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Gaokao Math Practice Question

5. (5 分)已知方程 $\frac{x^{2}}{m^{2}+n}-\frac{y^{2}}{3 m^{2}-n}=1$ 表示双曲线, 且该双曲线两焦点间的距 离为 4 , 则 $n$ 的取值范围是( $)$

  1. A.$(-1,3)$
  2. B.$(-1, \sqrt{3})$
  3. C.$(0,3)$
  4. D.$(0, \sqrt{3})$

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