在底面是矩形的四棱锥P-ABCD中,PA⊥面ABCD,PA=AB=1,BC=2(1)求证:平面PDC⊥平面PAD(2)若E为PD的中点,求异面直线AE与PC所成角的余弦值(3)在BC上是否存在一点G,使得D到平面PAG的距离为1?若存在,求出BG,若
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![在底面是矩形的四棱锥P-ABCD中,PA⊥面ABCD,PA=AB=1,BC=2(1)求证:平面PDC⊥平面PAD(2)若E为PD的中点,求异面直线AE与PC所成角的余弦值(3)在BC上是否存在一点G,使得D到平面PAG的距离为1?若存在,求出BG,若](/uploads/image/z/10035916-52-6.jpg?t=%E5%9C%A8%E5%BA%95%E9%9D%A2%E6%98%AF%E7%9F%A9%E5%BD%A2%E7%9A%84%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2CPA%E2%8A%A5%E9%9D%A2ABCD%2CPA%3DAB%3D1%2CBC%3D2%281%29%E6%B1%82%E8%AF%81%EF%BC%9A%E5%B9%B3%E9%9D%A2PDC%E2%8A%A5%E5%B9%B3%E9%9D%A2PAD%282%29%E8%8B%A5E%E4%B8%BAPD%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E6%B1%82%E5%BC%82%E9%9D%A2%E7%9B%B4%E7%BA%BFAE%E4%B8%8EPC%E6%89%80%E6%88%90%E8%A7%92%E7%9A%84%E4%BD%99%E5%BC%A6%E5%80%BC%283%29%E5%9C%A8BC%E4%B8%8A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E4%B8%80%E7%82%B9G%2C%E4%BD%BF%E5%BE%97D%E5%88%B0%E5%B9%B3%E9%9D%A2PAG%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA1%3F%E8%8B%A5%E5%AD%98%E5%9C%A8%2C%E6%B1%82%E5%87%BABG%2C%E8%8B%A5)
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