College English and College Chinese (Advanced Mathematics) are jointly tested in Ningxia.

The examination subjects of literature and history, foreign languages, medicine and art are: College English and College Chinese.

The examination subjects for science and engineering (excluding medicine) majors are: College English and Advanced Mathematics.

Full marks in all subjects 150 minutes, and examination time in all subjects 150 minutes. Ningxia Education Examinations Institute organizes the proposition, and the bibliography is "20 19 Notes on College Entrance Examination of Shaanxi General Higher Education".

Syllabus of Chinese subject examination in Ningxia University

First, the examination form

1. The exam takes the form of closed book and written test. The full mark of the test paper is 150, and the test time is 150 minutes.

2. Test papers are divided into volumes. Marking includes two parts: test questions and answer sheets. Students must write their answers on the answer sheet, and the answers written on the test questions are invalid.

II. The types, quantities and scores of test questions are as follows:

1. Multiple choice questions 20 questions 20 points

2. Fill in the blanks 12 12.

3. Explanation of words 12 12.

4. True or false 10 10.

5. Analysis of Question 4 and Question 36.

6. composition 1 60 mark

Third, the content of the test questions is roughly proportional.

1. Common knowledge of language and literature is about 36%.

2. Reading analysis is about 24%.

3. The composition is about 40%.

Ningxia unified college entrance examination English subject examination outline.

1. The exam is answered in a closed book. The full mark of the test paper is 150, and the test time is 150 minutes.

2. The test paper is divided into two parts: the test paper and the answer sheet. Candidates must write their answers on the answer sheet, and the written answers are invalid.

College English test has five parts.

I. Vocabulary and grammatical structure

There are ***40 small questions in this part, with a full score of 40, and vocabulary and grammar each account for about 50%. Ask candidates to choose the best answer from the four options given in each small question.

Second, reading comprehension This part includes four short articles.

There are 5 small questions ***20 small questions at the end of each article, with a full score of 50 points.

Crossword test

This part is a short essay of 200-300 words, including 20 spaces and 20 small questions, with a full score of 20. Fill in the blanks includes function words and content words.

Fourth, translation.

Translate English articles into Chinese. Students can refer to the context when translating, with a full score of 20. The translation speed is 300 words per hour.

Outline of Higher Mathematics Subjects for College Entrance Examination in Ningxia

I. Functions and limitations

1, the concept and representation of the function. Boundedness, monotonicity, periodicity and parity of functions. Inverse function, implicit function and composite function. Properties and graphs of basic elementary functions. Establishment of function relation in simple application of elementary function.

2. Definition and properties of sequence limit. The nature and figure of function limit, the comparison between left limit and right limit of function, finite and infinite. Four limit operations. Four limit operations. Pinch criterion and monotone bounded criterion of limit existence are two important limits.

3. The concept of continuity. Function discontinuity and its types, continuity of function sum, difference product and quotient, continuity of inverse function and composite function. Continuity of elementary function, properties of continuous function on closed interval (maximum theorem, minimum theorem, mean value theorem).

Examination requirements: understand the concept of function and master the representation of function. Understand the boundedness, monotonicity, parity and monotonicity of functions. Understand the concept of compound function, understand the concepts of inverse function and implicit function. Mastering the nature and graphics of basic elementary functions will establish the functional relationship of simple application problems. Understand the concepts of sequence limit and function limit, understand the concept of left and right limit of function and the relationship between limit existence and left and right limit.

Master the nature of limit and four algorithms. Master two criteria for the existence of limit, and use them to find the limit. Master the method of using two important limits to find the limit. Understanding the concepts of infinitesimal and infinity is relatively infinitesimal. After understanding the concept of function continuity, the type of function discontinuity is determined. The continuity of elementary functions and the properties of continuous functions on closed intervals (maximum, minimum and intermediate value theorems) will be applied.

Second, the differential calculus of binary function and its application

1, the concept of derivative, the geometric meaning and physical meaning of derivative. Tangents and normals of plane curves. The relationship between differentiability and continuity of functions. Derivation rules of sum, difference, product and quotient of functions. Derivation rules of compound function and inverse function. Derivative of implicit function and logarithmic derivative. Derivation rules determined by parametric equations. Derivative formula of basic elementary function. Derivability of elementary functions. The concept of higher derivative.

2. The concept of differential and its geometric meaning. The relationship between differentiable function and differentiable function. Four difference algorithms. Invariance of differential form.

3. Rolle theorem. Lagrange mean value theorem, Cauchy mean value theorem, Taylor formula, L'H?pital's law. Monotonicity and limit of functions.

The maximum and minimum values of the function. The concavity and convexity of function graphs. Inflexion and asymptote. Description of functional diagram. Arc differential.

Three. Integral calculus of unary function and its application

1, the concepts of primitive function and indefinite integral. Basic properties of indefinite integral. Basic integral formula, substitution integral method of indefinite integral and some basic laws.

2. The concept of definite integral. Geometric meaning and physical meaning of definite integral. The properties of definite integral, the mean value theorem of definite integral. Variable upper bound definite integral and its derivative. Newton-Leibniz formula. Substitution integral method and distribution integral method of definite integral. Simple application of definite integral.

4. Vector Algebra and Spatial Analytic Geometry

1, the concept of vector, the linear operation of vector. The product and cross product of two vectors. The included angle between two vectors and the condition that two vectors are perpendicular and parallel.

2. Spatial rectangular coordinate system. Coordinate representation of vector, unit vector. Directional sum and directional complement

3. Plane equation and straight line equation. Distance from point to plane and point to straight line. Relationship between plane and plane, straight line and straight line, and plane and straight line.

4. Spatial curves and surfaces.

Verb (abbreviation of verb) Differential calculus of multivariate functions

1, the concept of function. The concepts of limit and continuity of binary functions, and the properties of continuous functions on bounded closed regions

2. The concept of partial derivative. The concept of higher order partial derivative. The concept of total differential, the necessary and sufficient conditions for the existence of total differential. Derivation rules of multivariate composite functions and implicit functions. The concepts of derivative and gradient.

3. Spatial curves and tangent and normal planes. Tangent plane and normal of a surface. Limit and conditional limit of multivariate function. Lagrange multiplier method. Maximum and minimum values of multivariate functions.

Six, multivariate function integral calculus

The concepts and properties of 1 and double integral. Calculation of double integral in rectangular coordinate system and polar coordinate system. Simple proof of double integral.

2. The concepts of arc length curve integral and coordinate curve integral. Attributes and calculations. The relationship between two kinds of curve integrals. Green's formula.

Seven, infinite series

1, constant term series and its concept of convergence and divergence. The basic properties of constant term series and the necessary conditions for convergence. Convergence and divergence of geometric series and p series. Comparative convergence method of positive series. Leibniz theorem of staggered series. The concepts of absolute convergence and conditional convergence of constant term series.

2. The series of function terms and its convergence, and the concept of function. Convergence radius, convergence interval and convergence domain of power function. Basic properties of power series in its convergence interval. Solution of simple power series sum function. The concept of Taylor series of function. Necessary and sufficient conditions for functions to expand into Taylor series. Uniqueness of expanding a function into a power series.

Eight, ordinary differential equations

1, the concept of ordinary differential equation. The concepts of order, solution, general solution and special solution of differential equation. Initial conditions, initial value problems and their special solutions. Linear differential equation.

2. Differential equations with separable variables. Order linear differential equation. Decreasable higher order differential equation.

3. The properties of solutions of linear differential equations and the structure theorem of general solutions. Solutions of second order linear homogeneous differential equations with constant coefficients. Solution of simple second order linear inhomogeneous differential equation with constant coefficients.

4. Simple application of differential equation.

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