Analysis of the mathematical "proof by contrary" theory and its application in middle school mathematics
数学“反证法”理论的分析及其在中学数学中的应用

摘要

反证法是中学数学教学的一种常见证明方法，主要应用于数学解题，具体根据已知条件对其进行推算与证明，帮助学生梳理解题思路，寻求正确的解题答案。不仅如此，反证法对学生的逻辑思维以及探索能力培养起到积极影响。为此，本文简单阐述反证法理论要点，侧重探究反证法在中学数学中的应用，以供参考。

Abstract

Proof by Contrary is a common proof method in middle school mathematics teaching, which is mainly used in solving mathematical problems. It is specifically used to calculate and prove it according to known conditions, helping students to sort out their problem-solving ideas and seek correct answers to problems. In addition, proof by contradiction has a positive impact on the cultivation of students' logical thinking and exploration ability. To this end, this paper briefly expounds the theoretical points of proof by contradiction, focusing on the application of proof by contradiction in middle school mathematics for reference.