椭圆x^2/a^2+y^2/b^2=1(a>b>0)的俩顶点为A(a,0)B(0,b),且左焦点为F,△FAB是以角B为直角的直角三角形,则椭圆的离心率e为.
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![椭圆x^2/a^2+y^2/b^2=1(a>b>0)的俩顶点为A(a,0)B(0,b),且左焦点为F,△FAB是以角B为直角的直角三角形,则椭圆的离心率e为.](/uploads/image/z/10364307-51-7.jpg?t=%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E4%BF%A9%E9%A1%B6%E7%82%B9%E4%B8%BAA%28a%2C0%29B%280%2Cb%29%2C%E4%B8%94%E5%B7%A6%E7%84%A6%E7%82%B9%E4%B8%BAF%2C%E2%96%B3FAB%E6%98%AF%E4%BB%A5%E8%A7%92B%E4%B8%BA%E7%9B%B4%E8%A7%92%E7%9A%84%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%2C%E5%88%99%E6%A4%AD%E5%9C%86%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87e%E4%B8%BA.)
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