I've been there before, and I think math is mainly about doing problems and doing them in a targeted way (I suggest you ask your teacher, who is usually in the third year of high school and quite experienced! ), and then copy all the important questions or wrong questions from beginning to end, it is best to use a special book (wrong question set). After studying these, the specific implementation details can be referred to as follows.

I hope it helps you, come on!

First, the schedule and review strategy

1. The first round of review is called "knowledge"

The schedule is from June 10 to June 10 of the following year. During the review, it was required that:

(1) Based on textbooks, quickly activate all the learned knowledge points. Students are generally required to read through the textbooks of grade one and grade two in the summer vacation before grade three. )

(2) Pay attention to the changes in the coverage of knowledge points used in the topic, and consciously think about and study the position and relationship of these knowledge points in the textbook.

(3) Understand the knowledge structure of textbooks from front to back, and frame and network the whole knowledge system. Can refine the knowledge points used in solving problems and tell their sources.

(4) Frequently summarize the most used knowledge points, study the chapters where the key knowledge is located, and understand the position and role of each chapter in the textbook.

(5) Add some 38 sets of exercises later to conduct comprehensive training on knowledge points.

2. The second round of review is called "special topic".

The schedule is from the beginning of the second semester to the end of mid-April. Requirements in the review process:

(1) Define "subject" and highlight key points;

(2) Two enhancements and two highlights, namely, strengthening the training of solving objective problems in speed and accuracy, and strengthening the organic connection between algebra and geometry; Highlight the flexible application of basic knowledge and the cultivation of students' reading and analysis ability;

(3) To achieve "four transformations and four highlights", that is, ① to change "introduction method" into "selection method" and highlight the discovery and application of solutions; ② Change "comprehensive coverage" into "key training" and highlight the "hot spot" of college entrance examination; ③ Change "quantity first" into "winning by quality", focusing on practice and implementation; (4) change "to make up for the weak" to "develop strengths and complement each other", and emphasize teaching students in accordance with their aptitude;

(4) Deal with five problems: ① the problem of classroom capacity; (2) the proportion of training; ③ Giving full play to students' dominant position; ④ Methods and methods of evaluation; ⑤ It is the problem of information feedback;

(5) Overcoming six biases: ① Overcoming too many problems and starting from too high; ② Overcoming too fast; 3. Overcome only practice and don't talk; (4) overcoming plagiarism; ⑤ Overcoming ineffective collective lesson preparation; ⑥ Overcome plateau phenomenon;

3. The third round of review, called "The Strategy"

About a month's time, the review process needs:

(1) When solving problems, we will choose the most time-saving and trouble-saving method from a variety of methods, and strive to think about problems from all directions and angles, and gradually adapt to the requirements of the college entrance examination for "simple thinking".

(2) Pay attention to the speed of solving problems, examine questions slowly, think comprehensively, write accurately and answer questions quickly.

(3) Develop the habit of analyzing the proposer's intention in the process of solving problems, and think about how the proposer organically combines the knowledge points examined, and what thinking methods are compounded in it, so as to know what the proposer wants to test me and what I should know.

The fourth round of review is called "preparation"

In the final stage before the exam, the review process needs:

(1) Search your own knowledge system, seize the weak points, and do special training and surprise measures (ask the teacher to help you recite); Lock in the top priority and master the most important knowledge to the point of perfection.

(2) Grasp the error-prone points in thinking and pay attention to typical questions.

(3) Browse the exercises and papers you have done before, recall the course of learning relevant knowledge, and do a good job of "re-"correcting mistakes.

(4) Read extensively and memorize extensively, so as to make yourself well informed, and pay attention to those problems with new background, new methods and representative knowledge.

(5) Don't do difficult problems, digressions and strange questions, keep emotional stability, be full of confidence and prepare for the exam.

Second, review the suggestions of common exam knowledge points

1. Subject knowledge, forming a network.

(1) functions and inequalities. Algebra focuses on functions, and the combination of derivatives and functions, inequalities and functions is a "hot spot";

(2) Order and limit. Sequence is a special function sequence. In college entrance examination, sequence is often used as a tool to design application questions and exploration questions to examine innovation consciousness and practical ability.

Solving problems involves eight kinds of thinking: ① equation thinking; ② Functional thinking; ③ holistic thinking; (4) Return to thought; ⑤ inductive thinking; ⑥ classification idea; ⑦ Extreme thoughts; ⑧ Modeling ideas.

(3) Space straight line, plane and simple geometry. Emphasize "space" and "solid", that is, put the positional relationship of line segment, line surface and surface in a certain geometric scene, and geometry focuses on prisms and pyramids. Prism focuses on triangular prism and cube;

(4) conic curve. With the basic properties and basic operations as the goal, learn the intersection point, chord length and trajectory of straight lines and conic curves, and understand the relationship with functions. Special attention should also be paid to the application of vector tools in solving problems, because vectors have coordinates and coordinate operations, and coordinate method makes plane vectors and plane analytic geometry naturally and organically linked;

(5) Probability statistics, probability calculation, especially the probability of equal possible events, the probability of mutually exclusive events, the probability of independent events occurring once, the probability of sub-independent repeated tests and their practical application are the key points;

(6) Derivative and its application. Focusing on the application of derivatives, the monotonicity and maximum value of functions are studied, which may be combined with functions and inequalities to introduce parametric variables; It may also be combined with physics and other disciplines to study the practical significance of derivatives and investigate the practical application ability; This part is also a new content and has become the focus of the college entrance examination;

(7) The application of vectors is mainly reflected in the combination with functions, analytic geometry and spatial problems;

(1) is combined with function, which is reflected in the translation of images;

② Combining with analytic geometry, it is reflected in calculation and transformation;

③ Combining with space problems, all the problems of proving and calculating space geometry can be solved;

Before the exam, we must make clear the main knowledge of the college entrance examination questions and network the knowledge of the seven major sections in the first round of review, which is also the basis for improving the comprehensive problem-solving ability;

2. Synthesize knowledge and strengthen ability

In the proposition of college entrance examination, seven sections of knowledge are often examined together, which is called the proposition of knowledge network intersection. The examination center of the Ministry of Education has repeatedly stressed that: designing examination questions at the intersection of knowledge networks, examining ability in synthesis, and striving to achieve the purpose of comprehensively examining mathematical foundation and mathematical quality; So be familiar with the intersection of knowledge. The college entrance examinations in the past years mainly have these intersections: "the synthesis of functions, equations and inequalities", "the synthesis of functions and sequences", "the synthesis of analytic geometry and geometry, algebra and triangles", "the application of derivatives" and "the application of vectors".

3. Add new knowledge and focus on review.

Compared with the old college entrance examination, the new college entrance examination has added new contents such as simple logic, vector, linear programming, probability, statistics, derivative and so on. These contents are important basic knowledge of modern mathematics, contain rich mathematical thinking methods and mathematical languages, provide widely used mathematical tools, and are an important part of contemporary basic mathematics education and the basis for further study.

In fact, the new mathematics college entrance examination questions almost cover these new contents, and the score ratio is slightly higher than its proportion in class hours, and its score accounts for about the whole volume. Moreover, the college entrance examination questions in the new curriculum also highlight the integration of the new contents in middle schools and the contents of various subjects, and also reflect the unique role of the new contents in solving problems.

The requirements of new content are increasing year by year, so we should pay enough attention to it in the review and strive for a higher score rate for these contents.

4. New test questions, calmly respond

Special attention should be paid to the reform of test questions and abilities in solid geometry test questions. The college entrance examination proposition has increased the intensity of testing new types of questions year by year, striving for innovation while maintaining stability, striving for change while maintaining stability, actively carrying out reform experiments of new types of questions, and examining inquiry ability in new types of questions. These new questions mainly include: practical ability questions, open questions, exploratory questions and small discovery questions.

The college entrance examination proposition not only tests the basic ability, but also focuses on the innovation ability, which embodies the examination description of "testing the ability in the research topic" In the face of such problems, we must deal with them calmly;

5. Check for leaks and fill gaps, and practice moderately.

The review time before the exam is tight, so it is impossible to start all over again. Time is short, content is much, and we can only pass the exam around key methods (general methods), important knowledge, basic mathematical thinking methods and "hot issues" in recent years;

(1) The purpose of the exercise is to check and fill the gaps. You should read the textbook and make it up in time. Basic knowledge is the starting point to solve problems, "the flexible use of basic knowledge becomes ability"; Generally speaking, the college entrance examination questions have a strong foundation, but the ability requirements are not low. One of the ways to strengthen the ability test is to improve the flexible use of basic knowledge, which shows that the lack of knowledge will be the fatal point that affects the ability to play;

(2) Learning mathematics focuses on cultivating mathematical thinking ability and learning ideas and methods to solve mathematical problems. "rote learning" and "hard-set mode" are definitely not feasible, and "sea tactics" is not an effective method. The key to moderate practice is to understand and summarize mathematical thoughts and develop the brain, that is, to arm the brain with mathematical thoughts and polish the eyes.

6. Grasp timeliness and listen to lectures scientifically.

A college entrance examination paper generally has 16 objective questions (choose to fill in the blanks), 6 answers and ***22 questions, with objective questions accounting for 76 points and answers accounting for 74 points. If you spend less time solving objective questions, you can have enough time to finish the answer. The accuracy of objective questions is high, which will directly affect the exam results. Therefore, review before the exam must strengthen the intensive training of speed and accuracy, and work hard on speed and accuracy. However, speed and accuracy are often contradictory, so we should constantly adjust this contradiction in our daily practice in order to achieve harmonious unity;

1. Take every math exercise as a rare exam, and we should not only pursue the correct answer rate, but also control the answer time. Generally, a simulated test paper takes 120 minutes, and ordinary practice takes 60 minutes. Don't work overtime.

2. The classroom of senior three is still the main channel, and the wonderful content of teachers' comments should be quickly integrated and extrapolated; At the same time, the answer to the question can be divided into clever solution and stupid solution. Learning the method introduced by the teacher can often simplify the complex and shorten the time of solving problems.

3. Strengthen the training of "three more and one development". "One question, many questions, step by step" is another feature of the college entrance examination proposition. In review, we should practice more questions, do more decomposition training from big to small, and do more conclusion divergence training. Develop one question and ask more questions, one card and many calculations, etc.

4. Change "passive listening" to "active answering" and quickly find a solution to the problem. Now we have stored a lot of problem-solving methods and laws in our minds. How to extract and use them is the key to solve the problem before the exam. In class, teachers usually talk about solutions to problems. Students who listen passively usually wait for the teacher to give an answer. Students who take the initiative to attend classes are either ready before class or walk in front of the teacher. When the teacher is ready to talk about this topic, they begin to think nervously and even write down the key steps of the problem themselves. Only by changing "passive listening" to "active answering"

5. Listening to science class also requires diligent writing. When we say "you can't hear math without pen and paper", we are talking about the importance of writing; There is also a famous saying in professional training: "I read it, but I forgot;" I listened to it and was deeply impressed; I did it, I will ",which also emphasizes the importance of hands-on.

7. Overcome anxiety and improve steadily

Review before the exam, "big exam" and "quiz" are frequent and difficult, and the results are often unsatisfactory. Many students lose confidence and become anxious, but they don't know that this is normal. After that, nothing can stop you from moving forward. As long as the problems are found in time in each exam, the gaps are effectively checked and filled, and the difficulties are broken, the grades will be steadily improved;

1. First of all, we must overcome the phenomenon of only practicing without listening to lectures and only listening to lectures without practicing. If you don't practice, you can attend class first or review after class, and you can only have a half-knowledge of the problem. Although I saw the topic, I still couldn't do it.

The problems that have been found should be solved in time, otherwise they won't be encountered next time. It's a good idea to ask the teacher, but it's not advisable to ask questions without thinking. Asking questions is also learned. Generally speaking, instead of asking how to answer, it is better to ask the reason why the thinking is blocked. If you can't find a teacher for a while, it is also a good way to solve the problem.

3. Don't buy a lot of review materials, copy the simulated test questions all over the country. The whole set of exercises that are not selective and targeted will not only make you unable to see one thing clearly, seriously interfere with your review plan, but also affect your mentality and cause anxiety;

4. Don't take the test lightly because it is easy, and don't panic because it is too difficult;

Finally, be confident. Although it's a cliche, speak it out.

Third, the review of mathematical thinking methods

General mathematical methods include collocation method, method of substitution, integral method of substitution, undetermined coefficient method, mathematical induction and so on. , and should clarify their functions and operation methods;

General logical methods include analysis, synthesis, induction, analogy, induction, and exhaustive method. , and should clarify its rules and functions;

Mathematical thinking methods include function and equation, combination of numbers and shapes, classification and integration, transformation and reduction, special and general, finite and infinite, probability and necessity, movement and transformation, etc. We should be good at refining them with mathematical knowledge, so as to grasp their essence and guide thinking and solving problems.

1. Concepts of functions and equations

Function is the intermediary between equality and inequality, which are both different and closely related. The examination questions not only examine the basic application of the thought of function and equation through objective questions, but also comprehensively examine the thought of function and equation through solving problems.

2. The idea of combining numbers with shapes

Mathematics is a science that studies the relationship between quantity and spatial form, and "number" and "shape" and their relationship and transformation are the eternal themes of mathematics research. With the coordinate system as the link, the analytical formula of the function has a one-to-one correspondence with the function image, equation and curve, so the study of quantitative relationship can be transformed into the study of graphic properties, and the study of graphic properties can be transformed into the study of quantitative relationship. In solving problems, we can analyze problems from two aspects: number and shape. It not only gives full play to the intuition of form, but also pays attention to the rigor of number. This strategy of mutual transformation and interactive use of "number" and "shape" in solving mathematical problems is the idea of combining number and shape.

3. The concept of classification and integration

When solving some mathematical problems, we sometimes encounter many different situations, which need to be classified and solved one by one in order to get a comprehensive solution. This is the idea of classification and integration, which is not only a logical method, but also an important mathematical idea. An important purpose of college entrance examination is to test students' rational thinking.

4. The concept of transformation and transformation

The answers to many questions are inseparable from the idea of transformation and transformation, and the process of solving problems is actually a process of continuous transformation.

5. Special and general ideas

From the special to the general, and then from the general to the special, this is one of the basic processes for people to understand the objective world. Because the application level of special and general thoughts can reflect the mathematical literacy and general ability of candidates, examining special and general thoughts plays an important role in the college entrance examination.

6. The concepts of motion and deformation

There are three common graphic movements: rotation, translation and folding. The problem of motion changes is to use them to change the position of graphics, cause changes in conditions or conclusions, or concentrate and disperse conditions to help solve problems. This kind of problem focuses on cultivating students to look at the problem from a dynamic point of view, which is conducive to training students' spatial imagination and hands-on operation ability. The key to solve this kind of problem lies in how to "move from static" or "seek static from dynamic".

7. Limited and infinite thoughts

The objective world is the unity of finiteness and infinity. We can grasp infinity through finiteness, and we can also determine finiteness with the help of finiteness. Mathematical induction, sequence limit and function limit are all excellent examples of grasping infinity from finiteness.

8. Concepts of possibility and necessity

Faced with the uncertainty (probability) of random phenomena, people hope to grasp the regularity (inevitability) of them. In recent years, the college entrance examination has highlighted the examination of probability content, which meets the actual needs.

Mathematical thinking method is the essence of mathematical knowledge and the catalyst for transforming knowledge into ability. Therefore, in high school mathematics teaching, we should consciously guide students to dig and refine the rich mathematical ideas and methods contained in mathematical knowledge itself, and use them appropriately to solve problems, so that students can gradually learn:

(1) Establish the relationship between knowledge and knowledge with the idea of functions and equations.

(2) The combination of numbers and shapes reflects the mutual reflection between numbers and shapes.

(3) Using the idea of classification integration to realize the mutual integration of all parts.

(4) Use the idea of transformation to complete the mutual transformation between problems.

(5) Develop concrete and abstract dialectical thinking with special and general thinking.

(6) Learn the analytical connotation of the combination of static and dynamic with the idea of movement and transformation.

(7) Realizing the great leap from quantitative change to qualitative change with finite and infinite thoughts.

(8) Reveal the laws contained in random phenomena with the ideas of possibility and inevitability.

Gradually cultivate students' logical reasoning, deductive proof, operational solution, intuitive guess, inductive abstraction and other ways of thinking to develop students' rational thinking ability.