National Gold Medal A-Level Entrance Textbook. Grade 1. Mathematics

Author: Xiang Zhaoyi
Publisher:
Publish Date: 2005-03-01
Features: The "Olympic Series" for Primary and Secondary School Subjects is divided into 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 series. This series is compiled 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 and is deeply loved by teachers, parents, and students. After significant revisions, re-editions, or complete rewrites, it has been renamed "Gold Medal Olympiad" and "Gold Medal School" series and re-published by Jinghua Publishing House. On this occasion of the re-publication, we extend our sincere gratitude to millions of readers across the country.
The Primary and Secondary School Subject Olympiad (briefly referred to as Subject Olympiad) is a subject competition for primary and secondary school students in China that covers the widest scope, attracts the largest number of participants, and has the greatest influence. Subject Olympiads are derived from and extended from the International Mathematical Olympiad (IMO), the International Physics Olympiad (IPHO), the International Chemistry Olympiad (ICHO), and other internationally influential subject competitions for secondary school students, which attract millions of young students every year. The reason for such widespread attention lies in the strong innovation, flexibility, and comprehensiveness of the Olympiads, as well as their focus on cultivating students' exploration skills and inspiring their innovative awareness. These are precisely the core elements of quality education, which are also essential for future development.
Based on years of in-depth 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 the Gold Medal Olympiad and Gold Medal School, covering seven subjects—mathematics, Chinese, English, physics, chemistry, biology, and information science—with over 200 varieties. In terms of the variety, quantity, and quality of our Olympiad books, they are considered the most influential in the industry both domestically and internationally and are the most appealing to primary and secondary school teachers and students.
The purpose and characteristics of the Gold Medal Olympiad and Gold Medal School 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 textbooks means closely aligning with the competition syllabi of various levels, ensuring comprehensive alignment in content, question types, and skill requirements. This cultivates interest, develops intelligence, and enhances abilities.
2. Accurate: Scientifically accurate and well-structured. Each book is designed according to the characteristics of the subject, scientifically organized, and follows a step-by-step approach, providing in-depth yet accessible analysis and comprehensive, detailed problem-solving methods.
3. Innovative: The questions are novel, unique, and engaging. They gather 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 new ideas, methods, and trends in competition question-setting.
4. Selective: Carefully selected examples that are challenging yet not obscure, flexible, and achievable. The focus is on generalizing from one example to many, promoting cross-application of knowledge; emphasizing multi-solution, multi-variable, and multi-question approaches to a single problem; and prioritizing the training of thinking skills rather than rote memorization, making learning an interest and hobby.
5. Renowned: A gathering of famous teachers and a collection of prestigious competitions. The Editorial Department of Primary and Secondary School Subject Olympiads has invited distinguished professors from prestigious universities, special-grade teachers, senior teachers, subject leaders, and renowned Olympic medal coaches to co-author these books.
6. Comprehensive: The series includes the following 12 sets, totaling over 200 varieties:
1. "Gold Medal Olympiad Introductory Textbook for Primary School Mathematics (ABC Edition)": Includes 2 pre-school textbooks and 2 textbooks for lower grades, along with 2 ABC editions. Illustrated and engaging, designed to cultivate interest and intuition in mathematics for pre-school and lower-grade students, guiding them into the magical world of mathematics.
2. "Gold Medal Olympiad Textbook" (General Edition): 8 volumes of primary school Chinese and mathematics, and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. This series combines the commonalities of the new curriculum standards, old textbooks, and Olympiads while catering to students with special talents. Each book is divided into sections such as key knowledge points, example analysis, thought analysis, typical exercises, and answer hints.
3. "Gold Medal Olympiad ABC Edition": 8 volumes of primary school Chinese and mathematics, and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. Based on the "Gold Medal Olympiad Textbook," this series provides testing for students. Each book includes A, B, and C versions of tests, ranging from easy to difficult, allowing students of different levels to choose targeted practice.
4. "Gold Medal Olympiad Mock Exam Papers": 4 volumes of primary school mathematics and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. Part of the "Gold Medal Olympiad Textbook" series, these are comprehensive training papers simulating real competitions.
5. "Gold Medal Olympiad Question Compilation": 1 volume of primary school mathematics and 4 volumes of junior high school mathematics, physics, and English. A series recording the history of national primary and secondary school competitions over the past five years, documenting the glorious achievements of subject education, praising the collective wisdom of teachers, and showcasing the talents of students across the country.
6. "Gold Medal Olympiad Hot Topic Question Classification and Solution": 2 volumes of primary school mathematics and informatics, and 12 volumes of junior high and high school mathematics, physics, chemistry, English, biology, and informatics. 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. "Gold Medal Exam Hot Topic Question Full Solution" (tentative title): 12 volumes of junior high and high school mathematics, physics, chemistry, Chinese, English, and biology. This series compiles the exam papers of 10 key provinces in China for the past five years, categorizing them by subject and knowledge point with detailed solutions. Each book includes sections on junior high and high school knowledge point explanations, hot topic question analysis, summary of patterns, and mock training.
8. "Gold Medal Olympiad 100-Victory Textbook" (Advanced Edition): 8 volumes of primary school mathematics and Chinese, and 12 volumes of junior high school mathematics, physics, chemistry, Chinese, and English. This book follows the content order of the new textbooks from the People's Education Press, organized by subject and unit. Each book includes sections on 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. "Gold Medal Olympiad (Gold Medal School) Classic Problem Solutions": 4 volumes of primary school mathematics and 29 volumes of junior high and high school mathematics, physics, chemistry, Chinese, English, and biology. This series follows the content order of the People's Education Press textbooks, organizing typical exercises, junior high and high school exam questions, and difficult questions by subject and chapter in order of difficulty.
10. "Gold Medal Olympiad Weekly Tests": 12 volumes of primary school mathematics, Chinese, and English; 15 volumes of junior high school mathematics, physics, chemistry, Chinese, English, and biology; and 17 volumes of high school mathematics, physics, chemistry, Chinese, English, and biology. This series follows the content order of the People's Education Press textbooks, organizing tests by knowledge point and unit or weekly for use in assessments.
11. "Gold Medal Olympiad Classic Problem—Multi-Solution": 1 volume of primary school mathematics and 4 volumes of junior high and high school mathematics and physics. This series selects multi-solution problems from recent Olympiad classic questions. A multi-solution problem refers to solving a problem from multiple perspectives and approaches, making these exercises highly skillful and engaging.
12. "International Gold Medal Olympiad Question Solutions": 5 volumes covering mathematics, physics, chemistry, biology, and informatics. This series compiles recent international competition questions by subject and year, providing detailed solutions. This series represents the highest level of current Olympiads and is considered the "highbrow" among all Olympiad books.