Become a master from now on

Chapter 98 The Dark Horse
After Fang Chao solved the first logical math problem, he breathed a sigh of relief, put the pen aside first, and shook his hand at the same time, not rushing to do the second problem.

He came to the life mentor and took a bottle of Baisui Mountain mineral water and drank half of it. Then he took out a tissue to wipe off the sweat on his face and neck, and took a pack of Genji spicy slices by the way. Come and eat it, it tastes good, very delicious. At this time when everyone is immersed in the ocean of mathematics, this pack of spicy sticks gave Fang Chao a lot of warmth, and made him sweat profusely, with a tingle in his mouth. The voice of 'huhuhu' came.

"Cool!!"

So he downed another whole bottle of Baisui Mountain.

Lin Teng didn’t know how he studied. He wasn’t particularly outstanding in studies, but when it came to snacks, he was really impeccable. He just chose a pack of spicy strips here. His friend, Fang Chao It will be settled later!
"I didn't do the questions well, but came here to eat spicy noodles...Aren't you afraid that it will affect the exam?"

A mentor came to Fang Chao's side and stared at him. Looking at his appearance, he couldn't help but speak.

What time is this, and I still have the mind to eat spicy strips here.

Fang Chao replied subconsciously, "I finished the first question. It took me almost five or ten minutes. I just came to the rest area to rest for a while and eat something to replenish my energy. Teacher, you don't know. This is the first question. A question is simply abnormal. I usually do a math problem that is the most complicated, and it takes less than half an hour. This time, the first question trapped me for five to 10 minutes. It’s much more cruel, I don’t know if anyone has already solved the two questions.”

"Did you spend five and ten minutes to finish the first question?"

The tutor was a little surprised. Before the question came out, the tutors didn't know about it, and basically blocked the news. Only when the test papers were issued, they got a share, but facing this national final Even they couldn't solve the problem in just five or ten minutes. This kid...

You must know that many of the instructors are actually mathematics professors in universities, and their mathematics level is not known to be much stronger than these high school students. Although they can solve this problem, they have no way to solve it in only five to ten minutes.

Isn't the student in front of you foolish?I'll have to go and have a look later.

He still doesn't believe it. Someone can solve the first question in five to ten minutes.

None of the questions in the national finals are easy...

What do you think of the national decision?

And Fang Chao, who had eaten the spicy strips and drank the mineral water, felt energetic again. He wiped his hands clean before returning to his seat.

Start the second question of the national decision.

The second question of the national decision is like this: for all the real numbers that satisfy a, b, c, d, e≥-1 and satisfy a+b+c+d+e=5 (a, b, c, d, e) Find the maximum and minimum values ​​of S=(a+b)(b+c)(c+d)(d+e)(e+a).

The number of words in this question is much less than that of the first question, but in terms of difficulty, it will definitely not be any simpler than the first question.

The charm of mathematics lies here, which can make you immersed 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 can do this question.

A bit complicated, but not too difficult.

Let me get you over with!

Fang Chao took a deep breath, and then began to pick up his pen.

Solution: Find the maximum value of S first.

When a=b=4, c=d=e=-1, S=288, the following considers the case of S>0.

Let a=max{a, b, c, d, e}, then a≥1, thus a+b≥0, e+a≥0.

Therefore, a+b, b+c, c+d, d+e, e+a 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. It's so boring. This question is too easy. It only took me more than 20 minutes to solve this question..."

Fang Chao was a little disappointed. Will the second question in the national finals be Jiangzi?It makes people unable to feel the challenge, who is the one who made the question, come out!
And the tutor who was watching Fang Chao eat spicy strips in the dark did not know when he stood behind Fang Chao. He had been staring at the steps of solving the first question on Fang Chao's test paper. As a tutor, although he could not complete the steps , but he knew the answer, so when he saw that Fang Chao's final answer was the fourth room, he knew that the other party basically got points for this question, as long as there were no mistakes in the steps, then this 21 points is considered a success.

So he began to slowly start to look at Fang Chao's first thought.

"Yes."

"Yes."

"good."

"can!"

After watching everything, he secretly wondered, which province did this young man come from?seems a bit strong...

It is not surprising that there will be some special strong players in the national finals every year, but it is rare for such a problem to be solved so quickly.

Fang Chao, Fujian Province...

I seem to have seen it on the list...

Freshman?
Yes, it's a freshman in high school!

If it is other students, these instructors will remember unless they are particularly strong. After all, there are nearly 400 contestants. On such a stage, he entered this kind of arena as a freshman in high school, so his specialness will be remembered immediately.

A rare high school freshman contestant.

But soon, his pupils dilated, and he looked at Fang Chao in shock.

In such a short time, he even solved the second question?
and……

step,

Answer!

Nima, everything is right.

Fuck!This is less than 20 minutes, right?Have you finished the second question?Is this... perverted?Are you still human?

Have all the current high school freshmen reached this point?

The first question has already dealt a heavy blow to the instructor, and the quick answer to the second question has caused the instructor to collapse. This contestant does not seem to be generally strong, but unexpectedly strong. .

Perhaps he will be the strongest dark horse in this year's national finals.

After completing two questions, getting 42 points is basically guaranteed to advance smoothly.

Wait a minute, isn't this kid finished?
What is he doing now?
This is to use the second problem-solving thinking to solve this problem?

What do you think of the national finals?

Is it so easy?

"Fuck!!"

The instructor subconsciously uttered a dirty word.

(End of this chapter)