120:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000 Competencia matemática:@0.088959:0.074738:0.431117:0.074738:0.431117:0.046697:0.088959:0.046697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Problema resuelto:@0.105828:0.164440:0.278090:0.164440:0.278090:0.144466:0.105828:0.144466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Calcular la medida de la línea diagonal de un :@0.105828:0.187535:0.480093:0.187535:0.480093:0.171866:0.105828:0.171866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 prisma cuadrangular que va de un vértice superior :@0.105828:0.204132:0.480091:0.204132:0.480091:0.188462:0.105828:0.188462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a uno inferior. La arista de la base del prisma mide :@0.105828:0.220728:0.480093:0.220728:0.480093:0.205058:0.105828:0.205058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 20 :@0.105828:0.237324:0.127849:0.237324:0.127849:0.221655:0.105828:0.221655:0.000000:0.000000:0.000000 cm:@0.127849:0.237324:0.150146:0.237324:0.150146:0.220963:0.127849:0.220963:0.000000:0.000000 y la altura, 60 :@0.150146:0.237324:0.253451:0.237324:0.253451:0.221655:0.150146:0.221655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.253451:0.237324:0.275749:0.237324:0.275749:0.220963:0.253451:0.220963:0.000000:0.000000 .:@0.275749:0.237324:0.278955:0.237324:0.278955:0.221655:0.275749:0.221655:0.000000 Problema resuelto:@0.523743:0.164440:0.696005:0.164440:0.696005:0.144466:0.523743:0.144466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Calcular la medida de la línea diagonal de un :@0.523743:0.187535:0.898008:0.187535:0.898008:0.171866:0.523743:0.171866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 prisma hexagonal que va de un vértice superior a :@0.523743:0.204132:0.898026:0.204132:0.898026:0.188462:0.523743:0.188462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 uno inferior. La arista de la base del prisma mide :@0.523743:0.220728:0.898008:0.220728:0.898008:0.205058:0.523743:0.205058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.893972:0.220728:0.898008:0.220728:0.898008:0.205058:0.893972:0.205058:0.000000 2 y la altura, 6 :@0.523743:0.237324:0.645715:0.237324:0.645715:0.221655:0.523743:0.221655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.536771:0.237324:0.551403:0.237324:0.551403:0.220963:0.536771:0.220963:0.000000 m.:@0.645715:0.237324:0.663682:0.237324:0.663682:0.220963:0.645715:0.220963:0.000000:0.000000 1. Comprender el problema:@0.096351:0.281955:0.320097:0.281955:0.320097:0.265054:0.096351:0.265054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.302119:0.100165:0.302119:0.100165:0.285219:0.096351:0.285219:0.000000 ¿Cuál es la pregunta del problema?:@0.120085:0.302119:0.397882:0.302119:0.397882:0.285219:0.120085:0.285219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.325838:0.100386:0.325838:0.100386:0.310169:0.096351:0.310169:0.000000 ¿De qué cuerpo geométrico se calculará la diago-:@0.120085:0.325838:0.486427:0.325838:0.486427:0.310169:0.120085:0.310169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nal? Prisma cuadrangular:@0.120085:0.342435:0.303532:0.342435:0.303532:0.326765:0.120085:0.326765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.366154:0.100386:0.366154:0.100386:0.350484:0.096351:0.350484:0.000000 ¿Cuánto mide la arista de la base del prisma? 20 :@0.120085:0.366154:0.464514:0.366154:0.464514:0.350484:0.120085:0.350484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.464312:0.366154:0.486425:0.366154:0.486425:0.349792:0.464312:0.349792:0.000000:0.000000 :@0.096351:0.389873:0.100386:0.389873:0.100386:0.374203:0.096351:0.374203:0.000000 ¿Cuánto mide la altura del prisma? 60 :@0.120085:0.389873:0.398674:0.389873:0.398674:0.374203:0.120085:0.374203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.398674:0.389873:0.413306:0.389873:0.413306:0.373511:0.398674:0.373511:0.000000 2. Fijar una estrategia:@0.096351:0.410037:0.272427:0.410037:0.272427:0.393137:0.096351:0.393137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.430202:0.100165:0.430202:0.100165:0.413301:0.096351:0.413301:0.000000 ¿Cuál es la estrategia de solución?:@0.120085:0.430202:0.388521:0.430202:0.388521:0.413301:0.120085:0.413301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.453921:0.100386:0.453921:0.100386:0.438251:0.096351:0.438251:0.000000 Realizamos un dibujo en tres dimensiones, es de-:@0.120085:0.453921:0.486427:0.453921:0.486427:0.438251:0.120085:0.438251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cir, lo hacemos con perspectiva. Ahí dibujamos la :@0.120085:0.470517:0.490444:0.470517:0.490444:0.454847:0.120085:0.454847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diagonal y observamos cómo obtener su medida.:@0.120085:0.487114:0.484691:0.487114:0.484691:0.471444:0.120085:0.471444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. Aplicar la estrategia:@0.096351:0.507278:0.277605:0.507278:0.277605:0.490378:0.096351:0.490378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.527443:0.100165:0.527443:0.100165:0.510542:0.096351:0.510542:0.000000 ¿Cómo se aplica la estrategia? :@0.120085:0.527443:0.363955:0.527443:0.363955:0.510542:0.120085:0.510542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.856023:0.100165:0.856023:0.100165:0.839123:0.096351:0.839123:0.000000 4. Responder:@0.096351:0.889216:0.206308:0.889216:0.206308:0.872315:0.096351:0.872315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.909381:0.100165:0.909381:0.100165:0.892480:0.096351:0.892480:0.000000 ¿Llegaste a la solución del problema? :@0.120085:0.909381:0.418757:0.909381:0.418757:0.892480:0.120085:0.892480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096351:0.934109:0.100386:0.934109:0.100386:0.918440:0.096351:0.918440:0.000000 La diagonal mide 20 11:@0.120085:0.934109:0.300412:0.933581:0.300412:0.917912:0.120085:0.918440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.300931:0.933581:0.324076:0.933581:0.328669:0.917912:0.305524:0.917912:0.000000:0.000000 .:@0.325657:0.933581:0.328864:0.933581:0.328864:0.917912:0.325657:0.917912:0.000000 1. Comprender el problema:@0.514246:0.281953:0.737992:0.281953:0.737992:0.265052:0.514246:0.265052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.302117:0.518060:0.302117:0.518060:0.285216:0.514246:0.285216:0.000000 ¿Cuál es la pregunta del problema?:@0.537981:0.302117:0.815777:0.302117:0.815777:0.285216:0.537981:0.285216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.325836:0.518281:0.325836:0.518281:0.310166:0.514246:0.310166:0.000000 ¿De qué cuerpo geométrico se calculará la diagonal? :@0.537981:0.325836:0.908396:0.325836:0.908396:0.310166:0.537981:0.310166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.350565:0.518281:0.350565:0.518281:0.334895:0.514246:0.334895:0.000000 Prisma hexagonal:@0.537981:0.350565:0.662164:0.350565:0.662164:0.334895:0.537981:0.334895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.374671:0.518281:0.374671:0.518281:0.359001:0.514246:0.359001:0.000000 ¿Cuánto mide la arista de la base del prisma? 2:@0.537981:0.374671:0.852964:0.374671:0.852964:0.359001:0.537981:0.359001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.852411:0.374671:0.867043:0.374671:0.867043:0.358310:0.852411:0.358310:0.000000 :@0.514246:0.398390:0.518281:0.398390:0.518281:0.382720:0.514246:0.382720:0.000000 ¿Cuánto mide la altura del prisma? 6:@0.537981:0.398390:0.803541:0.398390:0.803541:0.382720:0.537981:0.382720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.802988:0.398390:0.817620:0.398390:0.817620:0.382029:0.802988:0.382029:0.000000 2. Fijar una estrategia:@0.514246:0.418554:0.690322:0.418554:0.690322:0.401654:0.514246:0.401654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.438719:0.518060:0.438719:0.518060:0.421818:0.514246:0.421818:0.000000 ¿Cuál es la estrategia de solución?:@0.537981:0.438719:0.806416:0.438719:0.806416:0.421818:0.537981:0.421818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.465965:0.518281:0.465965:0.518281:0.450295:0.514246:0.450295:0.000000 Realizamos un dibujo en tres dimensiones, es decir, :@0.537981:0.465965:0.908356:0.465965:0.908356:0.450295:0.537981:0.450295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo hacemos con perspectiva. Ahí dibujamos la dia-:@0.537981:0.482561:0.904283:0.482561:0.904283:0.466891:0.537981:0.466891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gonal y observamos cómo obtener su medida.:@0.537981:0.500167:0.880344:0.500167:0.880344:0.484497:0.537981:0.484497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. Aplicar la estrategia:@0.514246:0.527454:0.695500:0.527454:0.695500:0.510554:0.514246:0.510554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.547619:0.518060:0.547619:0.518060:0.530718:0.514246:0.530718:0.000000 ¿Cómo se aplica la estrategia? :@0.537981:0.547619:0.781850:0.547619:0.781850:0.530718:0.537981:0.530718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. Responder:@0.514246:0.893653:0.624204:0.893653:0.624204:0.876753:0.514246:0.876753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.913818:0.518060:0.913818:0.518060:0.896917:0.514246:0.896917:0.000000 ¿Llegaste a la solución del problema? :@0.537981:0.913818:0.836652:0.913818:0.836652:0.896917:0.537981:0.896917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.942322:0.518281:0.942322:0.518281:0.926652:0.514246:0.926652:0.000000 La diagonal mide :@0.537981:0.942322:0.668835:0.942322:0.668835:0.926652:0.537981:0.926652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.711153:0.942146:0.724322:0.942146:0.724322:0.928293:0.711153:0.928293:0.000000 213:@0.672378:0.942146:0.706527:0.942146:0.706527:0.928044:0.672378:0.928044:0.000000:0.000000:0.000000 .:@0.723875:0.942146:0.726760:0.942146:0.726760:0.928044:0.723875:0.928044:0.000000 90º:@0.187477:0.646699:0.207705:0.646699:0.207705:0.633485:0.187477:0.633485:0.000000:0.000000:0.000000 90º:@0.157743:0.676567:0.177971:0.676567:0.177971:0.663353:0.157743:0.663353:0.000000:0.000000:0.000000 20 :@0.162095:0.692255:0.180228:0.692255:0.180228:0.679041:0.162095:0.679041:0.000000:0.000000:0.000000 cm:@0.180228:0.692255:0.198259:0.692255:0.198259:0.679030:0.180228:0.679030:0.000000:0.000000 60 :@0.248993:0.621878:0.267127:0.621878:0.267127:0.608665:0.248993:0.608665:0.000000:0.000000:0.000000 cm:@0.267127:0.621878:0.285157:0.621878:0.285157:0.608654:0.267127:0.608654:0.000000:0.000000 El gráfico permite vi-:@0.305303:0.557636:0.485747:0.557636:0.485747:0.541966:0.305303:0.541966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sualizar dos triángulos :@0.305303:0.574232:0.489782:0.574232:0.489782:0.558562:0.305303:0.558562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 rectángulos: uno en la :@0.305303:0.590828:0.489790:0.590828:0.489790:0.575159:0.305303:0.575159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 base, donde calculare-:@0.305303:0.607425:0.485747:0.607425:0.485747:0.591755:0.305303:0.591755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mos la diagonal que es :@0.305303:0.624021:0.489764:0.624021:0.489764:0.608351:0.305303:0.608351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el cateto del segundo :@0.305303:0.640617:0.489792:0.640617:0.489792:0.624948:0.305303:0.624948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 triángulo, donde está la :@0.305303:0.657214:0.489799:0.657214:0.489799:0.641544:0.305303:0.641544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diagonal requerida.:@0.305303:0.673810:0.447452:0.673810:0.447452:0.658140:0.305303:0.658140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El gráfico permite visualizar un :@0.685815:0.588367:0.907677:0.588367:0.907677:0.572697:0.685815:0.572697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 triángulo rectángulo formado :@0.685815:0.604963:0.907684:0.604963:0.907684:0.589293:0.685815:0.589293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por la diagonal del hexágono :@0.685815:0.621559:0.907681:0.621559:0.907681:0.605890:0.685815:0.605890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la base, la altura del prisma :@0.685815:0.638156:0.907679:0.638156:0.907679:0.622486:0.685815:0.622486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y la diagonal requerida.:@0.685815:0.654752:0.856417:0.654752:0.856417:0.639082:0.685815:0.639082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d es igual a dos veces el radio :@0.680932:0.739961:0.907721:0.739961:0.907721:0.724291:0.680932:0.724291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la circunferencia que inscri-:@0.680932:0.756557:0.903647:0.756557:0.903647:0.740887:0.680932:0.740887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 be al hexágono y el radio es :@0.680932:0.773153:0.907647:0.773153:0.907647:0.757484:0.680932:0.757484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 igual al valor del lado por ser :@0.680932:0.789750:0.907684:0.789750:0.907684:0.774080:0.680932:0.774080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un hexágono: = 2 = 4 :@0.680932:0.806346:0.861154:0.806346:0.861154:0.790676:0.680932:0.790676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.786467:0.806346:0.795736:0.806346:0.795736:0.789985:0.786467:0.789985:0.000000 r:@0.823783:0.806346:0.829072:0.806346:0.829072:0.789985:0.823783:0.789985:0.000000 m:@0.861154:0.806346:0.875786:0.806346:0.875786:0.789985:0.861154:0.789985:0.000000 d:@0.212048:0.743792:0.221317:0.743792:0.221317:0.727430:0.212048:0.727430:0.000000 d:@0.347693:0.790248:0.356963:0.790248:0.356963:0.773886:0.347693:0.773886:0.000000 60 cm:@0.275531:0.743792:0.318172:0.743792:0.318172:0.727430:0.275531:0.727430:0.000000:0.000000:0.000000:0.000000:0.000000 20 cm:@0.181789:0.786693:0.224431:0.786693:0.224431:0.770332:0.181789:0.770332:0.000000:0.000000:0.000000:0.000000:0.000000 20 cm:@0.127870:0.757733:0.170512:0.757733:0.170512:0.741371:0.127870:0.741371:0.000000:0.000000:0.000000:0.000000:0.000000 D:@0.365292:0.743792:0.376828:0.743792:0.376828:0.727430:0.365292:0.727430:0.000000 Estrategia: hacer un gráfico tridimensional:@0.095871:0.124969:0.663674:0.124969:0.663674:0.096929:0.095871:0.096929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.586455:0.823874:0.595724:0.823874:0.595724:0.807513:0.586455:0.807513:0.000000 6 cm:@0.514938:0.769950:0.549066:0.769950:0.549066:0.753588:0.514938:0.753588:0.000000:0.000000:0.000000:0.000000 D:@0.605915:0.769950:0.617451:0.769950:0.617451:0.753588:0.605915:0.753588:0.000000 (:@0.571392:0.858156:0.546383:0.858156:0.546383:0.839145:0.571392:0.839145:0.000000 ):@0.602253:0.858156:0.577244:0.858156:0.577244:0.839145:0.602253:0.839145:0.000000 (:@0.628263:0.858156:0.603957:0.858156:0.603957:0.839145:0.628263:0.839145:0.000000 ):@0.658421:0.858156:0.634115:0.858156:0.634115:0.839145:0.658421:0.839145:0.000000 =:@0.547377:0.855805:0.487729:0.855805:0.487729:0.840953:0.547377:0.840953:0.000000 +:@0.616674:0.855805:0.557025:0.855805:0.557025:0.840953:0.616674:0.840953:0.000000 =:@0.675144:0.855805:0.684793:0.855805:0.684793:0.840953:0.675144:0.840953:0.000000 D:@0.530712:0.855119:0.542082:0.855119:0.546463:0.840175:0.535093:0.840175:0.000000 m:@0.585632:0.855119:0.600025:0.855119:0.604406:0.840175:0.590013:0.840175:0.000000 m:@0.641800:0.855119:0.656194:0.855119:0.660574:0.840175:0.646181:0.840175:0.000000 m:@0.721131:0.855119:0.735525:0.855119:0.739905:0.840175:0.725512:0.840175:0.000000 4:@0.578232:0.855159:0.586808:0.855159:0.586808:0.840215:0.578232:0.840215:0.000000 6:@0.634752:0.855159:0.643328:0.855159:0.643328:0.840215:0.634752:0.840215:0.000000 213:@0.687229:0.855159:0.723415:0.855159:0.723415:0.840215:0.687229:0.840215:0.000000:0.000000:0.000000 2:@0.608339:0.846054:0.613309:0.846054:0.613309:0.837393:0.608339:0.837393:0.000000 2:@0.664511:0.846054:0.669481:0.846054:0.669481:0.837393:0.664511:0.837393:0.000000 2 :@0.569370:0.688666:0.580765:0.688666:0.580765:0.674487:0.569370:0.674487:0.000000:0.000000 m:@0.580765:0.688666:0.593465:0.688666:0.593465:0.674475:0.580765:0.674475:0.000000 90º:@0.562568:0.642808:0.584274:0.642808:0.584274:0.628629:0.562568:0.628629:0.000000:0.000000:0.000000 6 :@0.628739:0.633454:0.640135:0.633454:0.640135:0.619275:0.628739:0.619275:0.000000:0.000000 m:@0.640135:0.633454:0.652834:0.633454:0.652834:0.619263:0.640135:0.619263:0.000000 d:@0.136250:0.821636:0.146274:0.821636:0.150868:0.805966:0.140843:0.805966:0.000000 cm:@0.202995:0.821636:0.226151:0.821636:0.230745:0.805966:0.207588:0.805966:0.000000:0.000000 cm:@0.279334:0.821636:0.302479:0.821636:0.307072:0.805966:0.283927:0.805966:0.000000:0.000000 cm:@0.376079:0.821636:0.399224:0.821636:0.403817:0.805966:0.380672:0.805966:0.000000:0.000000 D:@0.136250:0.853108:0.148172:0.853108:0.152766:0.837438:0.140843:0.837438:0.000000 cm:@0.205667:0.853108:0.228822:0.853108:0.233415:0.837438:0.210260:0.837438:0.000000:0.000000 cm:@0.307066:0.853108:0.330226:0.853108:0.334819:0.837438:0.311659:0.837438:0.000000:0.000000 cm:@0.410423:0.853108:0.433566:0.853108:0.438160:0.837438:0.415016:0.837438:0.000000:0.000000 (20:@0.177363:0.821636:0.200859:0.821636:0.200859:0.805966:0.177363:0.805966:0.000000:0.000000:0.000000 ):@0.228887:0.821636:0.233770:0.821636:0.233770:0.805966:0.228887:0.805966:0.000000 (20:@0.253691:0.821636:0.277186:0.821636:0.277186:0.805966:0.253691:0.805966:0.000000:0.000000:0.000000 ):@0.305214:0.821636:0.310098:0.821636:0.310098:0.805966:0.305214:0.805966:0.000000 20 2:@0.333372:0.821636:0.372825:0.821636:0.372825:0.805966:0.333372:0.805966:0.000000:0.000000:0.000000:0.000000 60:@0.185730:0.853114:0.203512:0.853114:0.203512:0.837444:0.185730:0.837444:0.000000:0.000000 20 2:@0.264360:0.853114:0.303814:0.853114:0.303814:0.837444:0.264360:0.837444:0.000000:0.000000:0.000000:0.000000 2011:@0.362782:0.853114:0.409883:0.853114:0.409883:0.837444:0.362782:0.837444:0.000000:0.000000:0.000000:0.000000 2:@0.233745:0.813974:0.238957:0.813974:0.238957:0.804893:0.233745:0.804893:0.000000 2:@0.310073:0.813974:0.315284:0.813974:0.315284:0.804893:0.310073:0.804893:0.000000 2:@0.237569:0.843558:0.242780:0.843558:0.242780:0.834477:0.237569:0.834477:0.000000 2:@0.338972:0.840649:0.344184:0.840649:0.344184:0.831567:0.338972:0.831567:0.000000 (:@0.257932:0.859953:0.264069:0.859953:0.264069:0.832545:0.257932:0.832545:0.000000 ):@0.332583:0.859953:0.338719:0.859953:0.338719:0.832545:0.332583:0.832545:0.000000 (:@0.178935:0.856239:0.185071:0.856239:0.185071:0.836306:0.178935:0.836306:0.000000 ):@0.231177:0.856239:0.237314:0.856239:0.237314:0.836306:0.231177:0.836306:0.000000 =:@0.152602:0.822314:0.162719:0.822314:0.162719:0.806741:0.152602:0.806741:0.000000 +:@0.242234:0.822314:0.252351:0.822314:0.252351:0.806741:0.242234:0.806741:0.000000 =:@0.322265:0.822314:0.332382:0.822314:0.332382:0.806741:0.322265:0.806741:0.000000 =:@0.153744:0.853792:0.163861:0.853792:0.163861:0.838219:0.153744:0.838219:0.000000 +:@0.246048:0.853792:0.256165:0.853792:0.256165:0.838219:0.246048:0.838219:0.000000 =:@0.350109:0.853792:0.360226:0.853792:0.360226:0.838219:0.350109:0.838219:0.000000