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不等式的类型很多,证明方法灵活多样,牵涉的知识面广,代数、几何、三角各科的基础知识都可以联系上。因此,这一章的教学对于培养学生的观察、比较、选择、判断能力,逻辑推理能力及综合运用数学知识解决实际问题的能力,作用很大。下面谈谈我在这一章教学中培养学生能力的一些作法和体会。 一、设问质疑。在关键的时候,设计恰当的问题,可以激发学生的兴趣,打开学生的思路。例如这一章的第一堂课,叫学生量量口杯的高和底面直径,发现它们是相等的。为什么要这样设计呢?告诉学生,在学完本章之后,就会明白其中的道理。又如,
There are many types of inequalities, proving that the methods are flexible and involve a wide range of knowledge, and the basic knowledge of algebra, geometry, and triangle can be linked. Therefore, the teaching of this chapter is very useful for cultivating the ability of students to observe, compare, select, judge, reasoning, and comprehensively use mathematical knowledge to solve practical problems. Here to talk about my teaching in this chapter to develop students’ ability to practice and experience. First, ask questions. At a critical time, designing the right questions can stimulate students ’interest and open up students’ thinking. For example, the first lesson in this chapter asked students to measure the top and bottom diameters of the cups and found that they were equal. Why design like this? Tell the students that after learning this chapter, they will understand the truth. Again,