"Course for Training Excellent Students in Senior High School Mathematics Competition (Special Lecture) (2nd Edition)" is compiled according to the requirements of the national senior high school mathematics joint competition "Additional Exam" (the second exam), which contains all the knowledge needed for the additional exam and is divided into several topics. "Training Course for Excellent Students in Senior High School Mathematics Competition (Special Lecture) (2nd Edition)" selects a large number of typical examples and explains them in detail, aiming at revealing the law of solving problems and improving students' ability to analyze and solve problems. Each chapter provides enough exercises for students' extracurricular training. These exercises are just simple tips, aiming at cultivating students' independent thinking ability and exploration spirit.