如图,已知正三棱柱ABC-A1B1C1的底面边长是2,侧棱CC1的长是2根号2,点D是侧棱 CC1的中点.求(1)求直线AD与侧面BB1C1C所成的角;(2)求二面角A-BD-C的正切值;(3)求点C到平面ABD的距离.
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![如图,已知正三棱柱ABC-A1B1C1的底面边长是2,侧棱CC1的长是2根号2,点D是侧棱 CC1的中点.求(1)求直线AD与侧面BB1C1C所成的角;(2)求二面角A-BD-C的正切值;(3)求点C到平面ABD的距离.](/uploads/image/z/5503342-22-2.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-A1B1C1%E7%9A%84%E5%BA%95%E9%9D%A2%E8%BE%B9%E9%95%BF%E6%98%AF2%2C%E4%BE%A7%E6%A3%B1CC1%E7%9A%84%E9%95%BF%E6%98%AF2%E6%A0%B9%E5%8F%B72%2C%E7%82%B9D%E6%98%AF%E4%BE%A7%E6%A3%B1+CC1%E7%9A%84%E4%B8%AD%E7%82%B9.%E6%B1%82%EF%BC%881%EF%BC%89%E6%B1%82%E7%9B%B4%E7%BA%BFAD%E4%B8%8E%E4%BE%A7%E9%9D%A2BB1C1C%E6%89%80%E6%88%90%E7%9A%84%E8%A7%92%EF%BC%9B%EF%BC%882%EF%BC%89%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92A-BD-C%E7%9A%84%E6%AD%A3%E5%88%87%E5%80%BC%EF%BC%9B%EF%BC%883%EF%BC%89%E6%B1%82%E7%82%B9C%E5%88%B0%E5%B9%B3%E9%9D%A2ABD%E7%9A%84%E8%B7%9D%E7%A6%BB.)
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