Gaokao Math Practice Question
11. (5 分) 设 $F_{1}, F_{2}$ 是双曲线 $C: \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1(a>0, b>0)$ 的左, 右焦点, $O$ 是坐标原点. 过 $F_{2}$ 作 $C$ 的一条渐近线的垂线, 垂足为 $P$, 若 $\left|P F_{1}\right|=\sqrt{6}|O P|$, 则 $C$ 的离心率为 $(\quad)$
- A.$\sqrt{5}$
- B.2
- C.$\sqrt{3}$
- D.$\sqrt{2}$
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