．要证：\(a\)\({\,\!}^{2}\)\(+b\)\({\,\!}^{2}\)\(-\)\(1-a\)\({\,\!}^{2}\)\(b\)\({\,\!}^{2}\leqslant 0\)，只要证明\((\) \()\)--优优班--学霸训练营

．要证：\(a\)\({\,\!}^{2}\)\(+b\)\({\,\!}^{2}\)\(-\)\(1-a\)\({\,\!}^{2}\)\(b\)\({\,\!}^{2}\leqslant 0\)，只要证明\((\) \()\)

A．\(2\) \(ab-\)\(1\) \(-a\)\({\,\!}^{2}\) \(b\)\({\,\!}^{2}\leqslant 0\)

B．\(a\)\({\,\!}^{2}\) \(+b\)\({\,\!}^{2}\) \(-\)\(1\) \(-\)\( \dfrac{{a}^{4}+{b}^{4}}{2} \leqslant 0\)

C．\( \dfrac{{\left(a+b\right)}^{2}}{2} \) \(-\)\(1\) \(-a\)\({\,\!}^{2}\) \(b\)\({\,\!}^{2}\leqslant 0\)

D．\(( \)\(a\)\({\,\!}^{2}\) \(-\)\(1)(\) \(b\)\({\,\!}^{2}\) \(-\)\(1)\geqslant 0\)

【考点】分析法

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难度：易