How to review high numbers efficiently?
The first is the choice of teaching materials and reference books. Remember, the textbook must use the Tongji version of Advanced Mathematics, either the fifth edition or the sixth edition. If you use your own advanced mathematics book, you must change it to Tongji's, because this book is a classic version in both arrangement and content. As for the review materials, I personally recommend Li Yongle's "Review Encyclopedia", "Analysis of Real Questions over the Years" and "660 Questions on Mathematical Basis". These books are not only good for the author, but also accumulated through the word-of-mouth of many candidates. According to past experience, you can save a lot of time in the selection of teaching materials. \x0d\ \x0d\ followed by the viewing method. My personal suggestion is: not every knowledge point in the textbook should be read, but you must refer to the exam outline. If the outline of that year hasn't come out yet, use last year's, and the content won't change much, and then check for leaks and fill in the gaps after the new outline comes out. The knowledge points in the outline must be learned and cannot be left out. Don't forget that exams over the years are based on outlines. There are four requirements in the examination syllabus, namely, mastery, understanding, knowledge and understanding. The first two items are more important, so we must thoroughly understand the knowledge points of "mastering" and "meeting". The topics of major topics over the years are generally beyond the scope of these two requirements. My suggestion is: take the outline as an example, first mark the knowledge points marked "proficiency" and "knowledge", and then try to break through one by one. For example, in 2009, the knowledge points of Lagrange theorem for postgraduate entrance examination belong to the category of "knowledge". If they can't be used, they won't be proved. \ x0d \ x0d \ So, how should we treat textbooks? From primary school to university, teachers should repeatedly emphasize the importance of textbooks, as well as the high number of postgraduate entrance examinations. Read not only, but also carefully over and over again. There may be some students who take the postgraduate entrance examination. I read the textbook carefully, but the result is still very poor. What's the problem? I want to say that textbooks are not only used for reading, but also for research. You didn't do well in the exam because you didn't study the textbook carefully! \ x0d \ x0d \ So what is meticulous? When you finish learning the textbook, it will be marked with many things, and it will be messy, not brand-new as if you had never seen it. Many examples in the textbook are classics, so be sure to speak thoroughly. After-class exercises should also be done carefully, even if they are only done on toilet paper, you should also mark an answer in the book. Whenever you finish a chapter of exercises and find mistakes by comparing the answers, it is very important to quickly analyze the reasons for the mistakes. Some people say that there are too many exercises after class, so you should choose to do them, but I think the Tongji version of the exercises after class is very classic, far better than the reference books on the market, and not as simple as you think. Many exercises seem simple to you, but there are many problems in doing them. As for the definitions, axioms, theorems and formulas in the book, you must be handy. Find out a few points instead of memorizing them. For example, the word biggest has been known since high school, but do you know its definition? You might say, definition is useless! This is where you are wrong. When you feel that a problem is vague and you can't do it, definition is your fundamental starting point. \ x0d \ x0d \ is doing the problem again. Learning mathematics, the foundation is very important, but on the other hand, if you want to get exam results, you still have to accumulate by constantly doing problems. When writing a counseling book, it is best to have a detailed plan. Of course, planning is also skillful, instead of making a general plan for yourself and completing one chapter every day, as some friends do. Because the content and difficulty of each chapter are different, you can't generalize, otherwise it will easily disrupt your review plan for other subjects. After all, the postgraduate entrance examination is not just about taking a math test. Here's my plan: for example, in the first chapter, I'll give you a sense of the difficulty of this chapter, how many pages there are, how many days to finish it, and then decide how many pages to finish every day. Also, make plans to prevent unexpected accidents, and you should be generous. Don't think it takes time. A good plan will make you get twice the result with half the effort in future review. \x0d\ \x0d\ Also, you must prepare the wrong problem book, because it is far from enough for you to do many problems at once, which requires you to copy down the wrong problems, classic problems and important problems you encounter in your daily practice, mark them in different categories, read and study repeatedly, and write down your own experiences. I suggest using a red pen as a marker, because the red pen is not only eye-catching, but also visually stimulating. After the second time, after the third time ... slowly, you will find that, before you know it, there are no knowledge points that can stump you.