在四棱锥P-ABCD中,底面ABCD为平行四边形,∠ADC-45°,AD=AC=1,O为AC中点,PO⊥平面ABCD,PO=2,M为PD的中(1)求多面体ABCPM的体积;(2)求直线AM与平面ABCD所成角的正切值.
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![在四棱锥P-ABCD中,底面ABCD为平行四边形,∠ADC-45°,AD=AC=1,O为AC中点,PO⊥平面ABCD,PO=2,M为PD的中(1)求多面体ABCPM的体积;(2)求直线AM与平面ABCD所成角的正切值.](/uploads/image/z/8438457-57-7.jpg?t=%E5%9C%A8%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2C%E5%BA%95%E9%9D%A2ABCD%E4%B8%BA%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2%2C%E2%88%A0ADC-45%C2%B0%2CAD%3DAC%3D1%2CO%E4%B8%BAAC%E4%B8%AD%E7%82%B9%2CPO%E2%8A%A5%E5%B9%B3%E9%9D%A2ABCD%2CPO%3D2%2CM%E4%B8%BAPD%E7%9A%84%E4%B8%AD%EF%BC%881%EF%BC%89%E6%B1%82%E5%A4%9A%E9%9D%A2%E4%BD%93ABCPM%E7%9A%84%E4%BD%93%E7%A7%AF%EF%BC%9B%EF%BC%882%EF%BC%89%E6%B1%82%E7%9B%B4%E7%BA%BFAM%E4%B8%8E%E5%B9%B3%E9%9D%A2ABCD%E6%89%80%E6%88%90%E8%A7%92%E7%9A%84%E6%AD%A3%E5%88%87%E5%80%BC.)
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