De los tres problemas-imagen que os he enviado este tercero es con el que mas cara de tonto se me ha quedado.
Una tontería será pero ahí lo llevais:
http://imageshack.com/a/
>
> (AEF) = (ABCD)/2 - 2(ABE)(ADF)/(ABCD)
>
> = 24/2 - 2·4·9/24 = 12 - 3 = 9
>
http://www.xente.mundo-r.com/
Bueno es fácil sacar que DF= 3DC/4 y que BE=BC/3 de ahí sacamos que el área de ECF es 2/3 ·1/4·1/2 de 24=2. Y está hecho.
Esto sale de:
AD·AB=24
AD·DF/2=9 luego DF=3AB/4
Igual con ABE
Saludos.
Paco Moya
Bueno, ahora ya está ahí con la deducción de la solución en general,
según la idea de Paco Moya:
http://www.xente.mundo-r.com/
27 comentarios:
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