First, build a knowledge network, design college entrance examination questions, pay attention to the integration of mathematical knowledge and the internal relationship of knowledge, and pay special attention to the design of questions at the intersection of knowledge networks. Knowledge points are still isolated in our ideology. The process of two rounds of review is a process of deepening the basic knowledge and methods of mathematics. It is necessary to know and understand the essential relationship of mathematical knowledge, so as to classify, summarize and synthesize it and form a systematic, orderly and clear knowledge structure system. In this way, when solving problems, we can extract relevant knowledge points according to the information provided by the topic, organically combine them, and explore the ideas and methods of solving problems.
1. Seven main pieces of knowledge
(1) function and derivative (and its application); (2) Inequality (solution, proof and application) will not be put forward separately, but often appears in the form of tools, such as finding the range and comparing the size. ); (3) Sequence (and its application); (4) trigonometric functions (images, properties and transformations); (5) Straight lines and planes and simple geometry (calculation of three angles and seven distances in space (the distance between points and planes and straight lines in different planes are common tests), area and volume); (6) Straight lines and conic curves; (7) Probability statistics (expectation, variance and normal distribution estimation in science).
2. Master four mathematical thinking methods.
The rational thinking method of mastering mathematical knowledge is clearly embodied in the four major mathematical thinking methods. The four mathematical thinking methods are: ① the thought of function and equation; (2) the idea of combining number with type; ③ The idea of classified discussion; (4) the idea of reduction or transformation permeates the problem to think and comment.
3. Pay attention to the guidance of learning the law-grasp the four three.
① We should fully understand three aspects in content: theory, method and thinking;
② Three words should be grasped in solving problems: number, shape and shape;
(3) Reading, examination and expression should realize the free conversion of three mathematics languages (written language, symbolic language and graphic language);
④ Three lines should be mastered in learning: knowledge (structure) is a bright line (to be clear); Method (ability) is a hidden line (to be understood and refined); Thinking (practice) is the main thread (thinking ability is the core of mathematical ability, creative thinking ability is the most powerful driving force for innovation, and it is the touchstone to test the development of a person's brain potential. )