1, multiple-choice question: **30 small questions, 3 points for each small question, ***90 points. This paper mainly investigates the understanding and application ability of basic knowledge such as logarithm, trigonometric function, plane vector, analytic geometry and derivative.
2. Non-multiple choice questions: * * 10 big questions, ***60 points. It mainly examines application questions and proof questions, and candidates need to comprehensively analyze and solve problems with what they have learned.
Among them, the application problems mainly involve the following aspects:
(1) series and mathematical induction: including arithmetic progression, geometric progression, Fibonacci series and other related problems, such as finding the sum of the first n terms, the general term formula, the recursive formula, the minimum value and the maximum value;
(2) Probability statistics: including probability calculation, expected value, variance, distribution function, hypothesis testing, etc.
(3) Trigonometric functions: including the properties of trigonometric functions, inverse trigonometric functions, trigonometric equations and other related issues;
(4) Function: including the concepts of limit, continuity and derivability of functions and their specific applications;
(5) Plane vector: including the basic operation, scalar product, cross product, projection and other related issues of plane vector.
It should be noted that the new college entrance examination questions not only pay attention to the examination of basic knowledge, but also pay more attention to students' ability to solve problems and innovative thinking by comprehensively applying mathematical knowledge. Therefore, candidates should not only firmly grasp the basic knowledge, but also pay attention to their usual practice and thinking, so as to improve their problem-solving ability and innovative thinking.