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Gaokao Math Practice Question

已知双曲线 $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \left(a>0 , b>0 \right)$ 的渐近线与抛物线 $y=x^{2}+1$ 相 切,则该双曲线的离心率为 ($\qquad$)

  1. A.$\sqrt{3}$
  2. B.2
  3. C.$\sqrt{5}$
  4. D.$\sqrt{6}$

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