已知椭圆C:(^代表平方的意思):X^/a^+y^/b^=1(a>b>0)的离心率为根号6/3.短轴一个端点到右焦点距离为根号3设直线l与C交于AB两点,坐标O到直线l的距离为根号3/2求AOB的最大面积
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![已知椭圆C:(^代表平方的意思):X^/a^+y^/b^=1(a>b>0)的离心率为根号6/3.短轴一个端点到右焦点距离为根号3设直线l与C交于AB两点,坐标O到直线l的距离为根号3/2求AOB的最大面积](/uploads/image/z/4900186-10-6.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3A%28%5E%E4%BB%A3%E8%A1%A8%E5%B9%B3%E6%96%B9%E7%9A%84%E6%84%8F%E6%80%9D%29%EF%BC%9AX%5E%2Fa%5E%2By%5E%2Fb%5E%3D1%28a%3Eb%3E0%29%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA%E6%A0%B9%E5%8F%B76%2F3.%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%E8%B7%9D%E7%A6%BB%E4%B8%BA%E6%A0%B9%E5%8F%B73%E8%AE%BE%E7%9B%B4%E7%BA%BFl%E4%B8%8EC%E4%BA%A4%E4%BA%8EAB%E4%B8%A4%E7%82%B9%2C%E5%9D%90%E6%A0%87O%E5%88%B0%E7%9B%B4%E7%BA%BFl%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%E6%A0%B9%E5%8F%B73%2F2%E6%B1%82AOB%E7%9A%84%E6%9C%80%E5%A4%A7%E9%9D%A2%E7%A7%AF)
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