将边长为4厘米的正方形纸片ABCD沿EF折叠(点E,F分别在边AB,CD上),使点B落在AD边上的点M处,点C落在点N处,MN与CD交与点P,连接EP.(1)若M为AD边的中点,三角形AEM的周长等于多少厘米?(2)求证:EP=AE+DP(
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![将边长为4厘米的正方形纸片ABCD沿EF折叠(点E,F分别在边AB,CD上),使点B落在AD边上的点M处,点C落在点N处,MN与CD交与点P,连接EP.(1)若M为AD边的中点,三角形AEM的周长等于多少厘米?(2)求证:EP=AE+DP(](/uploads/image/z/9500646-30-6.jpg?t=%E5%B0%86%E8%BE%B9%E9%95%BF%E4%B8%BA4%E5%8E%98%E7%B1%B3%E7%9A%84%E6%AD%A3%E6%96%B9%E5%BD%A2%E7%BA%B8%E7%89%87ABCD%E6%B2%BFEF%E6%8A%98%E5%8F%A0%EF%BC%88%E7%82%B9E%2CF%E5%88%86%E5%88%AB%E5%9C%A8%E8%BE%B9AB%2CCD%E4%B8%8A%EF%BC%89%2C%E4%BD%BF%E7%82%B9B%E8%90%BD%E5%9C%A8AD%E8%BE%B9%E4%B8%8A%E7%9A%84%E7%82%B9M%E5%A4%84%2C%E7%82%B9C%E8%90%BD%E5%9C%A8%E7%82%B9N%E5%A4%84%2CMN%E4%B8%8ECD%E4%BA%A4%E4%B8%8E%E7%82%B9P%2C%E8%BF%9E%E6%8E%A5EP.%281%EF%BC%89%E8%8B%A5M%E4%B8%BAAD%E8%BE%B9%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E4%B8%89%E8%A7%92%E5%BD%A2AEM%E7%9A%84%E5%91%A8%E9%95%BF%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%E5%8E%98%E7%B1%B3%3F%282%29%E6%B1%82%E8%AF%81%EF%BC%9AEP%3DAE%2BDP%28)
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