初三一道大题,证明题.已知四边形ABCD为正方形,点E为射线BC上一点,连AE,交射线BD于G,以AE为一边作角EAF=45度,AF边分别交射线CD、BD于点F、H1.当点E为线段BC中点时,证明:根号2倍的BG+DF=2倍根号2倍
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![初三一道大题,证明题.已知四边形ABCD为正方形,点E为射线BC上一点,连AE,交射线BD于G,以AE为一边作角EAF=45度,AF边分别交射线CD、BD于点F、H1.当点E为线段BC中点时,证明:根号2倍的BG+DF=2倍根号2倍](/uploads/image/z/11670800-32-0.jpg?t=%E5%88%9D%E4%B8%89%E4%B8%80%E9%81%93%E5%A4%A7%E9%A2%98%2C%E8%AF%81%E6%98%8E%E9%A2%98.%E5%B7%B2%E7%9F%A5%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E4%B8%BA%E6%AD%A3%E6%96%B9%E5%BD%A2%2C%E7%82%B9E%E4%B8%BA%E5%B0%84%E7%BA%BFBC%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E8%BF%9EAE%2C%E4%BA%A4%E5%B0%84%E7%BA%BFBD%E4%BA%8EG%2C%E4%BB%A5AE%E4%B8%BA%E4%B8%80%E8%BE%B9%E4%BD%9C%E8%A7%92EAF%3D45%E5%BA%A6%2CAF%E8%BE%B9%E5%88%86%E5%88%AB%E4%BA%A4%E5%B0%84%E7%BA%BFCD%E3%80%81BD%E4%BA%8E%E7%82%B9F%E3%80%81H1.%E5%BD%93%E7%82%B9E%E4%B8%BA%E7%BA%BF%E6%AE%B5BC%E4%B8%AD%E7%82%B9%E6%97%B6%2C%E8%AF%81%E6%98%8E%EF%BC%9A%E6%A0%B9%E5%8F%B72%E5%80%8D%E7%9A%84BG%2BDF%3D2%E5%80%8D%E6%A0%B9%E5%8F%B72%E5%80%8D)
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