如图,已知正三棱柱ABC-A1B1C1的底面边长为2,侧棱长为3倍根号2,点E在侧棱AA1上,点F在侧棱BB1上,且AE=2倍根号2,BF=根号2.(1)求证CF⊥C1E;(2)求二面角E-CF-C1的大小.
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![如图,已知正三棱柱ABC-A1B1C1的底面边长为2,侧棱长为3倍根号2,点E在侧棱AA1上,点F在侧棱BB1上,且AE=2倍根号2,BF=根号2.(1)求证CF⊥C1E;(2)求二面角E-CF-C1的大小.](/uploads/image/z/5503340-20-0.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E6%AD%A3%E4%B8%89%E6%A3%B1%E6%9F%B1ABC%EF%BC%8DA1B1C1%E7%9A%84%E5%BA%95%E9%9D%A2%E8%BE%B9%E9%95%BF%E4%B8%BA2%2C%E4%BE%A7%E6%A3%B1%E9%95%BF%E4%B8%BA3%E5%80%8D%E6%A0%B9%E5%8F%B72%2C%E7%82%B9E%E5%9C%A8%E4%BE%A7%E6%A3%B1AA1%E4%B8%8A%2C%E7%82%B9F%E5%9C%A8%E4%BE%A7%E6%A3%B1BB1%E4%B8%8A%2C%E4%B8%94AE%3D2%E5%80%8D%E6%A0%B9%E5%8F%B72%2CBF%3D%E6%A0%B9%E5%8F%B72.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81CF%E2%8A%A5C1E%3B%282%29%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92E-CF-C1%E7%9A%84%E5%A4%A7%E5%B0%8F.)
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