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Personally, there are two situations in learning mathematics, one is interest, and the other is the pure college entrance examination. The former is not much to say, for the latter, it is estimated that the landlord also belongs to the latter. I have personal experience, to tell the truth, a little higher mathematics is not lower than 140, but the college entrance examination mathematics is the worst, there are many reasons, but I still have a say in the content of the first year of high school.
First of all, it is to do the most traditional work, pre-class preview, I personally think this is very important, you must be very serious preview, find out what you don't understand, when necessary, you need to find reference materials, you must know a chapter, which place is not understood, which place is ignorant, listen to the class is very targeted, because scientifically speaking, a person's attention span is not 45 minutes at all, generally much less than 45 minutes, half an hour is good, so, in order to improve the efficiency of the class, It's important to know what you need to listen to in class and what you want to know.
Secondly, it is class time, don't take notes, don't take notes in class, of course, this is my personal opinion, because, the process of taking notes will unnaturally interrupt the train of thought, you should know very well that mathematics itself is a very logical subject, simply talking about a topic has many steps, as long as you can't keep up with the middle step, then the back will be very difficult, then the whole class, you will find yourself quite a failure, will seriously affect your self-confidence.
As for the after-class review, it is the top priority, there is nothing more important than review, some knowledge points, especially the difficulties encountered during the preview, we must take the time to see and think after class, and on this basis, find a more targeted topic to do, and then, inductive, summarize the practice of the corresponding knowledge point topics, and completely transform them into their own.
As for the final general review, there will be a focus when reviewing, of course, some more basic knowledge, that is, the topic of "sending points" must be grasped, which requires that the basic knowledge must be firmly established. 150-point questions. At least about 120 can be scored, in the matter of getting points, in fact, as long as the foundation is mastered, then you must pay attention to details, that is, don't be careless, objectively speaking, ask yourself if you score all the questions you will do in each exam, I think, those scores are also considerable.
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First of all, you must have the confidence that mathematics can be learned well as long as you work hard, and you will have many difficulties to overcome before you can find a learning method that suits you. My personal suggestion is to start with simple questions, such as the practice questions in the textbook, the practice questions in the textbook are derived from the textbook, which is very basic, and the example questions will be almost done. A little bit of difficulty, most of the problems are evolved from simple questions, but a few more knowledge points are tested in a question, find your teacher to recommend the materials suitable for you to do, mathematics learning must have a certain amount of questions to practice.
Nonsense, I hope it helps, after all, everyone's situation is different.
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At least take the class seriously, and secondly, you must do all the exercises in the book, don't look down on the exercises in the book, which is the most basic, and then you should buy a reference book after class (there must be explanations and questions, you can look at it if you can't do it), and the test papers of the exam must be analyzed by yourself, and you can't make the same mistakes every time. Ask more, see more, do more.
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I'll teach you, one of them, to do crazy questions.
Second, make a summary.
Third, apply what is summarized in practice. You do it first, it works. Give it points! There will be time to discuss it together later.
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You'd better think about whether you want to study science or liberal arts! Because liberal arts and mathematics are quite easy, science is relatively difficult. Nowadays, most schools focus on science, so in the first year of high school, the homework is relatively difficult. If you are studying science, you should seize the time now, ask more questions, and do more questions.
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I recommend you to Xinhua Bookstore to buy "Zhuangyuan Notes" that information book is very good, examples, easy to make mistakes, and expansion are involved, you can try it, I hope it will help you.
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1.First of all, don't memorize the formula, you can memorize it by derivation.
2.Do more questions, only then can you come up with a way to do this question as soon as you see it in the process of doing it in the future.
3.For the questions you have done wrong, you must summarize them, only in this way can you improve yourself. Mistakes are inevitable, but you have to look at it with the right attitude and don't neglect to summarize the question because it's simple.
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It's very simple, pay attention to the textbook, and keep doing the material questions.
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Listen carefully in class and practice more after class.
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). The improvement of mathematics scores and the mastery of mathematical methods are inseparable from the good study habits of students, so good mathematics learning habits include:
Listening, reading, **, homework Listening: should grasp the main contradictions and problems in the lecture, think synchronously with the teacher's explanation as much as possible when listening to the lecture, and take notes if necessary After each class, you should think deeply about it and summarize it, so that you can get one lesson and one lesson Reading: When reading, you should carefully scrutinize, understand and understand every concept, theorem and law, and learn together with similar reference books for example problems, learn from others, increase knowledge, and develop thinking **:
To learn to think, after the problem is solved, then explore some new methods, learn to think about the problem from different angles, and even change the conditions or conclusions to find new problems, after a period of study, you should sort out your own ideas to form your own thinking rules Homework: to review first and then homework, think first and then start writing, do a class of questions to understand a large piece, homework to be serious, writing to standardize, only in this way down-to-earth, step by step, in order to learn mathematics well In short, in the process of learning mathematics, It is necessary to realize the importance of mathematics, give full play to one's subjective initiative, pay attention to small details, develop good mathematics learning habits, and then cultivate the ability to think, analyze and solve problems, and finally learn mathematics well
In short, it is a process of accumulation, 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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My experience was right.
All the formulas learned in high school math textbooks are listed.
Do practice questions for all the formulas (not too many).
Proficiency in applying all formulas.
If I score 150, I should be able to score more than 130, and I am at this level.
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Use derivatives to solve problems.
an(x-1)^n]’=n* an(x-1)^(n-1).
x 1) to the power of n, a0 to the power of a1 (x-1), to the power of 2 of a2 (x-1), to the power of 3 (x-1) + ......an(x-1) to the nth power.
Derivative of x on both sides yields:
n(x+1)^(n-1)= a1+2a2(x-1)+ 3a3(x-1)^2+……n* an(x-1) (n-1), in the above equation so that x=2 yields:
n*3^(n-1)= a1+2a2+ 3a3+……n*an, i.e., sn=a1+2a2+3a3+......nan =n*3^(n-1).
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Let x=1 and x=2 to get sn=3 to the nth power of sn=2 to the nth power.
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Solution: Let the coordinates of the moving point p be (x,y), then it is known that there are: the square of the square y under the root number [(x-1)] the square y of the square under the root number [(x-4)]=1 2, and the following is obtained
The square of x y = 4———1), if the equation of the curve w is (1), and the straight line that intersects the curve w at the two points of a and b is: y=kx 3———2), assuming that there is a point q on the curve w, so that the vector oq=oa ob, let the coordinates of the two points a and b be (x1, y1) and (x2, y2) respectively, then the coordinates of the q point are (x1 x2, y1 y2), and the solution of the equation composed of (1) and (2) obtains: x1 x2=-6*k (the square of 1 k), y1 y2=6 (square of 1 k), since the vector oq=oa ob, the coordinates of the q point are [-6*k (the square of 1 k), 6 (the square of 1 k)], and since the q point is on the curve w, so:
6*k (1 k square)] [6 (1 k square)] = 4, the solution gives k = 2 times the root number 2, k = - (2 times the root number 2).
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To tell you the truth, you do all the exercises in the textbook twice carefully, and I guarantee that you will get more than 120 points.
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Because n formulas are multiplied, every two coefficients will be multiplied. So add the coefficients of the first square of x. Find only the primary square of x and multiply it with other numbers to get the coefficient of the first square of x. i.e. 1+2+3+4+....+n = n(n+1) 2 as you know
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1+2+3+……n=n(n+1)/2;
Congratulations! Just this answer, understand it well, this question is not difficult.
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The x items in each parenthesis are multiplied by one in the remaining parentheses: 1+2+3+++n
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4. Outside the heart!
Third, remember that the two adjacent edges of the diamond ABCD are vector A, and Vector B is the diagonal AC = vector A + vector B
Diagonal db = vector a - vector b
So vector ac·vector db = (vector a + vector b) · (vector a - vector b) = (vector a) - vector b).
In the rhombus ABCD, the adjacent edges are equal, so the vector AC and vector DB=0 Therefore, the diagonal AC and the diagonal DB are perpendicular to each other!
Due to the symbol input, you need to add a vector arrow symbol to the top of the above line segments and lowercase letters! )
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(1) The logarithm is meaningful, the true number is 0, x>0, and the function definition domain is (0, +
f'(x)=(x-2)'lnx+(x-2)(lnx)'+1'
lnx +(x-2)/x+0
lnx +(x-2)/x
f''(x)=(lnx)' +[x-2)'x-(x-2)x']/x²
1/x +2/x²
x+2)/x²
x>0,(x+2) x constant 》0,f''(x) Constant" 0, f'(x) Monotonically increasing, with at most one zero point.
Let x=1, get f'(1)=ln1 +(1-2)/1=0 -1=-1<0
Let x=2, get f'(2)=ln2+ (2-2)/2=ln2>0
Derivative function f'(x) has 1 zero point on the interval (1,2), then this zero point is the derivative function f'(x).
The number of zeros on (1,2) of the derivative function is 1.
2)f'(x) increases monotonically on (0,+, and f'(x) has a unique zero point, let this zero point be x=x0, (1 then 0x0, f'(x) >0, f(x) monotonically increasing.
When x=x0, f(x) obtains the minimum value.
1-1<(x0-2)lnx0<0,0<(x0-2)lnx0 +1<1
f(x0)>0
When x=x0 again, f(x) takes the minimum value, so f(x) > 0
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