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Twelve methods of solving mathematics problems in senior high school entrance examination
Twelve methods of solving mathematics problems in senior high school entrance examination

Introduction: I'll bring you 12 methods to solve math problems in the senior high school entrance examination. I hope I can help you. Thank you for reading. Enjoy your reading.

Method one: one? Slow? One? Quick? , complement each other.

Some candidates only know that the examination room should be fast, and as a result, the meaning of the question is unclear and the conditions are incomplete, so they are eager to answer. Don't you know that haste makes waste, and as a result, their thinking is blocked or they walk into a dead end, leading to failure. It should be said that the questions should be slow and the answers should be quick. Examining questions is the whole process of solving problems? Basic engineering? , the topic itself is? How to solve the problem? We must fully understand the meaning of the problem, synthesize all conditions, extract all clues, form an overall understanding, and provide a comprehensive and reliable basis for the formation of problem-solving ideas. Once an idea is formed, it can be completed as quickly as possible.

Method 2: Make sure the calculation is accurate and based on one success.

The number of math college entrance examination questions is 120 minutes and 26 questions. The time is very tight, so it is not allowed to do a lot of detailed post-solution tests, so we should try our best to calculate accurately (key steps, strive for accuracy, rather slow than fast) and base ourselves on one success. The speed of solving problems is based on the accuracy of solving problems, not to mention that the intermediate data of math problems often come from not only? Quantity? In, from? Natural? In fact, it affects the answers of the following steps. Therefore, under the premise of taking speed as the first priority, we should be steady and steady, well-founded at all levels and accurate step by step. We should not lose accuracy or even important scoring steps in pursuit of speed. If speed and accuracy cannot be achieved at the same time, we have to be quick and accurate, because the answer is wrong, and it is meaningless to be quick.

Method 3: adjust the brain thinking and enter the mathematical situation in advance.

Before the exam, we should abandon distractions, eliminate distractions, and let the brain be there? Blank? State, create a mathematical situation, then brew mathematical thinking and enter ahead of time? Role? By counting appliances, we can remind people of common misunderstandings and their own mistakes in solving problems, and give targeted self-comfort, so as to reduce pressure, go into battle lightly, stabilize emotions, enhance confidence, simplify and mathematize thinking, and prepare for the exam with a stable, confident and positive attitude.

Method 4:? Tight inside and loose outside? Concentrate on eliminating anxiety and stage fright.

Concentration is the guarantee of success in the exam. A certain degree of nervousness and nervousness can accelerate the nerve connection, which is conducive to positive thinking. It is called internal tension, but if you are too nervous, you will go to the opposite side, forming stage fright, causing anxiety and inhibiting thinking. So be sober, happy and open-minded, which is called external relaxation.

Method 5: Take the challenge calmly, ensure the victory, and thus boost the spirit.

A good beginning is half the battle. From the psychological point of view of examination, this is indeed very reasonable. After you get the test questions, don't rush for success, and start solving the problems immediately. But to go through the whole set of questions, understand the questions thoroughly, and then take one or two easy questions and let yourself produce them? Capture the flag? Pleasure, so as to have a good' start', cheer up the spirit, inspire confidence, and soon enter the best mental state, that is, play the so-called psychology? Threshold effect? After doing a question, you can get a question, constantly generating positive incentives, steadily grasping the middle and low, and occasionally climbing.

Method 6: Avoid the affirmation and negation of conclusions and solve exploratory problems.

For exploratory questions, there is no need to pursue the "yes" and "no" or "yes" and "no" of the conclusion. We can synthesize all the initial conditions and conduct strict reasoning and discussion, then the steps will arrive and the conclusion will be self-evident.

Method 7: apply problem thinking: face? Point? line

To solve practical problems, we must first comprehensively examine the meaning of the problem and quickly accept the concept, which is called "face"; Through lengthy narration, grasping key words and putting forward key data, this is the "point"; Synthesize the connection, refine the relationship, and establish a mathematical model by mathematical method, which is called "line", thus transforming the application problem into a pure mathematical problem. Of course, the solution process and results are inseparable from the actual background.

Method 8:? Before six o'clock. Six o'clock? Because the volume is suitable for people.

After reading the whole volume and successfully completing the simple questions, the mood tends to be stable, the situation tends to be single, the brain tends to be excited, and the thinking tends to be positive. Then there is the golden season of exerting the ability to solve problems on the spot. At this time, candidates can choose to implement according to their problem-solving habits and basic skills, combined with the structure of the whole set of questions? Before six o'clock. Six o'clock? Tactical principles.

1. Easy first, then difficult. Is to do simple questions first, and then do comprehensive questions, should be based on their own reality, decisively skip the topics that can't be chewed, from easy to difficult, but also pay attention to take every question seriously, strive for practical results, and can't just skim through it and retreat when it's difficult, which hurts the mood of solving problems.

2. Mature first and then grow. Looking at the whole volume, we can get many favorable positive factors and some unfavorable factors. For the latter, there is no need to panic. We should think that the test questions are difficult for all candidates. Through this hint, you can ensure emotional stability. After grasping the whole volume as a whole, you can practice the method of pre-cooking, that is, you can do those questions with familiar content, familiar question structure and clear thinking of solving problems. In this way, while winning familiar questions, you can make your thinking fluent and extraordinary, and achieve the goal of winning advanced questions.

3. Similarity before difference. Doing the same topic in the same subject first, thinking more deeply, exchanging knowledge and methods easier, is conducive to improving the efficiency of unit time. College entrance examination questions generally require faster progress? The focus of excitement? Transfer, and then what? Different. Same as before? Can it be avoided? The focus of excitement? Jump too fast and too frequently, thus reducing the burden on the brain and maintaining effective energy. 4. Be small first and then big. Small problems are generally less informative and easy to master, so don't let them go easily. We should try to solve major problems as soon as possible before they appear, so as to gain time for solving major problems and create a relaxed psychological foundation. In recent years, most of the math problems in college entrance examination have become more and more difficult. Gradient problem? When you answer, you don't have to do it in one go, you have to solve it step by step. The solution of the previous question prepares the thinking foundation and problem-solving conditions for the latter question, so you should do it step by step, from point to surface. 6. that is, the second half of the exam, we should pay attention to time efficiency. If it is estimated that you can do both questions, then do the high score questions first. It is estimated that neither of the two questions is easy, so why don't you implement the high score question first? Score by segment? In order to increase the score on the premise of insufficient time.

Method 9: Emphasize standardized writing, and strive to be both 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 senior high school entrance examination mathematics papers. 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 in their studies, their basic skills are not too hard, and their "emotional score" is correspondingly low. This is the so-called psychological "halo effect". It is this truth that "the handwriting should be neat and the papers can be scored".

Method 10: Facing difficult problems, pay attention to methods and strive for scores.

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. Missing step solution. When a problem is really difficult to solve, a wise solution is to divide it into a sub-problem or a series of steps. First, solve part of the problem, that is, to what extent it can be solved. After calculating several steps, write several steps, and each step will get a score. 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. There are also simple situations such as completing the first step of mathematical induction, classified discussion, and reduction to absurdity, all of which can be scored. Moreover, it is expected that in the above treatment, from perceptual to rational, from special to general, from local to whole, we will have an epiphany, form ideas and successfully solve problems.

Step by step. 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 method is wrong and you can't get the correct conclusion immediately. If you can't get it, you can immediately change your direction 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, and the first problem can't be solved, you can call the first problem "known" and complete the second problem, which is called jumping 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.

Method 11: Take retreat as progress and base on specialization.

Divergence Generally speaking, for a relatively general problem, if you can't get a general idea at the moment, you can treat the general as special (for example, solving multiple-choice questions in a special way), treat the abstract as concrete, treat the whole as local, treat parameters as constants, treat weak conditions as strong conditions, and so on. In short, retreat to the extent that you can solve it, and solve the "special" by thinking and inspiring thinking, so as to achieve the purpose of solving the "general".

Method 12: Hold the cause, think backwards, and if it is difficult, it will be reversed.

When thinking in a positive way is blocked, we can often use the method of reverse thinking to explore new ways to solve the problem, so as to make breakthrough progress. If it is difficult to push forward, push back. If it is difficult to prove directly, disprove it. For example, we can use analysis to find sufficient conditions from positive conclusions or intermediate steps. By reducing to absurdity, we can find the necessary conditions from negative conclusions.

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