1. Algebraic equations and inequalities: These topics mainly involve the solution, deformation and proof of algebraic equations and inequalities of one or more variables. Such as solving quadratic equation, fractional equation, absolute value equations, etc.
2. Geometry and space geometry: These topics mainly involve the knowledge of plane geometry and solid geometry, such as the properties of triangles, quadrilaterals, circles, similarity and congruence, pythagorean theorem, parallel lines and vertical lines, etc. Solid geometry includes the calculation of the shape, volume and surface area of cuboid, cube, cylinder, cone and sphere.
3. Function and image: These topics mainly involve the basic properties of linear function, quadratic function, exponential function, logarithmic function, trigonometric function, image transformation and maximum value of function.
4. Probability statistics: such topics mainly involve concepts such as probability calculation, event probability, conditional probability and independent event; Statistics include the drawing and analysis of frequency distribution table, histogram and line chart.
5. Logical reasoning and proof: These topics mainly involve mathematical induction, reduction to absurdity, hypothesis and other proof methods, as well as the cultivation of logical reasoning ability.
6. Combination and permutation: This kind of topic mainly involves the concept, formula and application of permutation and combination, such as shaking hands and grouping.
7. Number theory: These topics mainly involve the concepts of prime number, composite number, greatest common divisor and least common multiple, and the application of some number theory theorems.
8. Application problems: These problems mainly involve real life problems, which need to be analyzed and solved by using mathematical knowledge, such as interest calculation, the relationship between speed and time, etc.
In a word, the topic of junior high school mathematics competition covers all the knowledge points of junior high school mathematics, aiming at cultivating students' mathematical thinking ability, logical reasoning ability and problem-solving ability.