Omnipotent Data
Chapter 291
Chapter 294
"you boy, you dismantle my platform as soon as you come back
Old Tang looked at standing by his side, obviously grew a lot of Cheng Nuo, could not help laughing and scolding.
Cheng Nuo hehe a smile, "teacher, this is not for the sake of younger brother and younger sister, OK?"
Old Tang pushed to the side of the platform and left the stage to Cheng Nuo. He motioned to Cheng Nuo, "start your performance."
Under the gaze of more than 30 younger students and younger sisters, Cheng Nuo pulls out a piece of chalk and speaks loudly.
"There is no problem with the steps of proving this problem that Mr. Tang told you just now. So I didn't come up here to find fault. "
"But, as you must see, the proof process of this subject is too complicated."
Cheng Nuo uses a big circle to describe the whole blackboard. Then write a proposition in the corner.
As long as the initial six numbers are not even, odd, odd, even, odd, odd, and not all even, then we can make all the numbers equal to zero through finite operations. 】
Cheng Nuo tapped the blackboard with his fingers.
"It can be clearly seen that the formula of the blackboard, the classification discussion, are all proving this conjecture. If you're OK in your normal training and you have plenty of time, you'll have enough time to do it step by step. But in the competition, the time is competing for minutes and seconds, so this complex problem-solving process is not suitable
"Do you mean, senior, that you have a simpler proof process?" Chen Gong, a short boy sitting in the first row, raised his hand.
Chen Gong was sitting upright in his seat, looking up at Cheng Nuo, who was confident and eloquent on the stage, with a faint air of discontent in his eyes.
In the face of the younger brother's question, Cheng Nuo just laughed and nodded, "yes, I did think of a simpler method of proof when listening to Mr. Tang speak about this topic just now."
Chen Gong raised his hand again, "senior student, the problem-solving method you use will not be the knowledge learned in the university?"
Cheng Nuo shook his head, "it's not. To solve such difficult problems, the knowledge learned in high school is enough. "
Cheng Nuo side, wipe off half of the blackboard, write three big characters on it.
Induction!
Induction, a very basic mathematical proof method in high school, is usually used to prove that a given proposition holds in the whole (or local) range of natural numbers. It can be divided into the first mathematical induction, the second mathematical induction, the backward induction and the spiral induction.
Seeing these three words on the blackboard, Chen Gong's eyes lit up and seemed to understand something, but his mind was still a blur.
As for the rest of the classroom, the expression is still confused. Isn't it about parity? How can we get to induction again.
As he wrote, Cheng told his thoughts.
“…… The steps in the previous part remain the same, resulting in the special value of 2. Later, we begin to prove this proposition by induction. The spiral induction method of induction is selected
"Generalize n, when n = 1, obviously Next, let A1 ≤ A2 ≤ Let Si = a1 + A2 + +ai。”
“…… To sum up, n satisfying the condition is 2 and all positive odd numbers. "
The proof is over.
answers as like as two peas.
What's more, what's more terrifying is that Cheng Nuo only uses half of the blackboard and a dozen lines of formulas. It's a big difference from the proof formula filled with two blackboards before.
So terrible, so terrible!
Pa Pa Pa Pa Pa!
Standing on the side of the platform, old Tang raised his hands, clapped his hands, and looked at Cheng Nuo.
Although he was knocked down by Cheng Nuo today, old Tang is not angry at all.
Cheng Nuo is still a student of his own! From his hands out of such a student, enough for him to boast for a lifetime.
Pa Pa Pa Pa Pa!
Other students in the classroom also applauded. Some of them really admired Cheng Nuo's unique thinking of solving problems, such as Chen Gong. And some of them are pure ignorance.
All of a sudden, the whole classroom Pa Pa Pa sound endless.
…………
In the corridor, Cheng Nuo is reminiscing about the past with Comrade Tang. He saw a little boy, some hesitant toward the direction of Cheng Nuo.
Cheng Nuo knew him. He was Chen Gong who was sitting in the first row of the competition training.
Chen Gong walked to Cheng Nuo hesitantly and raised his head. He was embarrassed and hesitated for a long time before he began to speak shyly, "schoolmaster, can I add your wechat?"
Cheng Nuo:???
I I wipe it!
For a moment, Cheng Nuo feels a cool air rising from the chrysanthemum to his brain.
A sentence of MMP is enough to express Cheng Nuo's present mood.
Why? Why is it that all the beautiful students who want wechat become shy students?Cheng Nuo subconsciously leans to Lao Tang, "you What do you want to do? "
Chen Gong's face rose red, and he summoned up the courage of his whole body and said, "schoolmaster, I want to be your man!"
"Well, no, no, wrong, wrong, to be someone like you."
False alarm A false alarm!
Just now, Cheng Nuo almost jumped directly from the fifth floor. It's too exciting.
Chen Gong said the reason why he asked for Cheng Nuo's wechat, "senior student, I think I can ask you any questions about mathematics."
"It doesn't matter. Please ask for advice. You are my brother in law, and I will teach you with all my heart. " It doesn't matter if you ask questions, as long as you are not my person, everything is OK.
After getting Cheng Nuo's micro signal, Chen Gong left happily.
Next, Cheng Nuo and old Tang strolled in the campus for a while. Cheng Nuo originally wanted to invite old Tang to have dinner with him, but he still had a few nights to study, so he could only take another day.
"The day after tomorrow, there will be a lecture for you at school. After you go back, you must prepare well and give a lesson to the group of kids in senior three. Try to let our No.2 Middle School to be the champion in the college entrance examination again. "
Cheng Nuo smiles bitterly and nods. It seems that no school has ever done it in history.
Farewell to Old Tang, Cheng Nuo found a small restaurant to make do with dinner, and then took a taxi home.
Just returned to the bedroom, Cheng Nuo mobile phone will prompt to receive a new message. I thought it was Mu Leng who sent him the test questions like taking medicine. But I didn't expect to open the wechat and have a look. It was not Mu Leng's beautiful girlfriend who sent the message, but Chen Gong, a shy student who just met today.
Chen Gong: "whining, is the student there?"
Chen Gong: "can you help me look at this problem?"
Here's a picture of a picture taken with a mobile phone.
[Let f (x) = 5x + 2 = F1 (x), FN + 1 (x) = f [FN (x)]. It is proved that for any positive integer n, there exists a positive integer m such that 2011|fn (m)]
it is proved that there is a positive integer m for any positive integer n www.mylovenovel.com , the fastest update of the webnovel!
"you boy, you dismantle my platform as soon as you come back
Old Tang looked at standing by his side, obviously grew a lot of Cheng Nuo, could not help laughing and scolding.
Cheng Nuo hehe a smile, "teacher, this is not for the sake of younger brother and younger sister, OK?"
Old Tang pushed to the side of the platform and left the stage to Cheng Nuo. He motioned to Cheng Nuo, "start your performance."
Under the gaze of more than 30 younger students and younger sisters, Cheng Nuo pulls out a piece of chalk and speaks loudly.
"There is no problem with the steps of proving this problem that Mr. Tang told you just now. So I didn't come up here to find fault. "
"But, as you must see, the proof process of this subject is too complicated."
Cheng Nuo uses a big circle to describe the whole blackboard. Then write a proposition in the corner.
As long as the initial six numbers are not even, odd, odd, even, odd, odd, and not all even, then we can make all the numbers equal to zero through finite operations. 】
Cheng Nuo tapped the blackboard with his fingers.
"It can be clearly seen that the formula of the blackboard, the classification discussion, are all proving this conjecture. If you're OK in your normal training and you have plenty of time, you'll have enough time to do it step by step. But in the competition, the time is competing for minutes and seconds, so this complex problem-solving process is not suitable
"Do you mean, senior, that you have a simpler proof process?" Chen Gong, a short boy sitting in the first row, raised his hand.
Chen Gong was sitting upright in his seat, looking up at Cheng Nuo, who was confident and eloquent on the stage, with a faint air of discontent in his eyes.
In the face of the younger brother's question, Cheng Nuo just laughed and nodded, "yes, I did think of a simpler method of proof when listening to Mr. Tang speak about this topic just now."
Chen Gong raised his hand again, "senior student, the problem-solving method you use will not be the knowledge learned in the university?"
Cheng Nuo shook his head, "it's not. To solve such difficult problems, the knowledge learned in high school is enough. "
Cheng Nuo side, wipe off half of the blackboard, write three big characters on it.
Induction!
Induction, a very basic mathematical proof method in high school, is usually used to prove that a given proposition holds in the whole (or local) range of natural numbers. It can be divided into the first mathematical induction, the second mathematical induction, the backward induction and the spiral induction.
Seeing these three words on the blackboard, Chen Gong's eyes lit up and seemed to understand something, but his mind was still a blur.
As for the rest of the classroom, the expression is still confused. Isn't it about parity? How can we get to induction again.
As he wrote, Cheng told his thoughts.
“…… The steps in the previous part remain the same, resulting in the special value of 2. Later, we begin to prove this proposition by induction. The spiral induction method of induction is selected
"Generalize n, when n = 1, obviously Next, let A1 ≤ A2 ≤ Let Si = a1 + A2 + +ai。”
“…… To sum up, n satisfying the condition is 2 and all positive odd numbers. "
The proof is over.
answers as like as two peas.
What's more, what's more terrifying is that Cheng Nuo only uses half of the blackboard and a dozen lines of formulas. It's a big difference from the proof formula filled with two blackboards before.
So terrible, so terrible!
Pa Pa Pa Pa Pa!
Standing on the side of the platform, old Tang raised his hands, clapped his hands, and looked at Cheng Nuo.
Although he was knocked down by Cheng Nuo today, old Tang is not angry at all.
Cheng Nuo is still a student of his own! From his hands out of such a student, enough for him to boast for a lifetime.
Pa Pa Pa Pa Pa!
Other students in the classroom also applauded. Some of them really admired Cheng Nuo's unique thinking of solving problems, such as Chen Gong. And some of them are pure ignorance.
All of a sudden, the whole classroom Pa Pa Pa sound endless.
…………
In the corridor, Cheng Nuo is reminiscing about the past with Comrade Tang. He saw a little boy, some hesitant toward the direction of Cheng Nuo.
Cheng Nuo knew him. He was Chen Gong who was sitting in the first row of the competition training.
Chen Gong walked to Cheng Nuo hesitantly and raised his head. He was embarrassed and hesitated for a long time before he began to speak shyly, "schoolmaster, can I add your wechat?"
Cheng Nuo:???
I I wipe it!
For a moment, Cheng Nuo feels a cool air rising from the chrysanthemum to his brain.
A sentence of MMP is enough to express Cheng Nuo's present mood.
Why? Why is it that all the beautiful students who want wechat become shy students?Cheng Nuo subconsciously leans to Lao Tang, "you What do you want to do? "
Chen Gong's face rose red, and he summoned up the courage of his whole body and said, "schoolmaster, I want to be your man!"
"Well, no, no, wrong, wrong, to be someone like you."
False alarm A false alarm!
Just now, Cheng Nuo almost jumped directly from the fifth floor. It's too exciting.
Chen Gong said the reason why he asked for Cheng Nuo's wechat, "senior student, I think I can ask you any questions about mathematics."
"It doesn't matter. Please ask for advice. You are my brother in law, and I will teach you with all my heart. " It doesn't matter if you ask questions, as long as you are not my person, everything is OK.
After getting Cheng Nuo's micro signal, Chen Gong left happily.
Next, Cheng Nuo and old Tang strolled in the campus for a while. Cheng Nuo originally wanted to invite old Tang to have dinner with him, but he still had a few nights to study, so he could only take another day.
"The day after tomorrow, there will be a lecture for you at school. After you go back, you must prepare well and give a lesson to the group of kids in senior three. Try to let our No.2 Middle School to be the champion in the college entrance examination again. "
Cheng Nuo smiles bitterly and nods. It seems that no school has ever done it in history.
Farewell to Old Tang, Cheng Nuo found a small restaurant to make do with dinner, and then took a taxi home.
Just returned to the bedroom, Cheng Nuo mobile phone will prompt to receive a new message. I thought it was Mu Leng who sent him the test questions like taking medicine. But I didn't expect to open the wechat and have a look. It was not Mu Leng's beautiful girlfriend who sent the message, but Chen Gong, a shy student who just met today.
Chen Gong: "whining, is the student there?"
Chen Gong: "can you help me look at this problem?"
Here's a picture of a picture taken with a mobile phone.
[Let f (x) = 5x + 2 = F1 (x), FN + 1 (x) = f [FN (x)]. It is proved that for any positive integer n, there exists a positive integer m such that 2011|fn (m)]
it is proved that there is a positive integer m for any positive integer n www.mylovenovel.com , the fastest update of the webnovel!