Traditional Culture Encyclopedia - Traditional virtues - Mathematics compulsory questions and answering skills in 2022 college entrance examination
Mathematics compulsory questions and answering skills in 2022 college entrance examination
1, the idea of function and equation
The idea of function means to analyze and study the quantitative relationship in mathematics from the viewpoint of motion change, and to analyze, transform and solve problems by establishing the functional relationship and using the image and nature of the function; The idea of equation is to solve the problem by transforming the problem into an equation or inequality model with mathematical language from the quantitative relationship of the problem. Students can use the idea of transformation to realize the mutual transformation between functions and equations when solving problems.
2. The combination of numbers and shapes.
The object of middle school mathematics research can be divided into two parts, one is number, the other is shape, but there is a connection between number and shape, which is called combination of number and shape or combination of shape and number. It is not only a "magic weapon" to find the breakthrough point of solving problems, but also a "good prescription" to optimize the way of solving problems. Therefore, it is suggested that students draw as many pictures as possible when solving math problems, so as to help students understand the meaning of the problems accurately and solve them quickly.
3, special and general ideas
This way of thinking is sometimes particularly effective in solving multiple-choice questions, because when a proposition is established in a general sense, it is bound to be established in its special circumstances. According to this, students can directly determine the accurate options in multiple-choice questions. Not only that, it is also useful to explore the problem-solving strategies of subjective questions with this way of thinking.
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