Looking at the college entrance examination questions, the emphasis is on foundation and innovation: Sichuan college entrance examination questions have increased the examination of innovation ability and mathematical thinking methods on the basis of continuing the characteristics of propositions in the past few years. It has remained relatively stable in the types of questions, the amount of questions and the difficulty, avoiding ups and downs. Fill-in-the-blank questions should be concise, focusing on the basis of examination, such as science questions 1, 2, 3, 4, 5, 7 and 8, which are directly from textbook exercises or adaptations to facilitate intermediate students to answer quickly; The test questions are close to life, such as 12, which examines logarithm with the food problem in life as the background, and 17, which examines the application of probability statistics with the debate as the background; Compared with previous years, the order of solving problems is changed, which is sequence, probability statistics, solid geometry, trigonometry, analytic geometry and function derivative. This change may make most students unprepared. At the same time, moderately strengthen the connection and integration between different modules. For example, the big problem of series combines the application of series and inequality, which strengthens the examination of comprehensive ability.
Knowledge module function and derivative plane vector and trigonometric function sequence and inequality solid geometry analytic geometric counting principle and probability statistics total 2013 24 27171817120 2014 29 2. 7 17 17 23 12 125 20 15 29 27 12 17 23 17 125
As can be seen from the above table, the mathematics test questions in Sichuan college entrance examination pay great attention to the key examination of the main knowledge of the subject.
2. Knowledge materials and situations are innovative, focusing on exploration.
At the same time, some test questions are more innovative than in previous years in terms of material selection, scenario setting and questioning methods. To examine students' awareness of inquiry, application and innovation, such as 10 and 20 questions, candidates need to design scenarios according to the questions, from special to general, from image to abstraction, and explore from different aspects. 2 1 The topic also examines students' awareness of application and innovation, so as to comprehensively and flexibly use the learned mathematical knowledge and ideas.
On the whole, there is a big gap between the style of proposition and previous years. This question requires students to have the ability to explore and guess, first find out the point through a special straight line, and then prove it. And pay more attention to the comprehensive examination of algebra and geometry. If we can find that this proportional relationship is the theorem of angular bisector, it will be quite easy to solve. This change in problem-solving thinking may be difficult for many candidates to adapt to.
The problem of 2 1 embodies the abstraction and scientificity of mathematics, which is similar to the previous problem. It examines the second derivative and discusses it in categories. When answering questions, candidates need to use images to intuitively discover the ideas and conclusions of solving problems and prove them with strict logical reasoning. The whole answering process has gone through the process of "drawing, observing, exploring, discovering and proving". These questions are novel in conception, profound in background and vivid in scene.
In a word, Sichuan college entrance examination mathematics questions fully consider the characteristics of Sichuan candidates, closely follow the examination syllabus, base on the teaching materials, pay attention to the ability to examine, pursue the sense of innovation while examining the basic knowledge, never look at it, and pay special attention to the inquiry in the process of mathematics learning. The layout of the test paper is reasonable and difficult, with a certain degree of discrimination. It can be called a high-quality test paper, which has a good role in promoting curriculum reform.
Finally, the College Entrance Examination Research Center wishes college entrance examination students to achieve excellent results and be admitted to an ideal university. At the same time, for students who are fighting for the college entrance examination, they begin to prepare for a round of review in the summer vacation. I wish the new senior three students can experience the storm of senior three, lay a solid foundation for the college entrance examination this summer and achieve ideal results in the college entrance examination.
Zhao: Mathematics researcher, College Entrance Examination Research Center. The math score of the college entrance examination143,665 was admitted to Peking University. The monitor took the teacher away. Enthusiastic and interesting class, clear thinking, good at explaining high school mathematics in simple language.
Chen Yu: Mathematics researcher at the Research Center for Learning and Thinking in College Entrance Examination, the first prize of senior high school mathematics league, was admitted to the Department of Mathematics in Peking University.