矩形ABCD中,AB=3,BC=4(如图),沿对角线BD把△ABD折起,使点A在平面BCD上的射影E落在BC上.(1)求证:平面ACD⊥平面ABC.(2)求三棱锥A-BCD的体积.
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![矩形ABCD中,AB=3,BC=4(如图),沿对角线BD把△ABD折起,使点A在平面BCD上的射影E落在BC上.(1)求证:平面ACD⊥平面ABC.(2)求三棱锥A-BCD的体积.](/uploads/image/z/5223793-49-3.jpg?t=%E7%9F%A9%E5%BD%A2ABCD%E4%B8%AD%2CAB%3D3%2CBC%3D4%28%E5%A6%82%E5%9B%BE%29%2C%E6%B2%BF%E5%AF%B9%E8%A7%92%E7%BA%BFBD%E6%8A%8A%E2%96%B3ABD%E6%8A%98%E8%B5%B7%2C%E4%BD%BF%E7%82%B9A%E5%9C%A8%E5%B9%B3%E9%9D%A2BCD%E4%B8%8A%E7%9A%84%E5%B0%84%E5%BD%B1E%E8%90%BD%E5%9C%A8BC%E4%B8%8A.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E5%B9%B3%E9%9D%A2ACD%E2%8A%A5%E5%B9%B3%E9%9D%A2ABC.%EF%BC%882%EF%BC%89%E6%B1%82%E4%B8%89%E6%A3%B1%E9%94%A5A-BCD%E7%9A%84%E4%BD%93%E7%A7%AF.)
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