175:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puedo reconocer las representaciones gráficas y algebraicas de los vectores?:@0.106275:0.756634:0.620348:0.756634:0.620348:0.741735:0.106275:0.741735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puedo aplicar lo que sé sobre vectores a problemas reales, como el movimiento de objetos o fuerzas en equilibrio?:@0.106275:0.778976:0.875381:0.778976:0.875381:0.764077:0.106275:0.764077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Reconozco qué significa que dos rectas sean paralelas, perpendiculares o secantes?:@0.106275:0.801318:0.667018:0.801318:0.667018:0.786419:0.106275:0.786419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Verifico mis resultados cuando trabajo con rectas paralelas o perpendiculares? ¿Cómo lo hago?:@0.106275:0.823660:0.743694:0.823660:0.743694:0.808761:0.106275:0.808761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Entiendo qué es una cónica y cómo se forma al intersecar un cono con un plano?:@0.106275:0.846003:0.654610:0.846003:0.654610:0.831104:0.106275:0.831104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Prefiero estudiar las cónicas desde el punto de vista algebraico o gráfico? ¿Por qué?:@0.106275:0.868345:0.665328:0.868345:0.665328:0.853446:0.106275:0.853446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sé cómo completar cuadrados para transformar una ecuación general a su forma canónica?:@0.106275:0.890687:0.723040:0.890687:0.723040:0.875788:0.106275:0.875788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Podría reconocer en qué tipo de cónicas tengo más dificultades: en la circunferencia, la elipse, la parábola o la hipérbola?:@0.106275:0.913029:0.894930:0.913029:0.894930:0.898130:0.106275:0.898130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Metacognición para aprender:@0.117029:0.728359:0.350102:0.728359:0.350102:0.711224:0.117029:0.711224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.387215:0.727889:0.466878:0.727889:0.466878:0.710989:0.387215:0.710989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en forma oral o escrita.:@0.466878:0.727889:0.637276:0.727889:0.637276:0.711500:0.466878:0.711500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Contesta la rutina de pensamiento:@0.525975:0.086149:0.799364:0.086149:0.799364:0.069248:0.525975:0.069248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Veo :@0.566612:0.106105:0.596920:0.106105:0.596920:0.087879:0.566612:0.087879:0.000000:0.000000:0.000000:0.000000:0.000000
Observa:@0.525978:0.126897:0.592499:0.126897:0.592499:0.109996:0.525978:0.109996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los datos cuantitativos del problema. :@0.592499:0.126897:0.869981:0.126897:0.869981:0.110508:0.592499:0.110508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Describe:@0.525978:0.147061:0.594307:0.147061:0.594307:0.130161:0.525978:0.130161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lo que ves o lo que se presenta en el problema. :@0.594123:0.147061:0.931293:0.147061:0.931293:0.130673:0.594123:0.130673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza:@0.525978:0.163658:0.582495:0.163658:0.582495:0.146757:0.525978:0.146757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un esquema. :@0.582495:0.163658:0.685450:0.163658:0.685450:0.147269:0.582495:0.147269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 m:@0.706304:0.312534:0.743943:0.312534:0.743943:0.296642:0.706304:0.296642:0.000000:0.000000:0.000000:0.000000
6 m:@0.729926:0.237184:0.758446:0.237184:0.758446:0.221292:0.729926:0.221292:0.000000:0.000000:0.000000
 Pienso :@0.556832:0.337931:0.607059:0.337931:0.607059:0.319705:0.556832:0.319705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué ecuación de la elipse debes utilizar?:@0.525978:0.360302:0.829554:0.360302:0.829554:0.343913:0.525978:0.343913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla:@0.525978:0.443221:0.566555:0.443221:0.566555:0.426321:0.525978:0.426321:0.000000:0.000000:0.000000:0.000000:0.000000
 el ancho de la viga.:@0.566555:0.443221:0.710733:0.443221:0.710733:0.426832:0.566555:0.426832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.930456:0.485820:0.934491:0.485820:0.934491:0.469431:0.930456:0.469431:0.000000
 Me pregunto:@0.545067:0.523134:0.633356:0.523134:0.633356:0.504908:0.545067:0.504908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué pasaría si se colocara la viga a una altura mayor? :@0.525978:0.546727:0.923069:0.546727:0.923069:0.530338:0.525978:0.530338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________________:@0.525978:0.572608:0.924618:0.572608:0.924618:0.557709:0.525978:0.557709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo afectaría al diseño si el arco no estuviera cen-:@0.525978:0.609679:0.911775:0.609679:0.911775:0.593290:0.525978:0.593290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trado en el origen?:@0.525978:0.626275:0.664146:0.626275:0.664146:0.609887:0.525978:0.609887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________________:@0.525978:0.652157:0.924618:0.652157:0.924618:0.637258:0.525978:0.637258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________________:@0.525978:0.674788:0.924618:0.674788:0.924618:0.659889:0.525978:0.659889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Coevaluación:@0.114502:0.575367:0.212236:0.575367:0.212236:0.560003:0.114502:0.560003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajen :@0.096359:0.598255:0.169849:0.598255:0.169849:0.581355:0.096359:0.581355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en equipo la rutina de pensamiento:@0.169849:0.598255:0.432990:0.598255:0.432990:0.581866:0.169849:0.581866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veo – pienso – me pregunto:@0.096359:0.614852:0.317819:0.614852:0.317819:0.597951:0.096359:0.597951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.317819:0.614852:0.321025:0.614852:0.321025:0.598463:0.317819:0.598463:0.000000
10.:@0.096359:0.642139:0.120462:0.642139:0.120462:0.625238:0.096359:0.625238:0.000000:0.000000:0.000000
 Un arquitecto diseña una entrada con un semiarco :@0.120462:0.642139:0.501649:0.642139:0.501649:0.625750:0.120462:0.625750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en forma de media elipse de 20 m de ancho y 6 m :@0.124830:0.658735:0.501601:0.658735:0.501601:0.642346:0.124830:0.642346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de alto. Se quiere colocar una viga horizontal a 3 m :@0.124830:0.675332:0.501675:0.675332:0.501675:0.658943:0.124830:0.658943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del suelo, y se necesita calcular su longitud.:@0.124830:0.691928:0.441485:0.691928:0.441485:0.675539:0.124830:0.675539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. Grafica:@0.096341:0.086146:0.180868:0.086146:0.180868:0.069246:0.096341:0.069246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.110585:0.086146:0.114621:0.086146:0.114621:0.069758:0.110585:0.069758:0.000000
 y :@0.180868:0.086146:0.198301:0.086146:0.198301:0.069758:0.180868:0.069758:0.000000:0.000000:0.000000
halla:@0.199554:0.086146:0.238289:0.086146:0.238289:0.069246:0.199554:0.069246:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación cartesiana de la elipse :@0.238289:0.086146:0.501656:0.086146:0.501656:0.069758:0.238289:0.069758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de centro (–1, 2 ); semieje mayor 3 y semieje menor :@0.124848:0.102743:0.501620:0.102743:0.501620:0.086354:0.124848:0.086354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.311069:0.100395:0.311069:0.100395:0.294680:0.096359:0.294680:0.000000
9.:@0.096359:0.336578:0.110585:0.336578:0.110585:0.319678:0.096359:0.319678:0.000000:0.000000
  La ecuación general de una hipérbola es :@0.110585:0.336578:0.425735:0.336578:0.425735:0.320189:0.110585:0.320189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4  + 24  – 9  = 0. :@0.124848:0.353175:0.261811:0.353175:0.261811:0.336786:0.124848:0.336786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.133656:0.353175:0.141120:0.353175:0.141120:0.336813:0.133656:0.336813:0.000000
2:@0.140939:0.347127:0.146181:0.347127:0.146181:0.337572:0.140939:0.337572:0.000000
x:@0.182192:0.353175:0.189655:0.353175:0.189655:0.336813:0.182192:0.336813:0.000000
y:@0.215011:0.353175:0.222493:0.353175:0.222493:0.336813:0.215011:0.336813:0.000000
2:@0.222308:0.347127:0.227551:0.347127:0.227551:0.337572:0.222308:0.337572:0.000000
Determina:@0.261626:0.353175:0.344919:0.353175:0.344919:0.336274:0.261626:0.336274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación ordinaria :@0.344735:0.353175:0.501278:0.353175:0.501278:0.336786:0.344735:0.336786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.124856:0.369771:0.137000:0.369771:0.137000:0.353382:0.124856:0.353382:0.000000:0.000000
traza:@0.137000:0.369771:0.176878:0.369771:0.176878:0.352870:0.137000:0.352870:0.000000:0.000000:0.000000:0.000000:0.000000
 la gráfica.:@0.176878:0.369771:0.249610:0.369771:0.249610:0.353382:0.176878:0.353382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096367:0.542456:0.100403:0.542456:0.100403:0.526067:0.096367:0.526067:0.000000
1:@0.327001:0.261745:0.335176:0.261745:0.335176:0.246846:0.327001:0.246846:0.000000
2:@0.327001:0.226113:0.335176:0.226113:0.335176:0.211214:0.327001:0.211214:0.000000
3:@0.327001:0.190481:0.335176:0.190481:0.335176:0.175582:0.327001:0.175582:0.000000
2:@0.429727:0.304908:0.437902:0.304908:0.437902:0.290009:0.429727:0.290009:0.000000
–2:@0.235650:0.304908:0.252201:0.304908:0.252201:0.290009:0.235650:0.290009:0.000000:0.000000
1:@0.382234:0.304908:0.390409:0.304908:0.390409:0.290009:0.382234:0.290009:0.000000
–3:@0.188157:0.304908:0.204708:0.304908:0.204708:0.290009:0.188157:0.290009:0.000000:0.000000
–4:@0.140664:0.304908:0.157215:0.304908:0.157215:0.290009:0.140664:0.290009:0.000000:0.000000
–1:@0.283126:0.304908:0.299678:0.304908:0.299678:0.290009:0.283126:0.290009:0.000000:0.000000
y:@0.326381:0.159728:0.333183:0.159728:0.333183:0.144854:0.326381:0.144854:0.000000
x:@0.470200:0.302544:0.476985:0.302544:0.476985:0.287670:0.470200:0.287670:0.000000
0:@0.326733:0.305097:0.334908:0.305097:0.334908:0.290198:0.326733:0.290198:0.000000
2:@0.397998:0.457402:0.406173:0.457402:0.406173:0.442503:0.397998:0.442503:0.000000
–2:@0.389739:0.528742:0.406290:0.528742:0.406290:0.513843:0.389739:0.513843:0.000000:0.000000
–4:@0.306429:0.500415:0.322980:0.500415:0.322980:0.485516:0.306429:0.485516:0.000000:0.000000
2:@0.452895:0.500415:0.461070:0.500415:0.461070:0.485516:0.452895:0.485516:0.000000
–6:@0.259070:0.500415:0.275621:0.500415:0.275621:0.485516:0.259070:0.485516:0.000000:0.000000
–2:@0.354374:0.500415:0.370926:0.500415:0.370926:0.485516:0.354374:0.485516:0.000000:0.000000
y:@0.398148:0.444150:0.404950:0.444150:0.404950:0.429277:0.398148:0.429277:0.000000
x:@0.471541:0.498755:0.478325:0.498755:0.478325:0.483881:0.471541:0.483881:0.000000
0:@0.399773:0.500603:0.407949:0.500603:0.407949:0.485704:0.399773:0.485704:0.000000
C:@0.258145:0.214830:0.267158:0.214830:0.267158:0.199956:0.258145:0.199956:0.000000
(–1, 2):@0.267158:0.214830:0.307347:0.214830:0.307347:0.199931:0.267158:0.199931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E c:@0.159422:0.185947:0.178218:0.185947:0.178218:0.171073:0.159422:0.171073:0.000000:0.000000:0.000000
( , 3, 1):@0.166809:0.185947:0.212175:0.185947:0.212175:0.171048:0.166809:0.171048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.161564:0.127844:0.169658:0.127844:0.169658:0.113741:0.161564:0.113741:0.000000
3:@0.150170:0.145344:0.158264:0.145344:0.158264:0.131242:0.150170:0.131242:0.000000
–2:@0.211286:0.135511:0.229927:0.135511:0.229927:0.121408:0.211286:0.121408:0.000000:0.000000
1:@0.254904:0.135511:0.262997:0.135511:0.262997:0.121408:0.254904:0.121408:0.000000
2:@0.175134:0.119145:0.179824:0.119145:0.179824:0.110972:0.175134:0.110972:0.000000
2:@0.235823:0.126921:0.240513:0.126921:0.240513:0.118748:0.235823:0.118748:0.000000
(:@0.193933:0.138336:0.199456:0.138336:0.199456:0.120396:0.193933:0.120396:0.000000
):@0.230055:0.138336:0.235578:0.138336:0.235578:0.120396:0.230055:0.120396:0.000000
+ ⎞:@0.151670:0.128454:0.175369:0.127458:0.175369:0.113442:0.151670:0.114438:0.000000:0.000000:0.000000
⎛:@0.132680:0.127470:0.139048:0.127470:0.139048:0.113455:0.132680:0.113455:0.000000
⎝:@0.132680:0.145606:0.139048:0.145606:0.139048:0.131590:0.132680:0.131590:0.000000
⎜:@0.132680:0.137254:0.139048:0.137254:0.139048:0.123238:0.132680:0.123238:0.000000
⎠:@0.169001:0.145593:0.175369:0.145593:0.175369:0.131577:0.169001:0.131577:0.000000
⎟ +:@0.169001:0.137241:0.192103:0.136108:0.192103:0.122092:0.169001:0.123225:0.000000:0.000000:0.000000
=:@0.244528:0.136108:0.253633:0.136108:0.253633:0.122092:0.244528:0.122092:0.000000
x:@0.142150:0.127831:0.148867:0.127831:0.148867:0.113977:0.142150:0.113977:0.000000
y:@0.201043:0.135498:0.207776:0.135498:0.207776:0.121644:0.201043:0.121644:0.000000
x:@0.535580:0.380403:0.542297:0.380403:0.542297:0.365678:0.535580:0.365678:0.000000
a:@0.534826:0.398049:0.543168:0.398049:0.543168:0.383324:0.534826:0.383324:0.000000
y:@0.568230:0.380403:0.574964:0.380403:0.574964:0.365678:0.568230:0.365678:0.000000
b:@0.567195:0.398049:0.575537:0.398049:0.575537:0.383324:0.567195:0.383324:0.000000
2:@0.543730:0.373507:0.548421:0.373507:0.548421:0.364959:0.543730:0.364959:0.000000
2:@0.543490:0.391152:0.548180:0.391152:0.548180:0.382603:0.543490:0.382603:0.000000
2:@0.576381:0.373507:0.581071:0.373507:0.581071:0.364959:0.576381:0.364959:0.000000
2:@0.575862:0.391152:0.580552:0.391152:0.580552:0.382603:0.575862:0.382603:0.000000
1:@0.597867:0.388288:0.605961:0.388288:0.605961:0.373538:0.597867:0.373538:0.000000
+:@0.553950:0.388898:0.563055:0.388898:0.563055:0.374883:0.553950:0.374883:0.000000
=:@0.587170:0.388898:0.596275:0.388898:0.596275:0.374883:0.587170:0.374883:0.000000
x:@0.538549:0.463151:0.545265:0.463151:0.545265:0.448426:0.538549:0.448426:0.000000
x:@0.616997:0.471035:0.623714:0.471035:0.623714:0.456310:0.616997:0.456310:0.000000
x:@0.697566:0.471035:0.704283:0.471035:0.704283:0.456310:0.697566:0.456310:0.000000
m:@0.759617:0.471035:0.772785:0.471035:0.772785:0.456310:0.759617:0.456310:0.000000
2:@0.546699:0.456255:0.551389:0.456255:0.551389:0.447707:0.546699:0.447707:0.000000
2:@0.549669:0.473900:0.554359:0.473900:0.554359:0.465351:0.549669:0.465351:0.000000
2:@0.580907:0.456255:0.585597:0.456255:0.585597:0.447707:0.580907:0.447707:0.000000
2:@0.581281:0.473900:0.585972:0.473900:0.585972:0.465351:0.581281:0.465351:0.000000
10:@0.533272:0.480796:0.549375:0.480796:0.549375:0.466046:0.533272:0.466046:0.000000:0.000000
3:@0.573037:0.463151:0.581130:0.463151:0.581130:0.448401:0.573037:0.448401:0.000000
6:@0.572896:0.480796:0.580989:0.480796:0.580989:0.466046:0.572896:0.466046:0.000000
1;:@0.602767:0.471035:0.611118:0.471035:0.611118:0.456285:0.602767:0.456285:0.000000:0.000000
5 3:@0.639702:0.471035:0.666370:0.471035:0.666370:0.456285:0.639702:0.456285:0.000000:0.000000:0.000000
2:@0.688760:0.471035:0.696853:0.471035:0.696853:0.456285:0.688760:0.456285:0.000000
1732:@0.719243:0.471035:0.755796:0.471035:0.755796:0.456285:0.719243:0.456285:0.000000:0.000000:0.000000:0.000000
+:@0.559895:0.471645:0.569000:0.471645:0.569000:0.457630:0.559895:0.457630:0.000000
=:@0.592070:0.471645:0.601175:0.471645:0.601175:0.457630:0.592070:0.457630:0.000000
=:@0.627976:0.471645:0.637081:0.471645:0.637081:0.457630:0.627976:0.457630:0.000000
→:@0.670002:0.471645:0.686372:0.471645:0.686372:0.457630:0.670002:0.457630:0.000000
=:@0.708545:0.471645:0.717651:0.471645:0.717651:0.457630:0.708545:0.457630:0.000000
,:@0.735305:0.471035:0.738191:0.471035:0.738191:0.456285:0.735305:0.456285:0.000000
La longitud de la viga sería menor:@0.526118:0.572830:0.751753:0.572830:0.751753:0.557931:0.526118:0.557931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tendríamos que trasladar la elipse al punto correspondiente:@0.525978:0.652485:0.925348:0.652485:0.925348:0.637586:0.525978:0.637586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–3, 0):@0.318774:0.475152:0.358963:0.475152:0.358963:0.460253:0.318774:0.460253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.162601:0.395600:0.170695:0.395600:0.170695:0.381497:0.162601:0.381497:0.000000
3:@0.151722:0.413101:0.159815:0.413101:0.159815:0.398998:0.151722:0.398998:0.000000
–:@0.186832:0.403267:0.195124:0.403267:0.195124:0.389164:0.186832:0.389164:0.000000
2:@0.205821:0.413101:0.213915:0.413101:0.213915:0.398998:0.205821:0.398998:0.000000
–1:@0.242954:0.403267:0.259340:0.403267:0.259340:0.389164:0.242954:0.389164:0.000000:0.000000
2:@0.178243:0.386901:0.182933:0.386901:0.182933:0.378728:0.178243:0.378728:0.000000
2:@0.222476:0.386901:0.227167:0.386901:0.227167:0.378728:0.222476:0.378728:0.000000
+ ⎞:@0.151670:0.396210:0.178487:0.395214:0.178487:0.381198:0.151670:0.382194:0.000000:0.000000:0.000000
⎛:@0.132680:0.395226:0.139048:0.395226:0.139048:0.381211:0.132680:0.381211:0.000000
⎝:@0.132680:0.413362:0.139048:0.413362:0.139048:0.399346:0.132680:0.399346:0.000000
⎜:@0.132680:0.405010:0.139048:0.405010:0.139048:0.390994:0.132680:0.390994:0.000000
⎠:@0.172118:0.413349:0.178487:0.413349:0.178487:0.399334:0.172118:0.399334:0.000000
⎟:@0.172118:0.404997:0.178487:0.404997:0.178487:0.390981:0.172118:0.390981:0.000000
⎛ ⎞:@0.196996:0.395201:0.222735:0.395188:0.222735:0.381173:0.196996:0.381185:0.000000:0.000000:0.000000
⎝ ⎠:@0.196996:0.413337:0.222737:0.413324:0.222737:0.399308:0.196996:0.399321:0.000000:0.000000:0.000000
⎜ ⎟ =:@0.196996:0.404984:0.240317:0.403840:0.240317:0.389825:0.196996:0.390969:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.142167:0.395563:0.148884:0.395563:0.148884:0.381709:0.142167:0.381709:0.000000
y:@0.206467:0.395563:0.213200:0.395563:0.213200:0.381709:0.206467:0.381709:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000