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.