High School Mathematics: Elective 1-1

杨宇光Peking University Press · ChinaAug 2025

Rating 3.5
Word count
85K words
Chapters
35
ISBN
9787301138922

Tags

Examinations Step-by-Step GuideExam PreparationExam SkillsSelf-Study GuideStudent Reading

Summary

This textbook series is a Dalian municipal local textbook compiled by the Dalian Municipal Education Bureau and the Dalian Education College (Teaching and Research Office). In response to the current coexistence of multiple editions of new curriculum standard textbooks, it takes the new curriculum standards as its overall outline and integrates the main editions of new curriculum standard textbooks currently used in China. It is closely tied to the college entrance examination and designed to serve it, and is written in line with the synchronized plan of daily teaching. Using this textbook can replace the textbook and all supplementary materials, reducing students' burden while improving learning quality, and it is well received by students and teachers. The high school mathematics volumes in this series (9 in total) were used in the form of lecture notes for one year in two middle schools in Dalian and were highly praised. The Dalian Municipal Education Bureau therefore decided to formally publish this textbook and begin piloting it in more schools in the city in autumn 2008, gradually extending it citywide thereafter. In 2008, 5,000 sets were sold on an exclusive basis.

Editor's review

This local textbook takes the new curriculum standards as its overall outline, integrates the contents of the main editions of high school mathematics Elective 1-1 currently used in China, and is written in line with the synchronized teaching plan tied to the college entrance examination. Its distinctive feature is its positioning as a replacement for both the textbook and supplementary materials: in one book, it covers the knowledge points required by the curriculum standards while sorting out the differences among common editions, making it suitable as a core book for daily synchronized study. For teachers, it provides a teaching sequence and integration approach that can be applied directly; for students, it reduces the burden of constantly switching among multiple supplementary materials and makes the learning path clearer. Because it was compiled by a local teaching research department and formally published after trial use in middle schools, its content arrangement is closer to classroom pacing and the realities of the college entrance examination. When reading, it is advisable to use it chapter by chapter in step with school progress: read the knowledge review first, then work through the examples and exercises, and when different editions phrase things differently, return to the curriculum standards to understand the essence. As a textbook-type book, it is better suited to systematic study than to fragmented reference, and it should not be used entirely independently of teacher guidance.

Who it's for

A good fit for

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Reading tips

  1. Read chapter by chapter according to the school teaching schedule, reading the knowledge review first and then completing the examples and exercises.
  2. When different editions phrase things differently, return to the curriculum standard requirements to understand the core concepts.
  3. Use the exercises in the book alongside school assignments to avoid the burden of repetitive drilling.
  4. At the end of each chapter, organize the knowledge framework on a single sheet of paper to check whether it has truly been mastered.

About the publisher

Peking University Press China · Founded in 1979

Peking University Press is a comprehensive university press whose publishing areas cover classical literature, popular science, social culture, world history, Western philosophy, and culture. Its catalogue contains 6,031 titles, with representative books including A Dream of Red Mansions, Relativity: The Special and General Theory (15th Edition) (with Einstein's classic papers on unified field theory and other topics), Elements, Conics, The Aristocratic Families of the Eastern Jin, The Philosophy of Mythology (Volume I), The Philosophy of Mythology (Volume II), and The Origin of Continents and Oceans. Representative authors include Cao Xueqin, Zhou Ruchang, Albert Einstein, Euclid, Apollonius, Tian Yuqing, Schelling, and Xian Gang. The press has developed distinctive strengths in classical Chinese literature and in the translation of Western philosophical classics, while also covering scientific classics and social and cultural studies. As public information is limited, this description is based only on the books in the catalogue and offers no further extrapolation.

Contents

  1. 版权信息
  2. 出版说明
  3. 第一章 常用逻辑用语
  4. 1.1 命题与量词
  5. 1.2 基本逻辑联结词
  6. 1.3 充分条件必要条件与命题的四种形式
  7. 1.4 常用逻辑用语练习（1）
  8. 1.5 常用逻辑用语练习（2）
  9. 单元整合与评价
  10. 第二章 圆锥曲线与方程
  11. 2.1 橢圆
  12. 2.2 椭圆专题
  13. 2.3 椭圆练习
  14. 2.4 双曲线
  15. 2.5 双曲线专题
  16. 2.6 双曲线练习
  17. 2.7 椭圆与双曲线练习
  18. 2.8 抛物线
  19. 2.9 抛物线练习
  20. 2.10 圆锥曲线专题
  21. 2.11 圆锥曲线练习
  22. 2.12 平面向量与解析几何
  23. 单元整合与评价
  24. 第三章 导数及其应用
  25. 3.1 导数
  26. 3.2 导数的运算
  27. 3.3 导数运算练习
  28. 3.4 导数的几何意义
  29. 3.5 利用导数判断函数的单调性
  30. 3.6 函数单调性的练习
  31. 3.7 函数极值与最值
  32. 3.8 函数极值与最值练习
  33. 3.9 含参数的导数综合问题
  34. 单元整合与评价
  35. 模块结业测试

FAQ

Can this book completely replace the textbook and supplementary materials? The book is positioned to integrate the contents of the main editions of new curriculum standard textbooks, stay closely tied to the college entrance examination, and be written according to a synchronized plan, so it can serve as the main book for daily study. Learning outcomes still depend on keeping pace with classroom progress and teacher explanations, so it is best used as integrated core material rather than for completely self-study away from the classroom.
Which regions' students is it suitable for? The book was compiled by the Dalian teaching research department and was initially piloted in Dalian middle schools. Its content takes the new curriculum standards as the overall outline and integrates the main editions of textbooks used in China, so it has reference value for students using new curriculum standard textbooks. Examination requirements may differ by region, so it should be used in conjunction with local teaching arrangements.
What content does Elective 1-1 mainly cover? According to the common arrangement of high school mathematics new curriculum standard Elective 1-1, it mainly covers common logical terminology, conic sections and equations, derivatives and their applications, and related content. The specific chapter arrangement is subject to the book's table of contents; it is advisable to browse the contents first and then arrange the reading order in conjunction with the school teaching plan.

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About the author

杨宇光 Author

Yang Yuguang has limited publicly available information. Four works are held under his name, spanning categories such as finance and economics, politics, and examinations. Judging from the distribution of these works, he has addressed international economic and political issues, writing Global Political Economy: Interpreting the International Economic Order, International Relations Political Economy, and The Rise and Fall of Global Capitalism in the 20th Century, while also participating in the compilation of a high school mathematics elective textbook. The former titles focus on the intersection of international economic order and political economy for readers seeking to understand the transformation of global capitalism and its institutional logic; the latter is supplementary teaching material emphasizing knowledge review and exam preparation. This wide range suggests a writing practice that balances academic popularization with instructional utility, characterized mainly by conceptual analysis and the tracing of historical threads.