Chapter 210 Oral Math Olympiad Questions

“Give it back! Give it back! Hiss…”

Lin Mengjiao hurriedly threw the hot potato out, and her scalp became numb. This kind of problem was terrible.

“I was wrong, now I know the gap!”

“Come on Yang Kaixuan!” Lin Mengjiao waved her small fist to cheer Yang Kaixuan.

Yang Kaixuan looked at her encouragement, still feeling like stagnant water in his heart.

Soon, as the class bell rang, Yang Kaixuan stopped talking to Xu Cong and the others, and started his own Mathematical Olympiad preparations.

I started to do it one by one, one by one. These are the real questions over the years, and they are very difficult.

Of course, it is good to choose to do the real test, because it is very typical, and it is of great reference significance for people participating in the Olympic Games.

At first, Yang Kaixuan’s work was a bit jerky, and it took a long time to do the questions, but later it got better.

After all, he has a solid foundation, and he has also considered this aspect before, so he is prepared, so after being familiar with the difficulty of these topics, he can do it much faster.

But he is not good at all topics, and there are some difficult questions that he reads very worryingly.

An examination paper, if it is an ordinary examination paper, even if it is a college entrance examination paper, he will not have so much time left!

But on this test paper, Yang Kaixuan is mostly empty.

The main reasons are the following two points. There are some problems. On the one hand, he can’t understand. If he understands, he will start to do it, but on the other hand!

difficult!

It’s so difficult!

Olympiad is worthy of a duel of top talents, it is too difficult to stand out from it.

He turned his head and glanced at Xu Cong, and saw that he was watching dramas with headphones on, and he couldn’t help laughing while watching the dramas.

“Ahem! Well, Xu Cong Xu Cong, this question…” Yang Kaixuan said while pointing to this question.

topic:

Given that x∈R, what is the value of (x(x+1))+arcsin(√(x2+x+1)) under the radical?

Xu Cong didn’t mock him, his eyes fell directly on the question, it seemed to stay for a few seconds, and then he picked up the pen.

This is very rare. He picked up the pen and wrote and painted on the paper.

But before a minute passed completely, Xu Cong said indifferently, “1/2.”

Without giving Yang Kaixuan a chance to ask why, Xu Cong handed him what he had just written.

It turned out that he was too troublesome, so he used paper to calculate. This way, while giving Yang Kaixuan some face, it can save some saliva at the same time, without having to talk to him so much.

untie:

Because x²+x≥0, so x²+x+1≥1, thus ײ+x=0, so the original formula = 1/2.

The process of Xu Cong’s writing is that simple, but when Yang Kaixuan did it, he was exhausted. The most important thing is that he hasn’t done it yet! !

Yang Kaixuan looked at the answer, not daring to breathe.

“This…ah…”

He was shocked and still did not react, staring at the manuscript paper on the test paper.

Xu Cong looked at his eyes staring at the test paper, thinking he had other questions, so he took another look.

topic:

Set x≠0, then f(x)={(x+1/x)⁴-(x⁴+1/x⁴)}/{(x+1/x)³-(x³+1/x³)} What is the value?

After Xu Cong finished reading the question, Yang Kaixuan took back the parrot paper that was about to be pressed by Yang Kaixuan’s hands on the test paper, and began to write again.

Yang Kaixuan watched his movements dumbfounded. What is he doing? Could it be that there is a problem with the answer just now? ? ?

He was puzzled, but he leaned over and followed.

Let t=x+1x, then t≥2, x⁴+1/x⁴=t⁴-at²+2x³+1/x³=t³-3t, so f(x)=g(t)=(4/3)t- (2/3) t-1.

“The final is equal to f(1), so the minimum is 7/3.”

Xu Cong once again made a question that Yang Kaixuan would not know in a short period of time. Yang Kaixuan’s mouth was so big at this time that he could definitely lay an egg.



Although I finally saw that Xu Cong used the performance paper, what was written on the performance paper was to make it easier for Yang Kaixuan to read and understand.

“Um… Xu Cong, let me ask you a question. I don’t mean anything else. I just want to simply ask. If you don’t write it to me, can you just calculate the answer directly?” Yang Kaixuan said dryly. Asked dry tongue.

Xu Cong knew what he was thinking in his heart, so he immediately shook his head and said to him, “No, no, no, how could it be possible to count, you can’t count it in this process!”

Yang Kaixuan heard Xu Cong’s words, he was obviously relieved.

“call”

But the next second Xu Cong continued to say calmly: “At least you have to go through the process in your head before you can give an answer.”



Puff!!!

Fuck!!!

Is this saying that your brain is very good, but we don’t mean it?

Xu Cong, you can just say it for such simple questions as usual exams!

You don’t need to play papyrus!

But how do you even do this kind of Mathematical Olympiad questions? Are you still like this?

Yang Kaixuan no longer knows what to say, his mind is blank now, and his words are poor!

At this time, he was like a mortal who saw an old god who could fly into the sky and escape.

Humph!

Suddenly, he realized that Xu Cong said that the Olympiad competition is simple. It is not just an open mouth but a real learning experience!

Yang Kaixuan was very ashamed and said to Xu Cong: “Or I am too young! Or I too underestimate you! Hiss… Xu Cong you!!!”

Xu Cong interrupted Yang Kaixuan’s shock and gave him a suggestion, but also to gain more personal time for himself.

“If you have this time, you should read more questions.”

After Xu Cong said these words, he continued to write his own TV series. The people in it were so good. He admired the life inside, and at the same time it seemed more exciting.

Yang Kaixuan opened and closed his mouth several times, and his whole body was like a creamy eggplant. Now he really took it. He has no idea of ​​competing with Xu Cong.

This is not at the same table with Xu Cong, I don’t know, at the same table, I know what the real nightmare starts, this kind of practice is really terrifying.

The harder he worked, the bigger the gap with Xu Cong, Yang Kaixuan was puzzled, he really worked hard.

The harder you work, the more you can get in touch with new knowledge, Yang Kaixuan feels like he can do it again!

But as soon as he turned his head, Xu Cong was playing, and the new thing he had just learned was done.

Is this comparison fair? Damn it too!

Yang Kaixuan is very depressed. Did he learn new skills or Xu Cong unlocked new abilities?

In this anxiety, Yang Kaixuan finally stayed up late to study and finish school.

But he really worked hard, because Yang Kaixuan, who returned to the dormitory, was still working hard to solve the problems. It can be seen that he was working hard to prepare for the Olympiad.

The other roommates came together, and they were also very curious about how difficult the Mathematical Olympiad questions were…

But they didn’t stay for a minute, so they frowned and left, while still complaining.

“Hi! This question…”

“Farewell…”

“Yang Kaixuan, only you can do it, uh, that’s wrong…and you and Xu Cong can do this kind of problem! I look like a headache!”



Originally wanted to talk about Yang Kaixuan, but when he saw Xu Cong again, he immediately changed his words, because the boss is in the dormitory now.

PS: So sleepy, I wrote this chapter in a daze, I’m sleeping, good night everyone!

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