1. Set and proposition: the concept and operation of set, proposition and necessary and sufficient conditions.
2. Inequality: concept and nature, average inequality, inequality proof, inequality solution, absolute inequality and inequality application.
3. Function: definition of function, analytic function and domain, range and maximum, inverse function, three properties, zero point of function, function image, exponent and exponential function, logarithm and logarithmic function, and application of function.
4. Trigonometric ratio and trigonometric function: related concepts, homology relation and inductive formula, sum, difference, multiple, semi-formula, universal formula, auxiliary angle formula, evaluation, simplification, proof, images and properties of trigonometric function, application of trigonometric function, inverse trigonometric function and simplest trigonometric equation.
5. Plane vector: related concepts and elementary operations, linear operations, three-point * * * lines, coordinate operations, product of quantities, triangle "four centers" and their applications.
6. Sequence: related concepts of sequence, arithmetic progression, geometric series, solution of general formula, summation of sequence, application of sequence, mathematical induction, limit and operation of sequence, infinite geometric progression.
7. Equation of straight line and circle: direction vector, normal vector, straight line equation, positional relationship between two straight lines, linear programming, equation of circle, positional relationship between straight line and circle.
8. Solid geometry and space vector: space straight line, straight line and plane, plane and plane, prism, pyramid, distance between spheres, three views and direct view of geometry, surface area and volume of geometry, space vector.
9. permutation and combination: permutation and combination application problem, binomial theorem and its application.
10, complex number: concept and operation of complex number, calculation of square root and cube root of complex number, quadratic equation with real coefficient.
1 1, matrix and determinant: binary linear equations, basic operation of matrix, second-order determinant, third-order determinant, diagonal rule, cofactor, algebraic cofactor.
12. Preliminary algorithm: flow chart, algorithm statement, conditional statement and loop statement.