如图所示,△ABC内接于圆O,且∠ABC=∠C,点D在弧BC上运动.过点D作DE//BC,DE交直线AB于点E,连结BD1)求证角ADB=角E2)当点D运动到什么位置时,DE是圆O的切线?请说明理由3)当AB=5,BC=6时,求圆O的半径!图.
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![如图所示,△ABC内接于圆O,且∠ABC=∠C,点D在弧BC上运动.过点D作DE//BC,DE交直线AB于点E,连结BD1)求证角ADB=角E2)当点D运动到什么位置时,DE是圆O的切线?请说明理由3)当AB=5,BC=6时,求圆O的半径!图.](/uploads/image/z/1095048-0-8.jpg?t=%E5%A6%82%E5%9B%BE%E6%89%80%E7%A4%BA%2C%E2%96%B3ABC%E5%86%85%E6%8E%A5%E4%BA%8E%E5%9C%86O%2C%E4%B8%94%E2%88%A0ABC%EF%BC%9D%E2%88%A0C%2C%E7%82%B9D%E5%9C%A8%E5%BC%A7BC%E4%B8%8A%E8%BF%90%E5%8A%A8.%E8%BF%87%E7%82%B9D%E4%BD%9CDE%2F%2FBC%2CDE%E4%BA%A4%E7%9B%B4%E7%BA%BFAB%E4%BA%8E%E7%82%B9E%2C%E8%BF%9E%E7%BB%93BD1%EF%BC%89%E6%B1%82%E8%AF%81%E8%A7%92ADB%3D%E8%A7%92E2%EF%BC%89%E5%BD%93%E7%82%B9D%E8%BF%90%E5%8A%A8%E5%88%B0%E4%BB%80%E4%B9%88%E4%BD%8D%E7%BD%AE%E6%97%B6%2CDE%E6%98%AF%E5%9C%86O%E7%9A%84%E5%88%87%E7%BA%BF%3F%E8%AF%B7%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B13%EF%BC%89%E5%BD%93AB%3D5%2CBC%3D6%E6%97%B6%2C%E6%B1%82%E5%9C%86O%E7%9A%84%E5%8D%8A%E5%BE%84%21%E5%9B%BE.)
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