The system development of a scholar

Chapter 11

The next morning, Xu You still got up at one past seven.When he left the room, he saw that his parents were all ready to go.

Seeing his son, Chen Shu showed a guilty look, and said distressedly: "This week when Mom is away, you have to take good care of yourself and eat well."

"Ah~"

Yawning, Xu You said helplessly, "Mom, I'm already eighteen, and I know how to take care of myself, so don't worry."

Xu Tan also said: "Don't worry about it, he is so old, how can he still make himself hungry?"

Chen Shu glared at her husband, then said to Xu You, "Son, you must take care of yourself."

"Do not worry."

Xu You stepped forward to give his mother a hug, and said, "I wish you all success."

Xu Qin looked at Xu You, smiled embarrassingly, looked at the time, and urged Chen Shu: "Hurry up, in case there is a traffic jam along the way."

"What's the rush!"

Chen Shu took out 3000 yuan from his handbag and gave it to Xu You, "Your cousin arrives at 10:30, you can go to the station to pick her up, the money is the living expenses of the two of you, take her around more, it's hard to come once."

After receiving the money, Xu You nodded and said, "Yes, I see."

"Then... your dad and I will leave, you can stay at home well." Chen Shu raised his hand and patted his son's head reluctantly.

Compared with Chen Shu's reluctance, Xu Tan was much more active. He had already pulled the trolley case and walked to the door. "Let's go, the taxi we ordered is downstairs."

"Mom will buy you a gift when she comes back." After kissing Xu You on the forehead, Chen Shu turned and left.

"Mom and Dad, be careful."

Seeing off his parents at the door, Xu You turned around and looked at the suddenly empty home, feeling a little lost in his heart.

After going to the bathroom to wash up, and then eating the hot breakfast cooked by his mother in the pot, Xu You went back to the room and took out the papers and began to study the questions.

He thought about it yesterday and felt that it was necessary to slow down his studies during this holiday.

One is to digest the knowledge memorized in a hurry during this period of "cramming", so that you can strengthen your control over knowledge, reverse the current "from surface to point" way of thinking, and achieve a more efficient "from point to surface", as long as When you think of a knowledge point, you can extend your thinking and associate the related knowledge from easy to difficult one by one, and have a clear pattern in your mind.In this way, when solving problems, he can think of the fastest solution in the shortest time.

The second reason is that since it is a holiday, you should take it easy and enjoy the holiday time while you are busy.

Although it is said that in the third year of high school, there are no holidays, no hobbies, no entertainment, and even the slightest thought of playing is sinful, but that is only for some people.

Xu You just wasn't that part.

Just like his grades dropped after he was divided into arts and sciences in the second year of high school, Xu You could still maintain excellent grades if he devoted himself to studying hard, but he chose the Buddhist department.

The difficulty of this math paper is average, only the finale is a bit difficult, so Xu You had to stop writing and think.

This is a question about functions.

设f（x）=4x/4x+2，若a大于0小于1，试求：
(1) The value of f(a)+f(1-a);
（2）f（1/4011）+f（2/4011）+f（3/4011）+…+f（4010/4011）的值；
(3) Calculate the value domain.

Seeing the word "try to find" in the title, Xu You originally refused and didn't want to try, but after reading the problem, he was immediately attracted, and then he thought hard to find a solution to the problem.

This feeling is like when you are in the jungle, it is very boring, but when you turn around, you see a group of panic-stricken old men passing by, are you surprised?Do you want to fight?

You must jump up and be a big one!

“第一问倒是简单，只要把a和（a-1）代入到函数中，得到式子：4^a/（4^a+2）+4^a-1/（4^a-1 +2），然后一路简化下来，得到的是1。

However, the second and third questions..."

Because there were very few similar questions before, Xu You really didn't have a clue for a while.

"Ding Lingling..."

Just when Xu You came up with a clue and was about to start writing to try to explain it, the cell phone he threw on the bed rang in a hurry.

"Oh, who is it!"

His already vague thoughts were suddenly interrupted, Xu You threw the pen on the table irritably, got up to get the phone, picked it up and saw it was his mother.

"Did you forget to bring something..."

After muttering, Xu You connected: "Mom, what's wrong?"

Chen Shu asked, "Have you arrived at the station yet? Your cousin said the train will be early, so it's already here."

"Oh!"

Xu You slapped his forehead, hey, why did I forget about picking up my cousin, so he hurriedly said, "Hurry up."

Chen Shu certainly didn't expect his son to study so hard that he forgot the time, and he was still at home and didn't go out, so he ordered: "After picking up your cousin, take her to eat first."

"Well, I got it, Mom, hang up first, I'm going to get off here."

"Okay, call me if you get it."

"understood."

After hanging up the phone and hailing a taxi with his mobile phone, Xu You took the wallet key and left the house in a hurry.

Because the road was a bit congested, it was almost eleven o'clock when Xu You arrived at the high-speed railway station.

He hurriedly found his cousin's phone and called it. After two beeps, he was finally connected, and then his cousin Li Gusui asked angrily, "Xu You, do you not want me!?"

"Where is there..."

Xu You smiled awkwardly, and then hurriedly asked, "Where are you, cousin? I'm already at the door."

"Where……"

After a short pause, Li Gusui said, "I'm standing opposite that little brother who eats ice cream."

"..."

Xu You looked up at the sky, and thought to himself, why don't you say that you are under those cotton candy-like clouds?
He asked again: "Is there anything conspicuous around you, such as a ramen restaurant?"

Li Gusui paused for a while, and said, "Beside me is a bald old man."

"Is this conspicuous?"

"His head is very red from the sun."

"Don't be rude, just talk about it." Xu You turned around and wanted to leave.

"Oh, turn around then."

Xu You turned around, and saw a young and beautiful girl standing behind him, holding a mobile phone to her ear in one hand, and a trolley case in the other.

A long printed dress that hangs down to her ankles is very old-fashioned, but it sets off her as pure as a white lotus; she is tied with a pair of braids, hanging on both shoulders, and wearing a woven straw hat, which has an elegant temperament.

She took two steps forward, then raised her leg and lightly kicked Xu You's calf, and said a little savagely, "I'm here so late, I kicked you!"

With a light kick, Xu You didn't even feel any pain, and said with a smile, "Isn't this a traffic jam on the road?"

After telling a little lie, Xu You took the lever in her hand and asked, "What do you want to eat? I'll take you to eat."

Li Gusui tilted his head slightly and looked up at Xu You, "Can I have an ice cream first? I just stood there watching that little brother eat, and swallowed a few mouthfuls."

"Of course."

Xu You said as he walked, "But there's nothing to eat near the station, why don't you go home and put down your things, and I'll take you there to eat?"

Li Gusui nodded and said, "Okay."

So the two hailed a taxi and headed home.

"Your house has been renovated again? It's different when I came last year." As soon as he entered the door, Li Gusui began to look at it.

Xu You directly put the trolley case into the guest room that his mother had prepared for his cousin, and came out and said, "Well, my dad thought the previous color was too dark, so he repacked it."

"Tsk tsk," Li Gusui looked at Xu You and sighed, "Little uncle is really capricious."

"I think so."

Xu You smiled and said, "Let's go, I'll take you to eat something delicious."

"Hurry up, hurry up." Li Gusui turned around and walked towards the door.

Xu You took Li Gusui to a snack street not far from his home, the two went shopping and had a meal, and they didn't return home until one o'clock when the weather was hot.

"Huh, your sea market is really hot."

After entering the door, he changed his shoes, put his hat on the clothes rack, and Li Gusui ran into the bathroom to wash his face with ease.

Xu You came to the living room, turned on the air conditioner, and shouted, "Come out and blow for a while."

Li Gusui came out without wiping his face after washing his face, leaning on the sofa and blowing on the air conditioner, he said, "It's comfortable."

Xu You also went to the bathroom to wash his face, came out and said to Li Gusui: "If you are sleepy, go to sleep, the guest room also has air conditioning."

Li Gusui waved his hands contentedly, "Not sleepy."

Seeming to have thought of something, Xu You turned around and walked into his room, returning with a paper in his hand.

He came to Li Gusui and sat down, smiled and said: "I heard that you are the top scorer in the science college entrance examination in your province, can you teach me this question?"

He handed over the test paper, pointed to the function question and said, "I can answer the first question, but the second and third questions are a bit confusing."

Li Gusui took the paper and just glanced at it roughly, and then said: "It's very simple, according to the conclusion of the first question, you can see the law of the second question at a glance, you add the end to the end, and regard these 4010 functions as It is the addition of 2005 1s, which is the answer.

As for the third question, there is no difficulty.

Because x belongs to the real number R, t=4^x+2 belongs to (2, +∞), -2/t belongs to (-1, 0), and its value y belongs to (0, 1). "

In less than 20 seconds, she raised her head and asked Xu You, "Do you know?"

"Hehe, I understand."

Xu You took the paper and thought to himself, how come Xueba's lecture questions are all standard answers, so good...

(End of this chapter)