\section*{1 Emphasizing Fundamentality and Highlighting Logical Reasoning Ability}
Mathematics is an important means of cultivating rational thinking. The logical thinking inherent in mathematics, the reasoning methods taught, and the analytical abilities trained are all indispensable in the process of individual development and the construction of cognitive structures. These all reflect the role of mathematics as a foundational discipline.

The mathematics examination utilizes the characteristics of the discipline to deeply examine logical reasoning ability. In 2014, the College Entrance Examination made examining logical reasoning ability the primary task of test design, using mathematical knowledge as a vehicle. Questions examining logical reasoning ability account for more than $50\%$ of the test.

In 2014, the examination center conducted specialized research on innovative test design and developed logic questions to examine logical reasoning ability. One province each from the eastern, central, and western regions was selected for pilot testing, with high school seniors from provincial key schools, municipal key schools, and general schools sampled for testing. The test results showed that logic questions more effectively examine logical thinking ability. In post-exam discussions, students found logic questions interesting and enjoyed them very much. The questions do not depend on specific mathematical knowledge, are accessible to all examinees, and embody fairness. Teachers believed that such questions effectively examine logical thinking ability and could be introduced in future college entrance examinations.

To deeply examine logical reasoning ability, logic questions appeared for the first time in the 2014 College Entrance Examination mathematics papers. The questions presented a life-like scenario of three students discussing city tourism. Through dialogue among students A, B, and C, relevant information was provided, requiring examinees to accurately extract useful information from textual descriptions (dialogue), utilize the logical relationships within, conduct rigorous logical reasoning, and ultimately make correct judgments, reflecting the direction of college entrance examination reform.

Example 1: Three students A, B, and C are asked whether they have visited cities A, B, and C.

\begin{displayquote}
A says: I have visited more cities than B, but I have not visited City B;\\
B says: I have not visited City C;\\
C says: We three have visited the same city.
\end{displayquote}

From this, it can be determined that B has visited the city/cities of $\_\_\_\_$.\\
After the examination, examinees and teachers responded enthusiastically to the logic questions, believing that such questions effectively examined students' logical reasoning and judgment ability by embedding logic problems in vivid dialogue contexts. The questions were novel and engaging, with plain and easy-to-understand language, close to life, and of practical significance, reflecting the idea that mathematics originates from life. The questions help increase students' interest in learning mathematics and provide good guidance for cultivating students' logical thinking ability in middle school teaching and enhancing students' ability to solve practical problems. They reflect the New Curriculum Standard's emphasis on stimulating students' learning interest from practice, valuing independent learning, and combining theory with practice.