After everyone else left, Ge Juntian smiled at Jiang Shuiyuan, and Zhang Jin and the others said, "Now, the idle people have retired, and the classroom has finally calmed down. We can talk about math problems well! But before we talk about math problems, I must ask you a question first: Are you interested in learning mathematics? In other words, do you think mathematics is beautiful?"

Zhang Jin's eyes emitted a strange light and he stammered: "Counting, mathematics is beautiful, I have it, I'm interested!"

Ge Juntian looked at the river water source with hope again, but the river water source was blown: "I don't think mathematics is so beautiful, and my interest is mediocre!"

"Then why did you participate in the Olympic Games selection? Just to add points to the college entrance examination?" Ge Juntian leaned forward slightly, and his tone was a little urgent.?

"It's not just for the extra points in the college entrance examination," Jiang Shuiyuan replied calmly. "I participated in the Olympic Games selection. On the one hand, it is very important that I hear people say that the topic is difficult. I can deepen my understanding of knowledge. I just want to see how much I can do-"

"This is interest! This is a strong interest in unremitting exploration of knowledge without any utilitarian tendencies! Many geniuses start by testing their own abilities and gradually transition to academic research!" Ge Juntian made this judgment immediately. "As for you don't think how beautiful mathematics is, it's not your fault, but because you have not met a competent teacher to take you to appreciate the mystery of mathematics. Mathematics has great beauty, it covers all things in the world and contains the ultimate principles of heaven; it can be a simple and practical specific problem in life, a mysterious abstract theory in books, or a good tool for solving problems at work! As long as people live in society, they have to deal with mathematics almost every moment."

Jiang Shuiyuan didn't comment on what Ge Juntian said at all, but just said two words lightly: "Haha."

Ge Juntian felt extremely stressed.

People in the world only know that good teachers are difficult to find, but they do not know that good students who are suitable for the teacher's wishes are even more difficult to find! Because good teachers are often famous. Even Zhuge Liang lives in seclusion in the mountain village, Sima Hui, Xu Shu and others know their talents and praise them everywhere. As long as they spend some energy, financial resources and material resources, they can always find them. But how can teachers choose their favorite students from a large number of students who are not famous and have poor talent? Most people think that students with good grades and good performance are more likely to become talents. In fact, the situation is often the opposite. Therefore, choosing students requires both insight and luck. Once they are found, they can easily attach themselves to the tail of the horse and be recorded in history. Many people with ordinary talents in history have been famous, and that he has now trained one or several famous disciples. If it weren't for Abel, a math genius, who would have remembered that there was a teacher named Holmbo in Norway?

If Ge Juntian wants to realize his dream of an Olympic gold medal coach as soon as possible, he needs a talented student.

Seeing that he had chosen a choice, he finally found a favorite candidate. Who knew that the duck who got it was impatient to obey his own discipline and wanted to flap his wings and fly away at all times. But how could he let him fly away? So Ge Juntian decided to give some hot information: "Maybe you think there are no such math problems in life? How can there be beauty in mathematics? Then I will give you an example! For example, when washing clothes at home, soak and rub the clothes first, and then twist them. Of course, you cannot completely wrinkle the water completely. Before drying, you must rinse it with clean water. Assuming that there is still 1 kilogram of dirty water left on the clothes and rinse it with 20 kilograms of clean water, how can you rinse the clothes to the cleanest?

"Often people put all their clothes in 20 kilograms of clean water at once. Then, together with the original kilogram of water on the clothes, there are now 21 kilograms of water. Assuming that the dirt is evenly distributed in these 21 kilograms of water, after wringing it out, there is still 1 kilogram of water left on the clothes. Then, if you wash it and dry it directly, how much is the original dirt residue?"

"One-twenty-one!" Zhang Jin stopped stuttering when he answered this question.

"Very good!" Ge Juntian nodded, "Of course, he will be a little diligent and rinsed his clothes twice with these 20 kilograms of water. For example, wash them once with 5 kilograms of water, and then wash them again with the remaining 15 kilograms of water. What is the original amount of dirt left?"

Zhang Jin picked up the pen and prepared to calculate, but Jiang Shuiyuan replied impatiently: "One in 96!"

"The answer is correct! The amount of dirt residue on the clothes has been greatly reduced, which fully shows that diligent people still have great rewards in their work." Although Ge Juntian knew that Jiang Shuiyuan had strong mental calculation ability, he still had a bright idea when he heard him report the correct answer at this time: "But if you rinse the clothes twice, each household has different choices. Some use 4 kilograms for the first time and 16 kilograms for the second time; some use 7 kilograms first and then 13 kilograms. Now the question is, how to reasonably distribute clean water so as to minimize the amount of dirt residue on the clothes during the two rinses?"

"1o kilogram, 1o kilogram!" "It's 1o kilogram every time!" Zhang Jin and Jiang Shuiyuan almost both said the correct answer.

"It seems that both of you have good mathematical awareness!" Ge Juntian said with satisfaction, "Yes, so the residual amount of dirt will be reduced to one hundred and twenty-one. In this way, it is inevitable that someone will think that if you rinse it with five kilograms of water each time, will the effect be better? The answer is obviously yes, but ordinary people will never use this method of washing, which is too troublesome. But mathematicians will continue to explore tirelessly: Is the more uniform the water is, the better the rinse effect? ​​Is the more clean the more it washes? What level can the cleanest? "

Don’t think too much, the answers to the first two questions are definitely "yes". The key is how to prove it. As for the last question, you need to think carefully!

Just as the two were thinking, Ge Juntian stood up and took out a few books from the table on the podium and handed them to Jiang Shuiyuan and Zhang Jin: "You might as well go back and think carefully about this problem and give detailed proof. As long as you do it, or feel that you can't do it, you can find me at the second year of high school mathematics teaching and research department at any time. In addition, I have several interesting books here, one is the "Biography of a World-famous Mathematician" organized by the Institute of Mathematics of the Chinese Academy of Sciences, the other is the "Collection of Interesting Mathematics" by the American mathematician Halmos, the other is the "Collection of Interesting Mathematics" by the American female journalist Pappas, and several "Stories of Mathematics and Mathematicians". You can read it when you have time, and you can realize that mathematics is definitely a beautiful and interesting thing!"

Jiang Shuiyuan is not opposed to reading books, especially popular science books that increase knowledge and broaden their horizons. He and Zhang Jin agreed to get a few books and exchange them after reading them. It is precisely because of this that Jiang Shuiyuan learned that Zhang Jin and Han Yun were in the same class, and they instantly found common topics beyond mathematics.

Jiang Shuiyuan returned to the classroom to continue his evening self-study. He originally planned to continue to preview the second year course in high school, but he was uneasy when Ge Juntian assigned the question, so he had to take out the paper and pen to find out. It took him half an hour and used the "mean inequality" of the second year course he had just previewed to finally prove the first two problems and concluded: if rinsing with 20 kilograms of water and still 1 kilogram of water left after the clothes were wrung out, then no matter how you wash it, the dirt will not be less than one of the original 2 to the power of forty!

After finishing the question, he still felt unsatisfied and began to look through the book "Biography of a World Famous Mathematician" lent to him by Ge Juntian. It didn't matter when he read it, and the more he read it, the more he became scared. After class, he didn't bother to talk nonsense with Wu Zichen, and immediately ran to Class 11 to call Zhang Jin, and first handed him the answer to the question: "This is the answer to the question assigned by Teacher Ge just now. Please give it to him!"

"You, you have done it? I just thought about a lesson, but it has not been proved!" Zhang Jin's face was a little dark when he said this. After all, not everyone was willing to surrender, especially when he was a proud boy. He immediately asked, "Then why don't you give the answer to Teacher Ge directly?"

"It is normal for you to not prove it now, because you need to use the knowledge point 'mean inequality' of the first semester of high school, that is, the harmonic average is not the geometric average, the geometric average is not the arithmetic average, and the arithmetic average is not the square average. Once you have learned this knowledge point, it will be much easier to prove it!" Jiang Shuiyuan first comforted Zhang Jin, and then answered his question: "The reason why I don't give the answer directly to Teacher Ge is because I will never participate in math group activities in the future!"

"Why?" Zhang Jin was shocked.

Whether in terms of Ge Juntian's recognition or his talent IQ, Jiang Shuiyuan is undoubtedly no.1 in the mathematics of Osaishe. Unexpectedly, he chose to give up in a blink of an eye. How can this not surprise Zhang Jin?

Jiang Shuiyuan shook his head and said, "Because when I was reading the book "Biographies of World Famous Mathematicians", many mathematicians are very short-lived, especially those mentioned by Teacher Ge in class, such as the genius mathematician Ramanujin, who lived only 33 years old, the famous mathematician Abel of Wandao, who lived only 27 years old, and the genius mathematician of Galova, who lived only 21 years old, and there were also Rakshasa female mathematician Kovalevskaya, Hans mathematician Riemann, Hankel, and Gaul mathematician Pascal... For the sake of my own wealth and life, I decided to stay away from mathematics!"

Zhang Jin obviously thought Jiang Shuiyuan's words were a clumsy excuse, so he raised the page of answer paper in his hand: "Then are you still doing homework?"
Chapter completed!