【案例背景】函数、方程、不等式之间有着密切的关系,这种关系在八年级第二学期第一章一次函数当中有了初步的体现。课本的侧重点是将一些函数问题转化为解方程和不等式,而对于如何应用函数的观点去看方程和不等式并没有多做说明。所以我想到了设计这样的一节拓展课:立足函数、方程、不等式之间的关系,重点研究用函数的图像及性质解方程与不等式.研究函数很重要的一个工具就是借助直观的函数图像.如果学生能够理解函数、方程、不等式之间的关系,那么在解决一 【Case Background】 There is a close relationship between functions, equations and inequalities. This relationship is initially reflected in the first-order first-order eighth-grade semester. The focus of the textbook is to translate some of the functional problems into solving equations and inequalities. There is not much explanation on how to apply equations to equations and inequalities. Therefore, I came up with the idea of ​​designing an extension class: basing on the relationship between functions, equations, and inequalities, I studied the equations and inequalities of the images and their properties of the used functions. A very important tool for studying functions is to use intuitive function images. If students can understand the relationship between functions, equations, and inequalities, then solve one