Since the publication of 20 10, the complete outline of mathematics questions in the new college entrance examination standard has been revised for four years. It brings together the teaching experience of editors for many years, the study and grasp of college entrance examination propositions, and the review experience and practical experience of many college entrance examination students. He has become a mentor and friend of college entrance examination readers, and has become a teaching reference book for many teachers because of his outstanding content summary and compilation of typical topics. In the past four years, this book has helped many college entrance examination students realize their dreams, and also helped students and teaching colleagues who have used this book to achieve fruitful results in their study, work and research. In order to help students improve the efficiency of using this book and answer all kinds of problems encountered in review, editors and some math colleagues specially set up a "question and answer hotline and email" to better communicate and interact with students. From books you buy to exams, we will combine famous educators. Many college entrance examination students shared their help and inspiration in the process of using this book. In view of these valuable feedback information, we have discussed and pondered many times, and revised this book again, hoping to better meet the students' requirements of reviewing and preparing for the exam. We also take this opportunity to express our heartfelt thanks to these college entrance examination students. In this second edition, we have made the following changes: (1) Every chapter has added knowledge.

(2) Adjustment of examples and variant questions. The examination direction of the college entrance examination changes year by year, so we reflect the direction and timeliness in the revision, which is closely combined with the proposition direction and the college entrance examination outline (or review instructions). Through the in-depth grasp of the types of questions, typical, representative and penetrating examples are selected, which is very enlightening for the detailed analysis of the selected examples and the correct answers of candidates. In particular, there are few words in the "comments" section. It has played a role in opening eyes and broadening horizons. After the example, the variant questions are presented step by step, which conforms to the students' cognitive law and pays attention to the vertical and horizontal connection, so that the essential characteristics of * * * can be found. Through the high refinement of mathematical thinking methods, the important problem-solving modes are studied and excavated to "kill" the college entrance examination questions and achieve the calm state of the oral examination questions.

(3) "Simplify the complex, and make it easy". Summarize the contents that are often difficult for candidates, get the "mysterious" and particularly effective problem-solving methods and skills, and make a detailed analysis, so that students can understand the origin of these methods and make the "mystery" become logical. For example, the application of classical inequalities in series and inequalities and unique problem-solving methods will make readers feel refreshed.

(4) Each part is equipped with the most effective training questions. In order to test students' learning effect, improve students' problem-solving level and avoid students falling into the sea of questions, effective training can be carried out. We carefully select the typical questions that best represent the content of this section for students to train in order to achieve the integrity of knowledge, methods and ability training.

(5) According to the differences in the content breadth and difficulty of the math test in the college entrance examination of arts and sciences, we divided the arts and sciences versions.

(6) In the innovation of layout form, we adopted the double-column design, which increased the center of the layout and improved the space utilization. Two-color printing highlights the key points and difficulties at a glance. The reference answer is written separately, which is convenient for students to think independently and is also helpful for teachers to use it in teaching.

(7) modify the error. We carefully proofread and verified the contents of the book and corrected the mistakes. Through our efforts and the help of many students and teachers, the second edition strives to be as perfect as possible. In order to make continuous improvement, we earnestly ask our friends to take the time to make corrections. This book is a guide for students to prepare for the college entrance examination. At the same time, it is also a friendly teaching for teachers to prepare lessons easily.

From planning to publication, this book has devoted the painstaking efforts and creations of many experts and front-line teachers. The specific division of labor is as follows: Coach Benny modifies sets and common logical terms, functions, derivatives, trigonometric functions, plane vectors, series, inequalities and other chapters. , and is responsible for the overall planning and proofreading of the book; Teacher Xu Guidong is responsible for revising solid geometry, the equation of straight line and circle, the equation of conic curve, the content of selected lectures and the proofreading of corresponding chapters; Teacher joy chen is responsible for the proofreading of preliminary algorithm, counting principle, probability statistics, reasoning proof, complex numbers and corresponding chapters; Teacher Zhang Xijin is responsible for sorting out and proofreading the most effective training questions in the book; Mr. Xu Xuanqing, Mr. Zhang, Mr. Yan Yabin and Mr. Xia are responsible for proofreading the whole book and put forward many valuable suggestions for revision. At the same time, I would like to express my heartfelt thanks to Mr. Zhang Hongwei and Mr. Zhang, the editors of the first edition of this book, and the teachers of the author's team for their hard work over the past year. In addition, I would like to thank Ms. Chen Shiyun, the responsible editor of this book, who participated in the design and planning of this book. It was her hard work and fruitful work that made this book come out smoothly.

The editor is devoted, but his ability is limited. Please correct me if there are any omissions.

May this book accompany the students into the ideal university!

Coach Benny

2065438+May 2003 Beijing