Important knowledge points, formulas, theorems in each chapter of mathematics in the first and secon

The math formulas and knowledge points of the first year of high school are as follows:

First, the collection of related concepts.

1. The meaning of a set: Some specified objects are grouped together to become a set, and each object is called an element.

2. Three characteristics of the elements in the set:

the certainty of the elements; 2.the mutual anisogeneity of the elements; 3.disorder of the elements;

Description: 1) For a given set, the elements in the set are determined, and any object is or is not an element of the given set.

2) Any two elements in any given set are different objects, and only one element is counted when the same object is grouped into a set.

3) The elements in the set are equal and have no order, so to determine whether two sets are the same, you only need to compare whether their elements are the same, and you don't need to check whether the order of the arrangement is the same.

4) The three characteristics of the aggregate element group make the set itself deterministic and holistic.

3. Representation of the set: such as,; The set is represented in the Latin alphabet: a=, b=; Representation of sets: enumeration and description.

Note: Commonly used number sets and their notation:

The set of non-negative integers (i.e., the set of natural numbers) is denoted as: n.

Set of positive integers n* or n+ set of integers z set of rational numbers q set of real numbers r.

Second, the basic relationship between sets"Yes"Relationship—Subset.

Note: There are two possibilities: (1) A is part of B; (2) A and B are the same set. Cluster wheels.

Conversely: Set A does not contain Set B, or Set B does not contain Set A, denoted as AB or BA. "Equal"Relation (5 5, and 5 5, then 5 = 5).

Example: Set a= b="element"。

Conclusion: For two sets A and B, if any element of set A is an element of set B, and at the same time, any element of set B is an element of Set A, we say that set A is equal to set B, i.e., A=B.

Mathematics formulas and knowledge points in the first year of high school:The value range of the function is taken from the definition domain and the corresponding law, no matter what method is used to find the function value range, the definition domain should be considered first, and the method of finding the function value range is as follows

1) Direct method: also known as observation method, for the simple structure of Western Numbers, the properties of inequality can be applied to the analytic formula of Western Numbers, and the value range of the function can be directly observed.

2) Commutation method: use algebraic or trigonometric commutation to convert the given complex western number into another simple function and then evaluate the range, if the analytic formula of the function contains the radical, when the radical is a one-time expression, use the algebraic commutation, when the radical is a quadratic formula, use the trigonometric commutation.