已知双曲线C: x2a2-y2b2=1(a>0,b>0)的左、右焦点分别为F1,F2,过F1的直线与C的两条渐近线分别交于A,B两点.若 ⃑F1A=⃑AB, ⃑F1B⋅⃑F2B=0,则C的离心率为____________.
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已知双曲线C: x2a2-y2b2=1(a>0,b>0)的左、右焦点分别为F1,F2,过F1的直线与C的两条渐近线分别交于A,B两点.若 ⃑F1A=⃑AB, ⃑F1B⋅⃑F2B=0,则C的离心率为____________.
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