How to learn the function content of high school math I can t understand it in class There are three

The basis of the exponential function is the exponential operation, the definition remembers y=a x(a>0, a is not equal to 1), draw a number line to see it, the classification of a, greater than 1, less than 1, in solving the problem, you have to consider the value of a, always pay attention to the value of a directly used, if not, you have to classify and discuss, the image is also related to this, greater than 1, increase the function, less than 1, subtract the function.

About Chapter II.

Actually, it's nothing, and the definition domain is based on the basic concept. For example, the formula under the root number is greater than or equal to 0, the denominator is not 0 as a whole, the base number is greater than 0 and not equal to 1, the true number is greater than 0, etc., the specific situation is analyzed. There are three methods for the value range, the first is judged according to the definition domain, which is suitable for some formulas that are more complex and cannot or are difficult to draw; The second is some learned function types, such as primary functions, quadratic functions, power functions, logarithmic functions, etc., as well as some special periodic functions, directly draw a graph, find the range of y in the image (also need to consider defining the domain); The third is to find out the increase and decrease by deriving, so as to determine the maximum and minimum values.

As for the analytic methods of functions, there are many more methods, so we have to take a look at them specifically, and I will give you an example here. For example, if there are unknown coefficients in the analytic formula of a known function, first look at the defined domain, and then according to the known, know the increase or decrease or the maximum minimum, find the derivative of the maximum and minimum values, and bring in the special points if there are special points, just like knowing that it is an odd function and knowing that the definition domain contains 0, you can bring in (0,0). I can't cover it all here.

Hope satisfied!

I didn't understand it at first. However, I insisted on learning, memorizing which concepts, and constantly asking teachers and classmates. Of course, you have to do the questions crazily, and the error correction book must keep up in time, and the review in the third year of high school is of great help.

You can learn the easy ones first, don't look at the difficult ones first, and finish the easy ones first when you take the exam, and do the difficult ones first.

Look at more textbooks, you can buy tutorial books to see, the most important thing is to look at yourself and do more topics.

In the first year of high school, it is difficult to take the difficult questions of the function content, but the basic ones should be firmly mastered, and the mathematical foundation must be solid whether it is selected in the future or in the selection of theories.

The function of the first year of high school has nothing to do with junior high school, don't think about how the foundation of junior high school is not good, first of all, you must grasp the present.

The monotonicity of functions as long as you can prove that you will look at it, and slowly you will find that there are only a few questions to do and do, which is not interesting:; The parity of functions is not difficult, take a good look at the book, and it is good to master the definition proof; There are also several kinds of comprehensive questions about functions, and some of them are particularly difficult, the key is analysis, and it is easy to write. Be calm, otherwise it will be terrible in the second and third years of high school in the future, the first year of high school is mainly a foundation, and it doesn't matter if you don't do well in the exam, as long as you don't understand the wrong questions, it's enough, and it will be of great help to you in the future.

Don't worry! It's normal to not be able to keep up.,But it's usually a step ahead of others.,For example, it's best to preview before class.,Usually do small exercises outside of class.。。。

This problem is not just a problem of difficult functions. If my guess is correct, you have always been afraid of functions in your heart, and you are not confident in learning them well, and it is very difficult for you to learn them well in this kind of mentality! The first is self-confidence, believing that you can learn well, as for the method, an important way to learn functions is to draw diagrams, you make the diagram of each function first, and many things will be clear.

But it's the psychology that counts. Hope it helps.

When I was a freshman in high school, my math grades were not very good. Now that I think about it, it's because I didn't adapt to it for a while, and although I learned something very simple at the beginning, if I didn't review it often, the learning effect would be very poor. This is my personal experience.

Later, I made up lessons at the teacher's house, and I did a lot of exercises, and my grades improved a lot, and then I was quite stable. In this way, I have confidence and I am more motivated to learn. One thing to pay attention to in high school is to understand every knowledge point.

It is very important to pin your hopes on the knowledge of the next section if you don't learn this part well. This will increase the burden of the third year of high school.

The most important thing is: if you don't understand the questions, you must ask the teacher!

The study of the first year of high school is to lay the foundation for the future, so you must learn solidly!

To learn high school mathematics, you should start from the textbook, preview it before class, and check out what you don't understand, and listen to it in class. After-class exercises must be done so that you can grasp the knowledge closely, and finally review after class. Go back and see what else is not clear, be sure to figure it out.

Remember to review before you forget!

There is also a notebook of mistakes prepared by yourself and reviewed frequently.

High school math functions are the most difficult part, in fact, it is not difficult to learn well, in general, you can solve through the function definition, the general properties of the function analytical, and some inherent functions, and finally the sea of questions tactics, I believe you will definitely get out of the shadow of the function, come on.

In fact, first of all, there must be a concept, that is, you are actually very good at mathematics, and don't hold the kind of psychological ...... that you don't know mathematics and hate mathematicsThen, for the questions that the teacher is taught, don't just memorize the answers, but turn a question into a series of questions that will ......

Don't doze off in math class, the teacher will expand the topic, that is our daily teacher will assign homework, you must insist on doing it yourself, do not plagiarize, you can ask the teacher ......

I remember a time when I wasn't very good at math, I would try my best to cheer myself up, and then do problems every day, because I was sitting next to the math class representative, so I wouldn't ask him ......

Don't spend too much time, because it will be counterproductive, and you should allocate your time ...... with other subjects reasonably

Learn the method of high one function:

1. Master the knowledge points of the senior function.

2. The knowledge points taught by the teacher in class should not be let go, and when listening, you should think, take notes in class, and learn every step.

3. After learning a small section, you should do a good job of practicing and doing more practice questions for each section.

Knowledge points of the senior one function:

1. Mappings and Functions.

Second, the three elements of the function.

3. The nature of the function: monotonicity, parity, and periodicity of the function.

4. Graph transformation: function image transformation: It is important to master the images of common basic functions and the general rules of function image transformation.

5. Inverse functions.

6. Commonly used elementary functions:

1. Unary one-time function.

2. Unary quadratic functions.

From the question, we can know that 12-x 2+4x>0 get:

b=（-2，6）

The first question is to bring the data in.

2）．f(x)=ax^2-(a+3)x+b=ax^2-(a+3)x+3<0

Because a>0, a b

Then f(x)=

ax 2-(a+3)x+3=a(x+2)(x-6), i.e. a=(x-1) x+4

Since -2, the range of the solution at f(x)=ax 2-(a+3)x+b=0 is .

x1∈（1,2）x2∈（2，3）

then (1+3 a)=x1+x2, b a=x1*x2a=3 (x1+x2-1).

b=x1*x2

a-b=(1-x1*x2)a=3(1-x1*x2) (x1+x2-1).

x1*x2∈(2,6)

x1+x2∈(3,5)

then (a-b) (15 4, -3 2).

First of all, we should briefly review the various properties of functions (monotonicity, maximum and minimum values, periodicity, parity, etc.), and then review various elementary functions (quadratic functions, exponential functions, logarithmic functions, power functions, etc., focusing on mastering the properties of quadratic functions, because the properties of quadratic functions are often used, especially the distribution of its roots must be mastered), and then we should review the zero point theorem and the derivative of functions, the derivative function is a very important tool to solve functional problems, We must master how to find its monotonicity and the most value, and finally enter the actual combat, and constantly summarize a variety of different function question types and their solutions in the actual combat, about this it is best to do the questions about the function in the college entrance examination questions in previous years, and if possible, you can also do the college entrance examination questions in other provinces. According to my own summary and the college entrance examination questions of each year, the question preparation type of the function in high school is generally placed in the penultimate or third major question, and the difficulty is generally not very large, and if it is placed in the last question, the difficulty will increase. Generally speaking, there are three main types of function questions, the first of which is generally to find the monotonic interval of the function (note:

First of all, it is necessary to define the domain (generally direct derivation is sufficient), which is the first principle of doing function questions, otherwise you are very prone to make mistakes! The second question might be to find the extreme or the maximum, or to find the range of a certain parameter (pay attention to the use of numbers and shapes to discuss the use of the idea of classification). The third question is generally a proof inequality, which is generally a constant proof problem (Method:

Function method or variable separation method, specific problems are analyzed on a case-by-case basis), of course, the second and third questions may be reversed! In short, the function is the main line that runs through the whole high school, and it occupies a very important position, so you must master it! Finally, I would like to emphasize that the mind must be flexible in doing the question type here, and it is necessary to analyze it according to the specific problem, and it is best to accumulate and summarize the question types in this aspect!

Well, that's all for now, I hope it helps you! I wish you success in the college entrance examination!

The biggest difference between senior one mathematics and junior high school mathematics is that there are many concepts and are more abstract, and the "taste" of learning is very different from before, and the method of solving problems usually comes from the concepts themselves. When learning concepts, it is not enough to know the literal meaning of the concept, but also to understand the deeper meaning it implies and master the various equivalent expressions. For example, why is the image of the function y=f(x) and y=f-1(x) symmetrical with respect to the straight line y x, while y=f(x) and x=f-1(y) have the same image? Another example is why when f(x l) f(1-x), the image of the function y=f(x) is symmetrical with respect to the y axis, while the image of y f(x l) and y f(1-x) is symmetrical with respect to the straight line x 1, and the difference between the symmetry of one image and the symmetry of two images is not fully understood, and the two are easily confused.

1. Pay attention to listening and lectures in class, and review in time after class.

2. Do more questions appropriately and develop good problem-solving habits.

3. Adjust your mentality and treat the exam correctly.

Here's how I came over, the function depends on doing, there are only a few types of questions, and if you do more, you will naturally become familiar with it, and then you can work around it yourself, and if you write well, you will see the answer, and then you will think for yourself, and most of the foundation of mathematics is made.

4 points are summarized: summarize more, practice more, think more, and correct mistakes more.

1. There are different methods for high school functions, which are highly skillful, such as different methods can be used for choice and big questions, but I think that as long as you can draw your own conclusions and methods from the practice questions, this piece of knowledge will be almost thoroughly understood, and quantitative change can change qualitatively, you can learn well if you want to do the question, but it is useless to do more of the same question type, don't be willing to solve the problem first, take your time, don't be discouraged if you don't do it, you must not be impetuous!

2. If you encounter a typical question type, prepare a good question book, copy the original question, do it again after reading the analysis, do it again after a few days, consolidate more, you will overcome the problem, don't do it in a hurry, think about it for 5 minutes or can't do it, it means that your thinking is wrong, 10 minutes or can't do it, don't do it, ask the teacher, one-to-one effect is the best.

3. When you encounter a problem, don't stop with your hands, walk with your brain, start from the known conditions, write down his nature, and you will make it unconsciously.

Our teacher said that knowledge is not taught by the teacher, but learned by oneself. Finally, I wish you progress in your studies!!