已知F1F2是椭圆x^2/a^2+y^2/b^2的左右焦点,点P在椭圆上,且∠F1PF=π/2,记PF1与轴的交点为Q,O为原点,若F1OQ与OF2PQ面积之比为1:2,则椭圆离心率为?
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![已知F1F2是椭圆x^2/a^2+y^2/b^2的左右焦点,点P在椭圆上,且∠F1PF=π/2,记PF1与轴的交点为Q,O为原点,若F1OQ与OF2PQ面积之比为1:2,则椭圆离心率为?](/uploads/image/z/5183020-28-0.jpg?t=%E5%B7%B2%E7%9F%A5F1F2%E6%98%AF%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%2C%E7%82%B9P%E5%9C%A8%E6%A4%AD%E5%9C%86%E4%B8%8A%2C%E4%B8%94%E2%88%A0F1PF%3D%CF%80%2F2%2C%E8%AE%B0PF1%E4%B8%8E%E8%BD%B4%E7%9A%84%E4%BA%A4%E7%82%B9%E4%B8%BAQ%2CO%E4%B8%BA%E5%8E%9F%E7%82%B9%2C%E8%8B%A5F1OQ%E4%B8%8EOF2PQ%E9%9D%A2%E7%A7%AF%E4%B9%8B%E6%AF%94%E4%B8%BA1%EF%BC%9A2%2C%E5%88%99%E6%A4%AD%E5%9C%86%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA%3F)
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