High School Mathematics: Compulsory 2

Name: High School Mathematics: Compulsory 2
ISBN: 9787301138847

杨光宇Peking University Press · ChinaAug 2025

3.5

Word count: 112K words
Chapters: 38
ISBN: 9787301138847

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Summary

This textbook series is a Dalian local textbook organized and compiled by the Dalian Municipal Education Bureau and the Dalian Education College (Teaching Research Office). In response to the current coexistence of multiple editions of new curriculum-standard textbooks, the series takes the new curriculum standards as its overall outline, integrates the major domestic editions of new curriculum-standard textbooks, closely aligns with and serves the college entrance examination, and is compiled according to 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 senior high school mathematics volumes (9 in total) in this series have been trialed for one year in lecture-note form at two middle schools in Dalian and have received great acclaim. Therefore, the Dalian Municipal Education Bureau decided to formally publish this textbook and, starting in autumn 2008, trial it in more schools in the city, gradually promoting it citywide. 5,000 sets were subscribed in 2008.

Editor's review

This book is a locally integrated textbook for the senior high school mathematics compulsory 2 stage, organized and compiled by a teaching research department. Its core approach is to take the new curriculum standards as the outline, integrate the content of major domestic textbook editions, and arrange it according to the synchronized plan of daily teaching, striving for one volume that serves both as textbook and supplementary material. For users, its value lies in reducing the cost of gathering materials from multiple sources: the learning path aligns with classroom progress, and examples and exercises are organized around college entrance examination requirements, making it suitable as the mainline material for synchronized study. Its strength is the systematic quality brought by its regional teaching-research background: knowledge review, method summaries, and exercise arrangements are relatively complete, making it easy for students to proceed step by step and for teachers to unify the teaching pace. It should not be treated as a quick-reference handbook but used section by section in line with classroom progress: first understand concepts and example solutions, then complete the accompanying exercises, and regularly review mistakes. For self-learners, it is advisable to use it alongside the official textbook and, when encountering differences in wording across editions, to follow the curriculum standards and the teacher's explanations.

Who it's for

A good fit for

First-year senior high students using the Dalian local textbook who need to study compulsory 2 content in sync with class
Students who want one volume covering both textbook content and basic training, reducing switching between supplements
Middle school mathematics teachers who need unified teaching progress and exercise arrangements
Senior high mathematics lesson-preparation staff who want to integrate knowledge points across multiple textbook editions

Not a good fit for

Students who need to study page by page against one specific textbook edition
Students already in final-year senior high review who need specialized, advanced training
Primary or junior high readers merely looking for fun mathematics enrichment content

Reading tips

Read section by section according to the school's teaching progress: first study concepts and examples, then complete the accompanying exercises, without skipping ahead.
After each chapter, organize the knowledge framework and typical methods, file mistakes by type, and review them regularly.
Read alongside the textbook edition you use; when wording differs, follow the curriculum standards and the teacher's explanations.
During stage review, redo only mistakes and variant example problems, avoiding repetitive drilling of basic problems already 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.

版权信息
第一章立体几何初步
1.1 构成空间几何体的基本元素
1.2 棱柱、棱锥和棱台的结构特征
1.3 圆柱、圆锥、圆台和球
1.4 投影与直观图
1.5 三视图
1.6 棱柱、棱锥、棱台和球的表面积
1.7 柱、锥、台和球的体积
1.8 空间几何体综合练习
1.9 平面的基本性质与推论
1.10 平行直线
1.11 直线与平面平行
1.12 平面与平面平行
1.13 直线与平面垂直
1.14 平面与平面垂直
1.15 平行问题专题导学
1.16 垂直问题专题导学
1.17 点到平面的距离与体积问题专题导学
1.18 点、线、面之间的位置关系综合练习
单元整合与评价
第二章平面解析几何初步
2.1 平面直角坐标系中的基本公式
2.2 直线方程的概念与直线的斜率
2.3 直线方程的几种形式
2.4 两条直线的位置关系
2.5 点到直线的距离
2.6 直线的方程综合练习
2.7 圆的标准方程
2.8 圆的一般方程
2.9 直线与圆的位置关系
2.10 圆与圆的位置关系
2.11 空间直角坐标系
2.12 圆的方程综合练习
单元整合与评价
综合练习（Ⅰ）
综合练习（Ⅱ）
模块结业测试

FAQ

Can this book completely replace the textbook?

The textbook is intended to integrate the content of major textbook editions, serve both as textbook and supplement, and be arranged according to a synchronized plan. However, exams and teaching requirements differ by region, so it is advisable to still follow the textbook used by your school and the teacher's requirements, using this book as the mainline material for synchronized study and training, and promptly checking against the curriculum standards and classroom explanations when edition wording differs.

Is it suitable for self-study, and what foundation is needed?

It is suitable for students with a junior high mathematics foundation who are studying senior high compulsory content and wish to self-study in sync. It is advisable to proceed in chapter order, understand concepts and example solutions before doing problems, slow down where content is integrated across editions, and use it alongside the textbook. If the foundation is weak, first shore up basic skills in functions, equations, and geometry before starting the training in this book.

What is the relationship between the book's exercise difficulty and the college entrance examination?

The materials state that the book closely aligns with and serves the college entrance examination and is compiled according to the synchronized plan of daily teaching, with exercises mainly consolidating synchronized knowledge and methods. It leans toward building foundations and synchronized training and is not equivalent to final-year specialized review material. Students with extra capacity can supplement with comprehensive and specialized problems after completing the synchronized exercises.

Can teachers use it directly to arrange teaching?

The book is organized and compiled by a teaching research department, arranged according to a synchronized plan, and integrates content from multiple editions, making it suitable for teachers as a reference for unified progress and exercise arrangements. However, schools differ in student conditions and class hours, so teachers are advised to make choices based on their own school's textbook and examination requirements, using this book as one of the mainline teaching materials rather than copying it wholesale.

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About the author

杨光宇 Author

Yang Guangyu is an author for whom very limited public information is available. The verifiable information about him centers mainly on supplementary high school mathematics books that he has contributed to. Two of his works are included in the database, namely High School Mathematics: Compulsory 2 and High School Mathematics: Elective 2-1, both falling under the exam category. This suggests that his writing is closely tied to synchronized training for the high school mathematics curriculum and to exam preparation. Judging from the existing titles, Yang Guangyu's editorial work follows the knowledge structure of high school mathematics textbooks, covering both compulsory and elective modules and serving students' practical needs in daily study and review. Because public records of his biography and professional background are lacking, little more can be said about his personal experience, and any assessment of his works' influence must remain limited to their subject positioning. Overall, Yang Guangyu can be regarded as an author involved in compiling high school mathematics supplementary materials, whose contribution lies chiefly in supporting curriculum standards and helping students consolidate their mathematical foundations and improve their problem-solving skills.