1. Review comprehensively, highlight key points, and attach importance to revealing and understanding the internal relations between various parts of knowledge.
Comprehensiveness is an important feature of mathematics college entrance examination questions, and the internal relationship between knowledge is the basis of comprehensiveness.
The first stage of senior high school mathematics general review is to systematically review the basic knowledge, correctly understand mathematical concepts, form the memory of mathematical axioms, theorems, formulas and rules, and master all basic mathematical skills (calculation, transformation, drawing, etc.). However, systematic review is by no means a simple reproduction. The difference between review and new lesson is that it is not restricted by previous knowledge to later study. Therefore, we should pay attention to the vertical and horizontal relationship between knowledge.
For the knowledge backbone that forms the discipline system, such as functions and equations, inequalities and sequences in algebra; Basic functions, basic formulas and basic transformations in triangles; The positional relationship of lines, lines and surfaces in solid geometry in space, and the calculation of related geometric quantities (angle, distance, area and volume); Analyze curves and equations, straight lines, conic curves, etc. In analytic geometry, we should try our best to understand the internal relations, such as the functions, equations and inequalities analyzed earlier; Function and sequence; To have a deeper understanding of the network structure of knowledge such as function images and equation curves, we should analyze some typical examples, especially the mathematics college entrance examination questions in recent years.
For non-key content, the college entrance examination only does general examination, mainly examining the "three basics", and the comprehensive requirements are not very high.
2. Pay attention to the understanding and mastery of mathematical thinking methods.
General mathematical methods (such as collocation method, method of substitution, elimination method, filling and excavation method, undetermined coefficient method, mathematical induction method, etc.). ) Their functions and operation methods should be clearly defined.
For general logical methods (such as analysis, synthesis, induction, analogy, reduction to absurdity, exhaustive method, etc. ), its rules and functions should be clear.
Mathematical thinking methods (function and equation, combination of numbers and shapes, classified discussion, transformation and transformation, movement and transformation, etc.). ) should be combined with mathematical knowledge to refine, so as to grasp its essence and guide thinking and solving problems.
The understanding and application of mathematical thinking methods should combine mathematical knowledge and skills, attach importance to general methods and downplay special skills.
3. With thinking ability as the core, to comprehensively improve the level of mathematics ability, it is necessary to carry out all-round comprehensive training of "understanding, knowing, being right, being fast and being good" and overcome the tendency of only wanting to do and being satisfied with one stroke and one style. There are a lot of questions in the college entrance examination mathematics paper, and the examination time is very tight. Speed is an important factor to improve performance. The key to improve the speed of solving problems is to choose reasonable and simple methods and consciously strengthen the training of solving problems.
4. Pay attention to the training of basic mathematics skills.
Calculate and convert according to formulas and rules; Reasoning and proving according to axioms, theorems and logical rules; Collect and process all kinds of data; Identify and process various graphics; Read and understand the material stated in the question; Correctly express the process of analyzing and solving problems in mathematical language. , are the basic skills of mathematics. In the process of solving problems, it is also the basic skills of mathematics to examine the meaning of the questions, design ideas, reasoning and calculus, correct expression and effective test. Any aspect, any link of the lack or mistakes, will directly affect the analysis and solution of the problem. In recent years, the basic skills of candidates have not reached the required level, which has become one of the main reasons for losing points. Paying attention to the training of basic mathematics skills is one of the main tasks of general review, a necessary condition for implementing the requirements of "understanding, knowing, being right, being fast and being good" and an important content for improving mathematics quality.