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Question 1 The odd function f(x) defined on r, when x is greater than or equal to 0, f(x) = -x squared + 2x, and the other function y=g(x) is defined in the domain of [a,b], and the value range is [1 b,1 a], where a is not equal to b, a and b are not equal to 0, and on x belongs to [a,b], f(x)=g(x).
Q: Is there a real number m, which is the set {(x,y)|y=g(x), x belongs to [a,b]} and contains exactly two elements.
Question 2 is to know that the set of functions and m are the totality of functions f(x) that satisfy the following properties, and that there is x0 in the defined domain, such that f(x0+1) = f(x0)+f(1).
1) Does the function f(x)=1 x belong to the set m? Why?
2) Knowing that the x power of the function y=2 has an intersection point with the image of the function y=-x, it is verified that the x power of f(x)=2 + the 2nd power of x belongs to the set m.
Question 3 is known to be to the xth power of the function g(x)=3, and f(a+2)=18, g(x)=3 is defined to the x-power of -4 to the x-power
1) Find the value of 3 to the power a and the analytic formula of the function g(x).
2) Judge the monotonicity of the function g(x).
3) If the equation g(x)=m has a solution, find the range of the value of the real number m.
Question 4 Knowing that the domain of f(x) is an odd function on [-1,0)u(0,1], and when 0 is less than x or less than or equal to 1, f(x) = lg(x squared + 9).
1) Find the expression of the function f(x).
2) Find the maximum value of the function f(x).
3) If f(the square of lgx) is less than f(1+lgx), find the range of x values.
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I don't think there is such a thing as a theme in mathematics. Shanzhai Lu Xun said: There is no law in mathematics, and if you do a lot of problems, you will have a law.
Mathematics is characterized by its flexibility and versatility, and a new form appears in almost every exam. I think the best way to solve problems I haven't seen before is to do more questions, and if you do more, you will be done.
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Eventually, the theme will evolve into a variety of topics, which is no different from doing many problems. You're going to do more questions.
If you are familiar with this kind, it will definitely help if you do more questions... It's true.
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All questions can be said to be "mother themes".
As long as you memorize it carefully, you don't pay attention in class, and the homework left by the teacher is done carefully, and you don't fool around. Mathematics is very good to improve.
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1.I don't deny that good math is associated with genius, but good math is not the preserve of genius.
2.Mathematics examines the sensitivity of responses, which is what we usually call mathematical awareness, and we need to associate all the knowledge points related to it in an instant in order to do a good job. This is where mathematics is hard, but it is precisely where it shines.
3.The first thing to do well in math is to ask yourself if you really want to learn it well, and if you can do it, then you have succeeded in a fifth.
4.Put it into practice. "If there is a will, it will be done, and the one hundred and two Qin passes will eventually belong to Chu.
Hard-working people, the sky does not bear, lying on the salary to taste the gall, three thousand Yuejia can swallow Wu. "That is, work hard from now on. I can introduce you to a few methods:
a.Preview in advance. At least twice as fast as the teacher's progress, and at the same time understand the after-class exercises, remember to ask questions if you don't understand.
b.Ask your teacher to buy one or two sets of papers that suit you, and of course if you're lucky, your teacher will give you some of their own papers. c.
It is necessary to consciously do problems, learn to draw inferences, try to draw inferences, and connect geometry and algebraic knowledge to the comprehensive application (mainly to apply geometric knowledge to solve algebraic problems) dLearning to take notes is not about memorizing every step of a math problem, but about memorizing as briefly and clearly as possible, and at the same time, after memorizing a problem, you should stop and think about it, summarize the rules, and write down the annotations.
5.Mathematics learning is a little different, the exam needs a state of excitement, but when doing the questions, you must make your heart calm, calmly review the questions, answer the questions flexibly, learn to give up, and don't lose big because of the small.
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In fact, it is more practical to buy some textbook-specific ones, such as the second textbook with example questions and improved questions.
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Buy extracurricular books. Do the hardest questions.
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I would like to recommend you a teaching supplement "The Case of Wang Houxiong", which is used by many students in high school.
There's a lot of example problems in there, which is what you call the mother theme, and there's a lot of sub-questions in the back.
Of course, learning mainly depends on yourself, and it is recommended to prepare a good question book and copy down all the questions that you think you can draw inferences from.
It is convenient for later review and use. You need my answer in **Improvement can be asked.
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Some of the themes are simple, but her sub-problems are difficult, but the methods are similar, so after learning mathematics and learning methods, the next thing is to brush the questions, and then brush the questions, just see more, or add a learning group, where everyone shares progress together, or do more.
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Sort it out yourself.,The theme will.,The sub-topic may not be reflected.。。
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If you love the Internet so much, then find more ** about mathematics to see, try to make yourself interested, for the problems in the mathematics textbook, you should keep in mind These are the basics, the most basic and the simplest, it is best to read the formulas every day, and memorize them more.
You don't have to do too much homework, you should copy it, but you have to learn what questions to copy, what questions to do, and the same type to do until you know how to do it It should not be more than 3 If you have more, you will be annoyed to buy this exercise book The time saved will be used to do this If you do one of each type of questions quickly, you can get results in a month.
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Do more questions.
Talk to the teacher.
Please take care of him and her.
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You can only control yourself, if you don't study, it's useless to hold on to your feet temporarily.
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I can only study hard, focus on some basic motifs, and 5 3 divine books are the best to use.
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If you want to improve in high school math, then buy a book about high school math competitions (e.g., "Mathematics Olympiad Course", "High School Math Olympiad Course").
If you want to learn mathematics well, you must follow the teacher's ideas, you must ask if you don't understand, you must complete the homework and exercises independently, even if you complete it very slowly, selectively look at the answers, especially some off-topic questions, you must not remember the answers, and each question must understand its connotation, that is, the solution ideas and methods of this problem are the key, do not record the mother topic when taking notes, that is, the questions cited by the teacher in class, which are easy to use when reviewing back, and to establish a wrong question book, do not write the process, only remember the answers, As soon as you have time, look through to find ideas, don't just look at the knowledge points and wrong questions before the exam, but also do one or two questions to practice your hands.
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Preview is a good habit, and if you can stick to it and grasp the general situation, it shows that your self-learning ability and ability to receive new knowledge are very good. I think you should develop new knowledge on a solid foundation. I don't know if you are a ** person, I am from Hubei, and in recent years, the advantages of our Hubei college entrance examination mathematics have become more and more obvious.
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It is recommended to learn and think, its handouts are thorough and difficult. If you want to compete, Xueersi has a special competition class. More than half of the extra points and guaranteed points in the Beijing college entrance examination are Xueersi, and more than 80% of the students affiliated to the National People's Congress are Xueersi.
As for domestic and international awards, Xueersi students have also won a lot.
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Based on what you say, your academic performance should be okay. But after all, you are self-taught, and it is normal for you to understand the analysis, and it is already very good to always get one or two questions wrong in the math paper.
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I have some study plans with audio, I hope I can help you, give you one first, and help you with synchronization if needed***
If you want books, choose Tianxing, educational books, you can go to the official website and read it, thank you.
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You can build a problem book and then study the reasons for the mistakes in detail Mathematics is a first impression When you are serious in class, you have to insist on practicing your pen every day after class You can't be negligent What about extracurricular books You can think of older brothers and sisters Borrow workbooks After all, the teachers choose from thousands of choices The difficulty is also from easy to difficult It's not bad There is no need to buy other books.
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It is just a set of question banks, "Super Theme" is Tsinghua Tongfang Publishing House and Tsinghua Tongfang joint 100 famous schools, more than 200 famous teachers, through the analysis of the question types of the high school and college entrance examinations over the years, summarized the core test points and core question types and proposition trends of the high school and college entrance examinations, that is, the proposition law type of questions - the mother topic, all the high school and high school examination questions are included. In the past 10 years, the "Super Theme" has been continuously revised and upgraded according to the annual examination syllabus, and in the summarized theme, it has collided with 19,750 real questions of the high school entrance examination across the country, with a similarity of up to 95%.
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Believe that your teachers are the best.
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It's not easy to do, but it's important to understand.
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Personally, I don't think that mathematics needs a special correction book, just a notebook to record the mistakes in the corresponding knowledge points. This is helpful for revision, and I have a secret that many test questions are similar to theorems and definitions in the book, so I must grasp the book and believe that as long as I know any knowledge of the test points, I will not be afraid of anything.
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Mathematics is mainly to look at some basic, representative themes, it is recommended to buy a five-year high school entrance examination three-year simulation, I personally think it is very easy to use.
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Look at the example questions and ask the teacher more.
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"Three-foot Podium" and "Dialogue with Famous Teachers" also have white covers, and there is a key.
What I did when I was a freshman in high school was the 3+3 issued by the school, and I didn't need to ask the teacher if I didn't know it, and I didn't need the tactics of the sea of questions in the first year of high school. )
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Why do you just think it's a book?
Don't hang yourself from a tree.
Other books are also good, like "Detailed Explanation of Textbooks", "Clicking", "Analysis".
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First of all, don't be afraid, faith is important. Secondly, analyze clearly what is wrong every time. You really don't understand?
Or is it a negligent loss of points? Finally, draw up a study plan. Why do others learn better than you?
Why is the score higher than yours? Ask your teachers and classmates. Don't get tired of it.
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It's okay, don't be discouraged, just learn the rest well.
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First of all, understand the knowledge in the book and be able to use it flexibly. Just go on some more questions.
It's not difficult to say, it just depends on whether you can persevere?
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It doesn't matter, it's still too late, the most important thing is to do more questions, and then combine the content in the book... It may be very vague to say this, but there is no rush anyway, you have to think that I will definitely be able to learn math well, and I will concentrate on doing the problem well.
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Hehe, hello this classmate. Judging from your question, I feel that you should be a person who pursues progress and is not willing to lag behind. With this unyielding spirit, you will force yourself to work hard!
I don't think your biggest problem at the moment will be the lack of methods, a person who wants to be motivated will.
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The first year of high school is the adaptation stage, and it is inevitable that you will not be used to the rapid learning process. I failed several exams in my first year of high school, and I was quite irritable. However, we need to do more problems, first do some basic problems to practice, gradually adapt to the problem-solving thinking and skills of high school math problems, and slowly master its rules, and our math scores will improve.
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I took the math college entrance examination 138. In the math test paper, the basic questions will not be difficult, the main thing is the accuracy. The most important thing is the idea of mid-range questions, sometimes the question path is right, and the score naturally goes up, what we have to do in the examination room is to give full play to the accumulation of questions that we usually do, and the problem, unless it is a master, or no one dares to say that it is sure.
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Don't worry, don't be discouraged and continue to work hard, but practice more, do more questions, don't ask more, in fact, it's those fixed question types, you will, one will be the same You have to know how to draw inferences.
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Do more questions, just look at the knowledge points to get half the effort, you will feel confused at first, but after accumulating a large number of question types, the questions will be very smooth. I'm in my third year of high school, and this method is very effective. It will take about a month to have results!
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The important thing is to grasp the idea of the motif. Get a notebook and write down the typical, error-prone things. In class, the teacher should write down the methods he says.
Write down one type of topic together. When doing homework, you can't ask people questions at every turn, especially not to answer with others. These may seem ordinary, but sticking to them will pay off.
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I used to be too, my grades plummeted in the first year of high school, and I gradually got better from the second year of high school, don't be discouraged and work hard to persevere, and make a little progress every day, then the third year of high school will definitely have unexpected gains. In fact, mathematics does not have to look at scores, as long as you recognize the shortcomings of the knowledge tested each time, and then specialize. Come on.
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We all have the same problem as you, math is to do more questions, don't know how to ask more questions, just do it, I wish you success in your studies.
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Do more questions, don't be distracted in class, listen carefully to the questions, and don't reply to the questions, and find the same type of questions to do after you come down. That will improve you, and you can rest properly, don't always do questions, and let the cranial nerves be properly relaxed.
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This is very normal, in junior high school, you have a lot of it, but you don't learn it, so in the first year of high school, you don't want to get high scores in mathematics, and now the Education Bureau has changed all the textbooks in junior high school, and a lot of the knowledge that was taught by people in the past is not available now, and in high school, teachers will think that a lot of knowledge should have been taught, so they will talk very quickly, take notes, and read it.
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