501787:0.309198:0.504994:0.309198:0.504994:0.293528:0.501787:0.293528:0.000000
,:@0.567436:0.309198:0.570642:0.309198:0.570642:0.293528:0.567436:0.293528:0.000000
,:@0.655334:0.309198:0.658540:0.309198:0.658540:0.293528:0.655334:0.293528:0.000000
0:@0.494265:0.311202:0.499477:0.311202:0.499477:0.302121:0.494265:0.302121:0.000000
0:@0.515988:0.311202:0.521199:0.311202:0.521199:0.302121:0.515988:0.302121:0.000000
0:@0.619441:0.311202:0.624653:0.311202:0.624653:0.302121:0.619441:0.302121:0.000000
0:@0.669542:0.311202:0.674754:0.311202:0.674754:0.302121:0.669542:0.302121:0.000000
0:@0.532797:0.337211:0.538009:0.337211:0.538009:0.328130:0.532797:0.328130:0.000000
0:@0.532797:0.357955:0.538009:0.357955:0.538009:0.348874:0.532797:0.348874:0.000000
x x y:@0.271772:0.309198:0.312287:0.309198:0.312287:0.293805:0.271772:0.293805:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.339252:0.309198:0.346881:0.309198:0.346881:0.293805:0.339252:0.293805:0.000000
t:@0.380609:0.309198:0.385990:0.309198:0.385990:0.293805:0.380609:0.293805:0.000000
x y:@0.432385:0.309198:0.455049:0.309198:0.455049:0.293805:0.432385:0.293805:0.000000:0.000000:0.000000
x y:@0.486098:0.309198:0.515306:0.309198:0.515306:0.293805:0.486098:0.293805:0.000000:0.000000:0.000000
t a b:@0.543109:0.309198:0.581277:0.309198:0.581277:0.293805:0.543109:0.293805:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.611271:0.309198:0.618735:0.309198:0.618735:0.293805:0.611271:0.293805:0.000000
ta y:@0.640116:0.309198:0.668856:0.309198:0.668856:0.293805:0.640116:0.293805:0.000000:0.000000:0.000000:0.000000
tb:@0.690219:0.309198:0.704832:0.309198:0.704832:0.293805:0.690219:0.293805:0.000000:0.000000
t:@0.444475:0.345420:0.449856:0.345420:0.449856:0.330026:0.444475:0.330026:0.000000
x x:@0.498966:0.335199:0.532080:0.335199:0.532080:0.319806:0.498966:0.319806:0.000000:0.000000:0.000000
ta:@0.553462:0.335199:0.568075:0.335199:0.568075:0.319806:0.553462:0.319806:0.000000:0.000000
y y:@0.498966:0.355944:0.532099:0.355944:0.532099:0.340551:0.498966:0.340551:0.000000:0.000000:0.000000
tb:@0.553462:0.355944:0.568075:0.355944:0.568075:0.340551:0.553462:0.340551:0.000000:0.000000
El par de ecuaciones :@0.115209:0.393047:0.269596:0.393047:0.269596:0.376658:0.115209:0.376658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=⎧:@0.294381:0.383048:0.281334:0.381955:0.281334:0.366383:0.294381:0.367475:0.000000:0.000000
+:@0.325634:0.383048:0.304498:0.383048:0.304498:0.367475:0.325634:0.367475:0.000000
=⎩:@0.294381:0.403794:0.281334:0.405495:0.281334:0.389922:0.294381:0.388221:0.000000:0.000000
+:@0.325634:0.403794:0.304498:0.403794:0.304498:0.388221:0.325634:0.388221:0.000000
⎨:@0.272231:0.393545:0.281334:0.393545:0.281334:0.377972:0.272231:0.377972:0.000000
0:@0.316686:0.384373:0.321898:0.384373:0.321898:0.375292:0.316686:0.375292:0.000000
0:@0.316686:0.405116:0.321898:0.405116:0.321898:0.396035:0.316686:0.396035:0.000000
x x:@0.282868:0.382369:0.315983:0.382369:0.315983:0.366976:0.282868:0.366976:0.000000:0.000000:0.000000
ta:@0.337364:0.382369:0.351978:0.382369:0.351978:0.366976:0.337364:0.366976:0.000000:0.000000
y y:@0.282868:0.403115:0.316001:0.403115:0.316001:0.387721:0.282868:0.387721:0.000000:0.000000:0.000000
tb:@0.337364:0.403115:0.351978:0.403115:0.351978:0.387721:0.337364:0.387721:0.000000:0.000000
 se denominan ecuaciones paramétricas de la recta, y :@0.364374:0.393046:0.759223:0.393046:0.759223:0.376657:0.364374:0.376657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.771068:0.393452:0.784207:0.393452:0.784207:0.377879:0.771068:0.377879:0.000000
:@0.787561:0.393646:0.800866:0.393646:0.800866:0.376897:0.787561:0.376897:0.000000
t:@0.761486:0.392775:0.766867:0.392775:0.766867:0.376413:0.761486:0.376413:0.000000
 se conoce :@0.801141:0.393047:0.883918:0.393047:0.883918:0.376658:0.801141:0.376658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como parámetro.:@0.115209:0.409644:0.242136:0.409644:0.242136:0.393255:0.115209:0.393255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación vectorial de la recta es un subconjun-:@0.118065:0.170269:0.476483:0.170269:0.476483:0.153880:0.118065:0.153880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to de :@0.118065:0.186865:0.160485:0.186865:0.160485:0.170476:0.118065:0.170476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.163476:0.186905:0.176781:0.186905:0.176781:0.170157:0.163476:0.170157:0.000000
2:@0.177558:0.178373:0.182769:0.178373:0.182769:0.168875:0.177558:0.168875:0.000000
 y está definida de la siguiente manera::@0.182460:0.186868:0.466923:0.186868:0.466923:0.170479:0.182460:0.170479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.245943:0.203213:0.253498:0.203213:0.253498:0.186464:0.245943:0.186464:0.000000
:@0.291330:0.203213:0.298885:0.203213:0.298885:0.186464:0.291330:0.186464:0.000000
:@0.320446:0.203213:0.328001:0.203213:0.328001:0.186464:0.320446:0.186464:0.000000
:@0.358340:0.215235:0.371644:0.215235:0.371644:0.198486:0.358340:0.198486:0.000000
{:@0.235891:0.219436:0.244737:0.219436:0.244737:0.195453:0.235891:0.195453:0.000000
}:@0.371685:0.219436:0.380530:0.219436:0.380530:0.195453:0.371685:0.195453:0.000000
():@0.256046:0.217497:0.275063:0.217497:0.275063:0.197563:0.256046:0.197563:0.000000:0.000000
=:@0.224007:0.215041:0.234124:0.215041:0.234124:0.199468:0.224007:0.199468:0.000000
= +:@0.277724:0.215041:0.311813:0.215041:0.311813:0.199468:0.277724:0.199468:0.000000:0.000000:0.000000
∈:@0.341850:0.215041:0.354989:0.215041:0.354989:0.199468:0.341850:0.199468:0.000000
L:@0.213641:0.214364:0.221270:0.214364:0.221270:0.198002:0.213641:0.198002:0.000000
x t:@0.246092:0.214364:0.267450:0.214364:0.267450:0.198002:0.246092:0.198002:0.000000:0.000000:0.000000
u tv t:@0.290392:0.214364:0.337659:0.214364:0.337659:0.198002:0.290392:0.198002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Siendo  ,:@0.500633:0.171656:0.571100:0.170399:0.571100:0.154011:0.500633:0.155267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.558941:0.159247:0.580520:0.159247:0.580520:0.142499:0.558941:0.142499:0.000000:0.000000
:@0.600769:0.171271:0.614073:0.171271:0.614073:0.154522:0.600769:0.154522:0.000000
∈:@0.584276:0.171077:0.597415:0.171077:0.597415:0.155504:0.584276:0.155504:0.000000
2:@0.614852:0.162737:0.620064:0.162737:0.620064:0.153239:0.614852:0.153239:0.000000
uv:@0.557998:0.170399:0.579761:0.170399:0.579761:0.154038:0.557998:0.154038:0.000000:0.000000
 con :@0.618920:0.171658:0.654577:0.171658:0.654577:0.155269:0.618920:0.155269:0.000000:0.000000:0.000000:0.000000:0.000000
≠:@0.668545:0.171077:0.678662:0.171077:0.678662:0.155504:0.668545:0.155504:0.000000
0.:@0.681205:0.170399:0.693202:0.170399:0.693202:0.154730:0.681205:0.154730:0.000000:0.000000
v:@0.656660:0.170399:0.664399:0.170399:0.664399:0.155006:0.656660:0.155006:0.000000
:@0.657599:0.159252:0.665155:0.159252:0.665155:0.142504:0.657599:0.142504:0.000000
 De esta definicion se ob-:@0.695852:0.171657:0.880165:0.171657:0.880165:0.155268:0.695852:0.155268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene la siguiente equivalencia::@0.500611:0.188253:0.725629:0.188253:0.725629:0.171864:0.500611:0.171864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.571484:0.203230:0.579039:0.203230:0.579039:0.186482:0.571484:0.186482:0.000000
:@0.706550:0.215252:0.719855:0.215252:0.719855:0.198504:0.706550:0.198504:0.000000
:@0.725658:0.203230:0.758496:0.203230:0.758496:0.186482:0.725658:0.186482:0.000000:0.000000
:@0.780047:0.203230:0.787602:0.203230:0.787602:0.186482:0.780047:0.186482:0.000000
(:@0.581587:0.217514:0.555475:0.217514:0.555475:0.197581:0.581587:0.197581:0.000000
):@0.613835:0.217514:0.587724:0.217514:0.587724:0.197581:0.613835:0.197581:0.000000
∈ ⇔∃ ∈:@0.622997:0.215059:0.703207:0.215059:0.703207:0.199486:0.622997:0.199486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= +:@0.737341:0.215059:0.771437:0.215059:0.771437:0.199486:0.737341:0.199486:0.000000:0.000000:0.000000
,:@0.598654:0.214381:0.601861:0.214381:0.601861:0.198711:0.598654:0.198711:0.000000
x x y:@0.571640:0.214381:0.612155:0.214381:0.612155:0.198988:0.571640:0.198988:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.639120:0.214381:0.646749:0.214381:0.646749:0.198988:0.639120:0.198988:0.000000
t:@0.680477:0.214381:0.685858:0.214381:0.685858:0.198988:0.680477:0.198988:0.000000
x u tv:@0.725813:0.214381:0.786854:0.214381:0.786854:0.198988:0.725813:0.198988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.9. Escribir y reconocer la ecuación vectorial y paramétrica de una recta a partir de un punto de la recta y un vector dirección, o a partir de dos puntos de la :@0.125388:0.069719:0.877720:0.069719:0.877720:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta.:@0.125388:0.080280:0.150752:0.080280:0.150752:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.054138:0.122645:0.076372:0.122645:0.076372:0.065614:0.054138:0.065614:0.000000