如图,四棱锥P-ABCD底面为一直角梯形.BA⊥AD,CD⊥AD.CD=2AB,PA⊥底面ABCD,E为PC的中点.(1)证明:EB//面PAD;(2)若PA=AD,证明:BE⊥面PDC.
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![如图,四棱锥P-ABCD底面为一直角梯形.BA⊥AD,CD⊥AD.CD=2AB,PA⊥底面ABCD,E为PC的中点.(1)证明:EB//面PAD;(2)若PA=AD,证明:BE⊥面PDC.](/uploads/image/z/8411884-52-4.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E5%BA%95%E9%9D%A2%E4%B8%BA%E4%B8%80%E7%9B%B4%E8%A7%92%E6%A2%AF%E5%BD%A2.BA%E2%8A%A5AD%2CCD%E2%8A%A5AD.CD%3D2AB%2CPA%E2%8A%A5%E5%BA%95%E9%9D%A2ABCD%2CE%E4%B8%BAPC%E7%9A%84%E4%B8%AD%E7%82%B9.%EF%BC%881%EF%BC%89%E8%AF%81%E6%98%8E%EF%BC%9AEB%2F%2F%E9%9D%A2PAD%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5PA%3DAD%2C%E8%AF%81%E6%98%8E%EF%BC%9ABE%E2%8A%A5%E9%9D%A2PDC.)
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