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Gaokao Math Practice Question

11. 设 $F_{1}, F_{2}$ 是双曲线 $C: x^{2}-\frac{y^{2}}{3}=1$ 的两个焦点, $O$ 为坐标原点, 点 $P$ 在 $C$ 上且 $|O P|=2$, 则 $\triangle P F_{1} F_{2}$ 的面积为 ( )

  1. A.$\frac{7}{2}$
  2. B.3
  3. C.$\frac{5}{2}$
  4. D.2

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