Research on the main numbers, formulas, equations and functions in algebra: the operation of rational numbers and irrational numbers, and the formula contains algebraic expression fractions; Equations mainly study linear equations of one variable, linear equations of two variables and quadratic equations of one variable; Function mainly studies the inverse proportional function of linear function and quadratic function; It is characterized by many concepts, each of which needs to be studied and understood. Function is the key and difficult point, and this part is linked with function learning in senior high school.

Geometry: parallel lines, triangles, quadrangles and circles, the difficulty increases step by step, among which the application of the properties of circles is more difficult, and geometric proof is a compulsory question in the senior high school entrance examination, but it is less in plane geometry in senior high school. However, the geometry certificate may be very important for students' logical thinking.

Probability statistics: as we all know, this is very basic in junior high school, and it is almost a sub-topic in the senior high school entrance examination;

High school mathematics: function, vector, analytic geometry, solid geometry, trigonometry, sequence, probability statistics, etc.

The branches of senior high school mathematics are refined, and the amount of knowledge is obviously increased. Take the content of function as an example, including the definition of function, basic elementary function (exponential function, logarithmic function, power function, trigonometric function, etc. ), image changes (translation and folding, etc. ) and the derivative (proof) of functions are very abstract to learn, so students are not used to learning, and it is often difficult to do it after listening to class assignments. In addition, the connection between knowledge points is very close, and there is no absolute boundary. It is very common to examine multiple knowledge points at the same time in one topic. If students have loopholes in any knowledge point, it may lead to mistakes in the topic. In addition, the types of questions vary greatly. Even for the content of a function, there are countless ways to examine it. This is a difficult point in high school mathematics, with a wide range of knowledge, many problems and great difficulty.