在棱长为2的正方体ABCD-A 1 B 1 C 1 D 1 中,M、N分别是A 1 B 1 和B 1 B的中点. (1)求直线AM和CN所的大小; (2)若P为B 1 C 1 的中点,求证:B 1 D⊥平面PMN; (3)求点A到平面PMN的距离.
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