函数的切线与极值问题不论是在课标课程,还是在大纲课程中,都是学习与考查的重点.但在教学实践过程中,笔者发现,很多学生这方面的学习比较吃力,掌握和解答不是很理想,特别是碰到函数性质的综合问题时,他们经常感觉无从下手.这样长此以往,对培养学生的数学素养是很不利的.有鉴于此,笔者根据自己的学习经验与教学实践,提出一个想法:“能不能在高中函数的导数教学过程中,对学生适当介绍高等数学的一些定理与知 The tangent and extremum problems of the function are the focus of study and examination both in the course curriculum and the outline course. However, in the process of teaching practice, the author finds that many students are more struggling to learn, master and answer in this regard. It is not ideal, especially when they encounter complex problems with the nature of functions, they often feel that they cannot start. This is the long-term, it is very unfavorable to develop students’ mathematics literacy. In view of this, the author proposes based on his own learning experience and teaching practice. An idea: ”Can you introduce some theorems and knowledge of advanced mathematics to students in the derivative process of high school functions?"