设F为双曲线C:x^2/a^2-y^2/b^2的右焦点,P为第一象限内双曲线上的点,Q为x=-a^2/c上的点,O为坐标原点,若OP垂直平方QF,则双曲线的离心率的取值范围是?
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![设F为双曲线C:x^2/a^2-y^2/b^2的右焦点,P为第一象限内双曲线上的点,Q为x=-a^2/c上的点,O为坐标原点,若OP垂直平方QF,则双曲线的离心率的取值范围是?](/uploads/image/z/11460006-54-6.jpg?t=%E8%AE%BEF%E4%B8%BA%E5%8F%8C%E6%9B%B2%E7%BA%BFC%EF%BC%9Ax%5E2%2Fa%5E2-y%5E2%2Fb%5E2%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9%2CP%E4%B8%BA%E7%AC%AC%E4%B8%80%E8%B1%A1%E9%99%90%E5%86%85%E5%8F%8C%E6%9B%B2%E7%BA%BF%E4%B8%8A%E7%9A%84%E7%82%B9%2CQ%E4%B8%BAx%3D-a%5E2%2Fc%E4%B8%8A%E7%9A%84%E7%82%B9%2CO%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%2C%E8%8B%A5OP%E5%9E%82%E7%9B%B4%E5%B9%B3%E6%96%B9QF%2C%E5%88%99%E5%8F%8C%E6%9B%B2%E7%BA%BF%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E6%98%AF%3F)
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