f（x+2）=f（x） 的周期是多少？ -f(x)=f(x+2)的周期是多少。给步骤，谢谢你！

f\uff08x\uff0b2\uff09\uff1d\uff0df\uff08x\uff09\u600e\u4e48\u6c42\u51fd\u6570\u5468\u671f\uff1f

\u7ed3\u679c\u4e3a\uff1a\u6b64\u51fd\u6570\u5468\u671f\u4e3a4
\u89e3\u9898\u8fc7\u7a0b\u5982\u4e0b\uff1a
f(x+2)=-f(x)
\u89e3\uff1a
=f(x+4)
=f(x+2+2)
=-f(x+2)
=-[-f(x)]
=f(x)
\u2234 f(x)\u7684\u5468\u671f\u662f4
\u6269\u5c55\u8d44\u6599\u6c42\u51fd\u6570\u5468\u671f\u7684\u65b9\u6cd5\uff1a
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\uff086\uff09\u5468\u671f\u51fd\u6570f\uff08x\uff09\u7684\u5b9a\u4e49\u57dfM\u5fc5\u5b9a\u662f\u81f3\u5c11\u4e00\u65b9\u65e0\u754c\u7684\u96c6\u5408\u3002

\u5468\u671f\u7684\u5b9a\u4e49\u662f\uff1a\u5bf9\u4e8e\u51fd\u6570f(x)\uff0c\u5982\u679c\u5bf9\u4e8e\u6240\u6709\u7684x\u2208R\u90fd\u6709f(x+T)=f(x)\uff0c\u90a3\u4e48T\u5c31\u662f\u8fd9\u4e2a\u51fd\u6570\u7684\u5468\u671f\u3002
\u7531f(x+2)=-f(x)\uff0c\u53ef\u5f97f(x)=-f(x+2).
f(x)=-f(x+2)=-[-f(x+2+2)]=f(x+4)
\u6240\u4ee5\uff1aT=4
\u5373\uff1a\u51fd\u6570\u7684\u5468\u671f\u4e3a4

周期是4， 令X-2=T,T=X+2 所以f（x）=f(T+2)， f(x-2)=f(T+2)f（x）=f(x-2)=f（x+2）
f(x),x+2,周期
周期是4， 令X-2=T,T=X+2 所以f（x）=f(T+2)， f(x-2)=f(T+2)f（x）=f(x-2)=f（x+2）

周期是2
就类似x=x+2

f(x+T)=f〈x)
T=2

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