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What are the specific contents of Hyperion conjecture and Edich conjecture?
Hyperion conjecture: Let n points (n≥3) on a plane be arbitrarily given, and there is a distance between every two points. The ratio of the maximum distance to the minimum distance is recorded as λn, so what is the lower bound of λn? The original guess is: λ n ≥ 2 {sin [(n-2)/2n] π} (n ≥ 7).

[199 1 year, affiliated high school of south china normal university land will raise it to λn≥2(n≥8)].

Edich conjecture: n points (n≥3) on any line on the plane are connected in pairs to form a line segment. Is there an angle less than or equal to π/n?

[199 1 affiliated high school of south china normal university student Lu denied the Edich conjecture, which was established by adding an additional condition to the above conjecture conditions]

Lu Zai, a junior three student in affiliated high school of south china normal university at that time, improved the above conjecture in the paper "Proof of Two Important Conjectures in Combinatorial Geometry" published in February 199 1 2000, which was recognized by Professor Zhong Ji from the Department of Mathematics of South China Normal University. The thesis won the first prize of Guangdong Scientific Paper, the first prize of the 6th National Youth Invention Competition and Scientific Seminar, and the China Mao Yisheng Science Education Fund Award.

The source of inspiration

During the summer vacation, Lu got it from "Hyperion conjecture" and "Edison conjecture" in "The Course of High School Mathematics Competition" published by Jiangsu Education Press 1989.

Brief introduction of Lu

Lu is an ordinary female student in affiliated high school of south china normal university. She has solved the world's mathematical problems "Hyperion Conjecture" and "Editch Conjecture". Her father is an associate professor in the Department of Mathematics of Jinan University, and her mother is a doctor. They think extracurricular activities can cultivate children's extensive interests. The mystery of knowledge can exercise children's strong will and perseverance. Therefore, they cherish children's interests, are good at discovering children's interests, creating conditions and guiding the cultivation of children.

Under their guidance, Lu had various hobbies since he was a child. She likes physics and participates in physics groups. She loves literature and likes reading the famous works A Dream of Red Mansions and The Journey to the West. She likes playing volleyball, singing and math. When the father found that the child loved mathematics and plunged into the mathematical maze that troubled many mathematicians in the world, he was "black and blue" and gave Huaying support and encouragement in time. He encouraged Huaying to say, "Since this is a difficult problem in the world, it certainly won't let you solve it so soon. It won't be easy if I can prove it. Besides, you are only a middle school student. If you can't prove it, exercise your perseverance. "

With his father's support, many mathematicians in the world can't solve the "two conjectures", but a female student of 16 years old in China was overcome by elementary mathematics. In the process of conquering the "Editch conjecture", she also dared to deny the conjecture of the great mathematician Editch and improve it. 199 1 February, Lu wrote a scientific paper entitled "Proof of Two Important Conjectures in Combinatorial Geometry", and won the first prize of Guangdong Scientific Paper, the first prize of the 6th National Youth Invention Competition and Scientific Seminar, and the National Mao Yisheng Science Education Fund Award. It can be seen how important it is for parents to support and cultivate their children's hobbies in their growth.

Transfer from: Junior High School Students Who Overcome World Problems —— Science Monthly for Middle School Students No.23 1998