已知,如图,在平行四边形ABCD中,AD=2AB,E、F分别是线段BA,AB的延长线上的点,且AE=BF=AB,M,N,G分别是CE与AD,DF与BC,CE与DF的交点,求证:EC⊥FD
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![已知,如图,在平行四边形ABCD中,AD=2AB,E、F分别是线段BA,AB的延长线上的点,且AE=BF=AB,M,N,G分别是CE与AD,DF与BC,CE与DF的交点,求证:EC⊥FD](/uploads/image/z/1356940-28-0.jpg?t=%E5%B7%B2%E7%9F%A5%2C%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E4%B8%AD%2CAD%3D2AB%2CE%E3%80%81F%E5%88%86%E5%88%AB%E6%98%AF%E7%BA%BF%E6%AE%B5BA%2CAB%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8A%E7%9A%84%E7%82%B9%2C%E4%B8%94AE%3DBF%3DAB%2CM%2CN%2CG%E5%88%86%E5%88%AB%E6%98%AFCE%E4%B8%8EAD%2CDF%E4%B8%8EBC%2CCE%E4%B8%8EDF%E7%9A%84%E4%BA%A4%E7%82%B9%2C%E6%B1%82%E8%AF%81%EF%BC%9AEC%E2%8A%A5FD)
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