The new book on solving problems in middle school mathematics (senior middle school edition), edited by Liu Peijie and published by Harbin Institute of Technology Press, has multiple effects. It can be used as preparation materials for college entrance examination, national examination, national "Hope Cup" mathematics competition and national high school mathematics league (preliminary examination), and can also be used as elective courses and extracurricular activities. This book summarizes the key points and difficulties in middle school mathematics in the form of special topics, covering a wide range, which can enable students to deeply understand mathematical concepts and flexibly use problem-solving methods.