Advances in International Applied Mathematics

Expansion and contraction method is an important and difficult method in high school mathematics. It is often encountered in the derivative closing questions of college entrance examination, especially the comprehensive questions combined with inequalities. Proper shrinkage method will bring unexpected surprises to the solution of the problem, and shrinkage method is also an important mathematical idea. The new college entrance examination attaches great importance to the examination of the core quality of mathematics, while the reduction method bears the ability of reasoning and argumentation, which belongs to the core quality of logical reasoning [1], which makes it become one of the hot topics of proposition and attracts much attention. This paper studies the 2023 college entrance examination mathematics questions, found that derivative questions concise and bright, easy to start, but difficult to do, not only to examine the basic knowledge, basic methods and ideas, but also highlight the innovative and rational thinking, and the turning point of the topic is basically in the reduction method, the following will be detailed to explain the reduction method in the college entrance examination questions can always play a vital role in linking the preceding and the following.

Expansion and contraction method; College entrance examination mathematics; Problem application