如图,重点是第三问,四棱锥P-ABCD的底面是正方形,PD⊥底面ABCD,点E在棱PB上.(1)求证:平面AEC⊥平面PDB(2)当PD=根号2AB且E为PB的中点时,求AE与平面PDB所成的角的大小(3)求异面直线AE和CD所成
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![如图,重点是第三问,四棱锥P-ABCD的底面是正方形,PD⊥底面ABCD,点E在棱PB上.(1)求证:平面AEC⊥平面PDB(2)当PD=根号2AB且E为PB的中点时,求AE与平面PDB所成的角的大小(3)求异面直线AE和CD所成](/uploads/image/z/5483504-56-4.jpg?t=%E5%A6%82%E5%9B%BE%2C%E9%87%8D%E7%82%B9%E6%98%AF%E7%AC%AC%E4%B8%89%E9%97%AE%2C%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E7%9A%84%E5%BA%95%E9%9D%A2%E6%98%AF%E6%AD%A3%E6%96%B9%E5%BD%A2%2CPD%E2%8A%A5%E5%BA%95%E9%9D%A2ABCD%2C%E7%82%B9E%E5%9C%A8%E6%A3%B1PB%E4%B8%8A.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E5%B9%B3%E9%9D%A2AEC%E2%8A%A5%E5%B9%B3%E9%9D%A2PDB%EF%BC%882%EF%BC%89%E5%BD%93PD%3D%E6%A0%B9%E5%8F%B72AB%E4%B8%94E%E4%B8%BAPB%E7%9A%84%E4%B8%AD%E7%82%B9%E6%97%B6%2C%E6%B1%82AE%E4%B8%8E%E5%B9%B3%E9%9D%A2PDB%E6%89%80%E6%88%90%E7%9A%84%E8%A7%92%E7%9A%84%E5%A4%A7%E5%B0%8F%EF%BC%883%EF%BC%89%E6%B1%82%E5%BC%82%E9%9D%A2%E7%9B%B4%E7%BA%BFAE%E5%92%8CCD%E6%89%80%E6%88%90)
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