"Ahem, cough, okay, let's let Chen Fan introduce the learning experience, I remember that before the exam, Chen Fan asked me to help him find a lot of knowledge about advanced mathematics, and let him introduce it to me, what relevant knowledge can improve our mathematics scores." Zhao Rongbao hurriedly skipped the previous topic.

He was afraid that Chen Fan would be beaten to death

Chen Fan was not stingy, and said directly: "For now, let's go back and check the knowledge of linear algebra and calculus, which are very useful in advanced mathematics, for the present, and for our high school learning." ”

When it comes to mathematics, Lin Miaomiao was indifferent, and said: "Advanced mathematics, linear algebra, calculus, this is not a math problem, twenty-one language problems, master, sit down, I have a headache." ”

Chen Fan was slightly stunned, then reacted, and nodded approvingly: "It's really true." ”

Then he sat down

Zhao Rongbao and many classmates were stunned

Zhao Rongbao: "Lin Miaomiao, don't talk nonsense, how can advanced mathematics, calculus, and linear algebra be a language problem?" What does it have to do with language? ”

"That's it, that's it."

....

Lin Miaomiao: "First of all, from your mouth, Mr. Zhao, I heard everyone, including my ears, I understand, everyone understands, what you say is Chinese, this is language." ”

Zhao Rongbao: "......"

"In addition, it's a brain teaser~" Lin Miaomiao looked at Zhao Rongbao and paused in her tone.

Zhao Rongbao: "???? ”

"Lin Miaomiao, tell everyone, why is this a brain teaser?" Zhao Rongbao's curiosity came up.

"Calculus is the first tone, linear algebra is the fourth, and advanced mathematics has all four!" Lin Miaomiao raised her head proudly.

"Bang Bang"

The whole class was shocked and applauded under the leadership of Jiang Tianhao.

"Senior brother, it's terrifying!" Jiang Tianhao was convinced.

"It is worthy of the existence of more than 110 points in the language test." Deng Xiaoqi touched Lin Miaomiao's head.

"Sure enough, English is chaotic and charming, and pinyin can see the true meaning." Sun Kuanchu also came over to compliment.

"Lin Miaomiao will discuss Chinese less in mathematics class in the future." Zhao Rongbao obviously had a lot of knowledge, but he still warned him.

"Hmph, the wind is rising, blowing a pool of spring water!" Lin Miaomiaoyi is bold.

"What do you mean?" Zhao Rongbao was stunned.

The class was silent.

Everyone knows a lot, but they don't dare to say it.

Zhao Rongbao inked for a long time, but no one told him what he meant.

"One by one, the wings are stiff, look at it, I'm going to transform, class!" Lao Zhao felt that he had derailed from the times.

In the midst of laughter, Zhao Rongbao picked up the chalk.

Write on the blackboard that a positive integer is 2 when divided by 3, 3 by 5, 2 by 7, and 2 when 7 is divided, if this number does not exceed 100, find this number.

"Students, before class, let's calculate this question, this is a famous calculation through the ages, let's try to calculate it." Zhao Rongbao said.

"The answer is 23"

But it was Qian Sanyi who raised his hand directly.

"Good! Qian Sanyi, come up and explain this question to everyone. Qian Sanyi is also a candidate for the top prize in the college entrance examination, and the school bought it for 500,000 yuan, and Zhao Rongbao did not dare to slack off.

This is the classic title in "Sun Tzu's Sutra", which gives the solution to this kind of problem: "If there are two of the remaining three or three numbers, then put one hundred and forty; The remaining three of the five or five numbers are placed in sixty-three; The remaining two of the seven numbers are thirty; and two hundred and thirty-three, and two hundred and ten minus it, and it shall be obtained. Where there is one remaining in the number of three or three, it is put at seventy; If there is one left in the number of five or five, twenty-one will be placed; If there is one left in the number of seven or seven, it shall be placed in fifteen or more than one hundred and sixteen, and one hundred and five shall be subtracted to obtain it. ”

This is how to write it out, first find the number 70 that is divisible by 5 and 7 and divided by 3 by 1, the number 21 that is divisible by 3 and 7 and divided by 5 by 1, and the number 15 that is divisible by 3 and 5 and divided by 7 by 1. If the number is divided by 3 by the remainder 2, then the number 70×2=140, 140 is the number divisible by 5 and 7 and divided by 3 by the remainder 2. If the number is divided by 5 by 3, then the number 21×3=63 is taken, and 63 is the number divided by 5 divided by 3 and 7 and the remainder 3 by 5. If the number is divided by 7 by the remainder 2, then the number 15×2=30 is taken, and 30 is the number divisible by 3 and 5 divided by 7 and the remainder of 2. Also, 140 + 63 + 30 = 233, since 63 and 30 are divisible by 3, so 233 and 140 are the same remainder divided by 3, both are remainder 2, in the same way 233 and 63 are the same remainder divided by 5, both are 3, 233 and 30 are the same remainder divided by 7, both are 2. So 233 is a number that satisfies the requirements of the question. The least common multiple of 3, 5, and 7 is 105, so the remainder of 233 divided by 3, 5, and 7 after adding or subtracting an integer multiple of 105 will not change, so that the number obtained can meet the requirements of the question. So subtract 2 times from 233 to 205 to get 23. ”

Qian Sanyi spared no effort to show himself, and under his gaze, it was all on Chen Fan, but he found that Chen Fan didn't look at himself at all, but was writing something alone.

This made Qian Sanyi grit his teeth

In fact, Chen Fan has been studying advanced chemistry, inorganic chemistry, organic chemistry, analytical chemistry, etc. recently, and so on

"Brain domain increased by 0.05%!"

Outside the door, at this time, outside the window of the first class of high school, there were already four people standing.

"Professor Tao, Principal Li, Professor Mike, that's Chen Fan," the principal of the elite high school pointed at Chen Fan.

"Oh, yes, I'm talking about Sun Tzu's arithmetic." Tao Zhexuan looked at the blackboard and said.

"Shall we go in at once?" The principal of the selective high school asked.

"Don't worry, don't worry, let me see the level of mathematics teaching in the Holy Country, well, this kid is speaking well, but it's also in... In the words of your country, it is on paper! A short-bearded foreigner said in fluent Chinese.

"Why do you say that?" Tsinghua President Li asked.

"Because mathematicians don't ..... at all," Tao Zhexuan wanted to explain, but was interrupted by a voice in the room.

I saw Chen Fan stand up and say: "You don't need to use cumbersome columns, you can know the answer at a glance." ”

Professor Mack: "Oh! Sure enough, he is worthy of the genius of this year, Tao, Li, he can become a mathematician! ”

Principal Li: "......"

Tao Zhexuan nodded approvingly.

The principal of the elite high school was silent: "......"

The four men continued to look into the room.

It turned out that Zhao Rongbao asked: "Has Chen Fan calculated this question?" ”

Chen Fan: "I don't know what Sun Tzu is reading, and I don't need to use cumbersome columns, I can know the answer at a glance." ”

Qian Sanyi: "......"

But this time Qian Sanyi didn't believe it

The classmates also had different opinions, and they felt that Chen Fan was blowing up.

"Okay, I'll make a few more dishes, you can count it!" Money Trinity.

“123+321+654+456

987+789+4443+3378=?” Qian Sanyi casually came up with a number.

"11151" Chen Fan sat down and even picked up the pen again and wrote his own things.

Someone immediately confirmed

"That's right!"

Qian Sanyi doesn't believe in evil, and feels that the addition is too simple: "3 grains are more than 1 grain, 5 grains are more than 2 grains, and 7 grains are more than 2 grains, so how many grains are there in the original broad beans?"

”

Chen Fan replied in seconds: "37"

Qian Sanyi: "A number is between 200 and 400, it is divided by 3 by 2, 7 by 3, 8 by 5, find the number." ”

Chen Fan was unhurried: "269." ”

"Not bad." Qian Sanyi wanted to continue to ask questions, but was interrupted by a voice outside.

Zhao Rongbao immediately walked over and sneered: "Principal! ”

The classmates all watched four people walk in and looked at them curiously, and there was even a foreigner.

"Students, I announce one thing, this is the president of Tsinghua University, that is Professor Mike, and Professor Tao, why are they here, just because Chen Fan, a student from our school, in this mathematics competition, directly solved the Erdsch difference problem that has plagued the mathematics community for more than 80 years, and he is also the only perfect score in this mathematics competition, and then it is 85 points, because in the last question, only Chen Fan answered correctly, and he is the only person who answered correctly for more than 80 years."

"Professor Mike is a mathematician in charge of the Fields Medal, and he has confirmed that Chen Fan has indeed proved the Erdsch difference problem, and for this reason, in recognition of Chen Fan's achievements, this year's Fields Medal of the World Mathematical Organization will be awarded to Chen Fan."

"You may not understand the concept of the Fields Medal, but what I want to tell you is that there is no such thing as mathematics in the Nobel Prize, and the Fields Medal is known as the Nobel Prize in mathematics!"

"No, no, no, because Chen is the youngest in the history of mathematics, fifteen years old, we will generally be twenty-five years old, young people with very high attainments in mathematics, win this award, we will give him the title of Fields Genius Award, I have seen his solution process, during which he used advanced mathematics very rigorously, it can be seen that the foundation is very solid, the name of genius, in a holy language, deserves it!" Professor Mike looked at Chen Fan excitedly and passionately.