如图,平面PCBM⊥平面ABC,∠PCB=90°,PM∥BC,已知AC=PC=PM=1,BC=2,∠ACB=90°. (1)求证:AC⊥BM;(2)求证:平面ABM⊥平面ACM;(3)求二面角M-AC-B的大小.
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![如图,平面PCBM⊥平面ABC,∠PCB=90°,PM∥BC,已知AC=PC=PM=1,BC=2,∠ACB=90°. (1)求证:AC⊥BM;(2)求证:平面ABM⊥平面ACM;(3)求二面角M-AC-B的大小.](/uploads/image/z/9898176-48-6.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B9%B3%E9%9D%A2PCBM%E2%8A%A5%E5%B9%B3%E9%9D%A2ABC%2C%E2%88%A0PCB%3D90%C2%B0%2CPM%E2%88%A5BC%2C%E5%B7%B2%E7%9F%A5AC%3DPC%3DPM%3D1%2CBC%3D2%2C%E2%88%A0ACB%3D90%C2%B0%EF%BC%8E+%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AAC%E2%8A%A5BM%EF%BC%9B%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E5%B9%B3%E9%9D%A2ABM%E2%8A%A5%E5%B9%B3%E9%9D%A2ACM%EF%BC%9B%EF%BC%883%EF%BC%89%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92M-AC-B%E7%9A%84%E5%A4%A7%E5%B0%8F%EF%BC%8E)
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