四棱锥P-ABCD的底面是正方形PA⊥底面ABC,PA=2,∠PDA=45°,点E.F分别为棱AB.PD的中点.(1)求证:AF‖平面PCF;(2)平面PCE⊥平面PCD;(3)求三棱锥C-BEP的体积
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![四棱锥P-ABCD的底面是正方形PA⊥底面ABC,PA=2,∠PDA=45°,点E.F分别为棱AB.PD的中点.(1)求证:AF‖平面PCF;(2)平面PCE⊥平面PCD;(3)求三棱锥C-BEP的体积](/uploads/image/z/2778840-0-0.jpg?t=%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%A2PA%E2%8A%A5%E5%BA%95%E9%9D%A2ABC%2CPA%3D2%2C%E2%88%A0PDA%3D45%C2%B0%2C%E7%82%B9E.F%E5%88%86%E5%88%AB%E4%B8%BA%E6%A3%B1AB.PD%E7%9A%84%E4%B8%AD%E7%82%B9.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AAF%E2%80%96%E5%B9%B3%E9%9D%A2PCF%3B%282%29%E5%B9%B3%E9%9D%A2PCE%E2%8A%A5%E5%B9%B3%E9%9D%A2PCD%EF%BC%9B%EF%BC%883%EF%BC%89%E6%B1%82%E4%B8%89%E6%A3%B1%E9%94%A5C-BEP%E7%9A%84%E4%BD%93%E7%A7%AF)
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