Compulsory one and compulsory two mainly involve the contents of plane geometry and analytic geometry. For example, compulsory one explains the basic knowledge of sets and common logical terms, functions, exponential functions and logarithmic functions, trigonometric functions, plane vectors and so on. Compulsory 2 mainly explains spatial geometry, the positional relationship between points, lines and surfaces, the positional relationship between straight lines and circles, the positional relationship between circles, and the preliminary knowledge of solid geometry.
Compulsory 3, mainly involving algebra and probability statistics. For example, compulsory three explains elementary algorithms, common logical terms, probability, statistics and other knowledge.
In optional compulsory one and optional compulsory two, calculus and analytic geometry are mainly involved. For example, the knowledge of calculus foundation, sequence limit, function limit and limit application is explained in the first elective compulsory course; The second elective compulsory course mainly explains the knowledge of derivative and its application, definite integral and its application.
Difficulties in high school mathematics textbooks:
1, function and derivative part: function is the basic concept of high school mathematics, but students' definition and understanding of function are often not deep enough. Especially the analytical formulas and properties of complex functions such as compound functions and abstract functions require students to have strong ability to analyze and solve problems. The derivative part is also one of the difficulties in high school mathematics, and students often have difficulties in understanding and applying the concept and operation rules of derivative.
2. Trigonometric function and trigonometric solution: Trigonometric function is one of the important contents of high school mathematics, but students often have problems such as unclear concept and unfamiliar formula when dealing with trigonometric function problems. Solving triangles involves many knowledge points, such as sine theorem, cosine theorem and area formula. This requires students to have strong logical thinking and reasoning ability.
3. Geometry and algebra: Geometry and algebra are two important fields of high school mathematics, but students often have problems such as unskilled transformation and inaccurate analysis when dealing with geometry and algebra. In particular, analytic geometry requires students to have strong ability of combining numbers with shapes and spatial imagination.
4. Mathematical thinking and methods: Senior high school mathematics not only requires students to master basic concepts and formulas, but also requires students to have strong mathematical thinking and methods. For example, the application of reverse thinking, inductive conjecture and analogical reasoning can often help students solve some complicated problems.