若f(x)是R上的奇函数,且f(2x-1)的周期为4,若f(6)=-2,则f(2008)+f(2010)=______.
人气:220 ℃ 时间:2019-12-05 12:18:57
解答
∵f(2x-1)的周期为4∴f(x)的周期为8因为函数的周期为8,所以f(2008)=f(2000+8)=f(0)f(2010)=f(2002+8)=f(2)=f(-6)又因为f(x)是R上的奇函数,f(6)=-2,则f(0)=0,f(-6)=2∴f(2008)=0,f...
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