高中数学相对于其他学科,拥有较强的逻辑性与规律性,这时数学方法的运用就显得尤为重要,就思维惯性而言,解决问题往往从正面入手,然而难免会遇到一些思维障碍或者困难,这时就需要另辟蹊径,从逆向思维的角度来对待问题,而反证法作为典型数学解决问题的方法之一,在几何和数论中的运用尤为广泛.一、“反证法”概述反证法的运用有一套规律的模式和方法可循,一般来 High school mathematics has stronger logic and regularity than other disciplines. The use of mathematical methods is particularly important. In terms of the inertia of thinking, solving problems often starts from the front, but it will inevitably encounter some obstacles in thinking or Difficulties. At this time, we need to find new ways to deal with problems from the perspective of reverse thinking. Anti-evidence is one of the methods used to solve problems in typical mathematics. It is particularly widely used in geometry and number theory. I. Application of anti-evidence method There is a set of regular patterns and methods to follow, generally