急,一条空间几何数学题在死棱锥P-ABCD,底面ABCD是边长为a的正方形,侧面PAD⊥底面ABCD且PA=PD=√2/2AD,若E,F分别为PC,BD的中点(1)证明EF‖面PAD (2)求证:面PDC⊥面PAD(3)求二面角B-PD-C的正切值
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![急,一条空间几何数学题在死棱锥P-ABCD,底面ABCD是边长为a的正方形,侧面PAD⊥底面ABCD且PA=PD=√2/2AD,若E,F分别为PC,BD的中点(1)证明EF‖面PAD (2)求证:面PDC⊥面PAD(3)求二面角B-PD-C的正切值](/uploads/image/z/2835031-31-1.jpg?t=%E6%80%A5%2C%E4%B8%80%E6%9D%A1%E7%A9%BA%E9%97%B4%E5%87%A0%E4%BD%95%E6%95%B0%E5%AD%A6%E9%A2%98%E5%9C%A8%E6%AD%BB%E6%A3%B1%E9%94%A5P-ABCD%2C%E5%BA%95%E9%9D%A2ABCD%E6%98%AF%E8%BE%B9%E9%95%BF%E4%B8%BAa%E7%9A%84%E6%AD%A3%E6%96%B9%E5%BD%A2%2C%E4%BE%A7%E9%9D%A2PAD%E2%8A%A5%E5%BA%95%E9%9D%A2ABCD%E4%B8%94PA%3DPD%3D%E2%88%9A2%2F2AD%2C%E8%8B%A5E%2CF%E5%88%86%E5%88%AB%E4%B8%BAPC%2CBD%E7%9A%84%E4%B8%AD%E7%82%B9%281%29%E8%AF%81%E6%98%8EEF%E2%80%96%E9%9D%A2PAD+%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E9%9D%A2PDC%E2%8A%A5%E9%9D%A2PAD%EF%BC%883%EF%BC%89%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92B-PD-C%E7%9A%84%E6%AD%A3%E5%88%87%E5%80%BC)
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