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Gaokao Math Practice Question

12. 已知球 $O$ 的半径为 1 , 四棱雉的顶点为 $O$, 底面的四个顶点均在球 $O$ 的球面上, 则当该 四棱雉的体积最大时,其高为()

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

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