四棱锥P-ABCD中,底面ABCD是菱形,PA⊥底面ABCD,AC=2根号2,PA=2,E是PC上一点,PE=2EC,如图,四棱锥P-ABCD中,底面ABCD为菱形,PA⊥底面ABCD,AC=2倍根号2 ,PA=2,E是PC上的一点,PE=2EC.(Ⅰ)证明:PC⊥平面BED;(Ⅱ)
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![四棱锥P-ABCD中,底面ABCD是菱形,PA⊥底面ABCD,AC=2根号2,PA=2,E是PC上一点,PE=2EC,如图,四棱锥P-ABCD中,底面ABCD为菱形,PA⊥底面ABCD,AC=2倍根号2 ,PA=2,E是PC上的一点,PE=2EC.(Ⅰ)证明:PC⊥平面BED;(Ⅱ)](/uploads/image/z/5472213-69-3.jpg?t=%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2C%E5%BA%95%E9%9D%A2ABCD%E6%98%AF%E8%8F%B1%E5%BD%A2%2CPA%E2%8A%A5%E5%BA%95%E9%9D%A2ABCD%2CAC%3D2%E6%A0%B9%E5%8F%B72%2CPA%3D2%2CE%E6%98%AFPC%E4%B8%8A%E4%B8%80%E7%82%B9%2CPE%3D2EC%2C%E5%A6%82%E5%9B%BE%2C%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2C%E5%BA%95%E9%9D%A2ABCD%E4%B8%BA%E8%8F%B1%E5%BD%A2%2CPA%E2%8A%A5%E5%BA%95%E9%9D%A2ABCD%2CAC%3D2%E5%80%8D%E6%A0%B9%E5%8F%B72+%2CPA%3D2%2CE%E6%98%AFPC%E4%B8%8A%E7%9A%84%E4%B8%80%E7%82%B9%2CPE%3D2EC%EF%BC%8E%EF%BC%88%E2%85%A0%EF%BC%89%E8%AF%81%E6%98%8E%EF%BC%9APC%E2%8A%A5%E5%B9%B3%E9%9D%A2BED%EF%BC%9B%EF%BC%88%E2%85%A1%EF%BC%89)
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