1. Learn the college entrance examination instructions and the college entrance examination outline carefully.
College entrance examination instructions and college entrance examination 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.
The college entrance examination 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. Look at the knowledge structure from the height of thinking.
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. Look at examples in a different way and expand the thinking space.
Those senior three students who understand textbooks and textbook examples at first sight but are confused about doing them must read this article! Many senior three students often read books and examples, but they often pass by because they often think they know everything when they read them, but they don't understand them thoroughly. Therefore, Bian Xiao, a high-scoring college entrance examination student, reminds all senior three students to cover up the solution when reading examples, and do it by themselves, and then look at it when they have finished or can't do it. At this time, think about what you have done is different from the solution, what you didn't expect, what you need to 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. Do the questions carefully and explore the meaning of the questions.
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 a question lies not in doing it right or doing it right, but in knowing what the question wants to test you. Understanding the problem from this angle can not only quickly find a breakthrough in solving the problem, but also not easily enter the trap set by the teacher.