已知椭圆C,x²/a²+y²/b²=1上任意一点P到两个焦点的距离的和2√3,P与椭圆长轴两顶点连线的斜率为-2/3.问 椭圆方程. 我的作法 设P(x,y)由2a=2√3→ a=√3 则y/(x-√3)×y(x+√3)=-2/3 →y
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![已知椭圆C,x²/a²+y²/b²=1上任意一点P到两个焦点的距离的和2√3,P与椭圆长轴两顶点连线的斜率为-2/3.问 椭圆方程. 我的作法 设P(x,y)由2a=2√3→ a=√3 则y/(x-√3)×y(x+√3)=-2/3 →y](/uploads/image/z/3705072-24-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%2Cx%26%23178%3B%2Fa%26%23178%3B%2By%26%23178%3B%2Fb%26%23178%3B%3D1%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9P%E5%88%B0%E4%B8%A4%E4%B8%AA%E7%84%A6%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E7%9A%84%E5%92%8C2%E2%88%9A3%2CP%E4%B8%8E%E6%A4%AD%E5%9C%86%E9%95%BF%E8%BD%B4%E4%B8%A4%E9%A1%B6%E7%82%B9%E8%BF%9E%E7%BA%BF%E7%9A%84%E6%96%9C%E7%8E%87%E4%B8%BA-2%2F3.%E9%97%AE+%E6%A4%AD%E5%9C%86%E6%96%B9%E7%A8%8B.+%E6%88%91%E7%9A%84%E4%BD%9C%E6%B3%95+%E8%AE%BEP%EF%BC%88x%2Cy%EF%BC%89%E7%94%B12a%3D2%E2%88%9A3%E2%86%92+a%3D%E2%88%9A3+%E5%88%99y%2F%28x-%E2%88%9A3%29%C3%97y%28x%2B%E2%88%9A3%29%3D-2%2F3+%E2%86%92y%26%231)
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