First, multiple-choice questions answering skills
There are still many ways to choose when doing multiple-choice questions. Commonly used methods are: substitution method, exclusion method, graphic method, reverse reasoning method, counterexample method and so on.
Substitution method: that is, substitute a specific number for an alternative answer, and if it conflicts with the hypothetical conditions or well-known facts, it will be rejected.
Algorithm: The given condition in the stem is an analytical formula.
Graphic method: it is suitable for the case that the given function has certain characteristics in the stem, such as parity, periodicity or that the given event is two events, and it is particularly simple to do it with graphic method.
Exclusion method: exclude three, and the fourth is the correct answer. This method is suitable for the case that the given function in the stem is an abstract function.
Inverse inference: The so-called inverse inference is to assume that one of the four selected answers is correct, and then do the inverse inference. If the obtained result conflicts with the question setting condition or the well-known correct result, the alternative answer is rejected.
If you find that neither method works in the exam, you can also choose the guessing method, with at least 25% accuracy.
Second, fill in the blanks to answer questions skills
The answer to the fill-in-the-blank question is yes, just give the final result when doing the question, and there is no need for derivation. Correct answer is full score, wrong answer or no answer is 0, no deduction.
This part of the topic is generally a calculation that requires some skills, but there will be no complicated calculation problems. The difficulty of the topic is comparable to that of multiple-choice questions, and it is also moderate.
* * * Fill-in-the-blank questions are 6, generally 4, with line generation 1 and probability 1, which mainly examines three foundations in the mathematics of postgraduate entrance examination: basic concepts, basic principles, basic methods and some basic properties. When doing this 24-point problem, you need to carefully examine the problem and calculate it quickly, and you need comprehensive knowledge as a guarantee.
Third, the problem-solving skills
To solve subjective problems, we must learn to give up problems that we can't do. Generally, the thinking time of each question should not exceed 10 minutes, otherwise the problems of probability and linear algebra will easily be solved. Don't delay the next 20 ~ 30 minutes for a topic.
The answer is subjective, and sometimes the answer is not. We should be able to see the questioner's examination intention and choose the appropriate method to answer the questions.
The correct answer to the calculation problem depends on the accumulation and mastery of various calculation methods at ordinary times. For example, the methods and steps of finding the maximum value of binary function, the calculation methods of curve integral and surface integral and their relationship with multiple integrals, Green's formula and Gaussian formula, the calculation method of multiple integrals and some special conclusions (such as the symmetry of integral region and the parity of integrand function) need to be very familiar with.
Proof questions are difficult for most candidates, so some simple proof questions will get very low marks in the exam. The mean value theorem (differential mean value theorem and integral mean value theorem) is the most commonly examined proof problem, followed by the proof of inequality in the question type, but there are many methods, but there are still chapters to be found. This requires candidates to pay more attention to the types of proof questions and their proof methods in peacetime.
Matters needing attention in answering mathematics subjects are summarized as follows:
1) Arrange the answer space reasonably and try not to skip steps when answering questions, because each step is divided step by step.
2) Arrange your own answer order reasonably, and don't waste a lot of time on questions with small scores, which will not pay off.
3) Give up what you should give up, adjust your mentality as soon as possible, and believe that what others can't do well is likely to be done well; If you don't have problems yourself, others may not be able to have problems.
2 How to cross the line in postgraduate mathematics
The first stage: reading textbooks, mainly advanced mathematics textbooks, and doing calculus exercises after class from March to June. Linear algebra can be properly read in textbooks. Personally, I think it is of little significance to refer to textbooks. Li Yongle's books are too detailed to read textbooks. Probability theory can be read directly from the whole book or other guidance books. The probability textbook (Zhejiang University Edition) can be used as a reference book. You can have a good look at the formula derivation inside, and the rest can be seen from the whole book.
The second stage: the first round of review begins after July, that is, reading the whole book very seriously and systematically, from the perspective of high number, line generation and probability (you can review one subject at the same time or review one subject all the time. Personally, I suggest reviewing a subject all the time. You can watch the video or not. If you watch the video, you can choose Tonga Phoenix if you have a weak foundation and Zhang Yu if you have a good foundation. It depends on the individual. About mid-September, I finished reading the whole math book in two and a half months. Then start to do the problem. You can choose Zhang Yu 1000 or 660 questions. Many questions need not be bought. Mainly know how to do it. Personally, I prefer 660 questions. I will add 50 questions every day and check the answers, so I can do 660 more questions in about half a month.
The third stage: 10 months later, enter the second round of review, the second round of review is mainly to check for leaks, the so-called leakage is that the first round is not very good, can not remember, 660 miles will not be a topic. In the second round of review, you can use Zhang Yu's Gao Shu 18 to cooperate with Zhang Yu's video, and the line generation will continue to brush Li Yongle Encyclopedia to cooperate with Zhang Yu's 9 lectures. Probability theory can be directly used by Zhang Yu's 9 lectures. The second round of review will go on very quickly, and it will take about 1 month to finish the review. After the second review, you should master the framework of the knowledge system and most of the knowledge points.
The fourth stage: June 1 10 enters the real training, and we will review a lot. We can do a set of questions one day and check the answers. (It is suggested that you don't write the real question on that real question, but use a notebook or A4 paper to review the knowledge points you didn't know before. You can also print a standard answer sheet and do it together with the answer sheet). Please train the real questions in strict accordance with the time of postgraduate entrance examination, and don't do them separately, which will not be effective. The real question is very important and precious. At the beginning of 2002, it was generally 15. So fast people can brush real questions once every 20 days, and slow people can brush them for a month. After that, please check the missing knowledge points and make notes. It is recommended to choose "Zhang Yu's 30-year complete answer to the real question".
The fifth stage: during the first 10 days of the last month, you can do calculus problems in the textbook to train your calculation ability, or you can find some other simulation papers to do.
After 65438+February 10, you can start to do the real problem for the second time. The second time was quick. Please still use A4 paper or notebook to do the questions.
In the last week or two, there has been a set of things called "Hegong University has exceeded five sets of papers" and "Hegong University has created five sets of papers". Personally, I think these two sets are the best among all published simulated volumes and simulated volumes of postgraduate institutions. In particular, the five sets of volumes created by NTU * * * are the closest to the real questions of the postgraduate entrance examination, with the closest difficulty and high reference value. Once, this volume also played the original title.
3. How to learn the postgraduate mathematics?
First, don't be anxious to start reviewing the postgraduate mathematics.
Many candidates begin to do problems in the early stage of review, hoping to summarize the key and difficult points of review through the questions, and then return to the textbook for key review. In fact, this method is not desirable. This method can help candidates to strengthen the focus of knowledge in the sprint stage of review, but in the basic stage of review, candidates are advised to do the questions in a hurry.
Because there are many basic and conceptual knowledge points in postgraduate mathematics, and some comprehensive questions are derived from the basic knowledge points, candidates can get twice the result with half the effort as long as they know and understand the basic concepts, formulas, theorems and other basic knowledge before doing the questions, which is conducive to review.
Moreover, being eager to do the questions often has a high error rate, which affects the confidence of candidates in doing the questions, will dampen the enthusiasm of candidates and make the review progress stagnate.
Candidates should review the basic knowledge points once or twice before doing the questions, so that they can test their mastery of the knowledge points through the questions and strengthen their memory of the knowledge points through doing the questions.
Second, don't think about problems that you can't solve, and don't be too busy seeking answers.
Many candidates have a habit. When doing a problem, when you encounter a problem that you can't solve, you are eager to look through the answers. It is better not to do such a problem. Once candidates give up thinking and only seek answers, they will not get good grades.
Mathematics for postgraduate entrance examination emphasizes the process of thinking. Through simple concept theorems, various topics can be extended, but they are all the same. As long as candidates really understand and master the basic knowledge points, they can solve even difficult problems.
Candidates blindly pursue the correct answer and ignore the thinking steps in the process of doing the problem, which can be described as throwing watermelons and picking up sesame seeds. Even if you know the answer to this question, when you meet the next similar question, the examinee still can't answer it.
When encountering a difficult problem, candidates should spend time thinking, thinking about the point of the problem, the content to be examined, thinking about the thinking of the questioner, and further reviewing the knowledge involved in the exam, so that through a series of analysis and thinking, they can easily win similar questions next time.
Third, learn to summarize the answering skills in the sea of questions, and don't do it blindly.
To a certain extent, the review of mathematics for postgraduate entrance examination is composed of questions made by candidates themselves, and only exercises can verify the effectiveness of the review of mathematics for postgraduate entrance examination. However, in the face of thousands of questions, how can candidates skillfully improve the speed and efficiency of solving problems by doing them?
In the review of postgraduate mathematics, many of the thousands of questions that candidates come into contact with are similar, but the numbers are different and the statements are different. Therefore, candidates should not blindly do the questions, do not pay attention to summary and induction, and blindly asking questions will only increase the review pressure.
Therefore, while doing the questions, we should be good at summarizing and inducing the questions, so that when candidates encounter a certain question again, they know which method to use, what the steps are, and have a set of fixed problem-solving ideas. This can basically improve the speed and efficiency of solving problems.
Fourth, choose the correct review materials in the review, and don't throw away the textbooks.
Candidates often ignore the importance of textbooks when choosing review materials. In fact, teaching materials are the foundation, and the test sites specified in the syllabus all come from teaching materials. Therefore, textbooks are the basic review materials for postgraduate mathematics. Candidates often pay too much attention to the real questions and simulation questions over the years, and often ignore the importance of textbooks. If the examinee doesn't turn over the textbook carefully several times when reviewing, it can only show that your basic knowledge is not solid. In the initial stage of review, you should read the textbook at least twice and master the basic knowledge points carefully. In the later stage, when the knowledge points are vague, we must open the textbook to master the basic concepts again and strengthen our memory.
4 Postgraduate Mathematics Review Resources
First, all the information about Mr. Li Yongle. These should be carefully studied and studied by ourselves.
The second is the whole book review, which is actually not good, but after you finish the basic study, you always need a book to help you sort out your knowledge and test sites.
Third, Hefei University of Technology's five sets of questions and basic clearance 660 and 660 are only multiple-choice questions and fill-in-the-blank questions. In the basic stage, you can consolidate your knowledge, but it is actually a bit difficult, so you read the review book and do it again. The correct rate of doing the questions is obviously improved when your skills and knowledge are firmly mastered.
Third, review suggestions First of all, what I want to say is repetition. I don't know if you have heard the saying that 7 is a magic number. If you repeat a thing seven times, it will be deeply imprinted in your life. Although I didn't read a book seven times during the postgraduate entrance examination, I didn't read it at least three times. This kind of repeated memory can keep you from going blank in the tense examination room. Besides, repetition can deepen your understanding. Although you have pondered something carefully the first time, you will find that you have a clearer understanding and clear thinking the second time. Repetition is an effective method in math and politics classes.
There is one thing I want to recommend to you. I downloaded a calendar for postgraduate entrance examination from the internet, which is in tabular format. At the top, you can fill in your goals for this month. In each box below, you can fill in the plan for the day, as well as the time and content of viewing. Cross it off or tick it when you finish, and reward yourself when you overfulfill it. In this way, writing down our own arrangements will not disturb our plans when we encounter temporary accidents, which will allow us to have a good plan for our time.
Finally, the problem of remedial classes. Personally, I think it is necessary to attend remedial classes in the process of preparing for the postgraduate entrance examination. If you don't apply for remedial classes, you will find it a bit boring to attend self-study classes every day, and you can adjust it by going to class occasionally. Moreover, the teacher is experienced after all, which will guide his review.