已知\(f\left ( {x} \right )=\frac {1} {2}\)，若\(0ab1\)，则下列各式中正确的是(　　) -可可试卷app

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已知\(f\left ( {x} \right )=\frac {1} {2}\)，若\(0<a<b<1\)，则下列各式中正确的是(　　)

A.\(f(a)<f(b)<f\left ( {\frac {1} {a}} \right )<f\left ( {\frac {1} {b}} \right )\)

B.\(f\left ( {\frac {1} {a}} \right )<f\left ( {\frac {1} {b}} \right )<f(b)<f(a)\)

C.\(f(a)<f(b)<f\left ( {\frac {1} {b}} \right )<f\left ( {\frac {1} {a}} \right )\)

D.\(f\left ( {\frac {1} {a}} \right )<f(a)<f\left ( {\frac {1} {b}} \right )<f(b)\)

参考答案：C