如图,点C在以AB为直径的半圆O上,延长BC到点D,使得CD=BC,过点D作DE⊥AB于点E,交AC于点F,点G为DF的中点,连接CG、OF、FB (1)求证:CG是⊙O的切线;(2)若△AFB的面积是△DCG的面积的2倍,求证:OF∥
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![如图,点C在以AB为直径的半圆O上,延长BC到点D,使得CD=BC,过点D作DE⊥AB于点E,交AC于点F,点G为DF的中点,连接CG、OF、FB (1)求证:CG是⊙O的切线;(2)若△AFB的面积是△DCG的面积的2倍,求证:OF∥](/uploads/image/z/14761479-39-9.jpg?t=%E5%A6%82%E5%9B%BE%2C%E7%82%B9C%E5%9C%A8%E4%BB%A5AB%E4%B8%BA%E7%9B%B4%E5%BE%84%E7%9A%84%E5%8D%8A%E5%9C%86O%E4%B8%8A%2C%E5%BB%B6%E9%95%BFBC%E5%88%B0%E7%82%B9D%2C%E4%BD%BF%E5%BE%97CD%3DBC%2C%E8%BF%87%E7%82%B9D%E4%BD%9CDE%E2%8A%A5AB%E4%BA%8E%E7%82%B9E%2C%E4%BA%A4AC%E4%BA%8E%E7%82%B9F%2C%E7%82%B9G%E4%B8%BADF%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E8%BF%9E%E6%8E%A5CG%E3%80%81OF%E3%80%81FB+++%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ACG%E6%98%AF%E2%8A%99O%E7%9A%84%E5%88%87%E7%BA%BF%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5%E2%96%B3AFB%E7%9A%84%E9%9D%A2%E7%A7%AF%E6%98%AF%E2%96%B3DCG%E7%9A%84%E9%9D%A2%E7%A7%AF%E7%9A%842%E5%80%8D%2C%E6%B1%82%E8%AF%81%EF%BC%9AOF%E2%88%A5)
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