Is the textbook, the textbook is the foundation of the foundation, but it is the most neglected by middle school students. When I was in high school, I read the textbook first and then did the questions, so my classmates often did the fifth question. At first, I did it, but when I did the twentieth question, I found that my classmates did the 17 question, which meant sharpening the knife and cutting wood by mistake. Finally, I not only saved time, but also consolidated my book knowledge more than my classmates. Then I went back and forth from the book principle to the topic, from the topic to the principle, and cultivated the ability to solve practical problems with theory, and the ability to change with constant. In short, it saves time and is efficient. It laid the foundation for getting rid of the sea of questions.

2. Two methods

1) Find the known and solved "bridge". Mainly for medium-sized problems and difficult problems, we use what we know, push one step or a few steps to complete the transformation, push a few steps back from the solution to see what is still missing, and then recall the knowledge points and solved classic problems in our minds to fill the gap between the known and solved ones. This is the principle of bridge.

2) Some problems still encounter difficulties according to the above methods, and may need to find another way. For example, starting from the definition or re-examining the known conditions, the known conditions may not be exhausted or some hidden known conditions may not be excavated.

3. trilogy:

1) Read the textbook first, really understand the textbook examples, and do after-school exercises (although it looks simple, it is essential to check whether you really have mastered these basic knowledge points).

2) Use the real questions of the college entrance examination over the years. These questions are very valuable. First, hide the answer. According to the basic content of your previous textbook, try to do it yourself. Then, check the answer and understand its principle. Really get to know it and see if you can draw inferences. You can ask teachers, classmates or tutors, and finally reach an analogy.

3) Synchronous exercises must follow the course closely. If you can't keep it, then take it step by step.

There are many mathematical knowledge points, which are easy to forget, but if you can do all the above steps, it is not so easy to forget. Even if you forget, you can read the previous content and consolidate it again.

Step 4: Level 4

1)

Basic knowledge points. Including concepts, definitions, theorems, formulas, etc. This is the foundation, this does not pass, and the rest is impossible. This is why I usually read textbooks first. Although this part is important, the author does not focus on it, but only checks and reminds me, because I can teach myself and ask teachers and classmates. People who know this are too easy to find.

2)

Mathematical thinking and mathematical skills. Mathematical ideas such as equation function, combination of numbers and shapes, symmetry, classification discussion and reduction; Formula, undetermined coefficient method and other mathematical skills. The author is strong in this respect, so he doesn't panic when he doesn't do problems or see strange problems for many years, because these ideological abilities are deeply rooted in the bone marrow.

3)

Mathematical model and intermediate conclusion. Mathematical model is the solution to specific problems, and intermediate conclusion can make students reduce the steps of solving problems, speed up solving problems and reduce the probability of making mistakes. With 2 mathematical ideas and skills, these can be deduced by yourself, but we should pay attention to summary and accumulation.

4)

Special problem-solving skills. This requirement is strong in the above three aspects, smart and inspiring, usually good at summing up and understanding the origin of things, and practice makes perfect. So we don't have high requirements for ordinary students, and we can meet them but don't require them. The author's choice and fill in the blanks, especially the choice, is quite a part, and some papers can even get the correct answer within a few seconds after reading the questions. With this skill.