正方体ABCD-A1B1C1D1中,M是C1D1的中点,AB=a.(1)求证AC1垂直面A1BD (2)求BM与面A1BD所成角的正切值

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正方体ABCD-A1B1C1D1中,M是C1D1的中点,AB=a.(1)求证AC1垂直面A1BD (2)求BM与面A1BD所成角的正切值
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正方体ABCD-A1B1C1D1中,M是C1D1的中点,AB=a.(1)求证AC1垂直面A1BD (2)求BM与面A1BD所成角的正切值
正方体ABCD-A1B1C1D1中,M是C1D1的中点,AB=a.(1)求证AC1垂直面A1BD (2)求BM与面A1BD所成角的正切值

正方体ABCD-A1B1C1D1中,M是C1D1的中点,AB=a.(1)求证AC1垂直面A1BD (2)求BM与面A1BD所成角的正切值
BM与面A1BD所成角的正切值=√2/2