Mandatory (1 15)

A, set, simple logic (14 class, 8)

1. setting; 2. subset; 3. supplement;

4. Intersection; 5. Trade unions; 6. Logical connector;

7. Four propositions; 8. Necessary and sufficient conditions.

Second, the function (30 class hours, 12)

1. mapping; 2. Function; 3. Monotonicity of the function;

4. Inverse function; 5. The relationship between function images of reciprocal function; 6. Extension of the concept of index;

7. Operation of rational exponential power; 8. Exponential function; 9. Logarithm;

10. Operational properties of logarithm; 1 1. logarithmic function. 12. An application example of the function.

III. Series (12 class hours, 5)

1. sequence; 2. arithmetic progression and its general formula; 3. arithmetic progression's first N terms and formulas;

4. Geometric series and its topping formula; 5. The first n terms and formulas of geometric series.

Fourth, trigonometric function (46 class hours 17)

The generalization of the concept of 1. angle; 2. Curvature system; 3. Trigonometric function at any angle;

4. The trigonometric function line in the unit circle; 5. Basic relations of trigonometric functions with the same angle;

6. Inductive formulas of sine and cosine. Sine, cosine and tangent of sum and difference of two angles;

8. Sine, cosine and tangent of double angles; 9. Images and properties of sine function and cosine function;

10. Periodic function; The parity of 1 1. function; 12. Image of the function;

13. Images and properties of tangent function; 14. Find the angle with the known trigonometric function value; 15. Sine theorem;

16 cosine theorem; 17 example of oblique triangle solution.

V. Plane Vector (12 8 class hours)

1 .vector 2. Addition and subtraction of vectors 3. Product of real number and vector;

4. Coordinate representation of plane vector; 5. The demarcation point of the line segment; 6. The product of plane vectors;

7. The distance between two points on the plane; 8. Translation.

Inequalities of intransitive verbs (22 class hours, 5)

1. Inequality; 2. Basic properties of inequality; 3. Proof of inequality;

4. Solving inequality; 5. Inequalities with absolute values.

VII. Equation of Line and Circle (22 class hours, 12)

1. Angle and slope of straight line; 2. Point-oblique and two-point linear equations; 3. General formula of linear equation;

4. Conditions for two straight lines to be parallel and vertical; 5. Angle of intersection of two straight lines; 6. Distance from point to straight line;

7. The plane area is expressed by binary linear inequality; 8. Simple linear programming problem. 9. Concepts of curves and equations;

10. The curve equation is listed by known conditions; The standard equation and general equation of 1 1. circle; 12. The parametric equation of the circle.

VIII. Conic Curve (18 7 class hours)

1 ellipse and its standard equation; 2. Simple geometric properties of ellipse; 3. Parametric equation of ellipse;

4. Hyperbola and its standard equation; 5. Simple geometric properties of hyperbola; 6. Parabola and its standard equation;

7. Simple geometric properties of parabola.

Nine, (2) straight line, plane, simple (36 hours, 28 hours)

1. plane and its basic properties; 2. Intuitive drawing of plane graphics; 3. Plane straight line;

4. Determination and nature of parallelism between straight line and plane: 5. Determination of perpendicularity between straight line and plane;

6. Three vertical theorems and their inverse theorems; 7. The positional relationship between two planes;

8. Space vector and its addition, subtraction, multiplication and division; 9. Coordinate representation of space vector;

10. the product of space vectors; 1 1. The direction vector of the straight line; 12. angles formed by straight lines on different planes;

13. Common perpendicular of straight lines on different planes; 14 straight line distance in different planes; 15. Verticality of straight line and plane;

16. The normal vector of the plane; 17. Distance from point to plane; 18. The angle formed by a straight line and a plane;

19. The projection of the vector on the plane; 20. The nature that the plane is parallel to the plane; 2 1. Distance between parallel planes;

22. dihedral angle and its plane angle; 23. Determination and nature of verticality of two planes; 24. Polyhedron;

25. Prism; 26. pyramids; 27. Regular polyhedron; 28. Ball.

Ten, permutation, combination, binomial theorem (18 class, 8)

1. Classification counting principle and step-by-step counting principle. 2. Arrangement; 3. Formula of permutation number

4. combination; 5. Combination number formula; 6. Two properties of combination number:

7. binomial theorem; 8. The nature of binomial expansion.

XI。 Probability (12 class hours, 5)

1. Probability of random events; 2. The probability of this possible event; 3. mutually exclusive events has the probability of occurrence;

4. The probability of mutually independent events occurring simultaneously; 5. Repeat the test independently.

Elective 2 (24)

XII. Probability and Statistics (14 class hours, 6)

1. Distribution table of discrete random variables; 2. Expected value and variance of discrete random variables; 3. Sampling method;

4. Estimation of the overall distribution; 5. Normal distribution; 6. Linear regression.

Thirteen. Restrictions (12 class hours, 6)

1. Mathematical induction; 2. Examples of application of mathematical induction; 3. Limit of sequence;

4. Limit of function; 5. Four operations of limit; 6. Functional continuity.

Fourteen Derivative (18 class hour, 8)

The concept of 1. derivative; 2. Geometric meaning of derivative; 3. Derivatives of several common functions;

4. Derivative of sum, difference, product and quotient of two functions; 5. Derivative of composite function; 6. Basic derivative formula;

7. Using derivatives to study monotonicity and extremum of functions: the maximum and minimum of eight functions.

Fifteen, plural (4 class hours, 4)

The concept of 1. complex number; 2. Addition and subtraction of complex numbers; 3. Multiplication and division of complex numbers;

4. Expansion of digital system.

Answering skills

Solution of multiple choice questions in mathematics Solution of multiple choice questions in mathematics

Direct method:

It is based on the conditions of topic setting, through correct operation, reasoning or judgment, directly draw a conclusion, and then compare it with the selected branch to make a choice. Solving problems in this way requires a solid mathematical foundation.

Special case method

Special case method: it is a method to test or reason each branch by using some special values, special positions, special relationships, special graphs, special series and special functions that meet the conditions of the topic, and to judge the authenticity of the options by using the principle that the problem does not hold true in special cases and generally does not hold true. When solving multiple-choice questions by special case method, the simpler the special case, the more special it is.

Graphic method graphic method graphic method graphic method:

It is a method of combining problems of numbers (such as solving equations, solving inequalities, finding the maximum value, evaluation domain, etc.). ) With some graphics, use the geometric meaning of function images or mathematical results, and use intuition and simple calculation to determine the correct answer. This solution runs through the idea of combining numbers with shapes. There are many multiple-choice questions (including fill-in-the-blank questions and analytical questions) in the college entrance examination every year, which can be solved simply and quickly by combining numbers with shapes.

Screening method (also called exclusion method and elimination method):

It is a method to make full use of the characteristics of multiple-choice questions, that is, there is only one correct choice branch, start with the choice branch, and select the choice branch through analysis, reasoning, calculation and judgment according to the relationship between the conditions of the topic and each choice branch, so as to eliminate the interfering branches that contradict the topic one by one and draw the correct conclusion. The premise of using the screening method is "unique answer", that is, one and only one of the four options is correct.