Detailed Solutions to the Problems of the 1st to 15th "Hope Cup" National Mathematics Invitational Competition (Grade 10)

Author: Zhou Guozhen, Editor-in-Chief
Publisher:
Publish Date: 2005-07-01
Features: The "Hope Cup" National Mathematics Invitational Contest has been held since 1990 and has now celebrated 15 editions. The first edition attracted 110,000 students, and by the ninth edition, the number of participants each year exceeded one million. Over the past 15 editions, the cumulative number of middle school students who have participated has surpassed 12 million. Among domestic middle school subject competitions, no other event has achieved such a large scale or attracted so many schools to participate. This fully demonstrates the popularity of the "Hope Cup" among middle school students. Why do middle school students enjoy participating in the "Hope Cup"? A very important reason is that the problems are well-designed and beautiful, offering significant intellectual space. The "Hope Cup" problem-setting committee comprises top experts in mathematical competition from China, who meticulously draft the questions for each edition. Additionally, over a thousand outstanding mathematics teachers, educational researchers, and university and high school students across the country have contributed numerous self-composed problems.