Five abilities are often tested in the college entrance examination mathematics: basic knowledge and basic skills of mathematics, logical reasoning ability, computing ability, spatial imagination ability, and mathematical application and exploration ability.

2025/06/0201:11:34 education 1986

The college entrance examination mathematics often tests five abilities: basic knowledge and basic skills of mathematics, logical reasoning ability, computing ability, spatial imagination ability, and mathematical application and exploration ability.

There are five requirements for the ability to apply mathematics to inquiry:

(1) Use basic knowledge, basic skills, mathematical thoughts methods and appropriate problem-solving strategies to solve related mathematical problems;

(2) By establishing mathematical models, solve problems in social life and production, and can explain their practical significance;

(3) can independently learn some new mathematical knowledge and methods, and can apply them initially;

(4) can discover and raise questions based on existing knowledge and experience;

(5) can use relevant mathematical thoughts and methods to explore problems, and can correctly express the process and results. Therefore, in college entrance examination mathematics, various new definition problems are common and are also "frequently" of the final problems of the college entrance examination. According to the different types of new definitions, they can be divided into the following types: new definition problems in the set, new definition problems in function , new definition problems in sequence, and new definition problems in analytical geometry.

This issue mainly explains the "new definition" problem in sequences. The new definition problem in sequences mainly focuses on the comprehensive application of arithmetic, equality, recursive formulas and summing formulas. It requires a certain degree of mastery of common methods of finding general terms and summing, and the properties of sequences. It also involves the comprehensive application of sequences and functions, sequences and analytical geometry, sequences and binomial theorems, sequences and arrangement and combination , etc. When reviewing, it is necessary to review the properties of functions, common conclusions of analytical geometry, assignment methods of binomials, and expansion and merging formulas of arrangement and combination.

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