﻿100:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
Modelos matemáticos con funciones :@0.404235:0.122320:0.850820:0.122320:0.850820:0.077661:0.404235:0.077661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales simples:@0.404235:0.160039:0.574054:0.160039:0.574054:0.115380:0.404235:0.115380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.22. Resolver (con o sin el uso de la tecnología) problemas o situaciones, reales o hipotéticas, con el empleo de la modelización con funciones reales (función afín a trozos, :@0.143128:0.943209:0.894296:0.943209:0.894296:0.933167:0.143128:0.933167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función potencia entera negativa con n = –1, –2, función raíz cuadrada, función valor absoluto de la función afín), identificando las variables significativas presentes y las :@0.143128:0.952010:0.894332:0.952010:0.894332:0.941968:0.143128:0.941968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones entre ellas; juzgar la pertinencia y validez de los resultados obtenidos.:@0.143128:0.960811:0.485096:0.960811:0.485096:0.950769:0.143128:0.950769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.108582:0.307805:0.108582:0.307805:0.093110:0.199646:0.093110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo identificas la :@0.199884:0.137210:0.334182:0.137210:0.334182:0.122147:0.199884:0.122147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función real raíz cuadrada?:@0.153341:0.153052:0.325580:0.153052:0.325580:0.137989:0.153341:0.137989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.196639:0.363493:0.196639:0.363493:0.181166:0.199646:0.181166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la representa-:@0.199884:0.225267:0.342609:0.225267:0.342609:0.210204:0.199884:0.210204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción gráfica de la función área :@0.153341:0.241109:0.350665:0.241109:0.350665:0.226046:0.153341:0.226046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un terreno de forma rectan-:@0.153341:0.256951:0.355360:0.256951:0.355360:0.241888:0.153341:0.241888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gular de largo 3  y ancho  ?:@0.153341:0.272793:0.330366:0.272793:0.330366:0.257730:0.153341:0.257730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.252460:0.272899:0.259285:0.272899:0.259285:0.257862:0.252460:0.257862:0.000000
x:@0.318335:0.272899:0.325160:0.272899:0.325160:0.257862:0.318335:0.257862:0.000000
Modelización con funciones reales:@0.404236:0.182864:0.679597:0.182864:0.679597:0.165182:0.404236:0.165182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404236:0.207076:0.522215:0.207076:0.522215:0.190289:0.404236:0.190289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supongamos que, por simplicidad, la trayectoria de la ciudad AAA a :@0.404236:0.231179:0.895938:0.231179:0.895938:0.214681:0.404236:0.214681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ciudad BBB es considerada una recta horizontal. Una ciclista parte :@0.404236:0.248529:0.895966:0.248529:0.895966:0.232032:0.404236:0.232032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ciudad AAA a las 09h00 hacia la ciudad BBB. Recorre 30 km en :@0.404236:0.265880:0.895980:0.265880:0.895980:0.249383:0.404236:0.249383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada hora. Esto es, su velocidad media es :@0.404236:0.287482:0.697968:0.287482:0.697968:0.270984:0.404236:0.270984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.721840:0.287691:0.737063:0.287691:0.737063:0.272843:0.721840:0.272843:0.000000:0.000000
v:@0.698658:0.287795:0.705663:0.287795:0.705663:0.272973:0.698658:0.272973:0.000000
km:@0.744300:0.279423:0.764829:0.279423:0.764829:0.264601:0.744300:0.264601:0.000000:0.000000
h:@0.750237:0.297670:0.758698:0.297670:0.758698:0.282848:0.750237:0.282848:0.000000
=:@0.709161:0.288261:0.718680:0.288261:0.718680:0.273609:0.709161:0.273609:0.000000
.:@0.765815:0.287482:0.768570:0.287482:0.768570:0.270985:0.765815:0.270985:0.000000
La función de desplazamiento de la ciclista es  ( ) = 30 ,   ≥ 09h00. :@0.404245:0.311962:0.895932:0.311962:0.895932:0.295464:0.404245:0.295464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s t:@0.741171:0.312077:0.759165:0.312077:0.759165:0.295608:0.741171:0.295608:0.000000:0.000000:0.000000
t t:@0.803976:0.312077:0.823534:0.312077:0.823534:0.295608:0.803976:0.295608:0.000000:0.000000:0.000000
Dos horas más tarde, parte un automóvil con una velocidad media :@0.404245:0.329312:0.895986:0.329312:0.895986:0.312815:0.404245:0.312815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de :@0.404245:0.354456:0.426245:0.354456:0.426245:0.337959:0.404245:0.337959:0.000000:0.000000:0.000000
70:@0.426527:0.354792:0.441750:0.354792:0.441750:0.339944:0.426527:0.339944:0.000000:0.000000
km:@0.448980:0.346528:0.469510:0.346528:0.469510:0.331707:0.448980:0.331707:0.000000:0.000000
h:@0.454910:0.364773:0.463372:0.364773:0.463372:0.349951:0.454910:0.349951:0.000000
. La función de desplazamiento del automóvil es  ( ) = 70 ,  :@0.469808:0.354459:0.895913:0.354459:0.895913:0.337961:0.469808:0.337961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s t:@0.818221:0.354575:0.840737:0.354575:0.840737:0.338106:0.818221:0.338106:0.000000:0.000000:0.000000
2:@0.824597:0.357130:0.829120:0.357130:0.829120:0.348348:0.824597:0.348348:0.000000
t:@0.883352:0.354575:0.889016:0.354575:0.889016:0.338106:0.883352:0.338106:0.000000
t:@0.404245:0.379719:0.409909:0.379719:0.409909:0.363250:0.404245:0.363250:0.000000
 ≥ 11h00. Durante las dos primeras horas, la ciclista recorre :@0.409909:0.379603:0.895967:0.379603:0.895967:0.363105:0.409909:0.363105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891771:0.379603:0.895913:0.379603:0.895913:0.363105:0.891771:0.363105:0.000000
s:@0.404245:0.397069:0.410621:0.397069:0.410621:0.380601:0.404245:0.380601:0.000000
(2) = 30 × 2 km = 60 km, lo que nos permite definir una nueva función :@0.410621:0.396954:0.895927:0.396954:0.895927:0.380456:0.410621:0.380456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891771:0.396954:0.895913:0.396954:0.895913:0.380456:0.891771:0.380456:0.000000
s t:@0.404245:0.414420:0.426752:0.414422:0.426752:0.397953:0.404245:0.397951:0.000000:0.000000:0.000000
1:@0.410612:0.416978:0.415135:0.416978:0.415135:0.408196:0.410612:0.408196:0.000000
( ) = 60 + 30 ,   ≥11h00. En la figura 2.63. en el sistema de coordena-:@0.415135:0.414306:0.891831:0.414306:0.891831:0.397809:0.415135:0.397809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t t:@0.503948:0.414422:0.521923:0.414422:0.521923:0.397953:0.503948:0.397953:0.000000:0.000000:0.000000
das rectangulares, representamos gráficamente estas dos funciones.:@0.404250:0.431657:0.881846:0.431657:0.881846:0.415160:0.404250:0.415160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A cada instante, las distancias recorridas por la ciclista y el automóvil :@0.404250:0.456136:0.895840:0.456136:0.895840:0.439639:0.404250:0.439639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre aumentan, es decir que las funciones   y   son estrictamente :@0.404250:0.473487:0.895910:0.473486:0.895910:0.456989:0.404250:0.456989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s s:@0.724553:0.473603:0.756506:0.473602:0.756506:0.457133:0.724553:0.457134:0.000000:0.000000:0.000000
1:@0.730928:0.476157:0.735451:0.476157:0.735451:0.467376:0.730928:0.467376:0.000000
2:@0.756511:0.476157:0.761033:0.476157:0.761033:0.467376:0.756511:0.467376:0.000000
crecientes. En las gráficas de estas funciones observamos que la de la :@0.404241:0.490837:0.895825:0.490837:0.895825:0.474339:0.404241:0.474339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciclista es más inclinada que la del automóvil o que la gráfica de la :@0.404241:0.508188:0.895985:0.508188:0.895985:0.491690:0.404241:0.491690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función de desplazamiento del automóvil es más empinada que la de :@0.404241:0.525539:0.895947:0.525539:0.895947:0.509041:0.404241:0.509041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ciclista. Esta observación se traduce en el hecho de que la gráfica :@0.404241:0.542889:0.895865:0.542889:0.895865:0.526392:0.404241:0.526392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que corresponde al automóvil tiene una pendiente mayor que la que :@0.404241:0.560240:0.895850:0.560240:0.895850:0.543742:0.404241:0.543742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
le corresponde a la ciclista. Además, observamos que las dos gráficas :@0.404241:0.577591:0.895960:0.577591:0.895960:0.561093:0.404241:0.561093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se cortan en un punto  . Así, una estimación visual de  , basada en las :@0.404241:0.594942:0.895891:0.594942:0.895891:0.578444:0.404241:0.578444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.563738:0.595057:0.569402:0.595057:0.569402:0.578589:0.563738:0.578589:0.000000
1:@0.569432:0.597614:0.573954:0.597614:0.573954:0.588832:0.569432:0.588832:0.000000
t:@0.783384:0.595057:0.789048:0.595057:0.789048:0.578589:0.783384:0.578589:0.000000
1:@0.789091:0.597614:0.793613:0.597614:0.793613:0.588832:0.789091:0.588832:0.000000
gráficas, no resulta muy apropiada. Ahora, calculemos analíticamente :@0.404244:0.612292:0.895928:0.612292:0.895928:0.595795:0.404244:0.595795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este punto. Tenemos  ( ) = 60 + 30 y   ( ) = 70 , luego, :@0.404244:0.629643:0.826673:0.629643:0.826673:0.613145:0.404244:0.613145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s t:@0.556418:0.629759:0.578926:0.629759:0.578926:0.613290:0.556418:0.613290:0.000000:0.000000:0.000000
1:@0.562788:0.632316:0.567310:0.632316:0.567310:0.623534:0.562788:0.623534:0.000000
1:@0.578927:0.632316:0.583449:0.632316:0.583449:0.623534:0.578927:0.623534:0.000000
t:@0.661569:0.629759:0.667233:0.629759:0.667233:0.613290:0.661569:0.613290:0.000000
1  :@0.667232:0.632316:0.676164:0.632316:0.676164:0.623534:0.667232:0.623534:0.000000:0.000000:0.000000
s t:@0.692269:0.629759:0.714785:0.629759:0.714785:0.613290:0.692269:0.613290:0.000000:0.000000:0.000000
2:@0.698646:0.632316:0.703169:0.632316:0.703169:0.623534:0.698646:0.623534:0.000000
1:@0.714785:0.632316:0.719308:0.632316:0.719308:0.623534:0.714785:0.623534:0.000000
t:@0.761344:0.629759:0.767008:0.629759:0.767008:0.613290:0.761344:0.613290:0.000000
1 :@0.767006:0.632316:0.773733:0.632316:0.773733:0.623534:0.767006:0.623534:0.000000:0.000000
s t:@0.439347:0.660108:0.461869:0.660104:0.461869:0.643635:0.439347:0.643639:0.000000:0.000000:0.000000
1:@0.445729:0.662659:0.450251:0.662659:0.450251:0.653877:0.445729:0.653877:0.000000
( ) =  ( ):@0.450252:0.659988:0.524425:0.659988:0.524425:0.643490:0.450252:0.643490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.461868:0.662659:0.466390:0.662659:0.466390:0.653877:0.461868:0.653877:0.000000
s t:@0.491434:0.660104:0.513950:0.660104:0.513950:0.643635:0.491434:0.643635:0.000000:0.000000:0.000000
2:@0.497812:0.662659:0.502334:0.662659:0.502334:0.653877:0.497812:0.653877:0.000000
1:@0.513949:0.662659:0.518472:0.662659:0.518472:0.653877:0.513949:0.653877:0.000000
   :@0.524425:0.659773:0.548804:0.659773:0.548804:0.644736:0.524425:0.644736:0.000000:0.000000:0.000000
60 + 30  = 70  :@0.548451:0.659988:0.662123:0.659988:0.662123:0.643490:0.548451:0.643490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.601527:0.660104:0.607191:0.660104:0.607191:0.643635:0.601527:0.643635:0.000000
1:@0.607190:0.662659:0.611712:0.662659:0.611712:0.653877:0.607190:0.653877:0.000000
t:@0.647795:0.660104:0.653459:0.660104:0.653459:0.643635:0.647795:0.643635:0.000000
1:@0.653458:0.662659:0.657981:0.662659:0.657981:0.653877:0.653458:0.653877:0.000000
   :@0.662123:0.659773:0.686502:0.659773:0.686502:0.644736:0.662123:0.644736:0.000000:0.000000:0.000000
60 = 40:@0.686149:0.659988:0.739225:0.659988:0.739225:0.643490:0.686149:0.643490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.739225:0.660104:0.744889:0.660104:0.744889:0.643635:0.739225:0.643635:0.000000
1:@0.744888:0.662659:0.749410:0.662659:0.749410:0.653877:0.744888:0.653877:0.000000
   :@0.749409:0.659773:0.773788:0.659773:0.773788:0.644736:0.749409:0.644736:0.000000:0.000000:0.000000
  1:@0.773436:0.662659:0.785827:0.662659:0.785827:0.653877:0.773436:0.653877:0.000000:0.000000:0.000000
t:@0.775640:0.660104:0.781304:0.660104:0.781304:0.643635:0.775640:0.643635:0.000000
 = = 1,5,:@0.785827:0.659988:0.856655:0.659988:0.856655:0.643490:0.785827:0.643490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.805069:0.650675:0.813565:0.650675:0.813565:0.634178:0.805069:0.634178:0.000000
2:@0.804860:0.670949:0.813356:0.670949:0.813356:0.654452:0.804860:0.654452:0.000000
es decir que después de hora y media de recorrido, el automóvil  :@0.404229:0.689455:0.895898:0.689455:0.895898:0.672958:0.404229:0.672958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alcanza a la ciclista.:@0.404229:0.706806:0.538911:0.706806:0.538911:0.690309:0.404229:0.690309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404229:0.731661:0.522208:0.731661:0.522208:0.714874:0.404229:0.714874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Uso de escalas:@0.404229:0.756227:0.514290:0.756227:0.514290:0.739281:0.404229:0.739281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La unidad de medida de longitud en el Sistema Internacional es el :@0.404229:0.780243:0.895894:0.780243:0.895894:0.763746:0.404229:0.763746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metro (m) con sus múltiplos y submúltiplos. Sin embargo, en algunos :@0.404229:0.797594:0.895973:0.797594:0.895973:0.781096:0.404229:0.781096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
países se utiliza la pulgada (in), el pie (ft), la yarda (yd) y la milla (mi). :@0.404229:0.814945:0.896008:0.814945:0.896008:0.798447:0.404229:0.798447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dada una medida   > 0 en un sistema, nos interesa el valor de esta :@0.404229:0.832296:0.895879:0.832296:0.895879:0.815798:0.404229:0.815798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.537950:0.832411:0.552745:0.832411:0.552745:0.815942:0.537950:0.815942:0.000000
medida en otro sistema.:@0.404229:0.849646:0.574552:0.849646:0.574552:0.833149:0.404229:0.833149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Muchas magnitudes físicas (como la masa, temperatura, presión y :@0.404229:0.874125:0.895852:0.874125:0.895852:0.857628:0.404229:0.857628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras) o de origen económico (como la cotización de una moneda :@0.404229:0.891476:0.895933:0.891476:0.895933:0.874978:0.404229:0.874978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frente a otra) se expresan en dos o más sistemas de medida y tienen :@0.404229:0.908827:0.895856:0.908827:0.895856:0.892329:0.404229:0.892329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un comportamiento lineal.:@0.404229:0.926178:0.594761:0.926178:0.594761:0.909680:0.404229:0.909680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11h:@0.158093:0.515400:0.176628:0.515400:0.176628:0.503924:0.158093:0.503924:0.000000:0.000000:0.000000
12h:@0.202440:0.515400:0.220975:0.515400:0.220975:0.503924:0.202440:0.503924:0.000000:0.000000:0.000000
13h:@0.254373:0.515400:0.272907:0.515400:0.272907:0.503924:0.254373:0.503924:0.000000:0.000000:0.000000
14h:@0.302955:0.515400:0.321489:0.515400:0.321489:0.503924:0.302955:0.503924:0.000000:0.000000:0.000000
1:@0.211285:0.503924:0.217196:0.503924:0.217196:0.492447:0.211285:0.492447:0.000000
t   2 :@0.235328:0.503924:0.269049:0.503927:0.269049:0.492451:0.235328:0.492447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.239667:0.507722:0.244190:0.507722:0.244190:0.498940:0.239667:0.498940:0.000000
3:@0.308840:0.503927:0.314750:0.503927:0.314750:0.492451:0.308840:0.492451:0.000000
s:@0.147199:0.314829:0.151635:0.314829:0.151635:0.303373:0.147199:0.303373:0.000000
(km):@0.151635:0.314749:0.175906:0.314749:0.175906:0.303272:0.151635:0.303272:0.000000:0.000000:0.000000:0.000000
S=S (t):@0.270637:0.413137:0.306208:0.413137:0.306208:0.400965:0.270637:0.400965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.290330:0.415473:0.293991:0.415473:0.293991:0.408364:0.290330:0.408364:0.000000
S=S (t):@0.254960:0.358612:0.290538:0.358608:0.290538:0.346435:0.254960:0.346439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.274660:0.360944:0.278321:0.360944:0.278321:0.353835:0.274660:0.353835:0.000000
0:@0.152082:0.504156:0.159101:0.504156:0.159101:0.490527:0.152082:0.490527:0.000000
150:@0.143566:0.386739:0.161296:0.386739:0.161296:0.375263:0.143566:0.375263:0.000000:0.000000:0.000000
140:@0.143566:0.395541:0.161296:0.395541:0.161296:0.384064:0.143566:0.384064:0.000000:0.000000:0.000000
120:@0.143566:0.410628:0.161296:0.410628:0.161296:0.399152:0.143566:0.399152:0.000000:0.000000:0.000000
100:@0.143566:0.423201:0.161296:0.423201:0.161296:0.411725:0.143566:0.411725:0.000000:0.000000:0.000000
70:@0.149476:0.443318:0.161296:0.443318:0.161296:0.431841:0.149476:0.431841:0.000000:0.000000
60:@0.149476:0.452119:0.161296:0.452119:0.161296:0.440643:0.149476:0.440643:0.000000:0.000000
50:@0.149476:0.460920:0.161296:0.460920:0.161296:0.449444:0.149476:0.449444:0.000000:0.000000
t(horas):@0.323520:0.504156:0.370992:0.504156:0.370992:0.490527:0.323520:0.490527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.302154:0.539685:0.313634:0.539685:0.313634:0.529661:0.302154:0.529661:0.000000
 :@0.313634:0.540393:0.316516:0.540393:0.316516:0.528916:0.313634:0.528916:0.000000
Figura 2.63.:@0.316516:0.540393:0.370994:0.540393:0.370994:0.528916:0.316516:0.528916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.199644:0.575614:0.319958:0.575614:0.319958:0.560142:0.199644:0.560142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A lo largo del territorio :@0.193072:0.603545:0.344364:0.603545:0.344364:0.588482:0.193072:0.588482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del actual Ecuador hay una gran :@0.153336:0.619387:0.364149:0.619387:0.364149:0.604324:0.153336:0.604324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evidencia de que los indígenas :@0.153336:0.635229:0.353192:0.635229:0.353192:0.620166:0.153336:0.620166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Quitu-Caranqui ya habían de-:@0.153336:0.651071:0.347353:0.651071:0.347353:0.636008:0.153336:0.636008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terminado el posicionamiento :@0.153336:0.666913:0.353263:0.666913:0.353263:0.651850:0.153336:0.651850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la línea ecuatorial. :@0.153336:0.682755:0.291856:0.682755:0.291856:0.667692:0.153336:0.667692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos sentirnos orgullosos :@0.153336:0.705726:0.352716:0.705726:0.352716:0.690663:0.153336:0.690663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la herencia cultural de nues-:@0.153336:0.721568:0.355375:0.721568:0.355375:0.706505:0.153336:0.706505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tros pueblos ancestrales. :@0.153336:0.737410:0.314350:0.737410:0.314350:0.722347:0.153336:0.722347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Juan Páez:@0.138959:0.914239:0.138959:0.887986:0.127490:0.887986:0.127490:0.914239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000