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数学
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已知定义域为R的函数f(x)为奇函数,且满足f(x+2)=-f(x),当x∈[0,1]时,f(x)=2
x
-1,则
f(lo
g
1
2
24)
=______.
人气:456 ℃ 时间:2019-08-18 15:18:52
解答
由题意可得:f(x+4)=f[(x+2)+2]=-f(x+2)=f(x),故f(x)的周期为4故f(log1224)=f(-log224)=f(-log2(8×3))=f(-3-log23)=f(4-3-log23)=f(log223)=-f(-log223)=-f(log232),而log232∈[0,1]...
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