103:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
1. :@0.120121:0.172018:0.138861:0.172018:0.138861:0.154882:0.120121:0.154882:0.000000:0.000000:0.000000
Determina:@0.153364:0.172018:0.235054:0.172018:0.235054:0.155394:0.153364:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la pendiente, el ángulo de inclina-:@0.235054:0.172018:0.492302:0.172018:0.492302:0.155629:0.235054:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción y la ecuación cartesiana que pasa por los :@0.153364:0.188614:0.496376:0.188614:0.496376:0.172225:0.153364:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes puntos. :@0.153364:0.205210:0.291127:0.205210:0.291127:0.188821:0.153364:0.188821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representa:@0.291127:0.205210:0.377569:0.205210:0.377569:0.188586:0.291127:0.188586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente.:@0.377569:0.205210:0.482237:0.205210:0.482237:0.188821:0.377569:0.188821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153364:0.247628:0.172086:0.247628:0.172086:0.230727:0.153364:0.230727:0.000000:0.000000:0.000000
–3,–2,:@0.208171:0.246373:0.260211:0.246373:0.260211:0.229984:0.208171:0.229984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,1:@0.279044:0.246373:0.300973:0.246373:0.300973:0.229984:0.279044:0.229984:0.000000:0.000000:0.000000
A:@0.190687:0.246373:0.200582:0.246373:0.200582:0.230012:0.190687:0.230012:0.000000
B:@0.261578:0.246373:0.270423:0.246373:0.270423:0.230012:0.261578:0.230012:0.000000
(:@0.201366:0.249505:0.207503:0.249505:0.207503:0.229572:0.201366:0.229572:0.000000
) ( ):@0.249426:0.249505:0.304571:0.249505:0.304571:0.229572:0.249426:0.229572:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153362:0.420845:0.155296:0.420845:0.155296:0.411307:0.153362:0.411307:0.000000
b) :@0.153362:0.454640:0.173393:0.454640:0.173393:0.437739:0.153362:0.437739:0.000000:0.000000:0.000000
A:@0.186606:0.454640:0.196501:0.454640:0.196501:0.438279:0.186606:0.438279:0.000000
(3, 2)  (–2, –1):@0.196501:0.454640:0.297798:0.454640:0.297798:0.438251:0.196501:0.438251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.235531:0.454640:0.244376:0.454640:0.244376:0.438279:0.235531:0.438279:0.000000
 :@0.153362:0.632884:0.155296:0.632884:0.155296:0.623346:0.153362:0.623346:0.000000
c) :@0.153362:0.669195:0.170998:0.669195:0.170998:0.652294:0.153362:0.652294:0.000000:0.000000:0.000000
–5,–3,:@0.208171:0.667937:0.259787:0.667937:0.259787:0.651548:0.208171:0.651548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,4:@0.278270:0.667937:0.301710:0.667937:0.301710:0.651548:0.278270:0.651548:0.000000:0.000000:0.000000
A:@0.190687:0.667937:0.200582:0.667937:0.200582:0.651576:0.190687:0.651576:0.000000
B:@0.261154:0.667937:0.269999:0.667937:0.269999:0.651576:0.261154:0.651576:0.000000
(:@0.201366:0.671069:0.207503:0.671069:0.207503:0.651136:0.201366:0.651136:0.000000
) (:@0.249002:0.671069:0.277970:0.671069:0.277970:0.651136:0.249002:0.651136:0.000000:0.000000:0.000000
):@0.302626:0.671069:0.308763:0.671069:0.308763:0.651136:0.302626:0.651136:0.000000
 :@0.153362:0.914798:0.155296:0.914798:0.155296:0.905260:0.153362:0.905260:0.000000
Taller:@0.180758:0.130781:0.241652:0.130781:0.241652:0.096834:0.180758:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina la ecuación de la recta en forma paramétrica e identifica su pendiente. (Ref. I.M.5.6.3.):@0.261777:0.118806:0.708239:0.118806:0.708239:0.108377:0.261777:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.512276:0.173034:0.531017:0.173034:0.531017:0.155898:0.512276:0.155898:0.000000:0.000000:0.000000
Los puntos  2,1,:@0.545519:0.173034:0.677898:0.173169:0.677898:0.156780:0.545519:0.156645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–6,5  son los extremos de :@0.696731:0.173169:0.888685:0.173034:0.888685:0.156645:0.696731:0.156780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.630982:0.173169:0.640877:0.173169:0.640877:0.156808:0.630982:0.156808:0.000000
B:@0.679244:0.173169:0.688089:0.173169:0.688089:0.156808:0.679244:0.156808:0.000000
( ) (:@0.641661:0.176301:0.696066:0.176301:0.696066:0.156368:0.641661:0.156368:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.728775:0.176301:0.734912:0.176301:0.734912:0.156368:0.728775:0.156368:0.000000
un segmento de recta.:@0.545526:0.189630:0.711096:0.189630:0.711096:0.173241:0.545526:0.173241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545526:0.213349:0.564248:0.213349:0.564248:0.196448:0.545526:0.196448:0.000000:0.000000:0.000000
Determina:@0.578769:0.213349:0.660459:0.213349:0.660459:0.196725:0.578769:0.196725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la  ecuación de  la  recta que :@0.660459:0.213349:0.888713:0.213349:0.888713:0.196960:0.660459:0.196960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasa por el punto medio del segmento de :@0.578769:0.229945:0.888702:0.229945:0.888702:0.213556:0.578769:0.213556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta y el origen del sistema de coordena-:@0.578769:0.246542:0.884685:0.246542:0.884685:0.230153:0.578769:0.230153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
das :@0.578769:0.265655:0.608069:0.265655:0.608069:0.249266:0.578769:0.249266:0.000000:0.000000:0.000000:0.000000
.:@0.647268:0.265658:0.650475:0.265658:0.650475:0.249269:0.647268:0.249269:0.000000
OC:@0.617121:0.265658:0.638552:0.265658:0.638552:0.249296:0.617121:0.249296:0.000000:0.000000
( ):@0.610676:0.271898:0.646610:0.271898:0.646610:0.245736:0.610676:0.245736:0.000000:0.000000:0.000000
b) :@0.545518:0.285818:0.565548:0.285818:0.565548:0.268918:0.545518:0.268918:0.000000:0.000000:0.000000
Determina:@0.578761:0.285818:0.660451:0.285818:0.660451:0.269194:0.578761:0.269194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de cada recta que :@0.660451:0.285818:0.888659:0.285818:0.888659:0.269430:0.660451:0.269430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasa por cada extremo de la recta AB y :@0.578761:0.302415:0.888695:0.302415:0.888695:0.286026:0.578761:0.286026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el origen del sistema de coordenadas :@0.578761:0.319011:0.888692:0.319011:0.888692:0.302622:0.578761:0.302622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.608441:0.338122:0.611648:0.338122:0.611648:0.321733:0.608441:0.321733:0.000000
.:@0.621691:0.338122:0.624897:0.338122:0.624897:0.321733:0.621691:0.321733:0.000000
.:@0.653312:0.338122:0.656519:0.338122:0.656519:0.321733:0.653312:0.321733:0.000000
OA yOB:@0.587821:0.338122:0.645462:0.338122:0.645462:0.321761:0.587821:0.321761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.581376:0.344363:0.587512:0.344363:0.587512:0.318200:0.581376:0.318200:0.000000
):@0.646499:0.344363:0.652636:0.344363:0.652636:0.318200:0.646499:0.318200:0.000000
c) :@0.545518:0.359540:0.563153:0.359540:0.563153:0.342640:0.545518:0.342640:0.000000:0.000000:0.000000
Representa:@0.578761:0.359540:0.665203:0.359540:0.665203:0.342916:0.578761:0.342916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente.:@0.665203:0.359540:0.769872:0.359540:0.769872:0.343151:0.665203:0.343151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512274:0.596108:0.515996:0.596108:0.515996:0.578972:0.512274:0.578972:0.000000
3. :@0.512425:0.624296:0.531166:0.624296:0.531166:0.607161:0.512425:0.607161:0.000000:0.000000:0.000000
Los vértices de un triángulo están dados por :@0.545668:0.624296:0.888865:0.624296:0.888865:0.607908:0.545668:0.607908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los puntos  (2, 1),  (–4, 3),  (1, 8). :@0.545668:0.640893:0.801573:0.640893:0.801573:0.624504:0.545668:0.624504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.629440:0.640893:0.639336:0.640893:0.639336:0.624532:0.629440:0.624532:0.000000
B:@0.684594:0.640893:0.693440:0.640893:0.693440:0.624532:0.684594:0.624532:0.000000
C:@0.747912:0.640893:0.757826:0.640893:0.757826:0.624532:0.747912:0.624532:0.000000
Determina:@0.803084:0.640893:0.884774:0.640893:0.884774:0.624269:0.803084:0.624269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884774:0.640893:0.888809:0.640893:0.888809:0.624504:0.884774:0.624504:0.000000
las ecuaciones cartesianas de las rectas que :@0.545668:0.657489:0.888846:0.657489:0.888846:0.641100:0.545668:0.641100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasan por los lados del triángulo y :@0.545668:0.674086:0.802163:0.674086:0.802163:0.657697:0.545668:0.657697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa:@0.802457:0.674086:0.884755:0.674086:0.884755:0.657462:0.802457:0.657462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884755:0.674086:0.888791:0.674086:0.888791:0.657697:0.884755:0.657697:0.000000
gráficamente en tu cuaderno.:@0.545668:0.690682:0.763129:0.690682:0.763129:0.674293:0.545668:0.674293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512425:0.768560:0.516147:0.768560:0.516147:0.751425:0.512425:0.751425:0.000000
4. :@0.512425:0.795907:0.531166:0.795907:0.531166:0.778771:0.512425:0.778771:0.000000:0.000000:0.000000
Verifica:@0.545668:0.795907:0.601762:0.795907:0.601762:0.779283:0.545668:0.779283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si los siguientes puntos :@0.601762:0.795907:0.779937:0.795907:0.779937:0.779518:0.601762:0.779518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,4 ,1,3 ,:@0.567235:0.813760:0.659447:0.813760:0.659447:0.797371:0.567235:0.797371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,2  pertenecen a la recta:@0.679847:0.813760:0.870339:0.812503:0.870339:0.796114:0.679847:0.797371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.549766:0.813760:0.559662:0.813760:0.559662:0.797399:0.549766:0.797399:0.000000
B:@0.612954:0.813760:0.621800:0.813760:0.621800:0.797399:0.612954:0.797399:0.000000
C:@0.660811:0.813760:0.670725:0.813760:0.670725:0.797399:0.660811:0.797399:0.000000
(:@0.560429:0.816893:0.566565:0.816893:0.566565:0.796960:0.560429:0.796960:0.000000
) ( ) ( ):@0.600785:0.816893:0.708440:0.816893:0.708440:0.796960:0.600785:0.796960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.512423:0.821133:0.520494:0.821133:0.520494:0.804744:0.512423:0.804744:0.000000:0.000000
x:@0.545667:0.837730:0.553130:0.837730:0.553130:0.821368:0.545667:0.821368:0.000000
 + 3  = 10.:@0.553130:0.837730:0.628904:0.837730:0.628904:0.821341:0.553130:0.821341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.581177:0.837730:0.588658:0.837730:0.588658:0.821368:0.581177:0.821368:0.000000
 :@0.512423:0.915608:0.516146:0.915608:0.516146:0.898472:0.512423:0.898472:0.000000