本课是高三复习均值不等式应用的一个探究性教学案例 .全课从学生司空见惯的纸盒提出问题 ,自始至终地围绕着“纸盒的体积最值问题”进行分析、比较、探求、创新 ,采用师生互动的方式 ,引导学生自主分析、自主探索、自主决策、合作纠正 ,逐步完善问题的解决途径 ,充分体现学生 This class is an inquiry teaching case for the third grade review of the application of the mean inequality. The whole class has asked questions from the common paper boxes of the students, and has analyzed, compared, searched, and innovated around the “value question of the volume of the carton” from beginning to end. The interactive method guides students to analyze independently, explore independently, decide independently, cooperate and correct, and gradually improve the solution to the problem, fully embodying the students