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已知定义在\({\rm{R}}\)上的函数\(f\left( x \right)\)满足\(f\left( { - x} \right) = f\left( x \right) = f\left( {x + 2} \right)\),且当\(x \in \left[ {0,1} \right]\)时,\(f\left( x \right) = x\),则下列说法正确的是( )
A.\(f\left( x \right)\)是偶函数
B.\(f\left( x \right)\)是周期函数
C.\(f\left( {\frac{{99}}{2}} \right) = - 1\)
D.\(x \in \left[ { - 1,0} \right)\)时,\(f\left( x \right) = x\)
参考答案:AB
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