How do you learn math functions? Thank you for the main points below

Because the range of the straight line y=f(x) is between the straight line l1 and l2, the tangent point can only appear on the left side of the y-axis collapse (combined with the image), and the coordinates of the rock of the old imperial hengshi are less than zero. And (m,n) is the tangent coordinates, where m is the abscissa, so the abscissa m is less than zero, so m is not equal to 1.

Because the cosx of the denominator in the original question cannot be 0

Directly substituted for Burning, f( 1) 1 1 2) 1, f(2) 4 1 liquid hail 8) noisy sail 4 7, f(a) a 1 2a ).

Idol. x "Crack Wisdom = 4

Two. Wrong silver trail. Wrong. Right.

The formula is wrong, it should be 2 times on the left. Double angle formula.

Look at the imitation town map with a thick piece of stuffiness.

Choosing C is actually sin2x

So the period is 2 vulture 2=vulture.

And it's similar to sinx.

are all odd functions.

Functions are the key point in high school mathematics, and it is also a difficult point, the reason why it is difficult is because there is no clue to learn it, and when the teacher talks about functions, he does not listen carefully, resulting in not learning well at the beginning, and he can't keep up with it later, and there are various situations such as learning well at the beginning, and not learning well in the future, and so on.

All of this aside, from now on to seriously learn functions from now on, you need to start learning functions seriously:

The first step is to start all over again, seriously implement every knowledge point, you can consult your classmates and teachers, and if necessary, ask a tutor.

The second step does not need to be too fast, and after learning a short section, you should do a good job of practicing and grasp the method in practice.

The third step is to cultivate habits, interest is the best teacher, as long as you cultivate interest, there is no insurmountable difficulty in learning.

First of all, the concept of a function is understood. [The definition of function is: if there are two variables x and y in a certain change process, and for each definite value of x in a certain range, according to a certain correspondence law, y has a uniquely determined value corresponding to it, then y is called the function of x, x is called the independent variable, the value of y corresponding to the value of x is called the function value, and the set of function values is called the range of the function.

y is a function of x and can be denoted as y f(x) (f represents the law of correspondence). 】

Second, the function is mainly the range of values of the image and the independent variable.

The image is very determine, and there are two key points, namely: when x=0, y=**; x=**，y=0;

The range of independent variables is easy to determine, which is actually the concept of assessing it. For example, fractions: the denominator cannot be 0, otherwise it is meaningless; The range of values in the square root number must be greater than or equal to 0,..

1. In the normal order, we learn the equation first, and then the function. Laying a solid foundation of equations first, and then figuring out the relationship between equations and functions is conducive to a better understanding of functions. Roughly speaking, a functional relationship refers to a certain correspondence between two variables in a certain change process.

The equation is a contradictory unity composed of known and unknown quantities, and it is a bridge to explore the unknown from the known. Starting from the analysis of the quantitative relationship of the problem, grasping the function relationship or equiquantity relationship, using the mathematical language to reduce the function into the constraints of equations and unknown quantities, and then using the properties of functions or equation theory to solve the problem, this is the idea of functions and equations. For example, the equation for the function y=ax 2+bx is ax 2+bx=0

2. After having the knowledge base of equations, to learn mathematical functions, it is necessary to transition from unary to multivariate functions, and from explicit functions to implicit functions. Generally speaking, most of what we usually talk about are explicit functions, which involve unary, binary, and ternary functions.

3. It is recommended that you buy a suitable textbook and other related materials, understand more concepts, theorems, and appropriate amount of questions (including calculation questions and proof questions), in the process of doing the problem, you should pay attention to drawing, and effectively link the unary function with the straight line, the binary function and the hyperbola, circle, ellipse, parabola, etc., and pay special attention to the favorable conditions such as the focus, the axis of symmetry, the vertex, and the intersection point of the coordinate axis, and give full play to all kinds of imagination, so that in the process of learning the function, it will be like a drop in water Happy studying, dear.

Functions can't be separated from graphs, many problems in mathematics can't just rely on the meaning of the question and then the brain is there out of thin air, you have to draw a diagram by hand, usually do problems and listen to lectures to take notes, and do not ask for the amount of questions to understand every day. There are many types of questions.,It's a lot easier to understand each type.。。