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Gaokao Math Practice Question

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

  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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