112:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Funciones racionales y cónicas:@0.073089:0.043661:0.343993:0.043661:0.343993:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.1 La parábola:@0.293660:0.241902:0.413839:0.241902:0.413839:0.224955:0.293660:0.224955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En esta sección, estudiaremos la parábola. En primer lugar, obtenemos la ecuación de :@0.293660:0.274977:0.930800:0.274977:0.930800:0.259265:0.293660:0.259265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta curva cuando el foco está localizado en el eje  . A continuación, obtenemos la :@0.293660:0.291619:0.930967:0.291619:0.930967:0.275906:0.293660:0.275906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.682421:0.291619:0.689876:0.291619:0.689876:0.276184:0.682421:0.276184:0.000000
ecuación canónica de la parábola cuando el foco está localizado en el eje  .:@0.293660:0.308261:0.837944:0.308261:0.837944:0.292548:0.293660:0.292548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.827342:0.308261:0.834815:0.308261:0.834815:0.292826:0.827342:0.292826:0.000000
Sean   una recta en el plano y     ( ,  )   :@0.293660:0.341337:0.604453:0.341348:0.604453:0.325635:0.293660:0.325624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.333273:0.341337:0.340893:0.341337:0.340893:0.325901:0.333273:0.325901:0.000000
5:@0.527061:0.340793:0.542394:0.340793:0.542394:0.327078:0.527061:0.327078:0.000000
a b:@0.551248:0.341348:0.576963:0.341348:0.576963:0.325913:0.551248:0.325913:0.000000:0.000000:0.000000
[:@0.585874:0.341058:0.600510:0.341058:0.600510:0.327648:0.585874:0.327648:0.000000
R:@0.604582:0.340488:0.617872:0.340488:0.617872:0.327591:0.604582:0.327591:0.000000
2:@0.617777:0.335284:0.623014:0.335284:0.623014:0.326124:0.617777:0.326124:0.000000
. Recordemos que la distancia del punto   :@0.622968:0.341348:0.930943:0.341348:0.930943:0.325635:0.622968:0.325635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la recta   se define como el número real no negativo  ( ,  )   ||     ||, donde       y :@0.293660:0.357990:0.930923:0.357990:0.930923:0.342277:0.293660:0.342277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.363184:0.357990:0.370805:0.357990:0.370805:0.342555:0.363184:0.342555:0.000000
d:@0.694128:0.357990:0.703387:0.357990:0.703387:0.342555:0.694128:0.342555:0.000000
L:@0.723582:0.357990:0.731202:0.357990:0.731202:0.342555:0.723582:0.342555:0.000000
5:@0.740240:0.357435:0.755573:0.357435:0.755573:0.343719:0.740240:0.343719:0.000000
2:@0.779774:0.357435:0.795107:0.357435:0.795107:0.343719:0.779774:0.343719:0.000000
[:@0.888082:0.357700:0.902719:0.357700:0.902719:0.344290:0.888082:0.344290:0.000000
L:@0.906938:0.357990:0.914559:0.357990:0.914559:0.342555:0.906938:0.342555:0.000000
el vector       es perpendicular a  . En la Figura 4.1. se muestran el punto  , la recta   y   :@0.293645:0.374632:0.930943:0.374632:0.930943:0.358919:0.293645:0.358919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.371257:0.374077:0.386590:0.374077:0.386590:0.360361:0.371257:0.360361:0.000000
L:@0.539365:0.374632:0.546986:0.374632:0.546986:0.359196:0.539365:0.359196:0.000000
L:@0.895477:0.374632:0.903098:0.374632:0.903098:0.359196:0.895477:0.359196:0.000000
[:@0.293660:0.390984:0.308296:0.390984:0.308296:0.377574:0.293660:0.377574:0.000000
  .:@0.308209:0.391273:0.322916:0.391273:0.322916:0.375561:0.308209:0.375561:0.000000:0.000000:0.000000
L:@0.312166:0.391273:0.319787:0.391273:0.319787:0.375838:0.312166:0.375838:0.000000
En el caso en el que la recta   sea paralela al eje  , y su ecuación cartesiana sea  :@0.293667:0.424349:0.930944:0.424349:0.930944:0.408636:0.293667:0.408636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.524954:0.424349:0.532575:0.424349:0.532575:0.408914:0.524954:0.408914:0.000000
Y:@0.685152:0.424349:0.694061:0.424349:0.694061:0.408914:0.685152:0.408914:0.000000
x:@0.293667:0.440991:0.301122:0.440991:0.301122:0.425556:0.293667:0.425556:0.000000
     con      , se tiene::@0.301048:0.440991:0.471685:0.440996:0.471685:0.425283:0.301048:0.425278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.305006:0.440436:0.320339:0.440436:0.320339:0.426721:0.305006:0.426721:0.000000
c:@0.324204:0.440991:0.331862:0.440991:0.331862:0.425556:0.324204:0.425556:0.000000
c:@0.367314:0.440991:0.374972:0.440991:0.374972:0.425556:0.367314:0.425556:0.000000
[:@0.378851:0.440706:0.393487:0.440706:0.393487:0.427296:0.378851:0.427296:0.000000
L:@0.397357:0.440996:0.404977:0.440996:0.404977:0.425561:0.397357:0.425561:0.000000
d:@0.513617:0.474072:0.522876:0.474072:0.522876:0.458636:0.513617:0.458636:0.000000
( ,  )   ||     ||   |     |.:@0.522802:0.474072:0.706963:0.474077:0.706963:0.458364:0.522802:0.458359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.542689:0.474077:0.550309:0.474077:0.550309:0.458641:0.542689:0.458641:0.000000
5:@0.558979:0.473522:0.574312:0.473522:0.574312:0.459806:0.558979:0.459806:0.000000
2:@0.597791:0.473522:0.613125:0.473522:0.613125:0.459806:0.597791:0.459806:0.000000
5:@0.636997:0.473522:0.652330:0.473522:0.652330:0.459806:0.636997:0.459806:0.000000
a:@0.660006:0.474077:0.669265:0.474077:0.669265:0.458641:0.660006:0.458641:0.000000
2:@0.673149:0.473522:0.688482:0.473522:0.688482:0.459806:0.673149:0.459806:0.000000
c:@0.692348:0.474077:0.700005:0.474077:0.700005:0.458641:0.692348:0.458641:0.000000
En la Figura 4.2. se muestran el punto   y la recta   paralela al eje  ,:@0.293665:0.507152:0.772930:0.507159:0.772930:0.491446:0.293665:0.491440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.647135:0.507159:0.654755:0.507159:0.654755:0.491723:0.647135:0.491723:0.000000
Y:@0.760891:0.507159:0.769801:0.507159:0.769801:0.491723:0.760891:0.491723:0.000000
     y         :@0.554730:0.540239:0.663459:0.540239:0.663459:0.524527:0.554730:0.524527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.558681:0.539949:0.573317:0.539949:0.573317:0.526539:0.558681:0.526539:0.000000
L:@0.577187:0.540239:0.584808:0.540239:0.584808:0.524804:0.577187:0.524804:0.000000
2:@0.612619:0.539685:0.627953:0.539685:0.627953:0.525969:0.612619:0.525969:0.000000
':@0.644186:0.539379:0.659519:0.539379:0.659519:0.526482:0.644186:0.526482:0.000000
L.:@0.663385:0.540239:0.674264:0.540239:0.674264:0.524804:0.663385:0.524804:0.000000:0.000000
En el caso en el que la recta   sea perpendicular al eje   y su ecuación cartesiana sea     :@0.293675:0.573315:0.930934:0.573315:0.930934:0.557602:0.293675:0.557602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.495308:0.573315:0.502929:0.573315:0.502929:0.557880:0.495308:0.557880:0.000000
Y:@0.681093:0.573315:0.690002:0.573315:0.690002:0.557880:0.681093:0.557880:0.000000
y:@0.900452:0.573315:0.907925:0.573315:0.907925:0.557880:0.900452:0.557880:0.000000
5:@0.911570:0.572760:0.926903:0.572760:0.926903:0.559045:0.911570:0.559045:0.000000
c:@0.293657:0.589957:0.301314:0.589957:0.301314:0.574522:0.293657:0.574522:0.000000
 con      , se tiene: :@0.301241:0.589957:0.450836:0.589963:0.450836:0.574250:0.301241:0.574244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.336767:0.589957:0.344424:0.589957:0.344424:0.574522:0.336767:0.574522:0.000000
[:@0.348320:0.589673:0.362956:0.589673:0.362956:0.576263:0.348320:0.576263:0.000000
R:@0.366826:0.589103:0.380116:0.589103:0.380116:0.576206:0.366826:0.576206:0.000000
d:@0.513623:0.623039:0.522882:0.623039:0.522882:0.607603:0.513623:0.607603:0.000000
( ,  )   ||     ||   |     |.:@0.522809:0.623039:0.706963:0.623044:0.706963:0.607331:0.522809:0.607326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.542689:0.623044:0.550309:0.623044:0.550309:0.607608:0.542689:0.607608:0.000000
5:@0.558979:0.622489:0.574312:0.622489:0.574312:0.608773:0.558979:0.608773:0.000000
2:@0.597791:0.622489:0.613125:0.622489:0.613125:0.608773:0.597791:0.608773:0.000000
5:@0.636997:0.622489:0.652330:0.622489:0.652330:0.608773:0.636997:0.608773:0.000000
b:@0.660006:0.623044:0.669265:0.623044:0.669265:0.607608:0.660006:0.607608:0.000000
2:@0.673149:0.622489:0.688482:0.622489:0.688482:0.608773:0.673149:0.608773:0.000000
c:@0.692348:0.623044:0.700005:0.623044:0.700005:0.607608:0.692348:0.607608:0.000000
En la Figura 4.3. se muestran el punto  , y la recta   paralela al eje  ,   :@0.293665:0.656119:0.788293:0.656124:0.788293:0.640412:0.293665:0.640407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.650257:0.656124:0.657878:0.656124:0.657878:0.640689:0.650257:0.640689:0.000000
X:@0.764014:0.656124:0.773070:0.656124:0.773070:0.640689:0.764014:0.640689:0.000000
     y         :@0.554730:0.689206:0.663459:0.689206:0.663459:0.673494:0.554730:0.673494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.558681:0.688916:0.573317:0.688916:0.573317:0.675507:0.558681:0.675507:0.000000
L:@0.577187:0.689206:0.584808:0.689206:0.584808:0.673771:0.577187:0.673771:0.000000
2:@0.612619:0.688652:0.627953:0.688652:0.627953:0.674936:0.612619:0.674936:0.000000
':@0.644186:0.688347:0.659519:0.688347:0.659519:0.675449:0.644186:0.675449:0.000000
L.:@0.663385:0.689206:0.674264:0.689206:0.674264:0.673771:0.663385:0.673771:0.000000:0.000000
Definición:@0.293675:0.722282:0.383742:0.722282:0.383742:0.705335:0.293675:0.705335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean   una recta paralela al eje   de ecuación cartesiana :@0.384717:0.722282:0.930934:0.722282:0.930934:0.706569:0.384717:0.706569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.451260:0.722282:0.458880:0.722282:0.458880:0.706847:0.451260:0.706847:0.000000
Y:@0.704304:0.722282:0.713213:0.722282:0.713213:0.706847:0.704304:0.706847:0.000000
x:@0.293657:0.738924:0.301112:0.738924:0.301112:0.723489:0.293657:0.723489:0.000000
   :@0.300854:0.738924:0.323974:0.738924:0.323974:0.723211:0.300854:0.723211:0.000000:0.000000:0.000000
5 2:@0.304885:0.738369:0.339307:0.738369:0.339307:0.724654:0.304885:0.724654:0.000000:0.000000:0.000000
c:@0.339031:0.738924:0.346688:0.738924:0.346688:0.723489:0.339031:0.723489:0.000000
 con     :@0.346430:0.738924:0.411438:0.738929:0.411438:0.723216:0.346430:0.723211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.381570:0.738924:0.389227:0.738924:0.389227:0.723489:0.381570:0.723489:0.000000
[:@0.393034:0.738639:0.407670:0.738639:0.407670:0.725229:0.393034:0.725229:0.000000
R:@0.411438:0.738069:0.424728:0.738069:0.424728:0.725172:0.411438:0.725172:0.000000
1:@0.424454:0.731907:0.435605:0.731907:0.435605:0.721932:0.424454:0.721932:0.000000
, y     ( , 0). Se le llama parábola de directriz a la recta   y foco   en el :@0.435404:0.738929:0.930959:0.738929:0.930959:0.723216:0.435404:0.723216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.466467:0.738374:0.481801:0.738374:0.481801:0.724659:0.466467:0.724659:0.000000
c:@0.490176:0.738929:0.497833:0.738929:0.497833:0.723494:0.490176:0.723494:0.000000
L:@0.821230:0.738929:0.828851:0.738929:0.828851:0.723494:0.821230:0.723494:0.000000
eje  , al conjunto de puntos denotado y definido como::@0.293660:0.755571:0.686495:0.755571:0.686495:0.739858:0.293660:0.739858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.318418:0.755571:0.325873:0.755571:0.325873:0.740135:0.318418:0.740135:0.000000
( ,  )   {      |  ( ,  )   ||     ||}.:@0.491838:0.788651:0.740546:0.788651:0.740546:0.772939:0.491838:0.772939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.511117:0.788651:0.518774:0.788651:0.518774:0.773216:0.511117:0.773216:0.000000
5:@0.527444:0.788097:0.542777:0.788097:0.542777:0.774381:0.527444:0.774381:0.000000
[:@0.563813:0.788362:0.578450:0.788362:0.578450:0.774952:0.563813:0.774952:0.000000
R:@0.582319:0.787792:0.595609:0.787792:0.595609:0.774894:0.582319:0.774894:0.000000
2:@0.595509:0.782588:0.600746:0.782588:0.600746:0.773427:0.595509:0.773427:0.000000
d:@0.612425:0.788651:0.621684:0.788651:0.621684:0.773216:0.612425:0.773216:0.000000
L:@0.641902:0.788651:0.649523:0.788651:0.649523:0.773216:0.641902:0.773216:0.000000
5:@0.658192:0.788097:0.673526:0.788097:0.673526:0.774381:0.658192:0.774381:0.000000
2:@0.697408:0.788097:0.712741:0.788097:0.712741:0.774381:0.697408:0.774381:0.000000
Notemos que  ( ,  ) es la distancia del punto   a la recta fija   y que ||     || es la distancia :@0.293660:0.821733:0.931016:0.821733:0.931016:0.806021:0.293660:0.806021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.395544:0.821733:0.404803:0.821733:0.404803:0.806298:0.395544:0.806298:0.000000
L:@0.424293:0.821733:0.431914:0.821733:0.431914:0.806298:0.424293:0.806298:0.000000
L:@0.717410:0.821733:0.725031:0.821733:0.725031:0.806298:0.717410:0.806298:0.000000
2:@0.790840:0.821179:0.806173:0.821179:0.806173:0.807463:0.790840:0.807463:0.000000
del punto   al punto fijo  , llamada foco. Luego, la parábola de directriz de recta   y foco :@0.293658:0.838375:0.930969:0.838375:0.930969:0.822663:0.293658:0.822663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.871410:0.838375:0.879031:0.838375:0.879031:0.822940:0.871410:0.822940:0.000000
 es el conjunto  ( ,  ), constituido por todos los puntos     :@0.301942:0.855017:0.736570:0.855017:0.736570:0.839304:0.301942:0.839304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.444109:0.855017:0.451767:0.855017:0.451767:0.839582:0.444109:0.839582:0.000000
[:@0.717989:0.854727:0.732625:0.854727:0.732625:0.841317:0.717989:0.841317:0.000000
R:@0.736662:0.854157:0.749953:0.854157:0.749953:0.841260:0.736662:0.841260:0.000000
2:@0.749850:0.848953:0.755087:0.848953:0.755087:0.839793:0.749850:0.839793:0.000000
, tal que la distancia  ( , :@0.755041:0.855017:0.930943:0.855017:0.930943:0.839304:0.755041:0.839304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.901305:0.855017:0.910564:0.855017:0.910564:0.839582:0.901305:0.839582:0.000000
L:@0.293660:0.871659:0.301281:0.871659:0.301281:0.856224:0.293660:0.856224:0.000000
) es igual a la distancia de   al foco .:@0.301207:0.871659:0.564140:0.871659:0.564140:0.855946:0.301207:0.855946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Ecuación cartesiana de la parábola:@0.073089:0.098522:0.707128:0.098522:0.707128:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se genera una parábola?:@0.310262:0.182686:0.543217:0.182686:0.543217:0.166973:0.310262:0.166973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 4.2:@0.056091:0.544973:0.107418:0.544973:0.107418:0.533546:0.056091:0.533546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 4.3:@0.056091:0.712956:0.107418:0.712956:0.107418:0.701529:0.056091:0.701529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.120149:0.467515:0.126682:0.467515:0.126682:0.456087:0.120149:0.456087:0.000000
a:@0.213483:0.466254:0.220217:0.466254:0.220217:0.455028:0.213483:0.455028:0.000000
b:@0.118971:0.504510:0.125704:0.504510:0.125704:0.493284:0.118971:0.493284:0.000000
c:@0.075088:0.479013:0.080657:0.479013:0.080657:0.467787:0.075088:0.467787:0.000000
L:@0.073808:0.428815:0.080736:0.428815:0.080736:0.414783:0.073808:0.414783:0.000000
y:@0.113903:0.410159:0.120358:0.410159:0.120358:0.396829:0.113903:0.396829:0.000000
x:@0.267507:0.483073:0.273945:0.483073:0.273945:0.469743:0.267507:0.469743:0.000000
u:@0.152120:0.506266:0.159741:0.506266:0.159741:0.493637:0.152120:0.493637:0.000000
 :@0.154469:0.506709:0.163250:0.506709:0.163250:0.494295:0.154469:0.494295:0.000000:0.000000
2:@0.163250:0.505812:0.175795:0.505812:0.175795:0.494590:0.163250:0.494590:0.000000
 :@0.175795:0.506266:0.179093:0.506266:0.179093:0.493410:0.175795:0.493410:0.000000
u:@0.219549:0.505363:0.227170:0.505363:0.227170:0.492734:0.219549:0.492734:0.000000
 :@0.221899:0.505806:0.230679:0.505806:0.230679:0.493393:0.221899:0.493393:0.000000:0.000000
5:@0.230634:0.504909:0.243179:0.504909:0.243179:0.493688:0.230634:0.493688:0.000000
 ( ,  ):@0.243179:0.505363:0.275439:0.505363:0.275439:0.492508:0.243179:0.492508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.250423:0.505363:0.271448:0.505363:0.271448:0.492734:0.250423:0.492734:0.000000:0.000000:0.000000
u:@0.211604:0.636140:0.219225:0.636140:0.219225:0.623512:0.211604:0.623512:0.000000
 :@0.213953:0.636583:0.222734:0.636583:0.222734:0.624170:0.213953:0.624170:0.000000:0.000000
2:@0.222734:0.635687:0.235279:0.635687:0.235279:0.624465:0.222734:0.624465:0.000000
 :@0.235279:0.636140:0.238577:0.636140:0.238577:0.623285:0.235279:0.623285:0.000000
u:@0.220384:0.688489:0.228005:0.688489:0.228005:0.675860:0.220384:0.675860:0.000000
 :@0.222734:0.688932:0.231514:0.688932:0.231514:0.676518:0.222734:0.676518:0.000000:0.000000
5:@0.231514:0.688035:0.244059:0.688035:0.244059:0.676813:0.231514:0.676813:0.000000
 ( ,  ):@0.244059:0.688489:0.276409:0.688489:0.276409:0.675633:0.244059:0.675633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.251349:0.688489:0.272418:0.688489:0.272418:0.675860:0.251349:0.675860:0.000000:0.000000:0.000000
L:@0.263158:0.610412:0.270085:0.610412:0.270085:0.596380:0.263158:0.596380:0.000000
0:@0.122703:0.647676:0.129236:0.647676:0.129236:0.636249:0.122703:0.636249:0.000000
c:@0.122007:0.622189:0.127576:0.622189:0.127576:0.610963:0.122007:0.610963:0.000000
b:@0.121431:0.682705:0.128165:0.682705:0.128165:0.671479:0.121431:0.671479:0.000000
a:@0.214525:0.659184:0.221259:0.659184:0.221259:0.647959:0.214525:0.647959:0.000000
y:@0.116458:0.575196:0.122912:0.575196:0.122912:0.561866:0.116458:0.561866:0.000000
x:@0.270060:0.663240:0.276499:0.663240:0.276499:0.649910:0.270060:0.649910:0.000000
u:@0.156605:0.672338:0.164225:0.672338:0.164225:0.659709:0.156605:0.659709:0.000000
:@0.158954:0.672780:0.163969:0.672780:0.163969:0.660367:0.158954:0.660367:0.000000
Figura 4.1:@0.056091:0.374310:0.107418:0.374310:0.107418:0.362883:0.056091:0.362883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.108114:0.312806:0.114647:0.312806:0.114647:0.301379:0.108114:0.301379:0.000000
L:@0.252085:0.296518:0.259013:0.296518:0.259013:0.282486:0.252085:0.282486:0.000000
y:@0.101874:0.239065:0.108328:0.239065:0.108328:0.225735:0.101874:0.225735:0.000000
x:@0.275005:0.328370:0.281444:0.328370:0.281444:0.315039:0.275005:0.315039:0.000000
 :@0.213117:0.281112:0.215858:0.281112:0.215858:0.267462:0.213117:0.267462:0.000000
2:@0.215858:0.280658:0.228403:0.280658:0.228403:0.269436:0.215858:0.269436:0.000000
 :@0.228403:0.281112:0.231701:0.281112:0.231701:0.268256:0.228403:0.268256:0.000000
DBA 5 (Ev. 4) Representa lugares geométricos en el plano cartesiano, a partir de su expresión algebraica.:@0.371822:0.971336:0.917167:0.971336:0.917167:0.959909:0.371822:0.959909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000