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设函数y=f(x)的定义域为D,若对于任意x1,x2∈D且x1+x2=2a,恒有...
设函数y=f(x)的定义域为D,若对于任意x
1,x
2∈D且x
1+x
2=2a,恒有f(x
1)+f(x
2)=2b,则称点(a,b)为函数y=f(x)图象的对称中心.研究并利用函数f(x)=x
3-3x
2-sin(πx)的对称中心,可得
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102429882537305/SYS201311031024298825373009_ST/0.png)
=( )
A.4023
B.-4023
C.8046
D.-8046
考点分析:
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