National Adult College Entrance Examination Review and Teaching Materials (Upgrading) Advanced Mathematics (I)

Author: Compiled by the Writing Group of this Book
Publisher:
Publishing Date: 2005-03-01
Features: In 2004, the Higher Education Department of the Ministry of Education and the Examination Center of the Ministry of Education revised and promulgated the "Review and Examination Syllabus for Admissions to Various Adult Higher Education Institutions in China." The new syllabus specified the examination subjects and review content for disciplines such as philosophy, literature, economics, education, management, law, science, engineering, agriculture, and medicine, totaling 5 volumes, published by Higher Education Press. To meet the review and preparation needs of a large number of candidates, we organized experts and professors who have long been engaged in adult college entrance examination review tutoring, as well as researchers who participated in the revision of the previous syllabus and the setting of examination questions. We promptly revised a series of review and examination teaching materials to the syllabus. This series of teaching materials was compiled based on the "Review and Examination Syllabus for Admissions to Various Adult Higher Education Institutions in China—From Junior College to Bachelor's Degree" newly promulgated by the Ministry of Education in 2004, including 8 volumes such as "Politics," "English," "Educational Theory," "College Chinese," "Introduction to Art," "Advanced Mathematics (I)," "Advanced Mathematics (II)," and "Civil Law." This series of teaching materials integrates review content with examination content, not only helping candidates review and master solid foundational knowledge but also enabling them to grasp key and difficult points of the exam, improving their test-taking skills. The arrangement of its content fully aligns with the knowledge system of the "syllabus," fully reflecting the knowledge and ability requirements of the "syllabus" while emphasizing relevance to the actual exam. It includes a large number of applied and ability-oriented practice questions, along with solution guides and reference answers, allowing candidates to practice and review effectively throughout their learning process, promptly assess their progress, and enhance their adaptability and confidence for the exam. The compilation of this series of teaching materials incorporates the efforts of numerous experts, question-setting researchers, and frontline teachers; embodies the essence of modern educational concepts such as "transferring from knowledge-oriented to ability-oriented education"; and reflects the overall planning philosophy of our publishing professionals in the compilation of examination materials. In recent years, adult higher education has experienced rapid development, particularly in the field of upgrading from junior college to bachelor's degree. To adapt to the requirements of educational development and contribute to the advancement of adult higher education, we have strived to provide the most beneficial assistance to adult candidates, enabling them to adapt to changing circumstances. Higher Education Press organized the compilation of "Review and Examination Teaching Materials for Admissions to Various Adult Higher Education Institutions in China—From Junior College to Bachelor's Degree." To provide readers with a highly practical and targeted examination preparation book, the authors of this book conducted a thorough study of the 2004 edition of the "Examination Syllabus" and followed the principle of "one adherence and two targeting" in the compilation. 1. Strictly adhered to the examination content and requirements specified in the 2004 edition of the "Examination Syllabus." 2. Targeted the characteristics of adult candidates and the basic principles of examination question setting. The basic principles of question setting are reflected in the following aspects: The book primarily focuses on the fundamental knowledge, principles, and skills of advanced mathematics, avoiding complex calculations and specialized techniques. The targeting of adult candidates is reflected in the emphasis on the essential elements of basic concepts, the distinctive features of basic properties, and the systematic organization of basic calculation methods, as well as the emphasis on the structural forms of concepts or formulas. The book includes a large number of examples to help readers achieve understanding and mastery, with detailed analysis and explanations for each example, focusing on the form characteristics of the problems and the thinking methods for solving them. In many concepts, theorems, properties, and some examples, additional explanations are provided, pointing out issues that readers should pay attention to or common characteristics of problems, aiming to guide self-study and improve efficiency. The examples include advanced mathematics (I) examination questions from the national upgrade exams from 1994 to 2004, enabling candidates to understand the breadth and depth of the questions. The examples cover common basic question types specified in the "Examination Syllabus." For examples based on examination questions, numbering is used to indicate the year and position of the question in the exam paper, such as "Question 4 from the 1998 exam" or "Question 21 from the 2000 exam," allowing readers to clearly identify the year and position of the question. To increase the information content of the examples, multiple-choice questions are provided in the examples, aiming to train candidates to analyze each option and enhance the intensity of training. It should be noted that all multiple-choice questions in the entrance examination are single-choice questions. If you can determine that one option meets the requirements of the question, you can skip the discussion of the remaining options. A summary is provided at the end of each chapter, highlighting the basic concepts, basic operations, and common question types of the chapter. Synchronous practice questions are selected after each section, along with reference answers.