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“直线和圆的方程”是初中数学课本最后一章,它广泛地联系到初中平面几何和代数的许多知识。本章的复习应当作为初中数学总复习的一个重要组成部分,看作是初中数学知识的一次综合练习。由于本章是用形数结合的方法——解析法研究数学问题,这对初中生来讲是研究方法上的一次飞跃,使学生牢固地掌握这种研究方法,为他们即将进入高中学习一般二次曲线作好研究方法上的准备。基于以上认识,在设计复习课时,我考虑到以下三点: (1)尽可能把初中阶段有关知识贯穿进去。
The “Linear and Circular Equations” is the last chapter of the junior middle school mathematics textbook. It is widely connected to many knowledge of junior high school plane geometry and algebra. The review of this chapter should serve as an important part of the overall review of junior high school mathematics, and it should be regarded as a comprehensive exercise of junior high school mathematics knowledge. Because this chapter is a method of combining mathematics with mathematical analysis, this is a leap in research methods for junior high school students. This will enable students to firmly master this research method, as they will soon enter high school to learn The curve is prepared for research methods. Based on the above understanding, when designing the review class, I considered the following three points: (1) As far as possible, the relevant knowledge of junior high school should be included.