垂直关系1.在四棱锥P-ABCD中,底面ABCD是矩形,侧棱PA垂直于底面,E,F分别是AB,CD的中点(1)求证:CD⊥PD(2)若PA=PD,求证:EF⊥平面PCD2.正四棱柱ABCD-A1B1C1D1中,AA1=4,AB=2,点E在CC1上且C1E=3EC,求证:A1C⊥平面BED第1
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![垂直关系1.在四棱锥P-ABCD中,底面ABCD是矩形,侧棱PA垂直于底面,E,F分别是AB,CD的中点(1)求证:CD⊥PD(2)若PA=PD,求证:EF⊥平面PCD2.正四棱柱ABCD-A1B1C1D1中,AA1=4,AB=2,点E在CC1上且C1E=3EC,求证:A1C⊥平面BED第1](/uploads/image/z/10931442-42-2.jpg?t=%E5%9E%82%E7%9B%B4%E5%85%B3%E7%B3%BB1.%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%E7%9F%A9%E5%BD%A2%2C%E4%BE%A7%E6%A3%B1PA%E5%9E%82%E7%9B%B4%E4%BA%8E%E5%BA%95%E9%9D%A2%2CE%2CF%E5%88%86%E5%88%AB%E6%98%AFAB%2CCD%E7%9A%84%E4%B8%AD%E7%82%B9%281%29%E6%B1%82%E8%AF%81%3ACD%E2%8A%A5PD%282%29%E8%8B%A5PA%3DPD%2C%E6%B1%82%E8%AF%81%3AEF%E2%8A%A5%E5%B9%B3%E9%9D%A2PCD2.%E6%AD%A3%E5%9B%9B%E6%A3%B1%E6%9F%B1ABCD-A1B1C1D1%E4%B8%AD%2CAA1%3D4%2CAB%3D2%2C%E7%82%B9E%E5%9C%A8CC1%E4%B8%8A%E4%B8%94C1E%3D3EC%2C%E6%B1%82%E8%AF%81%3AA1C%E2%8A%A5%E5%B9%B3%E9%9D%A2BED%E7%AC%AC1)
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