Chapter 98: Dark Horse
After Fang Chao finished the first logic math problem, he breathed a sigh of relief, put his pen aside, and shook his hands at the same time, without rushing to do the second problem.
He came to his life instructor and took a bottle of Baisuishan mineral water and dried it half a bottle. He took out the paper and wiped the sweat on his face and neck clean. By the way, he took a pack of Genji spicy slices and tore them apart and ate them. The taste was good and delicious. When everyone was immersed in the ocean of mathematics, this pack of spicy strips gave Fang Chao a lot of warmth, which made him sweat profusely, and made a "huhuhuhu" sound in his mouth.
"Cool!!"
So he poured a whole bottle of Baisuishan again.
Lin Teng doesn’t know how to study normally, and he is not particularly outstanding in learning, but he is really impeccable for snacks. He just chose a pack of spicy strips. Fang Chao will hand over his friend in the future!
"If you don't do your questions well, you come here to eat spicy strips... aren't you afraid of having an impact on the exam?"
A mentor came to Fang Chao and stared at him. Looking at his appearance, he couldn't help but speak.
When is it now? I still have the intention to eat spicy strips here.
Fang Chao replied subconsciously, "It took me almost fifty minutes to complete the first question. I only came to the rest area to rest for a while and eat something to replenish my energy. Teacher, don't you know, the first question is simply perverted. If I usually do a math question, it will take less than half an hour. This time, the first question trapped me for fifty minutes. The battlefield of the national finals is indeed much crueler than I thought. I wonder if anyone has already solved two questions."
"It took you fifty minutes to finish the first question?"
The instructor was a little surprised. Before the question came out, they didn't know about it. They basically blocked the news. Only when the test paper was sent out, they got a copy. However, when faced with the questions in this national finals, even they could not handle it in just fifty minutes. This kid...
You should know that many tutors are actually mathematics professors in colleges. I don’t know how powerful the math level is than these high school students. Although they can solve this problem, they cannot solve it in only fifty minutes.
Is the students in front of me a man? I will go and take a look later.
He didn't believe it anymore, and someone could really solve the first question in fifty minutes.
There is no simple question in the national finals...
What do you think of the country's decree?
Fang Chao felt energetic again after eating spicy strips and drinking mineral water. He wiped his hands clean before returning to his seat.
The second question of the national decision is started.
The second question of the national finals is as follows: For the real numbers (a, b, c, d, e) that satisfy a, b, c, d, e≥-1, satisfy abcde=5, find the maximum and minimum values of s=(ab)(bc)(cd)(de)(ea).
This question is much less word count than the first question, but if it is difficult, it will definitely not be much simpler than the first question.
The charm of mathematics lies in it here, which can make you immerse yourself in it and unable to extricate yourself.
Fang Chao finally found his own sense of existence on the second question of the National Finals.
I know this question.
A bit complicated, but not too difficult.
Let me get you done!
Fang Chao took a deep breath and then started lifting the pen.
Solution: Find the maximum value of s first.
When a=b=4, c=d=e=-1, s=288, the situation of s>0 is considered below.
It is better to let a=max{a,b,c,d,e}, then a≥1, so ab≥0,ea≥0.
Therefore ab,bc,cd,de,ea are all positive or two negative and three positive.
...
That is, the maximum value of s is 288.
Then find the minimum value of s.
...
s≥-2*3^4=-162
So the minimum value of s is -512.
"Well, it's a bit simple, so boring. This question is so easy. It only took me more than twenty minutes to get this question..."
Fang Chao was a little disappointed. Will the second question in the national finals be a sauté? It actually makes people unable to feel the challenge. Who is the person who sets the question? Come out!
The instructor who had been secretly observing Fang Chao's spicy strips was standing behind Fang Chao. He kept staring at the solution steps of the first question on Fang Chao's test paper. As a tutor, although he could not complete the steps, he knew the answer. So when he saw that Fang Chao's final answer was in the fourth room, he knew that the other party had basically got a score for this question. As long as there was no error in the steps in it, these 21 points would be considered as getting it.
So he began to slowly start to look at Fang Chao's first idea.
"That's right."
"That's right."
"good."
"Can!"
Until after reading everything, he secretly praised him, where is the province this boy from? He seems a little strong...
There are some special strong men every year in the national finals, and they are not surprised, but it is rare to solve such a question so quickly.
Fang Chao, fj province...
I seem to have seen it on the list...
A freshman in high school?
Yes, it’s a freshman in high school!
If it is other students, unless they are particularly strong, these mentors will remember that after all, nearly 400 contestants are not particularly awesome, it is difficult for people to remember them freshly. Fang Chao did not step onto such a stage as a strong man, but he entered such a field as a freshman in high school, so he would suddenly remember his particularity.
One of the few high school contestants.
But soon, his pupils dilated, and he looked at Fang Chao in shock.
In just a while, he even got the second question?
and……
step,
Answer!
Damn, all is right.
Damn it! It's only been more than twenty minutes, right? Have you completed the second question? Is this... perverted? Are you still human?
Are all the freshmen in high school today so awesome?
The first question has already hit the tutor with a heavy blow, and the quick answer to the second question has even made the tutor even more collapsed. This contestant looks not as strong as ordinary, but is so strong that it is surprising.
Perhaps he will be the strongest dark horse in this year's national finals.
After completing two questions, you can get 42 points, which can basically ensure a smooth advancement.
Wait, isn't this kid done it?
What is he doing now?
Is this the second problem-solving idea to solve this problem?
What do you think of the national finals?
Is it so easy?
"grass!!"
The instructor subconsciously said something swearing.
Chapter completed!