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(一)俞毅昆清华大学数学系学生学习数学最重要的两个环节是做题和思考。数学要学得扎实,必须对每个定义、定理有全面深刻的认识,而做题能帮助我们理解定义、定理的实质内容,这些内容往往是数学的精髓,也是考试必考的知识点。所以,我建议上完新课就去做些基础题,从简单到复杂,从易到难,题量不要多,能让你对所学的知识有个比较理性的认识就可以了。但对于综合题,你要清楚地知道每个题目考查的知识点在哪,做这个题目你用了什么方法,什么样的题型还能用这种方法,还能用什么其他的方法解决……。并把你做的题进行总结和分类。一定要记下你做错过的和你感觉很新颖的题目,这是你考试拿高分的保证。
(1) Yu Yikun The mathematics students at Tsinghua University study mathematics in the most important two aspects: doing questions and thinking. To learn mathematics solidly, we must have a comprehensive and profound understanding of each definition and theorem, and doing questions can help us understand the substance of the definitions and theorems. These are often the essence of mathematics and are also the points of knowledge for examinations. Therefore, I suggest that you should do some basic questions after finishing your new class. From simple to complex, from easy to difficult, not many questions, you can have a more rational understanding of what you have learned. But for the comprehensive question, you have to clearly know where the knowledge of each topic is examined, what method you use for this topic, what kind of questions can use this method, and what other methods can be used to solve... .... And summarize and classify your questions. Be sure to write down what you missed and what you feel is new. This is your guarantee of high scores on the exam.