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Gaokao Math Practice Question

已知 $F_{1}, F_{2}$ 是双曲线 $C$ 的两个焦点, $P$ 为 $C$ 上一点, 且 $\angle F_{1} P F_{2}=60^{\circ},\left|P F_{1}\right|=3\left|P F_{2}\right|$, 则 $C$ 的离心率为 ($\quad$)

  1. A.$\frac{\sqrt{7}}{2}$
  2. B.$\frac{\sqrt{13}}{2}$
  3. C.$\sqrt{7}$
  4. D.$\sqrt{13}$

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