High school mathematics: Trigonometric functions (latest revision)

Author: Fu Rongqiang
Publisher:
Publish Date: 2003-11-01
Features: The set of books primarily reflects the principle of gradual progression in their section design. Each book is divided into two parts—"Basic Concepts" and "Comprehensive Application" (high school edition as "3+X" Comprehensive Application). Each section in the "Basic Concepts" part is further divided into two columns: "Knowledge Point Analysis and Application" and "Broadening Horizons."
"Knowledge Point Analysis and Application" focuses on thoroughly and clearly explaining the basic knowledge, helping students clarify the knowledge framework and firmly grasp the key points, laying a solid foundation for elevating their performance to a new level. "Broadening Horizons" is designed for students to "reach even greater heights" after firmly mastering the basic knowledge. As the ancients said: "Give a man a fish, and he eats for a day; teach a man to fish, and he eats for a lifetime." This is also the purpose of compiling this set of books.
As the latest offering from Longmen Bookstore, Longmen Special Topics, has the following features:
1. Specialization First: This set includes 72 titles, allowing you to choose the most practical and beneficial ones according to your needs. Each book provides an in-depth and comprehensive interpretation of a specific topic, ensuring that after reading one, you can fully grasp the knowledge of that topic.
2. Detailed and Comprehensive Explanations: Since each book focuses on a single topic, the explanations of knowledge points are naturally more detailed. Special annotations after certain problems and exercises make it easier for students to understand and memorize the knowledge of the topic.
3. Time-Saving and Efficiency: Due to the concentrated nature of the "topic" content, each book has relatively fewer pages, enabling students to select targeted materials and achieve a thorough understanding and practice of a specific knowledge area in a shorter time.
4. Limited Limitations: Combined with being "out of sync" with the textbook. "Synchronization" means that all knowledge points covered in the textbook are included in this set, each as a separate book. "Out of sync" refers to the fact that the books may not be arranged in the same order as the textbook chapters but instead group a knowledge block into a system. For example, the knowledge of high school solid geometry is summarized into four aspects and six problems: "Points, Lines, and Solids" and parallelism, perpendicularity, angles, distances, areas, and volumes. This helps students truly grasp the interconnections between knowledge points, naturally linking them together and allowing them to appreciate the meaning of "though the changes are endless, the essence remains the same," thereby reducing the limitations caused by textbook changes.
5. Clear Priorities: At the beginning of each book, the proportion of points covered in recent years' college entrance exams is listed, allowing students to weigh the importance and improve efficiency accordingly.
Another feature of this set is its full reflection of the spirit of "reducing the burden." The fundamental goal of "reducing the burden" is to cultivate a new generation of versatile and knowledgeable talents, which is a crucial part of implementing quality-oriented education. In terms of teaching across subjects, only by improving teaching quality and efficiency can the goal of reducing students' workload be truly achieved. The books in this set, with their focused content and effective practice, greatly benefit students in improving their relative efficiency in learning a specific topic. This is also the key focus of the book.