求一道几何题答案在三角形ABC中,点O是AC边上的一个动点,过点O作MN平行于BC,设MN交∠BCA的平分线CE于点E,交∠BCA的平分线CF于点F.(1)求证:OE=OF(2)当O点运动到何处时,四边形AECF为矩形?并证
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![求一道几何题答案在三角形ABC中,点O是AC边上的一个动点,过点O作MN平行于BC,设MN交∠BCA的平分线CE于点E,交∠BCA的平分线CF于点F.(1)求证:OE=OF(2)当O点运动到何处时,四边形AECF为矩形?并证](/uploads/image/z/6990240-48-0.jpg?t=%E6%B1%82%E4%B8%80%E9%81%93%E5%87%A0%E4%BD%95%E9%A2%98%E7%AD%94%E6%A1%88%E5%9C%A8%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E4%B8%AD%2C%E7%82%B9O%E6%98%AFAC%E8%BE%B9%E4%B8%8A%E7%9A%84%E4%B8%80%E4%B8%AA%E5%8A%A8%E7%82%B9%2C%E8%BF%87%E7%82%B9O%E4%BD%9CMN%E5%B9%B3%E8%A1%8C%E4%BA%8EBC%2C%E8%AE%BEMN%E4%BA%A4%E2%88%A0BCA%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BFCE%E4%BA%8E%E7%82%B9E%2C%E4%BA%A4%E2%88%A0BCA%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BFCF%E4%BA%8E%E7%82%B9F.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AOE%3DOF%EF%BC%882%EF%BC%89%E5%BD%93O%E7%82%B9%E8%BF%90%E5%8A%A8%E5%88%B0%E4%BD%95%E5%A4%84%E6%97%B6%2C%E5%9B%9B%E8%BE%B9%E5%BD%A2AECF%E4%B8%BA%E7%9F%A9%E5%BD%A2%3F%E5%B9%B6%E8%AF%81)
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