In 2023, the national mathematics volume of the college entrance examination carried out the spirit of the 20th National Congress of the Communist Party of China, comprehensively implemented the Party's educational policy, implemented the fundamental task of educating people with morality, and promoted the all-round development of students' morality, intelligence, physique, beauty and labor.
Reflect the curriculum concept of basic education in the new era, implement the reform of examination evaluation and the reform of high school education methods, comprehensively examine the core literacy of mathematical abstraction, logical reasoning, mathematical modeling, intuitive imagination, mathematical operation and data analysis, reflect the requirements of basic, comprehensive, applied and innovative examinations, highlight rational thinking, and play an important role in talent selection.
Give full play to the role of basic disciplines and help select innovative talents.
In 2023, the national mathematics volume of the college entrance examination gave full play to the role of basic subjects, highlighted the examination of literacy and ability, identified the quality of thinking, demonstrated the thinking process, set up a stage for candidates to show, and devoted themselves to cultivating talents independently, improving their quality and serving the modernization of talent selection.
First of all, it focuses on logical reasoning literacy. For example, the seventh question of New Curriculum Standard 1 takes arithmetic progression as the material, examines the proof of necessary and sufficient conditions, and asks candidates to judge the sufficiency and necessity, and then proves them separately. The key to solve the problem is to make use of arithmetic progression's concept and characteristics for reasoning.
The essence of the second volume of the new curriculum standard 1 1 is to judge the relationship between the coefficients of the equation according to the properties of the roots of the quadratic equation with one variable. After the derivative of the function in the problem, the properties of its maximum and minimum can be transformed into a quadratic equation with two positive roots. Question 2 1 of National Science Volume B requires candidates to conduct classified reasoning discussion according to the nature of parameters to examine the order and rigor of thinking.
In-depth examination of intuitive imagination literacy, such as the national science 15 in Volume A, requires that the common points of a sphere and a cube edge be determined through imagination and simple calculation. On the basis of geometry, the topic of National Science Volume B 19 examines the relationship among space, line and surface.
The ninth question in the second volume of the new curriculum standard examines the content of the cone in the form of multiple-choice questions. The topic is the basis of comprehensive investigation, and the four options are asked step by step. The previous options provide conditions for the later options, and each option examines the different properties of the cone, which are interrelated and focused.
A solid mathematical operation literacy test requires candidates to understand the operation object, master the operation law, explore the operation ideas and get the operation results. For example, the first volume of the new curriculum standard 17, sine theorem, the basic relationship of trigonometric functions with the same angle, solving triangles and other mathematical contents. Used to examine mathematical operation literacy.
The second book of the new curriculum standard 10 sets the intersection of a straight line and a parabola, and examines the calculation ability through the simultaneous expression of the straight line equation and the parabola equation.