已知F1F2分别是双曲线x2/a2-y2/b2=1(a>0,b>0)的左右焦点,过F1且垂直于x轴的直线与双曲线交于AB两点,若△ABF2是锐角三角形,则该双曲线离心率e的取值范围 ( )A(1,根号3)B(根号3,2倍根号2)C(
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![已知F1F2分别是双曲线x2/a2-y2/b2=1(a>0,b>0)的左右焦点,过F1且垂直于x轴的直线与双曲线交于AB两点,若△ABF2是锐角三角形,则该双曲线离心率e的取值范围 ( )A(1,根号3)B(根号3,2倍根号2)C(](/uploads/image/z/5915780-44-0.jpg?t=%E5%B7%B2%E7%9F%A5F1F2%E5%88%86%E5%88%AB%E6%98%AF%E5%8F%8C%E6%9B%B2%E7%BA%BFx2%2Fa2-y2%2Fb2%3D1%28a%EF%BC%9E0%2Cb%EF%BC%9E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%2C%E8%BF%87F1%E4%B8%94%E5%9E%82%E7%9B%B4%E4%BA%8Ex%E8%BD%B4%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BF%E4%BA%A4%E4%BA%8EAB%E4%B8%A4%E7%82%B9%2C%E8%8B%A5%E2%96%B3ABF2%E6%98%AF%E9%94%90%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%2C%E5%88%99%E8%AF%A5%E5%8F%8C%E6%9B%B2%E7%BA%BF%E7%A6%BB%E5%BF%83%E7%8E%87e%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4+%EF%BC%88+%EF%BC%89A%EF%BC%881%2C%E6%A0%B9%E5%8F%B73%EF%BC%89B%EF%BC%88%E6%A0%B9%E5%8F%B73%2C2%E5%80%8D%E6%A0%B9%E5%8F%B72%EF%BC%89C%EF%BC%88)
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