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Advanced Mathematics Test Questions and Answers
Advanced Mathematics Test Questions and Answers

1, the f function is defined as the largest integer not greater than x, 0.

2.y=ax+b is perpendicular to Y = BX-A, and ab is greater than 1.

3. There are n students in the three pizzas, the first two N students all participate in the distribution, the third one has two students who do not participate in the distribution, and classmate A all participate in the distribution. What is the share of this classmate?

4,416 inch 64 4 scale size

52679 proportional dimension a

6. Multiples of 4,6,7 in1-400 4

Key 7)

8, k 2 = 4k-5 and the proportional size d of 5.

9, /2 and /2 scale dimension d

Pay attention to two aspects of the new GRE mathematics review method:

The first aspect is the memory of commonly used words in GRE math test questions. Even a simple math problem, if you can't understand the meaning, you won't do it. This is mainly reflected in the long application questions, which are purely for understanding almost every year. The mathematical knowledge of the topic itself is extremely simple, and the key is that candidates need to be able to abstract the topic into a mathematical model. In view of the fact that there are not many mathematical materials on the market, I recommend Chen Xiangdong's mathematics tutorial books here. There is a summary of commonly used math words in the appendix, so it is no problem to read more before the exam. Of course, there is a lot of information on the internet, so it is no problem to find something about word summary.

The second aspect is the need for care. As far as my personal experience is concerned, more than 90% of the mistakes in the math part of GRE are caused by carelessness, and the remaining 10% are caused by other reasons, such as not understanding the meaning of the question or misunderstanding the meaning of the question. ETS always has many pitfalls in math problems, so be careful when doing it, especially the 15 problem, because there is an incomparable option, so be especially careful. Another classic trap is whether the figures given in the title are proportional, that is, whether there is the word drawtoscale. This trap has also been tested many times. Don't just be quick when you do the problem. If you have time, it will be much better to check it properly. Personally, I suggest you finish the calculation in 15-20 minutes, and then check 1-2 times, provided that you have no cross-regional plans.

Development: Review Guidance for Advanced Mathematics Postgraduate Entrance Examination

I. Basic stage

Postgraduate entrance examination mathematics examines the comprehensive application of basic knowledge, so basic knowledge is particularly important. Many students have a misunderstanding when reviewing, thinking that I can do the difficult problems well and solve the simple problems. Actually, this is not right. If you don't master the basic knowledge firmly, you will find it more difficult to review, and even simple' problems' will be found in the later stage of review. This is the result of poor mastery of basic knowledge.

This stage, that is, from now until June, is the review time of the basic stage. This stage is mainly based on textbooks and exercises. The purpose of doing problems at this stage is to consolidate the basic knowledge, not to do problems for the sake of doing problems. The review of our postgraduate mathematics is divided into several stages, the first is to lay a foundation, the second is to comprehensively apply basic knowledge to solve problems, and the last is to improve proficiency. It is conceivable that if you don't master the basic knowledge firmly, how can you use it comprehensively?

At this stage, candidates should not be more progressive than other students, nor should they simply pursue quantity. For them, it will be more useful to read it completely to the extent that they can master all the knowledge they have read, and it will be more useful than reading it three or four times. Therefore, at this stage, they should not compare the progress, and strive to master every knowledge point firmly and know the basic content, applicable conditions and error-prone points of every theorem formula or method.

Second, the strengthening stage.

July-September is the intensive stage, which is the comprehensive application of basic knowledge. At this stage, candidates should improve their comprehensive problem-solving ability and form a complete knowledge system. During this period, candidates mainly do questions, and master the questions to be tested in each module and the solution methods of each question. At this stage, the mistake that candidates are prone to make is that they feel that they have mastered the problem-solving method, but they have let go of the calculation problem. It is out of the question. Postgraduate entrance examination mathematics requires candidates to complete the calculation of the specified amount within the specified time. Therefore, if you miss all the calculation problems, it is even more impossible to improve your calculation ability.

Third, the improvement stage.

Candidates have mastered the basic knowledge and problem-solving methods of various types of questions. What needs to be done at this stage is the classification of real questions. Classification analysis is a shortcut for everyone to get the test sites and questions of each module in a short time. By doing real questions, you can know your mastery of each module and each question, and then continue to do this part of the exercise for the unclear part, so as to achieve a firm grasp of each module and the answer to each question.

Fourth, the sprint stage

The last stage is to do simulation questions to simulate the examination environment, examination time and mentality. At this stage, candidates pay attention to the time when doing the questions, and do the real questions in strict accordance with the examination time of the postgraduate entrance examination. Candidates' mistakes at this stage, especially in1February, focus on politics and English, and basically never look at mathematics, thinking that mathematics will reach the upper limit, and no matter how they do the questions, they will not improve their scores. It is true that at this stage, students can get higher scores by reciting politics or English. However, if they don't do math problems for a long time, they will find that many knowledge points and problems have been forgotten when they do it again, then the knowledge we have worked so hard to master will be returned, which is a pity. Therefore, candidates must insist on doing the questions and win steadily.

10 Simple questions that must be tested every year.

1, using Robida's rule and equivalent infinitesimal to solve the limit problem, directly solving the limit or giving the piecewise function to discuss the continuity and discontinuity of the base.

2. Find the maximum value, extreme value or prove inequality with derivative.

3. The application of the mean value theorem in calculus.

4. Calculation of double integral, including calculation and application of double integral and triple integral.

5. Calculation of curve integral and surface integral.

6, power series problem, calculate the sum function of power series, and expand a known function into power series by indirect method.

7. Ordinary differential equation problem. General solution, special solution and power series solution of separable variable equation, first-order linear differential equation and Bernoulli equation.

8. Solve the linear equations and find the undetermined constants of the linear equations.

9. Similarity diagonalization of matrices, finding eigenvalues, eigenvectors, similarity matrices, etc.

10, probability theory and mathematical statistics to find the distribution density of probability distribution or random variables and some numerical characteristics, point estimation and interval estimation of parameters.