\((1)\)已知\(x > 1\),求证:\({{x}^{2}}+\dfrac{1}{{{x}^{2}}} > x+\dfrac{1}{x}\);
\((2)\)已知\(x∈R\),\(a=x^{2}-x+1\),\(b=4-x\),\(c=x^{2}-2x.\)试用反证法证明\(a\),\(b\),\(c\)中至少有一个不小于\(1\).
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