The teachers of other subjects were a little puzzled.
With the development of various topics, the topic was completely taken astray.
"Ring Ling Ling..."
When the class bell rang again, Xue Laiyun continued to attend class, Xu Heng was still playing games, and those teachers came in again, staring at Xu Heng.
Xu Heng played the king, and used the jungle hero Dianmozi, Baili Xuance.
"Shhhhh!"
All the way like a broken bamboo!
The scalps of all the teachers behind them were numb, and several male teachers who played this game were silently clenching their fists, cheering for Xu Heng.
Good job!
Three kills!Three kills!quick!Displacement!keep up! Nice!Four kills!marvelous!
I go!In order to prevent the pentakill from being successful, the opponent sent the tower away!
6666!
Student Xu Heng is too good!
At level 7, he even got 4 kills!
I wouldn't believe it if I hadn't seen it with my own eyes!
too strong!
He's a good gamer too!
It seems that I played a lot during class!
These teachers were frantically operating in their minds, staring at Xu Heng's screen.
The game is on.
"Ding!"
A wechat message was sent, and these teachers would not have paid attention to it, but it was Hong Jingjun who sent the message!
this!
In the classroom world, who doesn't know!
The teachers gasped...
But after Xu Heng glanced at it, he continued to play the game.
About seven or eight minutes later, he won the game before checking the news.
Teachers, "!!!"
Red King Army!
Old Hong!
You didn't respond to this old man's news in seconds!
boy!
You are too much!
But here in Xu Heng, everything is so normal.
It was Hong Jingjun who sent Xu Heng a question.
"Little guy, I thought of a good question, I'll send it to you."
Then came a picture with a line of words on it.
Obviously it was written by the Red King Army.
题目:前1000个正整数中可以表示成[2x]+[4x]+[6x]+[8x]的正整数有多少个?
The topic is just one line!
But all the teachers stared, confused.
Those teachers who were not math teachers retreated one after another, and the math teachers made up.
Just when the teachers were surprised, Hong Jingjun gave Xu Heng a question, and even asked such a weird question...
College entrance examination questions?
It's not like a college entrance examination question!
If it's not a college entrance examination question, judging by how weird this kind of question is, it should be an Olympiad question!
That's right!
The Hongjing Army gave Xu Heng a Mathematical Olympiad problem.
After the Olympiad question was sent, Hong Jingjun said, "Little guy, as a condition, you must remember to send me a question later!"
Xu Heng smiled slightly, "Old Hong, you are going too far! You obviously wanted to embarrass me, so you gave me the question."
"But what you said, we have become a courtesy?"
Hong Jingjun, "Hahaha! Come and don't reciprocate, it's indecent! Xu Heng, remember to return one of my questions!"
"Look at the question first! I'll wait for you."
Xu Heng smiled, "No need."
Hong Jingjun, "No need?"
"???"
Not only was he puzzled, but even the math teachers behind Xu Heng were also puzzled.
Why not?
???
Although this question is not as difficult as the college entrance examination question, but the question type is weird, making it difficult for people to start.
But what did Xu Heng mean when he said no need?
These teachers dare not guess!
Can't guess either!
After all, I didn't have much contact with Xu Heng.
And...they were shocked too much, and they couldn't be busy at all...
Hong Jingjun Hong Lao turned out to be friends with him!
Hong Lao actually chatted with him like this!
So did Xu Heng, who chatted with Honglao so casually!
If it were them, they would definitely be respectful...
Are you kidding me?Still complaining?Isn't this courting death...
……
They have so much to say, but—
Xu Heng's next reply turned everything into clouds.
They were completely shocked!
Xu Heng, "I know how to do it, so, Mr. Hong, you don't need to wait."
Shock for a whole year, no?
clap la la...
This group of teachers had goosebumps from head to toe.
Some people even couldn't help but gasp, "Hiss...!"
The loud one.
Someone else said, "Wow..."
What the hell!
Almost said it!
But in my heart, I don't know how many times I have been lying in the trough.
Xue Laiyun, who was facing the blackboard and asking questions, had black lines on his face and twitching veins on his forehead. He knew that these voices must be made by those teachers.
But it happens—
The voices they made were not because of themselves, but because of Xu Heng.
Xue Laiyun turned around slowly and looked at Xu Heng who was in the last row.
He obviously has a mobile phone!
These teachers are staring?
I just watched it, and I kept sucking in my breath, and "fuck me".
Nima!
Are you really okay with this?
You are a teacher by example...
What is so attractive about Xu Heng's mobile phone?
Little movie?
small picture?
You guys are too much!
In fact, this group of teachers also wanted to maintain a dignified posture, but...Xu Heng didn't allow it!
They also know that reading other people's chat records is bad, but they can't help it...
Who told Xu Heng to be chatting with Mr. Hong right now!
Mr. Red!
This one!
But a person who has made great contributions to domestic mathematics!
When these teachers were young, Hong Jingjun was their idol!
They are diehard fans of Hongjing Army!
Now, Xu Heng is talking and laughing with their idol.
Can they calm down?
What's more, after Xu Heng read the questions given by the Hongjing army, he knew the way to solve the questions, the speed, the reflection...
Simply not human!
Student Xu Heng, are you serious?
Anyway, these teachers are confused!
Those math teachers were even more ashamed.
Xu Heng put down his phone, and wrote directly on the paper:
Solution: Let f(x)=[2x]+[4x]+[6x]+[8x].
当x在(0,1)中变化时,f(x)值在12个关节点:1/8,1/6,1/4,1/2,3/8,1/2,5/8,2/3,3/4,5/6,7/8及1改变,所以f(x)在1到20中取 个不同的正整数值.
On the other hand, f(x+n)=f(x)+20n holds for any positive integer n.
将1-1000分为50段,每20个为1段.每段中,f(x)可取12个值.
故总共可取到50×12=600个值,亦即在前1000个正整数中有600个可以表示成[2x]+[4x]+[6x]+[8x]的形式.
There was no pause in the middle, Xu Heng finished writing in one go, and immediately took pictures after finishing writing, but just when he was about to send it out, he froze for a moment.
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