已知椭圆C:X²/a²+Y²/b²=1(a>b>0)的离心率为√6/3,短轴一个端点到右焦点的距离为√3(1)求椭圆C的方程(2)设直线L与椭圆C交于A、B两点,坐标原点O到直线L的距离为√3
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/07 13:45:31
![已知椭圆C:X²/a²+Y²/b²=1(a>b>0)的离心率为√6/3,短轴一个端点到右焦点的距离为√3(1)求椭圆C的方程(2)设直线L与椭圆C交于A、B两点,坐标原点O到直线L的距离为√3](/uploads/image/z/4337128-64-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%EF%BC%9AX%26sup2%3B%EF%BC%8Fa%26sup2%3B%EF%BC%8BY%26sup2%3B%EF%BC%8Fb%26sup2%3B%3D1%EF%BC%88a%EF%BC%9Eb%EF%BC%9E0%EF%BC%89%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA%E2%88%9A6%EF%BC%8F3%2C%E7%9F%AD%E8%BD%B4%E4%B8%80%E4%B8%AA%E7%AB%AF%E7%82%B9%E5%88%B0%E5%8F%B3%E7%84%A6%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%E2%88%9A3%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86C%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89%E8%AE%BE%E7%9B%B4%E7%BA%BFL%E4%B8%8E%E6%A4%AD%E5%9C%86C%E4%BA%A4%E4%BA%8EA%E3%80%81B%E4%B8%A4%E7%82%B9%2C%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9O%E5%88%B0%E7%9B%B4%E7%BA%BFL%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%E2%88%9A3)
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