如图,在菱形ABCD中.如图,在菱形ABCD中,点E,F分别在边BC,CD,∠BAF=∠DAE,AE与BD交于点M,AF与BD交于点N,BE=DF.问:若AD=5,DF=3,求的值.

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如图,在菱形ABCD中.如图,在菱形ABCD中,点E,F分别在边BC,CD,∠BAF=∠DAE,AE与BD交于点M,AF与BD交于点N,BE=DF.问:若AD=5,DF=3,求的值.如图,在菱形ABC

如图,在菱形ABCD中.如图,在菱形ABCD中,点E,F分别在边BC,CD,∠BAF=∠DAE,AE与BD交于点M,AF与BD交于点N,BE=DF.问:若AD=5,DF=3,求的值.
如图,在菱形ABCD中.
如图,在菱形ABCD中,点E,F分别在边BC,CD,∠BAF=∠DAE,AE与BD交于点M,AF与BD交于点N,BE=DF.
问:若AD=5,DF=3,求的值.
 

如图,在菱形ABCD中.如图,在菱形ABCD中,点E,F分别在边BC,CD,∠BAF=∠DAE,AE与BD交于点M,AF与BD交于点N,BE=DF.问:若AD=5,DF=3,求的值.
AD//BE,所以△AMD∽△EMB,从而BM/DM=BE/DA;
而∠BAF=∠DAE,有公共角∠EAF,所以∠BAE=∠DAF,又∠ABE=∠ADF,AB=AD,所以△ABE≌△ADF,所以BE=DF=3,又DA=AD=5,所以BM/DM=BE/DA=3/5.