选择题:如图所示, 平面 PAB⊥平面 ABCD, 底面 ABCD 是边长为 8 的正方形, ∠APB=90° , 点 E, F分别是 DC, AP 的中点.(1) 证

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题目内容:

如图所示, 平面 PAB⊥平面 ABCD, 底面 ABCD 是边长为 8 的正方形, ∠APB=90° , 点 E, F分别是 DC, AP 的中点.

(1) 证明: DF∥平面 PBE;

(2) 若 AB=2PA, 求直线 BE 与平面 BDF所成角的正弦值.

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