选择题:如图, 在四棱锥 P﹣ ABCD 中, 四边形 ABCD 为平行四边形, 以 BC 为直径的圆 O(O 为圆心) 过点 A, 且 AO=AC=AP=2, PA⊥

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如图, 在四棱锥 P﹣ ABCD 中, 四边形 ABCD 为平行四边形, 以 BC 为直径的圆 O(O 为圆心) 过点 A, 且 AO=AC=AP=2, PA⊥底面 ABCD, M为 PC 的中点.

(1) 证明: 平面 OAM⊥平面 PCD;

(2) 求二面角 O﹣ MD﹣ C 的余弦值.

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