Chapter 64: Crouching Dragon and Phoenix are killing like crazy!
Originally, another student from No. 2 Middle School still looked dazed, sitting there quietly in a daze, forming a sharp contrast with the students around him who were busy doing their homework. It didn't look like he was here to compete at all, but rather like he was here to relax and have a vacation. But at this moment, the student suddenly changed!
Fast! It’s ridiculously fast!
Teacher Zhong looked at Chen Xiaoxin in the corner, who was doing the questions at an exaggerated and terrifying speed, so fast that even afterimages of his arms appeared.
what's the situation?
He...he solves the questions much faster than Yan Xiaoxi!
Teacher Zhong, who saw this scene, was deeply shocked by the scene in front of him. If Yan Xiaoxi's performance was like an uncrossable ditch, which made people feel painful, then Chen Xiaoxin was like a mountain towering into the clouds, which made people feel despair.
So fast.
Can his brain keep up?
Wait for him. He is the same as Yan Xiaoxi. He doesn't need to make a draft before doing the questions. He relies on mental calculation to get the answer.
Teacher Zhong bit her lips tightly, her face full of surprise and fear. When did such a student appear in No. 2 Middle School? How come she didn't know anything about it before? Could it be that he was one of the top players in the national competition like Yan Xiaoxi, and then transferred to No. 2 Middle School?
at the same time,
Teachers from other schools also noticed the change in Chen Xiaoxin. The silly student before suddenly became as brave as a god. He and Yan Xiaoxi had already started a massacre in the examination room.
"Who is this? He doesn't need a draft at all. He just writes the solution process directly on the test paper. His talent is too exaggerated, right? He looks exactly like Yan Xiaoxi!"
"It looks like a student from No. 2 Middle School. Oh my god, why is No. 2 Middle School so terrible all of a sudden? It was already hopeless to have Yan Xiaoxi, but suddenly there appeared a student whose talent is comparable to Yan Xiaoxi. I'm afraid this year's double first place will really belong to No. 2 Middle School!"
"Oh my god! I thought he was just cannon fodder just now, sitting there in a daze, but... "
Many teachers outside the venue were talking about it, with despair but also some emotion on their faces. The No. 2 Middle School, which had always been a cannon fodder, turned around this year.
At this moment, Teacher Zhu slowly raised his head and glanced at Chen Xiaoxin and Yan Xiaoxi in the venue. The smile on the corner of his mouth could hardly be suppressed. He stood up silently and walked slowly to Teacher Zhong from No. 1 Middle School and patted him on the shoulder from behind.
"Teacher Zhong!"
"How about it?"
"Is my student good?" Zhu Hongfei said with a smile, "Let me tell you, he is a native of No. 2 Middle School, not a transfer student like Yan Xiaoxi. He used to hide his talent and always ranked last in the grade in the monthly exams. This year, he stopped pretending and showed his true colors. He is a genius!"
Before Mr. Zhong could speak, Zhu Hongfei continued, "Thirty minutes! I'll give you thirty minutes at most. The two trump cards in my hand will kill the game. Oh, it's easy, boring, and not challenging at all!"
So annoying!
Teacher Zhong looked at the smug Zhu Hongfei and was so angry that he almost vomited blood, but he was also a little unwilling to accept it. After all, the competition needs to be judged by results.
"Don't be complacent."
"People make mistakes, and horses stumble."
"No one knows what will happen until the last moment of the game." Teacher Zhong said angrily.
Teacher Zhu shrugged and said meaningfully: "Teacher Zhong, I like the unruly spirit of your No. 1 Middle School. Since you still hold out hope, let's wait and see. Anyway, the results and rankings will be announced tomorrow, and then you will know what despair is!"
The words fell,
Humming a cheerful tune, he staggered to the toilet, leaving Teacher Zhong standing there with a sullen face.
When Teacher Zhu came to the bathroom alone, he clenched his fists and waved them at the air a few times, muttering to himself excitedly, "It feels so good! It feels so damn good!"
【正实数x,y,z满足xyz≥1,证明(x^5-x^2/x^5+y^2+z^2)+(x^5-x^2/x^2+y^5+z^2)+(x^5-x^2/x^2+y^2+z^5)≥0】
After 20 minutes of problem solving, Chen Xiaoxin has finished the second question, which is an inequality proof question. You can imagine how difficult it is. After reading it carefully, Chen Xiaoxin got the answer, but the answer is a bit too complicated and cumbersome, requiring more than a dozen lines of proof to get the final answer. Not only is it tiring, but it is also a waste of time!
It can be simplified!
Using the Cauchy inequality, we can simplify the problem-solving process, but...
Chen Xiaoxin pursed his lips. After using the Cauchy inequality, the process was still very long. He needed a faster and more convenient method, preferably one that could be completed in two steps!
No way!
I can only show off!
Chen Xiaoxin took a deep breath and quickly started solving the questions on the test paper.
【因为(x^5-x^2/x^5+y^2+z^2)-(x^5-x^2/x^3(x^2+y^2+z^2))=x^2(x^3-1)^2(y^2+z^2)/x^3(x^5+y^2+z^2)(x^2+y^2+z^2)≥0】
【所以∑(x^5-x^2/x^5+y^2+z^2≥∑x^5-x^2/x^3(x^2+y^2+z^2)=1/x^2+y^2+z^2∑(x^2-1/x)≥1/x^2+y^2+z^2∑(x^2-yz)≥0】
finished.
It takes less than a minute.
Chen Xiaoxin pursed his lips and without any hesitation, moved his gaze to the last question, which was also the finale of the game and the most difficult one.
Huh?
Why is it another inequality proof?
Chen Xiaoxin frowned, feeling speechless. He thought it was a difficult question, but it turned out to be a little more difficult than the previous one. It was not fun at all! It was like finding a movie online with a title that said seven boys did this to a mature woman!
As a result, after downloading for a day and a night, when I opened the movie, the movie that played was King Kong Calabash Brothers.
Useless!
Aren’t there any problems?
Chen Xiaoxin was a little frustrated. Since the question was so simple, he could only make it more difficult himself.
Show it again!
Use only one process to complete this problem.
[Let a, b, and c be the lengths of the three sides of a triangle respectively. Prove that a^2·b(ab)+b^2·c(bc)+c^2·a(ca)≥0, and give the conditions for its establishment]
After algebraic operations, Chen Xiaoxin gave the solution process.
[Answer: a^2·b(ab)+b^2·c(bc)+c^2·a(ca)≥0=a(bc)^2·(b+ca)+b(ab)(ac)(a+bc), so a≥b, a≥c, when a=b=c, the equation holds]
Completed!
Chen Xiaoxin let out a long sigh and looked at the time. It was less than twenty-five minutes. In fact, if he used the conventional method to solve the last two questions, it might take half an hour.
The competition venue was completely silent, with only the sound of pens hitting paper and the sighs of the students.
suddenly!
Two voices cut through the gloomy atmosphere at the moment, just like two huge rocks being thrown fiercely into the calm lake, instantly stirring up waves that covered the sky.
"carry out an assignment!"
"carry out an assignment!"
Crouching Dragon and Phoenix handed in their papers almost at the same time
This sudden sound frightened all the teachers and students present. They looked at the two people in amazement, one sitting in the front corner and the other sitting in the back corner.
It's not that Maomao intentionally stopped here, but that Maomao's keyboard suddenly stopped working when she was writing here.
(End of this chapter)