在△CAB,△DEF中,CA=CB,DE=DF,∠ACB=∠EDF=90°,若把△DEF的顶点E放在AB的中点处,并绕E旋转,交直线CA,CB于M,N,连接CE,MN.(1)若△DEF绕E旋转到如图1位置,则CN,CM,MN,CE之间有何确定的数量关系?请证明.(2)
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![在△CAB,△DEF中,CA=CB,DE=DF,∠ACB=∠EDF=90°,若把△DEF的顶点E放在AB的中点处,并绕E旋转,交直线CA,CB于M,N,连接CE,MN.(1)若△DEF绕E旋转到如图1位置,则CN,CM,MN,CE之间有何确定的数量关系?请证明.(2)](/uploads/image/z/5398496-8-6.jpg?t=%E5%9C%A8%E2%96%B3CAB%2C%E2%96%B3DEF%E4%B8%AD%2CCA%3DCB%2CDE%3DDF%2C%E2%88%A0ACB%3D%E2%88%A0EDF%3D90%C2%B0%2C%E8%8B%A5%E6%8A%8A%E2%96%B3DEF%E7%9A%84%E9%A1%B6%E7%82%B9E%E6%94%BE%E5%9C%A8AB%E7%9A%84%E4%B8%AD%E7%82%B9%E5%A4%84%2C%E5%B9%B6%E7%BB%95E%E6%97%8B%E8%BD%AC%2C%E4%BA%A4%E7%9B%B4%E7%BA%BFCA%2CCB%E4%BA%8EM%2CN%2C%E8%BF%9E%E6%8E%A5CE%2CMN.%EF%BC%881%EF%BC%89%E8%8B%A5%E2%96%B3DEF%E7%BB%95E%E6%97%8B%E8%BD%AC%E5%88%B0%E5%A6%82%E5%9B%BE1%E4%BD%8D%E7%BD%AE%2C%E5%88%99CN%2CCM%2CMN%2CCE%E4%B9%8B%E9%97%B4%E6%9C%89%E4%BD%95%E7%A1%AE%E5%AE%9A%E7%9A%84%E6%95%B0%E9%87%8F%E5%85%B3%E7%B3%BB%3F%E8%AF%B7%E8%AF%81%E6%98%8E.%EF%BC%882%EF%BC%89)
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