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Liberal arts mathematics composition
The college entrance examination is coming. I'll give you some ways to improve your math.

1. Strengthen the "three basics" and lay a solid foundation.

The so-called "three basics" refers to basic knowledge, basic skills and basic mathematical thinking methods. It can be seen from the mathematics test questions of the college entrance examination in recent years that "giving flexible questions, testing foundation and testing ability" is still the dominant idea of the proposition. Therefore, when reviewing, we should pay attention to strengthening the training of the "three basics" questions, and don't rush to achieve success, aim too high, grasp the deep and shallow, and lose the foundation.

Candidates should deepen their understanding, mastery and application of the "three basics". The focus of the reform of college entrance examination questions is to change from "knowledge view" to "ability view" The requirements of the examination syllabus for mathematics subject ability are: ability refers to thinking ability, calculating ability, spatial imagination ability, practical ability and innovative consciousness.

The mathematical abilities put forward in the new curriculum standard are: the ability to ask, analyze and solve problems, the ability to explore, the ability to model, the ability to communicate, the ability to practice and the ability to think.

When reviewing the basic knowledge, candidates should grasp the connection and synthesis between the contents of each part of the subject, form a relatively complete understanding structure of the knowledge they have learned, and reach the realm of "taking the lead and moving the whole body".

To strengthen the training of basic skills, it is necessary to overcome the phenomenon of "high-minded but low-minded", which is mainly manifested in quick calculation, language expression, problem solving, reflection and error correction, and try not to lose or lose less points that should not be lost.

In daily training, we should pay attention to the infiltration of basic mathematical thinking methods and gradually improve students' thinking ability.

Consolidate the basic skills of solving problems. One of the basic points of college entrance examination review is to consolidate the basic skills of solving problems, and to deal with this problem unilaterally is to only grasp the knowledge factors of solving problems. In fact, the benefit of solving problems depends on many factors, the most basic of which are: knowledge, ability, experience and non-intelligence factors. In addition to intellectual errors, students' answers also include logical errors, strategic errors and psychological errors.

Mathematics college entrance examination has always attached importance to calculation ability, and it should be skillful, accurate, simple and fast, reasonable and reasonable, and consciously develop the good habit of writing norms and expressing accurately in review.

2. Review comprehensively, organize knowledge systematically, check and fill gaps, and optimize the knowledge structure.

This is the key problem to be solved in the first stage of review. Candidates should firmly grasp the following points in this process: ① accurate understanding and substantive understanding of concepts; ② Proficiency and initial application of basic skills and methods; ③ Special attention should be paid to the positive and negative deduction and application of formulas and theorems, and their interrelation, deformation and clever use.

To comprehensively review the efforts at this stage, we should meet the following requirements: ① Understand or master the concepts according to the outline requirements; ② Ability to understand or independently prove theorems in textbooks; (3) Be able to answer the examples and exercises in the textbook skillfully; (4) Be able to simply state the questions and main solutions of each unit; ⑤ Form a reasonable system knowledge structure and standardize the steps of solving problems.

The direct benefit of this stage is to get an excellent test, and its fundamental purpose is to prepare the material foundation for the improvement of mathematics quality. Only by doing a comprehensive review carefully can we be flexible and comprehensive and adapt to the characteristics of the college entrance examination.

The basic method of review at this stage is to organize the knowledge points and knowledge fragments divided in teaching into knowledge chain, knowledge system and knowledge structure, so as to make the contents of each subject comprehensive; Systematization of basic knowledge; Typing of basic methods; Standardization of solving problems. Among them, supplementary figures, tables and formulas have been proved to be beneficial, and the review skills of "exercises" have also been proved to be successful, such as filling in the blanks of basic contents, judging basic concepts, connecting basic formulas in series, and selecting basic operations.

3. Strengthen the training of knowledge crossing.

The exercises in each chapter of the textbook are often set to consolidate the content of this chapter, and the knowledge used is relatively simple. In review, candidates should properly strengthen the training of knowledge intersection, which is actually to train students' ability to analyze and solve problems.

Form an effective knowledge network. Knowledge network is the basic connection between knowledge, which reflects the process of knowledge occurrence and the basic questions to be answered by knowledge. The process of constructing knowledge network is a process of reading a thick book (textbook) thinly; At the same time, through comprehensive review, we should also read thin books thicker than textbooks. On the basis of teaching materials, we should add some more macroscopic understanding, more personalized understanding and more experience in solving problems.

Comprehensive problems can often be decomposed into several simple problems to solve, and they are organically combined. The key to solving this kind of examination questions is to understand the meaning of the questions, decompose them and find a breakthrough. Due to the change of course content, there is a new trend of knowledge intersection, such as the application of probability and statistics, the relationship between derivative application and function nature, the relationship between analytic geometry and plane vector, solid geometry, trigonometric function, and the comprehensive examination of related knowledge in sequence content (such as the combination of triangle and vector, sequence and inequality, probability and sequence content).

4. Don't fight for the title, but pay attention to the quality and handling level of the title.

If we take the tactics of asking questions, guessing questions and betting questions to deal with the entrance examination, the result will be a vicious circle of "inefficiency, heavy burden and low quality" We should control the total number of problems instead of relying on the sea of questions to win. When dealing with a certain number of questions, the key factor that determines the review effect is no longer the number of questions, but the quality and handling level of the questions.

The knowledge framework of politics is still very clear, and it is very helpful to memorize the knowledge structure. The concepts in the book should be clear, well recited and not sloppy. Sometimes you should choose words carefully, and multiple-choice questions often have traps. In fact, things related to current politics are still textbooks. We just need to read some materials, understand the direction of answering questions, and be familiar with various entry points. To learn geography well, you should read more maps and form a map in your mind, which is very helpful for answering questions. Physical geography has a lot to learn. After mastering it, the topic is actually very easy to do. There is no need for rote learning, such as topics related to calculation. Usually, you should be exposed to various types of questions and think from multiple angles. Don't let go of effective information, fully tap the implicit conditions. The attention of answering questions can be graded according to the main points, which is not only organized, but also helps you think for yourself. The usual exercise questions are good in the college entrance examination. There are not only multiple-choice questions, but also solutions. By comparing with the answers, we can find our own shortcomings. Learn how to answer questions hierarchically and methodically. In any case, comprehensive literature should be based on textbooks and not put the cart before the horse.

Politics: Politics needs to listen carefully in class, and more importantly, it needs to be understood by itself. The teacher should not be too abstract in class, you should persuade him to give more examples, which is more conducive to understanding. Just ask you to understand in class and watch when you come down. If you don't understand, read it again until you understand. After learning a unit, you should review it, read through the book, then think back on what this chapter said, and write down the main points of each frame chapter in the draft book (this is very important), so that you can see the content of this chapter at a glance without reading a book, otherwise you will know nothing after learning a chapter. When you have learned everything, you should sum up all the chapters and what is the connection between them, so that you can keep up with the ideas of book editors and learn them easily. Finally, you will find that philosophy only talks about three questions, namely: what is it? Why? How come? What does this mean? I'm just starting to learn now, and I'm not used to it. In the future, you will think that philosophy is the simplest, and it is a fixed model. But don't drag your feet now, or it will be difficult to learn later. If you have nothing to do now, write down the main points in the draft book. Don't read all day. Think back to the main points of a chapter before going to bed every night and analyze the problems in reality from a political point of view. It won't take long to learn philosophy well.

Geography: Geography is the simplest subject in my opinion. It's actually very interesting to read more maps and geography. You must find interest in learning geography, otherwise you will never learn well, so my opinion is to cultivate interest first. I like geography very much. Geography is divided into human geography and physical geography. Human geography can let you know about the customs of all countries in the world, and there are often some unique traditional cultures and interesting ones, while natural geography is more abstract than humanities. Mainly about climate, latitude and longitude, etc. To learn physical geography well is mainly to read more maps, get familiar with the world topography, and then recite more climate names. Do some exercises and ask the teacher to explain it. Human geography doesn't need to be too concerned. Learn geography with the feeling of traveling.

History: The study of history in high school is completely different from that in junior high school, and rote learning can't solve the problem. What high school history needs more is understanding. It is best to review once a week and once a month. When reviewing, the key is to read books repeatedly and improve in repetition. Books are the most fundamental. It is unrealistic to talk without books. Just combine reading with practice and think more.

Come on, I wish you success in the exam!