The meaning and representation of a set.

(1) Understand the meaning of set and the "subordinate" relationship between elements and set.

(2) Natural language, graphic language and set language (enumeration or description) can be used to describe different specific problems.

2. The basic relationship between sets

(1) Understanding the meaning of inclusion and equality between sets can identify subsets of a given set.

(2) Understand the meaning of complete works and empty sets in specific situations.

3. Basic operations of sets

(1) To understand the meaning of union and intersection of two sets, we need union and intersection of two simple sets.

(2) Knowing the meaning of the complement set of a subset in a given set will lead to the complement set of a given subset.

(3) The relation and operation between two simple sets can be expressed by venn diagram.

(2) Function concept and basic elementary function I (exponential function, logarithmic function, power function)

1. function

(1) Knowing the elements that make up a function, we can find the domain and value of some simple functions; Understand the concept of mapping.

(2) In actual situations, appropriate methods (such as image method, list method and analytical method) will be selected to represent functions according to different needs.

(3) Understand the simple piecewise function and apply it simply.

(4) Understand the monotonicity, maximum (minimum) value and geometric significance of the function; Combined with specific functions, understand the meaning of function parity.

(5) Will use the image of the function to understand and study the nature of the function.

2. Exponential function

(1) Understand the actual background of the exponential function model.

(2) Understand the meaning of rational exponential power, understand the meaning of real exponential power, and master the operation of power.

(3) Understand the concept and monotonicity of exponential function, and master the special points of exponential function images.

(4) Know that exponential function is an important function model.

3. Logarithmic function

(1) Understand the concept of logarithms and their operational properties, and know how to convert general logarithms into natural logarithms or ordinary logarithms by changing the radix formula; Understand the role of logarithm in simplifying operation.

(2) Understand the concept of logarithmic function and its monotonicity, and master the special points of logarithmic function images.

(3) Know that logarithmic function is an important function model.

(4) Understand exponential function (sum) and logarithmic function (A >；; 0 and a 1) are reciprocal functions.

4. Power function

(1) Understand the concept of power function.

(2) Understanding their changes by combining the images of functions,

5. Functions and equations

(1) Combined with the image of quadratic function, understand the relationship between the zero point of function and the roots of equation, and judge the existence and number of roots of quadratic equation in one variable.

(2) According to the image of the specific function, the approximate solution of the corresponding equation is obtained by dichotomy.

6. Function model and its application

(1) Understand the growth characteristics of exponential function, logarithmic function and power function, and know the significance of growth of different function types such as linear rise, exponential growth and logarithmic growth.

(2) Understand the wide application of function models (such as exponential function, logarithmic function, power function, piecewise function and other commonly used function models in social life).