Topic decoding high school mathematics analytical geometry

Author: Fu Rongqiang
Publisher:
Publish Date: 2005-06-01
Features: The series "Decoding Key Points—Breaking Down Difficulties with Models" is based on the "Curriculum Standards" and integrates the knowledge systems of various textbook versions. It focuses on junior and senior high school curricula and the actual needs of the Zhongkao (senior high school entrance exam) and Gaokao (university entrance exam), with topics organized into specialized chapters. The series comprises a total of twenty-eight volumes covering mathematics, physics, and chemistry for both junior and senior high school levels.
A model is a concept familiar to most people. For example, children's toys are models of real objects, robots are models simulating humans, and the formula for the area of a rectangle, S = ab, is a mathematical model, and so on. What are the models in this book? Simply put, they can be considered as formulas. From the perspective of middle and high school students' learning, establishing knowledge points into concise and scientific models (formulas) plays a crucial role in summarizing, memorizing, and solving problems. This series is grounded in the actual curricula of junior and senior high school levels and the Zhongkao and Gaokao exams. It organizes the models of mathematics, physics, and chemistry for both levels, making them easy to remember and apply, thereby offering extremely high practical value in breaking down the key and difficult points of the knowledge system.
Moving from life into mathematics, from life into physics, and from life into chemistry—applying knowledge to production and daily life, conducting exploratory learning, and solving practical problems closely related to production and life—are requirements of the "Curriculum Standards" and also key examination content in the Zhongkao and Gaokao. Each topic in this series is treated as a separate chapter, with explanations, examples, and exercises specifically designed to illustrate the methods and techniques for using models to solve real-world problems in production and daily life. This fully reflects the "model-building" philosophy of the "Curriculum Standards."
Pioneering topics, model-based problem-solving—excellent and exciting!