如图,在棱长为2的正方体ABCD-A 1 B 1 C 1 D 1 中,E为AB的中点. (1)证明:平面EB 1 D⊥平面B 1 CD; (2)求二面角B 1 -CD-E的大小; (3)求点E到平面B 1 CD的距离.
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