"Welcome Cup" Junior High School Mathematics Competition All Previous Years' Questions and Full Detailed Solutions

Author: Kaiming Mathematics Studio
Publisher:
Publish Date: 2005-01-01
Features: "Yingchun Cup" is a long-standing middle and primary school competition in Beijing, having been held for 21 years. It not only has a significant impact in Beijing but also enjoys a certain influence nationwide. The competition is held at the beginning of each year and is classified as a popular contest, where students can participate voluntarily. There is no ranking in the competition, and the results do not directly correlate with school admissions. However, achieving a good score in the "Yingchun Cup" is highly recognized by middle schools. The "Yingchun Cup" Mathematics Competition has played a significant role in stimulating students' interest in mathematics, discovering outstanding math talents, and promoting the reform of mathematics education in Beijing's middle and primary schools.
As is well known, the questions for various mathematics competitions are mostly prepared by experts and experienced teachers with specialized knowledge. Therefore, in terms of the quality of the questions, whether in terms of depth or flexibility in solving, they far exceed the problems students typically encounter in their daily studies. For the questions from past "Yingchun Cup" competitions, after careful review, we strive to provide as many practical solutions as possible to help readers broaden their thinking. For more challenging problems, we provide the original solutions, starting from the entry point, to clarify the source of the thought process, enabling readers to achieve the effect of "generalizing from one to all." We particularly emphasize teaching readers correct thinking methods rather than them with advanced concepts, ensuring that readers truly improve.