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; 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. Extension of number system. Agree 1| comment.