To achieve good results in the college entrance examination, we must first have solid basic knowledge, skilled basic skills, and mathematical ability cultivated through years of hard study. At the same time, it depends on improvisation. Based on the characteristics of mathematics, this paper talks about some suggestions for college entrance examination, so that students will not panic on the spot in the tense college entrance examination and play beyond their level.

First, enter the "role"

Sleep for eight hours the night before the exam, have a light breakfast in the morning, bring all the utensils according to the list, and arrive at the examination area half an hour early. On the one hand, it can eliminate new stimuli, stabilize emotions and enter the venue calmly. On the other hand, it also leaves time for entering the "role" in advance-let the brain start simple mathematical activities and enter a single mathematical situation.

For example:

1. Check whether you have all your utensils (pens, erasers, drawing tools, ID cards, admission tickets, etc.). ).

2. Put some basic data, common formulas and important theorems through movies.

3. Take a final look at the unforgettable conclusion.

4. Ask and answer some uncomplicated questions.

Some experiences show that the success of "watching movies" and the pleasure and relaxation of asking and answering questions can not only transfer the fear before the exam, but also help to bring the best competitive state into the examination room.

Second, the spirit should be relaxed and the emotions should be controlled.

The most likely to lead to psychological tension, anxiety and fear is the "battle" stage after admission and before answering questions. Here are three ways to maintain psychological balance:

① Distraction method: Avoid the examinee's eyes, and turn your attention to an evaluation lecture of the mathematical simulation college entrance examination that impressed you deeply, or to the memories of interesting and funny things in the past.

(2) Self-consolation method: for example, "I took too many college entrance examinations, which is nothing", "The college entrance examination and independent homework under the supervision of teachers are nothing more than a change of environment" and so on.

③ Restraint thinking method: sit with your eyes closed, breathe through your abdomen, relax your limbs, take a deep breath, exhale slowly, and curl up.

Third, quickly understand the "topic"

When I first get the test paper, I'm usually nervous, so there's no need to answer it in a hurry. I can read the whole paper from beginning to end, back and forth, try to get the most information from the surface of the paper, and make a comprehensive investigation for implementing the correct problem-solving strategy. I can usually do three things in ten minutes.

1. Solve those simple choices or fill-in-the-blank questions that can be seen at a glance (once solved, the mood will be stable immediately).

2. Questions that can't be answered immediately can be roughly divided into two categories: A refers to questions that are familiar and easy to estimate, and B refers to questions that are unfamiliar and feel difficult.

3. Pay attention to three questions: there are several questions in the whole volume to prevent missing questions. Each question should be well aware and roughly distinguish which questions belong to algebra, trigonometry and synthesis.

Reading through the whole volume is an effective measure to overcome "the difficult problems in front can't be done, and the easy problems behind can't be done", and it is also an effective measure to prevent "missing questions" fundamentally.

Fourth, be confident and suggest relying on yourself.

In the answer sheet, when you see simple questions, be careful, don't get carried away, and beware of "carelessness." In the face of difficult problems, be patient and don't worry. In the whole process of college entrance examination, we must confirm the belief that "I will do what others will, and I will do what others will not", so that we can always be in the best competitive state.

Five, first three, then three.

After reading the complete volume and answering simple questions for the first time, the mood tends to be stable and the brain tends to be excited. The next 70 or 80 minutes will be the golden season to play the best or harvest rich fruits. Practice has proved that the perfect score is very few, and the vast majority of candidates can only get some questions or some points. Therefore, it is wise to implement the art of "three first and three later" and "scoring by sections" in the college entrance examination.

1. Easy first, then difficult. In other words, do simple questions first, and then do complex questions; Do the class A questions first, and then do the class B questions. When you answer the second time (easy to browse and answer the first time), you don't have to stick to the order from front to back. You should according to your own reality, from easy to difficult, skip the difficult questions.

2. First high (points) and then low (points). This mainly means that the second half of the college entrance examination pays special attention to time efficiency. For example, if you can do both questions, then do the high-scoring questions first, and then do the low-scoring questions, so that you can lose less points in the case of insufficient time; In the last ten minutes, we will also "grade" the high-scoring questions that we can't get down, and improve the scores on the premise of insufficient time.

3. Similarity before difference. In other words, you can consider doing the same type of topic in your classmates' class first. This kind of thinking is more concentrated, and the exchange of knowledge or methods is easier, which is conducive to improving the efficiency of unit time. Generally speaking, we should shift the "exciting focus" when solving problems in the college entrance examination, transpose algebra and geometry when thinking, and jump from one chapter to another, but "being in front of the same" can avoid the "exciting focus" jumping too fast, too frequently and too steeply.

Three books are in the front and three books are in the back. It should be combined with the actual situation and should vary from person to person. Beware that "high scores can't be attacked for a long time, and low scores can't be taken care of."

Six, one slow and one fast.

In other words, the examination of the questions should be slow and the questions should be done quickly.

The topic itself is the information source of "how to solve this problem", so we must read the topic word by word, and strive to really see the meaning of the topic from the aspects of grammatical structure, logical relationship and mathematical significance. The practice of solving problems shows that conditional prediction can understand and inspire the means of solving problems, and conclusion prediction needs to understand and guide the direction of solving problems. Any topic that can't be written clearly must be given in secret. Only by carefully examining the topic can we get as much information as possible from the topic itself. Don't be afraid of being slow.

After finding a solution to the problem, writing should be concise, fast and standardized, not slow and repetitive, especially to avoid gilding the lily. Generally speaking, writing one principle at a time is enough. As for the transitional knowledge that is not a topic test, you can write a conclusion directly. The college entrance examination allows reasonable omission of non-critical steps.

In order to improve writing efficiency, mathematical language and symbols should be used as much as possible, which is more economical and rigorous than written narration.

Seven, segmentation score

For the same topic, some people have a deep understanding, some people have a shallow understanding, some people have a lot of understanding, and some people have little understanding. In order to distinguish this situation, the college entrance examination scoring method is to give as many points as you know. We call this method "grading by stages" or "grading by stepping on points"-if you step on knowledge points, you will get points, and if you step on more points, you will get more points.

In view of this situation, it is a clever move to adopt the strategy of "grading by sections" for difficult questions in the college entrance examination. In fact, the "segmentation" of candidates is the logical necessity of the "segmentation" of the college entrance examination. The basic spirit of "sub-scoring" is to strive for no loss of points on the topics you can do and strive for more points on some topics you understand.

1. For the problems that can be done, we should solve the long-standing problem of "meeting but not right, right but not complete". Some candidates got the question and did it clearly, but the final answer was wrong-yes but no, some candidates' answers were correct, but there were logical defects or conceptual errors, or key steps were missing-yes but incomplete. Therefore, we should pay special attention to the accurate expression, careful thinking, standardized writing and scientific language of the topics we can do to prevent being deducted by sections. Experience shows that for the topics that candidates can do, the marking teacher pays more attention to finding reasonable components and grading them in stages, so "it is easy to get one or two points for the topics that can't be done, and it is difficult to get full marks for the topics that can be done".

For the vast majority of candidates, it is more important to score from the questions that can't be taken down. We say that what kind of problem-solving strategy there is, what kind of scoring strategy there is. Writing down the real process of your problem solving is the whole secret of "grading by stages"

① Step-missing solution

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. Especially those problems with obvious problem-solving level, or procedural methods, can score every step of calculus. Although the final conclusion has not been reached, the score is over half. It's called "getting points for big questions", which is really a good idea.

(2) Skip answering questions

It is common that the process of solving problems falls into a transitional link. At this time, you can admit the intermediate conclusion first, and then push it backwards to see if you can draw a conclusion. If not, it means that this road is wrong and change direction immediately; If you can reach the expected conclusion, come back and concentrate on overcoming this "stuck place".

Due to the time limit of the college entrance examination, it is too late to overcome the "stuck place", so you can write down all the previous ones, and then keep writing "After confirming a certain step, there will continue to be ……". This is a skip answer.

Perhaps, later, the intermediate steps were thought out again. At this time, don't insert it at will, but add it at the back, "In fact, a certain step can be proved or calculated as follows" to keep the paper clean and tidy. If there are two questions in the topic, and you can't think of the first question, you can make the first question "known" and "do the second question first", which is also a solution to skipping.

③ Reverse solution

"Retreat for progress" is an important problem-solving strategy. If you can't solve the problem, then you can go from general to specific, from abstract to concrete, from complex to simple, from whole to part, from strong conclusion to weak conclusion. In short, retreat to a problem that you can solve. In order to avoid the misunderstanding of "generalizing", we should come straight to the point and write "There are several situations in this question". In this way, it will also provide meaningful inspiration for finding correct and universal solutions.

④ Auxiliary solution

A complete answer to the question includes both major substantive steps and minor auxiliary steps. Before finding substantive steps, it is wise to find auxiliary steps, which are both essential and not difficult. Such as: drawing accurately, translating the conditions in the topic into mathematical expressions, setting the unknowns of application questions, etc.

Writing is also an auxiliary solution. "Neatly written and graded on paper" means that a good first impression will have a halo effect on the psychology of marking teachers: writing carefully-studying hard-getting good grades-giving high marks.

Some multiple-choice questions, "bold guess" is also an auxiliary solution, in fact, guessing is also a kind of ability.

Eight, focus on speed

For example, there are 22 math test papers in the college entrance examination, and the college entrance examination lasts for two hours, with an average of about 5.5 minutes per question. In order to leave enough time for solving middle and high-level questions, each multiple-choice question and fill-in-the-blank question should be solved within one to two minutes. If these questions take too long, even if they are done correctly, they are "potential loss of points" or "implied loss of points". Generally speaking, the time allocation between objective questions and subjective questions is 4: 6.

Nine, based on the middle and lower topics, and strive for a high level

Usually homework is done according to all topics, but the college entrance examination is not. Only a few students can hand in full marks, because time and the difficulty of a single question do not allow most students to complete and do all the questions correctly, so they should base themselves on the middle and lower questions in the answer sheet. The middle and lower level questions usually account for more than 80% of the whole paper, which is the main composition of the test questions and the main source of candidates' scores. Students can win these questions, which is actually a victory in mathematics. With the mentality of winning, they will be more open to overcome high-level problems.

Ten, based on a success, pay attention to the review process, do not dispute the first volume.

On the answer sheet, we should be slow and steady, well documented, step by step, strive for a success and improve the success rate. After the test questions are finished, carefully check whether there are empty questions, whether the answer sheet is accurate, whether the letters written are consistent with the figures in the questions, whether the format is standardized, and especially whether the letters and symbols are copied incorrectly.

You can't hand in your papers until you are sure there are no problems. You would rather stick to the final exam for one minute than be the first person to hand in the paper.