超级难的立体几何题……(2005重庆卷,10)在体积为1的三棱锥A-BCD侧棱AB,AC,AD上分别取点E,F,G,使AE:EB=AF:FC=AG:GD=2:1,记O为三平面BCG,CDE,DBF的交点,则三棱锥O-BCD的体积等于
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![超级难的立体几何题……(2005重庆卷,10)在体积为1的三棱锥A-BCD侧棱AB,AC,AD上分别取点E,F,G,使AE:EB=AF:FC=AG:GD=2:1,记O为三平面BCG,CDE,DBF的交点,则三棱锥O-BCD的体积等于](/uploads/image/z/14275152-0-2.jpg?t=%E8%B6%85%E7%BA%A7%E9%9A%BE%E7%9A%84%E7%AB%8B%E4%BD%93%E5%87%A0%E4%BD%95%E9%A2%98%E2%80%A6%E2%80%A6%EF%BC%882005%E9%87%8D%E5%BA%86%E5%8D%B7%2C10%EF%BC%89%E5%9C%A8%E4%BD%93%E7%A7%AF%E4%B8%BA1%E7%9A%84%E4%B8%89%E6%A3%B1%E9%94%A5A-BCD%E4%BE%A7%E6%A3%B1AB%2CAC%2CAD%E4%B8%8A%E5%88%86%E5%88%AB%E5%8F%96%E7%82%B9E%2CF%2CG%2C%E4%BD%BFAE%3AEB%3DAF%3AFC%3DAG%3AGD%3D2%3A1%2C%E8%AE%B0O%E4%B8%BA%E4%B8%89%E5%B9%B3%E9%9D%A2BCG%2CCDE%2CDBF%E7%9A%84%E4%BA%A4%E7%82%B9%2C%E5%88%99%E4%B8%89%E6%A3%B1%E9%94%A5O-BCD%E7%9A%84%E4%BD%93%E7%A7%AF%E7%AD%89%E4%BA%8E)
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