1. The purpose of the examination is to examine the candidates' basic mathematical knowledge and basic thinking methods, and to examine the candidates' logical thinking ability, mathematical operation ability, spatial imagination ability and the ability to analyze and solve problems by using the mastered mathematical knowledge and methods.

Second, the examination structure 1, the number of questions and the type of questions have 25 questions, and the examination time is 45 minutes. The examination paper contains five parts: arithmetic, algebra, geometry, unary calculus and linear algebra. Among them, the first three parts account for 60% and the last two parts account for 40%, all of which are multiple-choice questions.

2. The difficulty of the test questions is divided into three levels: easy, average and difficult. Among the test questions, the proportion of easy questions, general questions and difficult questions is about 2: 2: 1.

3. Scoring standard of test questions The full score of this part of the test questions is 100, with 4 points for each question. Candidates must choose 1 correct answers from the four alternative answers listed in each test question, and multiple choices, no choices or wrong choices will not be scored; The selected answers are all A or B, C and D, which are considered as invalid papers.

3. The propositional scope of the basic mathematical ability test mainly includes the basic knowledge of arithmetic, algebra, geometry, unary calculus and linear algebra, and its application in daily life, scientific research and practical work. Candidates are required to have a profound and rational understanding of the listed mathematical knowledge; Systematically grasp the internal relationship between these mathematical knowledge; Solve related problems by giving examples, explaining, analyzing and inferring; Use relevant knowledge and methods to analyze and solve complex or comprehensive problems.

1. Knowledge requirements for the basic ability test of mathematics The knowledge involved in the basic ability test of mathematics includes: arithmetic, algebra, geometry, unary calculus and linear algebra.

The concept, properties, four operations and applications of (1) arithmetic number.

(2) Transformation and calculation of algebraic equality and inequality. Including real numbers and complex numbers; Multiplier and prescription; Algebraic operation and factorization; Solutions of equations and inequalities; Mathematical induction, sequence; Binomial theorem, permutation, combination; Basic knowledge of probability and statistics.

(3) Calculation and application of angles, perimeters and areas of geometric triangles, quadrilaterals, circles and polygons; Calculation and application of surface area and volume of various standard three-dimensional figures such as cuboid, cube and cylinder; Trigonometry; And knowledge of analytic geometry.

(4) One-dimensional calculus ① function and its graphics: set, mapping, function and function application. ② Limit and continuity: the limit of sequence, the algorithm of limit, two criteria for the existence of limit and two important limits, continuous function, infinitesimal and infinitesimal. ③ Derivative and differential: derivative, differential, derivative rule and basic derivative formula, higher derivative. ④ Application of differential mean value theorem and derivative: application of mean value theorem and derivative. ⑤ Integral: indefinite integral, definite integral, Newton-Leibniz formula, calculation of indefinite integral and definite integral, and simple application of definite integral.

(5) Linear Algebra ① Matrix: the concept of matrix, the operation of matrix, the inverse matrix of matrix and the elementary transformation of matrix. ② Vector: N-dimensional vector, the linear correlation of vector group has nothing to do with linearity, and the rank of vector group is the rank of matrix. ③ Linear equations: Cramer's rule of linear equations, discrimination rule of solutions of linear equations, solutions of homogeneous and nonhomogeneous linear equations. ④ Eigenvalue problem: the concepts of eigenvalues and eigenvectors, the calculation of similarity matrix, eigenvalues and eigenvectors, and the conditions and methods of transforming N-order matrix into diagonal matrix.

2. Ability requirements for basic mathematics ability test.

(1) logical reasoning ability to observe, compare, analyze, synthesize, abstract and summarize mathematical problems; Inference can be made by deduction, induction and analogy.

(2) Mathematical operation ability, according to mathematical concepts, formulas, principles and rules, to correctly operate and deform numbers, formulas and equations; Through the analysis of the known conditions, a reasonable and simple operation mode is sought and designed.

(3) The ability of spatial imagination draws correct figures according to the geometric conditions of mathematical problems, and imagines geometric relations according to the figures; Graphics can be decomposed, combined and deformed.

(4) Comprehensive thinking ability to understand and analyze problems expressed in mathematical language; Comprehensive application of mathematical knowledge and thinking methods to solve the problems raised.