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 sub-topics in the final exam. The degree of difficulty is: sub-topic (1) is easy, sub-topic (2) is moderate, and sub-topic (3) is difficult. When you answer, you must get the score of sub-topic (1), and sub-topic (2) should strive to get the score.
6. Grading by section: Just because you can't do the last question in the senior high school entrance examination doesn't mean you don't understand at all, and you can't do it at all. So you should emphasize grading by sections, and the basis of grading by sections is grading by sections. The score of the senior high school entrance examination is graded according to the knowledge points examined in the topic. If you step on knowledge points, you will get points; if you step on more points, you will get more points. Therefore, we should try our best to understand and do the finale of the senior high school entrance examination, give full play to our own level, and turn the finale of the senior high school entrance examination mathematics into the most valuable finale.