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Gaokao Math Practice Question

8. (5 分) 等轴双曲线 $C$ 的中心在原点, 焦点在 $x$ 轴上, $C$ 与抛物线 $y^{2}=16 x$ 的 准线交于点 $A$ 和点 $B,|A B|=4 \sqrt{3}$, 则 $C$ 的实轴长为( )

  1. A.$\sqrt{2}$
  2. B.$2 \sqrt{2}$
  3. C.4
  4. D.8

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