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当代数学家哈尔莫斯说过:“数学的真正组成部分是问题和解.”在数学的学习过程中,固然需要解答大量的数学问题,但如果只顾解题的数量,而不讲究解题的质量,想真正提高自己解题的水平是不现实的.通过反思,不但可以明辨解题过程的是非曲直,还能加深对数学概念、性质、思想方法的内化与掌握,从而提升自己的数学解题能力.本文以一个常见的问题为例,并最后升华到一道高考题,谈谈如何进行解题的反思.例1直线
Hal Matos, a contemporary mathematician, said: “The true part of mathematics is problem solving.” While it is necessary to answer a large number of mathematical problems in the process of learning mathematics, if we do not pay attention to the number of problems It is unrealistic to think about the quality of the questions so as to really raise the level of their problem-solving problems.With reflection, we can not only understand the merits and demerits of the problem-solving process, but also deepen the internalization and mastery of the concepts, properties and methods of mathematics so as to enhance Own math problem solving ability.This article takes a common problem as an example, and finally sublimates into a college entrance examination question, talks about how to carry on the reflection of problem solving.