First of all, no matter from the historical or realistic point of view, the college entrance examination proposition has the characteristics of high stability. So we can get a lot of information from the previous college entrance examination questions. There are three types of math college entrance examination questions:
0 1, multiple choice questions
1. True or false multiple-choice questions: you can choose by exclusion or direct election, but you must read all the options before you can decide whether it is right or wrong.
2. Best multiple-choice questions: You can choose by comparison, optimization and direct election.
3. Causality multiple-choice questions: You can use direct selection method, inference method and reverse thinking method to deduce the result from the cause or the reason from the result.
4. Combination multiple-choice questions: multiple-choice questions are converted into single-choice questions. The method is exclusion. First, determine the obviously right or wrong options, and finally analyze the remaining options.
5. Arrange multiple-choice questions in time and space order: The key to solving problems is to determine one or several points that you are most familiar with or are most sure of, and then choose the correct order.
The requirement of answering multiple-choice questions is to choose the correct answer quickly, accurately and skillfully.
02. Fill in the blanks
The problem-solving of fill-in-the-blank questions requires only results, but no process. The most common mistake is that the answer is not "complete and rigorous".
03. Answer the question
1. Special value method. Speaking of this method, I believe all my friends in junior high school know that algebraic evaluation can be verified by special values; However, there are fewer friends who use special values to verify whether the conclusion is correct in geometric proof and calculation problems. Look at 20 16 first. ...
2. Measurement and estimation methods. Mathematical calculation ability should include accurate calculation ability and estimation ability, which is not only in our daily life. ...
3. Reverse thinking to absurdity. Take 14, a multiple-choice question in Qujing senior high school entrance examination in 20 18, for example, we can disprove it through reverse thinking. ...
4. Number-shape combination method. The combination of numbers and shapes is a basic mathematical thought and method, and it is also an effective way to expand the thinking of solving problems.
1, the first stage
Analyze the test paper and count the proportion of questions that can't be scored and the proportion of carelessness!
By counting the proportion of unanswered questions, we can figure out which type of questions can't be answered, so as to make a breakthrough according to the number from high to low! There are two kinds of carelessness by counting the proportion of carelessness. One is the hand error, the calculated ratio. Every time I look at this kind of question before the exam, it sounds the alarm. The second type is caused by the inexperience of concepts, definitions, theorems and formulas. Returning to textbooks to strengthen memory, saying that math does not need to be memorized is nonsense, but math memorization is the foundation. When it comes to the key, it's about to be memorized!
Prepare:
1. Red ink pen (be sure to prepare it, and the analysis paper must be marked in red, which is eye-catching and more conducive to memory). Every wrong question should be written in red before the title code (for example, just write the words "arrangement" or "ellipse", "drawing" and "combination" to classify it to remind you of that knowledge point. Don't consider a problem and examine several knowledge points, either write them all or write the most important knowledge points. If you don't know which knowledge points to examine, there will be no problem-solving ideas at all, let alone!
2. Find out the papers of the last five exams (it must be a weekly exam or above, one of the reasons is that it covers a comprehensive range of knowledge, not a special exercise, and the other is that the questions you do on this kind of paper can better reflect the state when you do the questions, which is different from the usual practice, more relaxed, less cautious and less nervous. Analyzing the paper will distort the last five times, because you still have the memory of the state during the exam. It is important to recall the thoughts at that time, because at that time.
3. Statistics according to the above method is equivalent to a thorough evaluation of one's mathematical ability. Don't feel terrible, this is the first step to improve your math ability! Direction is very important, because the direction is wrong, the harder you work, the farther away from your goal! Why do some people work hard but not make progress? This is the most important reason. In fact, math is not good by talent, but by skill, or by knowing how to think, summarize and analyze, which can be cultivated! In fact, the purpose of talking so much is to encourage you not to be afraid of difficulties, or to think that it is better to waste this time by doing more sets of questions. In fact, he has answered 50 sets of questions!
2. The second stage
1. What needs to be clear is that the mathematics in the college entrance examination is the ability to score, not the ability to do problems! In fact, you think there may be little difference, but there is a big difference! I repeat: for example, the second big question, you can't learn it, and you can't finish it after 20 minutes, so you don't have time to do the questions you want to learn later, and you don't have time to check them in a hurry, and you don't even have a chance to correct them! Even if it is built, time is wasted! So when you do the questions, do all the questions at the meeting first, don't just do them in order, there is no requirement for the exam! Come back and make those empty ones when you're done. If you have an idea in five minutes, do it. If you have no idea, forget it. Anyway, an exam should leave at least 20 minutes to check, and after a long time, it will take 30 minutes to do the questions quickly. The inspection is not a quick glance, but a re-inspection. The second time is much faster than the first time, but forget it if you encounter many calculation problems! This requires that what you do for the first time, as long as it is calculated, must be done correctly, seriously and carefully, and the degree of carelessness for one month will be directly reflected in the score!
2. Do special exercises for the knowledge points that were not mastered in the previous analysis. There will be special questions in general reference books. After each question is finished, you must gain something, mainly to strengthen the knowledge points, so that when you encounter such questions in the exam, you will have a solution idea immediately! Thinking is the key to complete victory!
3. Establish the wrong title system. Don't copy the answers as long as you copy the wrong questions for any reason. The answer can be written in another book. Remember one-to-one correspondence! Before you write the answer in another book, write a few words yourself. The elements are as follows: first, the reasons for the wrong questions at that time, carelessness or ignorance of some knowledge points; Second, the idea of solving problems, which seems to waste a few minutes, is very necessary, more important than writing answers, and the purpose is to exercise the effect of ideas in your mind! Then write down the answers or copy them down. The purpose is to review the wrong set of questions next time. Think for a moment out of thin air, look at this answer and see if your idea is correct!
3. The third stage
There are several classes in the first stage, and the second stage is a long process, but they are usually used and do not need special time, but they must be resolutely implemented without any discount!
1. Read a lot. If you don't do it, just think about it in your head! If you have an idea, pass it. Look at the next question! A little vague idea. Look at the answer and make sure. Yes, this is wrong. Copy it to the wrong question set, fill it in according to the two books mentioned above, and expand the wrong question bank! The last step of the second stage is closely related to the first step of the third stage. Without the process of writing down your thoughts, it will be very uncomfortable for you to come up with them out of thin air at this stage! But thinking about the exam is also thinking out of thin air, so this process of thinking about ideas must be done! (The first step in the third stage belongs to brain rest. You can do it when you are bored, when you are in a bad mood and don't want to do it, when the weather is not good, when you are in a mood to review! Not wasting time is also helpful to improve mathematics! )
2. After the early accumulation, it will take about one month! I started actual combat and made a set of simulated test papers every day! Time limit, and it is 100 or 90 minutes! Because you must practice the speed of doing the problem by reserving inspection time for yourself! Don't bite the bullet and give up decisively. The last question of a big question is four points, which may not be done in 15 minutes. If you use this 15 minute to check a multiple-choice question or fill-in-the-blank question, you won't lose money. If you check two, you will make a lot of money! Make sure everything is correct! Nothing! Take careless loss of points as the main direction to improve your score, and add the knowledge points that were missed and filled in a while ago, and your knowledge dead ends will be less and less. As long as we seize the opportunity, there will be a huge leap!
3. Every set of papers made in the real examination room (referring to the teacher's over-scoring) is put in a folder (several) for the first stage of inductive analysis and summary, and the effect before the exam will be amazing. First, it will show you the questions that were deducted for carelessness at that time, remind you of your teeth that you regret, and increase your carefulness in the exam. Second, it is also a review of your own knowledge blind spots or failure to grasp the knowledge points! Very useful!
First, there are many low-level mistakes, how to avoid them?
If you say something unpleasant, many people may disagree. Carelessness is the lack of mathematical ability. Many people always try to cover up their shortcomings of not fully understanding the knowledge points with carelessness. On the question of 150, I got 1 10. Not at all, 10 or so, careless by 30 points. Do you really think you are at the level of 140? In fact, it is really the level of 1 10! Really! When will you be sure that you have done everything right, then you can confidently say yes. Just like Duan Yu's Six-pulse Excalibur, it doesn't work when it works, or Shang Yang's sword accidentally becomes Xiao Shang Yang's sword. How dare you say that you have mastered the six-pulse Excalibur? No one should write 1+ 1 equal to 3, right? ! ! ! Practice makes perfect, but you don't know it's wrong. By the same token, you can't test the questions you usually do, which means you are still not skilled.
Second, the knowledge points are much worse. What if the paper is big?
It is a perfect topic for people to check and fill in the gaps of knowledge points. Textbooks are the best choice when the knowledge points are too poor. Textbooks can ensure that you acquire basic knowledge. This is the key. Although you can't get full marks, you can quickly establish a knowledge system. Only when the knowledge system is established can you brush the questions, so that the brushed questions will be effective. As soon as the questions are improved, your understanding of the knowledge points will be deeper.
Third, what about the fear of mathematics?
There are too many people who are afraid of mathematics, so if you master one more knowledge point, maybe you can get rid of a playground in the college entrance examination, and if you master two more knowledge points, you can get rid of a train of people and master two more big questions. Maybe your college will move from one level to another or from an unpopular major to a popular one. Think about everything from another angle, and happiness also comes from this. There are many obstacles in life. If you pass, you will become Ma Pingchuan. Why not take it as a trophy of your first life?