定义在R上的偶函数\(f\left( x \right)\)满足\(f\left( {x + 1} \right) =

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定义在R上的偶函数\(f\left( x \right)\)满足\(f\left( {x + 1} \right) = - f\left( x \right)\)，且在\(\left[ { - 1,0} \right]\)上是增函数，则（）

A.\(f\left( x \right)\)的图象关于直线\(x = 1\)对称

B.\(f\left( x \right)\)在\(\left[ {0,1} \right]\)上是增函数

C.\(f\left( x \right)\)在\(\left[ {1,2} \right]\)上是减函数

D.\(f\left( 2 \right) = f\left( 0 \right)\)

参考答案：AD