The knowledge points of numbers and algebra mainly include rational numbers, real numbers, algebras, algebras, fractions, linear equations of one variable, linear equations of two variables, linear inequalities of one variable, linear functions, inverse proportional functions and quadratic functions.

The knowledge points of geometry include line segments, angles, intersecting lines, parallel lines, triangles, quadrilaterals, similar shapes, circles and so on.

Extended data

Many mathematical objects, such as numbers, functions and geometry, reflect the internal structure of continuous operations or the relationships defined in them. Mathematics studies the properties of these structures, for example, number theory studies how integers are represented under arithmetic operations.

In addition, things with similar properties often occur in different structures, which makes it possible for a class of structures to describe their state through further abstraction and then axioms. What needs to be studied is to find out the structures that satisfy these axioms among all structures.

Therefore, we can learn abstract systems such as groups, rings and domains. These studies (structures defined by algebraic operations) can form the field of abstract algebra. Because abstract algebra has great universality, it can often be applied to some seemingly unrelated problems. For example, some problems of drawing rulers and rulers in ancient times were finally solved by Galois theory, which involved the theory of presence and group theory.

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