The basic knowledge of junior high school mathematics refers to the concepts, laws, formulas, theorems and other necessary contents in mathematics textbooks and the mathematical thinking methods contained therein, as well as the experience of learning mathematics and solving problems, which are embodied in the following aspects:
1. Correctly understand and master the basic concepts, laws, formulas and theorems learned, and master their internal relations.
For example, the score is meaningless, and the value range of x should be. Some students fill in x=3, which is wrong. Because there is a concept here, that is, the concept of meaningless fraction and a rule for calculating absolute value, only by fully understanding and mastering this concept and a rule can we know that |x|-9=0 and get the correct answer of x = 3. Moreover, because mathematics is a highly coherent subject, correctly grasping the absolute value will lay a good foundation for us to learn quadratic roots in Grade Two and irrational equations in Grade Three. Therefore, if you encounter difficulties in learning something or solving a problem, it is probably because you have not mastered some relevant and previous basic knowledge. Therefore, you should pay attention to leak detection, find problems and solve them in time, and strive to find a problem and solve it in time. Only with a solid foundation will our grades improve.
2. Cultivate mathematical operation ability and develop good study habits.
After every exam, we often hear some students say: I was careless in this exam again. One of the most careless phenomena is the error caused by skipping steps, and it is repetitive. In fact, this is the psychology of quick success with poor study habits and poor mathematical operation skills. You know, every step of a math problem is completed according to certain rules. If a step is ignored in the process of solving a problem, it will happen that the rules of this step are not applied correctly, and then a wrong solution will be produced. Therefore, the improvement of operation ability is fundamentally to understand "arithmetic", not only to know how to calculate, but also to know why, so as to master the direction, method and procedure of operation and complete it step by step in detail, thus forming accurate and fast operation ability. Students should pay attention to the fact that if you have the above-mentioned similar jumping phenomenon, you should correct it in time, otherwise in the long run, you will have a sense of fear and worry about making mistakes before you start solving problems, so the more mistakes you make. Students who feel this way must get out of the misunderstanding quickly, so that the efficiency of learning can increase.