如图,在Rt△ABC中,∠ACB=90°,CD⊥AB于点D,E是AC的中点,ED的延长线与CB的延长线交于点F.(1)求证:DF²=FB*FC(2)若G是BC的中点,连接GD,GD与EF垂直吗?请说明你的理由
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![如图,在Rt△ABC中,∠ACB=90°,CD⊥AB于点D,E是AC的中点,ED的延长线与CB的延长线交于点F.(1)求证:DF²=FB*FC(2)若G是BC的中点,连接GD,GD与EF垂直吗?请说明你的理由](/uploads/image/z/5200430-14-0.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8Rt%E2%96%B3ABC%E4%B8%AD%2C%E2%88%A0ACB%3D90%C2%B0%2CCD%E2%8A%A5AB%E4%BA%8E%E7%82%B9D%2CE%E6%98%AFAC%E7%9A%84%E4%B8%AD%E7%82%B9%2CED%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8ECB%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%A4%E4%BA%8E%E7%82%B9F.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ADF%26%23178%3B%3DFB%2AFC%EF%BC%882%EF%BC%89%E8%8B%A5G%E6%98%AFBC%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E8%BF%9E%E6%8E%A5GD%2CGD%E4%B8%8EEF%E5%9E%82%E7%9B%B4%E5%90%97%3F%E8%AF%B7%E8%AF%B4%E6%98%8E%E4%BD%A0%E7%9A%84%E7%90%86%E7%94%B1)
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