Enter the mathematical situation in advance.
Before the exam, we should abandon distracting thoughts, eliminate distracting thoughts, leave the brain in a "blank" state, create mathematical situations, then brew mathematical thinking, enter the "role" ahead of time, comfort ourselves by prompting important knowledge and methods, remind ourselves of common misunderstandings and mistakes in solving problems, relieve stress, go into battle lightly, and prepare for the exam with a steady, confident and positive attitude.
Respond to an attack calmly
Make sure the flag wins.
After you get the test questions, don't rush for success, but solve the problems immediately. Instead, we should go through the whole set of questions and thoroughly understand the situation. First, you should hold one or two easy-to-learn questions, so that you can have a good start, cheer up your spirit, boost your confidence and quickly enter the best mental state. Then you can get one question after another, and you will constantly generate positive incentives, steadily grasp the middle and low, and occasionally climb.
A "slow" and a "fast"
With each other's company, everyone is more radiant.
Examine the questions slowly and answer them quickly. Examination of questions is the "basic project" in the whole process of solving problems, and the questions themselves are the information sources of "how to solve problems". We must fully understand the meaning of the question, synthesize all the conditions, extract all the clues, form an overall understanding, and provide a comprehensive and reliable basis for the formation of problem-solving ideas.
"Five" before "Five"
Tailored for everyone.
1. Easy first, then difficult: that is, simple first, then comprehensive, take every problem seriously, don't just skim it, and retreat when it is difficult, which hurts the mood of solving problems. According to your own situation, skip the topic that you can't chew.
2. Pre-cooked: After grasping the whole volume as a whole, you can implement the pre-cooked method, that is, first do those questions with relatively good content, familiar topic structure and clear solution ideas. In this way, while winning familiar questions, you can make your thinking fluent and extraordinary, and achieve the goal of winning advanced questions.
3. First small, then big: small questions generally have less information, less calculation and are easy to master. Don't let them go easily. Before the big problem, we should try to solve it as soon as possible, gain time for solving the big problem and create a relaxed psychological foundation.
4. Let's start from the back: In recent years, most of the math problems in the college entrance examination have been presented as "gradient problems" with a large number of questions and great difficulty. When you answer, you don't have to do it in one go, you have to do it one step at a time. The solution of the previous problem has prepared the thinking foundation and problem-solving conditions for the later one, so you should do it step by step, from point to surface.
5. First high and then low: that is, in the second half of the exam, we should pay attention to time efficiency. If it is estimated that both questions can be done, do the high score questions first; It is not easy to estimate the two questions. First, the high-scoring questions should be graded by sections, and the score should be increased on the premise of insufficient time.
Ensure accurate calculation
Stand on a success.
The capacity of mathematics college entrance examination questions is 120 minutes and 26 questions, and the time is tight, so it is not allowed to do many detailed post-solution tests. Therefore, it is necessary to be steady and steady, well-founded and accurate step by step. You can't lose accuracy or even important scoring steps in pursuit of speed. If you can't have speed and accuracy at the same time, you can only be fast and accurate, because the answer is wrong, and it doesn't make sense to be fast.
Think backwards.
If it is difficult, it will be reversed.
When the positive thinking of a problem is blocked, it is often possible to make a breakthrough by using the method of reverse thinking to explore new ways to solve the problem. If it is directly proved that there are difficulties, it can be disproved. For example, with analysis, we can start with a positive conclusion or an intermediate step to find sufficient conditions. By reducing to absurdity, we can find the necessary conditions from negative conclusions.
Emphasize standardized writing
Strive to be correct and complete
Another feature of the exam is that the paper is the only basis. This requires not only conformity, but also correctness, correctness, completeness, completeness and standardization. Unfortunately, it will be wrong; Yes, but incomplete, the score is not high; Non-standard expression and scrawled handwriting are another major aspect that causes non-intellectual factors to lose points in the college entrance examination mathematics paper. Because the handwriting is scrawled, it will make the marking teacher have a bad first impression, and then make the marking teacher think that the candidates are not serious, the basic skills are not too hard, and the "emotional score" is correspondingly low. This is the so-called psychological "halo effect".
Facing difficult problems, pay attention to methods.
Strive for a score
Of course, we should strive to do the right thing, complete it, and get full marks. More questions are how to score the incomplete questions. There are two common methods.
1. Step-missing solution: When a difficult problem really can't be solved, the wise solution is to divide it into a sub-problem or a series of steps, and solve part of the problem first, that is, to what extent you can solve it, write a few steps if you can count them, and each step can get one point. For example, from the beginning, translating written language into symbolic language, translating conditions and goals into mathematical expressions, setting the unknowns of application problems, setting the coordinates of moving points of trajectory problems, and drawing figures correctly according to the meaning of problems can all be scored. Moreover, in the above processing, from perceptual to rational, from special to general, from local to whole, we can have an epiphany, form ideas and successfully solve problems.
2. Skip the solution: When the problem-solving process is stuck in an intermediate link, you can admit the intermediate conclusion and push it down to see if you can get the correct conclusion. If you can't get it, it means that this road is wrong. Change the direction immediately and find another way. If we can get the expected conclusion, we will go back and concentrate on overcoming this transitional link. If the intermediate conclusion is too late to be confirmed due to time constraints, we have to skip this step and write the subsequent steps to the end; In addition, if there are two problems in the topic, the first problem can't be solved, the first problem can be called "known" and the second problem can be completed. This is called skipping problem solving. Maybe later, due to the positive transfer of solving problems, I remembered the intermediate steps, or if time permits, I tried to catch the intermediate difficulties and could make up for them at the end of the corresponding questions.