Current location - Training Enrollment Network - Mathematics courses - Candidates in the capital call mathematics "difficult to cry". What's the point of the test paper?
Candidates in the capital call mathematics "difficult to cry". What's the point of the test paper?
1, cultural infiltration, Lide Shu Ren

The test paper (6) examines a series of knowledge of party flag patterns and specifications supervised by China * * *, which embodies the requirements of the overall plan for deepening the reform of educational evaluation in the new era, focusing on inheriting the red gene and guiding students to pay attention to the knowledge and history of the party.

The problem (16) is based on the conventional trigonometric function. By changing the relatively fixed examination form and designing tasks that allow students to choose the known conditions independently, the openness of the examination questions is enhanced, which is helpful to reduce the phenomenon of rote memorization and "mechanical brushing" and reduce the excessive learning burden of students.

Question (8), designed the application topic of rainwater collection, organically combined environmental protection education, ecological civilization and other topics with mathematics test questions, guided students to establish the development concept of respecting nature, adapting to nature and protecting nature, demonstrated the educational value of mathematics, and implemented the moral education guide for primary and secondary schools.

2. seek change in stability and moderate innovation.

Compared with last year, on the basis of maintaining overall stability, mathematics test questions also reflect moderate innovation. For example, the poor structure of the first question is not difficult to solve, but it is different from last year that one of the three conditions given is not valid, while the other two groups have different solutions, which has built a platform for students to show their mathematical thinking ability.

Another example is question (3), which examines the necessary conditions, sufficient conditions and necessary and sufficient conditions of common logical terms. Compared with last year's exam, the position is relatively high, but the difficulty of the exam is reduced, which highlights the candidates' understanding and mastery of related concepts.

The moderate innovation of proposition enhances the flexibility of test questions, which plays a positive role in guiding teaching, preventing the solidification of question types and proposition methods, and is also conducive to examining students' ability and literacy.

3, pay attention to the foundation, highlight the backbone.

When examining the "four basics" of mathematics (basic knowledge, basic skills, basic ideas and basic activity experience), we should highlight the characteristics of mathematics, pay attention to examining students' rational thinking ability, give full play to the role of mathematics as a basic subject, pay attention to mastering the basic knowledge and methods of mathematics in middle schools, and pay attention to the main knowledge and content.

For example, the first five multiple-choice questions and the first three fill-in-the-blank questions involve basic knowledge and methods, and examine sets, complex numbers, necessary and sufficient conditions, three views, hyperbolic properties, binomial theorems, parabolic properties, plane vectors and so on. In the design of test questions, the knowledge points involved in these questions are relatively simple, and the ideas are relatively simple and easy to answer.

On this basis, the test paper focuses on the main content, which reflects the comprehensiveness, foundation and comprehensiveness of mathematics knowledge examination. Among the six solutions, the main contents are triangle and solid geometry, probability statistics, derivative, straight line and conic curve, and sequence synthesis. To solve the first two problems, the topic is concise and clear, focusing on the main knowledge and core concepts of triangle and solid geometry.

4. Emphasize the essence and examine the quality.

The examination paper highlights the quality of mathematics. While paying attention to the future development of candidates, we should pay attention to ability and emphasize the examination of mathematical methods and essence. For example, questions (6) and (8) of multiple-choice questions examine students' ability to analyze and solve problems by using what they have learned, which reflects their mathematical modeling literacy;

Question (20) Examining the main methods in analytic geometry requires students to have certain core literacy of mathematical operation and problem solving; Question (15) examines the comprehensive ability of reasoning and judgment and the flexible use of knowledge. Question (2 1) takes the number series as the carrier, and examines mathematical thinking methods such as induction, generalization and classified discussion, examines students' understanding of new concepts, and examines students' ability to acquire new knowledge, understand and explore new problems.

(4) To find the surface area of tetrahedron, students are required to solve it intuitively according to three views and examine their intuitive imagination; Question (17) examines the parallelism between a straight line and a plane and the related knowledge of dihedral angles, and examines logical reasoning and operational literacy. Question (13) examines the operation of vectors. Based on the dual characteristics of vector in geometry and algebra, this problem can be solved by coordinate calculation and geometric intuition.

5. Highlight the application of mathematics and reflect its value.

The setting of test papers comes from social reality and students' real life situations, and guides students to understand the scientific value, applied value, cultural value and aesthetic value of mathematics. For example, in question (6), in the five specifications, party flag, the producer of China * * *, has the same length-width ratio, which is similar to the golden section, reflecting the combination of party flag and mathematics.

Question (8) Starting from students' comprehensive practical activities, the rainfall is calculated by calculating the volume of rainwater in the cone rain gauge, which not only provides examples to solve practical problems in study and life, but also examines students' ability to analyze and solve problems.

For another example, in the (18) question, take the "K- 1" scheme commonly used in large-scale nucleic acid detection in China as the situation, solve the detection times, study the distribution list and expectations, and especially compare the "10 and 1" schemes to feel the choice of schemes and the number of infected people.