如图在四棱锥P-ABCD中,底面ABCD是菱形,∠BAD=60°,AB=2,PA=1,PA⊥平面ABCD,E是PC的中点,F是AB的中点. (1)求证:BE∥平面PDF; (2)求证:平面PDF⊥平面PAB; (3)求二面角P-BC-A的大小.
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![如图在四棱锥P-ABCD中,底面ABCD是菱形,∠BAD=60°,AB=2,PA=1,PA⊥平面ABCD,E是PC的中点,F是AB的中点. (1)求证:BE∥平面PDF; (2)求证:平面PDF⊥平面PAB; (3)求二面角P-BC-A的大小.](/uploads/image/z/13791448-64-8.jpg?t=%E5%A6%82%E5%9B%BE%E5%9C%A8%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2C%E5%BA%95%E9%9D%A2ABCD%E6%98%AF%E8%8F%B1%E5%BD%A2%2C%E2%88%A0BAD%3D60%C2%B0%2CAB%3D2%2CPA%3D1%2CPA%E2%8A%A5%E5%B9%B3%E9%9D%A2ABCD%2CE%E6%98%AFPC%E7%9A%84%E4%B8%AD%E7%82%B9%2CF%E6%98%AFAB%E7%9A%84%E4%B8%AD%E7%82%B9%EF%BC%8E+%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ABE%E2%88%A5%E5%B9%B3%E9%9D%A2PDF%EF%BC%9B+%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E5%B9%B3%E9%9D%A2PDF%E2%8A%A5%E5%B9%B3%E9%9D%A2PAB%EF%BC%9B+%EF%BC%883%EF%BC%89%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92P-BC-A%E7%9A%84%E5%A4%A7%E5%B0%8F%EF%BC%8E)
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