如图,在底面是正方形的四棱锥P-ABCD中,PA⊥面ABCD,BD交AC于点E,F是PC中点,G为AC上一点.(I)求证:BD⊥FG;(II)确定点G在线段AC上的位置,使FG//平面PBD,并说明理由.
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![如图,在底面是正方形的四棱锥P-ABCD中,PA⊥面ABCD,BD交AC于点E,F是PC中点,G为AC上一点.(I)求证:BD⊥FG;(II)确定点G在线段AC上的位置,使FG//平面PBD,并说明理由.](/uploads/image/z/7620824-56-4.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%BA%95%E9%9D%A2%E6%98%AF%E6%AD%A3%E6%96%B9%E5%BD%A2%E7%9A%84%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2CPA%E2%8A%A5%E9%9D%A2ABCD%2CBD%E4%BA%A4AC%E4%BA%8E%E7%82%B9E%2CF%E6%98%AFPC%E4%B8%AD%E7%82%B9%2CG%E4%B8%BAAC%E4%B8%8A%E4%B8%80%E7%82%B9.%EF%BC%88I%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ABD%E2%8A%A5FG%EF%BC%9B%EF%BC%88II%EF%BC%89%E7%A1%AE%E5%AE%9A%E7%82%B9G%E5%9C%A8%E7%BA%BF%E6%AE%B5AC%E4%B8%8A%E7%9A%84%E4%BD%8D%E7%BD%AE%2C%E4%BD%BFFG%2F%2F%E5%B9%B3%E9%9D%A2PBD%2C%E5%B9%B6%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
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