Experts pointed out that in 2023, the mathematics examination paper of Beijing college entrance examination met the requirements of national curriculum standards as a whole, and combined with the actual situation and subject characteristics of mathematics teaching in senior high schools in Beijing, the knowledge content was comprehensive and the backbone was prominent; Situational questions are real and meaningful, pointing directly at the core literacy of mathematics.

Compared with last year, the structure of the test paper remains the same, and it is still a single choice question, a fill-in-the-blank question and a solution. The preset difficulty of each question type basically conforms to the distribution from easy to difficult; The contents of the examination are basically the same, emphasizing basic and comprehensive.

In the form of expression, the test questions are concise, standardized, illustrated and diversified, which continues the characteristics of "atmosphere and peace" in Beijing mathematics test papers. The overall stability of the proposition is conducive to the examinee's stable mentality, normal play, and test their own mathematical true level. The subtle changes in the situation of examination questions and questions are conducive to selecting talents and giving play to the selection function of the college entrance examination.

Experts believe that the 2023 Beijing college entrance examination mathematics volume has the following outstanding features:

1, stick to Lide Shu Ren. The examination questions closely focus on the fundamental task of cultivating people by virtue, follow the requirements of all-round development of morality, intelligence, physique and beauty, and carefully select materials to reflect the educational value of mathematics culture.

For example, in question (9), the sloping roof with the traditional architectural style of China was given the real background of solid geometry, and the students' spatial imagination and problem analysis ability were examined. In the process of solving problems, students feel the symmetrical beauty of mathematics with the help of geometric symmetry, which is helpful to guide students to attach importance to aesthetic education and cultivate aesthetic consciousness;

For example (18), based on the data of agricultural product price changes for 40 consecutive days, this paper examines the students' ability to analyze and process the actual data in real society by using the probability and statistical knowledge they have learned, and at the same time, studies the relevant laws in agricultural products as the carrier to guide students to pay attention to productive labor.

2. Focus on four basics and four energies. Compared with previous years, the examination paper is generally stable, highlighting the main line and main knowledge of mathematics, covering a wide range and highlighting key knowledge, which embodies the consistency of teaching, learning and examination.

For example, the first eight questions of multiple choice questions examine set, complex number, plane vector, function property, binomial theorem, parabola property, triangle solution and necessary and sufficient conditions in turn; The first three questions in the fill-in-the-blank question examine the operation of finger pairs, the standard equation of hyperbola and the properties of tangent function in turn.

At the same time, the test questions also focus on the examination of mathematical thinking methods and mathematical thinking quality. For example, the topic (15) examines the synthesis of function and analytic geometry, and through the connection between analytic function and curve equation, the idea of combining numbers with shapes is embodied;

3. strive for progress in stability. While paying attention to the foundation and overall stability, the examination paper pays attention to the moderate change and innovation of the examination content and the way of setting questions, takes the ability as the purpose, pays attention to the basic ideas and methods of mathematics, and highlights the core literacy of mathematics.

For example, this question (13) examines students' ability and consciousness of giving examples to falsify from the perspective of the truth or falsehood of the proposition. Although the topic is open-ended, the knowledge of trigonometric functions involved is relatively basic;

Problem (20) is a derivative synthesis problem. The third question examines the tangent equation, monotone interval and the number of extreme points in turn. Compared with last year's questions, the way of setting questions is conventional and specific. The main change is to increase the derivative of simple compound function and give the inverse parameters of tangent equation. This question mainly examines the core literacy of students' mathematical operation and logical reasoning, and also reflects the characteristics of focusing on key issues in mathematics examination papers.

4. Perceive the value of mathematics. The test questions focus on the combination of learning and application, and examine students' ability to analyze and solve problems flexibly by using the knowledge and methods they have learned. Pay attention to creating the actual situation of social life, pay attention to people's livelihood issues, and guide students to understand the scientific, applied, cultural and aesthetic values of mathematics.

For example, although the presentation of question (10) is based on the sequence, it actually examines the essential characteristics of the sequence and the nature of the basic elementary function, which embodies the characteristics of "from the textbook, higher than the textbook, comprehensive deepening, structural correlation" and the thinking method of reduction, special and general, finite and infinite.

The question (18) takes "Study on the Law of Agricultural Product Price Change" as the thread, adhering to the problem-solving style of Beijing Probability Statistics over the years, which not only examines students' reading comprehension and information extraction ability, but also examines students' data analysis and statistical prediction ability, and guides students to solve problems and understand the world with mathematical thinking.

Looking at the whole test paper, we keep the basic, comprehensive and flexible characteristics of Beijing test paper, focusing on stability and seeking change in stability. Highlight basic knowledge, basic skills, basic activity experience and basic thinking methods.

At the same time, it also pays attention to stimulating students' interest in advocating science and exploring the unknown, encouraging students to observe life, analyze problems, explore the essence from different angles, and creatively solve problems with mathematical methods. This set of examination papers provides a platform for students with different ability levels, and has a positive guiding role in daily mathematics teaching and deepening the curriculum reform of basic education.