题干

椭圆Γ:
x
2
a
2
+
y
2
b
2
=1(a>b>0)的左右焦点分别为F1,F2,焦距为2c,若直线y= 3(x+c) 与椭圆Γ的一个交点M满足∠MF1F2=2∠MF2F1,则该椭圆的离心率等于____
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