Middle and high school math faults, seeking solutions, junior high school math faults... Help

Although quadratic functions are in junior high school, they are very important in high school, and they are the focus of the college entrance examination, and they must be examined! High school represents other functions as quadratic functions. In addition, there is the distribution of roots, which you can learn online.

The teacher will also talk about it. Other formulas will be learned later. It's just some trigonometric transformations.

In addition, you have to master factorization, monotonicity will be used. There are also some basic things to talk about, such as cubes and differences....In fact, there is no fault, as long as you work hard, the teacher will add it. Happy high school!

The backbone of high school mathematics and junior high school mathematics is the same, mathematics mainly studies numbers and graphs, and the knowledge of junior high school has actually been integrated into our thinking, and you will definitely be able to quote 1+1=2It is a truth, high school, in fact, the knowledge, modular, but really good at learning people are good at abstracting these modular knowledge into a way of thinking. However, one of the difficulties in high school is the intersection of numbers and graphs, and the analysis of geometry requires great effort.

In fact, the so-called fault line is because the difficulty is worth improving, and the difference between middle and high school mathematics is indeed very big, but don't worry too much, the high school teacher will let you adapt quickly. To be honest, I just saw your question and suddenly realized it, so don't worry. However, you can take a look at the high school books in advance, so that it will be easier to be sure, and I hope it will help you.

Complete cubic formula: (a b)3=a3 3a2b 3ab2 b3 Matching method: 1

The coefficient of the quadratic term is one. Equation as x2+px+q=0 in the form 2Transposition.

Move the constant term to the left. Equation as the form x2+px=-q 3Formulation.

On both sides of the equation is added the "general square of the coefficient of the primary term", i.e., x2+px+(p 2)2=-q+(p 2)2, i.e., (x+p 2)2=p2 4-q 4Defined by square root (1) When p2 4-q>0, the original equation has two real roots x1=-p 2 + root term p2 4-q x2=-p 2-root term p2 4-q (2) When p2 4-q=0, the original equation has two equal real roots (2 heels): x1=x2=-p 2 (3) When p2 4-q<0, the original equation has no real roots.

Do you use factorization and the covariance theorem?

Find an old math book!!

Or ask the teacher.

How do you learn math in high school? Is math hard to learn in high school?

Mathematics is a subject, both for liberal arts and science students. It is more important because it is one of the three main courses, and it accounts for a relatively large number of points. If you don't do well in mathematics, you may affect the study of physical chemistry, because those subjects are all about calculations.

However, these calculations are also in mathematics. How do you learn math in high school? What are some good ways to do this?

High School Mathematics. Know the reasons why your child is not good at math:

1. Don't let children learn passively, there are still many students who want to be in junior high school after going to high school, so they follow the teacher's train of thought. I don't have some derivatives, I didn't have a learning method before, and I won't look for it after class. If you practice with practice questions, you just wait for class, and you don't know what the teacher is doing in front of you to write about the content of the teacher's class, and just thinking about taking notes in class is not effective.

2. When the teacher is in class, he should express this knowledge clearly and analyze the key points and difficulties. However, there are still many students who do not pay attention in class. I don't know about many pharmacies, but I take a lot of notes, and there are many problems that I can't understand, and I won't summarize them after class.

Just hurry up and do your homework. When they write their homework, they just mess around and remind them that they don't understand the concepts and rules. Doing questions can only be done by chance.

3. Don't pay attention to the foundation, many children don't have a solid foundation, but they think they have learned well and want to move on to the next lesson, and the premise is that you have to understand all the content of the previous lesson. The evolution of the next question is underway. Find the right way to learn.

For how to learn high school mathematics, it is still important to find a suitable way to learn. The first thing we need to do is to cultivate a good study habit, good study habits include making a study plan, before class, study by yourself, listen carefully to the class when you are in class, and actually consolidate the knowledge engraved after class, and do exercises carefully after class.

At this stage of high school, children say that they are neither small nor big, and at this age, children are very impatient no matter what they do. For this situation, you should not worry. We just need to communicate with the child more and find out the reason why the child is not learning well.

The teacher asks the children to work on the blackboard.

Mathematics is responsible for developing children's arithmetic skills and children's ability to apply knowledge. How to learn math in high school? It still depends on the student's understanding of mathematics.

Students should have their own learning methods, and you should not only grasp the content of the teacher's lesson, but also consolidate and deepen it in time after the class.

1 If you want to do well in the exam, the textbook is a treasure. So read more textbooks.

2 Merely talking without practice is tantamount to doing in vain. So I still have to do the question.

3 Learn from the past and learn from the new. In this way, you can be a teacher.

4 The stupid bird flies first. Learn to preview in advance.

5 It's very easy to get all the exam papers issued by teachers!

Finally, self-confidence and perseverance are required.

Hehe, the superficial difference is difficult! But it's not hard to learn well, hehe. Then there will be a learning method.

First: basic knowledge, prepare a basic knowledge manual, you can buy that kind of small book by yourself, or accumulate it yourself, it is best to write it yourself, suitable for your own use. Don't think that the basics are very solid, and review with a correct attitude.

Start with the simplest knowledge. I took the college entrance examination for two years, just finished the college entrance examination this year, mathematics is very good, I think the basic knowledge is very important, the next few years the mathematics problems will not become difficult, the number of students will decrease, the question will continue to reduce the difficulty, throughout the college entrance examination situation in recent years, the emphasis is on the foundation, I failed in the exam the year before last is that the foundation is not solid, self-righteous, the result of the exam mathematics is very simple, a large part of the test is the basic knowledge.

Second: Correction of math mistakes. The accumulation of the wrong question book, we must insist, after each question is corrected, a different color pen is marked at the back to indicate the cause of the error, the wrong question book is very important, and you have to read it often, you can't want to wait for me to take a day to see, this is ineffective.

It is also good to review more, accumulate time to read, and read one question every day. It's about persistence.

Third, the accumulation and proficient application of mathematical methods must be mastered. Not only is it about your test scores, but it also gives you exam confidence. Here's a webpage with you, which is quite comprehensive.

Fourth: Listen carefully in class, don't think you know how to listen to it, this is a taboo in learning mathematics. Unless you're a math genius, you can be self-taught without a teacher.

Regardless of the above points, they are all very important.

Junior high school mathematics is to lay the foundation, in principle, it must be learned well, but not learning junior high school mathematics does not mean that you can't learn high school mathematics well, on the contrary, many junior high school mathematics masters still can't learn well in high school. In a sense, there is a certain disconnect between the two. Therefore, no matter how you are in junior high school, you must be cautious and never continue the learning methods of junior high school.

Not only math, but other subjects as well.

1.High school mathematics is a set of normative systems, which is used as a stage of transition to advanced mathematics in college. Take a look at the chapters in the math book, which blocks the entire high school mathematics is divided into, and what knowledge points are in each block.

The first thing to do when you review in the third year of high school is to take care of the knowledge points, so when you learn a new course, you should remember that this knowledge point is in that chapter, what it is used for, and what exercises it has with other knowledge points.

2。The high school math book is probably a list of formulas, then push some other formulas, and then come up with a simple example problem. And you will never see the questions in a book during an exam.

Therefore, when you are in class, you should figure out the knowledge points one by one, how it came about, and what it does. If you don't pay attention in class, you won't be able to make up for it even if it takes several times as long after class.

3.The questions seem quite complicated or have never been seen, in fact, they are all examined according to the knowledge points, so learning how to think is the most important, there may be several or even a dozen solutions to a question, and you have to do it again at ordinary times, and you will know which method is the most time-saving when taking the test. Don't play the sea tactics.

4.The most important thing is the solution idea, the answer to the question is not important, the important thing is that you know how to do it. During the exam, the teacher knows at a glance whether you will do it or not, even if you don't do it, put the steps there, the teacher will know that you can do it, and will give points.

A few points of nonsense, it's better for you to experience it yourself.

Middle school math is mainly basic, and it is not difficult to understand. High school mathematics has increased in difficulty and complex content on the basis of junior high school mathematics, the main thing is to learn the basic knowledge, practice more after class, and have an overall framework of mathematics in your mind, so that it will be easier to learn. High school math is difficult, have the confidence to overcome it, and don't be discouraged.

Junior high school knowledge knowledge base, high school knowledge is to use junior high school knowledge to do questions, if you have a solid foundation, then it is easier to learn high school math knowledge.

There is no way, only to summarize by yourself, you look at your knowledge in elementary school, you basically can't use it in junior high school, and it's the same in high school, just remember some algorithms.

The key is to be careful and clear, and then look for techniques.

Eh: I drew a rough picture.

Do ob oc vertical square to bc

Just prove that the triangle oab and odc are congruent because aob+bod=90°

bod+doc=90°

So aob = doc

Plus ob=oc

oba=ocd=90°

So OAB and ODC are congruent.

So area covered = oab+obedo= cod+obedo= cobe

One-quarter square of the area.

If you make perpendicular lines at the intersection of the diagonal lines to both sides of the square, two right triangles will appear, proving that the two triangles are congruent. Because the intersection of the diagonal lines is perpendicular to both sides of the square, a small square will appear exactly equal to a quarter of the area of the large square, so the area of the congruent equal substitution is a quarter of the area of the large square.

Equal to a quarter of the square area, I don't know how to explain the geometry problem in detail.

If you look at the square that doesn't turn, do the diagonal, there must be one that divides the overlapping area into two triangles. The diagonal line simultaneously divides the square area into four congruent isosceles right triangles. See, the overlap is cut into two triangles, take one at random, and it falls in an isosceles right triangle divided by a diagonal line of the square, and the other triangle of the overlapping part is exactly equal to that isosceles right triangle minus the overlapping part.

It can be proved that the diagonal of the square is equal and bisected with each other, so the four line segments separated by the intersection are equal, both triangles have an angle of 45 degrees, and the other set of angles is equal because the top angle of the square is 90 degrees, and the diagonal lines are perpendicular to each other, while subtracting the common angle. The area of the congruent triangle must be equal, so that the area of the overlapping part is equal to the area of the isosceles right triangle, which is equal to the area of 1 4 squares.

Since there is no diagram, the explanation of this problem is uncertain. It can be found that the area of the overlap of these two squares is the area of a square of 1 4, i.e., 1 4I can show you how:

Wherever it is rotated, it is reduced to a small square that occupies 1 4 large squares. Then, the cut-and-make method is used to prove the congruence of two triangles containing the dashed lines made.

High school mathematics is very flexible, you may not understand it when the teacher speaks, you have to do a lot of exercises, from which to experience its real essentials, and the amount of high school mathematics calculations is not so large, high school geometry is space, requiring students to have a strong spatial imagination, which is different from junior high school.

In general, it is useless to just listen to the teacher to learn high school math well, and it takes a lot of practice.

Absolutely

Don't worry, you can start from scratch.

Outside, no matter how well the teacher speaks, it is not as important as taking a class at school.

Hehe, this has nothing to do with it, take a good look at the math textbook of the first year of high school, it's not difficult, and the connection is not very that,

I think it's okay, junior high school math is more concrete, while high school math is more abstract, and it doesn't have much to do with junior high school math knowledge, so you must first build up confidence, and on the basis of understanding, just do more questions and understand more.

As long as you listen carefully in class, take good notes, and ask questions frequently. You will definitely be able to learn well.