Success is math, and failure is math. Mathematics is indeed a pain in the hearts of many senior three candidates. How to improve the pertinence and effectiveness of math review? Teach you a doorway, referred to as the "three questions method": first ask yourself: "Have you learned?" -mainly solve the problem of "what", that is, what knowledge has been learned; Second, ask yourself, "Do you understand?" -mainly solve the problem of "why", that is, what method to use; Third, ask yourself, "Can you use it?" -mainly solve the problem of "how to do", that is, what problems have been solved. Next, let's talk about eight tips for getting into the doorway.

1. Study your notes and textbooks carefully.

The exam description and exam outline are the most authoritative and accurate college entrance examination information that every candidate must be familiar with. Through research, we should clarify three questions: what to test, how difficult it is and how to test it.

Proposition usually pays attention to the background of test questions, emphasizes mathematical thought and pays attention to mathematical application; The test questions emphasize questions, inspiration and foundation; Pay attention to general methods, downplay special skills, and highlight the thinking of mathematical problems; Strengthen the backbone knowledge; Pay attention to the connection of knowledge points and examine the sense of innovation.

Textual research clearly points out that "innovative consciousness is the advanced expression of rational thinking". So the test questions are novel and lively. So in the review, you should strengthen the practice of new questions, reveal the essence of the problem and solve the problem creatively.

2. Multidimensional examination of knowledge structure

Mathematics examination questions in college entrance examination always pay attention to the examination of thinking methods, which is an abstraction and generalization of mathematics knowledge at a higher level. Knowledge is the carrier of thinking ability, so the purpose of investigating mathematical thinking is achieved through the investigation of knowledge. You should establish a knowledge network of each part of the content; Grasp the concept comprehensively and accurately, and strengthen memory on the basis of understanding; Strengthen the combing of error-prone and confusing knowledge; Understand the essence of the problem from multiple angles and directions; Experiencing mathematical thoughts and solving methods.

3. Cover the answers and look at the examples

You can't read the examples in reference books, because you often feel that you know everything when you read them, but you don't understand them thoroughly. So when you look at the example, cover up the solution, do it yourself, and look at it when you have finished or can't do it. At this time, think about what you did differently from the solution, what you didn't expect, what you should pay attention to, which method is better, and whether there is another solution. After the above training, my thinking space has expanded and I have a comprehensive view of the problem. If the source of the topic is clear, it will be more beneficial to add a few comments at the back of the topic to explain the "vision" and ingenuity of the topic.

4. Study what to test for each question.

The improvement of mathematical ability is inseparable from doing problems. Everyone knows the simple truth that "practice makes perfect". But the problem is not to engage in sea tactics, but to think of many problems through one problem. You should focus on the thinking process of solving problems, find out the significance and role of basic mathematical knowledge and basic mathematical ideas in solving problems, and study various ways to solve the same mathematical problem with different thinking methods. In the process of analyzing and solving problems, you should not only establish the horizontal connection of knowledge, but also develop the habit of thinking from multiple angles.

Instead of rushing in a class and sweating twenty or thirty repetitive questions, it is better to master a typical problem thoroughly. For example, deeply understand the various connotations of a concept and try to deal with a typical problem in various ways from various ideas, that is, multiple solutions to one problem; Try to use * * * to explore the law of problems, that is, to solve more problems; Constantly change the conditions of the topic and test your knowledge from all aspects, that is, a topic is changeable. The value of the Tao question lies not in doing it right or doing it right, but in understanding what the question wants to test you.

It takes less time and more work to answer questions.

Three words should be grasped in solving problems: number, form and shape; Reading, examination and expression should realize the free conversion of three mathematics languages (written language, symbolic language and graphic language). We should attach importance to and strengthen the training and research of multiple-choice questions. We should not only be satisfied with the correct answer, but also learn to optimize the process of solving problems, pursue the quality of solving problems, spend less time and do more things, so as to win enough time to think and solve high-level problems. We should constantly accumulate experience in solving multiple-choice questions and make a mountain out of a molehill as much as possible. Besides the direct method, we should also flexibly use special value method, exclusion method, test method, combination of numbers and shapes and estimation method to solve problems. When solving problems, the writing should be concise, to the point and standardized. Don't make a mountain out of a molehill, just write "score points".

6. Wrong reflection once.

There are some mistakes in every exam, which is not terrible. It is important to avoid similar mistakes in future exams. So we usually pay attention to writing down the wrong questions. Wrong notes include three aspects: (1) Write down what is wrong and draw it in red. (2) What is the cause of the error? Analyze from four aspects: examining questions, classifying, copying knowledge and finding answers. (3) Error correction methods and precautions. According to the analysis of the cause of the error, put forward the correction method to remind yourself what to pay attention to next time you encounter similar situations. If you can record and analyze the mistakes in each exam or exercise, and try your best to ensure that the same mistakes will not occur in the next exam, then the probability of making mistakes in the college entrance examination will be greatly reduced.

7. Analyze test papers and sum up experience

At the end of each exam, we should carefully analyze the gains and losses and sum up the experience and lessons. Especially to classify the mistakes in the test paper. (1) Regret mistake. It is clearly a problem that can be done, but it is wrong; (2) Contradictory mistakes. Memory is not accurate enough, understanding is not thorough enough, and application is not comfortable enough; The answer is not rigorous, incomplete and so on. (3) the fault of omission. Because there is no wrong answer and guess, or there is no answer at all, this is a problem without thinking, understanding, let alone application. If we find the reason, we will eliminate the regret, understand the paradox and strive for success. Effectively solve the long-standing problem of "meeting but not right, right but not complete".

8. Excellence is a habit

Plato said, "Excellence is a habit." Good habits will benefit for life, bad habits will regret for life and suffer for life. For example, does "mistakes in examining questions" lie in being eager for success? The tactics of "one slow and one quick" can be adopted, that is, the examination of questions should be slow and clear, the steps should be in place, the action should be fast, the work should be gradual, the stability should be fast, and the success should be based on one time. Don't get into the bad habit of being afraid of not finishing, rushing to do things and hoping to be checked.

In addition, the general examination is regarded as an important way to accumulate examination experience, and the general examination is regarded as the college entrance examination, which is constantly debugged and gradually adapted from all aspects. Pay attention to the writing standard, you can't lose important steps, and losing steps means losing points. According to the characteristics of graded answers, we might as well make a psychological transposition. According to their own actual situation, from the requirement of "correctly completing all homework" to the requirement of "based on completing some topics or some topics". Don't spend too much time on a problem, sometimes giving up may be an option.