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由已知条件DE=BF,根据等边减等边可得AF=CE,由此可证明四边形AECF为平行四边形,从而得到AE∥CF。通过此题可知,平行四边形又为我们证明直线平行增加了一种方法。 证明:∵四边形ABCD为平行四边形,∴AB∥CD,AB=CD 又∵DE=BF,∴AB-BF=CD-DE,即AF=CE...