最优化与利润最大化问题是初中数学常见的综合类问题。要解决此类问题,需要对方程、不等式以及函数的知识进行整合,对实际背景中的数据和数量关系进行归纳提炼,探寻其背后的数学本质特征,这样才能获得解决此类问题的一般方法。本节内容为第一轮基础知识板块化复习之后进行的专题复习,教学设计主要定位于有一定知识积累的中等及以上水平的学生。本专题复习课时设计为两课时,第1课时 Optimization and profit maximization is a common class of junior high school mathematics problems. To solve such problems, the knowledge of equations, inequalities and functions needs to be integrated, and the relationship between the data and the quantity in the actual background is summed up to explore the mathematical essence behind it, in order to obtain the general method to solve such problems. In this section, we review the topics after the first basic review of the basic knowledge. The instructional design mainly targets middle-level and above students who have accumulated some knowledge. This topic review class designed for two classes, the first class hours