f(x+1)是偶函数和f(x)是偶函数有区别吗 f(x)是偶函数 则f(x+1)是偶函数吗
f(x+1)\u662f\u5076\u51fd\u6570\u548cf(x)\u662f\u5076\u51fd\u6570\u6709\u533a\u522b\u5417f(x)\u662f\u5076\u51fd\u6570\uff0c\u6709f(-x)=f(x) \u800c\u4e14f(x)\u5173\u4e8ey\u8f74\u5bf9\u79f0
f(x+1)\u662f\u5076\u51fd\u6570\uff0c\u6709f(-x+1)=f(x+1) \u5219 f(x)\u5173\u4e8e\u76f4\u7ebfx=1\u5bf9\u79f0
f\uff08x\uff09\u662f\u5076\u51fd\u6570 \u5219f\uff08x+1\uff09\u4e0d\u4e00\u5b9a\u662f\u5076\u51fd\u6570
\u4f8b\u5982f(x)=cosx\u662f\u5076\u51fd\u6570\uff0c\u800cf(x+1)=cos(x+1)\u4e0d\u662f\u5076\u51fd\u6570
\u4f8b\u5982f(x)=0\u662f\u5076\u51fd\u6570\uff0c\u800cf(x+1)=0\u662f\u5076\u51fd\u6570\u3002
f(x)是偶函数,有f(-x)=f(x)
而且f(x)关于y轴对称
f(x+1)是偶函数,有f(-x+1)=f(x+1)
则
f(x)关于直线x=1对称
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