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Gaokao Math Practice Question

12. 已知函数 $f(x), g(x)$ 的定义域均为 $\mathbf{R}$, 且 $f(x)+g(2-x)=5, g(x)-f(x-4)=7$. 若 $y=g(x)$ 的图像关于直线 $x=2$ 对称, $g(2)=4$ , 则 $\sum_{k=1}^{22} f(k)=()$

  1. A.-21
  2. B.-22
  3. C.-23
  4. D.-24

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