随着新课标高中数学教材的推广,微积分知识已经逐步渗入到高中数学中.微积分内容的“下放”对于学生理解和研究函数的单调性、最值等带来了切实有效的帮助.然而,令人惋惜的是高中数学教材对于微积分内容的介绍流于粗疏,如极限、连续性的严格概念都没有引入便匆匆引入导数,“附近”之类不严谨的词汇俯拾皆是却又不加说明,……这些不足之处若归因于课时所限,尚能理解,但如果教材或教辅中出现误导学生的知识性错误,便让人 With the popularization of mathematics teaching materials in high school curriculum, the knowledge of calculus has gradually infiltrated into high school mathematics. The “decentralization” of calculus content brings practical and effective for students to understand and study the monotonicity and value of the function However, it is regrettable that high school math textbooks for the introduction of calculus content in the past, such as the limit, the strict concept of continuity are introduced without the introduction of hastily introduced derivatives, However, if these shortcomings are limited to the time limit, we can still understand. However, if there is a misleading knowledge error in the teaching materials or supplementary teaching materials,