如图,在△ABC中,点O是AC边上的一个动点,过点O作MN∥BC,交∠ACB的平分线于点E,交∠ACB的外角平分线于点F.(1)求证:OC=二分之一EF;(2)当点O位于AC边的什么位置时,四边性AECF是矩形?并给出证
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![如图,在△ABC中,点O是AC边上的一个动点,过点O作MN∥BC,交∠ACB的平分线于点E,交∠ACB的外角平分线于点F.(1)求证:OC=二分之一EF;(2)当点O位于AC边的什么位置时,四边性AECF是矩形?并给出证](/uploads/image/z/9449267-59-7.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABC%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%E2%88%A5BC%2C%E4%BA%A4%E2%88%A0ACB%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BF%E4%BA%8E%E7%82%B9E%2C%E4%BA%A4%E2%88%A0ACB%E7%9A%84%E5%A4%96%E8%A7%92%E5%B9%B3%E5%88%86%E7%BA%BF%E4%BA%8E%E7%82%B9F%EF%BC%8E%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AOC%3D%E4%BA%8C%E5%88%86%E4%B9%8B%E4%B8%80EF%EF%BC%9B%EF%BC%882%EF%BC%89%E5%BD%93%E7%82%B9O%E4%BD%8D%E4%BA%8EAC%E8%BE%B9%E7%9A%84%E4%BB%80%E4%B9%88%E4%BD%8D%E7%BD%AE%E6%97%B6%2C%E5%9B%9B%E8%BE%B9%E6%80%A7AECF%E6%98%AF%E7%9F%A9%E5%BD%A2%3F%E5%B9%B6%E7%BB%99%E5%87%BA%E8%AF%81)
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