2022 Mathematics for Postgraduate Entrance Examination (II): How to See the Characteristics of Advanced Mathematics when the Outline is Published
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Recommendation of postgraduate entrance examination outline ：
The mathematics outline for the 2022 postgraduate entrance examination has been officially released, with little change compared with last year. Higher mathematics is the most important subject in the postgraduate entrance examination, so it is necessary for us to analyze the characteristics of higher mathematics in combination with the examination outline.
In combination with the examination syllabus, it can be compared with the examination syllabus over the years, which can be summarized in one word, that is, much the same but little the different. Most of the contents and requirements of the examination have not changed, and it can be further combined with the characteristics of the 2021 examination questions to conclude that higher mathematics has a stable problem type and prominent focus; The foundation is the main part and the calculation amount is too large; Some basic characteristics of comprehensive examination.
First of all, the question type is stable and the key points are prominent. The key points of higher mathematics in the traditional sense, such as the calculation of limits, double integral, multivariate function integral, etc., have been examined, so the main direction of review is still not to make major adjustments.
Second, the postgraduate entrance examination mathematics is basically based on the examination of basic content, which can be seen from the examination outline. It defines the postgraduate entrance examination mathematics as: "The postgraduate entrance examination mathematics is to examine the examinees' understanding of basic concepts, and their ability to use the basic methods and theories of mathematics to solve the basic problems of mathematics", This sentence fully expresses that the mathematical examination for postgraduate entrance examination is the most basic content and the most basic test points in each discipline. For these questions, we will find that there are no partial questions in combination with the 2021 test questions. The basic question types are mainly used, and there are new inferences on individual knowledge points, the definition of definite integral, the exchange of integral order of polar coordinates of double integral, etc, However, the proportion of these contents in the whole test paper is low; At the same time, we will find that although it is a basic question, the amount of calculation will be larger than before, so we should pay special attention to strengthening the calculation ability when reviewing, which is very important in the exam.
Third, looking at the whole set of test papers, the content of the examination is relatively comprehensive, basically reflecting the key content of high mathematics, and each question covers many knowledge points. For example, in 2021, Mathematics II emphasized the examination of applied problems, such as the geometric application of definite integral and the application of differential equation; Fundamentally speaking, the review of higher mathematics should not be fluky, but should be comprehensively grasped, focusing on the construction of knowledge system.
Next, let's talk about the examination of advanced mathematics. This year is the second year of the reform of the mathematics syllabus for postgraduate entrance examination. The objective questions of higher mathematics are more carefully polished, and the knowledge points of the examination are more comprehensive, which leads to increased differentiation and widened the gap between scores. Therefore, it is very important to do a good job of objective questions. As for the answer questions, the possibility of high number questions increases. Combined with the distribution of large questions in the test paper, we can know that the key knowledge points such as limit calculation and derivative calculation are still the key points of the exam, and the calculation amount of these knowledge points is too large. Therefore, when we review again, we should pay special attention to the questions with too much calculation amount in the key knowledge points, and strengthen the training of calculation ability.
Secondly, from the content point of view, the outline reflects that the examination of basic concepts in postgraduate entrance examination mathematics is more demanding. Taking double integral as an example, the mathematical outline attaches importance to the examination of the concept of double integral, and the geometric meaning of double integral should be fully used in calculation. Source: 2022 Mathematics for Postgraduate Entrance Examination (II): How to See the Characteristics of Advanced Mathematics when the Outline is Published
