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某些数学问题,含有若干个相关变量,解题时往往选取这些变量的平均值或以这些变量的平均值作为参照量进行适当代换,从而顺利解决问题,这种代换称做均值代换,均值代换是换元法的一个重要组成部分,对简化有些问题的解题过程效果明显。
Some mathematical problems contain several related variables. When solving a problem, you often choose the average value of these variables or use the average value of these variables as the reference quantity to perform proper replacement so as to solve the problem smoothly. This substitution is called the mean value substitution. Mean substitution is an important part of the substitution method. It has obvious effect on the problem-solving process that simplifies some problems.