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中学数学中有一个很重要的思想,就是换元.通过变量替换,使问题化繁为简,问题中的已知和未知的关系凸现出来,从而比较方便地找到解题的正确途径.换元实质上是中学代数本质上的东西.它看似简单,但要灵活使用它就不是那么容易.“换元”的方法,不只是教给学生几种变换就完成了,它更重要的是教会学生掌握换元的思想,随时随地都能用元的观点看待一个数学问题.
In middle school mathematics, there is a very important idea that is to change the yuan. Through the replacement of variables, the problems are simplified, the known and unknown relations in the problem are highlighted, and it is easier to find the correct way to solve problems. It is essentially the nature of middle school algebra. It seems simple, but it is not easy to use it flexibly. The method of “changing yuan” is not only taught to students in several transformations, but it is more important to the church. Students grasp the idea of changing yuan, and can view a mathematical problem from the point of view of yuan at any time and place.