2005 Middle School Entrance Exam Top Scorer's Guide to Common Mistakes · Mathematics

Author: Zhang Yiqun
Publisher:
Publish Date: 2004-09-01
Features: This book is a compilation of the (essence) of "" (Common Mistake Collections) from top high schools across China, including Beizhong High School, Renmin University High School, Huanggang High School, Hunan Normal University High School, Hangzhou Xuejun High School, Jiangsu Qidong High School, and Tianjin Nankai High School. The contributors are all senior and advanced-level teachers from these top schools. The book uses typical example problems for analysis and explanation, aiming to achieve the goal of broadening understanding, mastering knowledge, and developing skills. It can guide students in their final exam preparation while also helping them conduct a systematic and comprehensive review. It serves both the purpose of quick review and provides students with the meticulous guidance of their teachers. The book is suitable for students taking the 2004 (Junior High School Entrance Examination) as well as for first and second-year junior high students for regular practice and exam preparation. It is a condensed (essence) of the numerous "" (Common Mistake Collections) created by these top students, pioneering a new type of question collection in China. It has the following notable features:
1. Top Student Experience, Targeted Approach. The book compiles the exam review experiences and test-taking secrets of top students from various provinces in the (Junior High School Entrance Examination). It not only summarizes the key methods of these top students' pre-exam preparation but also includes numerous examples, high-quality problems, and problem-solving techniques. This helps students follow in their footsteps from the beginning of their junior high school third year, avoiding unnecessary detours, dead ends, and risky paths.
2. Closely Aligned with Exam Syllabus, Focusing on Hot Topics. All problems in the book cover all key points in the exam syllabus and fully reflect the syllabus's requirements for the ability levels of each point. It provides students with a systematic, comprehensive, and scientific knowledge network and review essentials. It reflects the latest features of recent exam reforms, captures the latest trends in exam question setting, and selects novel, typical, and well-chosen question types, enabling students to accurately grasp what to expect and what they must master.
3. Rich Content, Strongly Targeted. Most multiple-choice and fill-in-the-blank questions not only provide answers but also include detailed analysis. For these problem-solving questions, there is a concise "" (In-depth Analysis) before the detailed calculation and reasoning process, followed by a "" (Explanation) afterward. The "" guides problem-solving strategies and stimulates thinking, while the "" highlights key points, difficulties, and common mistakes. The highly targeted and precise approach helps readers generalize and significantly shorten the process of transforming knowledge into skills.
4. Comprehensive Types, Novel Forms. Most problems come from the "" (Common Mistake Collections) of top students, while the rest are selected from excellent mock exams and classic or innovative problems published in various newspapers and magazines. Therefore, the book includes a wide variety of question types. For some frequently tested conventional problems, the editors have re-pakaged them in terms of problem context, phrasing, and style, giving them a fresh and modern feel.
5. Flexible Solutions, Generalizing from Examples. Many problems in the book list multiple solutions, including both standard methods and the editors' unique special methods. Standard methods may not always be the shortest but are generally applicable; special methods are clever but not universally applicable, each with its own strengths. By presenting both types of solutions side by side, readers can broaden their perspectives and gain insights. Through practice with various solutions, students can master the patterns and techniques for solving common types of problems, generalize from examples, apply knowledge flexibly, and develop the comprehensive skills needed for exam success.