如图已知斜三棱柱ABC-A1B1C1,∠BCA=90°,AC=BC=2,A1在底面ABC上的射影恰为AC的中点D,又知BA1⊥AC1(1)求证:AC1⊥平面A1BC(2)求点C1到平面A1AB的距离(3)求二面角A-A1B-C余弦值的大小
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![如图已知斜三棱柱ABC-A1B1C1,∠BCA=90°,AC=BC=2,A1在底面ABC上的射影恰为AC的中点D,又知BA1⊥AC1(1)求证:AC1⊥平面A1BC(2)求点C1到平面A1AB的距离(3)求二面角A-A1B-C余弦值的大小](/uploads/image/z/5345669-29-9.jpg?t=%E5%A6%82%E5%9B%BE%E5%B7%B2%E7%9F%A5%E6%96%9C%E4%B8%89%E6%A3%B1%E6%9F%B1ABC-A1B1C1%2C%E2%88%A0BCA%3D90%C2%B0%2CAC%3DBC%3D2%2CA1%E5%9C%A8%E5%BA%95%E9%9D%A2ABC%E4%B8%8A%E7%9A%84%E5%B0%84%E5%BD%B1%E6%81%B0%E4%B8%BAAC%E7%9A%84%E4%B8%AD%E7%82%B9D%2C%E5%8F%88%E7%9F%A5BA1%E2%8A%A5AC1%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AAC1%E2%8A%A5%E5%B9%B3%E9%9D%A2A1BC%EF%BC%882%EF%BC%89%E6%B1%82%E7%82%B9C1%E5%88%B0%E5%B9%B3%E9%9D%A2A1AB%E7%9A%84%E8%B7%9D%E7%A6%BB%EF%BC%883%EF%BC%89%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92A-A1B-C%E4%BD%99%E5%BC%A6%E5%80%BC%E7%9A%84%E5%A4%A7%E5%B0%8F)
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