如图甲,在直角梯形ABCD中,角ABC=角DAB=90°,角CAB=30°,BC=1,AD=CD,把△DAC沿对角线AC折起后如图乙所示(点D记为P),点P在平面ABC上的正投影E落在线段AB上,连接PB,(1)求直线PC与平面PAB所成的角的大小
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![如图甲,在直角梯形ABCD中,角ABC=角DAB=90°,角CAB=30°,BC=1,AD=CD,把△DAC沿对角线AC折起后如图乙所示(点D记为P),点P在平面ABC上的正投影E落在线段AB上,连接PB,(1)求直线PC与平面PAB所成的角的大小](/uploads/image/z/6934292-44-2.jpg?t=%E5%A6%82%E5%9B%BE%E7%94%B2%2C%E5%9C%A8%E7%9B%B4%E8%A7%92%E6%A2%AF%E5%BD%A2ABCD%E4%B8%AD%2C%E8%A7%92ABC%3D%E8%A7%92DAB%3D90%C2%B0%2C%E8%A7%92CAB%3D30%C2%B0%2CBC%3D1%2CAD%3DCD%2C%E6%8A%8A%E2%96%B3DAC%E6%B2%BF%E5%AF%B9%E8%A7%92%E7%BA%BFAC%E6%8A%98%E8%B5%B7%E5%90%8E%E5%A6%82%E5%9B%BE%E4%B9%99%E6%89%80%E7%A4%BA%EF%BC%88%E7%82%B9D%E8%AE%B0%E4%B8%BAP%EF%BC%89%2C%E7%82%B9P%E5%9C%A8%E5%B9%B3%E9%9D%A2ABC%E4%B8%8A%E7%9A%84%E6%AD%A3%E6%8A%95%E5%BD%B1E%E8%90%BD%E5%9C%A8%E7%BA%BF%E6%AE%B5AB%E4%B8%8A%2C%E8%BF%9E%E6%8E%A5PB%2C%EF%BC%881%EF%BC%89%E6%B1%82%E7%9B%B4%E7%BA%BFPC%E4%B8%8E%E5%B9%B3%E9%9D%A2PAB%E6%89%80%E6%88%90%E7%9A%84%E8%A7%92%E7%9A%84%E5%A4%A7%E5%B0%8F)
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