如题:已知正三棱锥P-ABC的高PO为h,点D为侧棱PC的中点,PO与BD所成角的余弦值为(√2)/3,则正三棱锥P-ABC的体积为?( )A .[(3√3)/8]*h³ B .[(2√3)/8]*h³ C .[√3)/8]*h³ D.[(3√3)/4]*h³PS:该
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![如题:已知正三棱锥P-ABC的高PO为h,点D为侧棱PC的中点,PO与BD所成角的余弦值为(√2)/3,则正三棱锥P-ABC的体积为?( )A .[(3√3)/8]*h³ B .[(2√3)/8]*h³ C .[√3)/8]*h³ D.[(3√3)/4]*h³PS:该](/uploads/image/z/5455560-48-0.jpg?t=%E5%A6%82%E9%A2%98%EF%BC%9A%E5%B7%B2%E7%9F%A5%E6%AD%A3%E4%B8%89%E6%A3%B1%E9%94%A5P-ABC%E7%9A%84%E9%AB%98PO%E4%B8%BAh%2C%E7%82%B9D%E4%B8%BA%E4%BE%A7%E6%A3%B1PC%E7%9A%84%E4%B8%AD%E7%82%B9%2CPO%E4%B8%8EBD%E6%89%80%E6%88%90%E8%A7%92%E7%9A%84%E4%BD%99%E5%BC%A6%E5%80%BC%E4%B8%BA%EF%BC%88%E2%88%9A2%EF%BC%89%2F3%2C%E5%88%99%E6%AD%A3%E4%B8%89%E6%A3%B1%E9%94%A5P-ABC%E7%9A%84%E4%BD%93%E7%A7%AF%E4%B8%BA%3F%EF%BC%88+%EF%BC%89A+.%5B%283%E2%88%9A3%29%2F8%5D%2Ah%26%23179%3B+B+.%5B%282%E2%88%9A3%29%2F8%5D%2Ah%26%23179%3B+C+.%5B%E2%88%9A3%29%2F8%5D%2Ah%26%23179%3B+D.%5B%283%E2%88%9A3%29%2F4%5D%2Ah%26%23179%3BPS%EF%BC%9A%E8%AF%A5)
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