已知椭圆x²/a²+y²/b²=1的左、右焦点分别为F1、F2,M、N为短轴的两个端点,且四边形F1MF2N是面积为4的正方形求:过原点且斜率分别为k和-k(k>=2)的两条直线与椭圆x²/a²+y²/
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![已知椭圆x²/a²+y²/b²=1的左、右焦点分别为F1、F2,M、N为短轴的两个端点,且四边形F1MF2N是面积为4的正方形求:过原点且斜率分别为k和-k(k>=2)的两条直线与椭圆x²/a²+y²/](/uploads/image/z/6855407-71-7.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%26%23178%3B%2Fa%26%23178%3B%2By%26%23178%3B%2Fb%26%23178%3B%3D1%E7%9A%84%E5%B7%A6%E3%80%81%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF1%E3%80%81F2%2CM%E3%80%81N%E4%B8%BA%E7%9F%AD%E8%BD%B4%E7%9A%84%E4%B8%A4%E4%B8%AA%E7%AB%AF%E7%82%B9%2C%E4%B8%94%E5%9B%9B%E8%BE%B9%E5%BD%A2F1MF2N%E6%98%AF%E9%9D%A2%E7%A7%AF%E4%B8%BA4%E7%9A%84%E6%AD%A3%E6%96%B9%E5%BD%A2%E6%B1%82%EF%BC%9A%E8%BF%87%E5%8E%9F%E7%82%B9%E4%B8%94%E6%96%9C%E7%8E%87%E5%88%86%E5%88%AB%E4%B8%BAk%E5%92%8C-k%EF%BC%88k%3E%3D2%EF%BC%89%E7%9A%84%E4%B8%A4%E6%9D%A1%E7%9B%B4%E7%BA%BF%E4%B8%8E%E6%A4%AD%E5%9C%86x%26%23178%3B%2Fa%26%23178%3B%2By%26%23178%3B%2F)
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