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Math: 1. Set and simple logic (14 class hours, 8) 1. Settings; 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. Application example of function. 3. Sequence (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, the concept of trigonometric function (46 class hours 17) 1. Promotion of 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; An example of oblique triangle solution of 17. 5. Plane vector (12 class hours, 8) 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. 6. Inequality (22 class hours, 5) 1. Inequality; 2. Basic properties of inequality; 3. Proof of inequality; 4. Solving inequality; 5. Inequalities with absolute values. 7. Equation of straight 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. Eight. Conic curve (7 in 18 class)1ellipse 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. 9. (2) Straight line, plane and simple body (36 class hours, 28) 1. Plane and basic attributes; 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. X. Permutation, Combination and Binomial Theorem (18 class hours, 8) 1. Classified counting principle and step-by-step counting principle. 2. Arrangement; 3. permutation number formula' 4. Combination; 5. Combination number formula; 6. Two properties of combinatorial numbers: 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. Independent repeated test. Elective 2 (24)

Twelve. Probability 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. Limit (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 hours, 8) 1. The concept of 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: 8. Maximum and minimum values of functions. 15. Complex number (4 categories, 4) 1. The concept of complex number; 2. Addition and subtraction of complex numbers; 3. Multiplication and division of complex numbers There are 130 knowledge points in high school mathematics. In the past, a test paper had to examine 90 knowledge points, and the coverage rate was about 70%, which was regarded as one of the criteria to measure the success of the test paper. This tradition has been broken in recent years, replaced by attaching importance to thinking, highlighting ability, and attaching importance to the examination of thinking methods and thinking ability. Now we are happier in math than our predecessors! ! Finally, I suggest you visit this website often, www.pep.com.cn, and I believe it will be helpful to your study. Wish you success! Try the outline of the preliminary competition of the national senior high school mathematics league, which is completely in accordance with the teaching requirements and contents stipulated in the full-time middle school mathematics syllabus, that is, the knowledge scope and methods stipulated in the college entrance examination, and the method requirements are slightly improved, among which the probability and calculus preliminary tests are not taken. Test 1, basic requirements of plane geometry: master all the contents determined by the outline of junior high school mathematics competition. Supplementary requirements: area and area method. Several important theorems: Menelius Theorem, Seva Theorem, Ptolemy Theorem and siemsen Theorem. Several important extreme values: the point with the smallest sum of the distances to the three vertices of a triangle-fermat point. The center of gravity is the point where the sum of squares of the distances to the three vertices of a triangle is the smallest. The point where the distance product of three sides in a triangle is the largest is the center of gravity. Geometric inequality. Simple isoperimetric problem. Understand the following theorem: In a group of N-polygons with a certain perimeter, the area of a regular N-polygon is the largest. In a set of simple closed curves with a certain perimeter, the area of the circle is the largest. In a group of N-sided polygons with a certain area, the perimeter of the regular N-sided polygon is the smallest. In a set of simple closed curves with a certain area, the circumference of a circle is the smallest. Motion in geometry: reflection, translation and rotation. Complex number method and vector method. Planar convex set, convex hull and their applications.