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First, the lineage. High school mathematics and junior high school mathematics are closely related, the junior high school is plane geometry, and the high school is three-dimensional geometry and analytic geometry, which exercises spatial thinking ability; Algebra in junior high school is a simple functional transformation Algebra in high school is the basic course of the "three highs" (science) or advanced mathematics and engineering mathematics (engineering) in college.
2. Calculus.
More than 20 years ago, there was a course in high school, a national unified textbook called "Preliminary Calculus (A Edition)"; After that, I may change to a university lecture. Calculus is a functional course called algebra in high school, but in fact, calculus is just an analytical method in college, and it is used in many courses.
3. Recommendations:1. If you want to learn geometry well in high school, look at the drawing geometry You have to see it before you can think of it.
2。Students with good grades are advised to take the test until 98 99, and the "cost" of pursuing a full score is too high, which is not conducive to the exam mentality; Students with average grades, don't worry, read the next one.
3。The fastest way to learn is to listen to the teacher, and you must ensure the quality of the lectures. 80 are guaranteed to understand in class, and the remaining 20 are analyzed in class. You don't have to do too many questions, just pick a good book and keep up with the progress of the class to "do it thoroughly".
4。Others: High school mathematics pays attention to "transformation and change", but the most difficult thing is "looking for the change in the constant".
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The fastest way to learn is to listen to the teacher. You should find someone who fully understands high school math to help you talk about the key points and the types of questions that must be examined. In fact, if you have a book, you will have a basic understanding in one day.
In a week, you can take the math exam with confidence. But you have to find the right person, have all the books, and have a hard work mentality. Exams are always easy.
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In fact, the content of high school mathematics is very monotonous, and it does not have the knowledge involved in advanced generation, mathematical analysis, and differential geometry in college. Therefore, it is recommended that you combine books and homework problems, after all, learning high school mathematics is to do more problems, there is no other shortcut, this is to lay a good foundation for deeper research in college, I am from the Department of Mathematics, and I only know the monotony of high school mathematics when I get to college, as long as the landlord can insist on practicing every day, it is very simple to learn high school mathematics
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You can concentrate your time on the key points if you don't have enough time.
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No.
Higher mathematics refers to a part of mathematics that is more complex in terms of objects and methods than elementary mathematics.
Broadly speaking, mathematics other than elementary mathematics is advanced mathematics.
There are also more in-depth algebra, geometry, and simple set theory.
If it is preliminary, logically preliminarily called secondary mathematics, it is regarded as a transition between elementary mathematics at the primary and secondary school level and advanced mathematics at the university level.
It is generally believed that higher mathematics is made up of calculus.
More in-depth algebra and geometry.
and the intersection between them.
Brief introduction. Elementary mathematics studies constants and constant variables, while higher mathematics studies non-uniform variables. Advanced mathematics (it is a general term for several courses) is an important basic discipline in science and engineering colleges, and it is also a compulsory mathematics course for students majoring in science and engineering who are not majoring in mathematics, as well as a compulsory course for some other majors.
as a basic science.
Higher mathematics has its inherent characteristics, which are a high degree of abstraction, rigorous logic, and wide application. Abstraction and computation are the most basic and significant characteristics of mathematics, and with a high degree of abstraction and unity, we can reveal its essential laws in depth and make it more widely applied.
Strict logic means that in the induction and arrangement of mathematical theories, whether it is concepts and expressions, or judgments and reasoning, the rules of logic must be applied and the laws of thinking must be followed. Therefore, mathematics is also a method of thinking, and the process of learning mathematics is the process of thinking training.
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Advanced math is a math textbook in collegeFurther MathematicsAbbreviation. This is not the same level as high school math, and it is much more difficult than high school math.
Advanced mathematics is different from high school, which introduces a lot of new mathematical concepts, and if you want to learn advanced mathematics well in college, then you have to spend more time, more energy, and better methods.
2. Higher mathematics is a big course, there are many students studying together in a classroom, you must choose the first two rows to do when you enter the classroom, listen carefully to the teacher's lectures, and keep up with the teacher's thinking, so that it is easier to understand the content of the teacher's sail in the oak.
3. Do a good job of reviewing after class, there is a lot of knowledge in high mathematics that is coherent together, and we usually have to learn all kinds of knowledge to integrate it and think about it.
4. After all, mathematics is a practical subject, we need to practice with exercises after learning and studying, strengthen our memory points, and achieve the interconnection between textbooks and exercises.
If you do these simple things well, then it will not be difficult to learn advanced math well, at least in the process, you will have absolutely no problem coping with the final exam.
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Let the vector coordinates of b be Xiaokai (x, y), bring in the conditions, and the two vectors of the vertical sit horizontally and multiply the old scatter mark plus the ordinate multiplication is equal to zero, and the length is equal to three, you can calculate the vector coordinates of b, and then do it with the coordinates.
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I'm going to do it here, no, after graduation, I'm going to pay back all the teachers who accompany him, but I feel that (a b) and (a + b) should have some kind of chaotic connection.
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Subscribe. High school math is certainly hard to learn. Many students who can score 130 or 140 points in junior high school can score 130 or 140 points at every turn, and when they enter high school, their math scores are even lower than their student number, which is a clear proof that high school math is difficult to learn.
Someone once vividly said the difference between high school mathematics and junior high school mathematics: when you were in junior high school, the teacher taught you to make noodles in one class, and homework was to make noodles; A class teaches you to roll the skin, and the homework is to roll the skin; Until you are taught to make dumplings, you will be tested for making dumplings in the exam. When I was in high school, one class taught you to make dumplings, and the homework was to go home and steam the buns; When it comes to exams, it's pie that's tested.
Obviously, from the perspective of thinking, junior high school mathematics is dominated by imitative thinking, and high school mathematics is dominated by creative thinking, which requires students to draw inferences from one case and find different and the same rules. In junior high school, you can get a good score by practicing, and in high school, you can rely on understanding on the basis of practice.
From the above expression, we can see that the characteristics of high school mathematics are that we do not take what we learn (referring to not directly test), in order to say that the problem of pure Na Duanming, I will give an example that is not difficult in high school mathematics, as follows:
We learned the parity of functions in the first year of high school, and the students who are not very good at estimating the foundation can't think of the above topic at all, and the sobering is actually testing the parity of the function, we know that parity is a special symmetry of the function, and the image of the odd function is symmetrical about the origin, we can think that any image of a function about a point symmetry is obtained by the image of an odd function through translation, and this point is clear. It is necessary to find a way to find the odd function according to the "clues" presented in the question, and then use the image transformation to find the symmetry center of the function.
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High school math, high school math is definitely much more difficult than junior high school, you must learn a good foundation, to lay a good foundation for college.
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High school math is honestly not difficult as long as you master the skills, but if you don't have the skills to accompany the experience, it is indeed a more difficult course to learn, and it will affect your future college grades.
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When my sister took the first high school entrance exam, she was poor in math, and she didn't know the specific score, below three digits, and she was a science student, and she was very good at pulling scores. Luckily, I usually scored more than 400 points, and I scored more than 500 points in the college entrance examination. Repeat, the last math is 130+, the estimated score is 140+, and the last time to correct a correct answer.
I took the college entrance examination a year after her, and asked her about her experience, and asked in great detail, how do you usually prepare for mathematics, do a set of papers first or do it in sections, and so on. She said that she would do a set of questions and a set of questions, prepare a mistake book, and take a look at it before the exam. It's not a big deal.
After the college entrance examination, I suddenly realized that the method that told me how to assign the test questions did not matter at all. In the past, I was so obsessed with these appearances that I neglected the most important things. Just do one question and one question at a time.
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10.Now that you know that the abscissa of the extreme point is 0 and -1 2, then since the function increases monotonically from -infinity to -1 2, -1 2 to 0 is monotonically decreasing, and 0 to +infinity is monotonically increasing, the maximum is taken at -1 2.
11.According to the meaning of the title, know (5+1 3) <2 w<(6+1 3) If you draw the picture, you can know that there are 3 maximums and 2 minima, because from 0 to the first maximum site is x=5 6w>1 4, so it is monotonically increasing and w (8 ruined feast 3, 19 6) so cd
12.Since 3ax 2+cosx-1 constant "=0 derives it as 6ax-sinx, and then derivatives it as 6a-cosx, since the original formula is greater than 0 when x is infinitely close to 0, then 6ax-sinx is greater than 0 when x is infinitely close to 0, then 6a-cosx is greater than or equal to 0 when x is infinitely close to 0, so a>=1 6,c is correct ab is wrong and the fiber is silver, d is blocked by you [funny].
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I sell knowledge to do a question of macro elimination.
10f(x)=xe (2x)-x 2-x-1 4, then.
f'(x)=e (2x)+2xe (2x)-2x-1(2x+1)[e (2x)-1], by f'(x)=0, which yields 2x+1=0, or e (2x)-1=0, yields x1=-1 2, x2=0
x<-1 2 o'clock f'(x) >0, f(x) is the increment function; -1 20 o'clock f'(x) >0, f(x) is the increment function;
So -1 2 and 0 are the extreme points of f(x), choose a
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This can be answered by a high school teacher.
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I haven't read high school knowledge for a few years, and I forgot about it.
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Find the derivative of the first order of the disturbance and the derivative of the second order of the fierce state, and the bright Zhidan.
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x/(x-1)>0
x(x-1)>0
x 0 or x 1
Note: a b 0, equivalent to ab 0
a b 0, which is equivalent to ab 0 and b ≠ 0
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fx=(x+1)²-2
So the minimum value is 2 when x = -1 and the maximum value is x 5, and fx is equal to 23
Infinite approach, in fact, is a matter of limits. What we call x>0, it's not actually a number, it's a function, and it can be less than any given positive number. It should be said that 28+ x is infinitely close to 28, but in fact, it can never be equal to 28, because x is never equal to 0. >>>More
Upstairs did it wrong again.
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