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用算术方法解题必须一步一步进行推理,使全部条件暴露,最后“问题”方获解决,它把已知和未知截然分开,其“问题”一直处于被动求解的地位。而列方程解应用题,将“问题”用X代替后,可以依照题目叙述的顺序,把未知和已知处于平等地位,共同纳入解题过程之中,列出方程,这样就利于思考,很灵活,很方便,能进一步提高学生的解题能力。但学生由于对用算术方法解应用题的思路和方法,已经比较熟悉,最初学习列方程解应用题常受算术解法的干忧,分析数量关系、列方程都存在一定困难,甚至列出与算术解法完全一样的特殊方程(即未知数X单独在等号的一边,而另一边全是已知数)。
Mathematic methods to solve the problem must be reasoned step by step, so that all the conditions are exposed, and finally the “problem” side is resolved, it completely separated from the known and unknown, the “problem” has been in a passive position. The column equation solution application questions, the “problem” replaced by X, you can follow the title of the order, the unknown and known in an equal position, common problem-solving process, listed in the equation, so that is conducive to thinking, it is Flexible, very convenient, to further enhance the ability of students to solve problems. However, students are already familiar with the ideas and methods of using arithmetic methods to solve applied problems. Initially, the problems encountered in solving equations of equations often depend on the arithmetic solution. It is difficult to analyze the quantitative relations and column equations, Exactly the same special equation (ie unknowns X are on the side of the equal sign, and the other side are all known numbers).