如图,在矩形ABCD中,AB=4,AD=10,直角尺的直角顶点P在AD上滑动时(点P与A,D不重合),一直角边经过点C,(1)证明两个直角三角形相似(2)当∠CPD=30°时,求AE的长;
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![如图,在矩形ABCD中,AB=4,AD=10,直角尺的直角顶点P在AD上滑动时(点P与A,D不重合),一直角边经过点C,(1)证明两个直角三角形相似(2)当∠CPD=30°时,求AE的长;](/uploads/image/z/7854542-62-2.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E7%9F%A9%E5%BD%A2ABCD%E4%B8%AD%2CAB%3D4%2CAD%3D10%2C%E7%9B%B4%E8%A7%92%E5%B0%BA%E7%9A%84%E7%9B%B4%E8%A7%92%E9%A1%B6%E7%82%B9P%E5%9C%A8AD%E4%B8%8A%E6%BB%91%E5%8A%A8%E6%97%B6%EF%BC%88%E7%82%B9P%E4%B8%8EA%2CD%E4%B8%8D%E9%87%8D%E5%90%88%EF%BC%89%2C%E4%B8%80%E7%9B%B4%E8%A7%92%E8%BE%B9%E7%BB%8F%E8%BF%87%E7%82%B9C%2C%EF%BC%881%EF%BC%89%E8%AF%81%E6%98%8E%E4%B8%A4%E4%B8%AA%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%E7%9B%B8%E4%BC%BC%EF%BC%882%EF%BC%89%E5%BD%93%E2%88%A0CPD%3D30%C2%B0%E6%97%B6%2C%E6%B1%82AE%E7%9A%84%E9%95%BF%EF%BC%9B)
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