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许多数学刊物上,陆续介绍过求函数极值的一些方法(如二次函数极值法、判别式法、不等式法、几何法、三角代换法以及微分法等),本文将介绍另外几种方法。一、标准量代换法在求某些有多个变量函数的条件极值时,我们可以选取某个与这些变量有关的量作为标准量,称其余各量为比较量,然后将比较量用标准量与另外选取的辅助量表示出来,这样就将变为研究标准量与辅助量间的关系了。
Many mathematics publications have introduced methods to find the extremum of functions (such as quadratic function extremum method, discriminant method, inequality method, geometric method, trigonometric substitution method, differential method, etc.). This article will introduce several other methods. method. First, the standard quantity substitution method In order to find the conditional extremum of some function with multiple variables, we can select one of the quantities related to these variables as the standard quantity, and call the remaining quantity as the comparison quantity, and then use the comparison quantity. The standard quantity and the auxiliary quantity selected are expressed, so that the relationship between the standard quantity and the auxiliary quantity will be studied.