220:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.1.61.:@0.096359:0.936830:0.142269:0.936830:0.142269:0.926075:0.096359:0.926075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolver (con apoyo de las TIC) y plantear problemas con enunciados que involucren modelos con funciones cuadráticas, e interpretar y juzgar la validez de las :@0.142269:0.936830:0.905709:0.936830:0.905709:0.926858:0.142269:0.926858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones obtenidas dentro del contexto del problema.:@0.096359:0.946889:0.358400:0.946889:0.358400:0.936918:0.096359:0.936918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas con ecuaciones :@0.305303:0.070161:0.694022:0.070161:0.694022:0.039433:0.305303:0.039433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de segundo grado:@0.305303:0.099079:0.569050:0.099079:0.569050:0.068351:0.305303:0.068351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 2:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un equipo de estudiantes averigua que un puente colgante está sostenido por un :@0.304744:0.205923:0.907101:0.205923:0.907101:0.190254:0.304744:0.190254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cable en forma de arco invertido, formado por numerosos cables de acero de los :@0.304744:0.222520:0.907047:0.222520:0.907047:0.206850:0.304744:0.206850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se suspende el tablero del puente, mediante tirantes verticales.:@0.304744:0.239116:0.798391:0.239116:0.798391:0.223446:0.304744:0.223446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El equipo de estudiantes decide realizar una investigación de campo y acude a :@0.304744:0.262835:0.907104:0.262835:0.907104:0.247165:0.304744:0.247165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uno de los puentes colgantes, situado en la provincia de Pastaza. Encuentran que :@0.304744:0.279431:0.907162:0.279431:0.907162:0.263762:0.304744:0.263762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la longitud del puente es de 60  , los cables tensores se encuentran separados :@0.304744:0.296028:0.907104:0.296028:0.907104:0.280358:0.304744:0.280358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.547323:0.296028:0.561955:0.296028:0.561955:0.279666:0.547323:0.279666:0.000000
entre sí con una distancia constante. Registran las observaciones que han hecho :@0.304744:0.312624:0.907049:0.312624:0.907049:0.296954:0.304744:0.296954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la siguiente tabla. ¿Qué modelo matemático representan los datos?:@0.304744:0.329220:0.820655:0.329220:0.820655:0.313551:0.304744:0.313551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Modelo matemático :@0.304744:0.358419:0.518566:0.358419:0.518566:0.336610:0.304744:0.336610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos  los  datos  obtenidos  para :@0.304744:0.381200:0.646497:0.381200:0.646497:0.365530:0.304744:0.365530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar la forma geométrica que toma.:@0.304744:0.397796:0.617492:0.397796:0.617492:0.382126:0.304744:0.382126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La forma geométrica que mejor aproxima los :@0.304744:0.421515:0.646481:0.421515:0.646481:0.405845:0.304744:0.405845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
datos es la de una parábola. Para determinar la :@0.304744:0.438112:0.646447:0.438112:0.646447:0.422442:0.304744:0.422442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación de dicha curva, haremos el siguiente :@0.304744:0.454708:0.646497:0.454708:0.646497:0.439038:0.304744:0.439038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
análisis.:@0.304744:0.471304:0.359713:0.471304:0.359713:0.455635:0.304744:0.455635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La forma general de la función cuadrática es: :@0.304744:0.495023:0.635335:0.495023:0.635335:0.479354:0.304744:0.479354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.304744:0.518742:0.312225:0.518742:0.312225:0.502381:0.304744:0.502381:0.000000
 = :@0.312225:0.518742:0.333049:0.518742:0.333049:0.503073:0.312225:0.503073:0.000000:0.000000:0.000000
ax:@0.334818:0.518742:0.351550:0.518742:0.351550:0.502381:0.334818:0.502381:0.000000:0.000000
² +   +  . Tomamos tres puntos de la tabla: (30, 2); (38; 2,30) y (22; 2,30). :@0.351550:0.518742:0.907088:0.518742:0.907088:0.503073:0.351550:0.503073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.379412:0.518742:0.395979:0.518742:0.395979:0.502381:0.379412:0.502381:0.000000:0.000000
c:@0.418571:0.518742:0.426237:0.518742:0.426237:0.502381:0.418571:0.502381:0.000000
Cada punto se reemplaza en la función cuadrática para obtener un sistema de tres :@0.304744:0.535339:0.907031:0.535339:0.907031:0.519669:0.304744:0.519669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones con tres incógnitas. Así::@0.304744:0.551935:0.562248:0.551935:0.562248:0.536265:0.304744:0.536265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(30, 2), reemplazamos las coordenadas: 2 = 30²  + 30  +  ;:@0.304744:0.575654:0.730971:0.575654:0.730971:0.559984:0.304744:0.559984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.645467:0.575654:0.654736:0.575654:0.654736:0.559293:0.645467:0.559293:0.000000
b:@0.691776:0.575654:0.701045:0.575654:0.701045:0.559293:0.691776:0.559293:0.000000
c:@0.720099:0.575654:0.727765:0.575654:0.727765:0.559293:0.720099:0.559293:0.000000
2 = 900  + 30  +  ; primera ecuación.:@0.304744:0.599373:0.581027:0.599373:0.581027:0.583703:0.304744:0.583703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.359769:0.599373:0.369038:0.599373:0.369038:0.583012:0.359769:0.583012:0.000000
b:@0.406077:0.599373:0.415346:0.599373:0.415346:0.583012:0.406077:0.583012:0.000000
c:@0.434401:0.599373:0.442066:0.599373:0.442066:0.583012:0.434401:0.583012:0.000000
(38; 2,30) 2,3 = 38²  + 38  + :@0.304744:0.646825:0.512091:0.646825:0.512091:0.631155:0.304744:0.631155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.437460:0.646825:0.446729:0.646825:0.446729:0.630464:0.437460:0.630464:0.000000
b:@0.483768:0.646825:0.493037:0.646825:0.493037:0.630464:0.483768:0.630464:0.000000
c :@0.512091:0.646825:0.523074:0.646825:0.523074:0.630464:0.512091:0.630464:0.000000:0.000000
2,3 = 1 444  + 38  +  ; segunda ecuación.:@0.304744:0.670544:0.612725:0.670544:0.612725:0.654874:0.304744:0.654874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.384996:0.670544:0.394265:0.670544:0.394265:0.654183:0.384996:0.654183:0.000000
b:@0.431305:0.670544:0.440574:0.670544:0.440574:0.654183:0.431305:0.654183:0.000000
c:@0.459628:0.670544:0.467294:0.670544:0.467294:0.654183:0.459628:0.654183:0.000000
(22; 2,3) 2,3 = 22²  + 22  + :@0.304744:0.717996:0.503099:0.717996:0.503099:0.702326:0.304744:0.702326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.428467:0.717996:0.437736:0.717996:0.437736:0.701634:0.428467:0.701634:0.000000
b:@0.474775:0.717996:0.484045:0.717996:0.484045:0.701634:0.474775:0.701634:0.000000
c:@0.503099:0.717996:0.510765:0.717996:0.510765:0.701634:0.503099:0.701634:0.000000
2,3 = 484  + 22  +  ; tercera ecuación.:@0.304744:0.741715:0.586521:0.741715:0.586521:0.726045:0.304744:0.726045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.371968:0.741715:0.381237:0.741715:0.381237:0.725353:0.371968:0.725353:0.000000
b:@0.418276:0.741715:0.427545:0.741715:0.427545:0.725353:0.418276:0.725353:0.000000
c:@0.446600:0.741715:0.454266:0.741715:0.454266:0.725353:0.446600:0.725353:0.000000
Resolvemos  el sistema de  tres ecuaciones lineales  y obtenemos los  siguientes :@0.304744:0.765434:0.907162:0.765434:0.907162:0.749764:0.304744:0.749764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores::@0.304744:0.782030:0.359400:0.782030:0.359400:0.766360:0.304744:0.766360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.304744:0.805749:0.314013:0.805749:0.314013:0.789388:0.304744:0.789388:0.000000
 = 0,004 6;  = –0,281;   = 6,26:@0.314013:0.805749:0.532657:0.805749:0.532657:0.790079:0.314013:0.790079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.392515:0.805749:0.405101:0.805749:0.405101:0.789388:0.392515:0.789388:0.000000:0.000000
c:@0.475752:0.805749:0.483418:0.805749:0.483418:0.789388:0.475752:0.789388:0.000000
Conclusiones matemáticas:@0.304744:0.833163:0.554624:0.833163:0.554624:0.813190:0.304744:0.813190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nuestro modelo está representado analíticamente por la función cuadrática::@0.304744:0.856258:0.863022:0.856258:0.863022:0.840589:0.304744:0.840589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.304744:0.879977:0.312225:0.879977:0.312225:0.863616:0.304744:0.863616:0.000000
 = 0,004 6  ² – 0,281  + 6,26:@0.312225:0.879977:0.513418:0.879977:0.513418:0.864308:0.312225:0.864308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.383485:0.879977:0.390948:0.879977:0.390948:0.863616:0.383485:0.863616:0.000000
x:@0.456716:0.879977:0.464180:0.879977:0.464180:0.863616:0.456716:0.863616:0.000000
La solución gráfica es la que se muestra a continuación.:@0.304744:0.903696:0.710574:0.903696:0.710574:0.888027:0.304744:0.888027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se forma el sistema de ecuaciones::@0.640716:0.600176:0.895309:0.600176:0.895309:0.584507:0.640716:0.584507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.640716:0.623895:0.655735:0.623895:0.655735:0.606760:0.640716:0.606760:0.000000:0.000000
 2 = 900  + 30  + :@0.655735:0.623895:0.789427:0.623895:0.789427:0.608226:0.655735:0.608226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.714795:0.623895:0.724065:0.623895:0.724065:0.607534:0.714795:0.607534:0.000000
b:@0.761104:0.623895:0.770373:0.623895:0.770373:0.607534:0.761104:0.607534:0.000000
c:@0.789427:0.623895:0.797093:0.623895:0.797093:0.607534:0.789427:0.607534:0.000000
2.:@0.640716:0.647614:0.655735:0.647614:0.655735:0.630479:0.640716:0.630479:0.000000:0.000000
 2,3 = 1 444  + 38  + :@0.655735:0.647614:0.814655:0.647614:0.814655:0.631945:0.655735:0.631945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.740023:0.647614:0.749292:0.647614:0.749292:0.631253:0.740023:0.631253:0.000000
b:@0.786332:0.647614:0.795601:0.647614:0.795601:0.631253:0.786332:0.631253:0.000000
c:@0.814655:0.647614:0.822321:0.647614:0.822321:0.631253:0.814655:0.631253:0.000000
3.:@0.640716:0.671333:0.655735:0.671333:0.655735:0.654198:0.640716:0.654198:0.000000:0.000000
 2,3 = 484  + 22  + :@0.655735:0.671333:0.801626:0.671333:0.801626:0.655664:0.655735:0.655664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.726995:0.671333:0.736264:0.671333:0.736264:0.654972:0.726995:0.654972:0.000000
b:@0.773303:0.671333:0.782572:0.671333:0.782572:0.654972:0.773303:0.654972:0.000000
c:@0.801626:0.671333:0.809292:0.671333:0.809292:0.654972:0.801626:0.654972:0.000000
Indaga:@0.311175:0.166167:0.366679:0.166167:0.366679:0.149267:0.311175:0.149267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Qué es un puente colgante?:@0.366679:0.166167:0.588671:0.166167:0.588671:0.150498:0.366679:0.150498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 142460806.:@0.090041:0.338230:0.090041:0.262951:0.078653:0.262951:0.078653:0.338230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El puente colgante más :@0.105857:0.697002:0.266745:0.697002:0.266745:0.682757:0.105857:0.682757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
largo del mundo es el :@0.105857:0.712090:0.254635:0.712090:0.254635:0.697845:0.105857:0.697845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Akashi Kaikyō, conocido :@0.105857:0.727178:0.269844:0.727178:0.269844:0.712932:0.105857:0.712932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como el \Puente de la :@0.105857:0.742265:0.255638:0.742265:0.255638:0.728020:0.105857:0.728020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Perla\. Está en Japón y :@0.105857:0.757353:0.254383:0.757353:0.254383:0.743108:0.105857:0.743108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene una longitud de  :@0.105857:0.772440:0.257933:0.772440:0.257933:0.758195:0.105857:0.758195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 911 m de largo.:@0.105857:0.787528:0.220776:0.787528:0.220776:0.773283:0.105857:0.773283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138428:0.672491:0.240296:0.672491:0.240296:0.655591:0.138428:0.655591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 584878123. :@0.090041:0.899956:0.090041:0.823025:0.078653:0.823025:0.078653:0.899956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.713985:0.473352:0.719707:0.473352:0.719707:0.463381:0.713985:0.463381:0.000000
1,5:@0.703848:0.412079:0.717333:0.412079:0.717333:0.402107:0.703848:0.402107:0.000000:0.000000:0.000000
2:@0.711611:0.394257:0.717333:0.394257:0.717333:0.384285:0.711611:0.384285:0.000000
2,5:@0.703848:0.376435:0.717333:0.376435:0.717333:0.366463:0.703848:0.366463:0.000000:0.000000:0.000000
1:@0.711609:0.429899:0.717332:0.429899:0.717332:0.419927:0.711609:0.419927:0.000000
0,5:@0.703848:0.447719:0.717333:0.447719:0.717333:0.437747:0.703848:0.437747:0.000000:0.000000:0.000000
10:@0.741237:0.473352:0.752683:0.473352:0.752683:0.463381:0.741237:0.463381:0.000000:0.000000
20:@0.764984:0.473352:0.776429:0.473352:0.776429:0.463381:0.764984:0.463381:0.000000:0.000000
30:@0.788730:0.473352:0.800176:0.473352:0.800176:0.463381:0.788730:0.463381:0.000000:0.000000
40:@0.812477:0.473352:0.823922:0.473352:0.823922:0.463381:0.812477:0.463381:0.000000:0.000000
Longitud del puente ( ):@0.748168:0.487689:0.862408:0.487689:0.862408:0.477718:0.748168:0.477718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.849989:0.487689:0.859300:0.487689:0.859300:0.477278:0.849989:0.477278:0.000000
Altura del cable tensor (:@0.691357:0.457431:0.691357:0.374341:0.678071:0.374341:0.678071:0.457431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.691357:0.374341:0.691357:0.367353:0.677485:0.367353:0.677485:0.374341:0.000000
):@0.691357:0.367353:0.691357:0.365021:0.678071:0.365021:0.678071:0.367353:0.000000
50:@0.836212:0.473352:0.847657:0.473352:0.847657:0.463381:0.836212:0.463381:0.000000:0.000000
60:@0.859958:0.473352:0.871404:0.473352:0.871404:0.463381:0.859958:0.463381:0.000000:0.000000
Longitud :@0.105765:0.412999:0.177332:0.412999:0.177332:0.397422:0.105765:0.397422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del :@0.128130:0.428087:0.154950:0.428087:0.154950:0.412509:0.128130:0.412509:0.000000:0.000000:0.000000:0.000000
puente :@0.113220:0.443175:0.169860:0.443175:0.169860:0.427597:0.113220:0.427597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.127627:0.458262:0.152069:0.458262:0.152069:0.442684:0.127627:0.442684:0.000000:0.000000:0.000000
m:@0.132888:0.458262:0.146809:0.458262:0.146809:0.442710:0.132888:0.442710:0.000000
Altura :@0.205425:0.412999:0.255247:0.412999:0.255247:0.397422:0.205425:0.397422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cable :@0.195273:0.428087:0.265416:0.428087:0.265416:0.412509:0.195273:0.412509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tensor :@0.204638:0.443175:0.256051:0.443175:0.256051:0.427597:0.204638:0.427597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.216432:0.458262:0.240874:0.458262:0.240874:0.442684:0.216432:0.442684:0.000000:0.000000:0.000000
m:@0.221692:0.458262:0.235613:0.458262:0.235613:0.442710:0.221692:0.442710:0.000000
30:@0.131681:0.475450:0.148032:0.475450:0.148032:0.461204:0.131681:0.461204:0.000000:0.000000
       2:@0.191387:0.475450:0.225244:0.475450:0.225244:0.461204:0.191387:0.461204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
34:@0.131681:0.493266:0.148032:0.493266:0.148032:0.479020:0.131681:0.479020:0.000000:0.000000
2,15:@0.214941:0.493266:0.242381:0.493266:0.242381:0.479020:0.214941:0.479020:0.000000:0.000000:0.000000:0.000000
38:@0.131681:0.511082:0.148032:0.511082:0.148032:0.496836:0.131681:0.496836:0.000000:0.000000
2,30:@0.214941:0.511082:0.242381:0.511082:0.242381:0.496836:0.214941:0.496836:0.000000:0.000000:0.000000:0.000000
42:@0.131681:0.528897:0.148032:0.528897:0.148032:0.514652:0.131681:0.514652:0.000000:0.000000
2,45:@0.214941:0.528897:0.242381:0.528897:0.242381:0.514652:0.214941:0.514652:0.000000:0.000000:0.000000:0.000000
26:@0.131681:0.546713:0.148032:0.546713:0.148032:0.532468:0.131681:0.532468:0.000000:0.000000
2,15:@0.214941:0.546713:0.242381:0.546713:0.242381:0.532468:0.214941:0.532468:0.000000:0.000000:0.000000:0.000000
22:@0.131681:0.564529:0.148032:0.564529:0.148032:0.550284:0.131681:0.550284:0.000000:0.000000
2,30:@0.214941:0.564529:0.242381:0.564529:0.242381:0.550284:0.214941:0.550284:0.000000:0.000000:0.000000:0.000000
18:@0.131681:0.582345:0.148032:0.582345:0.148032:0.568100:0.131681:0.568100:0.000000:0.000000
2,45:@0.214941:0.582345:0.242381:0.582345:0.242381:0.568100:0.214941:0.568100:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.311951:0.173250:0.396955:0.173250:0.396955:0.163278:0.311951:0.163278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000