Cognitive module

Main knowledge points, college entrance examination sites, hot spots

1. set, function, sequence, inequality

1. Images, properties and comprehensive applications of common functions II. Arithmetic, general term of geometric series, summation.

3. Calculation and application of important inequalities and functions and series.

2. Trigonometric functions, vectors and complex numbers

1. Angle generalization, inductive formula, images of important trigonometric functions, properties and applications.

2. Trigonometric function image transformation, application

3. Comprehensive application of sum and difference of two angles, triangle constant deformation 4. Vector calculation, scalar product, parallel, vertical, coordinate representation, geometric application.

5. Complex number calculation, geometric meaning

6. Comprehensive research on trigonometric function, vector and complex number

3. Plane analytic geometry, straight lines and circles, conic 1. Equation of straight line and circle and its application

2. Equations, images, properties and applications of ellipses, hyperbolas and parabolas.

3. Comprehensive investigation of straight lines, circles and conic curves 4. Moving point trajectory problem

5. Existential problems, open problems

4. Solid geometry, space rectangular coordinate system, space vector, normal vector, angle and distance of space 1. The positional relationship between points, lines and surfaces, parallel, vertical and spatial imagination.

2. Calculation and proof of space vector, space rectangular coordinate system and normal vector.

3. Calculate the angle and distance of space, which proves that the investigation is comprehensive.

5. permutation, combination, binomial theorem, probability,

statistics

The arrangement, combination, calculation and application of 1. binomial theorem 2. Discussion and calculation of probability and statistics III. The solution of regression linear equation 4. Simple application of various probability models

6. Limit and derivative, calculus

1. Calculation and Application of Limit and Derivative

2. Use derivative to find the slope of curve, monotonicity of function, extreme value, maximum value and other comprehensive applications.

7. Selected lectures on parametric equations, polar coordinates, inequalities and geometric proofs 1. Calculation, transformation and application of parametric equation and polar coordinates II. Cauchy inequality, ranking inequality and other simple applications.

3. The application of simple geometric proof

Eight. Common mathematical thinking methods

1. Thinking method of classified discussion II. The thinking method of combining numbers and shapes. Thinking methods of functions and equations iv. Turn to thinking method.