1, what qualities do you need to overcome the finale?
Answer: (1) solid basic knowledge, (2) common mathematical models, (3) flexible problem-solving skills and (4) diverse problem-solving ideas.
2. How to shape the above characteristics?
A: Based on the syllabus of the senior high school entrance examination, combined with the real finale questions in recent 10 years, we carefully screened and studied, strengthened the special training of five kinds of finale questions, and improved the quality shaping.
(1) basis: the three theorems of vertex, symmetry axis, maximum value and circle of parabola;
(2) Models: symmetrical model, similar model, area model, etc.
(3) Skills: Simplify complex problems, make sports problems static, and specialize general problems;
(4) Thinking: functional thinking, classified discussion thinking, reduction thinking, and combination of numbers and shapes.
The senior high school entrance examination is coming. How to deal with the last math problem with selection function effectively in math review stage? Here are ten test-taking skills to solve the math finale of the senior high school entrance examination for your reference.
Re-analysis of the finale
To get high marks in the senior high school entrance examination, it is the key to overcome the last two comprehensive questions. For many years, the senior high school entrance examination took the synthesis of functions and geometric figures as the main form of the last question, and used the knowledge of triangles, quadrilaterals and circles. If you think this is the way to build a grand finale, you are wrong. The synthesis of equations and graphs is also a common synthesis method. This problem has also been found in the senior high school entrance examination papers of other provinces and cities in recent years. Dynamic geometry problem is a new type of problem. In the process of graphic transformation, we explore some invariant factors in graphics and combine operation, observation, exploration, calculation and proof. In this kind of problems, the acute triangle ratio is often used as a tool for geometric calculation. Its important role may appear in the finale. In short, we should never rely on guessing or betting on the last question.
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 finale 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 have the fear of the finale, thinking that they are at the same level, can't do it, and even give up without reading 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. Graphics or basic graphics needed for constructing theorems.
In the process of solving problems, it is sometimes necessary to add auxiliary lines. The requirements for students to add lines in the senior high school entrance examination are quite high, but almost all of them follow the principle of constructing graphs required by theorems or construct some common basic graphs.
6. If you can't do it, find similarity, have similarity and use similarity.
The finale involves many knowledge points and it is difficult to transform knowledge. Students often don't know how to start, and they should always look for similar triangles according to the meaning of the question.
7. Insist on invariants and be good at using the methods or conclusions adopted in the previous questions.
When the movement of the figure changes, the position, size and direction of the figure may change, but in this process, there are often some two line segments, or some two angles, or some two triangles corresponding to the position or quantitative relationship does not change.
8. Find information about various solutions in the topic.
There are more than one situation in which a graph may meet the conditions in motion, that is, two solutions or multiple solutions. How to avoid missing answers is also a headache for candidates. The information of multiple solutions can actually be found in the topic, which requires us to dig deep into the topic, in fact, it is repeated and serious examination.
9. 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 try to get the score of sub-topic (2).
10. Sub-grade: Just because you can't do a final exam question doesn't mean you don't understand it at all, and you can't do it at all. So you should emphasize subsection grading, which is based on subsection grading. Segmentation grading is based on the knowledge points examined in the examination questions. If you step on a knowledge point, you will get points, and if you step on it, 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.
The finale should be done according to one's ability
Many high-scoring candidates are likely to get stuck in the final finale. After the previous questions are completed quickly, candidates don't check, but spend time studying the finale. This practice is "not worth the loss." Candidates are advised to put down their research after checking the previous questions. 2009 Shanghai Yangpu Senior High School Entrance Examination English Zhenti and Answers 2009 Shanghai Zhabei Senior High School Entrance Examination English Zhenti and Answers 2009 Shanghai Xuhui Senior High School Entrance Examination Math Zhenti and Answers 2009 Shanghai Baoshan Senior High School Entrance Examination Math Zhenti and Answers 2009 Shanghai Chongming Senior High School Entrance Examination Math Zhenti and Answers View all document resources of senior high school entrance examination >>