Senior high school science mathematics * * * study 1 1 book, of which 5 are compulsory and 6 are optional. The compulsory courses are 1, 2, 3, 4, 5, and the elective courses are 2- 1, 2-2, 2-3, 4- 1 (selected lectures on geometric proof), 4-4 (coordinate system and parameter equation), and 4-5 (selected inequalities).
Beijing normal university edition senior high school liberal arts mathematics:
Senior high school liberal arts mathematics * * * study 9 books, including 5 compulsory books and 4 elective books. Compulsory courses are 1, 2, 3, 4, 5, and elective courses are 1- 1, 1-2 (statistical cases), 4-4 (coordinate system and parameter equation), and 4-5 (selected lectures on inequalities).
Extended data:
The main difference between high school liberal arts and science mathematics is that science has learned a lot, as follows:
1, conic curves and equations, curves and equations
2. The concepts of space vector, solid geometry and space vector.
3. Derivative and its application, derivative and definite integral of simple compound function.
4. Reasoning and proof, the principle of mathematical induction, and the simple application of mathematical induction.
5. Counting principle, addition principle sum multiplication principle, permutation and combination, binomial theorem.
6. Probability statistics, discrete random variables and their distribution tables, hypergeometric distribution, conditional probability and independent events, model and binomial distribution of n independent repeated trials, mean and variance of discrete random variables.
7. Special lectures on geometric proof, similar triangles's judgment, property theorem and projective theorem.
8, matrix and transformation, the concept of matrix
9. Coordinate system and parametric equation, related concepts of coordinate system, polar coordinate equation of simple figure, mutual conversion between polar coordinate equation and rectangular coordinate equation, parametric equation, parametric equation of straight line, circle and ellipse.
10, lecture on selected inequalities, basic properties of inequalities, solution of inequalities with absolute values, proof of inequalities (comparison method, synthesis method and analysis method), arithmetic-geometric average inequality, Cauchy inequality, and finding the maximum (minimum) value by using inequalities.