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导数是高中数学选修课中的重要内容,在解决数学问题时极为方便,特别是利用导数求函数的单调性、极值、最值、和切线的方程等方面的问题已成为历年高考的热点之一.但是笔者在教学过程中发现很多学生在应用过程中经常会出现一些认识上的偏差,致使解题失误.下面,笔者就几年来教学过程中遇到的学生所出现的一些错误加以阐述剖析.
Derivatives are an important part of high school mathematics elective courses. They are extremely convenient when solving mathematics problems. In particular, the use of derivatives to find the monotony, extreme value, the most value, and the tangent equation of the function have become a hot topic in the college entrance examination. A. But in the course of teaching, the author found that many students often have some misunderstandings in the application process, resulting in misunderstandings. Below, the author analyzes some of the mistakes students have encountered in the teaching process in the past few years. .