Mandatory 1
The first chapter is the concept of set and function.
1. 1 set
The meaning and representation of the set 1. 1. 1
Basic relation between sets 1. 1.2
Basic operation of 1. 1.3 set
1.2 function and its representation
The concept of 1.2. 1 function
Representation of 1.2.2 function
Basic properties of 1.3 function
1.3. 1 monotonicity and maximum (minimum) value
1.3.2 parity
Chapter II Basic Elementary Functions (Ⅰ)
2. 1 exponential function
2. 1. 1 Exponential and Exponential Power Operation
2. 1.2 exponential function and its properties
2.2 Logarithmic function
2.2. 1 Logarithm and Logarithm Operation
2.2.2 Logarithmic function and its properties
2.3 power function
Chapter III Functional Application
3. 1 functions and equations
3. 1. 1 The roots of the equation and the zeros of the function
3. 1.2 Find the approximate solution of the equation by dichotomy
3.2 Functional model and its application
3.2. 1 Several different growth function models
3.2.2 Application example of functional model
compulsory 2
Chapter I Space Geometry
1. 1 spatial geometry
1. 1. 1 spatial geometry
Structural characteristics of simple combination 1. 1.2
1.2 Three Views and Straight Views of Space Geometry
1.2. 1 central projection and parallel projection
1.2.2 Three views of space geometry
1.2.3 intuitive space geometry
1.3 surface area and volume of space geometry
1.3. 1 Surface area and volume of cylinders, cones and platforms
1.3.2 volume and surface area of the ball
Chapter II Positional Relations of Points, Lines and Surfaces
2. 1 The positional relationship among points, lines and surfaces in space
2. 1. 1 plane
2. The positional relationship between straight lines in1.2 space
2. 1.3 The positional relationship between straight line and plane in space
2. The positional relationship between1.4 planes
2.2 Determination of parallelism between straight line and plane and its properties
2.2. 1 Determination of parallelism between straight line and plane
2.2.2 Determination of parallelism between planes
2.2.3 Parallelism of Lines and Planes
2.2.4 The property that the plane is parallel to the plane.
2.3 Determination and characteristics of vertical lines and planes
2.3. 1 Determination of straight line perpendicular to plane
2.3.2 Determination of the plane perpendicular to the plane
2.3.3 The property that a straight line is perpendicular to a plane.
2.3.4 the nature of the plane perpendicular to the plane
Chapter III Linear Sum Equation
3. 1 Angle and slope of straight line
3. 1. 1 dip angle and slope
3. 1.2 Determination of parallelism and verticality of two straight lines
3.2 linear equation
3.2. Oblique equation of1point line
3.2.2 Two-point linear equation
3.2.3 General equation of straight line
3.3 Formula for coordinates and distance of intersection points of straight lines
3.3. 1 Intersection coordinates of two straight lines
3.3.2 Distance between two points
3.3.3 Distance from point to straight line
3.3.4 Distance between two parallel lines
The fourth chapter circle sum equation
4. Equation of1circle
4. Standard equation of1.1circle
4. General equation of1.2 circle
4.2 The positional relationship between straight line and circle
4.2. 1 positional relationship between straight line and circle
4.2.2 positional relationship between circles
4.2.3 Application of Linear and Circular Equations
4.3 Spatial Cartesian Coordinate System
4.3. 1 space rectangular coordinate system
4.3.2 Distance formula between two points in space
Compulsory 3
The first chapter is the preliminary algorithm.
1. 1 algorithm and program block diagram
The concept of 1. 1. 1
1. 1.2 program block diagram and basic logic structure of the algorithm.
1.2 basic algorithm statement
1.2. 1 input/output assignment statement
1.2.2 conditional statement
1.2.3 loop statement
1.3 algorithm case
Chapter II Statistics
2. 1 random sampling
2. 1. 1 simple random sampling
2. 1.2 systematic sampling
2. 1.3 stratified sampling
2.2 Using samples to estimate the population
2.2. 1 Use the frequency distribution of samples to estimate the overall distribution.
2.2.2 Use the digital features of the sample to estimate the digital features of the population.
2.3 Correlation between variables
Chapter III Probability
3. 1 Probability of random events
3. 1. 1 Probability of random events
3. The meaning of1.2 probability
3. Basic Properties of1.3 Probability
3.2 Classical probability
3.2. 1 classical probability
3.2.2 Generation of integer-valued random numbers
3.3 Geometric probability
3.3. 1 geometric probability
3.3.2 Generation of Uniform Random Numbers
Required 4
The first chapter trigonometric function
1. 1 arbitrary angle and arc system
1. 1. 1 any angle
1. 1.2 arc system
1.2 arbitrary trigonometric function
1.2. 1 trigonometric function of any angle
The basic relation of 1.2.2 equidistant trigonometric functions
The inductive formula of 1.3 trigonometric function
Images and properties of 1.4 trigonometric function
1.4. 1 image of sine function and cosine function
1.4.2 Properties of Sine Function and Cosine Function
Images and properties of 1.4.3 tangent function
1.5 image of function y=Asin(ωx+φ)
Simple application of 1.6 trigonometric function model
Chapter II Plane Vector
2. The actual background and basic concepts of1plane vector
2. The actual background and concept of1.1vector
2. Geometric Representation of1.2 Vector
2. 1.3 equal vector and * * * line vector
2.2 Linear Operation of Plane Vector
2.2. 1 vector addition operation and its geometric significance
2.2.2 Vector subtraction operation and its geometric significance
2.2.3 Vector Multiplication and Its Geometric Significance
2.3 Basic Theorem and Coordinate Representation of Plane Vector
2.3. 1 plane vector fundamental theorem
2.3.2 Orthogonal decomposition and coordinate representation of plane vectors
2.3.3 Coordinate operation of plane vector
2.3.4 coordinate representation of plane vector * * * line
2.4 product of plane vectors
2.4. Physical background and significance of scalar product of1plane vector.
2.4.2 Coordinate representation, modulus and included angle of plane vector product.
2.5 examples of plane vector application
2.5. 1 vector method in plane geometry
2.5.2 Examples of vector application in physics
Chapter III Triangular Identity Transformation
3. 1 sine, cosine and tangent sum difference formula
The cosine formula of the angle difference is 3. 1. 1
3. 1.2 sine, cosine and tangent sum and difference formulas
3. Sine, cosine and tangent formulas of1.3 times angle
3.2 Simple trigonometric identity transformation