若函数f(x)是偶函数,当x∈[0,1]时,f(x)=x,若g(x)=f(x)-mx+1在区间[-1,1]内恰好有一个零点,则实数m的取值
范围是
人气:180 ℃ 时间:2019-11-24 04:37:30
解答
[-1,1]有一个零点
g(-1)*g(1)<0
[f(-1)+m+1][f(1)-m+1]<0
偶函数f(-1)=f(1)
[f(1)+1]^2-m^2<0
[f(1)+1]^24m>2或者m<-2
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