已知椭圆x^a^+y^\x08^=1的两个焦点分别为F1F2(a>b>0),且|F1F2|=2.点P在椭圆上.三角形PF1F2的周长为6.过椭圆C的右焦点的动直线L与椭圆C相交于AB两点.若线段AB中点的横坐标为0.5求直线L的方程.
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![已知椭圆x^a^+y^\x08^=1的两个焦点分别为F1F2(a>b>0),且|F1F2|=2.点P在椭圆上.三角形PF1F2的周长为6.过椭圆C的右焦点的动直线L与椭圆C相交于AB两点.若线段AB中点的横坐标为0.5求直线L的方程.](/uploads/image/z/1570240-64-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%5Ea%5E%2By%5E%5Cx08%5E%3D1%E7%9A%84%E4%B8%A4%E4%B8%AA%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF1F2%EF%BC%88a%EF%BC%9Eb%EF%BC%9E0%EF%BC%89%2C%E4%B8%94%7CF1F2%7C%3D2.%E7%82%B9P%E5%9C%A8%E6%A4%AD%E5%9C%86%E4%B8%8A.%E4%B8%89%E8%A7%92%E5%BD%A2PF1F2%E7%9A%84%E5%91%A8%E9%95%BF%E4%B8%BA6.%E8%BF%87%E6%A4%AD%E5%9C%86C%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9%E7%9A%84%E5%8A%A8%E7%9B%B4%E7%BA%BFL%E4%B8%8E%E6%A4%AD%E5%9C%86C%E7%9B%B8%E4%BA%A4%E4%BA%8EAB%E4%B8%A4%E7%82%B9.%E8%8B%A5%E7%BA%BF%E6%AE%B5AB%E4%B8%AD%E7%82%B9%E7%9A%84%E6%A8%AA%E5%9D%90%E6%A0%87%E4%B8%BA0.5%E6%B1%82%E7%9B%B4%E7%BA%BFL%E7%9A%84%E6%96%B9%E7%A8%8B.)
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