给出了大加权三角形不等式的一个简单推论，由之简捷地推导出一些新的涉及三角形内部任一点的三元二次型不等式。
This paper presents a simple deduction of an inequality for heavy weighted triangles, and with it some new quadratic inequalities of three variants at any point within a triangle.
新方法的特点是程序简单，可以较精确地求解10维以下的等式或不等式约束问题，无需提供偏导数。
This method is featured by simple procedure, accurate solution of equality or inequality constraints not more than 10.
本文介绍了用微分法讨论不等式有关证明方法，利用这些方法使不等式的证明变得非常简单。
The paper introduces the methods of proving the inequality with differentiation, which make it easy to prove some inequalities.
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