Design concept: (1) Based on the curriculum standards, it forms an effective supplement with the teaching materials of various disciplines. The universality of textbooks determines that it is difficult to take into account the particularity of learners, which is a dilemma. This series has been carefully designed to make up for this "deficiency" of the teaching materials, meet the learning needs of students in different regions and at different levels, and eliminate the fault and dislocation between the learning situation and the teaching materials.
(2) Presentation of problem group, method guidance and knowledge construction. If a teaching aid book is simply designed for readers to read, imitate and practice, and readers can learn some problem-solving skills superficially, then its functional limitations are too great. The design of this series highlights the classicality, connection and divergence of the selected theme, emphasizing originality and modernity. The columns of "Classic Examples" and "Classic Topics" are method-oriented, so that readers can draw inferences about the ins and outs of these topics and their variants, understand the concepts and essence of teachers' questions and college entrance examination propositions, and gradually establish their own uniqueness over time.
Features and key points: (1) Introduce the concept of "problem group" and present it in the form of problem group. Examples and their derived sub-questions are tied together with exercises to form an exercise group. The problem group selects topics according to the law of solving problems and arranges them around important methods and knowledge points; The arrangement of questions in the same question group is from single to comprehensive, which conforms to the cognitive law of students. Students can know their mastery of knowledge in real time and accurately according to the completion of the problem group.
(2) reflect the connection, with less royal more. Select the classic college entrance examination questions and simulation questions as the motif, expand, improve and deepen them on the basis of incisive exposition, and diverge and extend them into sub-topics. Through the transfer of problem-solving methods and skills, the basic knowledge, basic questions and basic methods of each knowledge module are networked and structured, which reflects the connection between various knowledge points in the chapter and achieves the goal of using one thing as ten, using less and controlling more.
(3) Standardize the steps of solving problems. This series gives standardized problem-solving steps from the aspects of text narration, equations, calculus process, answers, writing and so on in strict accordance with the college entrance examination scoring standards, so as to guide students to develop the habit of standardized problem-solving.
(4) Connecting with life, improving knowledge application ability and cultivating innovative thinking and ability. This series emphasizes the relationship between subject knowledge and the development of production, life and science and technology, and embodies the direction and requirements of the new curriculum reform, so that students can truly feel that scientific knowledge is not unfathomable and boring through practice, but comes from colorful life and production practice, thus benefiting mankind and promoting the development of productive forces. Man needs science and technology, which changes the world. The process of learning is also the process of individual mental growth. Using this book, knowledge will become a powerful driving force to enhance learners' personality charm.
Some beautiful theorems in mathematics have such characteristics: they are easy to be summarized from facts, but the proofs are extremely profound. Her