1, taking the coordinate system as a bridge, using the idea of combining numbers and shapes.
Throughout recent years, most of the final exam questions in various places are related to the coordinate system, which is characterized by establishing the corresponding relationship between points and numbers, that is, coordinates. On the one hand, we can study the properties of geometric figures by algebraic methods, on the other hand, we can get the answers to some algebraic problems through geometric intuition.
2. Take the knowledge of straight line or parabola as the carrier, and use the idea of function and equation.
Straight line and parabola are two important functions in junior middle school mathematics, that is, linear function and quadratic function. Therefore, no matter how to find its analytical formula and study its properties, it is inseparable from the idea of functions and equations. For example, to determine the resolution function, it is often necessary to establish equations or equations and solve them according to known conditions.
3. Use the variability of conditions or conclusions and the idea of classified discussion.
The idea of classified discussion can be used to test the accuracy and rigor of students' thinking, often through the variability of conditions or the uncertainty of conclusions. If we do not pay attention to the classified discussion of various situations, some problems may have wrong solutions or missing solutions. Throughout recent years, it has become a new hot spot to solve the final exam questions by classified discussion.
4. Synthesize multiple knowledge points and apply the idea of equivalent transformation.
Any mathematical problem can't be solved without returning to thought. The transformation in junior middle school mathematics generally includes the transformation from known to unknown and from complex to simple. As the final question of the senior high school entrance examination, we should pay more attention to the connection and transformation between different knowledge. A finale of the senior high school entrance examination is generally a comprehensive test that integrates algebra, geometry and trigonometry, so we should make full use of the idea of reduction. The final exam questions are not isolated knowledge points, nor are they personal ways of thinking. It is a comprehensive investigation of candidates' comprehensive ability, involving a wide range of knowledge and using comprehensive mathematical thinking methods. Therefore, some candidates are afraid of the finale, thinking that their level is average, they can't do it, and they give up without even looking at it. Of course, they don't get the points they deserve. In order to improve the scoring rate of the final question, it is necessary to have a scoring strategy of sub-topic and sub-paragraph.
5, sub-topic score
Generally, there are two or three small questions in the final exam of the senior high school entrance examination. The degree of difficulty is (1) making a minor problem easy, (2) making a minor problem moderate, and (3) making a minor problem difficult. When you answer, you must get a score of (1), and try to get a score of (2) and a score of (3).
6. Score by market segment
Doesn't mean that the final exam questions won't be done. Doesn't mean you don't understand it at all, and you can't do it at all. So you should emphasize the subdivision score, which is based on the "subdivision score". The scores of the senior high school entrance examination are based on the knowledge points examined in the questions. If you step on a knowledge point, you will get points, and if you step on it, you will get more points. Therefore, for the finale of the senior high school entrance examination, we should try our best to understand and do it, give full play to our own level, and turn the finale of the senior high school entrance examination mathematics into the most valuable finale.
Second, the importance of the idea of doing the problem:
The process of solving mathematical problems is a process of getting answers step by step through rigorous mathematical logic deduction and calculation, which contains many steps to solve problems with different mathematical ideas. In mathematics learning, one of the main tasks of students is to refine and systematically summarize a series of mathematical ideas contained in various mathematical problems, and implement them systematically in the process of mathematics learning.