在△ABC中,AB=8,AC=4,G为BC的中点,DG⊥BC交∠BAC的平分线AD于D,DE⊥AB于E,DF⊥AC于F.(1)求证:BE=CF.(2)求AE的长.
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![在△ABC中,AB=8,AC=4,G为BC的中点,DG⊥BC交∠BAC的平分线AD于D,DE⊥AB于E,DF⊥AC于F.(1)求证:BE=CF.(2)求AE的长.](/uploads/image/z/4190420-20-0.jpg?t=%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2CAB%3D8%2CAC%3D4%2CG%E4%B8%BABC%E7%9A%84%E4%B8%AD%E7%82%B9%2CDG%E2%8A%A5BC%E4%BA%A4%E2%88%A0BAC%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BFAD%E4%BA%8ED%2CDE%E2%8A%A5AB%E4%BA%8EE%2CDF%E2%8A%A5AC%E4%BA%8EF.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ABE%3DCF.%EF%BC%882%EF%BC%89%E6%B1%82AE%E7%9A%84%E9%95%BF.)
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