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College entrance examination: sorting out the difficulties in higher mathematics?
Free consultation for college students' fast registration: /xl/ First, pay close attention to basic concepts and theories.

As in previous years, junior college students' mathematics questions are mainly based on basic questions and medium questions. Therefore, for senior three students, we should pay attention to the basic concepts and theories in the usual review, not just to do the questions. We should find out the weak links in our foundation from the wrong questions in time, and check the leaks and fill the gaps against the textbooks and review books. This content needs to be done all the time before the exam

Second, grasp the key points and difficulties.

The key points and difficulties in higher mathematics for junior college students mainly include:

Chapter 1 function, limit and continuity: 1, find the limit; 2. Comparison of infinitesimal orders; 3. Judge the type of discontinuity; 4. Asymptote

The second chapter is differential calculus of univariate function: 1, the definition of derivative; 2. Derivation of complex function, implicit function and parametric equation; 3. Problems related to the roots of equations; 4. Differential mean value theorem; 5. The application of derivative in economy (3).

Chapter 3: The basic operations of integral of unary function: 1, indefinite integral, definite integral and generalized integral; 2. Related issues of variable upper-bound integral; 3. Calculate the area and volume of the rotor by definite integral.

Chapter 4 Differential calculus of multivariate functions: 1, continuity, existence of partial derivatives and their relationship; 2. Find the partial derivatives of complex functions and implicit functions, especially the partial derivatives of abstract functions; 3. Extremes and maxima of multivariate functions.

Chapter 5: the integral of multivariate function: 1 and the calculation of double integral; 2. Arrangement and calculation of repeated integrals 3. Calculation of the second kind of curve integral and the second kind of surface integral (1); 4. Basic calculation of triple integral, the first kind of curve integral and the first kind of surface integral (number one).

Chapter VI Ordinary Differential Equations: 1. Basic methods for solving differential equations (differential equations with separable variables, homogeneous differential equations, second-order linear differential equations with constant coefficients); 2. Comprehensive questions about differential equations (such as the combination of variable upper-bound integral and differential equation, and the combination of double integral and differential equation); 3. About the application of differential equations (such as geometry application).

Chapter 7 Infinite Series (No.1 and No.3): 1, multiple-choice questions about judging the convergence of constant series; 2. Convergence domain, convergence radius and convergence interval of power series; 3. Expansion and summation of power series.

Third, there should be an overall plan for the later review.

The main goal of comprehensive review in the basic stage (now to June) is to systematically review, lay a solid foundation, clarify the connotation and extension of basic concepts, basic theories and basic methods, strengthen the grasp of knowledge points, improve the speed and accuracy of solving problems, and make full preparations for later review.

In the intensive stage, be familiar with the question type (July ~ 10), strengthen the training of problem-solving ability through counseling materials, and summarize the basic methods. This stage is the key to whether candidates can get high marks in mathematics. We should make good use of this time and fully understand the key points, difficulties and easy test points of each chapter on the basis of establishing a knowledge framework.

In the sprint stage (165438+ 10 ~ 65438+mid-February), check for leaks and fill gaps through the practice of test questions. Pay attention to the mastery of the wrong questions. This paragraph leaves important time for the questions of the past years, so we must do the questions of the past years thoroughly several times and master them skillfully; If the previous basic review work is not done well, it can also be handled appropriately.

There are two main tasks in the period of maintaining the state during the model examination (65438+February ~ before the exam). One is to do several sets of real simulation questions, and according to the standard of mathematics examination, arrange three hours of simulation in a separate environment in the morning, and fill in the blanks through simulation. Another important task is to review the textbooks in the basic stage, the whole book in the intensive stage and the examination questions over the years. If you have any questions, read them again a few times, so as to really review the past and learn something new.

Fourth, we should make unremitting efforts.

Success is not achieved overnight, so we should make unremitting efforts. Besides a reasonable plan and a good attitude, the most important thing is persistence and persistence. You may encounter low tide or confusion in the process of preparing for the college entrance examination, but don't give up, find a suitable way to tide over the low tide and stick to your dreams.

If you have any questions about the college entrance examination, don't know how to summarize the contents of the test center of the college entrance examination, and don't know the local policy of registering for the college entrance examination, click on the bottom to consult official website and get the review materials for free: /xl/