数学是一门理性思维的科学。可以说,数学的核心是思维。思维品质是指个体思维活动特殊性的外部表现,它包括思维的严密性、思维的灵活性、思维的批判性、思维的深刻性和思维的敏捷性等品质。中学是培养学生数学思维能力的最佳阶段,作为高中数学教师,应抓住学生思维发展的最佳时期,做好思维品质的培养工作,使学生的思维得到更好的发展。因此,开发高中学生的思维潜能,提高思维品质,具有十分重大的意义。函数作为高中数学的主线,贯穿于整个高中数学的始终。函数的解析式是函数表示法中最重要的一种方式,在解函数题中强调定义域对解题结 Mathematics is a science of rational thinking. It can be said that the core of mathematics is thinking. The quality of thinking refers to the external manifestation of the particularity of individual thinking activities, which includes the qualities of rigorous thinking, flexible thinking, critical thinking, profound thinking, and agile thinking. As a high school mathematics teacher, middle school should be the best stage to cultivate students ’ability of thinking in mathematics. Students should grasp the best period of their thinking development and cultivate their thinking quality so as to make students’ thinking develop better. Therefore, developing the thinking potential of high school students and improving their thinking quality are of great significance. Function as the main line of high school mathematics, runs through the entire high school mathematics. The analytic function is the most important way in the functional representation. In the solution function problem, it emphasizes the domain definition