First, the nature of the examination.

Jiangxi Vocational College of Applied Technology's independent entrance examination is a selective examination for graduates of ordinary senior high schools and secondary vocational schools and social workers with the same academic level who meet the registration requirements for the entrance examination of ordinary colleges and universities in 2022.

Second, the examination form and the question type and structure of the examination paper

1. This test is a closed-book written test, and the test time is 50 minutes, with a full score of 100.

2. The test paper structure includes four types: multiple-choice questions, multiple-choice questions, fill-in-the-blank questions and solution questions. There are four questions (6 points for each question), three questions (6 points for each question), three questions (6 points for each question) and two questions (***40 points), and * * counts as 12 questions, with a total score of 100 points.

3. The test questions cover the main content of the proposition scope as far as possible, keep the stability of the difficulty, focus on examining students' observation, analysis and comprehensive thinking ability, require clear and accurate expression of the operation process, correctly use mathematical knowledge for operation, reasoning and spatial imagination, and skillfully solve the mathematical problems within the scope of this test. Among them, the distribution ratio of algebra, solid geometry and analytic geometry is about 7: 1:2. The proposition is closely related to the basic requirements of the syllabus, not limited to the problems in the textbook, and is conducive to the follow-up teaching and talent selection.

4. The difficulty ratio of the test questions. Easy questions account for about 50%, moderately difficult questions account for about 40%, and difficult questions account for about 10%.

5. No textbooks are specified in this exam.

Third, the examination content and requirements

This exam follows the general college entrance examination outline issued by the Ministry of Education and the spirit of the college entrance examination outline for students from three schools in Jiangxi Province. This paper mainly examines students' mastery of basic mathematics knowledge, basic operation and some basic skills when they enter higher vocational colleges for further study, and examines students' most basic mathematical application ability.

The corresponding examination contents and requirements are as follows:

1, set and logical terms

Content: the representation of sets, the relationship between sets and logical terms.

Requirements: master the expression of the relationship between elements and sets, understand sets, empty sets and subsets, understand the equality and inclusion of sets, master the operations of intersection, union and complement, understand the meaning of union, or non-union, understand the meaning of propositions, master the judgment of compound propositions (true and false), and understand the sufficient conditions, necessary conditions and necessary and sufficient conditions.

Emphasis: the operation of set and the judgment of proposition.

2. Inequality

Content: the nature of inequality and the solution of inequality.

Requirements: master the method of comparing simple algebraic values with real numbers and understand the basic properties of inequalities; Master the solution of linear inequality (group), quadratic inequality and absolute inequality; Understand the solution of simple fractional inequality.

Focus: the solution of inequality

3. Function

Content: related concepts of function and expression methods of function; The properties of functions, unary quadratic functions.

Requirements: Understand the concept of function, master the representation of function, find the value and domain of function, understand the judgment of monotonicity and parity of function, understand the definition and image relationship of inverse function, master the properties and images of linear function and quadratic function, and master the solutions of linear function and quadratic decomposition function.

Emphasis: the solution of function definition domain, function value, linear function and quadratic resolution function.

4. Exponential function and logarithmic function

Content: Exponential function and logarithmic function.

Requirements: Understand the concept of power, master the operation of positive integer power and fractional exponential power, the operation rules of logarithm and logarithm, understand the meaning of exponential function and logarithmic function, and master the images and properties of exponential function and logarithmic function.

Key points: the operation of exponent and logarithm, the definitions, images and properties of exponent function and logarithm function.

5. Trigonometric function at any angle

(1) trigonometric function of arbitrary angle

Content: the concept of arbitrary angle and arc system; Definition of trigonometric function with arbitrary angle.

Requirements: Understand the concepts of arbitrary angle and quadrant angle; Understand the definition and symbol of trigonometric function at any angle; Master the conversion between angle and radian; Can determine the trigonometric function value according to the definition; Master the trigonometric function value of special angle.

Key points: quadrant angle; According to the definition, find the trigonometric function value of any angle; Trigonometric function value of special angle; Symbol of trigonometric function.

(2) The basic formula of trigonometric function

Content: The basic relationship, inductive formula, sine, cosine and tangent formula of trigonometric function.

Requirements: Master the basic formula of trigonometric function and the operation of trigonometric function with special angle, and master the identity deformation of simple formulas of trigonometric functions.

Key points: the basic relationship of trigonometric functions with the same angle; Inductive formula; Application of double angle formula.

(3) Images and properties of trigonometric functions

Content: The images and properties of sine function and cosine function, and the concept and images of sine function y=A sin(ωx+φ).

Requirements: Understand the concepts, properties and images of sine function, cosine function and sine function; Master the maximum, minimum and period of sine function.

Emphasis: the solution of maximum, minimum and period.

(4) Solving triangles

Content; Sine theorem, cosine theorem, triangle area formula

Requirements: master sine theorem, cosine theorem and area formula of triangle.

Emphasis: Simple application of sine theorem and cosine theorem.

6. Plane vector

Content: the concept and representation of vector, the addition and subtraction of vector, the multiplication of vector, the rectangular coordinate representation of vector and its operation, the midpoint of line segment and the distance formula between two points.

Requirements: Understand the concept of vector, grasp the geometric representation of vector and its linear operation rules, understand the coordinate and its operation of vector, master the coordinate form and linear operation formula of vector, master the definition and operation rules of vector quantity product, master the translation formula, midpoint formula, distance formula between two points and the judgment of vector * * * straight line and vertical.

Key points: vector coordinates and their operations, modulus, product of quantities, parallelism, verticality, distance between two points, and midpoint coordinates of vectors.

7. Order

Content: The concepts of sequence, arithmetic progression and geometric progression.

Requirements: understand the concept and representation of sequence; Understand the general formula of sequence; Understand the concepts of arithmetic progression and geometric sequence; Master tolerance, common ratio and general term formula, middle term formula and first n sum formula.

Key points: tolerance, common ratio and general term formula, middle term formula, first n term summation formula.

8. Plane analytic geometry

(1) Equations of Lines and Circles

Content: the equation of a straight line, the positional relationship between two straight lines, the relationship between points and straight lines, the equation of circles, and the positional relationship between circles and straight lines.

Requirements: Understand the concepts of inclination angle, slope and intercept of straight line; Master the oblique, oblique and general formulas of linear equations, and understand the two-point and intercept formulas; Can find the parallel straight line and vertical line of the known straight line; Understand the distance formula from point to straight line, understand the standard equation of circle and the conditions of intersection, tangency and separation between circle and straight line; Can transform the general equation of a circle into a standard equation.

Key points: the inclination angle, slope and intersection point of the straight line, the equation of the straight line, the center, radius, tangent and standard equation of the circle are solved according to the conditions.

(2) Conic curve equation

Content: Definition, standard equation and properties of ellipse, hyperbola and parabola.

Requirements: Understand the definitions of ellipse, hyperbola and parabola; Understand their standard equations and properties; Master the solution of their focal coordinates, vertex coordinates and directrix equations.

Focus: the focus, vertex, major axis, minor axis, real axis, imaginary axis, focal length and eccentricity of a conic curve.

9, solid geometry

Content: the basic properties of plane, the relationship between spatial line, line surface and surface.

Requirements: Understand the positional relationship among points, lines and planes in space, master the basic properties of planes, master the positional relationship between lines and planes and between planes, understand the theorem of three perpendicular lines, and understand the calculation of spatial distances and angles of commonly used geometric bodies (cubes, cuboids and regular tetrahedrons).

Key points: the basic properties of plane, the positional relationship between straight line and straight line, straight line and plane, and plane and plane.

10, permutation and combination and binomial theorem

Content: permutation and combination and its simple application, binomial theorem

Requirements: Master the principles of classified counting and step-by-step counting, understand the concept of permutation and combination, master the calculation method and simple application of permutation and combination number, and master the properties of binomial theorem and binomial coefficient.

Emphasis: the calculation method of permutation number and combination number and its simple application, binomial theorem.

Remarks: If you have any questions, or your grades are average, you can contact us if you want to participate in the separate senior high school entrance examination training.