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Gaokao Math Practice Question

12. 设 $f(x)$ 是定义域为 $\boldsymbol{R}$ 的奇函数, 且 $f(1+x)=f(-x)$. 若 $f\left(-\frac{1}{3}\right)=\frac{1}{3}$, 则 $f\left(\frac{5}{3}\right)=(\quad)$

  1. A.$-\frac{5}{3}$
  2. B.$-\frac{1}{3}$
  3. C.$\frac{1}{3}$
  4. D.$\frac{5}{3}$

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