如图,等腰Rt△ABC中,∠BAC=90°,AB=AC,D为AC边上一点,连接BD,以BD为腰作等腰Rt△BDE,DE交BC于点F(1)求证△ABD∽△CBE(2)连接CE,求证BC-CE=√2CD(3)若AB=2,D为AC中点,请直接写出线段DF的长度为__PS如有根
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![如图,等腰Rt△ABC中,∠BAC=90°,AB=AC,D为AC边上一点,连接BD,以BD为腰作等腰Rt△BDE,DE交BC于点F(1)求证△ABD∽△CBE(2)连接CE,求证BC-CE=√2CD(3)若AB=2,D为AC中点,请直接写出线段DF的长度为__PS如有根](/uploads/image/z/6939311-23-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E7%AD%89%E8%85%B0Rt%E2%96%B3ABC%E4%B8%AD%2C%E2%88%A0BAC%3D90%C2%B0%2CAB%3DAC%2CD%E4%B8%BAAC%E8%BE%B9%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E8%BF%9E%E6%8E%A5BD%2C%E4%BB%A5BD%E4%B8%BA%E8%85%B0%E4%BD%9C%E7%AD%89%E8%85%B0Rt%E2%96%B3BDE%2CDE%E4%BA%A4BC%E4%BA%8E%E7%82%B9F%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%E2%96%B3ABD%E2%88%BD%E2%96%B3CBE%EF%BC%882%EF%BC%89%E8%BF%9E%E6%8E%A5CE%2C%E6%B1%82%E8%AF%81BC-CE%3D%E2%88%9A2CD%EF%BC%883%29%E8%8B%A5AB%3D2%2CD%E4%B8%BAAC%E4%B8%AD%E7%82%B9%2C%E8%AF%B7%E7%9B%B4%E6%8E%A5%E5%86%99%E5%87%BA%E7%BA%BF%E6%AE%B5DF%E7%9A%84%E9%95%BF%E5%BA%A6%E4%B8%BA__PS%E5%A6%82%E6%9C%89%E6%A0%B9)
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