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I'm a super math freak, and my favorite thing to do in high school was to carry a math practice book from the first page to the last.
I think mathematics trains a kind of thinking, and the main thing is to master a kind of thinking skills, so it is necessary to do a certain amount of problems, because in this way you can train a sensitivity to mathematics. If you do more questions, you will find that there are only a few main points in mathematics.
First of all, of course, you have to be able to do it before you like to do it, high school mathematics is divided into algebra and geometry, algebra I think is relatively simple, the main thing is to memorize the formulas, and you have to know clearly what these formulas represent, and which topics can be used in them. Do more and you'll be more proficient.
Geometry is relatively difficult, because it is a kind of spatial thinking, and what is more needed is a kind of spatial imagination, so it is very important for geometry to learn to draw, and you can see a lot of things when drawing.
Then you have to learn to summarize the question types, collect all the wrong questions in a notebook after each exam, understand them all, and then take them out and look at them before the next exam. It's a great way to avoid making the same mistake.
It's hard for me to say the specifics, but if you don't, you can ask the teacher and some students who are better.
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Hehe, I'm also a man who is afraid of mathematics. But I think interest is the best teacher, so if you want to learn math well, you must first develop a good interest in math!
Otherwise, everything else is just empty talk!
After the first step is done, you need to think about how to make up the next question, and I think you should still ask your teacher about this question!
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You think of it as a kind of time-killing lesson. You can learn or not, put your mindset well, don't be afraid and timid, because it's unrealistic to escape and approach. And when you are studying, you don't have to worry too much.
Because after all, the rest of the school is a living from learning. How can I complete my studies without studying? If you don't know how to ask your classmates and teachers, you usually read more books, if you really can't read it, don't read it, go to watch TV or surf the Internet first, and adjust your mentality.
Helpful to you.
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It is necessary to read the textbook very patiently and master the example problems in the textbook very proficiently. Do some questions after class. That way the math shouldn't fall behind.
Record those questions that have a typical or unique approach for easy review.
When you encounter a problem, take a moment to think about it. If you can't think of it, put it and ask people. Then memorize the question and look back at it after a while.
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Do more math problems, and you will find math attractive.
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In fact, high school mathematics mainly focuses on one thought, although your thinking is enough for each problem is actually the same, you can remember some theorems and theorems that should be memorized.
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There is no shortcut to learning mathematics well, that is, you have to think more, do more questions, and try to do some of the original questions of the college entrance examination.
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Plot: rectangle -3 x 3, 0 y 3, polyline y=|x|
A total of 4*7=28 points can be taken, satisfying y |x|There are 19 points in the rectangle (including the edges) and below the polyline, and the probability is 19 28
Also used as a graph, as a rectangle -3 x 3, 0 y 3, the area of the rectangle is 3*6=18, as a straight line y=x, the area above the inner polyline of the rectangle is, the probability is.
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First of all, try to understand the example questions in the book, and do the homework after class, in fact, you can do it well, and you will master the basic knowledge.
Don't know what you're studying right now? I can give advice when I know it.
The first thing to understand is the definition of derivative, and understand that derivative is just another name for "instantaneous rate of change".
Only then can we understand the application of derivatives in terms of monotonicity.
Therefore, if you want to learn this section well, you must first work on the derivatives, and in terms of definition, you only need to understand the things in the book.
The later applications will involve the knowledge of functions, mainly monotonicity and maximum, so review this knowledge first.
First understand the simple application examples in the book, as well as the homework at the back of the book.
If there's anything you don't understand, ask your math teacher.
I think the teacher should be happy to explain to you when he sees your efforts, of course, you can't ask everything, you have to think about it yourself, so that you can become your own thing. Before understanding these basics, skip the comprehensive questions first.
If you can do all of the above.
Then I think you will have your own solution to the problem of derivative synthesis. (Of course, the comprehensive problem of derivatives is sometimes more difficult, and it will not be done normally, this should be done slowly, now it is only the second year of high school, mainly to lay the foundation, and there is a chance to understand the comprehensive problem when the first round of review of "Functions" in the third year of high school).
Hope these are helpful to you.
ps: If the economic conditions are okay, you can consider hiring a tutor, and it is estimated that 3 times a week will be fine.
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Hello, I am the parent of a student. I understand your eagerness to learn math well. First of all, I advise you not to be in a hurry, to learn mathematics well, you must first master a good study method. I would like to talk about my feelings and experiences, and I hope it will be helpful to you.
When my child was in high school, he was a liberal arts student and his math scores were not satisfactory. My advice to you is to change your mindset first. In junior high school, through a lot of practice, your grades can be significantly improved, because the knowledge of junior high school mathematics is relatively shallow, easier to master, through repeated practice, improve the level of proficiency, you can improve your grades, even so, some problems are not understood enough or even do not understand.
High school mathematics is highly theoretical and abstract, so it is necessary to work the understanding of knowledge, think more, and study more.
In addition, improving the efficiency of lectures is the key. During the study of mathematics, the time spent in the classroom takes up a large part. Therefore, the efficiency of listening to lectures determines the basic situation of learning, and the following aspects should be paid attention to to improve the efficiency of listening to lectures:
Pre-class preparation can improve the pertinence of the lecture. The difficulties found in the preview are the focus of the lecture; You can fill in the gaps in the old knowledge that you have not mastered well in the preview. The second is the science in the course of the lecture.
First of all, we should make good material and spiritual preparations before class, so that there will be no loss of books, books and other things during class; Before class, you should not do too intense sports or read small books, play chess, play cards, or argue fiercely. So as not to gasp or not be able to calm down after class. Finally, you have to pay full attention to the lecture.
Concentration is to devote oneself to learning in class, with ears, eyes, hearts, mouths, and hands. Teacher Pingmeng Wang, who tutored my child, also said that I think it is also very important, that is, we must carefully grasp the logic of thinking, the ideas for analyzing problems and the thinking methods for solving problems, and if we persist, we will definitely be able to draw inferences from one case and improve our thinking and problem-solving skills. In addition, pay special attention to the prompts in the teacher's lectures.
Teachers often give hints of certain language, tone, and even actions for some key and difficult points.
Finally, I would like to say that "interest" and confidence are the best teachers to learn mathematics well. The "interest" here does not mean to study mathematics or become a mathematician in the future, but mainly refers to not being annoyed and not being a burden.
Great motivation arises from great ideals". As long as you understand the importance of learning mathematics, you will have infinite power and gradually become interested in mathematics. With a certain interest, your confidence will increase, and you will not be discouraged because of the unsatisfactory results in a certain exam, and in the process of constantly summarizing experience and lessons, your confidence will continue to increase, and you will become more and more aware that "interest" and confidence are the best teachers in your learning.
I hope one of my tips will be helpful to you.
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I think it's best to ask a tutor to tutor you and review all the books from scratch, and if there is a disconnect in mathematics, it will only get harder and harder later.
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Crazy to do the basics, don't ask if you don't understand, don't accept all what the teacher says, be sure to turn it into your own ideas, and sort out the test points and question types, even if you pay the price of not keeping up, you have to do it, if you just follow it, you can't hear anything.
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Take out the old books and consolidate them, so that you can hear them well, and ask the teacher if you don't know.
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Mathematics is about laying a good foundation and then deepening it step by step. I'm a math teacher, I know that. Mathematics is really important in the college entrance examination, you now realize that it is late, but it doesn't matter, don't be discouraged, as long as you and I do it, it is to redeem, first of all, you must understand the class, this is the most important, if you even learn hard in the class, then you really have to work hard, every example problem in the book, you must find a way, ask a tutor, let the teacher help you tutor, it's okay.
Listen attentively in class, take notes that should be made, I think, since you don't know anything about mathematics, you should hire a better tutor, tutoring is particular, you must choose rich teaching experience, it is best to teach high school, it is best to have experienced many college entrance examinations, which is very important. After you understand the inside of the lesson, deepen it. The college entrance examination is generally coping, junior college, three books, almost, if you do a lot of extracurricular problems, do well, then luck has two books, as for one, then it depends on your own efforts, but, well, it's not a blow to you, the second year of high school to study mathematics well, a chance is relatively slim, but you have to work hard.
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1. English and Mathematics, prepare in advance.
2. You can buy: Beijing Education Publishing House's "Basic Knowledge Manual" and other basic teaching aids, only one set. You don't have to buy a lot of them, just keep them simple and practical.
3. You can go online in advance to read some college entrance examination papers and college entrance examination syllabus. Enter the test-taking state early. Be confident.
Three from one big - everything from the difficulty, all strict, everything from the actual combat, large amount of training.
4. Chinese and English grammar should be mastered. Grammatical backbones such as subject-verb-object-definite complements, infinitives, clauses, direct and indirect speeches should go deep into the bone marrow. Regular phrases and common phrases must be memorized, and new words can be memorized from time to time every day.
5. In the formulas of mathematics, theorems and inferences other than axioms must be deduced by themselves. Homework should be completed quickly and correctly. It is necessary to know what it is and why it is so.
6. The questions of the college entrance examination are derived from the textbooks, which are difficult to teach the textbooks, and more than 70% of them are basic and intermediate questions, and the textbooks are the top priority.
7. Middle school English and mathematics are important basic courses for most practical and difficult majors, which are crucial for choosing a major in the future. It is a discipline that plays a strategic core role.
Remember a sentence: everything is not as good as its sect, first sort out the exam syllabus, set feasible goals, use the method of Tian Ji horse racing to deal with the exam, eat meat first and then gnaw bones. Usually, you can watch more of the Battle of Julu or the Battle of Sarhu, and I will only go all the way with him.
This is how you can focus.
The heart can't calm down, one way: refer to Xiang Yu, the overlord of Western Chu, who broke the cauldron and sunk the boat, and won nine battles and nine victories. Capture and kill 400,000 Qin troops.
Wu Shengyi is absolutely Guan Yu, warm wine beheads Huaxiong, beheads Yan Liang, and punishes Wen Chou. Pass five levels and kill six generals. Treat exams as if they were a war.
Use momentum to replace the buoyancy and dryness.
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Don't be in a hurry. Listen well in class. Do the questions carefully. Slowly it will follow.
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Mathematics: Theorems in textbooks, you can try to reason on your own. This will not only improve your proof ability, but also deepen your understanding of the formula.
There are also a lot of practice questions. Basically, after each class, you have to do the questions of the after-class exercises (excluding the teacher's homework). Learning is a process of accumulation, and the more you know, the better you learn, so memorize more and choose your own method.
Good luck with your studies!
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Let me tell you a truth, mathematics is practiced! As for you, let's make up the basics first!
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I'll just tell you one truth: mathematics is practiced, and there are no shortcuts.
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Start from the basics, take notes in class, this is very important, if you don't know how to do the questions after class, there are notes to help, do the questions independently, don't always look at the full solution, ask classmates is better than that, if you really can't find a tutor to make up for it, you have to master the method of doing the questions, and you don't care how much.
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If you don't get good grades, don't be in a hurry to do the questions, first read the textbook, read the content of the textbook to basically understand, and then look for this material, such as the textbook full solution, the kind of book that doesn't need to do the question, just some example questions, take a good look, don't read too much information, just read a book repeatedly. Learn how others solve problems. Then try to do the questions.
If there's anything you don't understand, you can ask me and we'll discuss it together. If you have good grades, then you can find some questions to do, or make some questions for others to do haha.
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1.Be patient: Write step by step when calculating, and start over once you make a mistake.
Don't miss the small knowledge points, and memorize the basic knowledge repeatedly. 2.Perseverance:
Mathematics learning should take more time, insist on doing a good job in each question in the textbook, and the longer the time, the better the results. 3.Have confidence:
Don't be scared by the puzzle and break the jar. Encourage yourself more and make progress.
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