空间四边形ABCD中,点M,N,P,Q分别在AB,BC,CD,DA上满足AM/MB=CN/NB=CP/PD=AQ/QD=k①求证:M,N,P,Q四点共面②当对角线AC=6BD=3,且MNPQ为正方形时,求AC与BD所成角的大小及k的值
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![空间四边形ABCD中,点M,N,P,Q分别在AB,BC,CD,DA上满足AM/MB=CN/NB=CP/PD=AQ/QD=k①求证:M,N,P,Q四点共面②当对角线AC=6BD=3,且MNPQ为正方形时,求AC与BD所成角的大小及k的值](/uploads/image/z/5634716-68-6.jpg?t=%E7%A9%BA%E9%97%B4%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E4%B8%AD%2C%E7%82%B9M%2CN%2CP%2CQ%E5%88%86%E5%88%AB%E5%9C%A8AB%2CBC%2CCD%2CDA%E4%B8%8A%E6%BB%A1%E8%B6%B3AM%2FMB%3DCN%2FNB%3DCP%2FPD%3DAQ%2FQD%3Dk%E2%91%A0%E6%B1%82%E8%AF%81%3AM%2CN%2CP%2CQ%E5%9B%9B%E7%82%B9%E5%85%B1%E9%9D%A2%E2%91%A1%E5%BD%93%E5%AF%B9%E8%A7%92%E7%BA%BFAC%3D6BD%3D3%2C%E4%B8%94MNPQ%E4%B8%BA%E6%AD%A3%E6%96%B9%E5%BD%A2%E6%97%B6%2C%E6%B1%82AC%E4%B8%8EBD%E6%89%80%E6%88%90%E8%A7%92%E7%9A%84%E5%A4%A7%E5%B0%8F%E5%8F%8Ak%E7%9A%84%E5%80%BC)
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