Junior High School Grade 2 Mathematics (Newly Compiled Olympic Basic Knowledge and Quality Education Series)

Author: Yang Qian
Publisher:
Publish Date: 1999-03-01
Features: Based on the teaching content of junior high school mathematics and the requirements of the "Junior High School Mathematics Competition Outline," this book's second-grade edition is designed in accordance with the learning patterns and psychological characteristics of second-year students. The main content of this book includes: factoring; simplification and proof of fractions and radicals; arithmetic roots and non-negative numbers; triangles, special quadrilaterals, and similar figures; geometric transformations; and mathematical problem-solving methods such as proof by contradiction and area methods. During the writing process, the book aims to achieve the teaching objectives of "broadening knowledge, inspiring thinking, developing intelligence, cultivating abilities, and optimizing quality." It places special emphasis on the infiltration and application of mathematical ideas and methods, focuses on the formulation and analysis of problems, and highlights the explanation of problem-solving patterns. Additionally, it fully considers the characteristics of scientific rigor, systematic organization, comprehensiveness, readability, and forward-thinking. When solving problems, if the structure of the problem is known in advance, one can first assume an identity containing undetermined coefficients. Then, based on the properties of polynomial identities, several equations with undetermined coefficients can be listed. Solving these equations yields the values of the undetermined coefficients, or these coefficients can be eliminated from the equations to derive the relationships between the original known coefficients.