如图所示,三棱锥P-ABC中,PA⊥平面ABC,∠BAC=60°,PA=AB=AC=2,E是PC的中点.(1)求异面直线AE和PB所成角的余弦值(2)求三棱锥A-EBC的体积.取BC的中点F,连接EF、AF,则EF∥PB,所以∠AEF或其补角就是异面
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![如图所示,三棱锥P-ABC中,PA⊥平面ABC,∠BAC=60°,PA=AB=AC=2,E是PC的中点.(1)求异面直线AE和PB所成角的余弦值(2)求三棱锥A-EBC的体积.取BC的中点F,连接EF、AF,则EF∥PB,所以∠AEF或其补角就是异面](/uploads/image/z/10786156-52-6.jpg?t=%E5%A6%82%E5%9B%BE%E6%89%80%E7%A4%BA%2C%E4%B8%89%E6%A3%B1%E9%94%A5P-ABC%E4%B8%AD%2CPA%E2%8A%A5%E5%B9%B3%E9%9D%A2ABC%2C%E2%88%A0BAC%3D60%C2%B0%2CPA%3DAB%3DAC%3D2%2CE%E6%98%AFPC%E7%9A%84%E4%B8%AD%E7%82%B9%EF%BC%8E%EF%BC%881%EF%BC%89%E6%B1%82%E5%BC%82%E9%9D%A2%E7%9B%B4%E7%BA%BFAE%E5%92%8CPB%E6%89%80%E6%88%90%E8%A7%92%E7%9A%84%E4%BD%99%E5%BC%A6%E5%80%BC%EF%BC%882%EF%BC%89%E6%B1%82%E4%B8%89%E6%A3%B1%E9%94%A5A-EBC%E7%9A%84%E4%BD%93%E7%A7%AF%EF%BC%8E%E5%8F%96BC%E7%9A%84%E4%B8%AD%E7%82%B9F%2C%E8%BF%9E%E6%8E%A5EF%E3%80%81AF%2C%E5%88%99EF%E2%88%A5PB%2C%E6%89%80%E4%BB%A5%E2%88%A0AEF%E6%88%96%E5%85%B6%E8%A1%A5%E8%A7%92%E5%B0%B1%E6%98%AF%E5%BC%82%E9%9D%A2)
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