已知:正方形ABCD中,E是AB的中点,F是AD上一点,且ED=FC,ED,FC交于点G,连接BG,BH平分角CBG交FC于点H,连接DH.求证:(1)AF=FD;(2)CF垂直DE;(3)三角形DGH是等腰直角三角形.(只需要证最后一问)
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![已知:正方形ABCD中,E是AB的中点,F是AD上一点,且ED=FC,ED,FC交于点G,连接BG,BH平分角CBG交FC于点H,连接DH.求证:(1)AF=FD;(2)CF垂直DE;(3)三角形DGH是等腰直角三角形.(只需要证最后一问)](/uploads/image/z/10414739-11-9.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9A%E6%AD%A3%E6%96%B9%E5%BD%A2ABCD%E4%B8%AD%2CE%E6%98%AFAB%E7%9A%84%E4%B8%AD%E7%82%B9%2CF%E6%98%AFAD%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E4%B8%94ED%3DFC%2CED%2CFC%E4%BA%A4%E4%BA%8E%E7%82%B9G%2C%E8%BF%9E%E6%8E%A5BG%2CBH%E5%B9%B3%E5%88%86%E8%A7%92CBG%E4%BA%A4FC%E4%BA%8E%E7%82%B9H%2C%E8%BF%9E%E6%8E%A5DH.%E6%B1%82%E8%AF%81%EF%BC%9A%EF%BC%881%EF%BC%89AF%3DFD%3B%282%29CF%E5%9E%82%E7%9B%B4DE%3B%283%29%E4%B8%89%E8%A7%92%E5%BD%A2DGH%E6%98%AF%E7%AD%89%E8%85%B0%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2.%EF%BC%88%E5%8F%AA%E9%9C%80%E8%A6%81%E8%AF%81%E6%9C%80%E5%90%8E%E4%B8%80%E9%97%AE%EF%BC%89)
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