Set and simple logic
First, the basic concept of set
Second, the basic relationship between sets
Third, the operation of the set.
Simple logic in the second quarter
First, logical connectives
Second, the proposition
Third, the attribute between the conditions of proposition and conclusion.
function
Section 1 Functional Concepts)
First, the definition of function
Second, the basic properties of the function
Third, inverse function and composite function
Section 2 Basic Elementary Functions
Exponential function and logarithmic function
Second, the power function.
The third quarter trigonometric function
First, popularize the concepts of angle and arc system.
Second, the trigonometric function of any angle
Third, the basic relationship and inductive formula of trigonometric function with the same angle)
Four. Images and properties of sine function, cosine function and tangent function
Verb (abbreviation of verb) Image and properties of function y=Asin(ωx+φ)
Six, sum, difference, times, half angle formula
Seven, sine and cosine theorem
Inequalities, sequences and limits
The first section inequality
First, the nature of inequality.
Second, the solution of inequality
Third, the proof of inequality
Section 2 sequence of numbers
I. arithmetic progression and geometric series
Second, the linear recursive sequence
Section 3 restrictions
First, the limit of the sequence
Second, the limit of the function
solid geometry
Section 1 Straight lines and planes
First, a straight line
Second, the positional relationship between straight line and plane
Third, the positional relationship between planes.
Fourth, spatial distance.
Simple geometry in the second quarter
I. Prisms and pyramids
Second, the cylinder and cone
Third, the ball
Fourthly, polyhedron.
Analytic geometry
The first section straight line sum equation
First, the linear equation
Second, the positional relationship between two straight lines
Third, points and straight lines
The second section circle sum equation
A, the equation of the circle
Second, the positional relationship between a straight line and a circle
Section 3 conic curve
First, the concept, standard equation and geometric properties of conic section.
Second, the positional relationship between straight line and conic curve
The fourth quarter polar coordinates
I. Polar coordinate system
Second, the reciprocity of rectangular coordinates and polar coordinates
Third, the polar coordinate equation of the curve
Vector and complex number
Pay attention to the test site
Test site prediction
knowledge frame
The first part vector
First, the plane vector
Second, the space vector
Section 2 Complex Numbers
First, the concept of complex number
Second, the operation of complex numbers
Third, the geometric meaning of complex numbers
Reasoning proof and permutation and combination
Section 1 Reasoning and Proof
I. Basic definitions
Second, the inequality proof method
Thirdly, mathematical induction.
Section 2 permutation, combination and binomial theorem
I. Two Basic Principles
Second, the arrangement
Third, the combination
Fourthly, the synthesis of permutation and combination.
Five, binomial theorem
Chapter VIII Statistics and Probability
Section 1 Statistics
I. Sampling
Second, the linear correlation between the two variables.
Third, normal distribution.
Probability in the second quarter
First, the probability of random events
Second, discrete random variables
Chapter IX Advanced Mathematics
The first section sequence limit and function limit
First, the definition of limit
Second, the basic nature of limit and two important limits
Third, the method of finding the limit
Continuous function in the second quarter
I. The concept of continuity
Second, the judgment of function continuity
Third, the discontinuity point of the function
Fourthly, the properties of continuous functions.
Derivative and differential in the third quarter
First of all, the concept of derivative
Second, the application of derivatives
Third, differentiation.
The fourth quarter integral
First, indefinite integral
Second, definite integral
Section 5 Spatial Analytic Geometry
I. Spatial Cartesian coordinate system
Second, the plane equation and the straight line equation
Third, the relationship between plane and straight line and the distance formula
Four, surface and curve equation
Section 6 Determinant
I. Definition of determinant
Second, the nature of determinant
Third, the calculation of determinant
Four, Cramer's law
Section 7 linear equations
First, the vector group
Second, linear equations.
Section 8 Matrix and Transformation
I. The concept of matrix
Second, the operation of matrix
Thirdly, elementary transformation of matrix.
Fourth, understanding linear equations from multiple angles
20 14 test questions conjecture
The second part is the content of primary school mathematics curriculum.
Chapter 1 Numbers and Algebra
Section 1 Understanding and Operation of Numbers
I. Integers
Second, decimals
Three. Fractions and percentages
Fourth, the divisibility of numbers.
Verb (abbreviation for verb) Elementary arithmetic of integers, decimals and fractions
The ratio and proportion of intransitive verbs
Common quantities in the second quarter
I. Quantity types
Second, commonly used units
Third, the unit table
Fourth, the conversion between units
Five, commonly used calculation formula table
The third section and equation
I. Algebraic expressions
Second, simple equations.
Section 4 Sense of Numbers and Symbols
First, the sense of number
Second, how to cultivate students' sense of symbol
20 14 test questions conjecture
Chapter II Graphics and Geometry
The first node, line and surface
First, the basic concepts of point, line and surface
Second, the basic properties of straight lines
Special plane graphics in the second quarter
I. Triangle
Second, other polygons
Section 3 Translation, Rotation and Symmetry
I. Axisymmetric and Axisymmetric Figures
Second, the central symmetry and central symmetry graphics
Third, the translation and rotation of graphics.
Chapter III Statistics and Probability
Section 1 Statistics (157)
I. Statistical methods
Second, the characteristics of statistical data
Probability in the second quarter
I. Events
Second, the probability of the event
Third, the calculation method of probability
Chapter IV Application Problems
Section 1 engineering problems
I. Basic concepts
Second, the engineering problem of two people.
Third, many people's engineering problems.
Fourth, the water pipe problem.
Section 2 Travel Issues
I. Basic concepts
Second, the problem of running water.
Third, the issue of the meeting.
Section 3 Application of Fractions and Percentages
Section 4 Application of Geometric Shape
Section 5 Solving Application Problems with Equations
The third part is the elementary school mathematics curriculum and teaching theory.
The first chapter is the study of primary school mathematics curriculum and teaching materials.
The first primary school mathematics course
I. Basic concepts
Second, the design ideas
Third, the curriculum objectives
Section 2 Research on Teaching Methods of Primary School Mathematics Textbooks
First, the knowledge part of the textbook.
Second, the theoretical part.
Section 3 Hot spot analysis
First, China's primary school mathematics education reform and development
Second, the practice and development of double-base teaching of mathematics in primary schools in China
Third, the international vision of primary school mathematics education
Fourth, the main theories of foreign mathematics education
Five, 265438+the reform of primary school mathematics curriculum in China in the early 20th century.
Sixth, primary school math teachers.
Seven, the problems worthy of attention in primary school mathematics education.
Chapter II Mathematics Teaching Design and Case Analysis
The first part is an overview of primary school mathematics teaching design.
First, the connotation of mathematics teaching design
Second, the significance of mathematics teaching design
Section 2 Basic Contents of Mathematics Teaching Design in Primary Schools
I. teaching material analysis
Second, the analysis of learning situation
Third, the formulation of teaching objectives
Fourth, the choice of teaching methods.
Verb (abbreviation of verb) the use of teaching media
Sixth, the analysis of teaching implementation process.
Seven, teaching reflection
Eight, the writing of instructional design
Section 3 Case Analysis of Mathematics Teaching
First, the case study of situational import
Second, classroom teaching case analysis
Chapter III Mathematics Teaching Evaluation
Section 1 Overview of Evaluation
First, the function of mathematics education evaluation
Second, the types of mathematics education evaluation
Section 2 Evaluation of Mathematics Classroom Teaching
First, the evaluation elements of mathematics classroom teaching
Second, mathematics classroom teaching evaluation methods
Section 3 Evaluation of Students' Mathematics Learning
First, an overview of mathematics learning evaluation
Second, the evaluation method of mathematics learning
If in doubt, please consult the public education enterprises in China.