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如果若干个变量适合某种关系式,则称它们是相关变量。否则,称为无关变量。对于相关变量式的取值问题是学生学习的题点,有关问题的病解题,在学生练习中,资料杂志上时有发现。本刊今年第4期刊载的《一类带参变量的二次函数最值问题的错误解法探源》一文,从几何角度找出了病因和诊治措施。但人们碰到这类问题时,总想从代数的角度去寻探解题思路,因此,读者在阅读文后,仍难以除却病根。为此,笔者这里从代数的角度去寻找病根,同时给出几种预防措施,是否可弥补其不足,愿与读者们一起探讨。我们首先列出一组病例:
If several variables are suitable for a certain relationship, they are called related variables. Otherwise, it is called an independent variable. The question of the value of the relevant variable formula is the subject of students’ learning. The problem solving questions related to the problem have been found in student magazines and information magazines. In the fourth issue of this year’s issue of “The Source of Error Solutions for a Class of Quadratic Function with Parametric Variables”, this paper finds out the causes and treatment measures from a geometric perspective. However, when people encounter this type of problem, they always want to explore the problem-solving ideas from the perspective of algebra. Therefore, after reading the text, readers still have difficulty eradicating the root cause. To this end, the author here to find the root cause from the perspective of algebra, while giving several preventive measures, whether it can make up for their deficiencies, and is willing to discuss with the readers. We first list a group of cases: