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如图所示,在长方体ABCD-A1B1C1D1中,AB=1,BC=2,CC1=5,M为棱CC...
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如图所示,在长方体ABCD-A
1B
1C
1D
1中,AB=1,BC=2,CC
1=5,M为棱CC
1上一点.
(1)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAAjCAYAAADBl8lGAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
,求异面直线A
1M和C
1D
1所成角的正切值;
(2)若C
1M=1,试证明:BM⊥平面A
1B
1M.
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