如图,在四棱锥P-ABCD中,底面为直角梯形,AB∥DC,∠ABC=90°,且PA=PB=PC=AB=6,CD=2,BC=2√3,E为PA中点.⑴求证:BD⊥PA⑵求直线PC与平面BDE所成角的正弦值
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![如图,在四棱锥P-ABCD中,底面为直角梯形,AB∥DC,∠ABC=90°,且PA=PB=PC=AB=6,CD=2,BC=2√3,E为PA中点.⑴求证:BD⊥PA⑵求直线PC与平面BDE所成角的正弦值](/uploads/image/z/2792711-47-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%9B%9B%E6%A3%B1%E9%94%A5P-ABCD%E4%B8%AD%2C%E5%BA%95%E9%9D%A2%E4%B8%BA%E7%9B%B4%E8%A7%92%E6%A2%AF%E5%BD%A2%2CAB%E2%88%A5DC%2C%E2%88%A0ABC%3D90%C2%B0%2C%E4%B8%94PA%3DPB%3DPC%3DAB%3D6%2CCD%3D2%2CBC%3D2%E2%88%9A3%2CE%E4%B8%BAPA%E4%B8%AD%E7%82%B9.%E2%91%B4%E6%B1%82%E8%AF%81%EF%BC%9ABD%E2%8A%A5PA%E2%91%B5%E6%B1%82%E7%9B%B4%E7%BA%BFPC%E4%B8%8E%E5%B9%B3%E9%9D%A2BDE%E6%89%80%E6%88%90%E8%A7%92%E7%9A%84%E6%AD%A3%E5%BC%A6%E5%80%BC)
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