1. Re-recognize mathematical concepts, deeply understand their connotation and extension, and distinguish easily confused concepts. Taking the concept of "angle" as an example, there are many kinds of "angles" in textbooks, such as the oblique angle of a straight line, the angle formed by two lines of different planes, the angle formed by a straight line and a plane, the principal value of a complex angle, the included angle, and the chamfer. There is a certain range of values. For example, the angle formed by two straight lines in different planes is an acute angle or a right angle, not an obtuse angle, which ensures its uniqueness. If you understand and master this point, there will be no conceptual mistakes.
2. Deepen the understanding and mastery of theorems and formulas step by step, and pay attention to the applicable conditions and scope of each theorem and formula. If the average inequality is used to find the maximum value, three conditions must be met, all of which are indispensable. Some students make mistakes because they are not familiar with the structure of mean inequality or ignore the conditions it should meet.
3. Master the ideas and methods embodied in typical propositions. For example, the proof method of equality provides a general method to find the sum of coefficients of binomial expansion or polynomial expansion.
Therefore, correct thinking, careful reading, comprehensive mastery, combined with other materials and exercises, deepen the understanding of basic knowledge, thus laying a solid foundation for improving problem-solving ability.
Second, good classes: the quality of classroom learning directly affects academic performance.
1. There will be classes. Being able to go to class means thinking positively. When the teacher asks questions, what should I do before the teacher thinks? Think about all possible ways and methods to solve this problem, and then compare it with what the teacher said. Maybe some ideas are feasible, maybe the teacher's method is better, maybe your method is concise and wonderful. Don't wait for the teacher to tell you bit by bit, just because you understand, you think you have learned. Actually, you have to wonder. No wonder many students say that teachers make mistakes when they speak, because they can't do their own thing without really thinking about it. Therefore, positive thinking is the most important part of a good class, and of course it is also the main method of learning.
2. take notes. What the teacher says in class contains important concepts, conventional ideas and methods of various problems, error-prone problems, and some applicable laws and skills, so it is necessary to take notes in class.
3. Review in time. According to the law of memory, review should be timely, once a day and once a week, and each summary is better.
Third, do more exercises: you must do a certain amount of exercises when you study mathematics in senior three.
1. The difficulty is appropriate. Now there are many review materials and topics, and the review should be in accordance with the teacher's requirements. And you can't blindly do difficult problems and comprehensive problems. If the goal is set too high, it will not only take a lot of time, but also reduce self-confidence if you don't know how to do too many questions. It is also easy to ignore some seemingly simple basic questions and details, and lose points in the exam, causing irreparable losses. Therefore, practice should proceed from your own actual situation and step by step. We should focus on basic and intermediate questions and do some comprehensive questions appropriately to improve our ability and thinking quality.
2. The problem is the essence. It is good to practice more if possible, but this is the essence. First of all, the topic selection should be combined with the requirements of "exam description" and the examination direction of college entrance examination questions in recent years, focusing on "three basics" and "universality and generality" Secondly, it is very important to think and summarize when doing the problem. Every time you do a problem, you should recall your own problem-solving ideas to see if you can solve more problems, draw inferences from others, pay attention to reasonable operation and optimize the problem-solving process. Third, we should be willing to spend time and do more questions on key issues. Fourth, in the review process, we should constantly do some application problems to improve our reading comprehension and practical problem-solving ability, which is also one of the directions of the college entrance examination reform.
3. pay attention to correcting mistakes. Some students only pay attention to the quantity of problem solving and neglect the quality, which shows that they don't ask right or wrong after doing the problem, especially the teacher has turned a blind eye to the reviewed content. How can this progress? If you are wrong, you should not only correct it, but also write it down, analyze the reasons and enlightenment of the mistake, and pay special attention to the paper. Only by constantly correcting mistakes and accumulating over time can we improve.
4. Pay attention to the summary. It includes not only the summary of types, methods and rules, but also some basic problems.
Fourth, do a good job in reviewing each stage.
After entering the third year of high school, I basically began to review. I will obey the teacher's plan and arrangement, and complete the tasks at each stage in a down-to-earth manner, and I can't rush for success. Generally divided into four stages:
1. The first stage is systematic review. It will take about nine months. The key point is comprehensive review, focusing on the foundation, that is, chapter by chapter, taking the "three basics" as the core, systematically and comprehensively sorting out every knowledge point, mastering the commonness and methods skillfully, and paying attention to the formation of the knowledge system.
"Three basics" refers to the basic knowledge, skills and methods of mathematics. Mastering the "three basics" requires a process, which can only be achieved through proper training. Therefore, it is necessary to cultivate good study habits, regard each exercise as an opportunity to consolidate learning, associate the related knowledge points and general methods of solving problems as soon as you see such problems, and gradually realize the automation of mastering the "three basics" and come at any time.
Reviewing the "three basics" is not a simple repetition. It is important to deepen our understanding and discover the essential connection of mathematical knowledge, so as to classify, sort out and synthesize it, and gradually form an orderly, orderly and networked organism, truly from coarse to fine.
Pay attention to the improvement of mathematical ability. Through a lot of problem-solving exercises, I can improve my computing ability, logical thinking ability, spatial imagination ability, and my ability to analyze and solve problems by using what I have learned.
Pay attention to the application of thinking methods. The famous mathematician Paulia pointed out: "The perfect way of thinking is like the North Star, and many people find the right path through it." Explain how important it is to master the way of thinking. For example, some complex algebraic problems can be solved easily and quickly if numbers and shapes are combined.
2. The second stage focuses on review. It takes about a month and a half. The key point is to improve the "three natures", that is, the comprehensiveness, application and innovation of knowledge and ability. This is the reform direction of examination questions since 1999. After the first stage of review, students have a certain grasp of the "three basics", and then the teacher will organize some special topics for students. Including:
Functions, equations, inequalities and other knowledge-related topics; Special topics on functions and sequences; Function images and curves of equations.
Special topics of thinking methods, such as: thinking methods of functions and equations; The thinking method of combining numbers and shapes; The idea of classified discussion; Thinking method of movement and transformation; Transformation and transformation thinking methods, etc.
Apply special topics to further strengthen all kinds of exercises, improve reading comprehension and build mathematical models.
Innovate thinking topics, strengthen thinking training, and carry out creative thinking on the basis of "commonness and commonness", reflecting more, less or no hurry to calculate.
3. The third stage is comprehensive exercise. It takes about a month. The key point is to improve the level of examination. Through the repeated practice of comprehensive examination papers, we should strengthen the training of answering strategies and time allocation, especially when examining questions, one feeling, one cut and one success.
4. The fourth stage is the heat preservation and free review stage. Keep a good mental state and calm mind, firmly believe in your own strength, and meet the college entrance examination with confidence.
In short, senior three is a new starting point. We should strengthen our confidence, do it seriously according to the teacher's requirements and our own situation, adopt scientific learning methods and persevere, and we will certainly get the joy of success.
The teacher's words are very important. Besides, you have made a qualitative leap in senior three. The first round of review must be serious, which is to lay the foundation for your second round of review ~ ~ ~ Come on.