> 数学 >
设f(x)=log
1
2
1−ax
x−1
为奇函数,则a=______.
人气:397 ℃ 时间:2019-10-19 06:01:53
解答
∵f(x)=log121−axx−1为奇函数,∴f(-x)=-f(x),即f(x)+f(-x)=0,则log121−axx−1+log121+ax−x−1=log12(1−axx−1•1+ax−x−1)=0,即a2x2−1x2−1=1,即a2x2-1=x2-1,即a2=1,解得a=1或a=-1,当a=1...
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