Qin Ke is not the first to ponder low-level knowledge through higher-level thinking, and he will not be the last. At least the Austrian mathematician Professor Martin in the IMO opening ceremony is doing similar things.

But people like Qin Ke, whose high school mathematics Olympiad theory and practical skills, and undergraduate mathematics theory level have reached the top of the world, should be unique.

Qin Ke closed his eyes, sat quietly in the examination room, grasped the extremely precious and fleeting inspiration, and began the first real creation and improvement of the mathematical theory system in his life.

Through the S-level knowledge "Exploration and Detailed Explanation of Nonlinear Partial Differential Equations 'Navier-Stokes Equations' (Part 1), (Part 2)", he has seen what is a super-high-level disciplinary vision, a global perspective

Thinking way, and I have used the high school mathematical thinking way when compiling mathematics teaching aids for junior high schools, so I have some experience.

What's more, the knowledge imparted to him by the system, whether it was high school Olympiad mathematics or undergraduate mathematics, was an extremely scientific and reasonable knowledge system, and there were no blind spots in knowledge points, and no obscure knowledge points were missed.

Now when it comes to the breadth of mathematical knowledge in high school and college, no one in the world can surpass Qin Ke.

What Qin Ke has to do at this time is to smash all the mathematical knowledge into pieces, use the undergraduate or even higher-level thinking method as the framework, blend it in, and create the most effective, scientific method that is most suitable for top high school students.

The theory and practical system of Mathematical Olympiad are introduced.

Time passed by bit by bit, Qin Ke sat in his seat like a stone sculpture, like an old monk in meditation.

Many of the candidates around him had to give up on the difficult threshold question and instead attack the four major questions that followed.

As for the top experts such as Hill of the American team and the meditation candidates of the Xiong country, they have already completed the threshold questions and are sharpening their skills for the second question.

An hour has passed, two hours have passed, and Qin Ke still hasn't opened his eyes, still concentrating on thinking about his theoretical system.

Inspiration is fleeting. If he cannot seize this opportunity, he will not know when he wants to create such an Olympian mathematical theory system next time.

Of course, Qin Ke also retained a trace of clarity. He knew that he was in the exam. The time he gave himself was four hours plus 10 minutes. If after four hours and 10 minutes, he still failed to create his own brand new Mathematical Olympiad

Theoretical system, he just interrupted with regret, and then started to answer questions.

50 minutes was more than enough time for him to write out all the answers he had originally thought of.

In Qin Ke's brainstorming, three hours passed in the blink of an eye...

Candidates in the same examination room began to take a break and ate biscuits and chocolates. There were slight chewing sounds everywhere.

Qin Ke's strangeness attracted the attention of many candidates, but those who were taking a break just thought he couldn't do the questions and didn't care.

The invigilator who was patrolling the exam wanted to come over and check on Qin Ke, but when he saw that his answer sheet was blank, his expression was very calm, his breathing was even, he seemed to be sleeping but not sleeping, and it didn't look like there was anything wrong with his body, so he walked away again

.

There are all kinds of students in the IMO examination room. It is not uncommon for students to sleep all the time and hand in blank papers. Moreover, the first threshold question of IMO this year is so difficult. It is estimated that less than one-tenth of the candidates can do it.

It was not an accident that this Xia State candidate gave up his answer sheet.

The young brown-haired invigilator who gave Qin Ke an extra answer sheet happened to pass by and saw Qin Ke's answer sheet, and shook his head. This Xia Guo examinee couldn't even answer a single question, and he was so brazen about asking for more.

Two answer sheets? To wipe your butt?

Liang Shaoping was sitting just behind Qin Ke.

He rubbed his temples and put down the pen in his hand a little tiredly.

He only solved two of the five big questions in three hours, not including the threshold question. In other words, he only got one question right, which made him a little disappointed, but luckily

What's interesting is that he used the new techniques Qin Ke taught in class to solve these two questions, and should be able to get 7 points.

He picked up the biscuit and put it to his mouth. Just as he was about to bite it, he suddenly saw Qin Ke in front of him on the right.

Huh? Why is Teacher Qin still there in a daze?

Every time he finished a question before, when he raised his head and blinked to relieve the dryness of his eyes, he would subconsciously look at Qin Ke.

That was his idol, his guiding light, but every time he looked over, Qin Ke was sitting there without even moving a pen.

It’s strange. Teacher Qin can’t do even one question? It’s impossible, absolutely impossible. He can do two questions by himself. Teacher Qin should be able to do them all!

Could it be that while he was working on the questions, Teacher Qin had already completed the entire paper and was now closing his eyes to rest?

But...looking vaguely from a distance, the answer sheet on Teacher Qin's desk seems to be blank...

Well, forget it, for a scholar like Teacher Qin, who has to worry about it? Maybe it’s because he saw it wrong? Or maybe Teacher Qin wrote all the answers on the other side of the answer sheet.

Liang Shaoping suppressed the doubts in his heart and continued to do the questions...

Seeing that almost four hours had passed, Liang Shaoping looked up again and saw Qin Ke still sitting in his seat, neither touching the pen nor the biscuits and water on the table.

Could something have happened to Teacher Qin? Liang Shaoping finally became a little worried. At this time, someone raised the "HELP" sign, and Liang Shaoping recognized that it was Hill from the American national team.

However, Hill whispered something to the invigilator, and then the invigilator put away his test paper, answer sheet, and draft paper and put them into a sealed bag. Hill actually handed in the paper in advance!

Liang Shaoping was shocked. Has Hill already completed five big questions? He is worthy of being the two-time gold medalist the year before and last. He is so powerful, isn't he?

Hill put away his stationery and documents, stood up and looked around. When his eyes fell on Qin Ke and the answer sheet in front of him, he showed a look of surprise and confusion. However, he did not speak, but left the examination room with a confused expression.

.

This chapter is not finished yet, please click on the next page to continue reading the exciting content! Hill's look made Liang Shaoping panic slightly. Could it be that Teacher Qin really didn't finish any questions?

The remaining candidates were a little commotion. Only Qin Ke remained motionless with his eyes closed. But if anyone could see his state, they would be shocked and speechless.

Countless mathematical knowledge turned into fragments and filled his mind, forming a huge thinking storm. Qin Ke sat cross-legged in the thinking storm, and everywhere he looked, there were shining mathematical truths.

At this time, in Qin Ke's eyes, various mathematical disciplines and subdivisions had a vague sense of mystery that could be blended and refined.

But what Qin Ke wants to do now is not just a simple integration of subjects, but a more advanced, higher-level, more optimized, and more scientific high school mathematics Olympiad system.

Someone once said that the High School Mathematical Olympiad is different from the regular exam-oriented mathematics, and it is also different from the efficient and profound college mathematics. It is an alternative and more unique mathematics system. It pays attention to solving complex problems with high school knowledge.

Just like those craftsmen who are obsessed with building castles with toothpicks, they are ancient and creative, clumsy but extremely ingenious.

But Qin Ke does not agree with this concept.

Mathematics never deviates from its principles, and Mathematical Olympiads are no exception. The reason why it is difficult is that the person who asks the question stands at a higher height than the person who answers the question.

Especially IMO, the test takers are all world-famous mathematicians and university professors. They used their advanced mathematical thinking to build a castle gate with many mechanisms, but only gave the candidates relatively simple tools to build a gate to enter the castle.

key.

This is a different level of thinking suppression. Even a high school student with excellent mathematical talent or even a genius level will have to go through a lot of hard thinking to figure out the answer under such thinking suppression.

The theoretical system Qin Ke is creating now is to use the same high-level way of thinking to create a set of master keys, so that those deliberately complicated mathematical puzzles can reveal their simplest and most essential prototypes in his eyes. He only needs to

Just insert a key and you can break the door!

Qin Ke turned his thoughts into a night sky, and embedded mathematical knowledge into the boundless blue night sky with higher-level thinking rules.

The stars of knowledge shine, exuding the light of wisdom, flashing and echoing, connected with countless "connections" to form constellations, and then combined to form nebulae, and finally to form galaxies.

More and more knowledge stars are dotting the night sky, slowly forming a dazzling and beautiful star sea wonder!

This is a beautiful scenery that only Qin Ke can see, a gorgeous scenery exclusive to top mathematics students!

When all of Qin Ke's mathematical knowledge turned into stars that filled the boundless night sky, all the constellations and nebulae formed a gorgeous and bright galaxy, as magnificent and complete as a starry sky map!

And every star that symbolizes knowledge seems to shine with unprecedented brilliance at this moment!

The journey of the sun and the moon, if you can get out of it!

The stars are so bright that they look like they are out of it!

…

After another two minutes, the meditation candidate from Xiong Country also handed in his paper and left. Many candidates in the examination room could not sit still. Some who had been sitting for nearly an hour helpless also handed in their paper in dejection.

Mathematics is like this. If you can, you will, and if you don’t, you won’t. Even if you rack your brains, you can’t come up with the answer.

Only very occasionally, after repeated and repeated, continuous and continuous hard thinking, an idea will suddenly flash and the idea of ​​​​solving a problem will be suddenly captured... But the probability of this is so low that at least Liang Shaoping wants to give up.

He still only solved the previous two questions. The remaining three questions were like extremely solid and well-defended fortresses, leaving him with no way to start and no hope of cracking them.

"If it doesn't work, just give up." Liang Shaoping said to himself, instead of struggling here and struggling, it is better to leave this stressful place, go back to relax and prepare for tomorrow's DAY2 exam.

But he wasn't willing to give up just yet. Teacher Qin didn't even leave, so why was he so anxious?

If you wait a little longer, what if you can come up with an idea to solve the problem?

Just as he kept pouring chicken soup for himself, he suddenly saw Qin Ke's body moving suddenly, as if he had woken up from trance and stretched.

The young brown-haired invigilator also happened to pass by Qin Ke. He sighed and was a little funny when he saw this. Didn't this student just wake up?

But when he accidentally saw Qin Ke's calm eyes and those stern eyes, he was stunned.

What a pair of eyes!

It seems to be brighter and dazzling than any gemstone in the world, and it also contains the changes of stars in the sky, mysterious and complex laws, and it also seems to be the tranquility of the clear wind, flowing water, and the reflection of the moon in the deep pool.
Chapter completed!