On the afternoon of June 18, 2023, the mathematics subject of Shanghai senior high school entrance examination was successfully concluded. The test paper is stable in structure, type and quantity. The overall difficulty of the test paper is above average, highlighting the examination of basic knowledge, basic skills and basic mathematical thinking methods, and paying attention to the examination of problem analysis and problem solving ability. Some of the test questions are innovative, reflecting the inquiry, openness and comprehensiveness.
The examination paper pays attention to the connection between mathematical knowledge and real life. Through the ingenious situation setting, this paper examines the analysis and solving ability of candidates in real life situations, and guides candidates to observe the world with mathematical eyes and think about the real world with mathematical thinking.
For example, the 22 questions that many candidates complained about this year are a typical example. Question 22: Based on the actual scenes that gas station membership cards will encounter in life, when using membership cards to inspect candidates, the mechanism of membership card discount and gas price discount is set up (actually equal to double discount).
When solving problems, we should accurately understand the actual scene, establish equations and function models, and establish the mathematical function relationship between complex conditions and the relationship between conditions. Otherwise, we will fall into the trap of the questioner and find no breakthrough in solving problems.
Equally important, in the face of practical problems, its language description will be more active, which is very different from the direct mathematical formulas and graphics we usually encounter in practice. We need to accurately extract the effective information in the stem of the question and translate the daily description into the familiar mathematical language, otherwise it will also lead to misunderstanding and problem-solving mistakes.
The comprehensive finale of the test paper is relatively flexible, which examines the examinee's thorough understanding of knowledge connotation in complex situations, establishes the connection between knowledge and optimizes the problem-solving strategy. Students should not only pay attention to the results, but also pay attention to the process. Instead, we should ask them why they do this and what else they can do, and pay attention to the training of thinking process.
I suggest that students who are about to face the senior high school entrance examination should learn to explore actively in their studies. Don't panic when faced with unfamiliar problems. Try to think and reason with mathematical thinking, clarify the relationship in the problem, and restore the true face of the problem.
In addition, students who want to keep their math scores above 140 in the senior high school entrance examination must study the inequalities, functions, equations of straight lines and circles in senior high school mathematics in advance and be very skilled, so that they can make correct answers smoothly when they encounter 18 and 24 questions this year.