已知四棱锥P-ABCD它的底面是边长为a的菱形,∠ABC=120°,pc垂直于底面ABCD,又PC=a,E为PA的中点.(1)证面EBD垂直于面ABCD(2)求点E到平面PBC的距离(3)求二面角A-BE-D的正切值.
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![已知四棱锥P-ABCD它的底面是边长为a的菱形,∠ABC=120°,pc垂直于底面ABCD,又PC=a,E为PA的中点.(1)证面EBD垂直于面ABCD(2)求点E到平面PBC的距离(3)求二面角A-BE-D的正切值.](/uploads/image/z/2714349-21-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E5%AE%83%E7%9A%84%E5%BA%95%E9%9D%A2%E6%98%AF%E8%BE%B9%E9%95%BF%E4%B8%BAa%E7%9A%84%E8%8F%B1%E5%BD%A2%2C%E2%88%A0ABC%3D120%C2%B0%2Cpc%E5%9E%82%E7%9B%B4%E4%BA%8E%E5%BA%95%E9%9D%A2ABCD%2C%E5%8F%88PC%3Da%2CE%E4%B8%BAPA%E7%9A%84%E4%B8%AD%E7%82%B9.%EF%BC%881%EF%BC%89%E8%AF%81%E9%9D%A2EBD%E5%9E%82%E7%9B%B4%E4%BA%8E%E9%9D%A2ABCD%EF%BC%882%EF%BC%89%E6%B1%82%E7%82%B9E%E5%88%B0%E5%B9%B3%E9%9D%A2PBC%E7%9A%84%E8%B7%9D%E7%A6%BB%283%29%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92A-BE-D%E7%9A%84%E6%AD%A3%E5%88%87%E5%80%BC.)
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