I Exchange For Black Technology By Blowing Up The Bully

On the opposite side, Zhuang Qiyan silently stared at Qiu Lingshan, with a little anger in her small eyes.

This person is not kind!

Qiu Lingshan is a provincial contestant, she doesn't know the questions, do you expect Song He to be able to?

The whole grade knew that she and Chu Long had a deep friendship, and that a master-level math expert beside her didn't ask for advice, but came to pester the freshman juniors, saying that she didn't have any evil intentions, who would believe it?

Zhuang Qiyan thought about Qiu Lingshan's reason for coming, and soon had a guess.

Or, she is using this to hook up with the handsome junior!

With Song He's good looks, Yan dogs can't help but feel good about him. In this world, most of them are Yan dogs, and Qiu Lingshan is probably no exception.

Or, she was trying to make things difficult for Song He!

Zhuang Qiyan didn't know why she made things difficult on purpose, but she could probably guess that last night Song He broke Chu Long's record and became big news in the school. It is likely that Qiu Lingshan was entrusted by Chu Long to come to suppress Song He and retaliate by beating him.

Zhuang Qiyan stared at Qiu Lingshan with fierce little eyes, thoughts spinning rapidly in her mind, looking for an angle to attack her.

"Hiss, it's a bit difficult!" Song He looked at the test book and scratched his head, "Give me five minutes, please?"

"Okay, okay, think about it slowly!" Qiu Lingshan encouraged with a smile.

Qiu Lingshan felt refreshed in her heart, calm down, biting the hook to death! How dare you take the initiative to tell the time!

Let alone five minutes, even if you were given fifty minutes, you wouldn't be able to do it!

Just kidding, the question that neither Chu Long nor I can do, can you do it?

If you can do it, I'll eat the competition book on the spot!

"Qiu Lingshan, you're in the third year of high school, and you're still receiving the provincial mathematics award. Isn't it a bit embarrassing to ask a freshman student a math problem?" Zhuang Qiyan couldn't help it, and frowned.

Song He was surprised, and looked up at Zhuang Qiyan strangely, senior sister, aren't you also a senior in high school? You ask me more questions every day than anyone else! I'm almost becoming your tutor!

The next second he suddenly realized, no, senior sister Zhuang is beautiful and kind, and she probably wanted to help out!

"Senior Zhuang is right, it's really a little hard to be human." Song He said, "But it's okay, since I can do these questions, Senior Sister Qiu Lingshan can't, so I can teach her."

As soon as these words came out, the atmosphere on the table changed suddenly!

Zhuang Qiyan and Qiu Lingshan both turned their heads and stared at Song He in amazement, doubting their own ears.

"You can do it?" Qiu Lingshan couldn't believe it.

"I have ideas for questions 8, 9, and 10. I haven't read them later, so I will write down the steps for you first." Song He tore off a piece of draft paper and started writing directly.

Zhuang Qiyan breathed a sigh of relief, the junior is stable enough!

Qiu Lingshan's eyes widened, staring at Song He's quick writing steps, her mind was in a mess on the spot.

He started writing steps! He even started to write steps!

How can it be! Neither Chu Long nor I know how to answer the question, so he understood three questions in just a few minutes?

wrong! Song He can't get it right! He must be thinking wrong, there must be mistakes, there must be...

"The detailed steps of the eighth question, senior sister, please ask me if you don't understand." Song He pushed the draft paper over.

Qiu Lingshan was stunned, staring blankly at the draft paper with a lot of steps written on it, suspecting that she was dreaming.

Um? How did it really work out? The answer is still right? ! !

Qiu Lingshan's head was full of question marks.

Song He watched her from the sidelines, a little confused.

Why is senior sister Qiu Lingshan so stupid? The steps are clearly written, you should read carefully! Why are your eyes out of focus? Is this really the legendary Qiu Lingshan who won the provincial award? Not a counterfeit, right?

Sighing helplessly, Song He poked the steps with the tip of his pen, ready to explain it himself.

"Senior, listen up, I'll just say it once!" Song He tapped his pen on the table.

Qiu Lingshan's out-of-focus pupils suddenly focused, and her eyes that were distracted by surprise regained their spirits, and she quickly listened carefully.

"This question involves manifolds. Real n-dimensional manifolds are Hausdorff spaces. Do you understand that?" Song He paused tactically.

Qiu Lingshan shook her head ignorantly, manifold? Actually this question involves manifolds? !

"Don't understand? No wonder you can't do it!" Song He frowned, his expression faintly disgusted, "The foundation is not solid, senior sister, go back and fix it. Let me explain it to you. How much you can understand depends on your ability."

Qiu Lingshan felt like a thunderbolt from the clear sky, but her foundation was not solid? I have saved the award and you said that my foundation is not solid? Besides, is there a half-money relationship between the manifold and the foundation?

"Any two separate points in the Hausdorff space have their own disjoint open neighbors..." Song He spoke smoothly.

"Look here, there is a bijective f between space X and Y, two continuous mappings, indicating that they are homeomorphic..."

Qiu Lingshan pulled herself together and followed Song He's explanation.

She was in shock now, and her whole body was completely numb. A junior high school student was teaching her manifolds seriously, which felt like a junior high school student was teaching calculus.

But what she said was correct enough for her to understand, so despite the numbness, she tried her best to save a little bit of reason, and tried her best to understand Song He's explanation.

As the steps were advanced step by step, Qiu Lingshan's face became more and more surprised, her thoughts were gradually cleared up!

Finally, the eighth question is about the final result.

Perfect problem solving, no mistakes!

"Understand?" Song He asked.

"Understood!" Qiu Lingshan stared blankly at him, stammering, "You...you really did it..."

[You taught Qiu Lingshan part of the knowledge, and you will get double math rebates! 】

Looking at the system prompt in front of him, Song He showed a relieved smile, and it seemed that his words were not in vain. The provincial scholarship student still has something, the state of being stupid just now should be accidental.

"Don't talk nonsense! Look at the ninth question!" Song He tapped the question book with the tip of his pen, his face turned serious, and ordered.

Qiu Lingshan obediently looked down at the question, and only realized after a few seconds that his tone just now seemed to be an order?

Before she could react, Song He started to write a series of proofs quickly on the draft paper. The writing was smooth and brilliant.

Qiu Lingshan didn't care about other things, and concentrated on the proof process.

Her eyes widened quickly, flashing various emotions, doubt, surprise, surprise, bewilderment...

"Do you understand? The core of this question is proof by contradiction." Song He said.

"A counter-proof?" Qiu Lingshan frowned, "I know about a counter-proof, but you..."

"It is not possible to directly disprove this question. A common method used is derivative reasoning. First assume that it is true, and list several reasons for it. If one of these items is false, it is impossible Really."

"To prove this step, we need to rely on the knowledge of manifolds. This is a coffee cup, which can be topologically turned into a doughnut. You should understand this? If you don't understand it, you don't need to learn it. Just go home and sleep."

"The four critical points of the donut, the highest point is extremely large, the height decreases along the vertical direction, the Mohs index is 2, the second highest point is the upper saddle point, the index is 1, the lowest point is extremely small, and the height increases in any direction , index 0, so it can be described by 2, 1, 1, 0..."

Song He patiently continued to speak step by step, occasionally sarcastically, before Qiu Lingshan could react, he continued to speak.

Qiu Lingshan was fascinated by listening, completely fascinated, her thoughts were like a doll at the mercy of others, ups and downs following Song He's narration.

At first she came here to find fault, but at this moment she forgot why she came, and was completely immersed in the topic, immersed in Song He's eloquent narration.

In front of Song He's eyes, reminders kept popping up:

[You taught Qiu Lingshan part of the knowledge, and you will get double math rebates! 】

[You taught Qiu Lingshan part of the knowledge, and you will get double math rebates! 】

...

Finally, the last question is over!

Qiu Lingshan's whole state was different, she was silent and thoughtful.

At this time, she was completely transparent, and her thoughts were extremely clear. The topic that seemed stinky and hard before, after Song He's understatement, turned out to be so simple!

Even, so beautiful!

Learning these questions is still the second thing. When Song He talked about the questions, he mentioned many ideas for cutting into the questions.

It was the first time in Qiu Lingshan's life that she heard these thoughts, and her whole body felt like being struck by lightning, and it was still struck by lightning one after another!

How can you enter the question like this! What an ingenious idea! There is such an easy technique!

At this moment, she suddenly let go of her previous suspicions, Song He is indeed amazingly talented, no wonder the aunt gave him the book, indeed he deserves it more!

Such a kind and intelligent junior, I actually felt jealous, and deliberately came here to make things difficult... Jealousy makes me ugly!

wrong! How can I think so! It was supposed to be my book!

But... But Song He is really amazing and talented... If I were an aunt, I would also appreciate such a student...

wrong! I'm bewitched! How am I bewitched!

Qiu Lingshan sat there blankly, her face changing rapidly, resentment for a while, guilt for a while, over and over again, like a battle between inner demons.

Song He watched from the side, feeling that she was seriously ill and should see a psychiatrist.

"Ahem!" Song He couldn't help it, "Do you understand?"

"Understood, I understand! Thank you!" Qiu Lingshan was excited, "I seem to have enlightened, I'll go back and sort out my thoughts!"

After finishing speaking, she left in a hurry, ecstatic.

Song He looked across and stared at Zhuang Qiyan.

Zhuang Qiyan couldn't understand the whole process, but she was shocked.

Junior is so fierce? Can I give Qiu Lingshan a lecture?

Zhuang Qiyan was terrified after thinking carefully, didn't she mean... Song He's level is comparable to the provincial award?

High school, provincial award level, what kind of monster is this?

"Bull!" Zhuang Qiyan whispered.

"Basic exercises." Song He was modest, and lowered his head to answer the question.

Just after doing the question, another system prompt popped up in front of my eyes, which I have never seen before!