Mathematics in the afternoon.
The invigilators of the other examination halls did not change.
However, Xu Heng's teacher had changed to two strangers.
Xu Heng took a look.
The two teachers smiled at him, and he smiled back politely.
The exam began, and the math papers were handed out.
"If you don't have enough to act as toilet paper, tell me and I'll give it to you.”
Xu Heng said," Thank you, Teacher. There's no need."”
No need?
The two teachers were suspicious.
They looked at each other, thinking that they had heard wrongly!
Although they knew that Xu Heng got full marks, they had no idea how he answered the questions.
Xu Heng answered.
The direcire equation of the parabola y=-4x is…
……
If the function y=x 2cosx was the maximum of the interval [0, Pi/2]…
……
Given the equation (m-n) square (m-Inn Lambda) square> 2, for any m E R, n E (0, infinity), then the range of the real number Lambda is...
These two invigilators were looking at Xu Heng!
He actually didn't use the papyrus for the previous fill-in-the-blank questions!
Good!
So be it if you can't use it!
It can only mean that your brain is very powerful!
As expected of a student who scored full marks!
But-
You still don't use this question?
The two teachers looked at each other and seemed to be smiling.
Because they were a little smug.
After seeing you do those few questions, you don't have to act like a papyrus. It seems like you're provoking people.
The school had given them papyrus for the exam because they believed that the students needed it!
It's a little uncomfortable that you haven't been using it.
The two teachers were indeed a little uncomfortable before, but now they were sure that Xu Heng had no choice but to act as a papyrus!
Why aren't you obediently submitting?
Could it be that you can calculate the answer?
It was impossible!
It was absolutely impossible!
The two teachers were very happy because they had such thoughts.
But not even a minute passed…
Xu Heng wrote the answer at the back:
Lambda> 2 (2 below the square root)-1 or Lambda>-2 (2 below the square root)-1
Done!
Then, he continued with the next question.
"This…this! This…"
The two teachers were dumbfounded.
This was a test paper from the city!
No one would know the answer beforehand!
Absolutely impossible!
There was only one way for Xu Heng to give an answer, and that was to do it himself!
They were willing to believe that Xu Heng did it himself!
But-
However, this question could not be answered by just thinking!
It was useless to act as a piece of paper!
Brainless calculation?
Was this brain still human?
While they were still in shock, Xu Heng finished another question.
The two invigilators looked at Xu Heng's calm appearance and their hearts trembled.
The two of them whispered to each other.
"Does he always do the questions like this?"
" At this rate, he should be handing in his paper much earlier…"
"I'm not sure! He looks so serious. It seems like he has always been answering questions like this…"
"This is too terrifying!"
"They don't treat the questions as questions at all."
"You're a little too disrespectful to the teacher's hard work!”
Just as the two of them were muttering, Xu Heng solved another problem.
Below:
It is known that circle C passes through points A (5,1) and B (1,3), and the center C is on the x-axis.
(1) Find the standard equation of circle C;
(2) Find the chord length of the straight line 3x 4y 4=0 cut by circle C;
(3) P is a point on a straight line L: x=-2. If there is a straight line crossing point P and intersecting circle C at point M, N, and M is the middle point of line segment NPC, find the range of the ordinate of point P.
After reading the questions, he started.
Explanation:
(1) Given that the center of the circle is on the x-axis, set the coordinates of the center of the circle as (a,0) and the radius as r.
Then the circle equation is (x-a) square (y-0) square =r square, that is,(x-a) square y square =r square.
Since the circle crosses (5,1) and (1,3), the equation is:
(5-a)Square 1 square =r square
(1-a)Square 3 square =r square
The solution is a=2, r= 10 under the root sign.
Therefore, the circle equation is (x-2) square y square =10.
（2）……
……
Xu Heng did it very quickly and didn't even need to use any toilet paper.
After he finished writing, he paused.
Then, it returned to the first question.
The two invigilators came back and looked sideways.
Was it wrong?
He realized that he had done something wrong?
However, they looked at Xu Heng's answer and realized that he had to fight for it!
Just as he was puzzled.
Xu Heng wrote slowly beside the first question: "Method 2"
F * ck!
What the hell?
Did this guy think of a second way to solve the problem?
Be a human!
Can't I?
The two teachers almost couldn't breathe.
！！！
Xu Heng did not stop writing.
Set circle C(x,0), by| CA| =| CB|, got
(x-5)Square 1 square =(x-1) square 3 square, the solution is x=2, then r square =(2-1) square 3 square =10.
The equation for circle C is (x-2) square y square =10.
It was even simpler!
After Xu Heng finished writing, he didn't even look at it and mercilessly moved on to the next question.
……
Other people had to spend a lot of effort to solve math problems, but Xu Heng looked at these problems without caring about the difficulty.
He put away the draft paper first.
After that, he would be like Guan Yu, passing through five stages and killing six generals!
One slash, one kill!
If one slash didn't work, then two slashes!
Soon, the last question.
The two teachers looked helplessly at the very clean toilet paper and sighed.
"Sigh…"
They felt like they were asking for humiliation.
Helpless, extremely helpless!
Xu Heng continued to look at the questions.
The final question:
The sequence {An} is known to satisfy A1=1, A (n 1)=2An 1 (n = N*)
(1) Prove that the sequence {An 1} is a geometric sequence;
(2) Find the general term formula An;
(3) Let Bn=n, find the first n terms of {AnBn} and Tn.
Xu Heng was stunned.
The invigilator's heart quickly tensed up.
They looked at each other. They had never seen Xu Heng like this in the entire exam. Could it be that he had encountered something he didn't know how to do?
Was he going to use papyrus?
They didn't know why, but they were always conflicted. Why didn't Xu Heng play the role of toilet paper?
He didn't need to act as a papyrus. How could this be called an exam?
This was clearly disrespecting the exam!
But-
It was not that Xu Heng didn't know how to do it, but he was surprised. This question was so simple, so why was it used as the finale question?
Get started!
First, he answered,"
And then…
(1) Because A (n 1)=2An 1 (n = N*)
get A (n 1) 1 = 2 (An 1)(n = N*)
So (A (n 1) 1)/(An 1)=2 (n = N*)
Therefore, the sequence {An 1} is a geometric sequence.
(2) From (1),{An 1} is a geometric sequence with A1 1=2 as the first term and 2 as the common ratio.
So An 1=2*2[(n-1) square]=2 (n square)
So An=2 (n-square)-1
（3）……
S n =2 (n 1) square (n-1) 2
So Tn=…
He finished writing.
Xu Heng put away his brush!
Without even looking at the test paper, he stood up.
"Teacher, hand in your paper."
The two teachers were dumbfounded.
Only then did he come back to his senses." W-What? You want to hand in your paper? Aren't you going to check?"
Xu Heng smiled." Why do all the teachers like to say that?”
The two of them slapped their foreheads. They knew that Xu Heng had probably handed in his paper in advance this morning.
But that was Chinese!
He should have handed in his paper a few minutes earlier, right?
However, there was still a lot of time left for mathematics!
He finished all the math questions in an hour!
Gone?
It was done!
Before he left, Xu Heng's expression changed slightly.
These two teachers saw it clearly.
"This guy! Do you think it's too simple?"
"Is this simple?"
"F * ck…! Pah! It was really infuriating! I feel insulted!”
"At least leave some face for Teacher!”
"I've prepared some toilet paper for him, but he doesn't need it! He was given so much time and he didn't even check? This kid is too arrogant!"
"I want to see what he has to be so arrogant.”
They checked the answers directly and marked the papers!
That's right!
That's right!
That's right!
Right again!
It was still right!
Shua shua shua…
He kept typing!
From the first question to the second question, from the second question to the third question…until the last question!
Xu Heng's test paper did not have a single mistake!
The two teachers shut up!
He immediately called the City Education Bureau.
"This Xu Heng! Full marks! He submitted his paper in advance again!"
"We were too careless!"
"This guy is simply not human! I really suspect that he is a robot! Not even science fiction novels would dare to write this!"
"It's too difficult to be an invigilator and a teacher who marks the papers! The teacher who produced the test paper would probably cry until he fainted in the toilet!”
"Is it because our test papers are too simple?”
"I'm starting to suspect it."
A colleague from the Education Bureau comforted them." No, no, no! It wasn't that the paper was too simple, it was Xu Heng's problem! I just heard that he handed in his Chinese paper in advance this morning!”
"We know that!"
His colleague said," He handed in his paper an hour early, so don't worry…"
They had already submitted their papers in advance!
Relax my ass!
"What?! You said an hour? Alright then! It's fine if he handed in his paper early, but, but this guy…"
The colleague asked," But what's wrong? You guys are making a fuss over nothing!"
"But he…got full marks!"
Full marks!
Full marks!
Full marks!
Instantly, the colleague opposite her shut up without saying a word.
He was shocked.
Suddenly, he realized something." So, it was the same for the last mid-term exam? Did he finish it in advance?"
"But that's not right! Just writing it would take more than this amount of time!”
"If you want to get full marks, how can you only use that little bit of time? Don't tell me it's all verbal divination!"
The teacher on the other side nodded." Yes, some questions are calculated by him! Even if you act as a papyrus, you're still clean!"
Puchi!
He couldn't take it anymore. His defense was broken!
One hit!
It was as if a world-destroying bomb had been detonated. His world had completely collapsed!
Completely gone!
He was stunned.
She held her phone in a daze.
"Hey! Are you still listening? Hey!"
“……”
Full marks for Chinese!
He scored full marks in Mathematics again!
When this matter was reported to the City Education Bureau," Hiss…"
The director personally reported to the province.
"Yes, it's like this! Xu Heng's results for these two subjects had already been announced!”
"We always thought there was something wrong with Spruce High School.”
"But…I think we're thinking the opposite!”
"Yunshan High School did cover up some facts, but it was done out of goodwill!”
"After all, this classmate is really too unbelievable.”
The provincial leader frowned slightly." What's the specific situation?”
"In order to obtain Student Xu Heng's results in the first instance, a portion of our invigilators are the examiners. After the invigilators are done, they will immediately mark and evaluate Xu Heng's test papers.”
"According to the Chinese and Mathematics exams, Xu Heng scored full marks!”
"But this full score is completely different from what we imagined.”
"First of all, Xu Heng submitted his Chinese paper an hour in advance. Secondly, his writing, oh no, the words he wrote when answering questions are comparable to calligraphy! European script!"
"And his essay, Red Rabbit's Death, is not inferior to his previous essay in classical Chinese!”
"Secondly, it's his mathematics. He also submitted his paper in advance!”
"According to the teacher's feedback, his mental arithmetic ability is outstanding. He can even do the fill-in-the-blank questions!”
"The big questions at the back seem to be too easy for people to use!”
After saying this, the director himself gasped.
The leader on the other end of the phone fell silent.
"Oh, right, and…I heard that Mr. Lin Xiyuan went to Yunshan High School!”
The other party was shocked." The previous president of the National Calligraphy Association?”
"Yes!"
" What is he doing there…Could it be because…"
The bureau chief said," I roughly understand the whole matter. Our invigilator praised Xu Heng's writing and posted it in the group. Mr. Lin Xiyuan's students saw it, and then Mr. Lin Xiyuan saw it.”
"I heard that he rushed to the airport at that time!”
The provincial leader finally couldn't hold it in anymore." Hiss…"
This was a great leader who had seen all kinds of things.
But at this moment, he was shocked.
In the past, no matter the situation or occasion, he was always calm and collected.
But now, he could not hold on any longer.
"So, all this while, we thought that Student Xu Heng's full marks in all subjects were easy in his own eyes?”
The chief said," That's probably the case…"
"Hiss!"
The second time.
The leader on the other end of the phone did not know what to say.
Such a student!
Not to mention a city, you wouldn't even be able to find it in the entire province!
Even in the past few decades, he couldn't find it!
"I thought that getting full marks in all subjects was due to luck, but we still underestimated him!”
"You can get full marks even if you hand in your paper in advance?"
Finally, the city and the province realized Xu Heng's true strength!
Language had always been a subject that was harder to get full marks in exams, but Xu Heng still got full marks!
He even handed in his paper in advance and left!
The city's bureau chief added," He finished it in one go and handed it in. The teacher asked him if he wanted to check it. From his expression, it seemed like he was telling us that there was no need!”
Too arrogant!
He was too arrogant!
"Send me the electronic files of the Chinese and Mathematics papers.”
The director immediately went to make the arrangements.
When the provincial leaders saw Xu Heng's test papers, especially the Chinese test papers, they were shocked.
"Although I was prepared, this word…Hiss! No wonder Mr. Lin Xiyuan would personally go to Yunshan High School!”
Thank you for the mainstream monthly votes!
Kneel and beg for peace!
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