The content of junior high school mathematics competition

The contents of junior high school mathematics competition are as follows:

1. Algebra part: including rational numbers, irrational numbers, integers, algebraic expressions, factorization, equations and other concepts and operations.

2. Geometry: including the concepts and properties of line segments, angles, triangles, quadrilaterals, polygons and circles, and the application of Pythagorean theorem, parallel lines, verticality and other important theorems.

3. Elementary number theory: including concepts and operations such as prime number, composite number, prime factor decomposition and congruence equation.

4. Combinatorial mathematics: including combinatorial counting, combinatorial identities, combinatorial extremum, etc.

5. Plane geometry: including the concepts and properties of triangles, quadrangles and polygons, as well as the application of Pythagorean theorem, parallel lines, verticality and other important theorems.

6. Analytic geometry: including the concepts and properties of points, lines and surfaces, and the calculation methods of distance, angle and area.

7. Mathematical analysis: including the concepts and operations of limit, derivative and integral, and the application of analytical methods such as series and function sequence.

8. Probability statistics: including concepts and operations such as probability, statistical chart and central limit theorem, as well as the preliminary application of regression analysis and hypothesis testing.

Junior high school mathematics competition is difficult, which requires students to have a solid mathematical foundation and strong logical thinking ability. At the same time, we need to master some competition skills and problem-solving methods, such as construction, reduction to absurdity, scaling and so on.

Junior high school mathematics competition mainly examines students' following abilities:

1. Basic knowledge of mathematics: The junior high school mathematics competition mainly examines students' mastery of basic knowledge of mathematics, including concepts and operations such as integers, rational numbers, irrational numbers, equations and functions.

2. Logical thinking ability: junior high school mathematics competition requires students to have logical thinking ability, to reason and analyze according to the conditions given by the topic, and to find ways to solve problems.

3. Problem-solving ability: Junior high school math competition mainly examines students' problem-solving ability, including the ability to analyze problems and the ability to find solutions. Students need to be able to break down complex questions into several simple steps and answer them with what they have learned.

4. Spatial imagination: The geometry questions in junior high school mathematics competition require students to have a certain spatial imagination, understand the basic properties and characteristics of graphics, and be able to draw and measure simply.

5, innovative ability: junior high school mathematics competition requires students to have innovative ability, can flexibly use what they have learned to solve new problems and explore new mathematical phenomena.

6, psychological quality: junior high school mathematics competition to examine the psychological quality of students, students need to have the qualities of calm, calm, careful, patient, and can maintain a good attitude in the tense competition.