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Gaokao Math Practice Question

3. (5 分)下面是关于复数 $z=\frac{2}{-1+i}$ 的四个命题:其中的真命题为 $(\quad)$, $p_{1}:|z|=2$, $\mathrm{p}_{2}: \mathrm{z}^{2}=2 \mathrm{i}$, $p_{3}: z$ 的共轭复数为 $1+i$, $p_{4}: z$ 的虚部为 -1 .

  1. A.$\mathrm{p}_{2}, \mathrm{p}_{3}$
  2. B.$p_{1}, p_{2}$
  3. C.$\mathrm{p}_{2}, \mathrm{p}_{4}$
  4. D.$p_{3}, p_{4}$

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