在数学解题过程中 ,难免会出错 ,有的学生解完题后自以为大功告成 ,其实不然 .在其结果中常常会出现增解、漏解、扩大或缩小有关范围 ,不注意其存在性等错误 .但导致错误的原因 ,往往从已知条件和解题过程中都很难发现 ,特别是对多变元的关系式尤其如此 .这就需要认真分析 ,仔 In the course of solving problems in mathematics, it is inevitable that mistakes will be made. Some students will think that they have solved the problem and think that they are done. It is not true. In their results, there are often cases of increase, misunderstanding, expansion or reduction of relevant scope, and lack of attention to its existence. Errors, but the causes of errors, are often difficult to find from the known conditions and the problem solving process, especially for the multi-variant relationship. This requires careful analysis.