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类比推理是指根据题目中已给出的条件并结合自己已有的知识储备的基础上,通过对两个或两个以上对象的相同部分进行分析,由给出的一类对象的性质去分析另一个对象的性质,提出猜想,并进行印证,最终证明猜想的正确性,得出结论的过程。类比推理是高中数学教学中常用的教学方法,也是高中数学考试中重点考查的内容。让学生利用类比推理的方法处理以前没有接触过的、稍有难度的题目,有助于帮助学生快速整合和巩固已有的知识,激发学生的发散思维,提高学生的综合分析和创新能力。因此在高中数学教学中,教师需要对类比推理给予足够的重视,利用好类比推理的教学方法,提高学生认识问题和解决问题的能力。
Analogical reasoning refers to the analysis of the same part of two or more objects based on the conditions given in the title and the existing knowledge reserve, The nature of another object, making conjecture, and confirming it, and finally proves the correctness of conjecture and concludes the process. Analogical reasoning is commonly used in high school mathematics teaching methods, but also high school mathematics exam focused on the contents of the test. Let students use analogical reasoning methods to deal with the previously untouchable, slightly difficult topics to help students quickly integrate and consolidate the existing knowledge to stimulate students ’divergent thinking and improve students’ comprehensive analysis and innovation ability. Therefore, in high school mathematics teaching, teachers need to pay enough attention to analogical reasoning, make good use of analogical reasoning teaching methods, improve students’ ability to recognize and solve problems.