已知二次函数 \(f\left ( {x} \right )\) 满足 \(f\left ( {1+x} \right )=f\left ( {1-x} \right )\) ,且 \(f\left ( {0} \right )=0，f\left ( {1} \right )=1\) ,且在区间 \(\left [ {m，n} \right ]\) 上的值域是 \(\left [ {m，n} \right ]\) ,求实数 \(m，n\) 的值.

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