Solving problems and upgrading senior high school mathematics

Author: Luo Yandong / Zhou Zhenwen (editors)
Publisher:
Publish Date: 2005-06-01
Features:
This series of books features:
Comprehensive Analysis and Solutions: Fully analyze and solve typical problems related to knowledge points, key points, difficulties, and key examination points, providing thinking angles for problem-solving approaches, demonstrating the problem-solving process, and indicating scientific problem-solving methods!
Training Package: Based on the examination points involved in the examples, set up targeted knowledge extension and expansion exercises to learn by analogy!
Gas Station: Emphasizes important formulas, patterns, and problem-solving approaches to boost your problem-solving skills!
Detailed Answers: The answers to the training package are detailed, either revealing the problem-solving approach or providing problem-solving analysis!
This book comprehensively analyzes and solves typical problems related to knowledge points, key points, difficulties, and key examination points, serving as an educational aid with the nature of a problem-solving dictionary. However, this book surpasses a problem-solving dictionary by not only demonstrating the problem-solving process but also providing a more detailed explanation of the thinking process and the selection of entry points, making its function of teaching methods and guiding thinking even stronger.
Students must meet two conditions to improve their problem-solving skills: first, to build a solid foundation, and second, to apply learned knowledge to analyze and solve problems. This book explains knowledge points, key points, difficulties, and key examination points through example problem-solving, while also providing the thinking process for problem-solving. It activates abilities while building a foundation and consolidates basic knowledge through problem-solving practice. Additionally, the training package set up based on examples serves as a model for learning by analogy. Once these examples and exercises are mastered, similar problems can be solved effortlessly. Therefore, this book perfectly fulfills the role of improving problem-solving skills.
This book is organized by chapter order according to curriculum standards and teaching progress, with examples and training questions set according to the examination guidelines for the junior high school entrance examination. The examples are arranged in the order of basic questions, then ability-based questions, and finally comprehensive questions, perfectly matching students' in-class learning rhythm and solving their problem-solving issues at any time. Each example mainly includes three content sections: analysis, solution, and notes, just like a teacher's lecture: first, it provides the analytical thinking process, then solves the problem, and for difficult or easily mistaken questions, it highlights important points, correct methods, and error diagnosis. It is extremely easy to master.
The example problem-solving in this book has the following functions:
1. Links the knowledge system;
2. Explains knowledge points and examination points;
3. Interprets key points and difficulties;
4. Teaches methods and guides thinking;
5. Covers all types of questions;
6. Can be generalized to similar problems.
Specifically, the examples in this book are set according to three principles:
1. Examples can explain knowledge points and examination points, meaning that for each knowledge point and examination point, an example is set;
2. The question types are comprehensive, including not only traditional classic question types but also new question types such as reading questions and situational questions that have appeared in recent years in the junior high school entrance examination;
3. The examples are typical in question type and content, serving as a model for learning by analogy.
The examples in this book are closely related to exams. First, this book sets up example problem-solving for all examination points mentioned in the textbooks. Second, it emphasizes the ability-oriented purpose in examples, increases application-based and ability-based question types, and aligns with the trend of exam question reform in junior high school entrance examinations.