Gaokao Math Practice Question
12. (5 分) 设函数 $f(x)=\ln (1+|x|)-\frac{1}{1+x^{2}}$, 则使得 $f(x)>f(2 x-1)$ 成 立的 $\mathrm{x}$ 的取值范围是 ( $)$
- A.$\left(-\infty, \frac{1}{3}\right) \cup(1,+\infty)$
- B.$\left(\frac{1}{3}, 1\right)$
- C.$\left(-\frac{1}{3}, \frac{1}{3}\right)$
- D.$\left(-\infty,-\frac{1}{3},\right) \cup\left(\frac{1}{3},+\infty\right)$
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