Congratulations on getting a treasure. It’s almost time for the mathematics scores to answer the college entrance examination. Many junior high school friends are beginning to be nervous about their learning progress. After reading this article, your math scores will definitely be greatly improved. Why do you only bookmark and not like it? There are more favorites than likes, and it’s uncomfortable. People who only like but don’t like are playing rogues. They like it, not like it. If you don’t know how to do it, you can double-click the screen. Using two months to counterattack high school mathematics sounds like a joke, “Is the mathematics learned by others for three years not as good as you for two months?” Indeed, the mathematics that others have spent so much time learning, you It is difficult to complete it in two months. However, I think nothing is impossible. People who believe in miracles are as great as miracles themselves. I am currently a freshman. I scored 110 points in mathematics (liberal arts) in the college entrance examination last year. I was once invited by the teacher to give a lecture on mathematics learning methods in a senior high school like me. I just entered high school. When I was studying mathematics, the method of learning mathematics was very different from the method of learning mathematics in my junior high school. At the beginning, I couldn’t keep up with the progress of the teacher’s class. After I was distracted, I never understood the math class again, so at the beginning My mathematics score is not very satisfactory, but after using the method I used below, I improved from the original 80 points to more than 100 points. In the usual exams, my math scores are more than 100 points, and the highest I tried is more than 130 points, almost every time. In the exam, my mathematics rankings are all in the top few, and one time the mock exam was a little close to the top ten in the province. Here I must say that mastering a good learning method is really more useful than gnawing at a book. Don’t hold the book every day and be moved by yourself. Spend time in useful places, such as spending half an hour to listen to a section. Online classes, to make up for the knowledge you have left behind, this is a very important way to supplement knowledge, and it will be much more efficient than if you immerse yourself in a half-hour textbook. Here I put a link to the trial listening of mathematics class. If you are interested, you can listen to it. You can pick it up if you need it. Secretly share: This article is a bit long, about 5000 words, please be patient. After that, it is recommended not to skip the reading. This will affect the overall effect. It will be helpful for everyone in the study of mathematics~ It is recommended to like it before reading, so that I am not afraid that I will not find it in the future, and it can also give me motivation Continue to create better articles. Next, I will introduce some learning methods that are more suitable for mathematics. I hope that it will be of some help to you. 1. Making a learning plan can set up a learning plan for yourself, and test scores account for the majority of knowledge There are derivatives, solid geometry, conic lines, and then to other knowledge points with a relatively small proportion, so we can start with these knowledge points with a relatively large proportion, and find these knowledge points in the book for review in the morning. In some spare time, you can recite these knowledge points and formulas. When you have time, you can find these types of questions to write. To consolidate the knowledge points you have learned today, you can enter the wrong questions if you can’t write. In this book, memorize the conclusions and formulas I learned today when I am close to bed at night. It is more efficient to memorize at night, and it is easier to remember these knowledge points in my mind.

Persist in learning mathematics well, you must insist on perseverance, and learning mathematics well in two months requires more perseverance in learning than others. It is absolutely impossible to have three days of fishing and two days of exposure to the net. , Although it is difficult to persist in doing one thing, it will be more difficult to pick it up after giving up, so please persevere, hard work may not have equal gains, but as long as you work hard, you will not leave regrets. College entrance examination It was only once. Some people may have experienced it once, but we have no way out. The college entrance examination for the next year will no longer be divided into liberal arts and sciences. Generally speaking, choosing to repeat the course will face more difficult problems. During my senior year in high school, I insisted on getting up at 5:30 in the morning to study mathematics. I made full use of all the time to study. The efficiency of endorsement in the morning was also very high, so I would plan for me in the morning. I will study the knowledge points that I want to learn today, and there will be a period of time after I finish studying. I will use this time to review some of the wrong questions and questions I did not write yesterday, and continue to deepen the memory of the knowledge points.

Remember not to be irritable. Senior three students are facing pressure from all aspects. It is normal to write questions and write irritability. In the past, when I was writing math problems, I would feel very irritable after trying hard to think about it. In fact, we all know that irritability is useless. Once the mood begins to become irritable, no matter how simple the topic is, there may be mistakes. At this time, we can stop a bit and look at other subjects that we are more interested in or understand. Soothe your mood, and wait until your mood calms down before continuing to write math problems. It is slow and efficient, faster, faster and more effective than unruly fast. When learning math is tired, and when learning is annoying, I will go for a walk to relax my brain, or go for a run to refresh my brain, or do some things I like to relax myself. 4. Returning to the book “everything changes in its own way”, no matter how the topic changes, it is related to the knowledge we have learned in the book. Many examples in the book are very representative, typical, important, and easy to understand. It is more effective to understand a sample question in a book than to brush ten questions. The person who writes the question must also make the question based on the knowledge taught in the book, so no matter what, we must first understand the things in the book. , You can construct your own mind map based on your own understanding of the books. Only the things that have been sorted out by yourself can really belong to you. If you just don’t do it, then this knowledge can never really enter your brain. I will integrate and sort out the knowledge points in the book, make a knowledge map that will grow, and link the relevant knowledge points in the book with my knowledge map, and wait until later when I see this knowledge map. You can know how this knowledge point is said in the book, so that you can transform the knowledge in the book into your own knowledge. 5. Lay a good foundation “If the foundation is not strong, the ground will shake.” Just like building a foundation, the foundation of mathematics is also very important. This is not just mathematics, including everything we learn, the most important thing is the foundation Only after we have the foundation can we build higher and more beautiful houses on it. Generally speaking, the foundation of mathematics is the conclusions and formulas in the books, so we must remember these conclusions and formulas. If you find it difficult to remember, You can try to push it again by yourself according to some tips given in the book (if you can’t derive it, you can ask the teacher, because most of the students will not do this work for the conclusions and formulas of the derivation, I remember it was in my previous exam There is a big question about derivation formula, many people didn’t make it at that time, but I wrote it out), or that sentence, only the things that have been sorted out by myself can really belong to me. When I’m free, I try to derive formulas that I don’t know much about according to some hints in the book, so that I can know how these formulas come from, even if I forget this formula in the future, or if it’s about this formula. When my memory is a bit vague, I can derive this formula myself to enhance the accuracy of problem-solving. 6. The state of the class is now approaching the college entrance examination. The teachers shouldn’t give much lectures. They usually talk about topics during class. This is also a good opportunity for improvement. The topics taught by the teachers are usually set up in advance. Yes, then we must first think through our own independent thinking to complete, some of the questions may be very short-answered, so you did not listen to the teacher’s explanation in class, but to do some questions that you think are difficult. This is a lot of people. There will be a habit, but I feel that this habit is not a good habit. You may have solved this problem, but have you ever thought that there will be different ways to answer it? Maybe, your method is applicable to this question but not applicable to another question. Perhaps, your solution to this question is more complicated. Using this method will waste more time for you, so we need to listen at this time. Follow other people’s solutions to better supplement your thinking ability. 7. Brushing questions I recommend that you increase your mastery of the knowledge points by brushing the questions. Brushing questions can not only consolidate your understanding of the knowledge points, but also cultivate your own sense of the question, and wait for you to have a sense of the question. Later, you can quickly know what you want to ask about this question and what method should be used to solve it. In fact, no matter how you change the solution of the question, it is the same. If you don’t believe it, you can go and look at the big questions of questions 21 and 22. The second question seems difficult, but after a period of time, you will You will find that these questions have certain rules. If you think about it according to this rule, it will be easier to think of ways to solve the problems. Therefore, there are certain problem-solving skills in mathematics. Reasonable use of problem-solving skills is the reason why some people do problems quickly and have a high correct rate. When you do not master the mathematical problem-solving skills, you are trying to solve the problem. You will be more strenuous, often reading a question many times, but still can’t find a suitable solution. At this time, you don’t need to supplement the formula theorem, but an online class that can help you summarize the problem-solving skills. Learn from the teacher With the methods and lessons learned, the learning progress will definitely be much faster. Here is a recommended mathematics trial lesson, and everyone can feel it and share it secretly: high school mathematics value-added points cheats. We can perform related problems based on the knowledge points that we do not know completely, and understand the book first. After the sample questions, find some related questions and write them in all directions, but each question must be clear and thorough, so that the next time you see this kind of question, you will immediately know how to solve the problem, and make the mistake The questions are collected in the wrong question book for timely review. 8. Independent thinking. When you encounter a difficult question, you don’t skip it, don’t look at the answer directly, or ask your classmates directly, but think independently. I have tried to think about how to solve two math problems. In the evening self-study time, I didn’t leave my position except for going to the bathroom, going to class, and after class. You might find it a waste of time, but this is a very important way to improve. When you think about problem-solving methods, you know what you have. For example, the formula is not well memorized, and the relationship between knowledge is not well connected. Turning the book while doing the questions will make it easier for you to remember the knowledge points in the book, and you can know the knowledge points in the book well. In which position, you will see other related knowledge points during the process of flipping the book, and you can review it again~ After reading it for so long, your eyes must be tired. You can take a short rest and click like before continuing. Look down~ Your likes are my motivation, what? Don’t know how to like it? Then I will teach you that there is a triangle in the lower left corner, just click it~ Is it finished? Then we continue. 9. Make good use of the answers. When you still have not solved the problem after a period of thinking, you can look at the answers. Mathematical answers usually have a very detailed problem solving process. At this time, you have to go step by step. Look down, when you see which point you didn’t think of, close the answer and continue to work on the question, and see if you can make this question after you understand this point. I personally feel that the learning effect is: solve the problem by myself> solve it by looking at the answer> ask others to solve it> find the teacher to solve it 10. Asking people When we encounter the answer and cannot understand it, the first reaction of many people is to ask the teacher, and I think we can first ask some students who are better at learning mathematics, because he also has the same academic qualifications as you, and the problem-solving methods and viewpoints he uses are easier to understand. 11. Help others to answer questions. I know that some people think that I haven’t done a good job in my own study, but where do I have time to help others answer questions? In fact, answering questions is also a good learning method. “Helping others is helping myself.” The question asked by others may be something you haven’t touched before, or it is a question with vague knowledge points. This can help you review your vague knowledge points and help yourself better remember. When helping to answer other people’s problems, you can tell each other every point in detail as much as possible. You can also discuss your own problem-solving methods with others. Maybe it will spark brilliant sparks and let you learn more about different things. Problem solving method. 12. Doing the wrong question book Doing the wrong question book is an indispensable learning method. There are many knowledge points that you do not understand on the wrong questions, and many knowledge that you did not expect when doing the questions. After you have the wrong question book, you must Make full use of it and take a look at it in your spare time. After a period of time, block the answer and write it again by yourself to see if you have mastered it. If you have mastered it, you can delete it to save a bit of energy. Learn what you haven’t understood yet. I often take the wrong question book to the hallway to look at my wrong question in my spare time, or when queuing for a meal, or when queuing to take a bath, I make full use of these gaps to study, which not only saves time very well. And it can play a good review role. 13. Reviewing questions, checking and reviewing questions, and checking are the deepest pains. I have been too confident in the math exams organized by the school many times. I feel that these questions that know the answers at a glance are not at all It takes time to check, so points are lost. Most of the questions are the first five multiple-choice questions. Everyone knows that the first few multiple-choice questions are very simple questions. You shouldn’t lose points here. If you lose a place, you will get five points, and most people will do the right problem. Only you do it wrong. At this time, I really don’t know where you will be dumped. The points lost because of these small mistakes are the most regrettable. At the time, you can draw the key figures, and write the problem-solving steps as neatly as possible, so that you can look at the previous problem-solving steps when you check again, which can avoid rewriting the process and save time. 14. Analyze the test papers Analyze the test papers recently taken to see which knowledge points are mainly lost. At this time, we can review in a targeted manner, instead of wasting time for a comprehensive review, and filter out which topics we have scored. If you don’t need it, you must minimize the opportunity cost. For example, the second question of questions 11 and 12 and questions 21 and 22, there will be some stealing skills below~ (Note: Opportunity cost refers to the maximum benefit that you can get if you choose not to make a choice, in simple terms It is to spend the time to solve the problem that you know you must not be able to solve it to the problem that you think you can solve it with a little more time) 15. Arrange the time for the test paper to take the math test. Most people will complain about themselves. I don’t have enough time. If I have a little more time, I will definitely be able to solve this problem. In order to avoid this problem, we must arrange the time for writing the test papers, and arrange the time according to the recent test situation, and try to make every question You can have time to get in touch, and sometimes you will lose too much time to the previous puzzle and lose the score of the obvious and simple problem behind, and it may be that the score of this simple problem is more than the score of the puzzle. The following are some time arrangements for my examination papers (for reference only~~ The best one is to find the one that suits you) There are a total of 12 multiple-choice questions. The first 10 questions can basically average 1 minute and 30 seconds per question, and then 11, The 12 questions are more difficult. If you know that you don’t have much hope to do it, you can arrange it for about 2 minutes. Sometimes you can give it about 5 minutes to do it if you happen to meet the field you know. If you have a clue, you can continue to do it, if you don’t have a clue. If you do, stop immediately, and don’t waste time on unnecessary topics. There are 4 fill-in-the-blank questions. The first few questions are not very difficult. Each question can be given 2 or 3 minutes. The last fill-in-the-blank question is relatively difficult. You can arrange a little more time for 5 or 6 minutes. Just look at the next big question. The first few questions are relatively simple. An average of 10 minutes is enough. Generally speaking, the second question of questions 21 and 22 is very rare, so you can simply read the questions first, and then Wait until the end to do the elective questions. Most people will choose the conic section, about 12 minutes will be arranged. According to this time, there will be a part of the time after completing the questions. At this time, you can consider going to questions 11, 12, 21, and 22. Stolen points, there are tips for stealing points below, and you can also check your own test papers. 16. Tips for stealing points in multiple-choice questions, we can substitute the answers of the options into the questions for calculation, although this method has a relatively large amount of engineering Large, but still very practical, suitable for algebraic calculations when you have time after finishing the questions that the whole paper will do. When we do the answer to the next 22 questions, it is difficult for ordinary students to write the second question. At this time, we have to use this trick of stealing points. After looking at the question, put the formula and numbers you think are related If you substitute it in the calculation, it is very likely that you will get a score of 1-2. If you are lucky enough, it is possible that the answer to this question can be successfully written because of these formulas.


By zhiwo

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7 months ago

It is entirely possible to counterattack high school mathematics in two months. If the foundation is poor, it is equivalent to learning from scratch. Start with the sample questions in the mathematics textbook (the textbook is really important, the above sample questions are simple and easy to understand), first look at the definitions as examples. The sample questions are to help you understand the definition better. When you learn this knowledge, Then continue to consolidate and deepen, do the information you bought or the school issued (about this knowledge) and brush more questions. Do your math problems every day according to your own schedule. Arrange as much time as possible to study math. Don’t solve difficult problems. You must start from the basic problems. Doing the right problems will make you feel full of accomplishment and gradually deepen the difficulty. Students with poor foundations should also be confident, and don’t ignore the math textbooks. My math teacher has repeatedly told us that there is nothing to look through the textbooks, do sample questions, and understand the definition. I started to improve my mathematics from the second year of high school. I just started to do sample questions, and then I deepened the difficulty and brushed the questions myself. I checked the answers if I was wrong, and understood the reason for the error. If I still don’t understand, I would ask my classmates or teachers around me. Another point is that you can discuss topics with your classmates more. This feeling will be addictive. Hahaha. When you discuss a difficult problem, your method is right. It will increase your confidence in mathematics and have a sense of accomplishment. If your method is wrong, It doesn’t matter. I got the problem-solving method from my classmates and understood this problem, which is also an improvement to my own mathematics.

7 months ago

Checking out the missing parts, summarizing the question types, and studying the real questions of the college entrance examination are the most perfect methods. First, check for leaks and fill vacancies, first lay a solid foundation. The so-called foundation is not strong, the ground will shake and the mountains will be shaken, without a foundation, there is no sprint. You can write out the knowledge framework you have formed from memory, and then compare it with books, or show it directly to the teacher, so that you can find your weak points as soon as possible, and then consolidate it. Second, do a summary of question types and clarify the ideas for solving various types of questions. Each question type has a routine. No matter how the question changes, objective laws always exist. For example, there are several methods to find the function domain and value range. As long as you have mastered it, the exam will have ideas and directions, so you won’t be confused. Third, study the real questions of the college entrance examination and thoroughly understand the method of the college entrance examination! Research is not equivalent to brushing the questions, it is definitely necessary to brush the questions, but what about after the brushing? If you don’t sum up, don’t think about it, it will only do half the effort and waste energy. To research, it should be based on research test sites, such as the national paper, what to test for the first 5 questions, what to test for 17 questions, and what to test for the last question. These are all regular. It can be said that the test sites are fixed and changeable. It’s just a representation. If you have studied it thoroughly, you won’t panic in the examination room and can use the corresponding knowledge points to solve problems. Summarizing that there are still two months left in the third year of high school. If you want to improve mathematics and sprint, there must be an early stage, which is to check the missing and fill the vacancy, consolidate the foundation, a middle stage, question type induction, research ideas, and a later stage, research real questions, and summarize Test method, familiar with the test site.

7 months ago

Sequence of numbers, trigonometric functions and solving triangles, solid geometry difficulty: two stars, easy to use: three stars, analysis: these two questions are basic questions in the big question, with few knowledge points, small changes in question types, and strong routines . The strong routine means that as long as the students have undergone certain training, basically everyone can master it, and the requirements for students’ innovation ability are low. When I train students, I recommend them to train these modules first. The students in the first category are basically very proficient, do not need too much practice, just slow down during the exam. There are many common problem-solving models for this category of questions. Taking the number sequence as an example, the common number sequence problems in the college entrance examination are: find the general term, verify the equal difference geometric sequence, and find the difference ratio of the first N items and these types The question type, solid geometry big question is even the same every step. According to my teaching experience, as long as students are willing to actively work on the questions and maintain an appropriate amount of training every week, it is relatively easy to win the content of these modules. Problem-solving strategy: practice diligently and strive for full marks

7 months ago

Derivative, Conic, Probability and Statistics Difficulty: Five Stars Difficulty: Five Stars Analytical: Before 2019, high school mathematics had two bosses, Derivative and Analytic Geometry. The number of bosses increased to three after the derivative was used as the finale of the national volume in 2019. These questions are complicated in question types, strong in skills, and relatively large in calculations, which test students’ processing ability and psychological quality very much. When I was training students, I found that many students could not correctly understand their own level and were unwilling to give up part of their scores. In my opinion, students whose goals are below 135 points can make appropriate choices here. For example, in the second question of analytic geometry, write the Veda theorem and give up the remaining 3-4 points, which can make the exam time more abundant. , Strive for not losing any points you should get for the previous topic. Without diamonds, don’t take the porcelain work. For the quick work done in front of the next three or four minutes, it is really picking up sesame seeds and losing watermelon. If we retreat as progress, take the initiative to give up this last little score, and fill in the air with the previous choice to rescue one or two questions, then it is certainly not a loss. Problem-solving strategy: plan reasonably and know how to give up

7 months ago

People’s college entrance examination mathematics 133~For this kind of test assault, I want to come and have a say. Near the college entrance examination for 100 days, do many students want to give up mathematics? Do you feel panic and hopeless? Do not! I can tell you for sure that it is saved! I gained nearly 150 points in the last 150 days of the college entrance examination~! ! ! Who would have thought that when I was called a model of destiny in March in my senior year of high school, my math score was only 83 points. I believe you have seen enough chicken soup, so I won’t talk nonsense. This article is about 5,000 words, and it is all my personal experience and my treasure method to share with you. It is recommended to pay attention to the likes and collections first and read them carefully. First, explain a problem that everyone often encounters when learning mathematics~ How can self-study be efficient? First, list the ways that many people may not be very efficient in learning mathematics: 1. Do the questions for two hours, check the answers for two minutes, have not done a review or comparison of the questions, and summarize and organize the methods. 2. Doing a set of papers is far more than There is a lot of classification done, and the classification is not done centrally, and the time is fragmented. 3. The number of questions is strictly controlled in a round of books issued by the school (really, most of the questions listed on the book will not be tested in the college entrance examination, or the test sites are not listed or the details are not omitted. The transaction between the review book and the school is too complicated) 4. I like to collect second-level formulas everywhere, relying too much on the second-level formulas, like highly summarized things, and like to do particularly computationally intensive topics, such as guessing questions on golden exam papers What the hell is it? The result of this may be that the mock questions may look better, and the college entrance examination questions will collapse. 5. I love small questions, I don’t care about big questions, and there is no way to get rain and dew (this is also related to the idea of ​​writing questions in many rounds of books) 6. Doing wrong questions is really copying or transcribing If the wrong question is cut, it is really the wrong question. And I do it every day, and I spend time every day (the best way to do the wrong question is to compare it, definitely not the same day!) The worst thing is that the wrong question generates dust, or it is a pity that it is tasteless to abandon it! You can just write a tragic word on your leg. 7. The draft paper is abnormally scribbled (problems that will occur that affect the way of solving the problem, and it says that I don’t know what I’m writing, and I can’t find it when I check and review the problem) The above habits, strictly speaking, are not mistakes , I can only say that it is not efficient enough. Learning mathematics can be more scientific, improve points, or faster. Next, let’s get to the main topic. The article is a bit long, but please promise me, gritting your teeth and reading it, keeping your waist straight and looking carefully, will definitely help you change your bad life. PART1. From 40 to 90 First of all, you should be clear about your goal: I want to go to 90! ! ! Then, I bought my first book of Five Threes in my life. I clearly knew that my foundation was too bad. The green and yellow knowledge that I had never learned in my mind was a mess, so It is necessary to sort out all the knowledge that has been learned. Let me teach you how to use Wusan correctly. 1. Quickly divide into the first stage: master each concept formula theorem example questions proficiently. The first and second grades of high school are originally a process of continuously learning new things. The learning process is understood according to Feynman’s learning method: learning new knowledge-receiving new knowledge-internalizing new knowledge-outputting new knowledge. In this way, the knowledge you learn ultimately belongs to you. Any flaws and problems in your process at any of the previous links will cause you to eventually face the problem and become a hidden danger of error. Through this process, I found that I only seemed to have learned mathematics knowledge, but I didn’t actually receive mathematics knowledge, that is, I didn’t master the basics well, and I didn’t know much about it. Think about it, a soldier is about to go to the battlefield, but he is not even proficient with the barrel of his gun. Just loading the gun will waste a long time. It is really a rhythm of cannon fodder every minute on the battlefield. So I spread the math compulsory textbook on the left and the corresponding five-three on the right. I think the best thing about May 3 is the list of knowledge in front of each chapter that condenses the most essential part of this chapter. Don’t copy the answers directly. Learning is a process of self-exploration. Only when you go through the process of turning over the book and refer to what you don’t understand, can you understand your own shortcomings to the greatest extent and deepen your memorization. Therefore, I checked the book on the left hand side page by page, and at the same time wrote the corresponding concepts and formula theorems on the five-three pre-class knowledge list. I remembered that it took a day and a half to put two five books in one breath. The three knowledge lists are all finished. It was the first time I worked so hard at that time. After I finished writing, I felt that I was so awkward that I couldn’t do it, so I hurried to find two questions to do, and this one fell apart again. Can’t do it, catch the blind. How about I’m stupid? The math test does not miss the silent writing of the formula. The math test examines the proficient memorization and application of the textbook and the concepts, theorems, and formulas, and even the ability to draw inferences from one another. I have mastered formulas, understood concepts, and understood theorems. This is just getting started in high school mathematics, not even getting started yet. Don’t think of mathematics too simple. After mastering the basics, he is still not proficient enough, because this process has not been used yet. After all, it’s always shallow on paper, so I don’t know how to do it personally. Real knowledge comes from practice. So you need to prepare some simple questions to practice. At this time, the role of the sample questions in the book appeared. The book sample questions are based on the textbooks. They are not as obscure as practice questions and not as difficult as some test questions. It is a simple application of actual investigation of basic knowledge points. So I carried out a net fishing from beginning to end for the after-school problems in the math book. It is the most difficult at the beginning, you may not understand how to do the most basic question types. (I am) It’s okay. You first write down the example that the teacher said, and then do this again and again. You don’t need to understand it first, and do it three times. Next time, you will be able to do it. (Don’t understand, I still can’t get the points?!) Part 2 From 90 to 1202, the second stage of rapid sub-dividing: Constantly brushing the questions to consolidate the foundation, and strengthen the training to use it skillfully. When your math scores are hovering at the passing line, you feel as worried as a roller coaster! Don’t panic, when you have the mood of riding a roller coaster, it means that you have the courage to take a roller coaster and have the courage to try it regardless of the rugged and winding roads. Don’t think that 90 points is a hurdle. At this stage, you are like a well-equipped soldier who has finished training, and you are about to embark on the difficult battlefield of math exams. But it must be remembered that the horn of standing war has just been sounded! (1) Difficulty of the question is divided into grades, easy, medium, and difficult questions are gradually strengthened. In the case where you have already mastered the basics, basically you are familiar with simple questions and some common types. This stage and this is the 90-point sloshing level. But you have to think about why there is no breakthrough. It’s very simple. The basic knowledge is available in books, and everyone knows it after learning, but math problems are ever-changing. It can have different entry points, different methods of investigation, and different forms of questioning. (2) Wrong questions are classified and summarized, to avoid duplication of work, and to prevent “one mistake and another mistake”. When you sort out and stabilize the foundation of the mathematics building through knowledge points, and build the building by brushing the questions with different difficulty gradients. A score of 100 or more is commonplace for you. You start to be confused. There are always a few choices. There are always two or three choices to fill in the blanks. Because of carelessness and calculation errors, points are lost. The second question of the big question is always not rigorous enough. The final question is still very difficult. capture. People who are lost will always think that they still have too few questions. They bought a bunch of May Day, May Second, May Fourth… and so on. The textbooks were frantically brushed and even written more wrongly. The mentality collapsed scores only dropped but not increased. The grades went from bad to worse. This is a misunderstanding. It’s important to write questions, but don’t be greedy. Each stage must have reflection and summary of each stage. At this time, you will become more aware of how important it is to have your own wrong book. If you still want to find more questions on your own, I recommend the golden exam paper; I used this one back then. The above are mock questions issued by various provinces and cities in the past. At this time, I don’t recommend you to do the college entrance examination questions, because the score is not high, you may burst; if you do mock questions, at least you can blame the questions. Ok… (I am) It doesn’t matter if the above puzzles can’t be solved, after all, the puzzles of simulation questions will be strange. And at this stage, you don’t need to embarrass yourself at all, just do the basic questions above. The basic questions of 45 sets of examination papers are enough for you to get the easy questions of the college entrance examination. Of course, there are skills to brush questions, and the word “brush” is really broad and profound. Some people say that brushing the maths is enough, and it is right, because his brushing includes: doing the questions carefully, doing the post-processing, reviewing repeatedly, summing up the ideas…I will sort out the brushing skills for you here, no matter you Whether to do school homework or extracurricular materials, as long as it is a question, you can follow this process. It is correct: 1. Do it carefully when you do it, and don’t look through the answers (I did it after reading the answer, not yours, I understand the answer. It doesn’t mean it!), don’t let go of any questions you can make. At this time, the content you review is still relatively basic, don’t let go of any possibility. (And if you don’t do it now, it will be put into the next link, which is more troublesome…) 2. After you finish it, make corrections. Do not tick × at this stage, only tick √, which will help your self-confidence. (If you do it wrong, you do it wrong. Sometimes, don’t change it with a black pen if you are careless and wrong. Don’t ask how I knew it. I have experienced it all…) 3. After the correction, go to the wrong questions one by one. Analyze your thoughts against the answer, and then do it again by yourself (it was done at this time, it is not yours, you may not be able to do it next time); if you don’t understand the answer, ask the teacher or classmate to understand it; If you don’t understand, mark it, keep it, and come back later. 4. Copy into the wrong question book or leave it in the book (the format is up to you), and then review it again before doing the homework the next day. It is best to do it again, and you will not go back to 3 steps (don’t be too troublesome, I said it over and over again. I didn’t have so many processes in actual operation, but this is the result of my summary and sublimation after graduation. It is more perfect. It is not easy to get a high score. You have to endure hardships!) Part 3 The reflection and summary of the special training during the running-in phase from 120 to 130, calming the mind and breaking the bottleneck. By the time I reached this level, I had already changed from being a butter niche mathematics chicken in the first year of high school to being an old mathematics fritters in the third year of high school. Mathematics is no longer my pain, and it is even a baby bump that allows me to maintain my advantage and open the gap with others. I can’t help but sigh here, the suffering you have suffered and the sin you have suffered will eventually become your crown jewel one day in the future. When the time is right, it will be the day you are crowned king. At this stage, you are more careful about choices, because you already know more. If you do it at will, the probability of encountering a problem that has already been met will be very high, which is a waste of time. But at this stage (basically two or three rounds of review), school homework must also be followed! Because the difficulty of each topic will increase at this stage, the college entrance examination sometimes puts the difficulty not on analytic geometry and derivatives (you can look at the probability questions in the 2017 national volume for yourself), so each question has become difficult It’s possible, so you have to go deeper to learn! The next step is to play the subjective initiative. Your previous golden exam papers should not have been completed, so you should take out the wrong questions and problems of the exam papers you have done above and do it again (the school homework is also required, of course you can also be lazy. I didn’t do it at the time. Do it seriously, but if you do it strictly, the effect will definitely be better.) The test papers that are not moved should be done strictly in accordance with the requirements of the college entrance examination time, and don’t waste it. At this time, you can do the college entrance examination questions. Take the exam strictly according to the time and do it as an exam! Your monthly exam papers are not as expensive as this, so cherish it! Of course, if you have just entered the stage of 100 points, then you have to practice the big questions. Under normal circumstances, the several big questions of the college entrance examination are basically worthy of points (except the final question), and they are all fixed thinking ( For example, the sequence of numbers is basically the elimination of the items and the subtraction of the misplacement), you can go to the gold exam paper, you can do the basic questions above, and you will have no problems with these questions in the college entrance examination. Of course, if you want to practice the topic, you can also buy a related topic book. (I don’t have any recommendation for this type, and I didn’t use it at the time. I personally think that using the golden exam paper is enough.) The specific operation method is also the same as the above.

7 months ago

Practice daily. Proficiency is the premise of speed. Before the general review of the college entrance examination, the purpose of daily practice is to consolidate basic mathematical knowledge, such as newly learned theorems and formulas. In fact, related homework has been assigned in the school’s curriculum arrangement. However, I think these assignments are not enough to achieve a deep understanding. So what I did at the time was to prepare a set of supporting exercises by myself, and do the supporting exercises after finishing the work every day, and the difficulty of the supporting exercises was a little bit more difficult than the exercises in the books. If it is not difficult, it is not to deepen and consolidate knowledge points, but to do useless work. (This is very practical for high school and high school!) When it comes to general review, the purpose of daily practice is to have basic knowledge for review and consolidation, and the most important thing is to be proficient. In the general review stage, all the knowledge points you need to master are the content you have learned before. After seeing the question, you should be able to immediately reflect the relevant knowledge points investigated and the commonly used problem-solving methods. The ultimate goal of this is to save time during the 120 minutes of the college entrance examination, and to avoid the phenomenon that the question will be done, but the speed is too slow to be completed.

7 months ago

Learn to summarize and stop being a “labor-intensive” old farmer. I believe that everyone knows the truth of taking notes in learning, especially the summary of the teacher’s lecture, which is the “essence”. But I found out that the classmates around me rarely take math notes, and don’t even know how to do math notes. I still have a math notebook from high school at that time. Especially when I re-read the math notes from that year in the third year of high school, now I think about it, I still feel that I have benefited a lot. In fact, the idea of ​​taking math notes came from my math teacher. When giving lectures, teachers like to associate related questions with different solutions to the same question. This inspired me: to summarize the topics related to the knowledge points. For example, the sequence of numbers is of one type, and the nature of functions is of the same type… On this basis, it can be divided in more detail. For example, summarizing the monotonicity of the function, summing the parity of the function…In this way, the review will be more organized. For example, in a certain year of college entrance examination mathematics, there is a question about the parity of functions: Suppose the function 濹(Shen) = 沈²+ I 沈-2 I-1, Shen ∈ R (1) The parity of Li Huan (Shen) ; (2) Find the minimum value of the function Chu (Shen). In fact, this question about function parity is very much in ordinary exercises, and this question is not very difficult. If you can generalize and summarize more in normal times, you will not find it difficult. In ordinary exercises, if students have different solutions to a problem, they should list the related solutions together and compare which solution is simpler, saves time, and is less likely to make mistakes. I remember that when I first did the problem, I just thought of a way to do it without thinking. I didn’t even think about whether there was any other easy way. This approach of mine was dubbed by the mathematics teacher as a “labor-intensive industry”, saying that I have the qualities of “hardworking and kindness”, but lacking “wisdom”. Teacher Zhang said that mathematics is a subject that makes people smarter. Through the study of mathematics, we can be more flexible instead of becoming more and more rigid. What is the flexibility? It is to find the easiest and most time-saving method on the basis of continuous questioning and continuous summary.

7 months ago

Think more about the golden key to achieve a “qualitative leap”. I remember once heard a story like this. In order to get the appreciation of the tutor, a scientist’s assistant said that he was doing experiments in the laboratory all day long. His tutor thought about it. After a while, he said, “Then, please tell me, what time do you take to think?” His assistant was speechless. The purpose of our questions is not to pursue quantitative satisfaction, but to “a qualitative leap”-never come to meeting, from meeting to correct, from correct to concise. My mathematics teacher told me, “Your goal is not to be consistent with my answer, but to be consistent with my thinking.” He said: Look at the scores of the college entrance examination papers, which are all steps. Our mathematics is The most process-oriented. The process of doing the questions is a reflection of your thinking. “I always pay attention to understanding the teacher’s perspectives and thinking methods, such as when to discuss in categories and when to combine figures and shapes… After the teacher finishes the class, if I do the right thing, I will compare my own ideas and What is the difference in the teacher’s thinking? If you do something wrong, you will reflect on what you think is wrong, and then summarize it in your notebook. The problem is a means, not the end itself. This is back to our original problem. Doing How many questions are appropriate? I don’t advocate blindly questioning tactics. The questioning tactics seem to eat a lot, but they don’t digest and absorb much “nutrition”. In the end, they are still very “weak phlegm.” The key to the question is I understand all the questions I have done, and the questions that I can’t know can be done through practice. If you do the wrong questions, you will never make mistakes when you encounter similar ones. Doing the questions is just a means for us to reach the end, not the end itself. In my own case, during my third year of high school, I did a set of simulated test questions a day on average. At first, I was under pressure to complete my homework. Later, I wanted to see new types of questions that I had never done before and challenge myself. Later After the “second model” before the college entrance examination, I found that there were no more questions that I would not be able to do, so I walked into the examination room naturally and confidently.

7 months ago

Thank you, the countdown for the college entrance examination, 2 months, if you want to improve, you must have targeted questions. Analyze the questioning rules of the college entrance examination in recent years, you will find that the entire high school needs to memorize 3002 knowledge points, 6-8 books, some students say that they can’t remember the countdown for two months, but after nearly three years of college entrance examination questions analysis There are 259 core test sites in these 3002 test sites. Only 120 question types are required each year, accounting for 90% of the total scores of the college entrance examination. The number of points occupied has been listed for everyone on the table. Each question type is It has its corresponding solution skills and templates. Especially for selection and filling in the blanks, there are many questions that do not need to be done in the form of big questions. In recent years, the selection of filling in the blanks in the college entrance examination has been adjusted from 45 points to nearly 70 points. The key to victory. It is recommended to pay attention to the answering time and plan to practice during the two months. If you want to achieve a score increase in a short time, you can’t remember more than 3000 test points, 259 two months, 5 a day is still possible, even if you do two a day, understand 80% before the college entrance examination, get 110 is not difficult. Know what the college entrance examination is more targeted than aimlessly brushing the questions. It is recommended that you have a targeted review and thoroughly understand the types of required exams. Recently, I have compiled some skills, “Electronic version of the list of 120 required questions in mathematics”, “templated answering questions, steady capture of points” and so on. Students who are not good at mathematics can take a look and click on the author’s portrait, private message, send, etc. Checklists and tips templates, free electronic version. The countdown to the college entrance examination, hope to help everyone.

7 months ago

It depends on your current level. If it’s a 60-point counterattack, don’t think about it. The difficulty factor is too high and the risk is too high. Can fly to the sky above 100. Let’s not think about the problem. The first ten multiple-choice questions fill in the blanks. The first two must be won without negotiation. The first three major questions and the selected exam questions should be stable. Try to get the conic section and derivative as far as possible in the first question, and get points as much as possible in the second question. Taken together, the score is really not low, and I don’t know the level of the subject. The default is 80 points. The phone is thrown away, the college entrance examination is not as difficult as usual, so you need to be confident.

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