If you can't find the direction of this problem, you can see clearly which aspect of the problem he is taking. For example, he has a series of problems, so the function is closely related and can't be related to solid geometry, at least the possibility is too small. Then the book says what are the two chapters of function series, and then where is the test center? Maybe you can't start, but take your time and train. Don't be happy just because you read one or two questions. Everything must be based on evidence.
As for thinking and thinking direction, you can be trained, and you should be efficient when doing problems, that is, after you do an inverted problem, you will do similar problems later, so that you will improve.
Of course, you will feel when you do the problem, and the improvement of mathematics cannot be rapid. You will find the effect after doing it for a year and recommend some good books to you.
First, psychological fear, try not to learn.
We say that we should have a good attitude in everything we do. According to the analysis of scientists, people can't play their usual level of 100% when they have mental problems. If there is a serious mental problem in the examination room of the senior high school entrance examination or even the college entrance examination, it will fall short in ten years, which will make many candidates ashamed to meet their elders in Jiangdong. In fact, there is absolutely no need for you to have any psychological resistance to mathematics. Give a simple example, such as some application problems, although it seems that there are many descriptions in words, there are few actual data in actual analysis, and then list the equations by establishing a mathematical model, and then get the answers. When you finish, you will feel that the most difficult problem in mathematics is just that, and suddenly your pride arises. At this time, your resistance to mathematics will dissipate and disappear.
Second, it is very important to listen in class, and 45 minutes should be effective.
Don't think I'm joking. Who won't listen in class? Actually, it's not. By listening, I mean listening completely, seriously and carefully. For every formula and theorem that the teacher talks about in class, we should go deep into its source, so that even if we forget the formula in the exam, we can solve the problem well and avoid inner panic and tension. In addition, we should make full use of the short 45 minutes in class and try our best to absorb the knowledge learned in class, so as to further carry out the next step of study after returning home and save time.
Third, look at the order of writing assignments.
Pay attention to the order of reading and doing homework. A teacher said that homework should be written first and then reviewed. Facts have proved that this is completely wrong. Because class is over, it will be some time before I can go home. During this time, you will inevitably forget the key points or details that the teacher said. In this case, some problems will inevitably appear in the homework. In fact, it is necessary to develop good study methods, and try to review what you have learned that day after you go home, especially to take good care of your notes, and then do your homework, so that the effect is better.
Fourth, pay attention to the examples in the textbook.
Maybe you will say: those examples are so simple that I can understand them at a glance. In fact, if you don't pay attention to those "too simple" examples, you will suffer a big loss in the exam. As we all know, in recent years, the answers to various mathematics exams, such as senior high school entrance examination and college entrance examination, are basically adapted from examples. If you usually get into the habit of not paying attention to examples, its special atmosphere will make you feel nervous everywhere when it comes to exams, and then you can't do anything about such simple questions. Therefore, we must develop the habit of attaching importance to examples in our usual study, which will make us have a better chance of winning in the exam.
Fifth, in the face of the college entrance examination, we should usually make up for the loopholes.
Don't pay attention to your grades in the usual tests and exams, you must find your own loopholes. The function of the exam is to check the loopholes in your usual study. Some students pay too much attention to their grades and are afraid of losing face in front of their friends. If so, I advise you to lose face more. Wrong questions are your valuable experience. It's not terrible to be wrong once. Do it well next time. As the saying goes, after a long illness, the more mistakes you make, the higher the correct rate will be, and the person who laughs last laughs best.
Sixth, prepare the wrong book and accumulate valuable experience.
When learning mathematics, wrong questions are inevitable. Everyone has a different attitude towards right and wrong. Handling it well will promote your enthusiasm for learning, while handling it badly will further reduce your motivation for learning mathematics. For the wrong questions, I hope everyone will prepare a book and write all the wrong questions in this book, especially to write down the knowledge points, their own ideas and correct answers, and why they can't think in the right direction. Over time, this is your precious wealth and your "pigtail". It is your weakness, but it will take some time to overcome it, but I believe you will give full play to your advantages in the exam.
Undeniably, the examination of mathematics, physics and chemistry in our country is a bit too complicated. To tell the truth, the basic knowledge of these three subjects is not difficult. As long as students study the contents of textbooks carefully, there will be no difficulty. But we shouldn't deny that for a large-scale exam, it refers to the college entrance examination. The content of the exam will never be as simple as that of the textbook, but a lot of complicated comprehensive application of textbook knowledge. To put it more bluntly, the textbook knowledge is straightforward, but the content of the exam has to be turned around for you. Some topics are even more confusing and full of pitfalls, but there are also some simple shortcuts, which remind me of the comprehensive application of ancient Sun Tzu's art of war in modern examinations.
The syllabus prescribed by the state only requires the mastery of textbook knowledge, that is, all the important knowledge in the textbook has been learned. With the continuous improvement of students' ability, I'm afraid there will be a large number of full marks in simply examining the basic knowledge of textbooks, so some people have joined the flexible use of knowledge, which has intensified with the progress of time and developed into today's mathematics and physics discipline, which is so difficult that it is almost outrageous. However, what is the difficulty? Is the original knowledge difficult? No, the knowledge is still the same, but how to use this knowledge, where is the idea of solving problems, and how to use the method of solving problems flexibly … has caused difficulties in science knowledge.
As far as teachers are concerned, the task is to explain the knowledge required by the syllabus and give students the necessary foundation to solve problems. If we compare this to Gai Lou, teachers are building materials for students, but exams often let you build houses directly. As for how to build it, where are the design drawings? There is no clear stipulation in the syllabus. It's up to you. This happened when I was studying in those years. Many students who study very hard know what knowledge points you ask him, but they are at a loss about how to apply these knowledge to specific topics. The application of knowledge is the key, but there is no specific requirement in teaching, which has become a chaos.
This slight deviation between the syllabus and the specific exam will probably bring disaster. Personally, I think that if you want to get good grades in mathematics and physics, the solid accumulation of basic knowledge should account for 40%, the skilled use of knowledge should account for 50%, and the final 10% should be enlightening. Now many students, I'm afraid, don't know the key role of "knowledge application", which leads to the unique phenomenon that they know everything but can't do many problems. If quality education is used, those knowledge application methods can be said to be just boring things, which have nothing to do with students' future development and life and have no practical significance. No matter how complicated the future life design is, there is no need for the dazzling digital game of middle school exams. This should be criticized, but it is closely related to the ladder we want to cross-the college entrance examination. What do we do? We really want to smash it, but we accept it seriously!
The accumulation of knowledge, which no one can help, can only be mastered slowly by listening carefully in class. This is the foundation of everything and is indispensable. Everyone should know this and not say much. As for how to use knowledge, I'm not an expert, so I'm afraid I can't come up with a grand theory. Here I can only talk about the road I traveled in the past, hoping to help the children who are now facing the college entrance examination. That's all I can do.
Personally, I am not a very smart person, and even lack some talents. I didn't study well when I was a child, so I had to go to a school that was not very good at that time. So when I entered school, my grades were still in the middle. My future was hopeless at that time. But it may be a fine tradition passed down by the family! I'm not used to giving up things. Although I didn't study well at that time, I was still studying hard. Some things will never be forgotten. Junior high school exam for the first time, entered the top ten. In fact, in that school, the top ten in my class was nothing at all, but I gained confidence and began to believe in myself. If I study hard, I will still get good grades. I think so, and I have been doing this for three years. After being admitted to a key high school, it is very important to build confidence. If you don't study with the belief of winning, you will definitely not be able to exert your own strength. Sometimes even if your self-confidence is unrealistic, it will bring unexpected gains. There were only three people in the class in a competition exam. I was the third one to register, but the second one in the class came to see it and didn't register. I saw it. If she signed up, it would be me who was excluded. I am very grateful to that classmate, because I got an unexpected chance to get a high score. At that moment, my confidence in learning was completely established, and I knew that people's potential was infinite. If you work hard, it will be a miracle! In the days to come, everyone will ask me if my classmates can't do the problem. Some people want me to help them with their lessons. They say I'm stupid, so tell me the simplest question. At this time, I will tell him that you should not have this idea. Everyone is the same. If you put your level at a lower level at this time, it means that you have been killed by yourself. You should work hard. You can fail, but absolutely. I have always believed that success and self-confidence are inseparable. Success can enhance personal self-confidence, and strong self-confidence can make you more successful. If you want to do well in the exam, I ask you-friends who are reading this article, do you believe in yourself? How to start and organize these two things depends on your own situation. You took the road yourself, and you should be responsible for your actions no matter what road you take.
If you have made up your mind, please read on! Now there are many problem sets, and the teacher is explaining them, but we don't know how many problems there are. We can't see all the problems. I personally support the sea tactics, but I absolutely oppose the irresponsible sea tactics. I remember there was a prime minister named Zhao Pu in the Song Dynasty. He ruled the country by half the Analects of Confucius and intensive reading. It's okay to do the problem, and it's okay to do more, but one thing can't be forgotten. You must respect this problem. When a topic is presented on paper, it has its own value. When I saw it, I had a relationship with this topic. I must be responsible and make its title and ideas clear. My idea is that instead of blindly doing the 1000 question, the effect is far less than that if you carefully understand the cause and effect of the 100 question. It is said that mathematical physics is ever-changing, but doesn't he have a certain Fiona Fang? People's energy is limited. They don't spend a lot of time practicing blindly, but forget what they have done, which is nothing like solid dribs and drabs. To master a topic, you should be good at doing it as well as doing it. Take a few minutes to analyze why this topic comes out like this and what type it belongs to. If you have a solid grasp, you will not make mistakes when you encounter this type in the future. Think about how many types of topics you can have. You usually see only a lot of topics. In fact, most of them are repetitions of problems. If you firmly master the problem thinking method for half a year, I won't believe that you have no gains!
There are bound to be difficulties in the process of moving forward. We can't deny this fact, and we can't avoid it! What will you do when you encounter a problem? In those days, my practice was generally crustily skin of head. I often spend one night on a geometry topic, just one topic. Although time is precious, it must be spent. What kind of feeling will it bring to solve the problem in two hours? "Ah, tnn can make-ah? This question seems very difficult! I can't seem to do it at my level ... this problem is my own thinking! -So now I'm fine! ! ! -haha, sample, if you encounter this type of problem in the future, you will be killed! ! "Cost: two hours+strenuous activity of brain cells; Harvest: This kind of topic may be encountered more than a dozen times in the future, so you don't need to spend time thinking, because two hours is enough to leave a deep imprint on your mind. To sum up, this transaction is absolutely cost-effective! Every time I succeed, I have reason to cheer for myself, once, twice, ten times, a hundred times ... Later, the conquest of the problem can no longer bring me joy, my spirit has frozen, my mind has become accustomed to success, and I no longer regard solving problems as great, and everything is as simple and ordinary as eating and sleeping. At that time, I would feel that I was right to overcome difficulties, and my confidence began to expand infinitely. I feel numb to doing problems. I seem to have become a machine. I am always extremely calm in the face of what kind of exams. I put all the questions through my eyes and input them into my inner program. My soul helped me find out what kind of thinking I should use to think about such a problem. After the reaction, I wrote the correct answer on the paper by hand. At that moment, it seemed that I was the only one in the whole examination room. ...
I am very helpless. I don't know about you, but this is the only way for me to make progress. I am grateful for this question. They are not enemies, but my motivation. Every time I conquer them, I will stand on the steps they provide. Although I can only take one small step forward at a time, the division of the minimum value by zero is infinite. There is no denying that I am advancing, I am advancing constantly, and I will eventually cross countless steps and stand on high places. Friends who read this article, you must have such patience. I can't let you step into the sky, but this is the way forward, like a lighthouse on the sea. Look, the next effort to save you is left.
There are still some things you really can't solve. I recommend several ways. The best thing is to establish a class discussion mode, so that most students in the class can form a learning atmosphere. Because everyone is together, what they have learned and thought is very close, and they help each other, and the effect is excellent. To tell the truth, in my impression, what my classmates and I haven't done is often in the process of asking others, and my classmates haven't said a few words. We have understood that difference is the finishing touch, and we hope that students will not hide anything. I will feel better, my mental strength will improve, and an open mind will be very useful in the future. Short-sighted people will be excluded and eventually eliminated if they are discovered by others. Secondly, buying reference books is more expensive now, but I don't think everyone will feel bad about this investment. Books are to be bought, but which ones to buy? To tell the truth, all the books that can be published are good, but you can't move the bookstore home. I recommend the attitude towards books. Buying books is a responsibility to oneself. If you buy a book, it is meaningless if you don't respect it. Put it in the bookcase for bookworms to eat? I love books, and I can't tolerate such behavior! If you go to the bookstore to buy a book, you must swear that you will read the book carefully, otherwise don't buy it. Now I see that many people buy a cabinet of books without even reading them, and I am angry. Buying books does not respect knowledge. Such a person does not deserve knowledge to respect you. God will not care for such a person! If you swear to see it, ok! When choosing books, my suggestion is not to buy problem sets. There is a book that is an accurate analysis of examples. Although the number of questions is not large, it is very practical. Look at the examples first, divide the answers into blocks, think for yourself (this process cannot be omitted), and then compare the examples to see if your name is the answer. If there is, celebrate, no, check for leaks! Problem sets only have answers. I am glad that I am right, but what can I do? Faced with an answer, can you work out the process? Usually practice should pay attention to the process, in order to achieve results in the college entrance examination! It is not difficult to form a knowledge system and turn all problem-solving ideas into your habitual thinking process by your long-term solid accumulation! The last method, ask the teacher, although the teacher's duty is only to teach the basic knowledge, but in the process of explaining the exercises, it will definitely involve the problem-solving methods and ideas, but it is also limited by the exercises, and the whole is scattered. Make a good classification of analysis and comparison. After the teacher finishes the problem, it will never end. You have to review by yourself, remember the problem-solving methods and ideas taught by the teacher, and forget them later, so that you can always explain clearly? I believe the teacher won't tell you. But then again, the topic I have been thinking hard about is the one that impressed me the most, just as the more easily obtained information, the less cherished it is, and the hard-won things feel precious! I like Chairman Mao's words very much, self-reliance and hard work! If there is only one person left in the world who can be trusted, it must be myself. I believe I won't deceive myself. About nuclear weapons, satellites, missiles and other high-tech, you want to learn from developed countries, will you give it to you? Thanks to the American blockade of China for so many years, China people completely gave up their illusions, worked hard and succeeded in large-scale scientific research. If they join hands with the United States and always want to get some technology from others, they will always get stuck, and I am afraid they will not be able to study it today. It is better to bite your teeth and fight, maybe you will smash a piece of sky! I see that many people are criticizing teachers now, saying that this is not good and that is not good. In fact, some children have difficulties in learning, but it is not necessarily the teacher's responsibility. Shouldn't they find their own responsibility? Everyone is reading, why are there good and bad? I have been communicating with teachers for more than ten years, and I have solved all the problems myself. If my grades are not high, I have every reason to believe that my teacher may not be able to name me. Confucius said that it is better to learn in an instant than to think all day. To put it bluntly, if you have time to complain about this and criticize that, it is better to find your own shortcomings and find ways to remedy them. It's better to rely on yourself than others! !
Set up a notebook, pay attention to regularly collect the topics you missed (and write down some that you haven't learned but have always been right), read regularly and review constantly. If you have time in the future, you can even add some classic topics for classification, insert various recording exercises, simply set up your own problem set, pay attention to the communication between classmates, and leave a memory for yourself!
In short, don't be too blind in learning to do problems. Always know what you are doing. There is a saying in physics that doing work is equal to power times time. At the same time, don't think about anything else, concentrate on it, and you can relax and play the rest of the time! Learning is for yourself, and perhaps it also carries the hopes of many people. You should be proud of your efforts at any time!
If you can't overcome your laziness, I believe you will find it difficult to succeed. At this age, you should be active and playful. However, since you have chosen high school life, you should be responsible for your choice. Only by restraining the desire for fun in just a few years can we make a breakthrough. Years make people old, but high school students deal with numbers every day at a young age. This is the sorrow of our education, but it is also the helplessness of society. When something happens, it will happen.
By the way, it is also said that learning success requires 10% inspiration, which is manifested in seeing a topic, or even just looking at it, and then telling the cause and effect of the topic, how to think and how to start ... just like endorsement. Such people are sometimes called so-called geniuses or authorities, and think that they have unspeakable inspiration for the topic. I've done this before, but that's not how good I am. It's the same reason. The basic knowledge is very solid (not too difficult). Through the process of solving many problems by myself, my brain stores a lot of ideas to solve problems. Sometimes I ask you to say that you have memorized those ideas. I'm afraid I can't say it myself, but when I see a specific topic, I will immediately reflect on how to think about such a problem, so I have been praised. I used to be on cloud nine myself, but in retrospect, that kind of thing may not be called inspiration, but a subconscious mindset, and idiom practice makes perfect may be the best explanation for it. Of course, sometimes mastering the question types and giving inferences may also bring unexpected gains! There may be no genius in this world!
Man, don't give up hope, sometimes it's definitely worth all your efforts for a little hope. Friends who read this article, have you ever tried the day when the study space was just a square stool at home ten years ago? In junior high school, the school is the second lowest in Shinan District, and the class is the second lowest in the department? There are only a few people in the noisy environment in the class who don't give up the atmosphere of hoping to study hard. Sometimes classmates are afraid of hurting the fish in the pool when fighting? When I was a child, wealthy families asked teachers to give guidance to their children, but they could only work hard with this reference book year after year. Is it a blow for the teacher to be admitted to a key high school in the senior high school entrance examination? When I first entered high school, I found that my math (the first in junior high school class) became the last shock, which almost destroyed all my confidence? ..... I thank God very much. It gave me a chance, and I thanked myself even more. I seized the opportunity. Although the road I took was bumpy, I didn't always act, and I have nothing to regret. I made great efforts for my faint hope. Although it was not brilliant at that time, and high school did not rush into the top 20, there was nothing to regret. My strength can only reach here, the brightest jewel in the crown. Friends who read this article, do you think you will have regrets in the future?
I should be the product of out-and-out exam-oriented education. In today's era when the whole society is shouting for quality education, I have always been grateful for the exam-oriented education I received. Although it has trained me to be very good at exams, it has laid a solid knowledge base and keen reaction and analysis ability when encountering things. I don't see how many so-called nerds I have. My past efforts have turned into today's tenacity. Only pay attention to study, there is no time to get rid of all kinds of bad habits. I learned to respect everything, and I learned to be generous and United.