Teacher Tsinghua Pippi's name.

Last Friday, at the invitation of teacher Li Yanfang, Cui Huayu's younger brother from Tsinghua came to Pippi's live studio. In the live broadcast room, my little brother shared his experience of marking papers without borrowing, learning or understanding (fog) in a super Versailles way, and completely ignored everyone in the live broadcast room and taught them test-taking skills and learning experience.

I feel it.

Regarding "I participated in the marking of the 20021session", Pippi chose this eye-catching title to prove the Excellence of his little brother. Because the marking process and grading standards are strictly confidential, we all have a unified answer to the marking problem that everyone cares about and why graduate students can take part in marking: every year, Beijing selects some professional teachers in Tsinghua or Peking University, and mathematics students can rest assured of their majors. Moreover, there are strict second and third judgments in marking the postgraduate entrance examination, so don't worry too much about the score.

Cui Huayu, currently majoring in applied statistics in Tsinghua University, took the postgraduate entrance examination in 2020 and took part in the mathematics marking of the 202 1 postgraduate entrance examination. Undergraduate study in the Department of Mathematics of Beijing Forestry University. According to Pippi's interview in advance, my little brother applied for the college entrance examination as a mechanical major. After entering the school, he gradually found himself more interested in mathematics and physics, so he taught himself advanced mathematics, postgraduate entrance examination and competition, and transferred to the mathematics department in his sophomore year. As for the experience of postgraduate entrance examination, it is not so easy for Cui Huayu of the Department of Mathematics. World War I lost and World War II succeeded. In addition to his interest and talent, Cui Huayu's persistence and hard work also make his success traceable.

Little brother, the situation of World War I is actually a pity. At that time, he majored in applied statistics in Tsinghua University, which was actually more popular than finance. After all, artificial intelligence is very hot now, and the difficulty can be seen. Mathematics 125, specialized course 1 12, with a total score of 369. It takes 390 points to enter the second interview. The next year, I had the courage to take the exam again. On the one hand, I got good grades in specialized courses, and passed the fractional line of (1 10) by two points. On the other hand, I found some shortcomings in the first year of review. Decided that the Second World War would be in May of the following year. I finished my graduation thesis (at the end of May) and began to prepare for World War II review. However, due to a lot of graduation, I didn't start preparing for the World War II exam until July.

Review schedule of World War II

Actually, my brother's preparation timetable is not universal, because the English-English major has not given the reference books and review scope of professional courses in official website, and it needs to invest most of the time and energy, so the corresponding political and English review time is compressed to about 20%. In the early stage, I spent 3-4 months laying the foundation in math and professional classes, leaving enough time for the later stage to attack politics and English. Later, my brother spent 35% or even 40% of his time on politics and English.

Daily schedule. It is not universal, but its thinking can provide reference. Get up at 10 or 1 1 in the morning, because it's lunch time immediately after getting up, and you will feel sleepy after eating, so go to study first and eat at the wrong peak (4 or 5 pm). Continue studying at six or seven in the evening. 10 for dinner. My little brother can study all night in the study room here in Beijing, so he goes back to his residence at around one or two or 12 every day, studies politics and English before going to bed, and finishes his day's study at three or four in the morning. My younger brother particularly emphasized that although it is different from the general work and rest, he will definitely ensure 7-8 hours of sleep and ensure energy before he can study efficiently. Besides eating and sleeping, it is learning, which is actually very monotonous. Although it is a shared room, I am very excited to study with my classmates every morning, and I feel that "this world is not worth it" every night. Little brother smiled, this is a very common psychology, don't worry too much.

Time arrangement of postgraduate entrance examination subjects. As mentioned above, there are no reference books and reference ranges for English majors in official website. In the specialized course, my brother bought the books of famous teachers from all over the country at 985/2 1 1 and then brushed the questions. Professional courses will basically take 40%~50% of the time; Postgraduate entrance examination for mathematics, because of the experience of competition before, the speed of doing problems is slightly faster, so although mathematics accounts for about 20%~30% of the time. I didn't spend much time on politics and English in the early stage. At the end of August, I began to prepare for postgraduate politics and made a political mind map. Brother suggested that it is necessary to do mind mapping in politics, which can help sort out multiple-choice questions. 165438+1At the end of October, my little brother started his English assault. He set aside 4-8 hours for English assault every day. Little brother said he was under great pressure.

Dry goods! ! ! Mathematics experience of postgraduate entrance examination

Read the whole book first. Review the whole book my brother used at the beginning, and when he did the whole book, he didn't write the whole book exercise when he came up. Even if I have a good foundation in mathematics before, I will review the previous knowledge points again. When I review it again, I will automatically output some familiar knowledge points in my mind, but there are also many unfamiliar places in those knowledge points. For these unfamiliar places, I will look for books first. I didn't have a chance to look for videos in books, but I still went to Zhihu to find some related things prepared by my predecessors. These are all written in the knowledge points in front of the book after summing up. This is an active learning process, rather than watching some videos and passively accepting knowledge points. Active learning is a very important point in mathematics. With these knowledge points summed up by active learning, do the exercises at the back of the book. At this time, most problems are not problems, but they are inevitable. How to overcome it at this time? The younger brother mentioned: "Although everyone's foundation is different, this method is still worth learning: I will not give up directly or copy the answers directly when I encounter problems without ideas. I will put the answers and questions together and read them line by line. For example, I will analyze the conditions in the question, from which the first line of answer is derived. This is a process of reverse learning and active learning. Through this learning method, I will sort out the conditions of the whole question according to the answers. After this reverse derivation, I will cover the answer and look at the question. When I saw this question, I didn't memorize the answer, but wrote aside the knowledge points that can be derived from the conditions in the question, integrated the knowledge points, and then got the answer to this question through integration. I think this is a better method, so I will share it with you here. "

Brush questions and full-truth simulation. Little brother has done almost all the well-known workbooks in the market that everyone has heard of, such as 660 questions, 880 questions or various 1000 questions. He can do about three or four problem sets in about two months. Under such high-intensity training, 10 began to simulate the problem in June, and used the simulated problem for limited time training. Brother stressed: the real question is not limited, but it is useless. The postgraduate entrance examination is 3 hours, so at the beginning, my younger brother will spend 2 hours and 50 minutes doing simulation. After about a week, the time is increased to 2 hours and 40 minutes, and then about 7~ 10 sets of questions are done every other week, and the time is further compressed to 10 minutes. Of course, this time cannot be compressed indefinitely, otherwise it will violate objectivity. Finally, I basically compressed this time to 150 minutes, about two and a half hours, and did a set of questions, which not only improved my proficiency, but also exercised my mentality. Strictly limited, the simulation score is the real level at this time. Many students use real questions to simulate, but you may have done the real questions of the whole book or some exercises. If you get 135/ 140 on the real question, you may have an illusion that you can get this score if you go to the examination room. Because those questions are generally done by everyone and can't really represent your level, you need to limit the simulation and use some difficult simulation questions. The result of training at this time may be the real level now.

Keep the feeling of doing the problem. Before the exam in February, 65438, everyone felt that their math was all right. Teacher Xiao Xiurong's four sets of papers came, and it was time to write their own English composition. At this time, I feel that time is not enough. Why should we allocate time to mathematics? This view is completely wrong. This time can reduce the time for math, but still give him time, especially two days before the exam. We can't just recite political topics or English compositions. The younger brother strongly suggested: "Everyone usually does a lot of questions, and you will definitely encounter problems that are not difficult but have a lot of calculations. This kind of questions can be summarized in chapters, for example, one chapter summarizes two questions and does it again before the exam, without looking at the new questions. This process can help you avoid unfamiliarity. Although the previous mistakes may be repeated, and the large amount of calculation may slightly affect the mentality before the exam, it is still necessary to train the skilled process. As we all know, the calculation of math problems in 2020 is very large. The training before the exam made me not very afraid of the questions with a large amount of calculation in the exam, so I will introduce them to you here. "

Next are some questions from netizens answered by Xiao Ge:

1. How to improve the calculation ability and problem-solving thinking ability?

What should I do if I get the problem without thinking, but with thinking and miscalculation?

Computing ability can only be improved through a lot of practice and training. There is really no good way, just need to do a lot of training, make a summary after training, and then do it for the second time and the third time. As for problem-solving thinking ability, for example, how to solve a proof problem or how to test a basic score is better? You must first look at the conditions in the question. A proof question must meet four or five conditions. At this time, you should separate these conditions and read them one by one, then write what you can think of according to these conditions, and then integrate these ideas. The above is based on the premise of having certain problem-solving ideas.

How can I improve my problem-solving thinking ability and get the basic points when I encounter a problem that I can't solve at all? Put the answer and the question together, deduce the condition according to the answer, and then think about how this condition came to this answer. This kind of training can help you sort out your problem-solving ideas.

In the usual training, we should pay attention to the more basic things, and we must grasp some small scoring points, so that when we meet the proof questions, we can write something related to the conditions in the proof questions. Don't worry, this may give you a little extra points when marking papers, which is better than not writing at all.

2. Grading and problem-solving sequence

As I said before, the completion can't be disclosed, because it involves the content of marking the postgraduate entrance examination. Brother's own order of doing the questions can be shared for your reference. Basically, it started with a small problem. As we all know, in the newly reformed postgraduate entrance examination, the number of fill-in-the-blank choices has increased, and the scores have also increased. If you miss a question, you will miss 5 points, so focus on the small question in front first. The small question is not as comprehensive as the big question, so making a small question first does not have much influence on your mentality. Of course, as in 2020, it is more difficult to fill in the blanks. Of course, it is necessary to fill in the blanks first, but at this time you can skip some questions that you can't do, and then go back to do them after you finish the whole paper. Here, my little brother shared his experience in the examination room (interesting, shared with everyone): "In 2020, I didn't enter that state at first because of my poor mental state. In that year, I had the choice of 14 to fill in the blanks. I can only do 6~8 questions. I finished thinking at that time, and this year 14 was only half written. I looked at my watch, and the tense atmosphere in the examination room really broke my heart. Then I turned around and thought it was wrong. I have been in World War II this year. If it is World War I, I can be smarter and leave without doing it. But I'm already in World War II, so old. If you leave directly, the pressure will be even greater. With this in mind, I put away my watch. Because I care about time during training, I usually spend 40 to 50 minutes filling in the blanks, and finally I will leave about 40 to 50 minutes for another check. But during the exam, I found that I only did six or seven questions in forty or fifty minutes. At this time, I was so flustered that I put away my watch and didn't look at the time. I think I'll put all my eggs in one basket. As long as I pass the normal exam, I will win. I don't care how many points I get in the final exam. If I can pass the exam, I have defeated myself. At that time, my heart was half cold, but I gradually felt it. Of course, there are also problems that I can't meet. For example, in 2020, I had no idea when I came up with the proof question. I skipped the big questions in two minutes, and then I went to do the problems of line generation and probability theory. The problem of probability theory is still well done, and it is also a feeling to do the problem of line generation. After I feel it, I will go back and fill in the blanks with my previous choices. I found it much easier than when I first went to the examination room. At this time, I basically completed the fill-in-the-blanks I chose before. When I finished, I found that there was still half an hour left, and the most difficult problem still needed to be solved. What should I do at this time? I belong to the kind that I usually do well in math and want to get high marks in exams, so I will spend a lot of time on those difficult problems, resulting in losing points on simple questions, so I learned a lesson. There are still 30 minutes left in the postgraduate examination room. For the question with a score of 10, I think if I can get a score of 5 in the first question within 5~ 10 minutes, I will take it. If I can't get it, I will give up decisively. Because I really felt it in front, I also got 5 points. Because of the pressure in the examination room, I really can't think of the second question. With these lessons, I resolutely chose to check the previous questions, and I also checked about 7~8 points of mistakes in the previous questions. I did give up those five points, but I found 7~8 points, so it was worth it. So the order of doing the questions is step by step. If you encounter a problem that you can't, skip it first and don't die. "

3. How to evaluate whether you have made progress in mathematics?

The best way to evaluate whether there is progress in mathematics is to make a time-limited simulation through the exam. Refer to the above method: you can shorten the time once a month to see if you can finish it on time at the end of the month and keep the score stable. If you can finish on time and keep your grades stable, you can actually evaluate your progress in mathematics.

4. There are too many mistakes in doing real questions, how to solve them psychologically?

First, relax. Students who can ask such questions are definitely not wrong. Because there are too many mistakes, I won't think about how to solve them psychologically. My mind has been hit. I don't have to think about how the real question can be so wrong. What I want at this time is how to understand the real question. As my brother mentioned before, I will go to the study room in high spirits every morning, and when I come back every night, I feel that the world is not worth it. It is normal not to have too many psychological fluctuations in your heart. There are too many mistakes in doing real problems, so there is no need to focus on solving real problems and think about how to solve them psychologically. The process of postgraduate entrance examination should be simple, concentrate on solving learning problems, and don't think about psychological problems and how to solve them.

5. Brush the questions &; Sort out the wrong questions

As mentioned above, on the wrong topic, my brother's original words were: "Although I am a boy, when I was taking the postgraduate entrance examination, the marker was really colorful. Because I may brush a question three or four times, I will mark it with different markers, which will save you a lot of time. "

6. I didn't have a thorough grasp of the previous test sites.

I understood at that time, but what if I didn't do the problem later?

The reason why I didn't master the test center thoroughly may be that I just watched the online class once, and then I felt that I was familiar with this part of the knowledge points, and then I found that I couldn't do the problem. Just another student asked, "How to balance online classes and brushing questions?" The two younger brothers replied together: "I suggest that you listen to online classes in a targeted manner. For example, if you are a real question, you can go and see Mr. Li's real question online class alone. For some of the previous knowledge points, when you were listening to the online class, you felt that I really mastered these knowledge points at that time, but I couldn't do the questions. But think about it, do you really have it? Or did you passively accept the content in the video? Many students feel that they watch videos for a long time every day in the early stage of postgraduate entrance examination and make a lot of notes, which is also vivid. Finally, I got 70-80 points in the postgraduate entrance examination, and then I took my postgraduate notes and sent them to my circle of friends for everyone to see. Seeing that I worked so hard, I got 70 or 80 points after the postgraduate entrance examination. I actually want to ask you, are the things in your notes really integrated into your own thinking and problem-solving ideas? Or did you make a good note and put it there? So I hope everyone must face up to this problem. Those notes in the online class are only the result of your passive learning. "

7. Can the difficulty be predicted this year?

The little brother smiled when he saw this question: "I can only say that it was the afternoon when the math postgraduate entrance examination ended." I can tell you what the difficulties are this year. Whether it can be predicted depends on the teachers' ideas. "However, if we divide the years by size, 2020 and 20 18 are difficult years, so the score of 202 1 is so high that the topic is relatively simple. Therefore, the high probability problem in 2022 is more difficult and the amount of calculation will not be small. Therefore, it is suggested to review well this year, brush more questions and do limited training. It is difficult to affect the mentality in the exam, and the problems that may be confused will not be solved, but limited training can help simulate the exercise mentality, so it will be much better than not doing simulation in the exam.

Little brother also answered some personal questions of barrage:

1. Which is easier to score, linear generation or probability theory?

"This question depends on your own review. In terms of difficulty, I think probability theory is a little simpler. Line generation may be more difficult because it is more flexible, but it is easy to score if it is more routine. In fact, the more difficult point of mathematics should still be the high number. Let's review the two parts of line generation and probability theory. The problem is not very big. "

2. Multivariate differential functions are a bit difficult to understand.

"Differential calculus of multivariate functions can be mapped to other directions if you don't understand it. You should not only learn this piece, but also the things behind it. Actually, I suggest you make a comparison between multivariate function differential and univariate function differential. After comparison, such as differentiable, differentiable and partial differential, list these together, then judge which conditions can be derived from which conditions and which conditions cannot be derived from which conditions, and write counterexamples on them in turn. In this way, you will have a deep understanding of this part and help you learn some knowledge in the future. When you don't understand, try to integrate your knowledge. In the process of integration, you will take the initiative to learn, such as finding some materials to expand. Read more and you may have a deeper understanding. "

3. Do you suggest giving up the problem of proving sequence and the problem of mean value theorem?

"This is not recommended. Let's take a slightly more difficult problem as an example. The proof of sequence is nothing more than monotone bounded principle, which is used to prove. The problem of the mean value theorem is actually for you to construct. Maybe this part is passive learning for you. You didn't take the initiative to find some examples and analyze how you solved the problem. For example, we can use monotone bounded principle to solve the problem of sequence, so how do you prove monotonicity? First of all, if they are all positive, you can take their ratio; The second method is to compare the differences. The third one can be done by function method. These methods are routine and need to be summarized by yourself. When you encounter these questions in the examination room, you can write them directly and try to write them instead of leaving them blank. For example, monotonicity is bounded. You can sum up these conventional methods with scales or basic inequalities, and then encounter those problems. If you can solve it by these conventional methods, that's the best; If you can't solve it, such as during the exam, I suggest you give up at this time. Of course, suggesting that you give up doesn't mean giving up the normal exam, but suggesting that you give up a quiz and then get more points or check other things. This is a way to teach you. "

Finally, use my brother's original words as the conclusion ~

If this live broadcast has some experience worth learning, you can learn from it; From the lesson, everyone should try to avoid it. I hope you get good grades in the postgraduate entrance examination in 2022, especially in the postgraduate mathematics in 2022. Thank you all.

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This article is original to me.

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