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Gaokao Math Practice Question

设直线 $\mid$ 过双曲线 $C$ 的一个焦点, 且与 $C$ 的一条对称轴垂直, $\mid$ 与 $C$ 交于 $A, B$ 两点, $|A B|$ 为 $C$ 的实轴长的 2 倍, 则 $C$ 的离心率为 ($\qquad$)

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

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