1引言在数学教学中,我们经常听教师说这样的话:“这是一个换汤不换药的题,跟这个题目相似的问题我们都已经讲过很多遍了,但是题目稍微变了一下样子,同学们怎么就不会做了.”细细回想这些话,站在学生的角度来说,之前教师给他们讲解的那个题目确实是听懂了,现在如果再遇到那个题目也会做,所以在学生看来确实是懂了,但遇到相似的问题怎么又不会了呢?如何才能做到像教师说的那样,一看到题目就能很自然地把现在这个题转化到之前已经熟悉的某一类题目上去,做到真正意义上的做一题,会一类,而不 1 Introduction In mathematics teaching, we often listen to the teacher to say something like this: “This is a change of mind, with the problem similar to the problem we have talked about many times, but the subject changed slightly look , Students will not do how. ”If you think about these words carefully, standing in the student’s point of view, before the teacher to explain to them that the problem is really understand, and now if you encounter that problem will do , So it really seems to understand the students, but encountered a similar problem why not? How can be done as teachers say, as soon as you see the title will be able to naturally convert the current question before Has been familiar with a certain type of topic up, so do a real sense of the problem, will be a class, rather than