Hong kong, Macao and Taiwan mathematics

1) Chinese

2) Mathematics

3) English

4) Physics

5) chemistry

6) geography

7) History

1) language

I. Examination requirements

China language refers to Chinese and China literature. This course mainly examines candidates' China language ability, that is, basic knowledge, reading and writing ability. Reading ability includes reading ability of modern Chinese (vernacular) and ancient Chinese (classical Chinese). Writing ability refers to the ability to express thoughts and feelings in modern Chinese, Putonghua and modern Chinese characters. The language of the candidates' answers is mainly modern Mandarin, and the characters are complex and simple.

Two. Examination content

First, the basic knowledge of Chinese

1. China knowledge

(1) Distinguish the meaning of words correctly

(2) Correct use of words

(3) Use language appropriately according to the differences of expression, occasion, object and purpose.

(4) Analyze long sentences with complex structures and correctly grasp the meaning.

(5) With the help of grammar and logic knowledge, modify unclear sentences to make them clear and coherent.

(6) With the help of rhetoric and grammar knowledge, sentences can be expressed accurately and with literary grace.

(7) Correct use of punctuation marks

2. Common sense of China literature

(1) Understand the main features of literary genres (Ci Fu, Yuefu, classical poetry, modern poetry, ci, qu, zaju and novel).

(2) Understand the famous ancient writers in China and their representative works.

(3) Understand the common sense of ancient culture related to important literary works.

(4) Memorize the famous sayings and sentences common in ancient China.

Second, reading.

1. Modern Chinese (Vernacular) Reading

(1) Understand the meaning of important words in the article.

(2) Understand the complex sentences in the article.

(3) Screening and integrating the important information in the article

(4) Grasp the author's viewpoint and attitude in the article.

(5) Summarize the main idea of the article

(6) Analyze the structure of the article.

(7) Analyze and evaluate the ideological content of the article.

(8) Evaluate and appreciate the image, language and writing skills of the works.

2. Read ancient Chinese (literary language)

(1) Understand the meaning of common notional words in classical Chinese.

(2) Understand the usage of function words commonly used in classical Chinese.

(3) Understand the sentence patterns and usage of ancient Chinese.

(4) Translate plain classical Chinese into modern Chinese.

(5) Understand the author's views and attitudes in the article.

(6) Summarize the main idea of the article

(7) Evaluate and appreciate the ideological and expressive power of the works.

Third, writing.

1. Understand the meaning of the question accurately

2. Accurate observation, appropriate association and reasonable imagination.

3. The language is standardized, coherent and appropriate

4. The article has a clear center, complete structure and clear organization.

5. The article is substantial and emotionally healthy.

6. The narrative is clear and complete, with appropriate details; Describe concretely and vividly; The explanation can grasp the characteristics and the language is concise; The argument is clear, sufficient and reasonable.

7. Understand the format and writing habits of commonly used practical writing.

Ⅲ. Examination form and examination paper structure

1. The examination method is closed book, writing pen, etc. Examination time 150 minutes, full score 150 points.

2. The proportion of each part of the test paper.

Basic knowledge and ability of Chinese account for about 20%

Classical Chinese reading 15%

Reading in vernacular Chinese accounts for about 25%

Writing accounts for about 40%

3. The examination paper is divided into two parts, the first part is multiple choice questions, and the second part is short answer questions and composition.

2) Mathematics

I. Examination requirements

1. Correctly understand and master the basic knowledge, skills, ideas and methods of middle school mathematics.

2. Skillfully use the mathematical knowledge and methods within the scope specified in this outline to solve problems (including simple application problems).

Two. Examination content

A, algebra (algebra)

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Rational number, irrational number and real number, absolute value, complex number and its vector representation, four operations of complex number.

2. Algebraic expressions

Algebraic expressions, fractions and their operations, factorial decomposition, roots and their operations, rationalization of quadratic roots.

3. Equation

Solution and application of univariate quadratic equation, relationship between roots and coefficients of univariate quadratic equation, solution of bivariate linear simultaneous equation and ternary linear simultaneous equation. Matrix determinant

4. Inequality

Inequality and its properties, the proof of simple inequality, the solution of one-dimensional linear inequality, and the solution of one-dimensional quadratic inequality.

5. A group

Set, subset, intersection, well set, complement set.

6. Function

Function, symbol of function, domain of function, increase and decrease of function, parity, inverse function, reciprocal function and the relationship between their images.

7. Linear function (y = ax+b, a≠0), quadratic function (y=ax2+bx+c, a≠0), inverse proportional function (y=k/x, k≠0) power function (y=xa), their images and properties.

8. Exponential function (y = ax, a > 0 and a≠ 1), logarithmic function (y = logax, a > 0 and a≠ 1, the common logarithm based on 10 is called lg x), their images and properties, and the logarithm base.

9. Sequence: arithmetic progression and his general formula and the sum of the first n terms, and geometric progression and his general formula and the sum of the first n terms.

10. Limit: the limit of sum function of sequence and its four operations. The absolute value of the common ratio is less than the sum of infinite geometric series of 1.

1 1. addition principle, multiplication principle, permutation and permutation number formula, combination and composite number formula.

12. binomial theorem, mathematical induction.

13. Polynomial: Polynomial, remainder theorem and factorial theorem.

Second, triangle (triangle)

1. The measurement and independence of angle, and the definitions of sine (sin a), cosine (cos a), tangent (tan a) and cotangent (cota) of acute angle.

2. Formula for converting arbitrary trigonometric function into acute trigonometric function (inductive formula), relationship formula between trigonometric functions with the same angle, known images and properties of trigonometric function, sine function, cosine function and tangent function.

3. The solution of right triangle and its application, sine theorem and cosine theorem and their application in the solution of oblique triangle.

4. formulas of trigonometric functions of sum and difference of two angles, sine, cosine and tangent formulas of two angles, and sine, cosine and tangent formulas of half angles.

5. Arcsine function, arccosine function, arctangent function and their images.

Three, Solid geometry (solid geometry)

The positional relationship between two straight lines in 1. space, parallel straight lines, angles with parallel sides, and angles formed by straight lines in different planes.

2. The positional relationship between the straight line and the plane, the judgment and nature of parallelism, the judgment and nature of verticality, the projection of oblique lines on the plane, and the angle formed by the straight line and the plane. If a straight line on a plane is perpendicular to the projection of an oblique line on this plane, it is also perpendicular to this oblique line (called the three perpendicular theorem) and its inverse theorem.

3. The positional relationship between two planes, the judgment and nature of two planes being parallel, dihedral angle, and the judgment and nature of two planes being perpendicular.

4. The volume and side area of a regular prism, a regular pyramid, a regular frustum, a cylinder, a cone and a frustum, and the volume and surface area of a sphere.

5. The relationship between positive proposition, negative proposition, negative proposition and negative proposition, necessary conditions and sufficient conditions.

Fourth, analytic geometry (analytic geometry)

1. coordinate system

Plane rectangular coordinate system, distance formula between two points, fixed fraction of line segment.

2. Vector

Inner product of vector, directed line segment, vector and plane vector.

3. The inclination angle and slope of the straight line, the point inclination, oblique section, two points, intercept and general equation of the straight line, the condition that the two straight lines are parallel and vertical, the angle formed by the two straight lines, the intersection point of the two straight lines and the distance from the point to the straight line.

4. Curves and equations, simple trajectory problems.

5. Standard equation and general equation of circle, definition of ellipse, standard equation, figure and its properties, definition of hyperbola, standard equation, figure and its properties, definition of parabola, standard equation, figure and its properties.

6. Coordinate axis translation, which transforms the binary quadratic equation lacking xy term into standard equation.

7. Polar coordinate system, mutual conversion between polar coordinates and rectangular coordinates.

8. Spatial rectangular coordinate system, straight line and plane in space, plane equation, spatial straight line equation.

V. Calculus (Calculus)

1. The concepts of continuous functions and derivatives and their geometric meanings, the derivatives of several common functions [c, XM (m is a rational number), the derivatives of the sum, difference, product and quotient of ex, ax, ln x and logax, the derivatives of composite functions and the basic derivative formulas.

2. The monotonicity, extreme value, maximum value and minimum value of the function are studied by derivative.

Probability and statistics of intransitive verbs

1. Probability of random events, probability of equal possibility events, mutually exclusive events's probability addition formula, probability multiplication formula of mutually independent events, and independent repeated test.

2. Sampling methods (random sampling, systematic sampling, stratified sampling, etc. ), estimation of population distribution, estimation of normal distribution and its population characteristic number.

Ⅲ. Examination form and examination paper structure

1. Examination time 120 minutes, full mark 150 points.

2. Answer the exam with a closed-book pen, use a pen or ballpoint pen, and do not use a red pen or pencil.

3. The candidates of arts and sciences use the same test paper, including different test questions of the candidates of arts and sciences.

4. You can use drawing tools such as calculators, compasses and rulers during the exam.

5. The proportion of knowledge content of each part

Algebra about 35%

The triangle is about 15%.

The solid geometry is about 10%

Analytic geometry accounts for about 20%

Calculus is about 10%

The probability statistics are about 10%

6. Proportion of all kinds of problems

The test paper includes three types of questions: multiple-choice questions, fill-in-the-blank questions and solution questions. Multiple choice questions are single choice questions with four choices; Fill-in-the-blank questions only require direct filling in the results, and do not require writing out the calculation or deduction process; Solution questions include calculation questions, demonstration questions and application questions, and the solution should be written in words, calculation steps or derivation process. Percentage of scores in three types of papers:

About 35% of multiple-choice questions

Fill in the blanks about 25%

About 40% of the answers

4) Physical principles

I. Examination requirements

1. Understand the basic physical knowledge listed in this syllabus (including phenomena, concepts, laws and applications).

2. Master the scientific methods and skills involved in this outline (including experimental methods and skills).

3. Be able to use basic physical knowledge, methods and skills to solve specific problems.

A few notes on the examination requirements:

(1) This outline contains both theoretical knowledge and experimental knowledge. However, during the examination, experimental knowledge only requires written answers, and candidates are not required to do experiments in the examination room.

(2) The mathematical knowledge involved in this outline includes trigonometry, algebra and geometry, analytic geometry and other general mathematical knowledge. There is no need for calculus.

(3) International System of Units (SI) is generally adopted. But also familiar with the following symbols:? (micro), m (milli), k (thousand), cm (centimeter). The following units are also required: a (angstrom), degree (degree), c (degree), eV (electron volt), kWh (kilowatt hour), atm (standard atmospheric pressure), mmHg (millimeter mercury height), year, day, hour, minute and second.

(4) When answering the test paper, physical terms can be written in English.

Two. Examination content

The examination content includes five parts: mechanics, heat, electromagnetism, optics, atomic physics (including nuclear physics) and experiment.

I. Mechanics

1. kinematics

Scalar sum vector, vector addition, vector decomposition (limited to two nanometers). Particles.

Displacement and distance. Speed. Acceleration. Relative speed.

Uniform motion. Constant speed and variable speed movement. Motion of falling bodies and projectiles.

Graphical method (s-υ diagram, υ-t diagram).

Curved movement: stone throwing movement. Uniform circular motion, linear velocity and angular velocity, centripetal acceleration.

2. Newton's law of motion and law of universal gravitation.

Newton's first law. Inertia; inertia

Newton's second law. Force. Quality.

Newton's third law.

The law of universal gravitation.

Elastic force. Hooke's law.

Friction. Static friction and static friction coefficient. Sliding friction and sliding friction coefficient.

Application of Newton's law.

Centripetal force of particles in circular motion. The motion of an artificial earth satellite (confined to a circular orbit).

3. Balance of objects

* * * The balance of objects under the action of point force.

4. Momentum effect

Momentum.

Impulse (impulse)

Law of conservation of momentum (law of conservation of momentum)

Collision (limited to one dimension)

retribution

5. Work and energy

Work. Power (power)

Kinetic energy.

Potential energy. Gravity potential energy. The potential energy of a spring.

Law of mechanical energy.

Step 6 shake

Load light spring. Simple harmonic motion (simple harmonic motion).

Amplitude. Period and frequency.

Periodic formula of simple pendulum.

Forced vibration and resonance phenomena. (qualitative)

7.waves

Shear wave (transverse). Longitudinal wave

Wave velocity, wavelength, frequency and their relationships.

Interference of waves. Standing wave diffraction of waves. (qualitative) waveform diagram.

Second, heat.

1. temperature

Centigrade scale ().

Thermodynamic scale of temperature.

2. heat

Heat. Heat capacity. Specific heat capacity

3. Ideal gas and gas dynamics theory.

Ideal gas. Universal gas constant (universal gas constant)

Theory of molecular motion. Brownian motion. molecular force

Microscopic interpretation of temperature and pressure.

4. The first law of thermodynamics

Kinetic energy of molecules. Potential energy of molecules. The internal energy of an object. first law of thermodynamics

Third, electromagnetism.

1. electrostatics

Charge. Conservation of charge.

Conductor. Semiconductors. Insulator.

Coulomb's law

Electric field intensity. Electric field intensity of point charge. electric field line

Principle of field strength superposition.

Potential difference and potential. equipotential surface

Relationship between electric field strength and potential difference (uniform electric field only).

Motion of charged particles in uniform electric field. Oscilloscope tube

Electric field intensity, potential and charge distribution on conductor in electrostatic field.

Capacitor. Capacitance.

Relationship between capacitance of parallel plate capacitor and plate area and spacing (no conductance required).

Series connection and good connection of capacitors.

2. DC

Current intensity. Ohm's law Resist. Resistivity (resistivity). Relationship between resistivity and temperature.

Series and parallel resistors.

Electromotive force and internal resistance of power supply.

Electricity and electricity. The power consumed on the resistor.

3. Current magnetic field

Magnetic effect of current.

Magnetic flux density. Magnetic field lines (magnetic field lines)

Distribution of magnetic field lines of electrified long straight wires, rings and solenoids. Right-handed spiral rule)

4. Influence of magnetic field on current

Force of uniform magnetic field on electrified straight line. The left hand rule.

Lorentz force.

Determination of charge-mass ratio (e/m).

5. Electromagnetic induction and alternating current

Electromagnetic induction phenomenon.

Faraday's law of electromagnetic induction. lenz law

Self-induction phenomenon.

Mutual inductance phenomenon. Principle of transformer.

Principle of alternator.

The waveform of sinusoidal alternating current. Effective value (RMS) peak value

6. Electromagnetic oscillation and electromagnetic waves

Oscillating circuit (qualitative). Electromagnetic waves. Wave velocity of electromagnetic wave. Electromagnetic spectrum.

Fourth, optics.

1. Geometric optics

The straight line propagation of light.

Reflection of light. Law of reflection.

Plane mirror imaging.

The refraction of light. Law of refraction. Refractive index Relationship between refractive index and light speed.

Reversibility of optical path.

Total reflection. Critical angle.

Prism refraction. Disperse.

Lens imaging. Drawing method.

2. Interference and diffraction of light.

Electromagnetic theory of light.

Interference of light (qualitative).

Diffraction of light (qualitative).

3. Light effect

Photoelectric effect. Planck constant.

Wave-particle duality of light

Verb (abbreviation for verb) atomic physics

1.atom

Spectrum. Emission spectrum and absorption spectrum. Line spectrum and continuous spectrum.

The nuclear structure of atoms. Rutherford scattering experiment (qualitative)

Bohr model of hydrogen atom.

2. Core

Natural radiation phenomenon. Half-life.

Artificial transmutation of nucleus, composition of nucleus.

The nuclear equation.

Radioisotope (radioisotope).

Mass-energy relationship.

Sixth, experiment.

1. Use and reading of vernier caliper.

2. Use and reading of micrometer

3. Use paper tape timer or digital data recorder.

4. Verify Newton's second law.

5. Study the vibration period of a simple pendulum.

6. Use and reading of thermometer.

7. Draw equipotential lines on the plane in the electric field by description.

8. Learn to use a polygraph.

9. Measure the resistance with voltmeter and ammeter.

10. Measure the electromotive force and internal resistance of the power supply.

1 1. The ammeter is converted into a voltmeter.

12. Learn to use multimeter.

13. Measure the refractive index of glass.

14. wavelength of double-slit interferometry.

Ⅲ. Examination form and examination paper structure

1. The examination method is closed book and written answer. Examination time 120 minutes, full score 150 points.

2. The proportion of each part of the test paper (including related experiments):

Mechanics accounts for about 34%

The heat is about 12%

Electricity is about 34%

Optical about 10%

Atomic physics is about 10%

3. The examination paper is divided into two parts. The first part is multiple-choice questions, and the second part is general questions. Proportion of two types of questions: multiple-choice questions account for 40%, and general questions account for 60%.

5) chemistry

I. Examination requirements

1. Correctly understand and apply the basic concepts and principles of chemistry.

2. Understand the properties, preparation methods and uses of simple elements and their important compounds.

3. Understand the basic knowledge of organic chemistry.

4. Master basic chemical calculation.

5. Master basic experimental skills.

6. Pay attention to the connection and comprehensive application of the above knowledge.

7. Understand the relationship between chemistry and life, society, environment and related disciplines.

Two. Examination content

First, the basic concepts and principles of chemistry

1. Atoms and molecules

(1) atoms, molecules and ions;

(2) the quantity and molar number of substances, the molar mass and molar volume of gases;

(3) Chemical formula and chemical equation.

2. Atomic structure

(1) atomic composition, nucleus, proton, neutron and electron;

(2) atomic number and isotope;

(3) Take rare gas elements as an example, and master the arrangement of extra-atomic electron layers.

3. Periodic law of elements

(1) The relationship between the periodicity of extranuclear electron configuration and the gradual change of element properties, and the periodic change of atomic radius and valence;

(2) Periodic table of elements, period, main family and sub-family.

4. Chemical bonds

(1) The valence bond, * * valence bond and metal bond of ionic bond.

(2) Polar bonds and nonpolar bonds, polar molecules and nonpolar molecules;

(3) intermolecular force (i.e. van der Waals force) and hydrogen bond;

(4) Atomic crystals, ionic crystals, molecular crystals and metal crystals.

5. Heat of chemical reaction

(1) Energy change in chemical reaction;

(2) endothermic reaction and exothermic reaction;

(3) Thermochemical equation;

(4) Combustion heat and neutralization heat.

6. Chemical reaction rate

(1) expression of chemical reaction rate;

(2) The influence of concentration and pressure on the reaction rate;

(3) The influence of temperature on the reaction rate;

(4) Catalyst and its influence on reaction rate.

7. Chemical balance

(1) Reversibility of chemical reaction, chemical equilibrium state;

(2) the conversion rate of reactants;

(3) The influence of concentration, temperature and pressure on chemical equilibrium, Le Chatler principle.

8. Electrolytes in electrolytes

(1) electrolyte and non-electrolyte, strong electrolyte and weak electrolyte;

(2) Ionization equilibrium of weak electrolyte;

(3) The definition of ionic product and pH of water, and related calculations and indicators;

(4) acid-base neutralization reaction and salt hydrolysis reaction;

(5) Ion reaction and ion reaction equation.

9. Redox reaction

(1) oxidant and reductant;

(2) Balance of redox equation;

(3) Comparison of redox capacity between typical metals and typical nonmetals;

(4) Principle of primary battery, metal corrosion and protection;

(5) Electrolysis principle and its application.

Second, inorganic chemistry

1. The position of hydrogen (H) in the periodic table of elements, the properties, preparation methods and uses of hydrogen;

2. Atomic structure of halogen and its comparison with chemical properties of compounds;

3. Important properties and uses of nonmetallic elements such as oxygen (O), sulfur (S), nitrogen (N), phosphorus (P), carbon (C), silicon (Si Si) and their common compounds;

4. Important properties and uses of alkali metals, alkaline earth metals and their common compounds;

5. The important properties and uses of barnyard grass (Al), iron (Fe), copper (Cu) and their common compounds.

Three. organic chemistry

1. Characteristics and nomenclature of organic matter (IUPAC nomenclature);

2. Typical organic reactions: substitution, addition, addition polymerization, polycondensation, esterification, elimination, etc.

3. Molecular structure and properties of methane, ethylene, acetylene and benzene;

4. Alkanes, cycloalkanes, olefins, aromatic hydrocarbons, homologues and isomers;

5. Fractionation and cracking of petroleum; Dry distillation and comprehensive utilization of coal;

6. Concepts of hydrocarbons and derivatives of functional groups, halogenated hydrocarbons, alcohols, phenols, aldehydes, ketones, carboxylic acids and ethers.

7. The basic structure, main properties and uses of carbohydrates, amino acids and protein;

8. Characteristics and applications of three synthetic materials: plastic, rubber and fiber;

9. Air and water pollution and its prevention.

Fourth, chemical calculation.

1. Calculate the mass relationship, quantity (molar) relationship and volume relationship of gaseous substances according to the chemical reaction equation;

2. Calculation of impurity content of raw materials, product purity and yield;

3. Calculate the experimental formula, molecular weight and chemical formula according to the chemical analysis data;

4. Solubility and its related calculation;

5. Calculation of solution concentration [such as mass fraction (mass percentage concentration), molar concentration, ppm concentration, etc.]. ];

6. Calculation of reactant conversion rate;

7. Calculation of ionic product of water and pH value of solution.

Verb (abbreviation of verb) chemical experiment

1. Correct use of common instruments in chemical experiments;

2. Preparation, collection and identification of common gases;

3. Inspection of common ions;

4. The nature and identification of common organic matter;

5. The effects of concentration, temperature and catalyst on chemical reaction rate, and the effects of concentration and temperature on chemical equilibrium;

6. Preparation and dilution of solution;

7. Use neutralization titration, indicator and pH test paper;

8. Determination of solubility and drawing of solubility curve; [potassium nitrate]

9. Principle of galvanic cell, electrochemical corrosion of metal;

10. Electrolytic saturated salt solution;

1 1. Determination of molecular weight;

12. purification of copper sulfate by recrystallization and determination of crystal water content;

13. Purification of crude salt;

14. Preparation of ethyl acetate;

15. Preparation of urea-formaldehyde resin

Ⅲ. Examination form and examination paper structure

1. Close the book and give a written answer.