Solution to the Final Problem of Mathematics in College Entrance Examination
Correctly understand the finale
The grand finale is mainly composed of three parts: function, solution and order, and there are generally three minor problems. Remember: the first little question is simple! Try to be right! The second small question is a difficult problem, try to get points! The third question is the most difficult question in the whole paper! Still have to work hard to get points!
In fact, for all the students who carefully review for the exam, they have the ability and strength to get about half of the final score. To get about half the score, you don't need a lot of targeted training or complicated thinking. You just need to have the right attitude! Self-confidence is very important and courage is indispensable. Remember, students: the one with high psychological quality wins!
Simplify the complex and calculate as much as you can.
If you encounter a difficult problem, it's really chewy. A clever strategy to solve a problem is to break it down into a series of steps or small problems. Solve some problems first, solve as many as you can, and write as many steps as you can. Failure does not mean failure. In particular, those problems with obvious problem-solving level or stylized methods can be scored at every step of calculus. Although the final conclusion has not been reached, the score is over half, because the score is not just about the results.
Attach importance to the examination of problems.
Your mentality is to cherish the conditions given to you in the topic. There are no more or less conditions for math problems. A given question will not be useless. On the other hand, you must believe that the given conditions will definitely reach the correct answer. Therefore, when solving problems, everything should start from the subjective conditions. Only in this way can everything be possible.
skill
The answer to the first question in the big question is the condition of the next question. Many students neglected an important condition when doing the finale, which is the answer to the first small question. Generally, the first question is very simple, and the second question is very difficult. Some students ignore the important factor that the answer to the first question can be used as the condition of the next question, so it will take a long time to solve it. Candidates are advised to take the answer to the first question into account when listing the conditions given in the questions. Of course, not every big ending question is like this, and there are many different small ending questions that give different conditions. Candidates are expected to improvise according to the actual situation.
Inverse solution
"Retreat for progress" is an important problem-solving strategy. For a relatively general problem, if it can't be solved for a while, we can retreat from the general to the special, from the abstract to the concrete, from the complex to the simple, from the whole to the local, from the parameters to the constant, and from the strong conclusion to the weak conclusion. In short, retreat to a problem that you can solve, and solve the "special" by thinking and inspiring thinking, so as to achieve the purpose of solving the "general".
Calm down and don't be nervous.
Mentality is very important when doing problems. Some students are easily upset, nervous, cold sweat or give up on themselves if they can't answer, which is the most taboo in the college entrance examination. If there is enough time, it is suggested that students train their mentality at the finale. Even if they can't do it, they should be calm and pay attention to the control of time.
The highest level of doing the finale problem is that it is not difficult. Only the process of doing the problem is to infer new conditions according to the conditions of the problem and finally get a conclusion. Give up decisively if you can't answer, and answer if you can. The teacher will give points according to the scores.
Problem-solving skills of mathematics problem-solving in college entrance examination
Cherish the conditions given to you in the title. There are no more or less conditions for math problems. A given question will not be useless. On the other hand, you must believe that the given conditions will definitely reach the correct answer. Therefore, when solving problems, everything starts from the conditions of the topic. Only in this way can everything be possible.
Among the four problem-solving steps of mathematician Paulia, the first step is particularly important. In the step of solving problems, there is another skill: when you have no idea about the whole problem, step 1 leads the problem conditions to "new conditions", and step 2 leads the problem conclusion to "new conclusions".
Step 1 is to ignore the part of the topic that you don't understand, just make what you can do first, and deduce what you can do according to the topic conditions, so as to get the "new conditions". The second step is to draw the conclusion of the topic. What conclusion do I need to get first? This is the so-called "new conclusion". Then look for the relationship between "new conditions" and "new conclusions". The difficulty of a difficult problem is that the relationship between the conditions and conclusions of the topic is difficult to establish, and the relationship between the "new conditions" and "new conclusions" introduced by ourselves is often easier to establish than the original question, which means that the problem is more likely to be solved!
Finally, I would like to remind you that although we think the last question has an easy-to-score part with considerable scores, it is the last stage of the whole exam after all. A spent force cannot be worn away, and fatigue is inevitable. Therefore, students should be extra careful when doing the last question to avoid the regrettable result that the easy-to-score part loses points because of fatigue.
Analysis method of mathematical finale in college entrance examination
1, comprehensive, highlighting the application of mathematical thinking methods.
In recent years, on the basis of examining basic knowledge, we pay attention to the examination of mathematical thinking methods and mathematical ability. The examination of mathematical thinking method is an abstract and generalized examination of mathematical knowledge at a higher level. The final question of mathematics college entrance examination has changed from simple knowledge superposition to the synthesis of knowledge, methods and abilities, especially the question of innovation ability. The final question is the essence of college entrance examination questions, which has the characteristics of large knowledge capacity, many problem-solving methods, high ability requirements, highlighting the application of mathematical thinking methods, and requiring candidates to have a certain sense of inquiry, innovation and innovation.
2. High viewpoint and integration with advanced mathematics knowledge.
The so-called high viewpoint problem refers to some mathematical problems related to higher mathematics. This kind of questions are based on the knowledge of advanced mathematics, or reflect the mathematical thinking methods and reasoning methods commonly used in advanced mathematics. Because of the selection function of the college entrance examination, such questions are often favored by proposers. In recent years, there have been many high-viewpoint questions with novel backgrounds and ingenious questions, which have become a beautiful landscape in the college entrance examination questions.
3. Intersection, emphasizing the intersection of various branches of mathematics.
In recent years, on the basis of examining the basic knowledge, college entrance examination questions pay attention to designing questions at the intersection of knowledge networks, and attach importance to the examination of mathematical thinking methods and mathematical ability. The finale of college entrance examination focuses on the synthesis and intersection of various branches of mathematics, which is conducive to strengthening the examination of candidates' ability to analyze and solve problems.
4. The conclusion or condition is novel.
In this kind of test questions, they are often rich in connotation, novel in conception, refined in expression, fresh in background, unique in questions, pleasing to the eye, memorable and refreshing.