已知正方形ABCD,一直角三角形的直角顶点放正方形的对角线DB上一点E上,将此三角板D点旋转时,两边分别交AB,BC于M,N.当M,N分别在AB,BC上时,求证MB+BM=根号下2BE,当M在AB上,N在BC的延长线上时,求证BM-BN
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![已知正方形ABCD,一直角三角形的直角顶点放正方形的对角线DB上一点E上,将此三角板D点旋转时,两边分别交AB,BC于M,N.当M,N分别在AB,BC上时,求证MB+BM=根号下2BE,当M在AB上,N在BC的延长线上时,求证BM-BN](/uploads/image/z/10928698-34-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%AD%A3%E6%96%B9%E5%BD%A2ABCD%2C%E4%B8%80%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%E7%9A%84%E7%9B%B4%E8%A7%92%E9%A1%B6%E7%82%B9%E6%94%BE%E6%AD%A3%E6%96%B9%E5%BD%A2%E7%9A%84%E5%AF%B9%E8%A7%92%E7%BA%BFDB%E4%B8%8A%E4%B8%80%E7%82%B9E%E4%B8%8A%2C%E5%B0%86%E6%AD%A4%E4%B8%89%E8%A7%92%E6%9D%BFD%E7%82%B9%E6%97%8B%E8%BD%AC%E6%97%B6%2C%E4%B8%A4%E8%BE%B9%E5%88%86%E5%88%AB%E4%BA%A4AB%2CBC%E4%BA%8EM%2CN.%E5%BD%93M%2CN%E5%88%86%E5%88%AB%E5%9C%A8AB%2CBC%E4%B8%8A%E6%97%B6%2C%E6%B1%82%E8%AF%81MB%2BBM%3D%E6%A0%B9%E5%8F%B7%E4%B8%8B2BE%2C%E5%BD%93M%E5%9C%A8AB%E4%B8%8A%2CN%E5%9C%A8BC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8A%E6%97%B6%2C%E6%B1%82%E8%AF%81BM-BN)
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