Many questions in the test questions make teachers and students feel at home, peaceful and cordial, attach importance to examining students' basic mathematical literacy, consider the examination of knowledge points, thinking methods and abilities as a whole, and pay attention to the application consciousness and innovation consciousness of mathematics. In addition to its good selection function, it also has a good guiding role in middle school mathematics teaching, which is mainly manifested in attaching importance to foundation, mathematics literacy, and strengthening the cultivation of mathematics application and mathematical thinking ability.
Pay attention to the basics. 20 17 the first volume of national college entrance examination for liberal arts mathematics fully emphasizes basic knowledge and skills, highlights key points, and is in line with teaching practice. Each question in the test paper has a large number of basic questions, many of which are set at the intersection of a single knowledge point or the most basic knowledge, such as 1, 2, 3, 6, 7,10,65430.
Mathematical literacy:
Question 12 of the test paper takes the ellipse in analytic geometry as the background, examines the idea of classifying and discussing the X axis and Y axis of the ellipse, and deduces the derivative of the second1question to classify and discuss the positive and negative of a. The second question is based on the Yin-Yang fish in China Taiji diagram, and designs geometric probability calculation questions, which are close to the examinee's life. Through the answer to this question, let the candidates feel the nationality and cosmopolitanism of Chinese excellent traditional culture, deeply understand the profoundness and long history of Chinese excellent traditional culture, and inspire them to create more brilliant achievements.
The examination paper attaches importance to the application of mathematical knowledge;
The background comes from the life reality and social reality that students can understand. For example, the topic 19 takes the production of parts as the proposition background, combines mathematical knowledge with practical problems, and examines candidates' reading comprehension ability and ability to solve practical problems with mathematical knowledge, which embodies the application value and humanistic characteristics of mathematics, among which the difficulty of knowledge is not complicated and the requirement for calculation ability is high. Examines the examinee's reading comprehension ability, data processing and calculation ability and rational thinking in all aspects.
Comprehensive innovation:
In order to improve the discrimination, the examination paper not only pays attention to the foundation, but also fully examines the students' innovative consciousness. Test questions change smoothly, such as 12. Based on analytic geometry knowledge, combined with trigonometric function, students' detailed analysis ability of knowledge points is examined, which provides a stage for middle school students. Another example is 16, which requires students' spatial imagination ability, calculation ability and problem analysis ability, and has certain advantages for students with good foundation. It has a good degree of discrimination and reflects the selection of the college entrance examination. Another example is question 2 1. The first question mainly examines students' classified discussion ideas, which belongs to the questions that students are familiar with. However, the derivative function is difficult to factorize, and the second problem is easier to start with. Judging from the discussion of the problem 1, it is necessary for students to discuss and find the minimum value. The difficulty lies in solving inequality, which requires students to have high comprehensive analysis ability and certain calculation ability, fully embodying the characteristics of comprehensiveness and innovation. Of course, this question is comprehensive and innovative.
Judging from the overall situation of this year's test paper, the new curriculum standard test paper is close to the actual teaching in middle schools, pays attention to the investigation of ideas and methods, embodies the basic, applied and instrumental characteristics of mathematics, and is good at applying the internal relationship between knowledge to construct the main structure of the test paper, making the proposition more scientific.