Senior one had compulsory one and compulsory four last semester. The main content of compulsory one is set and function, and compulsory four is trigonometric function and vector. But some places are compulsory one and compulsory two. The main contents of compulsory two are solid geometry and simple analytic geometry. For example, the linear equation of junior middle school, the equation of garden and some of their natural relationships.

Senior one must learn a compulsory course last semester, and the chapter of function must be learned well. It includes the concept, images and properties of functions and some basic functions, such as quadratic function, exponential function, logarithmic function and power function.

The content of compulsory three is relatively simple, including "Preliminary Statistics", "Algorithm" and "Probability". In addition to the algorithm, we have been exposed to other contents in junior high school.

Senior two must learn compulsory five, the main contents are "sequence" and "inequality" For analytic geometry in our senior one, we have to learn "conic curve" in our senior two. Of course, functions and derivatives, parametric equations and polar coordinates should also be the contents of Grade Two. Some contents of the selected courses are different in different places.

What are the knowledge points that must be memorized in senior one mathematics?

Chapter 1: The concepts of set and function.

I. Collection of related concepts

The meaning of 1. set

2. Three characteristics of elements in a set:

(1) elements, such as mountains in the world.

(2) The mutual anisotropy of elements, such as the set of happy letters {H, a, p, Y}.

(3) The disorder of elements: for example, {a, b, c} and {a, c, b} represent the same set.

3. Representation of assembly: {…} For example, {basketball players in our school}, {Pacific Ocean, Atlantic Ocean, Indian Ocean, Arctic Ocean}

(1) The set is expressed in Latin letters: A={ basketball players in our school}, B={ 1, 2, 3, 4, 5}.

(2) Representation of sets: enumeration and description.

Note: Common number sets and their expressions: XKb 1. Com

The set of nonnegative integers (i.e. natural number set) is recorded as n.

Positive integer set: N* or N+

Integer set: z

Rational number set: q

Real number set: r

1) enumeration: {A, b, C...}

2) Description: describes the common attributes of the elements in the set, and is written in braces to indicate the set {x? r | x-3 & gt； 2}，{ x | x-3 & gt； 2}

3) Language description: Example: {A triangle that is not a right triangle}

4) Venn diagram:

4, the classification of the set:

The (1) finite set contains a set of finite elements.

(2) An infinite set contains an infinite set of elements.

(3) An example of an empty set without any elements: {x | x2 =-5}