如图,在四棱锥P-ABCD中,底面ABCD是矩形,PA垂直于平面ABCD,AP=AB=2,BC=2根号2,E,F分别是AD,PC的中点.求证:BC垂直于平面PAB,PC垂直于平面BEF.
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![如图,在四棱锥P-ABCD中,底面ABCD是矩形,PA垂直于平面ABCD,AP=AB=2,BC=2根号2,E,F分别是AD,PC的中点.求证:BC垂直于平面PAB,PC垂直于平面BEF.](/uploads/image/z/10419654-30-4.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2C%E5%BA%95%E9%9D%A2ABCD%E6%98%AF%E7%9F%A9%E5%BD%A2%2CPA%E5%9E%82%E7%9B%B4%E4%BA%8E%E5%B9%B3%E9%9D%A2ABCD%2CAP%3DAB%3D2%2CBC%3D2%E6%A0%B9%E5%8F%B72%2CE%2CF%E5%88%86%E5%88%AB%E6%98%AFAD%2CPC%E7%9A%84%E4%B8%AD%E7%82%B9.%E6%B1%82%E8%AF%81%EF%BC%9ABC%E5%9E%82%E7%9B%B4%E4%BA%8E%E5%B9%B3%E9%9D%A2PAB%2CPC%E5%9E%82%E7%9B%B4%E4%BA%8E%E5%B9%B3%E9%9D%A2BEF.)
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