设椭圆C :x^2/a^2+y^2/b^2=1(a>b>0)的左右焦点分别为F1,F2,P是C上的点PF2⊥F1F2,角PF1F2=30°,则C的离心率为
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![设椭圆C :x^2/a^2+y^2/b^2=1(a>b>0)的左右焦点分别为F1,F2,P是C上的点PF2⊥F1F2,角PF1F2=30°,则C的离心率为](/uploads/image/z/6970926-30-6.jpg?t=%E8%AE%BE%E6%A4%AD%E5%9C%86C+%3Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF1%2CF2%2CP%E6%98%AFC%E4%B8%8A%E7%9A%84%E7%82%B9PF2%E2%8A%A5F1F2%2C%E8%A7%92PF1F2%3D30%C2%B0%2C%E5%88%99C%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA)
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