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20 1 1 Mathematics for Senior High School Entrance Examination in Tianjin
The three methods and problem-solving skills of key analysis make you realize.

Choosing fill-in-the-blank questions is different from big questions, which only seek correct conclusions and do not follow the steps. So we can take a shortcut and use some answering skills to sum up three answering skills for this kind of questions.

1, exclusion method. According to the problem setting and related knowledge, the obviously incorrect options are excluded, so the only option left is the correct option. If you can't get the right options right away, you can at least narrow the range of options and improve the accuracy of solving problems. Exclusion is an indirect method to solve multiple-choice questions, and it is also a common method to solve multiple-choice questions.

2. Special value method. That is, according to the conditions in the topic, select special values that meet the conditions or make special graphics for calculation and reasoning. When solving problems with special value method, we should pay attention to selecting values that meet the conditions and are easy to calculate. This kind of question usually has the nature of * * *: some general conditions are given in the stem of the question, and some specific conclusions or numerical values are required. The conditions provided by the problem can be specialized when solving. Make it a general special figure or question, and the answers to these special figures or questions are often the answers to the original questions. Using special value method to solve problems, we can not only select special values to substitute into the original problem, so that the original problem can be solved, but also make special graphs that meet the conditions for calculation or reasoning.

3, through the method of guessing and measuring, directly observe or get the results. In recent years, this method is often used to explore the regularity of the senior high school entrance examination questions. The main solution to this kind of problem is incomplete induction, which can be solved by experiments, guesses, trial and error verification, and induction.

Precise winning test-taking strategy

1, carefully examine the questions. After getting the test paper, don't rush for success, answer immediately, but look at the whole volume and understand the topic thoroughly. First, look at the amount of questions, whether there is a printing problem; The second is to have a general understanding of the difficulty of the whole paper. Concentrate on the exam and carefully examine the questions. It is necessary to slow down the speech, clarify the meaning of the question word by word (more attention should be paid to the similarities and differences of the topic), and explore the internal relationship between implicit conditions and conditions from multiple levels to provide reliable information and basis for quick answers. Otherwise, blindly seeking quick and forgetting things will either hinder your thinking or give up all your previous efforts.

2. Answer in the order of test papers. The examination questions in the senior high school entrance examination are from easy to difficult. At the beginning of the exam, successfully answering a few simple questions can make candidates more confident and enter the best state of mind smoothly. Judging from the mathematics examination papers of the senior high school entrance examination in recent years, the examination time is very tight, and candidates have little time to check, so they need to answer questions carefully and accurately to strive for "one success".

3. Dare to "give up" temporarily when encountering problems, and don't waste too much time (generally speaking, it takes no more than 2 minutes to choose or fill in the blanks). After you have solved the problem you can do, you can concentrate on solving it. Maybe the following questions can inspire the problem.

4. The paper writing should be fast, neat and accurate, which can improve the speed and quality of answering questions. This year's senior high school entrance examination adopts computer marking, requiring candidates to fill in the answer sheet accurately, with neat handwriting and clear steps for big questions. The writing of the draft paper should be planned so as to be easy to retrieve.

5. adjust your mentality. Don't panic and lose heart when you have stage fright before the exam or fail a part of the exam temporarily. Be calm and adjust yourself.

Quantify the time of answering questions in mathematics middle school entrance examination

Interviewee: Li Jianguo, a third-year math teacher and researcher at Huangpu Normal University.

-Liszt's speech on quantifying the time for answering questions caused heated discussion. He said that the time for answering the math questions in the senior high school entrance examination was only 100 minutes, but he had done such an "experiment" before, and some math teachers would spend nearly half an hour copying down the math answers in the senior high school entrance examination completely. This intuitively reflects the "tension" of mathematics time in the senior high school entrance examination. To complete the question with a score of 150 in just 100 minutes, it is necessary to quantify the candidate's answering time. He divided the mathematics in the senior high school entrance examination into three parts, of which the first two parts were sub-topics, which were equivalent to the requirements of graduation examination. And the last part belongs to "pulling points". He believes that the first part is fill-in-the-blank questions and multiple-choice questions, and the senior high school entrance examination accounts for 72 points. Candidates should answer these questions in 20 minutes or even 18 minutes. The second part is four short answer questions, with ***40 points, and candidates should answer within 20 minutes. The third part of 38 points "pull point" * * * needs to complete four questions in the remaining 60 minutes.

Because the score is difficult to refine, candidates must pay close attention to the answer time of the first two parts and leave more time to think and answer the following questions. But Li Jianguo also stressed that this does not mean that we do not attach importance to "sending sub-topics". He said that the mathematics scores of key high school candidates in the general examination area should be above 140, and the key high schools in the city should be above 145. Therefore, candidates should not only strive to do a good job of "pulling sub-questions", but also ensure that the previous "sending sub-questions" do not drop zero points. This requires candidates to carry out two aspects of training at ordinary times, that is, to master basic knowledge and concepts and improve their own mathematical ability.

Special training can be used when reviewing at ordinary times. That is, fill-in-the-blank questions, multiple-choice questions and short-answer questions are classified into one category, and speed and accuracy are emphasized when doing the questions. In addition, make sure you can do the exercises in the math books for grades six to nine. After a period of training, candidates can lose less points or even zero points in this respect.

Candidates should also be classified when doing difficult problems. He believes that the final "pull-off problem" can be divided into: application problem, geometric problem, functional synthesis problem (moving point problem) and geometric synthesis problem (exploratory problem). Candidates can choose a category to make a breakthrough every day, do a problem every day and ensure complete understanding. Because these problems are an exercise of thinking, they need long-term training. Candidates should remember when doing the questions: "Make the big questions smaller" and "Simplify the complex".

Finally, Li Jianguo suggested that candidates can find out the test papers of the senior high school entrance examination in the last five years and the simulated test papers of all districts and counties, digest every question in these test papers, and find out their own weak links and make key breakthroughs through the comparison between "horizontal" and "vertical".

Answering skills in mathematics senior high school entrance examination

First, prepare for the exam

Before the exam, we should abandon distractions, eliminate all interference, and enter the state of mathematical thinking in advance. Close your eyes and think about the mistakes you are prone to in the exam, and then start counting the equipment in the examination room and easily enter the examination room. Doing so can enhance confidence, stabilize mood and let yourself enter the "role" in advance.

Second, 5 minutes before the exam

After you get the test paper, you should look at the whole volume and find out the topic. See if there are any printing problems, etc. At this time, you can't answer questions by hand, you can read questions, and you can selectively read some questions according to your own situation, such as questions with long topics or questions with certain difficulty.

Third, after starting to answer questions,

(1) Mark the things that you easily overlook and make mistakes on the draft paper, such as the area formula of triangle and the symbols of four quadrants. You can also write a sentence or two to remind yourself.

(2) Be attentive when carefully examining the questions, and be sure to be serious when examining the questions. It is necessary to slow down the speech, clarify the meaning of the question word by word (more attention should be paid to the similarities and differences of the topic), and explore the internal relationship between implicit conditions and conditions from multiple levels to provide reliable information and basis for quick answers. Otherwise, blindly seeking quick and forgetting things will either hinder your thinking or give up all your previous efforts.

(3) From easy to difficult is to do the easy questions first, and then do the difficult ones. At the beginning of the exam, successfully answering a few simple questions can produce the pleasure of "winning the flag", stimulate the brain and help to enter the best thinking state smoothly. In the exam, we should first do the questions with relatively good content, familiar question structure and clear problem-solving ideas. When encountering problems, you should dare to "give up" temporarily, and don't waste too much time (generally choose or fill in the blanks, no more than 2 minutes at a time), and then go back and concentrate on solving the problems you can do. From the senior high school entrance examination in recent years, it is not difficult to see that the arrangement of multiple-choice questions, fill-in-the-blank questions and answer questions is relatively backward. For example, in the senior high school entrance examination in 2006, there were four minor questions, among which the multiple-choice question was the last question, the fill-in-the-blank question was the last question, the answer was the last minor question of the last question, and the last minor question of the penultimate question. The situation of the examination questions in 2005 is exactly the same.

(4) Sub-grade In recent years, the math problems in the senior high school entrance examination have shown the characteristics of "easy to get up and difficult to get deep". The first question is easier, and the second and third questions are more difficult. Therefore, we should pay attention to "grading by sections" when answering questions, step by step. Get the first question first, make sure not to lose points, and then analyze whether the first question has prepared the thinking foundation and problem-solving conditions for the second and third questions, and strive to keep the second question and get the third question. The mathematical solution of the senior high school entrance examination is graded step by step. If the process is simple, more points will be deducted in case of mistakes, so the intermediate process should not be too simple, so that even if there are mistakes, the points can be deducted as little as possible. For another example, some inquiry questions often say: Please answer whether a proposition is true, and if so, please prove it. When you ask this question, most propositions are valid, so even if you can't prove it, just write the word "valid" and you will get 1 point. You can't answer some questions, but you can write some according to the meaning of the questions and often get some points. If you can't write the correct result correctly because time is too tight or you only know the result, write the correct answer.

(5) Skipping means that when you can't solve (or prove) the previous question, but you can solve (or prove) the next question, you can directly use the conclusion of the previous question to solve the next question. In the process of solving problems, we feel very troublesome or have not learned knowledge, so we must doubt the correctness or rationality of our problem solving.

(6) first change and then span. When you find that your answer is wrong, don't cross it out and rewrite it. This is because the re-corrected answer may not be much different from the crossed-out answer. Secondly, looking at a blank answer sheet requires a lot of effort to rethink. In addition, if you don't get it right after crossing it out, you will lose more than you gain.

(7) Lenovo guessing First of all, when you encounter a problem that you can't remember at the moment, don't focus on one goal, think from another angle, and start analogy association from the knowledge related to the topic. Such as "What does the textbook say?" "How do you write in your notebook?" "What did the teacher say?" "What problems have you solved with this knowledge before?" "Can you be professional?" "What about the limit position?" Wait a minute. In addition, don't try new questions at the end of the exam time. If the multiple-choice question is still uncertain, you can guess according to the probability that four multiple-choice questions will appear in the whole volume when some multiple-choice questions are excluded first.

(8) Quick, neat and accurate writing can not only improve the speed and quality of answering questions, but also leave a good impression on the marking teacher; The writing of the draft paper should be planned so as to be easy to retrieve. The exam should be strict and serious, and every step of each question should be checked with suspicion. For example, "Did you read the question wrong?" "Is the known condition in the question wrong?" , "is there anything missing? What's wrong? " Wait a minute. It is worth noting that when there are two kinds of uncertain answers in the investigation, generally speaking, "the correct answer is the first one that comes to mind".

Ten scientific answering skills of mathematics in senior high school entrance examination

Scientific answering skills can make you get twice the result with half the effort. In order to give full play to your ability level in the limited examination time, candidates need to master some basic answering skills that suit them. In order to let students give full play to their own strength in the exam and achieve ideal results, psychologists have summarized the following ten best answering skills:

1. Adjust your mentality and enter the exam subject situation in advance.

Before the exam, we should abandon distracting thoughts, eliminate distracting thoughts, leave the brain in a "blank" state, create the exam theme situation, and then brew the theme thinking and enter the "role" in advance. By counting appliances, reminding us of important knowledge and methods, reminding us of common misunderstandings and mistakes in solving problems, we can divert our anxious and nervous attention, reduce stress, make our thinking single and thematic, and ensure that we enter the exam with a stable, confident and proactive attitude.

2. "Tight inside and loose outside", concentrate and eliminate 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. Make the attention highly concentrated and the thinking extremely positive, which is called internal tightness. But if you are too nervous, you will go to the opposite side, form stage fright, cause anxiety and inhibit your thinking, so you should be sober, happy and open-minded. This is called external relaxation.

Calm down and fight to ensure victory, so as to cheer up.

A good beginning is half the battle. From the psychological point of view of examination, this is indeed very reasonable. After getting the test questions, don't rush for success, solve the problem immediately. Instead, we should go through the whole set of questions, get a thorough understanding of the situation, and then firmly grasp one or two easy or familiar questions, so as to have the pleasure of "winning the flag", gain a successful experience, have a good start, invigorate the spirit, inspire confidence, and quickly enter the best psychological state, which is called "threshold effect" in psychology. When you do a question, you get a question, which constantly generates positive incentives, firmly grasps the middle and low difficulty questions, and digs the difficult questions according to the situation.

4. "Six before six" 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 point, candidates can choose to implement the tactical principle of "six first and six later" according to their own problem-solving habits and basic skills, combined with the structure of the whole set of questions.

(1) Easy first, then difficult. Is to do simple questions first, and then do comprehensive questions. We should resolutely skip the stubborn topic according to our own reality. From easy to difficult, we should also pay attention to taking every problem seriously and strive to be effective. Don't take a cursory look, and retreat if it is difficult, so as not to affect the mood of solving problems.

(2) mature first. Looking at the whole volume, we can draw many positive factors and some shortcomings. For the latter, don't panic, think that the test questions are difficult, not for individuals, but for all candidates. Through this hint, you can ensure emotional stability. After grasping the whole volume as a whole, you can implement the strategy of "cooked before finished", that is, do those questions with relatively good content, familiar topic structure and clear solution ideas first. 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 the same, then different. In other words, it is easier to exchange knowledge and methods by doing the same subject and the same type of topic first, which is conducive to improving the efficiency of unit time. The college entrance examination questions generally require the "exciting focus" to shift quickly, and "the same first and then different" can avoid the "exciting focus" jumping too fast and too frequently, thus reducing the burden on the brain and maintaining effective energy.

(4) small first, then big. Small problems are generally small in information and calculation, easy to grasp and should not be easily let go. We should strive to solve major problems as soon as possible before they appear, gain time for solving major problems, and create a relaxed psychological foundation.

(5) Click Return first. In particular, in recent years, most of the math problems in the college entrance examination have been presented as "gradient problems" with a large number of problems and great difficulty. When you answer, you don't have to go through the whole process, you have to take one step at a time. The solution of the previous question prepares the thinking foundation and problem-solving conditions for the answer of the later question, so you should step by step, from point to surface.

(6) First high and then low. 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 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.

5. "Slow" and "fast" 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. 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, refine all the 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.

6. Pay attention to standard writing, and strive to be both correct and complete.

Paper is an important factor affecting scores. Therefore, it is necessary to ensure correctness, completeness and standardization. Unfortunately, it will be wrong; Yes, but incomplete, the score is not high; Irregular expression and scrawled handwriting will lead to loss of points. Because the handwriting is scrawled, it will leave a bad first impression on the marking teacher, and then let the marking teacher think that the candidates are not serious in their studies and their basic skills are not too hard, so the "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".

7. Facing difficult problems, pay attention to strategies and strive for scores.

Of course, you must do the questions correctly and completely, and get full marks, but candidates often encounter questions that cannot be answered correctly in the examination room. The following two methods can be adopted:

(1) Missing step solution. When a problem is really difficult to solve, it is wise to divide it into small problems or a series of steps. First, solve some problems, and to what extent, write a few steps if you can count them, and each step will get one point.

(2) jump to answer. When the problem-solving process is stuck in the middle, you can admit the intermediate conclusion and push it down to see if you can get the correct conclusion. If you can't come to a correct conclusion, it means that this road is wrong, change the direction immediately and find another way; If you can get the expected conclusion, then go back and concentrate on conquering the intermediate 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. These are called jumping answers. 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.

8. Retreat for progress, base on special, general divergence.

For a more general problem, if you can't get a general idea at the moment, you can take the general as special (for example, solving multiple-choice questions in a special way), abstract as concrete, whole as part, parameters as constant, 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".

9. Think backwards. If it is difficult, think backwards.

When the positive thinking of a problem is blocked, using the method of reverse thinking to explore new ways to solve the problem can often make breakthrough progress. Push forward if you have difficulty, and push back if you directly prove that you have difficulty. If you use analytical methods, start with positive conclusions or intermediate steps to find sufficient conditions; By reducing to absurdity, we can find the necessary conditions from negative conclusions.

10. Avoid affirming and denying the conclusion and solve exploratory problems.

For exploratory problems, it is not necessary to pursue the "yes" and "no" of the conclusion, "yes" and "no", and all the initial conditions can be combined for strict reasoning and discussion. In this way, the steps come and the conclusion is self-evident.

One: Reasonable arrangement of time:

When doing problems, we should first arrange our time reasonably and adjust our mentality. Generally, it takes about 30 minutes to complete multiple-choice questions and fill-in-the-blank questions. When doing this sub-topic, if there are 1 and 2 questions with thinking difficulties, put them down first and continue to do the middle questions. I have finished the questions I can do, and I will analyze these two questions later. Generally, there are about 40 minutes left in two difficult comprehensive questions.

Second, pay attention to methods and skills;

(1) redraw: When you can't figure out the problem, try to redraw it according to the conditions, and you may find a breakthrough.

② Think from another angle: as shown in Figure A, find the blank area. After translating the figure, you can find the area of the blank part of figure B.

(3) Comprehensive consideration:

For example, the unary quadratic equation X (1-2k) x2-2x- 1 = 0 has two unequal real roots. How to find the value range of k?

In this problem, we not only consider △ > 0, quadratic coefficient 1-2k ≠ 0, but also consider the median k+ 1 ≥ 0.

(4) to overcome the mindset:

For example, isosceles triangle, consider not only isosceles triangle with acute apex angle, but also isosceles triangle with obtuse apex angle and isosceles triangle with right apex angle.

"Two circles intersect" not only considers the situation that the center of the circle is on both sides of the same chord, but also considers the situation that the center of the circle is on the same side of the same chord.

⑤ Find out the conditions and clear the train of thought:

Comprehensive questions often have several questions, so it is very important to understand the relationship between general conditions and sub-conditions. The following heading is an example:

It is known that AB is the diameter of OO, BC is the tangent of OO, OC and OO intersect at point D, and even AD and BC intersect at point E. ..

(1) If BC =, CD = 1, find the radius of OO.

⑵ Take the midpoint f of BE and connect DF, which proves that DF is the tangent of OO.

(3) The intersection point D is DG⊥BC, the vertical foot is G, and DG and OE intersect at m. ..

① Verification: DM = GM

② Connect BM, extend the intersection point with OC at point N, try to judge the positional relationship between on and OO, which is centered at point N and passes through point E, and explain the reasons.

Analysis:

(1), (2) and (3) are in parallel, that is, (1) Conclusion (2) cannot be used, (3) cannot be used; (2) Conclusion (3) cannot be used either. In question (3), questions (1) and (2) are progressive, that is, conclusion (2) in question (1) can be used.

Answer the blanks first. Generally speaking, fill-in-the-blank questions are basic concepts, and basic operation questions are easier to score. Of course, if the calculation questions or proof questions in the test questions are similar to the examples given by teachers who usually read books or attend remedial classes, they can be done first. Secondly, do calculation problems; Finally, solve multiple-choice questions, because some multiple-choice questions are very conceptual and have high calculation skills. Mathematics is a headache for most postgraduate students, and answering questions is the key. If the math subjects of the two candidates are not much different, it is to distance themselves from each other in answering questions. Here are seven math answering skills.

First, determine the order of practice. You can choose the order of filling in the blanks, calculating, choosing and proving when you do the questions, because the multiple-choice questions are relatively few, which mainly requires you to master some basic knowledge, which is rather confusing. It takes a lot of time to analyze and choose, and some multiple-choice questions require a lot of calculation. If you start, it will take up a lot of your time, and you will feel unaccustomed, which will affect your mood. Proving the problem requires strict logical reasoning.

Second, when doing multiple-choice questions, you can skillfully use the methods of drawing and assigning values that people usually use. Try not to leave blank in the exam, and try to write some knowledge related to this question, so that you can get step marks.

Third; Keep the roll surface clean and the handwriting neat and beautiful, and you can get impression points.

Fourth: keep a good attitude in the examination room, don't be nervous, just take the usual quiz.

Fifth: Don't hold books like sprint before the exam, just eat them thoroughly at ordinary times and have more confidence in yourself.

Sixth: you must relax during the exam, don't be nervous when you encounter unfamiliar questions, be calm, and don't be confused. If you are sure to get points, you must not say that you have lost points. Pay attention to the score in the exam, and take it when you see it.

Seventh: allocate time reasonably in the examination room, from easy to difficult, and finally decide according to your actual situation.

If you do the above 7 points in the examination room, you will definitely not do the right questions, which can be said to be the ultimate.

First, prepare for the exam

Before the exam, we should abandon evil thoughts, sweep away all interference and enter the mathematical ideological system early. Close your eyes and think about the mistakes that are easy to occur in ordinary exams, and then start counting the instruments in the examination room and easily enter the examination room. Doing so can strengthen my determination, fluctuate my mood and let me enter the "role" as soon as possible.

Second, 5 minutes before the exam

After you get the test paper, you should first look at the whole volume and find out the topic. Can't see the printed results, etc. At this time, I can't start answering questions, but I can look at some questions, so I can look at some questions selectively according to my own situation, such as questions that are long and may be difficult.

Third, after starting to answer questions,

(1) Mark the things that I easily overlook and make mistakes on the draft paper, such as the area formula of triangle and the symbols of four quadrants. You can also write a sentence or two to remind me.

(2) Careful examination of the questions should be focused and the questions must be carefully examined. It is necessary to speed up the pace, make clear the meaning of the question word by word (more attention should be paid to the similarities and differences of unknown questions), and explore the internal relationship between implicit conditions and conditions from multiple levels to provide reliable information and basis for answering questions quickly. Otherwise, blindly seeking quick and forgetting things will either hinder your thinking or give up all your previous efforts.

(3) From easy to difficult is to do the easy questions first, and then do the difficult ones. At the beginning of the exam, successfully answering several complicated questions can produce the pleasure of "success at once", thus stimulating the brain and helping it enter the best ideological form smoothly. When taking the exam, we should first do a good job in the topic with comparable content, familiar question structure and clear problem-solving ideas. When you encounter problems, you should be brave enough to "stay" for a while, and don't waste too much time (generally choose or fill in the blanks, no more than 2 minutes at a time), and then go back to concentrate on doing it after you solve the problems you can do. From the senior high school entrance examination in recent years, it is not difficult to see that the arrangement of multiple-choice questions, fill-in-the-blank questions and answer questions is relatively backward. For example, in the senior high school entrance examination in 2006, there are four small questions that are the most difficult, among which the multiple-choice question is the first question, the fill-in-the-blank question is the first question, and the answer is the first small question of the first question and the first small question of the penultimate question. In 2005, the situation of the examination questions was completely opposite.

(4) Fractions In recent years, the math problems in the senior high school entrance examination have the characteristics of "easy to start but difficult to deepen". The first question is relatively easy, and the second and third answers are gradually increasing. Therefore, we should pay attention to "grading by sections" when answering questions, step by step. First, get the first question, so as not to lose points, and then analyze whether the first question can prepare the ideological foundation and problem-solving conditions for the second question and the third question, so as to win points for the second question and the third question. The mathematical solution of the senior high school entrance examination is graded step by step. If the process is complicated, once mistakes are made, more points will be deducted, so the two processes should not be too complicated, so that even if mistakes are made, points can be deducted as little as possible. For another example, some exploratory achievements often say: Please answer whether a proposition is true, and if so, please prove it. In this way, most common propositions are valid, so even if you can't prove it, just write the word "valid" and you will get 1 point. For example, in the senior high school entrance examination in 2006, question 2 1 asked whether the lion could put the rooster on the rings, and the answer was 1. Question 23 (1) asks whether the two angles are equal, the answer is equal, and the score is 1. Some questions can't be answered, but you can write some according to the meaning of the questions, which often loses points. If you are too busy or only know the consequences, you can't write the correct consequences correctly, then write the correct answers, like the initial questions in the 2004 senior high school entrance examination. As long as three people in Haining get it right and two of them don't make progress, we will give full marks (3 points) when correcting this question.

(5) Leap forward means that when you can't solve (or prove) the previous problem, but you can solve (or prove) the next problem, you can directly apply the conclusion of the previous problem to deal with the next problem. In the process of solving problems, I feel very troublesome, and may present knowledge that we have not learned, so I should doubt the correctness or sensibility of my problem solving.

(6) first change and then span. When you find that your answer is wrong, don't cross it out and rewrite it. This is because the correct answer is no different from the crossed-out answer. Secondly, it is troublesome to look at the blank answer sheet and reconsider. In addition, the answer after crossing out is incorrect, and there are gains and losses.

(7) Lenovo guessing First of all, when you encounter achievements that you can't remember at the moment, don't focus on one purpose. You should think about it from another angle, and start with the knowledge related to the topic by analogy and association. Such as "What does the textbook say?" "How do you write in your notebook?" "What did the teacher say?" "What have you done with this knowledge before?" "Can you be professional?" "What is the limit position?" Wait a minute. In addition, don't try any new results at the end of the exam time. If the multiple-choice question is still uncertain, you can stop guessing according to the probability of four choice branches in the whole volume under the condition of excluding local choice branches first. In 2006, there were multiple-choice questions *** 10, and the answer was 2a3b3c2d; ; From 2002 to 2005, all multiple-choice questions were 12, and the answer was 3a3b3c3d; . 0 1 year 15, 3a4b4c4d; ; 00 15; 4a 3 b4c 4d; 1998 and 1999, 13, both 4a3b3c3d; . 1997 10 question, 3a3b2c2d; ; 1996 10 question, 2A3B2C3D. 1996 to 2006,1/senior high school entrance examination, 134 multiple-choice questions, 34A34B33C33D.

(8) Quick, neat and accurate writing can not only improve the speed and quality of answering questions, but also leave a good impression on the marking teacher; The writing of the draft paper should be planned to facilitate thinking. Self-examination should be strict and careful, and every step of every question should be checked with suspicion. For example, "Are you misreading your grades?" "Will the use of known conditions in grades be wrong?" "Can you miss anything? What's wrong? " Wait a minute. It is worth noting that when there are two uncertain answers in introspection, generally speaking, "the correct answer is the first one that comes to mind".