【649】Different Olympiad 4
"So after each question comes out, I hope everyone can have more solutions and develop any solutions and discuss them together."
After hearing Teacher Ning on the podium say this, Cao Ximin felt that his inner enthusiasm was stimulated again, making his palms warm. The classmates around him were all ready to fight.
The title Ning Yunxi wrote on the blackboard, and all the students took out the draft paper and pen they prepared to calculate.
Ning Yunxi gave them the time to do the questions, because there are time limits for the Olympiad mathematics.
This is a proven geometry problem, and the knowledge points involved include Pythagorean theorem, trigonometric functions, etc. In fact, any separate theorem used here can solve this problem.
Cao Ximin quickly came up with three ways to solve this problem. He thought he was very strong. It just so happened that he was sitting in the back row of Wei Xinze, who heard that he had surpassed him. He was really itchy, so he turned around and peeked at the person's draft paper.
At first glance, he was really the son of a medical professor. He looked gentle and gentle and wore glasses like Cai Wei, but he did not have the arrogance of Cai Wei at all. He felt that he was quite humble and would not make people look annoying. He looked at the problem-solving process he wrote was neat and clear at a glance.
1, 2, 3, 4, 5. This person came up with five solutions.
Cao Ximin was stunned for a moment, and turned around and hurriedly reviewed what he wrote.
A girl was already curiously asking Wei Zexin: "How could you come up with so many ways?"
"At first glance, this question is not very difficult, and it is easy to come up with a solution. However, the teacher said that the key point is how many solutions I can come up with. I think it is definitely more than the five methods I have written now." Wei Zexin said.
"How do you know there must be more than five types?"
"Because of Teacher Ning, my father said that she is really amazing."
Cao Ximin was so nervous that he swallowed his saliva. It turned out that even this person's father knew Teacher Ning. He thought that only his parents knew Teacher Ning.
"It's time. Hold your answers high. Then let's count together to see how many solutions there are." Ning Yunxi shouted a pause and said to all the students.
All the students stopped writing. Cao Ximin found that most of the students were as self-righteous as him and thought it was already amazing that he had come up with two or three methods. So when Wei Zexin came up with five methods to solve the problem, there was a roar in the classroom.
Wei Zexin said humbly: "The teacher must have other solutions to the problem. I can't think of it anymore. Can Teacher Ning tell us?"
Ning Yunxi nodded: "I believe that each of you is the smartest student, so the problem-solving methods you want are concise, and you go to the most easy-to-solve method. It's like smart people will take shortcuts while only stupid people will take long roads, right?"
Students including Cao Ximin nodded: Isn’t that the case?
"But what I want to tell you is that it is good to take a long journey occasionally, and you can see some different scenery. This is something that people who take shortcuts cannot see. Maybe some mistakes will be found on the road, but don't underestimate the correctness guided by mistakes. Especially in the future, you are good at being a mathematician and scientist, and doing research is inevitable to keep going on a long journey."
Chapter completed!