如图,正方体ABCD-A1B1C1D1中,棱长为8,M、N、P分别是 A1B1、AD、BB1的中点;(1)画出过M、N、P三点的平面与平面ABCD,平面BB1C1C的交线;(2)设过M、N、P三点的平面与BC交于Q,求PQ的长.
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![如图,正方体ABCD-A1B1C1D1中,棱长为8,M、N、P分别是 A1B1、AD、BB1的中点;(1)画出过M、N、P三点的平面与平面ABCD,平面BB1C1C的交线;(2)设过M、N、P三点的平面与BC交于Q,求PQ的长.](/uploads/image/z/8432723-11-3.jpg?t=%E5%A6%82%E5%9B%BE%2C%E6%AD%A3%E6%96%B9%E4%BD%93ABCD%EF%BC%8DA1B1C1D1%E4%B8%AD%2C%E6%A3%B1%E9%95%BF%E4%B8%BA8%2CM%E3%80%81N%E3%80%81P%E5%88%86%E5%88%AB%E6%98%AF+A1B1%E3%80%81AD%E3%80%81BB1%E7%9A%84%E4%B8%AD%E7%82%B9%EF%BC%9B%EF%BC%881%EF%BC%89%E7%94%BB%E5%87%BA%E8%BF%87M%E3%80%81N%E3%80%81P%E4%B8%89%E7%82%B9%E7%9A%84%E5%B9%B3%E9%9D%A2%E4%B8%8E%E5%B9%B3%E9%9D%A2ABCD%2C%E5%B9%B3%E9%9D%A2BB1C1C%E7%9A%84%E4%BA%A4%E7%BA%BF%EF%BC%9B%EF%BC%882%EF%BC%89%E8%AE%BE%E8%BF%87M%E3%80%81N%E3%80%81P%E4%B8%89%E7%82%B9%E7%9A%84%E5%B9%B3%E9%9D%A2%E4%B8%8EBC%E4%BA%A4%E4%BA%8EQ%2C%E6%B1%82PQ%E7%9A%84%E9%95%BF%EF%BC%8E)
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