如图,平行四边形ABCD中,CD=1,∠BCD=60°,且BD⊥CD,正方形ADEF与面ABCD垂直,G、H分别是DF、BE的中点(1)求证:BD⊥平面CDE(2)求证:GH∥平面CDE(3)求三棱锥C-ADG的体积
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![如图,平行四边形ABCD中,CD=1,∠BCD=60°,且BD⊥CD,正方形ADEF与面ABCD垂直,G、H分别是DF、BE的中点(1)求证:BD⊥平面CDE(2)求证:GH∥平面CDE(3)求三棱锥C-ADG的体积](/uploads/image/z/6136451-35-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E4%B8%AD%2CCD%3D1%2C%E2%88%A0BCD%3D60%C2%B0%2C%E4%B8%94BD%E2%8A%A5CD%2C%E6%AD%A3%E6%96%B9%E5%BD%A2ADEF%E4%B8%8E%E9%9D%A2ABCD%E5%9E%82%E7%9B%B4%2CG%E3%80%81H%E5%88%86%E5%88%AB%E6%98%AFDF%E3%80%81BE%E7%9A%84%E4%B8%AD%E7%82%B9%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ABD%E2%8A%A5%E5%B9%B3%E9%9D%A2CDE%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AGH%E2%88%A5%E5%B9%B3%E9%9D%A2CDE%EF%BC%883%EF%BC%89%E6%B1%82%E4%B8%89%E6%A3%B1%E9%94%A5C-ADG%E7%9A%84%E4%BD%93%E7%A7%AF)
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