已知四棱锥p-ABCD,底面ABCD为菱形,PA垂直平面ABCD,角ABC=60°,E.F分别是BC.PC的中点.(1)若H为PD上的动点,EH与平面PAD所成最大角的正切值为2分之根号6,求二面角E-AF-C的余弦值?
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![已知四棱锥p-ABCD,底面ABCD为菱形,PA垂直平面ABCD,角ABC=60°,E.F分别是BC.PC的中点.(1)若H为PD上的动点,EH与平面PAD所成最大角的正切值为2分之根号6,求二面角E-AF-C的余弦值?](/uploads/image/z/5937711-15-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9B%9B%E6%A3%B1%E9%94%A5p-ABCD%2C%E5%BA%95%E9%9D%A2ABCD%E4%B8%BA%E8%8F%B1%E5%BD%A2%2CPA%E5%9E%82%E7%9B%B4%E5%B9%B3%E9%9D%A2ABCD%2C%E8%A7%92ABC%3D60%C2%B0%2CE.F%E5%88%86%E5%88%AB%E6%98%AFBC.PC%E7%9A%84%E4%B8%AD%E7%82%B9.%EF%BC%881%EF%BC%89%E8%8B%A5H%E4%B8%BAPD%E4%B8%8A%E7%9A%84%E5%8A%A8%E7%82%B9%2CEH%E4%B8%8E%E5%B9%B3%E9%9D%A2PAD%E6%89%80%E6%88%90%E6%9C%80%E5%A4%A7%E8%A7%92%E7%9A%84%E6%AD%A3%E5%88%87%E5%80%BC%E4%B8%BA2%E5%88%86%E4%B9%8B%E6%A0%B9%E5%8F%B76%2C%E6%B1%82%E4%BA%8C%E9%9D%A2%E8%A7%92E-AF-C%E7%9A%84%E4%BD%99%E5%BC%A6%E5%80%BC%3F)
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