First of all, there is a very important question I want to talk to you about. I have received many inquiries about the postgraduate entrance examination. One of the most frequently asked questions about mathematics is that many students will say that they have a poor foundation in mathematics and are worried about what to do. Let's talk about this problem.
First, I have heard a lot of arguments about the basic problems of mathematics in postgraduate entrance examination, and they all emphasize the importance of the basic problems of mathematics. But to be honest, as far as mathematics is concerned, it is actually a better foundation. It doesn't matter if you don't. The most important thing is learning ability. It is often meaningless to overemphasize the foundation, because for individuals who want to take part in the postgraduate entrance examination, the foundation is the past tense. Since they chose to take the postgraduate entrance examination, does that mean they have no plans to give up? Anyway, whether there is a foundation or not depends on the test. It is a bad thing to overemphasize the foundation. Because, for some students who are not so rich in mathematics learning experience, if they worry too much about their basic problems, they will form negative psychological hints. Once you encounter some difficulties in the long process of brushing questions, it is difficult to avoid taking the so-called basic difference as a hint, which leads to discouragement or even giving up your ideas.
More importantly, as you prepare for the postgraduate entrance examination with a bad psychological burden, it is easy for you to go astray in math class. Why do you say that? Because the knowledge points in the postgraduate mathematics need to be systematically considered and summarized. Summarize the overall knowledge structure and logical relationship of a subject. In the face of this so-called "behemoth", you should be confident. If you are scared by one seemingly intensive knowledge difficulty after another, don't say that you want to pull out the logical main line of this subject from a macro perspective, maybe you don't even have the courage to insist on brushing the whole review book.
Finally, if you are too entangled in whether the foundation is not good enough, it is easy to do something useless for the postgraduate entrance examination by running back to chew on various college mathematics textbooks. Although these studies may be helpful in situations where you don't know when you may need them in the future. But after all, postgraduate entrance examination is a very efficient thing, isn't it? What I want to emphasize is that most exams are skillfully used, and practice makes perfect. In particular, selective examinations such as postgraduate entrance examination are not designed for so-called talented people. Its purpose is to select students according to the huge population base. For individuals, the results of the postgraduate entrance examination may be random, but put in a group is an expected value and its stability test.
Therefore, the most appropriate way to deal with the math exam is to grasp the logical main line, connect the test sites in series, and then break through one by one according to your own situation. The specific breakthrough method is that practice makes perfect.
So when you do any math problem, you must know which test center you are doing now and what is the general solution method of this test center. If you don't know where the corresponding test center is and what the problem-solving ideas (routines) are after completing the questions, it is a bit of a waste of time for such a purposeful thing as postgraduate entrance examination.
Personally, when I was reviewing for World War II, I had a deep understanding of the whole math routine of the postgraduate entrance examination, and I felt that I spent too much time on some details in the early stage. For example, I have brushed all the 660 basic questions, and I still don't understand why such a difficult question is still a fucking basis. It is the foundation only because it breaks all the knowledge points and then appears in the form of multiple-choice questions. But if you don't have a whole frame, it's like stepping on a stone barefoot, and you may not know which one will stab your acupoints. You still think that the problem lies in the stone itself, rather than examining your own meridians (knowledge framework).
Second, how to review the postgraduate mathematics? Well, after talking about psychological construction for such a long time, how to prepare for the math postgraduate entrance examination? I suggest breaking it down into four stages.
The knowledge framework is obtained in the first stage, but even after this stage, the most likely situation is that the framework is vague. It doesn't matter, stick to it.
At this stage, two reference books are enough, an exam outline and a review book. About five and a half books are enough for the whole postgraduate mathematics. Don't buy too much either. It's basically useless to buy it. Anyway, there is no time to watch it. The examination syllabus is very long and thin, published by the examination center of the Ministry of Education. You don't have to buy other outline analysis. I won't watch it if I buy it. It's a waste of time to read it.
The review book is Li Yongle's, Math One or Math Three. Buy it according to your own requirements. Although there will be some changes in the cover every year, the content feels similar, because after all, if the outline changes little, the mathematical encyclopedia that is completely based on the outline will not change. But in order to save worry, it is better to buy the latest version. I suggest that no matter whether the foundation is good or not, it is September, so just start with these two books directly. As for Tongji University's mathematics textbooks or other advanced mathematics textbooks, you can put them down because they are not compiled for the postgraduate entrance examination. You said that in order to cultivate mathematical sentiment, you don't have to choose them in the preparation stage of postgraduate entrance examination, right?
Still based on practicality. Similarly, the syllabus is a very thin examination center. If not, just use the review book directly. Just because the outline is thinner, I think it is easier to get the overall framework. We need to go through all the knowledge points in these two books and establish a general knowledge framework. Just looking at the outline, these nouns are definitely not enough. It is an inevitable process to follow the review book. But you don't need to be particularly detailed to walk through this. My personal suggestion is that if time is tight, you can analyze the knowledge in the book first. The level of this walk is probably, after reading the explanations and core examples of each knowledge point. If there is more time, examples can cover the answers behind and extract complete ideas and key steps. For particularly important examples, you need to solve them without looking at the answers.
If time is particularly tight, it is ok to spend this time quickly. As for the exercises after class, you can do them in the second stage. The first stage can be shorter, about half a month to three weeks, and it would be better if it could be faster. The main thing is to have a comprehensive framework, and specific skills will be honed to the second stage.
The second stage: break through the knowledge points one by one, do targeted training and hone every detail.
At this stage, it is a thorough review of every knowledge point in the book, from calculus to linear algebra to probability theory. According to the arrangement in the book, divide it into small knowledge points and understand the ideas and methods of each example. The after-school topics in the book are also done, and the schedule is made every day and in stages.
Because this stage is a polishing process, the schedule is longer, starting from mid-September and lasting for two months until 1 1. If the foundation is good, it will be enough by the end of 10, depending on your own confidence and feelings. Of course, I know that for most people whose basic IQ is as ordinary as mine, they will not become very powerful after this stage. In fact, this stage is the most difficult and unconfident time, because I feel that my knowledge is full of loopholes and every point is a weakness. Don't worry, it's normal, because it's the first step for you to comb deeply, just like combing your hair. The first time I want to comb neatly is the most painful time, because I often encounter knots. But fortunately, this time is over, and I can feel the refreshing feeling of combing for the second time in the future.
So at this stage, you must just hold your horses, relax and chew slowly, and don't worry.
Another thing to note is that since this stage is the longest, in order to prevent you from forgetting the previous one, you should pay attention to reviewing what you have experienced before every once in a while. I suggest you review what you reviewed last week at the weekend, and review every point.
And the funny thing is, every time you review, you will find something new, and every time you review, you will feel that the topic that was difficult before seems to be simple, even if what you learned in the past week seems to have nothing to do with what you learned in the last week. I think it's the divergence of thinking. The movement of the brain is just like the movement of the body, and each part does not exist independently. Of course, if you have a certain personal habit of doing problems, you must respect it and don't force yourself. For example, at that time, I couldn't sleep without doing calculus every day, which was simply sick.
After these two stages, you should make a summary, so that you can not only have a macro framework, but also go deep into the details to some extent.
If you don't feel sure enough, repeat some weaknesses in the second step, but at this stage, it should not take too long, just one or two weeks. Because you still have time to do such a thing in the future. As for the arrangement of each specific knowledge point, I don't recommend giving myself too detailed time planning. For example, myself, general linear algebra and differential equations feel better and are easy to use. Everyone thinks that simple probability theory is not very skilled, so I spend more time on probability theory than linear algebra, generally very little. Don't panic at this stage, and don't refer to your own arrangements with the rhythm of others, because everyone's situation is different. Now is the tempering stage, and it is always right to slow down. Unfortunately, many people give up halfway because they are not sure at this stage. On the other hand, after this stage, some people quit the game, and it's quite a sense of accomplishment to stick to it ~
Generally speaking, the schedule of the above two stages adds up to three months, of which the first stage is about half a month to three weeks and the second stage is two months. It will be completed at the end of1the beginning of1the month.
In short, no matter what method you follow, at the latest at the end of 10 or the beginning of 1 1 0, you must have a complete understanding of the coverage of the math exam. When you look back at the outline, you will know the general content of each test center, so that you can have a deep understanding to some extent.
The third stage
In the meantime, we need about three and a half books. Of course, for peace of mind, you can buy more books on other subjects. I really don't need any more.
The first is the real problem analysis.
This is a book, and then a set of real test papers, the content is the same as the last set, in a different form, that is, half a book.
There is also a basic 660 for special training.
Finally, a set of simulation questions. These books are really enough.
The third step: do several sets of real questions, find your own knowledge weaknesses, and then do special training for the weaknesses.
Yes, contrary to many people's recommendation, I suggest you do the real questions early. Because my personal experience tells me that real questions are the most effective practice resources. Some people will think that the real questions are too precious, only one set a year. It's gone when it's over. It should be precious and reserved for the last use. However, I will tell you that the real problem is not only done once, but I think it must be done at least three times to make a qualitative leap. Why do you have to do it at least three times? For the logic of the article, let's talk about it below.
Here I suggest taking out about three test papers and doing them from beginning to end at a time. To tell the truth, I believe that for most students, it is impossible to finish all the questions, not because time is limited, but because the knowledge points are not well trained. However, this time, the main purpose is to find out what you can't do, not what you are not good at. What do you mean, the big topic can't write a complete idea, and the small topic doesn't know the cause and effect. You can certainly find similar examples when reviewing the whole book, and then find the knowledge points in the whole book to understand the ins and outs of this knowledge point. If you don't feel confident, if necessary, you can combine the book "Basic 660" and draw relevant questions for special training. And the three sets of papers can basically cover all the test sites well. It is the best way to test the results of your first and second rounds of review with real questions and use them to check for gaps.
This process lasts about two weeks. So the remaining time to complete this is about one month to one and a half months. Of course, if you have more time, you can fill in the blanks in more detail. In short, you can brush 660 more questions, but this is not necessary. The real questions used at this stage,
It is suggested to replace the paper version with the book version. The version of the test paper is reserved for future use when brushing hands.
Step 4: Brush the real questions at least three times, and the more the better.
Why do you have to do it at least three times? Because the first time is to be familiar with the topic, the second time is to improve the calculation speed, and the third time is to avoid mistakes and improve the accuracy. If you have time, do it for the fourth time, and then you will have a systematic grasp of the whole math problem for the postgraduate entrance examination. If you can do this, you can probably try to predict the type of real questions, and you can almost turn a math exam into a half-opened book. Of course, having said so much is actually a word. Practice makes perfect. As far as time is concerned, the process of brushing the real questions takes at least one month.
Ten sets of papers are done three times, which makes 30 sets. It takes a month to set 30 sets of papers a day, not to mention it is impossible to do one set a day most of the time. Because finishing a set of test papers means that it will take you three hours to finish the test paper, and then it will take at least three hours to check the answers, analyze the wrong questions and understand the answer ideas of each wrong question. Of course, when you do it the second time or even the third time, your time will be shortened, but it will be reduced to three hours at most. Write the test paper, analyze the answers and complete everything.
So according to ten sets of papers, the time you spend on real questions is also: 6* 10+3*20= 120 hours. You spend four hours on real questions every day, and you have to work hard for a month. What's more, mathematics alone can do something else besides real problems. What else could it be? If you have reached a certain level of proficiency in real questions, you can change to a simulation practitioner. But don't start with simulation questions at first, because simulation questions are not real questions no matter how good they are, and there will always be different details. Just like the so-called high imitation and genuine products, if you use genuine products, you should think about buying imitation products. Don't think that you must finish the simulation. There is not enough time. Just polish the real question.
Again, repeatedly, brush the real questions. The first time was in 2002 when I began to brush the real questions (I don't remember when mathematics started). The current examination structure is to choose multiple-choice questions first and then fill in the blanks, instead of filling in the blanks first. ) Leave the test paper from 20 16, brush it to 20 15, and brush it again. Brush it three times and you'll find it's all a fucking routine. Of course, in fact, smart comrades can find routines without brushing for the third time, but you will be more familiar with it after brushing for three times. Brush the real questions for a month, about1mid-February. At this time, there is still about one to two weeks before the postgraduate entrance examination.
Third, the routine problem of postgraduate mathematics As I said before, postgraduate mathematics is a routine, a deep routine, and the kind that changes the soup without changing the medicine. But someone left a message saying that at least last year's exam was not a routine. I was shocked, too, and thought, maybe this year or two has suddenly been reformed. So I went to read the real question of Math III in last year's postgraduate entrance examination and found that it was actually a routine.
But why must there still be students who have participated in the postgraduate entrance examination who think that the one they took is not a routine? Well, I took the postgraduate entrance examination twice, and I once thought that the exam I took was more special than in previous years, but it was unconventional and unique. However, in fact, I feel that my test paper is not a routine student, because you have been deeply cheated. Just because I'm in this mountain. I am a little hesitant when reading this article. I don't want to share the math routine of postgraduate entrance examination so early. After all, it started in September, and many students didn't even finish reading the math book for the first time. Some people even want to give up Li Yongle's books and do other things. For such an impetuous classmate, I'm afraid it's too early to say that the routine may not be good. I think there is a shortcut to this road, so I can't review it well.
After all, personally, I didn't find it until the second year of the exam, and then I couldn't help patting my thigh and saying, I, fuck ... but it doesn't matter if I think about it carefully. The so-called routine is actually just that the types of questions in the postgraduate mathematics are fixed, the distribution is fixed, and even the method of solving problems is fixed to a large extent. Only a few test sites take the test, and the test can be semi-open when the real problem is solved. However, for those who have not laid a good foundation in the first two reviews, even if they find a routine, it is no use. Finally, the problem came out inexplicably. Whether they can get accurate final answers and get high marks depends on their practical problem-solving ability. This ability to solve problems depends on one question and one test paper. You know all the questions before the exam and all the routines that will appear on the test paper. If you don't have a solid ability foundation, it's no use. Because of the huge amount of calculation and tight schedule, even if it becomes an open-book exam, the difference in score distribution will not change much.
Mathematics for postgraduate entrance examination only needs a little IQ and a lot of diligent repetitive training. So how to solve the math routine of postgraduate entrance examination in the next month with diligent mode and optimal method? I'm not talking about shortcuts,
Instead, you must practice day after day in front of your desk, study room or library with pen and draft paper. This is the only way. Before entering this part of the review, I must emphasize that you should make sure that your last review is in place and solid. That is to say, you already have a complete knowledge framework and have a deep grasp of every knowledge point.