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《立体几何》椭圆一节中常常出现这样一类问题:已知椭圆x2a2+by22=1(a>b>0),F1,F2为其左右两个焦点,如果椭圆上存在一点Q,使∠F1QF2=120°,求该椭圆离心率e的取值范围.
Such a problem often occurs in the section of “solid geometry” ellipse: it is known that an ellipse x2a2 + by22 = 1 (a> b> 0), and F1 and F2 are the left and right focuses. If there is a point Q on the ellipse, F1QF2 = 120 °, find the elliptical eccentricity e range of values.