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Gaokao Math Practice Question

设 $a>1$, 则双曲线 $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{(a+1)^{2}}=1$ 的离心率 $e$ 的取值范围是 ($\qquad$)

  1. A.$(\sqrt{2}, 2)$
  2. B.$(\sqrt{2}, \sqrt{5})$
  3. C.$(2,5)$
  4. D.$(2, \sqrt{5})$

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