类比推理方法就是引导学生利用已有的知识点和新的知识进行联想或比较,重构知识体系,从而获得数学问题的解答思路及方法。笔者认为,类比教学法在高中数学教学主要体现在下面三个方面:一、数与数类比在高中代数教学中,数与数之间的概念上就存在着类比关系。在二元均值不等式及三元均值不等式中就存在着类比相似性。例如:a~2+b~2≥2ab,a~3+b~3+c~3≥3abc;a+b≥2(ab)~(1/2)(a≥0,b≥0),a+b+c≥3(abc)~(1/3)之间就有类比性。如果我们引导学生运用这些类比的特点,必然会使题目大大 Analogical reasoning method is to guide students to use existing knowledge points and new knowledge to associate or compare, rebuild the knowledge system, in order to obtain mathematical ideas to solve the ideas and methods. The author believes that the teaching of analogy in high school mathematics teaching is mainly reflected in the following three aspects: First, the number of analogy In high school algebra teaching, there is an analogy between the number and the number of analogy. In the binary mean inequality and ternary mean inequality there is analogy similarity. For example, a ~ 2 + b ~ 2≥2ab, a ~ 3 + b ~ 3 + c ~ 3≥3abc; a + b≥2 a + b + c ≥ 3 (abc) ~ (1/3) there is a analogy. If we guide students to use the characteristics of these analogies, it is bound to make the subject greatly