如图,AE//BF,AC平分∠BAD,且交BF于点C,BD平分∠ABC,且交AE于点D,连接CD.求证:四边形ABCD是菱形.
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![如图,AE//BF,AC平分∠BAD,且交BF于点C,BD平分∠ABC,且交AE于点D,连接CD.求证:四边形ABCD是菱形.](/uploads/image/z/13638526-70-6.jpg?t=%E5%A6%82%E5%9B%BE%2CAE%2F%2FBF%2CAC%E5%B9%B3%E5%88%86%E2%88%A0BAD%2C%E4%B8%94%E4%BA%A4BF%E4%BA%8E%E7%82%B9C%2CBD%E5%B9%B3%E5%88%86%E2%88%A0ABC%2C%E4%B8%94%E4%BA%A4AE%E4%BA%8E%E7%82%B9D%2C%E8%BF%9E%E6%8E%A5CD.%E6%B1%82%E8%AF%81%EF%BC%9A%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E6%98%AF%E8%8F%B1%E5%BD%A2.)
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