To learn math well, it is necessary to do a certain amount of problems. First of all, we should start with the basic problems, practice repeatedly according to the exercises in the textbook, lay a good foundation, and then find some extracurricular exercises to help us develop our ideas, improve our ability to analyze and solve problems, master the general problem-solving rules, and be familiar with various types of problem-solving ideas.
For some error-prone topics, you can prepare a set of wrong questions, write your own wrong thinking and correct problem-solving process, and compare them together to find out your own mistakes so as to correct them in time. We should develop good problem-solving habits at ordinary times. Let your energy be highly concentrated, your thinking be agile, you can get into the best state and use it freely in the exam.
Practice has proved that at the critical moment, your problem-solving habit is no different from your usual practice. If you are careless and careless when solving problems, it will often be exposed in the big exam, so it is very important to develop good problem-solving habits at ordinary times.
The second trick: carefully excavate concepts and formulas.
Many students pay insufficient attention to concepts and formulas. This kind of problem is reflected in three aspects:
First, the understanding of the concept only stays on the surface of words, and the special situation of the concept is not paid enough attention. For example, in the concept of monomial (the algebraic expression of the product of numbers and letters is a monomial), many students ignore that "a single letter or number is also a monomial".
Second, concepts and formulas are blindly memorized and have nothing to do with practical topics. The knowledge learned in this way can't be well connected with solving problems.
Third, some students do not pay attention to the memory of mathematical formulas. Memory is the basis of understanding. If you can't memorize the formula, how can you skillfully use it in the topic?
My advice to you is: be more careful (starting from observing special cases), go deeper (knowing its common test sites in the topic), and be more skilled (no matter what it looks like, we can use it freely).
The third trick: summarize similar types of topics.
When you can summarize the topics, classify the topics you have done, know which types of questions you can do, master the common methods of solving problems, and which types of questions you can't do, you will really master the tricks of this subject and truly "let it change, I will never move."