National Gold Medal A-Level Competition Textbook. Grade 7. Mathematics

Author: Xiang Zhaoyi, Editor-in-Chief
Publisher:
Publish Date: 2005-03-01
Features: The "Olympic Subject Competitions for Primary and Secondary Schools" series consists of over 200 varieties, including textbook series, introductory textbooks, practice papers, mock exam papers, intensive textbooks, classic problem-solving series, weekly tests, question compilations, and multi-solution problem-solving series. This series is organized by the Editorial Department of Primary and Secondary School Subject Olympiads and is a research outcome of the Beijing Step-by-Step Quality Education Research Institute. Since its publication by the Olympic Press, it has stood out uniquely and is deeply loved by teachers, parents, and students. After significant revisions, re-editions, or rewrites, it has been renamed as "Golden Medal Olympiads" and "Golden Medal Schools," and is now re-published and distributed by Jinghua Publishing House. On this occasion of the re-publication, sincere thanks are extended to millions of readers across the country. Primary and Secondary School Subject Olympiads (briefly referred to as "Subject Olympiads") are one of the most extensive, widely participated, and influential subject competition activities for primary and secondary school students in China. Subject Olympiads are derived from the International Mathematical Olympiad (IMO), the International Physics Olympiad (IPHO), the International Chemistry Olympiad (ICHO), and other internationally influential middle school subject competitions that attract millions of young students every year. The reason for such widespread attention lies in the strong innovation, flexibility, comprehensiveness of Olympiads, as well as their focus on cultivating students' exploration skills and inspiring their innovative awareness—qualities that are precisely at the core of quality education. This is also the need for future development. Based on years of careful research on this activity both domestically and internationally, as well as a large number of outstanding books in this category, the Editorial Department of Primary and Secondary School Subject Olympiads has invited outstanding educators dedicated to this field from all over the country to compile and publish a series of books on mathematics, Chinese, English, physics, chemistry, biology, and information technology—comprising over 200 varieties. In terms of the variety, quantity, and quality of our Olympiad books, they are considered the most influential among peers both domestically and internationally and hold the greatest charm in the hearts of primary and secondary school teachers and students. The purpose and characteristics of the "Golden Medal Olympiads" and "Golden Medal Schools" series are as follows:
1. High: Derived from textbooks but exceeding them. Derived from textbooks means referencing the latest [curriculum standards] issued by the Ministry of Education; exceeding them means closely aligning with competition syllabi at all levels, ensuring comprehensive alignment in content, question types, and skill requirements, thereby fostering interest, developing intelligence, and enhancing abilities.
2. Accurate: Scientifically precise with a well-structured design. Each book is designed according to the characteristics of the subject, scientifically organized, and follows a progressive approach, providing in-depth yet accessible analysis and teaching comprehensive and detailed problem-solving methods.
3. Novel: Features unique and engaging question types. It compiles the essence of recent Olympiad, middle school, and high school exam questions from both China and abroad, representing the highest level of current Olympiad standards and reflecting new concepts in curriculum reform, as well as innovative ideas, methods, and trends in competition question-setting.
4. Exquisite: Selects representative examples that are challenging yet logical, flexible, and achievable. Emphasizes the ability to generalize from specific cases and apply knowledge to different contexts; focuses on multi-solution, multi-variable, and multi-question approaches to problems; and prioritizes the training of thinking skills without resorting to rote memorization, making learning an interest and hobby.
5. Renowned: Gathered by famous teachers and collected from top competitions. The Editorial Department of Primary and Secondary School Subject Olympiads has invited distinguished professors from renowned universities, elite teachers from key secondary schools, senior teachers, subject leaders, and famous Olympiad medal coaches to co-author these books.
6. Comprehensive: The series includes the following 12 sets, totaling over 200 varieties:
1. Golden Medal Olympiad Entrance Textbooks (ABC Editions)—2 pre-school textbooks, 2 lower-grade textbooks, and 2 lower-grade ABC editions. Richly illustrated and educational, designed to cultivate interest and intuition in mathematics for pre-school and lower-grade students, guiding them into the magical world of mathematics.
2. Golden Medal Olympiad Textbooks (General Edition)—8 textbooks on primary school Chinese and mathematics, and 12 textbooks on junior high school mathematics, physics, chemistry, Chinese, and English. This series combines the commonalities of the new curriculum standards, traditional textbooks, and Olympiads while catering to students with special talents. The book is divided into sections such as key knowledge points, example analysis, thought analysis, typical exercises, and answer hints.
3. Golden Medal Olympiad ABC Editions—8 textbooks on primary school Chinese and mathematics, and 12 textbooks on junior high school mathematics, physics, chemistry, Chinese, and English. Based on the Golden Medal Olympiad Textbooks, these books provide testing materials for students. The book is divided into three types of tests (A, B, and C), ranging from easy to difficult, allowing students of different levels to choose targeted training.
4. Golden Medal Olympiad Mock Exam Papers—4 primary school mathematics textbooks and 12 junior high school mathematics, physics, chemistry, Chinese, and English textbooks. Part of the Golden Medal Olympiad Textbooks series, these are comprehensive training papers simulating real competitions.
5. Golden Medal Olympiad Question Compilation—1 primary school mathematics textbook and 4 junior high school mathematics, physics, and chemistry textbooks. A series recording the history of national primary and secondary school competitions over the past five years, documenting the glorious achievements of subject education, celebrating the collective wisdom of teachers, and showcasing the talents of students across the country.
6. Golden Medal Olympiad Hot Topic Question Classification and Solutions—2 primary school mathematics and informatics textbooks, and 12 junior high and high school mathematics, physics, chemistry, Chinese, biology, and informatics textbooks. This series selects recent hot topic questions from Olympiads, organizes them by chapter and knowledge point, and provides detailed explanations, making it very convenient for students to study.
7. Golden Medal Exam Hot Topic Question Solutions (tentative title)—12 junior high and high school mathematics, physics, chemistry, Chinese, English, and biology textbooks. This series compiles the exam papers of 10 key education provinces in the past five years, categorizing them by subject and knowledge point, and providing detailed answers. The book is divided into sections such as junior high and high school knowledge point explanations, hot topic question analysis, summary of rules, and mock training.
8. Golden Medal Olympiad 100-Victory Textbooks (Advanced Edition)—8 primary school mathematics and Chinese textbooks, and 12 junior high and high school mathematics, physics, chemistry, Chinese, and English textbooks. Based on the content order of the new textbooks from the People's Education Press, these books are compiled by subject and unit. The book is divided into sections such as key knowledge points and extended exploration, problem-solving skills, example interpretation, and pre-competition intensive training, suitable for pre-competition training and students with surplus learning capacity, serving as an extension of classroom knowledge.
9. Golden Medal Olympiad (Golden Medal Schools) Classic Problem Solutions—4 primary school mathematics textbooks and 29 junior high and high school mathematics, physics, chemistry, Chinese, English, and biology textbooks. This series is compiled according to the content order of the People's Education Press textbooks, categorizing typical problems, junior high and high school exam questions, and difficult problems in order of difficulty.
10. Golden Medal Olympiad Weekly Tests—12 primary school mathematics, Chinese, and English textbooks, 15 junior high school mathematics, physics, chemistry, Chinese, English, and biology textbooks, and 17 high school mathematics, physics, chemistry, Chinese, English, and biology textbooks. These books are test papers designed according to the content order of the People's Education Press textbooks, organized by knowledge points and units or weeks for testing purposes.
11. Golden Medal Olympiad Classic Problem—Multi-Solution—1 primary school mathematics volume and 4 junior high and high school mathematics and physics volumes. This series selects multi-solution problems from recent Olympiad classic questions, where "multi-solution" refers to solving problems from different perspectives and approaches, making these exercises highly skillful and engaging.
12. International Golden Medal Olympiad Question Solutions—5 volumes on mathematics, physics, chemistry, biology, and informatics. This series selects recent international competition questions by subject and arranges them chronologically, providing detailed answers. This series represents the highest level of current Olympiad standards and is considered the "highbrow" among all Olympiad books.