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Gaokao Math Practice Question

已知 $F_{1}$、 $F_{2}$ 为双曲线 $C: x^{2}-y^{2}=2$ 的左、右焦点, 点 $P$ 在 $C$ 上, $\left|P F_{1}\right|=2\left|P F_{2}\right|$, 则 $\cos \angle F_{1} P F_{2}=(\qquad)$

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

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