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Gaokao Math Practice Question

1. 若 $z=-1+\sqrt{3} \mathbf{i}$, 则 $\frac{z}{z \bar{z}-1}=()$

  1. A.$-1+\sqrt{3} \mathrm{i}$
  2. B.$-1-\sqrt{3} i$
  3. C.$-\frac{1}{3}+\frac{\sqrt{3}}{3} \mathrm{i}$
  4. D.$-\frac{1}{3}-\frac{\sqrt{3}}{3} i$

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