f(x)为偶函数,则f(x)=f(-x)=f(|x|)f(1-m)<f(m)所以f(|1-m|)<f(|m|)因为f(x)在区间[0,2]上单调递减所以:|1-m|>|m|0≤|1-m|≤20≤|m|≤2 解得:-1≤m<1/2