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Analysis of three real problems in mathematics in 2000
The score line of the postgraduate entrance examination is determined by the most difficult one every year, which is the lowest score line. Four courses for postgraduate entrance examination are English 100, politics 100, mathematics 150, and major 150. Individual majors don't take math, but they take two majors, both of which are 150. Suppose that mathematics is the most difficult year, with a minimum score of 75, then the professional course line is 75, and English politics is 75/ 1.5=50, which is divided into four courses. Different schools and different majors draw different lines. Generally, the preparation time for postgraduate entrance examination is one year, from the next semester of junior year to the last semester of senior year, and the exam in early January of the following year is two days, two times a day. ?

1. Don't be afraid to choose a school, but don't apply for a major that only recruits a few people.

When choosing a school, some students are timid and hesitant, and the standard drops again and again, or they choose a famous university at the beginning of review, but they waver when they formally register, and enroll in a second-rate school. As a result, they didn't even go to that inferior school in the end. Why? Whether you admit it or not, once you lower your requirements for choosing a school, the time and quality of review will definitely decline. In fact, it is almost the same to choose a school of any grade. When choosing a good school, the review time will go up unconsciously, so when choosing a school, try to choose a good one, especially in today's flood of graduate students. I don't think a graduate student from a bad school is worth studying. ?

Since you are preparing for the postgraduate entrance examination, you must learn to give up. Try not to attend classes that you can't attend, try not to participate in activities that you can't attend, and give up everything that affects the postgraduate entrance examination (except self-relaxation time). ?

Everyone is not a child. What's wrong with skipping classes several times? What if I fail the exam? What if the scholarship is gone? I won't go to class meetings and grade meetings. What happened? What's wrong with being notified? What's wrong with not going to class dinner? Now that you have decided to take the postgraduate entrance examination, everything is a cloud, and careful review is the king. This is a very simple truth, but many people don't understand it. I took the initiative to fail three courses for the postgraduate entrance examination, and threw away the first-class scholarship and a bunch of honorary certificates for my freshman and sophomore years. I dare say, with the average person's IQ, if I don't skip classes a lot, I want to enter a famous school.

Don't be greedy, buy a pile of reference books. Reading a good book five times is better than reading five good books once! ?

I spend the most time on math. In the two months of summer vacation, I spent all my time (from morning till late at night) on mathematics, and the effect was immediate. A month before the exam, many people haven't finished reading the review book, but my math review book (Li Yongle's) has been completely read three times, "Analysis of True Questions" has been completely read three times (some chapters have been read four times), and "4000" recommends Li Yongle series, which is really classic, especially the ideas and misunderstandings of candidates' problem solving summarized in it, which should be studied repeatedly. ?

The most important thing in reviewing is to calm down and understand it slowly. ?

Personally, I don't want to go to remedial classes, especially those full-time English math classes. At most, I want to go to a political sprint class! For math and English, it is better to calm down and understand slowly when listening to the teacher on the stage. Believe me, your understanding is definitely much deeper than what the teacher forced you to fill in. Moreover, there will be inertia after reporting for work. I always thought the teacher would help you review, but I didn't review myself. Don't be too superstitious about your predecessors, and don't care too much about what people around you do. It is important to ask yourself what kind of study you belong to, and then make a plan according to your own situation. Never blindly follow others' experience and progress, which will not only disrupt your normal study plan, but also affect others' mood.

5. Pay attention to learning methods (I'm only talking about the most important points, and I'll talk about them later)?

Mathematics: lay a solid foundation and be good at summing up. Every math reference book should be read 2-3 times. What are the methods to solve each question type, and which method to use under what conditions? You must sum up and learn by heart, so that you won't make mistakes in doing familiar questions in the examination room. If you have really experienced the tense atmosphere in the postgraduate entrance examination room, you will fully understand why I emphasize this point so much. ?

English: I only got 6 1. If I dare not mislead you here, I will say less. Never do "reading XX", it is definitely a waste of time. Do the real questions and recite the words that appear in the real questions. The real question is king! It's no exaggeration to do the real question 10 times! Memorize the words every day, but pay attention to what you didn't remember before reviewing every day. It is recommended to use the real problem analysis compiled by Zhang Jian (Yellow Book). When reading, we should pay attention to the trap of the questioner and study the real questions in depth. When reading, you will find that every question is so similar. ?

Politics: Postgraduate politics = Ma Zhe+Ma Jing+Mao Zong+Deng Lun+Shijing+current affairs+meditation+modern history. Ma Zhe and Ma Jing focus on understanding, while Mao Zong Deng Lun focuses on memory, and the remaining two scores are relatively small. In fact, Mazer Ma Jing is definitely a classic. After you really understand the real Marxism, you will find how wonderful it is. I remember that during the postgraduate entrance examination, after lights out every day, I always wanted to discuss Marxism with my roommates, trying to explain what happened in daily life with the theory of Ma Jing. Needless to say, the effect is; I won't say much about the revision of "Mao Deng Lun". One word: back.

6. You need to know what is the most important thing in the whole postgraduate entrance examination process: the initial test results, especially the three subjects in the public course. ?

Now many students ask me about specialized courses, how to buy test papers and even retest information, how to contact the tutor in advance and so on. I think these students made a fatal mistake: putting the cart before the horse. I think the results of the initial test are the most important, especially for students who take the cross-school and cross-regional test. The most important thing is the results of three public courses, because the results of these three courses are not moist, and whoever reviews well will get a high test. Specialized courses contain a lot of water. I once saw a post: review for three weeks and be admitted to graduate school. At that time, I thought: this man is simply the reincarnation of Einstein! After a careful look, I am relieved: Math 70+ English 40+ Politics 50+ Specialized courses 145+ Total score 320, so I don't need to explain it. So if you are cross-school, cross-regional or even cross-major, please remember this: you can rely on three public courses, especially math. I have always thought that if you want to be admitted to a good major in a prestigious school like Tianda Structure, you must do it: you must cross the line in English and get high marks in mathematics. Of course, those admitted to ordinary schools or our own schools are not included.

16 is a big obstacle on the road to postgraduate entrance examination:

1. That big and thick math review book (be sure to pay attention)?

Solution: It's best to chew it off before September, and not more than 10 months at the latest, otherwise it will be very passive, remember to remember. ?

2. Memorized and forgotten English words?

Solution: It's best to take some spare time to recite words every day. I suggest memorizing words before going to bed and reviewing them immediately after getting up in the morning. Very clever. ?

There are always unexpected situations, and you often can't finish the plan (be sure to pay attention)?

Solution: First, let's see what the situation is, whether there are too many plans or too many distractions-the ultimate solution: renting a house off campus, turning off the mobile phone and hiding it in the market. ?

4. Do you like to make excuses for yourself not to study by yourself (this is very dangerous)?

Solution: scold yourself hard in your heart-how many excuses there are! Do you still want to take the postgraduate entrance examination? Teach yourself again, and then you can get a few more points, and you will be more sure of success! ?

5. Can't you get up at 7 am?

Solution: put the alarm clock on the table, away from the arm. ?

6. An unreasonable teacher who specializes in graduate students?

Solution: Say hello to the teacher first and say that you want to take the postgraduate entrance examination. If he doesn't care about you, don't care about him either. If it's big, there's nothing to be afraid of. ?

7. The study room is restless and inefficient (which is dangerous)?

Solution: this is mainly a problem to be solved, and it is necessary to "read only the books of sages". ?

8. blindly follow the trend and lack opinions (be sure to pay attention)?

Solution: Make a good plan and strictly implement it. If you can't do it, give up your research partner and find an empty classroom to study alone. ?

9. Underestimate the difficulties you will encounter when you take the postgraduate entrance examination (adjust your mentality)?

Solution: there is a saying: people who take the postgraduate entrance examination live a life worse than pigs and dogs. Although I don't think so, I even miss that simple life, but this sentence at least shows that as a graduate student, there are great pressures, many difficulties, monotonous life and, in general, hard work. ?

10. Unwilling to give up something that seems useful but useless (this is very dangerous)?

Solution: think about why you want to take the postgraduate entrance examination and what you need for it. In fact, the postgraduate entrance examination only needs two things: 1. Review carefully 2. University diploma (it is said that a degree certificate can be exempted). How's it going? It's simple. ?

1 1. Do not pay attention to the combination of work and rest (must pay attention)?

Solution: Compulsory weekly rest time (half a day is appropriate, you can do whatever you want during this half a day, don't review, don't even think about reviewing). ?

12. Lack of relaxed and happy mood to meet every self-study?

Solution: Learn to comfort yourself: I hit myself again and learn by myself! Teach yourself again, and then you can get a few more points, and you will be more sure of success! ?

13. Not good at reasonable prediction, leading to futility (this is extremely important)?

Solution: Although some questions appear in reference books, they will not be tested at all. For example, there are simple examples of difficult knowledge points, and the remote test center I just took last year ... I remember that I took a big Fourier series test in 2008, but 15 only had one multiple-choice question and one fill-in-the-blank question, so I decided not to take the big Fourier series test in 2009, but the big questions must be popular every year. So I didn't read the Fourier series at all, and the focus was on the expansion or summation of power series. As a result, I won't say much, and there are 09 real questions to prove it. This is the power of reasonable expectation! ! ! ?

14. Ignore the real question and do the simulation question (this is very dangerous)?

The real question is always the most worthy of our study, whether it is the real question of mathematics, English, politics or professional courses, because the propositional thinking of simulation questions is always very different from the real question, and you will know it when you do it. ?

15. The temptation of decent work?

If the job is really good, sign it. After all, there are so many graduate students now, and the country is still expanding enrollment. If the work is average, it's better to take the postgraduate entrance examination. ?

16. Lack of determination and fighting spirit to be admitted?

Solution: Think more about how to return to China in rags after being admitted, and think more about how to suffer hardships after being admitted _ haha, learn to comfort yourself!

Review public classes?

(1) Mathematics?

1. Let's talk about the review process first (I only used the whole series of Li Yongle, 4 books)?

I spent the whole summer reading 1.5 times textbooks+review books (really inefficient ~ ~). After school started in September, I spent the whole morning reviewing math. While reading the review book, I wrote down all the questions that I thought I could get into the exam but couldn't do, and I will read them soon. ?

5438+ 10 read the review book three times in the middle of October, and then began to read the real problem analysis. What I want to say is that the most classic book in Li Yongle series is the classification and analysis of real questions, and the comments behind each real question are really classic. Remember to look at the Gauss formula part of multivariate function integral calculus. Lao Li said in his comments that this type of problem has not been tested so far. This sentence caught my attention, so I seriously thought about how to solve this problem. As a result, this year's high number finale is such a problem ... _?

Let's talk about "classic 400 questions" first, which is actually 10 set of simulation questions. It took me about a month to do it twice, and I will feel strategically placed after finishing it carefully, but students who have no time can not watch it. The key to mathematics is to pay close attention to the basic problems, and I am afraid that the difficult problems will not be done correctly. ?

Finally, it is "beyond 135". Don't be frightened by its name. In fact, there are still some basic topics in it, which are divided into 70 or 80 topics. The difficulty is close to the real question, and some of the questions in it are highly recommended, especially the hot topic every year (such as curve and surface integral). ?

2. Tell me more about my review experience?

Mathematics must lay a good foundation (by what? Read the review book at least twice! Really understand and understand the core chapters in the book! Form the knowledge framework of each chapter! Namely: What is this chapter? What kind of questions will be given? )?

Mathematics must be good at summarizing (how to summarize? What is the method of solving each question type and which method to use under what conditions must be summarized and memorized. For example: when to use cylindrical coordinate transformation? When to use polar coordinate transformation? Under what circumstances do you use spherical coordinate transformation? )?

Mathematics must repeatedly study familiar but wrong questions (because these questions are the key to your score, if you have really experienced the tense atmosphere in the postgraduate entrance examination room, you will fully understand why I emphasize this point so much. )?

Mathematics must practice the speed and accuracy of doing problems under high pressure (because time is tight and pressure is high in the examination room, and you must trust the level of proposition experts in the Ministry of Education, who will definitely get you stuck in a certain problem. If a problem takes 5 minutes to work out, do you want to keep thinking or do the next one directly? Under what circumstances do you continue to think? When to skip this question? What if this happens in two or three consecutive lanes? If you don't practice at ordinary times, you will become more and more anxious when you arrive at the examination room, and then you will have a mental breakdown. The lessons of the students around us have fully proved this point. I suggest you start to do "400 questions", do it strictly every morning, don't go to the toilet in the middle, and try to create an atmosphere in the examination room. ?

Mathematics must be practiced every day, and it's easy to get rusty if you don't practice for a day, even if the last time is tight (I suffered a lot this year, in fact, I reviewed well before last month. When you are lucky, you can get a score of 1 10 on the "400 questions", which is generally around 95 ~ 100, while the professional courses were progressing at that time. As a result, in the examination room, I found myself unfamiliar, and several questions stuck me several times. There was not enough time, and then my brain was short-circuited ... and I lost 15 points in vain. Comrades, you must learn my lesson! ! ! ?

Math must predict the test questions before the exam (I spent a night sorting out the test sites of each question in the 12 real question, and then compared it, hehe, is it very regular? Believe it or not, I have predicted at least six test sites for the nine major math problems this year.

3. The highest realm of mathematics for postgraduate entrance examination: (Comrades admitted to famous schools must not be too far away from this realm, otherwise ...)?

When you see a problem when doing a problem, you can quickly lock in the solution method, determine the correct solution idea, and quickly calculate the correct result! ?

(2) English?

PS: The English score is only 6 1. I dare not mislead you too much. Write less. The following English parts are for reference only. ?

1. Let's talk about the review process first (I used Zhang Jian's "Analysis of True Questions"+"Remember Words Like a Duck in Water"+"30 Articles before Exam Bug")?

English review started late. I began to recite the words in the real questions in September and put those words that I can't remember into my notebook. I take them out to review every day. It is best to spare half an hour to an hour to remember words every day. ?

It was not until June 5438+00 that I began to read the real question. I did it twice before and after, mastered the idea of proposition and the setting of common traps, and practiced the translation of long and difficult sentences. ?

165438+1In mid-October, I began to practice some new questions and translations (all real questions), and at the same time began to try to write English compositions. During this time, my daily review mode is basically reading today and writing composition+new questions+words the next day. ?

2. Tell me more about my review experience:

English words must be reviewed in time, not only by memorizing new words, but also by reviewing the previous ones (it is said that Spark's thick word book is good, memorizing words according to the memory curve, and there is a timetable in that book, and it works well step by step according to his plan)?

English crossing the line mainly depends on reading+composition 70 points, but other questions should be understood and practiced (reading 40 points, composition 30 points account for 70% of the total score, and translation 10 points are the hardest to get, so it is ok to practice with real questions before the 7-choice-5 exam)?

The best information in English is "Analysis of Historical Zhenti"! Do it again! Carefully understand the mystery of proposition angle, trap setting and context! English reading for postgraduate entrance examination is the most troublesome thing. Personally, I think there are two answers to many questions, one is heavier and the other is lighter. How can I choose the right answer? Fully understand the trap setting method of the proposer through repeated practice)?

English review time can be flexibly mastered, but you must watch it every day (learning English is the most taboo "fishing for three days, drying the net for two days", you can't be strict with yourself, you will give up halfway, and without the spirit of hard study and unshakable perseverance, you will definitely give up all your efforts! )?

You must write your own templates for English composition (about half a month before the exam, you should also read the composition for a period of time at this time, collect some beautiful sentences, especially the common sentence patterns for commenting at the end, and summarize one or two templates. You don't have to memorize the template. Every article is written with its own template, and you should be able to recite it skillfully after writing the template for four or five times. I summarized two templates at that time, one was philosophical. A picture of social phenomena-suitable for description and extension, each template is about 150 words, especially in the third paragraph of the comment. I only left half a sentence blank on the template, and the rest were memorized in advance. I just filled in a few blanks on the basis of the examination room template, saving a lot of reading time.

English problem-solving order: composition and reading must be done first in the examination room, and then translation (I personally write large and small compositions first, then read, then choose 5 from 7, then gestalt, and finally translate). The advantage of this is that when you first enter the examination room, you have a clearer mind and more time. Write the composition that is the easiest to score first (provided that you only need to fill in a few empty templates according to my method). In the final analysis, these two items are both reading, and doing them together is more emotional. Moreover, in case you spend too much time reading, you can get the same option in the cloze at the back, and you won't get too much thanks for the score (note: you can get 2.5 points if you get it all, and sometimes it won't exceed 4 points if you spend 65,438+00 minutes doing it carefully). Translation (especially the translation in 2009) is entirely for people with a score of 75 or above. Most people just browse, pick and write. However, it should be noted that the translation of some years is also very simple, so don't lose points in vain. ?

3. the highest level of English for postgraduate entrance examination: (comrades who work hard for more than 70 points must not be too far away from this level, otherwise ...)?

I have the ability to translate long and difficult sentences quickly. Seeing the reading topic, I can quickly break the trap of the questioner and choose the correct answer. Can correctly grasp the meaning of the picture, and use the template to quickly construct a composition with complex sentence patterns, uncommon words but proper use, beautiful calligraphy and neat volume. ?

(3) politics?

1. Let's talk about the review process first (I used Ren Rufen's sequence 1, sequence 2, sequence 3, 20 questions in 20 days, Bo Wen's pre-test bet, Haicheng's pre-test bet)?

I began to watch politics from June+10 in 5438. I bought a copy of Sequence One and spent five weeks reading it for the first time. ?

Then I did Chen's "2000 Questions" and found that I forgot all the previous ones, so I had to spend another month reading and doing the questions. ?

By the middle of 65438+February, I began to look at the knowledge framework and current affairs politics of Sequence III.

On June 5438+ 10, the pre-test compositions of the major remedial classes began (the last day 10 is more political time, and only political scores are the fastest at this time)?

2. Let's talk about the review experience:

Don't think that the sooner you review politics, the better. Because the high score of politics is the freshness of those knowledge points, but it starts too late to review them fully. It is best to formally review in September. ?

Politics depends on in-depth understanding, and "sequence one" is always the most important, no matter which stage you review (except before the exam 10 days) (you can only talk about memory on the basis of full understanding, politics can't be rote-learned, and you must know Ma Zhe and Ma Jing deeply. Marx's works are full of connotations. When you learn it, you will find that Marx is really great. Don't laugh. ?

Political objective questions are the key to getting high marks (everyone must practice objective questions a lot, subjective questions are generally not much different, but subjective questions must be practiced properly, just practice your hands with real questions)?

Politics can't just do questions for the sake of doing questions, but to master knowledge points (after finishing some multiple-choice questions, you must go back to "sequence one" and review the knowledge points reflected in the wrong questions again, which takes time but is very important)?

The ability to analyze materials and the ability to organize language when answering analytical questions are also very important. (For analysis questions, try to figure out the answer method repeatedly. Find out the skills and ideas. In fact, the answer to the analysis question is very skillful. )?

Problem-solving skills of political analysis questions: to solve analysis questions, we must first write out the basic principles embodied in the materials, and then analyze them with the materials. It is best to divide 1234, which is clear and clear, helps the teacher to find the main points of your answer, and then write an analysis and summary (praise the good in the material and criticize the poor in the material). ?

We must pay attention to this year's "hot spots" after the political outline comes down. Namely: 1, new points are added this year! 2. Revise this year! (Those changes that are limited to words don't need to be investigated! 3. Knowledge points added or modified in previous years but not yet tested. ?

The answer sheet must be neat, and it is recommended to use a blue gel pen to answer (because blue has a calming effect, especially when the teacher faces a pile of black handwriting paper for a long time, it is very annoying. At this time, a neat blue handwriting paper was suddenly produced, with correct principle and clear organization. With 1234 listed above, the teacher will definitely feel bright at the moment. Take my own personal experience as an example. When I took the political exam, a female invigilator kept watching me answer the questions. I am surprised that she will come to see a question twice after I have done it. Later, when I finished my political exam, the teacher came over and smiled and said to me, it was a good exam. I said, no, I think I didn't do well in the exam and my handwriting was poor. The teacher said: you don't know what other people's papers are drawn. The key is that the pen color you choose is good and the words are neat and organized. Later, after the score came out, I felt that the invigilator's evaluation was absolutely penetrating. I scored 38 points for objective questions and 35 points for subjective questions?

3. The highest realm of postgraduate entrance examination politics (it is necessary for comrades who work hard for more than 75 points, and must not be too far away from this realm, otherwise ...)?

I love Marxism, deeply understand the basic principles of Ma Zhe and Ma Jing, and can use these principles to explain some phenomena in daily life. We should be familiar with the important knowledge points of General Manager Mao and Allen, pay more attention to current events and understand the current world situation. And it's well written. ?

Fourth, review of professional courses?

Due to different schools and majors, there are great differences. Be flexible according to your own situation. If you are admitted to our school, ordinary schools will offer remedial classes. Just sign up ?

Below I only give some advice to my younger brothers and sisters who have been admitted to foreign schools:

1. The review progress of specialized courses should be consistent with politics. Students who take cross-disciplinary exams can review as fast as math. There is no need to review too early, because the task of reviewing math and English is very heavy. ?

2. The real questions must be taken seriously! ! ! (You know, teachers who give questions in specialized courses are also very lazy. Laziness is human nature, haha! Nine times out of ten, the annual examination paper will contain several original questions from previous years. At the very least, the test center will remain unchanged almost every year unless there is a new teacher?

3. Learn to grasp the teacher's proposition ideas from the real questions (from which angle does he like to put forward, which knowledge points he likes to test, and how to set traps for candidates. These are the most basic requirements for reviewing specialized courses. Be sure to study the real question in depth, not just do it once?

4. Learn to appropriately increase or decrease the review time of specialized courses according to the situation (if you feel that the later review is almost the same, you can appropriately allocate some time to politics or mathematics. After all, according to my observation, most people are overwhelmed by mathematics, especially the super-thick review books, which are natural enemies on the road to postgraduate entrance examination. If you suddenly find that you haven't reviewed your professional courses well in the later period, you can adjust some time appropriately. I belong to this category. In the last month, you suddenly found that the structural mechanics exam was quite difficult. What should I do? It takes half a month to make up for it, and as a result, I was unfamiliar with mathematics during the exam, and I felt a little neglected?

5. About the second interview?

1. The re-examination process of most schools:?

The re-examination in most schools is generally divided into three parts: written examination, interview and English proficiency test. The written test is probably a paper for everyone to take the same major and do a professional course in class. Interview means that 3~5 teachers take turns to ask a student some professional questions or choose a group of questions to answer. English proficiency test is generally listening or speaking, and it may also be listening+speaking. ?

The first day of the second interview is generally qualification examination, then the second day is physical examination (usually going through the motions), the third day is professional written test+English test, and the fourth day is interview. After the interview, the results are usually available the next day. ?

2. What should I pay attention to in the second interview?

1) Take the second interview seriously! That is: be prepared carefully! High scores are brushed everywhere! Especially students who cross schools or majors must be cautious. ?

2) The second interview is subjective! A school with a flat bowl of water cannot be found on earth! If you are from a foreign school, it is normal for a dozen or even twenty students to come down from the second interview. More peaceful _?

3) For students who take cross-disciplinary exams, teachers usually make things difficult for you on professional issues. He wants to prove to you that my industry is not so easy to progress, and it is full of connotation and technical content, which can not be solved by taking a professional course in a few months. Get ready for the blow! ?

4) Be polite during the second interview, and greet the teacher after going in and before coming out. No matter how the teacher hits you, never argue with the teacher. ?

5) In any case, teachers like students with development potential. Don't say "I won't" when you meet a question that you won't (this is normal), and then just stand there! In that case, you will be in trouble! You can say something related to this problem, to put it mildly! Teachers usually don't embarrass you. ?

6) The atmosphere during the second interview is very important! Don't freeze the atmosphere, or you will probably be unhappy! Teachers don't like people who are not good at talking. ?

7) In fact, teachers are very approachable, so don't scare yourself! Ha ha laugh ...?

8) Interview is the most important part of postgraduate re-examination, accounting for a considerable proportion. ?