如图所示,在矩形ABCD中,AB=4,AD=2,E是CD的中点,O为AE的中点,以AE为折痕将△ADE向上折起,使D到P点位置,且PC=PB,F是BP的中点.(Ⅰ)求证:CF∥面APE;(Ⅱ)求证:PO⊥面ABCE.求二面角E-AP-B的余弦值
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![如图所示,在矩形ABCD中,AB=4,AD=2,E是CD的中点,O为AE的中点,以AE为折痕将△ADE向上折起,使D到P点位置,且PC=PB,F是BP的中点.(Ⅰ)求证:CF∥面APE;(Ⅱ)求证:PO⊥面ABCE.求二面角E-AP-B的余弦值](/uploads/image/z/13197039-15-9.jpg?t=%E5%A6%82%E5%9B%BE%E6%89%80%E7%A4%BA%2C%E5%9C%A8%E7%9F%A9%E5%BD%A2ABCD%E4%B8%AD%2CAB%3D4%2CAD%3D2%2CE%E6%98%AFCD%E7%9A%84%E4%B8%AD%E7%82%B9%2CO%E4%B8%BAAE%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E4%BB%A5AE%E4%B8%BA%E6%8A%98%E7%97%95%E5%B0%86%E2%96%B3ADE%E5%90%91%E4%B8%8A%E6%8A%98%E8%B5%B7%2C%E4%BD%BFD%E5%88%B0P%E7%82%B9%E4%BD%8D%E7%BD%AE%2C%E4%B8%94PC%3DPB%2CF%E6%98%AFBP%E7%9A%84%E4%B8%AD%E7%82%B9%EF%BC%8E%EF%BC%88%E2%85%A0%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ACF%E2%88%A5%E9%9D%A2APE%EF%BC%9B%EF%BC%88%E2%85%A1%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9APO%E2%8A%A5%E9%9D%A2ABCE.%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92E-AP-B%E7%9A%84%E4%BD%99%E5%BC%A6%E5%80%BC)
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