圆几何题一道如图,已知圆O1(半径长R)与圆O2(半径长r)相切于点A,过圆外一点P分别作圆O1与圆O2的切线PB、PC,连接PA交圆O2于E,交圆O1于D.已知:PB:PC=R:r.求证:三角形PAB相似于三角形PEC在线
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![圆几何题一道如图,已知圆O1(半径长R)与圆O2(半径长r)相切于点A,过圆外一点P分别作圆O1与圆O2的切线PB、PC,连接PA交圆O2于E,交圆O1于D.已知:PB:PC=R:r.求证:三角形PAB相似于三角形PEC在线](/uploads/image/z/5453688-48-8.jpg?t=%E5%9C%86%E5%87%A0%E4%BD%95%E9%A2%98%E4%B8%80%E9%81%93%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E5%9C%86O1%EF%BC%88%E5%8D%8A%E5%BE%84%E9%95%BFR%EF%BC%89%E4%B8%8E%E5%9C%86O2%EF%BC%88%E5%8D%8A%E5%BE%84%E9%95%BFr%EF%BC%89%E7%9B%B8%E5%88%87%E4%BA%8E%E7%82%B9A%2C%E8%BF%87%E5%9C%86%E5%A4%96%E4%B8%80%E7%82%B9P%E5%88%86%E5%88%AB%E4%BD%9C%E5%9C%86O1%E4%B8%8E%E5%9C%86O2%E7%9A%84%E5%88%87%E7%BA%BFPB%E3%80%81PC%2C%E8%BF%9E%E6%8E%A5PA%E4%BA%A4%E5%9C%86O2%E4%BA%8EE%2C%E4%BA%A4%E5%9C%86O1%E4%BA%8ED.%E5%B7%B2%E7%9F%A5%EF%BC%9APB%EF%BC%9APC%3DR%EF%BC%9Ar.%E6%B1%82%E8%AF%81%EF%BC%9A%E4%B8%89%E8%A7%92%E5%BD%A2PAB%E7%9B%B8%E4%BC%BC%E4%BA%8E%E4%B8%89%E8%A7%92%E5%BD%A2PEC%E5%9C%A8%E7%BA%BF)
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