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Gaokao Math Practice Question

若函数 $f(x)$ 的定义域为 $\mathbf{R}$, 且 $f(x+y)+f(x-y)=f(x) f(y), f(1)=1$, 则 $\sum_{k=1}^{22} f(k)=(\quad)$

  1. A.$-3$
  2. B.$-2$
  3. C.0
  4. D.1

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