Xueba starts with change
Chapter 199 Come and share with us 1
Chapter 199 Come and share with us
“……在这里,设n=m时结论成立,则当n=m+1时,利用归纳假设知,i=1∏m+1(kiA+1)/(A+1)=(i=1∏m(kiA+1)/(A+1))·(km+1A+1)/(A+1)≤(k1k2···kmA+1)/(A+1)·(km+1A+1)/(A+1)≤(k1k2···km+1A+1)/(A+1)。”
Chen Zhou asked Chen Xiao while writing: "Can you understand this step?"
Chen Xiao shook his head, then nodded again: "I can understand, but it's a bit difficult..."
Chen Zhou asked strangely, "What's so difficult?"
"Uh..." Chen Xiao said hesitantly, "The steps are pushed down like this, but the key is, I can't think of the key steps..."
Hearing Chen Xiao's words, Chen Zhou smiled: "It's okay, it's normal for you to not think of it, the main reason is that your own knowledge reserve is not enough. There is only one way to solve it, read more, think more, and accumulate more."
Chen Xiao nodded silently.
Chen Zhou put down the draft paper and continued: "Finally, by using the mathematical induction method, the inequality can be established for all positive integers n, and the proposition will be proved. This question is mainly about the flexible use of the induction method. You should think about it carefully." think."
"En." Chen Xiao nodded, picked up the draft paper, and began to ponder on his own.
Chen Zhou glanced at Chen Xiao, but did not speak.
He got up, gave up his seat to Chen Xiao, then went to cut a piece of watermelon, washed some grapes, and brought them over to Chen Xiao.
After doing this, Chen Zhou checked the time and returned to his room.
Sitting down at the desk, Chen Zhou began to make detailed plans and refine his time.
As for time, as long as you manage it well, you will find that it actually has a lot of spare time.
And, in a sense, time is motion.
A day as we define it is nothing more than one rotation of the earth.
The year we define is nothing more than one revolution of the earth around the sun.
Therefore, saving time can also be understood as chasing the movement of the earth.
Thinking about it this way, Chen Zhou instantly felt that the concept of time management had risen to another level.
After all, the sport of chasing the earth is cool to think about!
After making the plan, Chen Zhou began to enter the rhythm of the afternoon.
Continue working on the hail conjecture.
After a busy afternoon, Chen Zhou left several pages of thick and colorful mistakes on the wrong question collection.
No way, so far, he still hasn't found a good idea.
And what he can do is still learning and researching.
Constantly learn knowledge from relevant literature, and then continue to try to solve the problem of hail conjecture.
Putting down the work at hand, Chen Zhou rubbed his temples.
Learning and research are double consumption of physical and mental energy.
Chen Zhou felt a little tired.
At seven o'clock in the evening, Chen Zhou and Yang Yiyi were playing the video.
He started to continue his work in the morning, studying and summarizing the project materials sent by Dean Yang.
Chen Zhou's plan was like this, leaving evenings for Dean Yang's topics, afternoons for Hail's conjecture, and mornings for textbooks from the physics department.
Chen Zhou is chasing the movement of the earth under this substantial arrangement.
In this way, Chen Zhou has not been out of the house for more than 20 days since he came back from the summer vacation.
The reason why he went out today was because Chen Xiao's high school entrance examination results came out, and he accompanied Chen Xiao to the third middle school to find a teacher to fill in the volunteers.
Like the college entrance examination, you have to fill in your volunteers after the high school entrance examination.
However, unlike the college entrance examination, the voluntary filling in the high school entrance examination is not so complicated.
The school has places for unified enrollment, orientation and expansion.
Which school each student can go to is basically determined after checking the grades and rankings.
The full name of No.[-] Middle School is No.[-] Middle School, which is a junior high school.
This is also where Chen Zhou studied in junior high school.
Went to No. [-] Middle School with Chen Xiao and found Chen Xiao's class teacher.
Chen Xiao's homeroom teacher didn't recognize Chen Zhou at first, but he didn't remember until Chen Xiao introduced him.
Ah, this is actually the number one scholar in science in our province...
The head teacher hurriedly greeted Chen Zhou warmly.
It made Chen Zhou a little embarrassed.
Moreover, in the head teacher's office, there are teachers from other classes, and some students who also come to check their grades and fill in their volunteers.
Hearing the movement from Chen Zhou and the others, they all looked at Chen Zhou curiously.
They had heard before that Chen Xiao had an elder brother who was a champion, but this was the first time they had seen a real person.
Curiosity is inevitable.
Chen Zhou was naturally used to this kind of attention, but Chen Xiao was obviously a little uncomfortable.
Because by Chen Zhou's side, he felt full of pressure.
Fortunately, after Chen Zhou asked about Chen Xiao's results and ranking, he was completely relieved.
The exam is very good, the school is the first, the county's high school entrance examination is the top scorer, the city's high school entrance examination is the top scorer, and can go to the top high schools in the province.
This result is much better than that of Chen Zhou.
Seeing that Chen Xiao had filled out the application form, Chen Zhou planned to leave with Chen Xiao.
At this time, a person hurried in.
Chen Zhou glanced at it, only to feel that it looked familiar, but he didn't remember it for a while.
The other party was different, they were obviously targeting Chen Zhou.
I saw this person walking towards Chen Zhou.
Chen Xiao's homeroom teacher also got up to greet him at this time: "Principal Ruan, why are you here?"
Hearing Principal Ruan, Chen Zhou immediately rang. Isn't this the vice-principal of No. [-] Middle School who was in charge of teaching and research work when he was in junior high school and often caught himself late?
"I'm here to find our classmate Chen Zhou." Principal Ruan replied, and his entire gaze stayed on Chen Zhou.
"Uh, hello, Principal Ruan." Chen Zhou hesitated slightly, but he still spoke and greeted politely.
"Student Chen Zhou, why didn't you say hello in advance when you went back to your alma mater?" Principal Ruan's hearty voice made Chen Zhou quite embarrassed.
He's not a celebrity, and he's just here to accompany his younger brother to fill out a volunteer, so what's the hello...
Chen Zhou looked at Principal Ruan and said, "Principal Ruan, what do you need from me?"
Principal Ruan didn't beat around the bush, but said directly: "I was always embarrassed to disturb you, but this will happen when you come to school, so I just thought, why don't you come to our students, your younger brothers and sisters, share How about a learning experience?"
Chen Zhou was slightly taken aback, this principal Ruan is really rude, it has been a year since he finished the college entrance examination, and he hadn't seen him coming to him earlier...
But everyone said it, and it was in the name of his alma mater, so Chen Zhou couldn't refuse.
What's more, in Chen Zhou's understanding, this sharing, it is estimated that the school will call a lot of students, and it should be able to gain another wave of experience.
Thinking of this, Chen Zhou said, "No problem."
Principal Ruan was overjoyed and immediately said, "How about tomorrow morning in the auditorium of No. [-] Middle School?"
Chen Zhou nodded.
Now that everyone has thought about it, and I don't need to worry about it, let's wait for the experience.
On the way home, Chen Zhou found out that No. [-] Middle School originally planned to arrange a graduation ceremony tomorrow.
Only then did Chen Zhou realize that he forgot about this.
This has always been the habit of the No. [-] Middle School. On the second day after the results of the senior high school entrance examination are released, all the fresh students of the third year of junior high school return to school to participate in the graduation ceremony.
Chen Zhou was a little embarrassed.
(End of this chapter)
“……在这里,设n=m时结论成立,则当n=m+1时,利用归纳假设知,i=1∏m+1(kiA+1)/(A+1)=(i=1∏m(kiA+1)/(A+1))·(km+1A+1)/(A+1)≤(k1k2···kmA+1)/(A+1)·(km+1A+1)/(A+1)≤(k1k2···km+1A+1)/(A+1)。”
Chen Zhou asked Chen Xiao while writing: "Can you understand this step?"
Chen Xiao shook his head, then nodded again: "I can understand, but it's a bit difficult..."
Chen Zhou asked strangely, "What's so difficult?"
"Uh..." Chen Xiao said hesitantly, "The steps are pushed down like this, but the key is, I can't think of the key steps..."
Hearing Chen Xiao's words, Chen Zhou smiled: "It's okay, it's normal for you to not think of it, the main reason is that your own knowledge reserve is not enough. There is only one way to solve it, read more, think more, and accumulate more."
Chen Xiao nodded silently.
Chen Zhou put down the draft paper and continued: "Finally, by using the mathematical induction method, the inequality can be established for all positive integers n, and the proposition will be proved. This question is mainly about the flexible use of the induction method. You should think about it carefully." think."
"En." Chen Xiao nodded, picked up the draft paper, and began to ponder on his own.
Chen Zhou glanced at Chen Xiao, but did not speak.
He got up, gave up his seat to Chen Xiao, then went to cut a piece of watermelon, washed some grapes, and brought them over to Chen Xiao.
After doing this, Chen Zhou checked the time and returned to his room.
Sitting down at the desk, Chen Zhou began to make detailed plans and refine his time.
As for time, as long as you manage it well, you will find that it actually has a lot of spare time.
And, in a sense, time is motion.
A day as we define it is nothing more than one rotation of the earth.
The year we define is nothing more than one revolution of the earth around the sun.
Therefore, saving time can also be understood as chasing the movement of the earth.
Thinking about it this way, Chen Zhou instantly felt that the concept of time management had risen to another level.
After all, the sport of chasing the earth is cool to think about!
After making the plan, Chen Zhou began to enter the rhythm of the afternoon.
Continue working on the hail conjecture.
After a busy afternoon, Chen Zhou left several pages of thick and colorful mistakes on the wrong question collection.
No way, so far, he still hasn't found a good idea.
And what he can do is still learning and researching.
Constantly learn knowledge from relevant literature, and then continue to try to solve the problem of hail conjecture.
Putting down the work at hand, Chen Zhou rubbed his temples.
Learning and research are double consumption of physical and mental energy.
Chen Zhou felt a little tired.
At seven o'clock in the evening, Chen Zhou and Yang Yiyi were playing the video.
He started to continue his work in the morning, studying and summarizing the project materials sent by Dean Yang.
Chen Zhou's plan was like this, leaving evenings for Dean Yang's topics, afternoons for Hail's conjecture, and mornings for textbooks from the physics department.
Chen Zhou is chasing the movement of the earth under this substantial arrangement.
In this way, Chen Zhou has not been out of the house for more than 20 days since he came back from the summer vacation.
The reason why he went out today was because Chen Xiao's high school entrance examination results came out, and he accompanied Chen Xiao to the third middle school to find a teacher to fill in the volunteers.
Like the college entrance examination, you have to fill in your volunteers after the high school entrance examination.
However, unlike the college entrance examination, the voluntary filling in the high school entrance examination is not so complicated.
The school has places for unified enrollment, orientation and expansion.
Which school each student can go to is basically determined after checking the grades and rankings.
The full name of No.[-] Middle School is No.[-] Middle School, which is a junior high school.
This is also where Chen Zhou studied in junior high school.
Went to No. [-] Middle School with Chen Xiao and found Chen Xiao's class teacher.
Chen Xiao's homeroom teacher didn't recognize Chen Zhou at first, but he didn't remember until Chen Xiao introduced him.
Ah, this is actually the number one scholar in science in our province...
The head teacher hurriedly greeted Chen Zhou warmly.
It made Chen Zhou a little embarrassed.
Moreover, in the head teacher's office, there are teachers from other classes, and some students who also come to check their grades and fill in their volunteers.
Hearing the movement from Chen Zhou and the others, they all looked at Chen Zhou curiously.
They had heard before that Chen Xiao had an elder brother who was a champion, but this was the first time they had seen a real person.
Curiosity is inevitable.
Chen Zhou was naturally used to this kind of attention, but Chen Xiao was obviously a little uncomfortable.
Because by Chen Zhou's side, he felt full of pressure.
Fortunately, after Chen Zhou asked about Chen Xiao's results and ranking, he was completely relieved.
The exam is very good, the school is the first, the county's high school entrance examination is the top scorer, the city's high school entrance examination is the top scorer, and can go to the top high schools in the province.
This result is much better than that of Chen Zhou.
Seeing that Chen Xiao had filled out the application form, Chen Zhou planned to leave with Chen Xiao.
At this time, a person hurried in.
Chen Zhou glanced at it, only to feel that it looked familiar, but he didn't remember it for a while.
The other party was different, they were obviously targeting Chen Zhou.
I saw this person walking towards Chen Zhou.
Chen Xiao's homeroom teacher also got up to greet him at this time: "Principal Ruan, why are you here?"
Hearing Principal Ruan, Chen Zhou immediately rang. Isn't this the vice-principal of No. [-] Middle School who was in charge of teaching and research work when he was in junior high school and often caught himself late?
"I'm here to find our classmate Chen Zhou." Principal Ruan replied, and his entire gaze stayed on Chen Zhou.
"Uh, hello, Principal Ruan." Chen Zhou hesitated slightly, but he still spoke and greeted politely.
"Student Chen Zhou, why didn't you say hello in advance when you went back to your alma mater?" Principal Ruan's hearty voice made Chen Zhou quite embarrassed.
He's not a celebrity, and he's just here to accompany his younger brother to fill out a volunteer, so what's the hello...
Chen Zhou looked at Principal Ruan and said, "Principal Ruan, what do you need from me?"
Principal Ruan didn't beat around the bush, but said directly: "I was always embarrassed to disturb you, but this will happen when you come to school, so I just thought, why don't you come to our students, your younger brothers and sisters, share How about a learning experience?"
Chen Zhou was slightly taken aback, this principal Ruan is really rude, it has been a year since he finished the college entrance examination, and he hadn't seen him coming to him earlier...
But everyone said it, and it was in the name of his alma mater, so Chen Zhou couldn't refuse.
What's more, in Chen Zhou's understanding, this sharing, it is estimated that the school will call a lot of students, and it should be able to gain another wave of experience.
Thinking of this, Chen Zhou said, "No problem."
Principal Ruan was overjoyed and immediately said, "How about tomorrow morning in the auditorium of No. [-] Middle School?"
Chen Zhou nodded.
Now that everyone has thought about it, and I don't need to worry about it, let's wait for the experience.
On the way home, Chen Zhou found out that No. [-] Middle School originally planned to arrange a graduation ceremony tomorrow.
Only then did Chen Zhou realize that he forgot about this.
This has always been the habit of the No. [-] Middle School. On the second day after the results of the senior high school entrance examination are released, all the fresh students of the third year of junior high school return to school to participate in the graduation ceremony.
Chen Zhou was a little embarrassed.
(End of this chapter)
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