The second volume of the whole country gives full play to the characteristics of the subject, and designs the problem situation of mathematics test questions with the real materials of China's fight against the COVID-19 epidemic. The third question of science (the fourth question of liberal arts) is designed with volunteers participating in commodity distribution in a supermarket as the background. During the epidemic prevention and control period, large-scale online shopping distribution is the real situation around candidates, and the knowledge and methods of test questions are very basic. As long as candidates understand the content of the topic and use the basic knowledge of probability, they can get the answer to the topic, which plays a very good role in improving their sense of acquisition and stabilizing their examination mentality. The test questions examine the basic ability of candidates to analyze and solve problems, which reflects the examination of core literacy and key ability; At the same time, the situation of the test questions is contemporary and has positive educational significance for candidates.
Rational thinking is the core of mathematical literacy. In 2020, the National Mathematics Volume II of the College Entrance Examination unified the key abilities of mathematics with rational thinking, mathematical application, mathematical inquiry and mathematical culture on the main line of rational thinking, highlighting the examination of rational thinking and key abilities. Science topic 16 sets four propositions according to the basic knowledge of solid geometry, and constructs four compound propositions with simple logical conjunctions, requiring candidates to judge whether these compound propositions are true or false. The test questions organically combine the problems of solid geometry with logical propositions. Candidates must intuitively imagine the relevant figures from the information in the questions, correctly use the knowledge and theorems they have learned to make judgments, have certain spatial imagination and logical reasoning ability, and quickly judge the truth of relevant propositions, so as to examine the candidates' mastery of solid geometry and logical knowledge in many ways and at many levels. Furthermore, the test questions require one-on-one and two-sided judgments on solid geometry propositions and compound logic propositions, and all true propositions must be selected, and they cannot be omitted or wrongly selected. A comprehensive examination of candidates' spatial imagination ability, logical thinking ability and judgment and reasoning ability puts forward new and higher requirements for the examination of rational thinking ability. Reading comprehension is a cognitive activity based on thinking, which directly affects people's ability to find and solve problems. It is not only an ability to acquire knowledge, but also an important ability to influence thinking and understanding. In mathematics reading comprehension, we should give full play to the role of logic and intuition, so as to enhance the understanding and thinking of problems. In 2020, the second volume of the national college entrance examination for mathematics strengthened the examination of mathematics reading comprehension ability. Science 12 questions are based on the autocorrelation of periodic sequences, and it is required to judge whether the four periodic sequences given in the questions meet the conditions of the questions. Candidates need to read, quickly extract useful information, correctly understand new concepts and apply them. This question examines the examinee's reading comprehension ability, as well as the ability to acquire new knowledge and explore new problems through reading, which embodies the concept and spirit of the new curriculum reform and has a positive guiding role in cultivating students' innovative application consciousness.
The second volume of the national volume is based on the achievements of China's socialist construction, and uses mathematical knowledge and methods to examine the literacy of logical reasoning, mathematical modeling, data analysis and other disciplines. The question of Arts & Sciences 18 is designed with desert control as the background, and examines the data processing ability and the ability to analyze and solve practical problems of candidates. The first question is to estimate the number of some wild animals in the whole desert area; The second question examines the examinee's understanding and application of the statistical significance of correlation coefficient-through calculation, it can be found that the plant coverage area is closely related to the number of wild animals, indicating that the improvement of the environment is beneficial to biodiversity; The third question requires candidates to give a more reasonable sampling method to obtain a more accurate estimate of the number of this wild animal in this area. Desert control is a long-term and arduous task in China, and the control effect can be reflected by vegetation status and biodiversity. The problems thus designed have certain practical significance and application background, and can also be solved by middle school knowledge. Candidates can appreciate the role of statistics in solving problems and improve their interest in learning mathematics.
Good aesthetic quality helps to cultivate a positive attitude towards life. The fourth question of science, according to the calculation of the number of slabs laid on the dome of the Temple of Heaven in Beijing, designs a series of figures. The title reflects the brilliant achievements of ancient civilization in China, and at the same time shows the traditional culture of our country-the unity of heaven and earth, heaven and man, so that candidates can appreciate mathematics in architectural art and aesthetics in mathematics; The third question of liberal arts gives the definitions of piano in-situ major triad and in-situ chord with the help of mathematical language, and designs simple counting questions to examine the examinee's learning ability of new definitions and new situations, and to analyze the problem ability and mathematical literacy. Through these questions, students can broaden their horizons, feel the beauty in life and mathematics, and cultivate the consciousness of mathematics application in the process of applying mathematics knowledge to solve life problems.
In 2020, the National Mathematics Volume II of the College Entrance Examination insists on moral education, advocates five educations, implements the requirements of quality education, adheres to the core value of the college entrance examination, pays attention to the educational value of mathematics culture, highlights the characteristics of mathematics disciplines, and pays attention to examining the rational thinking ability of candidates. It reflects the positive role of the mathematics college entrance examination in deepening the curriculum reform in middle schools and improving the quality of education.