已知椭圆的长轴长2a,焦点F1(-√3,0),F2(√3,0),点F1到直线x=-a^2/√3的距离为√3/3,过点F2且倾斜角为锐角的直线l与椭圆交于A,B两点,使得|F2B|=3|F2A|求直线l的方程?
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/31 18:15:40
![已知椭圆的长轴长2a,焦点F1(-√3,0),F2(√3,0),点F1到直线x=-a^2/√3的距离为√3/3,过点F2且倾斜角为锐角的直线l与椭圆交于A,B两点,使得|F2B|=3|F2A|求直线l的方程?](/uploads/image/z/10145174-14-4.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86%E7%9A%84%E9%95%BF%E8%BD%B4%E9%95%BF2a%2C%E7%84%A6%E7%82%B9F1%28-%E2%88%9A3%2C0%29%2CF2%28%E2%88%9A3%2C0%29%2C%E7%82%B9F1%E5%88%B0%E7%9B%B4%E7%BA%BFx%3D-a%5E2%2F%E2%88%9A3%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%E2%88%9A3%2F3%2C%E8%BF%87%E7%82%B9F2%E4%B8%94%E5%80%BE%E6%96%9C%E8%A7%92%E4%B8%BA%E9%94%90%E8%A7%92%E7%9A%84%E7%9B%B4%E7%BA%BFl%E4%B8%8E%E6%A4%AD%E5%9C%86%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E4%BD%BF%E5%BE%97%7CF2B%7C%3D3%7CF2A%7C%E6%B1%82%E7%9B%B4%E7%BA%BFl%E7%9A%84%E6%96%B9%E7%A8%8B%3F)
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