181:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.597716:0.043660:0.920912:0.043660:0.920912:0.024915:0.597716:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.073089:0.136836:0.149461:0.136836:0.149461:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la ecuación de la recta que tiene pendiente :@0.073089:0.157056:0.430961:0.157056:0.430961:0.141343:0.073089:0.141343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.430558:0.157056:0.445173:0.157056:0.445173:0.140650:0.430558:0.140650:0.000000
=:@0.445099:0.157639:0.460433:0.157639:0.460433:0.139984:0.445099:0.139984:0.000000
3 y pasa por el punto  (2, 3):@0.460341:0.157056:0.660207:0.157056:0.660207:0.141343:0.460341:0.141343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.616968:0.157056:0.625730:0.157056:0.625730:0.140650:0.616968:0.140650:0.000000
2:@0.447202:0.244469:0.453735:0.244469:0.453735:0.233041:0.447202:0.233041:0.000000
2:@0.367026:0.183448:0.373559:0.183448:0.373559:0.172021:0.367026:0.172021:0.000000
1:@0.410508:0.244469:0.417041:0.244469:0.417041:0.233041:0.410508:0.233041:0.000000
1:@0.367026:0.211013:0.373559:0.211013:0.373559:0.199586:0.367026:0.199586:0.000000
0:@0.367026:0.244469:0.373559:0.244469:0.373559:0.233041:0.367026:0.233041:0.000000
-1:@0.334911:0.244469:0.345433:0.244469:0.345433:0.233041:0.334911:0.233041:0.000000:0.000000
-1:@0.363037:0.265952:0.373559:0.265952:0.373559:0.254524:0.363037:0.254524:0.000000:0.000000
-2:@0.298016:0.244469:0.308538:0.244469:0.308538:0.233041:0.298016:0.233041:0.000000:0.000000
-2:@0.363024:0.293204:0.373546:0.293204:0.373546:0.281777:0.363024:0.281777:0.000000:0.000000
-3:@0.363024:0.321485:0.373546:0.321485:0.373546:0.310058:0.363024:0.310058:0.000000:0.000000
-4:@0.363024:0.348788:0.373546:0.348788:0.373546:0.337360:0.363024:0.337360:0.000000:0.000000
En este caso, sabemos que: :@0.073089:0.398626:0.274081:0.398626:0.274081:0.382913:0.073089:0.382913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.273834:0.398626:0.288449:0.398626:0.288449:0.382220:0.273834:0.382220:0.000000
=:@0.289480:0.399209:0.304813:0.399209:0.304813:0.381554:0.289480:0.381554:0.000000
3; :@0.305826:0.398626:0.324104:0.398626:0.324104:0.382913:0.305826:0.382913:0.000000:0.000000:0.000000
x:@0.325116:0.398626:0.332571:0.398626:0.332571:0.382220:0.325116:0.382220:0.000000
1:@0.333614:0.401798:0.338851:0.401798:0.338851:0.392638:0.333614:0.392638:0.000000
=:@0.339447:0.399209:0.354781:0.399209:0.354781:0.381554:0.339447:0.381554:0.000000
2; :@0.355793:0.398626:0.374071:0.398626:0.374071:0.382913:0.355793:0.382913:0.000000:0.000000:0.000000
y:@0.375084:0.398626:0.382557:0.398626:0.382557:0.382220:0.375084:0.382220:0.000000
1:@0.383593:0.401798:0.388830:0.401798:0.388830:0.392638:0.383593:0.392638:0.000000
=:@0.389428:0.399209:0.404761:0.399209:0.404761:0.381554:0.389428:0.381554:0.000000
3   :@0.405772:0.398626:0.438572:0.398626:0.438572:0.382913:0.405772:0.382913:0.000000:0.000000:0.000000:0.000000
Teniendo en cuenta que la ecuación está dada por (:@0.073096:0.415268:0.462980:0.415268:0.462980:0.399555:0.073096:0.399555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y y:@0.464158:0.415268:0.490665:0.415268:0.490665:0.398862:0.464158:0.398862:0.000000:0.000000:0.000000
–:@0.472791:0.415850:0.481995:0.415850:0.481995:0.398196:0.472791:0.398196:0.000000
1:@0.491816:0.418440:0.497053:0.418440:0.497053:0.409280:0.491816:0.409280:0.000000
):@0.497741:0.415268:0.502619:0.415268:0.502619:0.399555:0.497741:0.399555:0.000000
=:@0.503797:0.415850:0.519131:0.415850:0.519131:0.398196:0.503797:0.398196:0.000000
m x x:@0.520327:0.415268:0.568628:0.415268:0.568628:0.398862:0.520327:0.398862:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.536102:0.415268:0.540980:0.415268:0.540980:0.399555:0.536102:0.399555:0.000000
–:@0.550773:0.415850:0.559976:0.415850:0.559976:0.398196:0.550773:0.398196:0.000000
1:@0.569792:0.418440:0.575029:0.418440:0.575029:0.409280:0.569792:0.409280:0.000000
), al remplazar los :@0.575718:0.415268:0.710350:0.415268:0.710350:0.399555:0.575718:0.399555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos, obtenemos: (:@0.073089:0.431910:0.240927:0.431910:0.240927:0.416197:0.073089:0.416197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.241957:0.431910:0.249431:0.431910:0.249431:0.415504:0.241957:0.415504:0.000000
– =:@0.250462:0.432492:0.291933:0.432492:0.291933:0.414838:0.250462:0.414838:0.000000:0.000000:0.000000
3) 3(:@0.260678:0.431910:0.307837:0.431910:0.307837:0.416197:0.260678:0.416197:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.308868:0.431910:0.316323:0.431910:0.316323:0.415504:0.308868:0.415504:0.000000
–:@0.317354:0.432492:0.326557:0.432492:0.326557:0.414838:0.317354:0.414838:0.000000
2), al hacer las operaciones y despejar y, obtenemos::@0.327570:0.431910:0.706599:0.431910:0.706599:0.416197:0.327570:0.416197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.348370:0.459272:0.355843:0.459272:0.355843:0.442866:0.348370:0.442866:0.000000
– =:@0.356874:0.459854:0.392437:0.459854:0.392437:0.442200:0.356874:0.442200:0.000000:0.000000:0.000000
3 3:@0.367090:0.459272:0.402432:0.459272:0.402432:0.443559:0.367090:0.443559:0.000000:0.000000:0.000000
x:@0.403463:0.459272:0.410918:0.459272:0.410918:0.442866:0.403463:0.442866:0.000000
–:@0.411948:0.459854:0.421152:0.459854:0.421152:0.442200:0.411948:0.442200:0.000000
6:@0.422165:0.459272:0.431147:0.459272:0.431147:0.443559:0.422165:0.443559:0.000000
y:@0.322011:0.475914:0.329484:0.475914:0.329484:0.459508:0.322011:0.459508:0.000000
– + =:@0.330515:0.476496:0.392437:0.476496:0.392437:0.458842:0.330515:0.458842:0.000000:0.000000:0.000000:0.000000:0.000000
3 3 3:@0.340731:0.475914:0.402432:0.475914:0.402432:0.460201:0.340731:0.460201:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.403463:0.475914:0.410918:0.475914:0.410918:0.459508:0.403463:0.459508:0.000000
– +:@0.411948:0.476496:0.447511:0.476496:0.447511:0.458842:0.411948:0.458842:0.000000:0.000000:0.000000
6 3:@0.422165:0.475914:0.457506:0.475914:0.457506:0.460201:0.422165:0.460201:0.000000:0.000000:0.000000
y:@0.358494:0.492555:0.365967:0.492555:0.365967:0.476149:0.358494:0.476149:0.000000
=:@0.366998:0.493138:0.382331:0.493138:0.382331:0.475484:0.366998:0.475484:0.000000
3:@0.383344:0.492555:0.392326:0.492555:0.392326:0.476843:0.383344:0.476843:0.000000
x:@0.393357:0.492555:0.400812:0.492555:0.400812:0.476149:0.393357:0.476149:0.000000
–:@0.401843:0.493138:0.411047:0.493138:0.411047:0.475484:0.401843:0.475484:0.000000
3:@0.412059:0.492555:0.421042:0.492555:0.421042:0.476843:0.412059:0.476843:0.000000
Ejemplo 4:@0.073145:0.509197:0.149516:0.509197:0.149516:0.492528:0.073145:0.492528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la ecuación de la recta que tiene pendiente :@0.073145:0.529417:0.441477:0.529417:0.441477:0.513704:0.073145:0.513704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.442468:0.529417:0.457083:0.529417:0.457083:0.513011:0.442468:0.513011:0.000000
=–:@0.458224:0.530000:0.483921:0.530000:0.483921:0.512345:0.458224:0.512345:0.000000:0.000000
4 y pasa por el punto  ( 3, 8). :@0.485081:0.529417:0.710422:0.529417:0.710422:0.513704:0.485081:0.513704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.649292:0.529417:0.658053:0.529417:0.658053:0.513011:0.649292:0.513011:0.000000
–:@0.663005:0.530000:0.672209:0.530000:0.672209:0.512345:0.663005:0.512345:0.000000
Usamos la forma de la ecuación :@0.073145:0.546059:0.307362:0.546059:0.307362:0.530346:0.073145:0.530346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.307082:0.546059:0.381687:0.546059:0.381687:0.529653:0.307082:0.529653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.315587:0.546641:0.330920:0.546641:0.330920:0.528987:0.315587:0.528987:0.000000
+:@0.356082:0.546641:0.371416:0.546641:0.371416:0.528987:0.356082:0.528987:0.000000
En este caso sabemos que: :@0.073145:0.573421:0.271347:0.573421:0.271347:0.557708:0.073145:0.557708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.271096:0.573421:0.285712:0.573421:0.285712:0.557015:0.271096:0.557015:0.000000
=–:@0.286742:0.574003:0.312292:0.574003:0.312292:0.556349:0.286742:0.556349:0.000000:0.000000
4; :@0.313304:0.573421:0.330478:0.573421:0.330478:0.557708:0.313304:0.557708:0.000000:0.000000:0.000000
x:@0.330386:0.573421:0.337841:0.573421:0.337841:0.557015:0.330386:0.557015:0.000000
=–:@0.338872:0.574003:0.364421:0.574003:0.364421:0.556349:0.338872:0.556349:0.000000:0.000000
3;:@0.365433:0.573421:0.378650:0.573421:0.378650:0.557708:0.365433:0.557708:0.000000:0.000000
y:@0.379662:0.573421:0.387136:0.573421:0.387136:0.557015:0.379662:0.557015:0.000000
=:@0.388166:0.574003:0.403500:0.574003:0.403500:0.556349:0.388166:0.556349:0.000000
8:@0.404512:0.573421:0.413495:0.573421:0.413495:0.557708:0.404512:0.557708:0.000000
Teniendo en cuenta que la ecuación está dada por :@0.073126:0.590063:0.441301:0.590063:0.441301:0.574350:0.073126:0.574350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.440664:0.590063:0.515268:0.590063:0.515268:0.573657:0.440664:0.573657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.449168:0.590645:0.464501:0.590645:0.464501:0.572991:0.449168:0.572991:0.000000
+:@0.489664:0.590645:0.504997:0.590645:0.504997:0.572991:0.489664:0.572991:0.000000
, al remplazar los términos, :@0.516299:0.590063:0.710503:0.590063:0.710503:0.574350:0.516299:0.574350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos: 8:@0.073108:0.606705:0.173495:0.606705:0.173495:0.590992:0.073108:0.590992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=– – +:@0.174440:0.607287:0.258395:0.607287:0.258395:0.589633:0.174440:0.589633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4( 3):@0.201001:0.606705:0.242031:0.606705:0.242031:0.590992:0.201001:0.590992:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.259408:0.606705:0.268666:0.606705:0.268666:0.590298:0.259408:0.590298:0.000000
, al hacer las operaciones y despejar y, obtenemos::@0.269697:0.606705:0.633391:0.606705:0.633391:0.590992:0.269697:0.590992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 12:@0.356524:0.634066:0.398566:0.634066:0.398566:0.618354:0.356524:0.618354:0.000000:0.000000:0.000000:0.000000
= +:@0.365433:0.634649:0.413808:0.634649:0.413808:0.616995:0.365433:0.616995:0.000000:0.000000:0.000000
b:@0.413716:0.634066:0.422974:0.634066:0.422974:0.617660:0.413716:0.617660:0.000000
8 12 12 12:@0.329613:0.650708:0.425478:0.650708:0.425478:0.634996:0.329613:0.634996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– = – +:@0.338522:0.651291:0.440719:0.651291:0.440719:0.633637:0.338522:0.633637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.440627:0.650708:0.449886:0.650708:0.449886:0.634302:0.440627:0.634302:0.000000
– =:@0.368489:0.667933:0.401843:0.667933:0.401843:0.650278:0.368489:0.650278:0.000000:0.000000:0.000000
4:@0.377601:0.667350:0.386583:0.667350:0.386583:0.651637:0.377601:0.651637:0.000000
b:@0.401751:0.667350:0.411010:0.667350:0.411010:0.650944:0.401751:0.650944:0.000000
Luego, la ecuación de la recta es:  :@0.073089:0.683992:0.318098:0.683992:0.318098:0.668279:0.073089:0.668279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.510198:0.683992:0.514229:0.683992:0.514229:0.668279:0.510198:0.668279:0.000000
y:@0.353331:0.700634:0.360805:0.700634:0.360805:0.684228:0.353331:0.684228:0.000000
=–:@0.361836:0.701216:0.387385:0.701216:0.387385:0.683562:0.361836:0.683562:0.000000:0.000000
4:@0.388397:0.700634:0.397380:0.700634:0.397380:0.684921:0.388397:0.684921:0.000000
x:@0.398411:0.700634:0.405866:0.700634:0.405866:0.684228:0.398411:0.684228:0.000000
–:@0.406897:0.701216:0.416100:0.701216:0.416100:0.683562:0.406897:0.683562:0.000000
4:@0.417113:0.700634:0.426095:0.700634:0.426095:0.684921:0.417113:0.684921:0.000000
2:@0.437079:0.812717:0.443612:0.812717:0.443612:0.801289:0.437079:0.801289:0.000000
4:@0.401804:0.763820:0.408337:0.763820:0.408337:0.752392:0.401804:0.752392:0.000000
6:@0.401804:0.742407:0.408337:0.742407:0.408337:0.730980:0.401804:0.730980:0.000000
8:@0.401804:0.721277:0.408337:0.721277:0.408337:0.709850:0.401804:0.709850:0.000000
2:@0.401804:0.785142:0.408337:0.785142:0.408337:0.773714:0.401804:0.773714:0.000000
0:@0.401804:0.812717:0.408337:0.812717:0.408337:0.801289:0.401804:0.801289:0.000000
-2:@0.378203:0.812717:0.388725:0.812717:0.388725:0.801289:0.378203:0.801289:0.000000:0.000000
-2:@0.397815:0.829187:0.408337:0.829187:0.408337:0.817760:0.397815:0.817760:0.000000:0.000000
-4:@0.348350:0.812717:0.358872:0.812717:0.358872:0.801289:0.348350:0.801289:0.000000:0.000000
-6:@0.319942:0.812717:0.330465:0.812717:0.330465:0.801289:0.319942:0.801289:0.000000:0.000000
-4:@0.397802:0.851084:0.408324:0.851084:0.408324:0.839656:0.397802:0.839656:0.000000:0.000000
-6:@0.397802:0.872133:0.408324:0.872133:0.408324:0.860706:0.397802:0.860706:0.000000:0.000000
-8:@0.397802:0.893757:0.408324:0.893757:0.408324:0.882330:0.397802:0.882330:0.000000:0.000000
-10:@0.391304:0.915735:0.408359:0.915735:0.408359:0.904308:0.391304:0.904308:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.743907:0.145093:0.910281:0.145093:0.910281:0.128146:0.743907:0.128146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas y :@0.743907:0.161735:0.852900:0.161735:0.852900:0.146022:0.743907:0.146022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geografía:@0.743907:0.178377:0.812724:0.178377:0.812724:0.162664:0.743907:0.162664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación de la :@0.744288:0.214522:0.862228:0.214522:0.862228:0.200238:0.744288:0.200238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta y la pendiente :@0.744288:0.229651:0.878641:0.229651:0.878641:0.215367:0.744288:0.215367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son herramientas :@0.744288:0.244780:0.862689:0.244780:0.862689:0.230496:0.744288:0.230496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas que nos :@0.744288:0.259909:0.890017:0.259909:0.890017:0.245625:0.744288:0.245625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudan a entender cómo :@0.744288:0.275038:0.914910:0.275038:0.914910:0.260754:0.744288:0.260754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el terreno y a calcular :@0.744288:0.290167:0.905583:0.290167:0.905583:0.275883:0.744288:0.275883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias en un mapa. :@0.744288:0.305296:0.898909:0.305296:0.898909:0.291011:0.744288:0.291011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así podemos saber cómo :@0.744288:0.320425:0.916239:0.320425:0.916239:0.306140:0.744288:0.306140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son las colinas, diseñar :@0.744288:0.335554:0.896309:0.335554:0.896309:0.321269:0.744288:0.321269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carreteras seguras y :@0.744288:0.350683:0.877421:0.350683:0.877421:0.336398:0.744288:0.336398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrar el camino más :@0.744288:0.365811:0.911876:0.365811:0.911876:0.351527:0.744288:0.351527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corto en un viaje. :@0.744288:0.380940:0.861539:0.380940:0.861539:0.366656:0.744288:0.366656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si sabes las coordenadas :@0.744288:0.396069:0.910229:0.396069:0.910229:0.381785:0.744288:0.381785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(las posiciones exactas) de :@0.744288:0.411198:0.921291:0.411198:0.921291:0.396914:0.744288:0.396914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos lugares en un mapa, :@0.744288:0.426327:0.909612:0.426327:0.909612:0.412043:0.744288:0.412043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes usar una ecuación :@0.744288:0.441456:0.921115:0.441456:0.921115:0.427172:0.744288:0.427172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para calcular la distancia :@0.744288:0.456585:0.907962:0.456585:0.907962:0.442301:0.744288:0.442301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
directa entre ellos. :@0.744288:0.471714:0.868077:0.471714:0.868077:0.457430:0.744288:0.457430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En mapas digitales, como :@0.744288:0.486843:0.915973:0.486843:0.915973:0.472559:0.744288:0.472559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los que usan los GPS, se :@0.744288:0.501972:0.903762:0.501972:0.903762:0.487688:0.744288:0.487688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utiliza esta matemática :@0.744288:0.517101:0.899388:0.517101:0.899388:0.502817:0.744288:0.502817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para encontrar rutas :@0.744288:0.532230:0.881272:0.532230:0.881272:0.517946:0.744288:0.517946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rápidas y fáciles.:@0.744288:0.547359:0.849621:0.547359:0.849621:0.533075:0.744288:0.533075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000