一圆与直角三角形ABC的一边AC相切(角C为直角,AB为斜边),并与AB相交于E,与BC相交于F.点B在圆上.(BF为圆的一条弦).AC和BC的长度是整数且AC>BC.若AE=4,BE=21,求该圆的半径.
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![一圆与直角三角形ABC的一边AC相切(角C为直角,AB为斜边),并与AB相交于E,与BC相交于F.点B在圆上.(BF为圆的一条弦).AC和BC的长度是整数且AC>BC.若AE=4,BE=21,求该圆的半径.](/uploads/image/z/10364887-55-7.jpg?t=%E4%B8%80%E5%9C%86%E4%B8%8E%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E4%B8%80%E8%BE%B9AC%E7%9B%B8%E5%88%87%EF%BC%88%E8%A7%92C%E4%B8%BA%E7%9B%B4%E8%A7%92%2CAB%E4%B8%BA%E6%96%9C%E8%BE%B9%EF%BC%89%2C%E5%B9%B6%E4%B8%8EAB%E7%9B%B8%E4%BA%A4%E4%BA%8EE%2C%E4%B8%8EBC%E7%9B%B8%E4%BA%A4%E4%BA%8EF.%E7%82%B9B%E5%9C%A8%E5%9C%86%E4%B8%8A.%EF%BC%88BF%E4%B8%BA%E5%9C%86%E7%9A%84%E4%B8%80%E6%9D%A1%E5%BC%A6%EF%BC%89.AC%E5%92%8CBC%E7%9A%84%E9%95%BF%E5%BA%A6%E6%98%AF%E6%95%B4%E6%95%B0%E4%B8%94AC%3EBC.%E8%8B%A5AE%3D4%2CBE%3D21%2C%E6%B1%82%E8%AF%A5%E5%9C%86%E7%9A%84%E5%8D%8A%E5%BE%84.)
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