若a，b，c∈R，a>b，则下列不等式成立的是(   )

A：$\frac{1}{\text{a}}<\frac{1}{\text{b}}$

B：${\text{a}}^2>{\text{b}}^2$

C：$\frac{\text{a}}{{\text{c}}^2+1}>\frac{\text{b}}{{\text{c}}^2+1}$

D：a|c|>b|c|