In order to better grasp the direction of college entrance examination review, teachers should guide candidates to seriously study the curriculum standards and exam instructions, clarify the exam requirements and proposition requirements, and be familiar with the focus and scope of the exam, as well as the structure and characteristics of the college entrance examination mathematics questions. Based on the teaching materials and syllabus, we should review the key contents that support the subject knowledge system, highlight the ability-based proposition guiding ideology, pay attention to examining mathematical thoughts, and promote the development of mathematical rational thinking ability.
Second, attach importance to teaching materials and emphasize the foundation.
In recent years, college entrance examination mathematics problems adhere to the proposition direction that new problems are not difficult and difficult problems are not strange. Focusing on the examination of general law, some college entrance examination questions can be found in textbooks. Although there is not much review time left, we should pay attention to returning to the textbook. Only by thoroughly understanding the examples in the textbook, the mathematical knowledge and problem-solving methods covered in the exercises, can we change with the same. For example, there is an example in Mathematics of Senior Two (Volume II): Use the slope of the midpoint of the parallel chord in the ellipse to find the trajectory equation. The knowledge points and methods involved in this question appeared many times in the finale of the college entrance examination in the spring of 2005, the autumn of 2007 and the autumn of 20 10. Strengthen the examination of basic knowledge, especially the key knowledge; Attach importance to the multiple connections of mathematical knowledge, pay equal attention to foundation and ability, and put forward propositions at the "intersection" of knowledge; Pay attention to the transfer of knowledge, low starting point, high positioning, strict requirements, step by step.
Some topics stipulate a relationship between two real numbers, called "approximation", which gradually increases the difficulty by asking questions step by step, giving students a sense of closeness to the familiar binary mean inequality and trigonometric function. The main property of absolute inequality, average inequality and trigonometric function is proper covering. Pay attention to the accumulation of data, the induction of various questions and methods, and the summary of possible reasons for losing points. At the same time, combined with the review content, guide students to plan, standardize, reflect and evaluate the review process themselves, and improve their autonomous learning ability.
Third, break through difficulties and pay attention to hot spots.
On the basis of comprehensive and systematic knowledge of textbooks, the second round of review should be focused. It should be emphasized that guessing the bet is not feasible, but it is absolutely necessary to analyze, ponder, strengthen and change the focus. Candidates should not only pay attention to the contents of papers that have changed over the years, but also pay attention to the unchangeable contents, because the unchangeable contents are the essence, which are in the core and backbone position in the examination, and should be listed as the focus of review. It is emphasized that the investigation of the backbone is the basic measure and means to ensure the fairness of the examination. At the same time, we should also pay attention to the hot issues related to mathematics in scientific research, production and life, and be able to simply analyze and summarize what we have learned, which is of great benefit to improving our ability to learn and use knowledge flexibly.