如图,已知四棱锥P-ABCD的底面为等腰梯形,AB‖CD,AC⊥BD垂足为H,PH是四棱锥的高,E为AD中点.证明:PE垂直BC.若角APB=角ADB=60°,求直线PA与平面PEH所成角的正玄值.
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![如图,已知四棱锥P-ABCD的底面为等腰梯形,AB‖CD,AC⊥BD垂足为H,PH是四棱锥的高,E为AD中点.证明:PE垂直BC.若角APB=角ADB=60°,求直线PA与平面PEH所成角的正玄值.](/uploads/image/z/14155502-14-2.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E7%9A%84%E5%BA%95%E9%9D%A2%E4%B8%BA%E7%AD%89%E8%85%B0%E6%A2%AF%E5%BD%A2%2CAB%E2%80%96CD%2CAC%E2%8A%A5BD%E5%9E%82%E8%B6%B3%E4%B8%BAH%2CPH%E6%98%AF%E5%9B%9B%E6%A3%B1%E9%94%A5%E7%9A%84%E9%AB%98%2CE%E4%B8%BAAD%E4%B8%AD%E7%82%B9.%E8%AF%81%E6%98%8E%EF%BC%9APE%E5%9E%82%E7%9B%B4BC.%E8%8B%A5%E8%A7%92APB%3D%E8%A7%92ADB%3D60%C2%B0%2C%E6%B1%82%E7%9B%B4%E7%BA%BFPA%E4%B8%8E%E5%B9%B3%E9%9D%A2PEH%E6%89%80%E6%88%90%E8%A7%92%E7%9A%84%E6%AD%A3%E7%8E%84%E5%80%BC.)
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