如图,△ABC为正三角形,EC⊥平面ABC,BD⊥平面ABC,且CE=CA=2BD=2a,M为EA的中点(1)求证DM⊥平面ECA(2)求点C到平面ADE的距离
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![如图,△ABC为正三角形,EC⊥平面ABC,BD⊥平面ABC,且CE=CA=2BD=2a,M为EA的中点(1)求证DM⊥平面ECA(2)求点C到平面ADE的距离](/uploads/image/z/5203135-55-5.jpg?t=%E5%A6%82%E5%9B%BE%2C%E2%96%B3ABC%E4%B8%BA%E6%AD%A3%E4%B8%89%E8%A7%92%E5%BD%A2%2CEC%E2%8A%A5%E5%B9%B3%E9%9D%A2ABC%2CBD%E2%8A%A5%E5%B9%B3%E9%9D%A2ABC%2C%E4%B8%94CE%3DCA%3D2BD%3D2a%2CM%E4%B8%BAEA%E7%9A%84%E4%B8%AD%E7%82%B9%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81DM%E2%8A%A5%E5%B9%B3%E9%9D%A2ECA%282%29%E6%B1%82%E7%82%B9C%E5%88%B0%E5%B9%B3%E9%9D%A2ADE%E7%9A%84%E8%B7%9D%E7%A6%BB)
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