Usually, students just learn new knowledge that day, so they have no idea when they go back to do their homework at night. After seeing the answer, they realized that they had used a certain knowledge point. Usually this situation shows that you don't have a good understanding of the knowledge points and the basic knowledge is not solid, which leads to obstacles in thinking. For example, you may know the content of the theorem, but you don't know how to use it. You can only stare blankly at the topic and can't write the answer.
I can't solve the problems, and I don't understand the connection between them.
Some students have no problem with basic questions and fill-in-the-blank questions, because many times these questions only use one knowledge point; I don't know what to do when I come into contact with a comprehensive problem that combines several knowledge points. When learning some knowledge points, generally speaking, the front and back pages are related, but there is no extensive network of knowledge points.
Mathematical knowledge does not need to be memorized, but depends on understanding the rules of the topic and using it flexibly. The experience sharing of those masters of science also depends on understanding ability, but the most important thing is that you should learn the basic knowledge well. Students with weak basic knowledge may not even understand the most important key points, but they have not mastered the basic knowledge. How can they understand it? Then first of all, we must work hard from the basic knowledge:
3. Recite the formula
When you solve a problem, no one can show the application of this knowledge point. You are not familiar with this knowledge point at all, so the most primitive method is to memorize it by rote. Mathematical knowledge formulas are generally not long, so it is not difficult to remember. At least it's much easier than reciting ancient poems.
Step 4 recite examples
If you understand the questions you don't understand after reading the answers, you must write them down and recite them. Although this is the most primitive method, I believe you will gradually understand the meaning after reciting it. After a certain period of accumulation, you will find your efforts useful.
Whether it is a knowledge point or an example, you must be able to remember and improvise to what extent; When reciting examples, we should pay attention to the ideas and solving methods of each step. These are the most standard and effective examples. As long as we can keep doing this, we can see the effect.
5. Look for ideas from the answers
When you ignore the purpose of solving the problem, you will think of every step above when you see the answer. What kind of thinking is used to analyze and understand these steps? At this time, you must be familiar with and master. Many questions have rules to follow, so as long as you master these rules, no matter how you use them, you can find solutions and find ideas in the answers, and you can solve this kind of problem quickly next time.
Don't blindly copy the answers. You've been copying it to no avail. In the process of reading the answer, we must think more about its source. How did you get out? Whenever you study, be sure to ask more why, and it will be of great help to you to know why.