Junior high school mathematics content:

Algebra section:

1, rational number, irrational number, real number.

2. Algebraic expressions, fractions and quadratic roots.

3. One-dimensional linear equations, one-dimensional quadratic equations, two-dimensional (three-dimensional) linear equations, two-dimensional quadratic equations, fractional equations and one-dimensional linear inequalities.

4. Functions (linear function, quadratic function, inverse proportional function).

5. Preliminary statistics.

Geometric parts:

1, line segment, angle.

2. Intersecting lines and parallel lines.

3. Triangle.

4. Quadrilateral.

5, similar.

6, round.

Senior high school mathematics is a subject for senior high school students in China.

Including set and function, trigonometric function, inequality, sequence, complex number, permutation, combination, binomial theorem, solid geometry, plane analytic geometry and so on.

High school mathematics knowledge framework;

Compulsory one, mainly studied the set, including the meaning and representation of the set, the basic relationship of the set and the basic operation of the set; In the remaining chapters, I learned several important basic elementary functions.

The second compulsory course, I learned the elementary of solid geometry: including the three views of simple geometry and simple polyhedron, and the positional relationship of spatial graphics. The volume and surface area of some regular space geometry, the second chapter introduces the properties of circles and straight lines in the form of combination of numbers and shapes, and science students learn the spatial rectangular coordinate system in depth.

In the compulsory three parts, I learned simple probability theory and mathematical statistics. And the algorithm is studied preliminarily.

At the beginning of compulsory four, I learned another basic elementary function-trigonometric function. Senior high school mainly studies the properties of sine, cosine and tangent trigonometric functions and their relationships. Including trigonometric function limit, arc system, inductive formula and so on. The second chapter studies the mathematical tools of plane vectors. This chapter studies the representation, modularity and unitization of vectors, the product of quantities and simple applications. In chapter 3, the half-angle formula, sum angle formula, difference angle formula and double angle formula of trigonometric function are deeply studied. After further extension, I learned the formula of reducing power.

The first chapter of compulsory five mainly talks about the properties of arithmetic and geometric series, the operation of general formula and the sum of the first n terms. The second chapter belongs to the content of plane analytic geometry, mainly introducing sine and cosine theorems. The third chapter mainly studies the properties and concepts of inequalities and the preliminary LP problem (graphic solution).

Elective course 2- 1 Chapter 1 is a common logical term, which mainly focuses on sufficient conditions, necessary conditions and logical quantifiers such as "or, and, not". The second chapter further talks about spatial analytic geometry and vector algebra, so that science students can learn more about dihedral angle theorem. The third chapter introduces the related knowledge of conic curve, including the definition, properties and images of ellipse, hyperbola and parabola.

Elective 2-2: Chapter 1 Reasoning and Proof: Introduction to inductive reasoning and analogical reasoning, synthesis, analysis, reduction to absurdity and induction. The second and third chapters are about the properties and applications of derivatives. The fourth chapter introduces the properties and applications of simple calculus (the area of curve trapezoid and the volume of simple geometry); The fifth chapter introduces the extension of number system. This paper mainly introduces the representation, properties and operations of complex numbers.

Elective 2-3: Mainly for science students. The first chapter is permutation and combination, which mainly studies the principle of science and technology, permutation and combination and binomial theorem. The second chapter introduces binomial distribution, normal distribution and other common probability distributions, and the third chapter introduces independence test and simple linear regression analysis.