
函数\(y=f(x)\)的图象是圆心在原点的单位圆的两段弧\((\)如图\()\),则不等式\(f(x) < f(-x)+x\)的解集为\((\:\:\:\:)\)
A. \(\{x|- \dfrac {2 \sqrt {5}}{5} < x < 0\)或\( \dfrac {2 \sqrt {5}}{5} < x\leqslant 1\}\)
B. \(\{x|-1 < x < - \dfrac { \sqrt {5}}{5}\)或\( \dfrac { \sqrt {5}}{5} < x\leqslant 1\}\) C. \(\{x|-1 < x < - \dfrac { \sqrt {5}}{5}\)或\(0 < x < \dfrac { \sqrt {5}}{5} \}\) D. \(\{x|- \dfrac {2 \sqrt {5}}{5} < x < \dfrac {2 \sqrt {5}}{5}\)且\(x\neq 0\}\)