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Gaokao Math Practice Question

12. (5 分) 设函数 $\mathrm{f}(\mathrm{x})=\sqrt{3} \sin \frac{\pi \mathrm{x}}{\mathrm{m}}$, 若存在 $\mathrm{f}(\mathrm{x})$ 的极值点 $\mathrm{x}_{0}$ 满足 $\mathrm{x}_{0}{ }^{2}+\left[\mathrm{f}\left(\mathrm{x}_{0}\right.\right.$ ]$^{2}<m^{2}$ ,则 $m$ 的取值范围是 $(\quad)$

  1. A.$(-\infty,-6) \cup(6,+\infty)$
  2. B.$(-\infty,-4) \cup(4,+\infty)$
  3. C.$(-\infty,-2) \cup(2,+\infty)$
  4. D.$(-\infty,-1) \cup(1,+\infty)$

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