First of all, the classification and nature of numbers
In mathematics, we divide numbers into natural numbers, integers, rational numbers, irrational numbers and real numbers. Among them, natural number refers to an integer starting from 1, integer is a set of natural number, 0 and negative integer, rational number is a number that can be expressed as the ratio of two integers, irrational number is a number that cannot be expressed as rational number, and real number is a set of rational number and irrational number.
In the operation of numbers, we need to master the basic operation rules such as addition, subtraction, multiplication and division, and at the same time we need to understand the properties of numbers, such as exchange law, association law, distribution law and so on. These properties are very common in operation and need to be mastered by us.
Second, algebraic expressions and polynomials
Algebraic expressions are expressions composed of numbers, letters and operational symbols, which can represent various relationships in mathematics. Polynomial is an algebraic expression formed by adding or subtracting several terms, and each term consists of the product of a constant and a letter.
In the operation of polynomials, we need to master the basic operation rules such as addition, subtraction, multiplication and division, as well as the operation methods such as factorization and collocation. These methods are very common in solving practical problems and need to be mastered by us.
Three. Equality and inequality
Equation is an equation composed of two algebraic expressions connected by an equal sign, which can be used to represent various mathematical relationships. Inequality is an inequality formed by connecting two algebraic expressions with an inequality sign, which can be used to express the relationship between sizes.
When solving equations and inequalities, we need to master the methods of shifting terms, merging similar terms, and fractional general division. And you need to understand the concepts of quadratic root and absolute value. These concepts and methods are very common in solving practical problems, and we need to master them skillfully.
Fourth, functions and images.
Function is a special relationship, which can be used to express the corresponding relationship between input and output. The image of a function is a curve drawn with the input and output of the function as abscissa and ordinate respectively.
When learning functions and images, we need to master the definition, properties, classification and drawing methods of function images. This knowledge is very common in solving practical problems and needs us to master it skillfully.
Verb (abbreviation of verb) trigonometric function
Trigonometric function takes angle as independent variable, sine, cosine and tangent as dependent variables. In trigonometric function, we need to master the measurement method of angle, the definition, nature and formula of trigonometric function and the drawing method of trigonometric function image.
This knowledge is very common in solving practical problems and needs us to master it skillfully.
Preliminary geometry of intransitive verbs
Geometry is the study of figures, spaces and their properties. In preliminary geometry, we need to master the basic concepts of geometry, the measurement of angle, the properties of plane graphics, the properties of space graphics and geometric transformation.
This knowledge is very common in solving practical problems and needs us to master it skillfully.
Seven. Preliminary statistics
Statistics is the study of data collection, collation, analysis and interpretation. In the preliminary statistics, it is necessary to master the methods of data collection, collation, analysis and interpretation, and understand the drawing and interpretation methods of statistical charts.
This knowledge is very common in solving practical problems and needs us to master it skillfully.