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△ABC中,AB=AC点D是BC中点DF⊥AC于点F,E是DF中点,求证AE⊥BF
人气:280 ℃ 时间:2019-08-21 01:14:56
解答
取CF的中点G,连接DG,DA∵D是BC的中点,AB = AC∴AD⊥BC∵DF⊥AC∴∠DAF =∠FDC∴△DAF∽△DFC∴AF:DF = DF:CF∵E是DF的中点,G是FC的中点∴AF:DF = EF:FG∴△AFE∽△DFG∴∠FAE = ∠FDG∵G是FC的中点∴在△CBF中,D...
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