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对于一些非函数不等式证明问题,可以构造一种辅助的二次函数f(x)=Σ(aix-b)2,再用f(x)≥0.△≤0可使问题化难为易,简捷巧解.
For some non-function inequality proof problems, we can construct an auxiliary quadratic function f(x) = Σ(aix-b)2, then use f(x) ≥ 0. △ ≤ 0 to make the problem difficult and easy. Clever solution.