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1. （5 分）已知集合 $M=\left\{x \mid(x-1)^{2}<4, x \in R\right\}, N=\{-1,0,1,2,3\}$, 则 $M$ $\cap N=(\quad)$

Gaokao · Math · previous-year question

  1. A.$\{0,1,2\}$correct
  2. B.$\{-1,0,1,2\}$
  3. C.$\{-1,0,2,3\}$
  4. D.$\{0,1,2,3\}$

Answer

A. $\{0,1,2\}$

Explanation

解: 由 $(x-1)^{2}<4$, 解得: $-1<x<3$, 即 $M=\{x \mid-1<x<3\}$, $\because N=\{-1,0,1,2,3\}$, $\therefore M \cap N=\{0,1,2\}$. 故选: A.

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