Super Scholar: Start with a low regulatory score!
Chapter 245 Love Curve Problem Solved!
Chapter 245 Love Curve Problem Solved!
"All right!"
"It's been so long, with such a simple five-question question, everyone must have the answer, right?"
"Now I'm looking for five people to come up and do it. Those who are willing can raise their hands and declare in advance that it's not for nothing!"
"As long as you dare to come up and do it right."
"Then there is no homework after class today. If you can get more than three questions right, you can go to get out of class and rest."
"Of course!"
"The premise is that the process can be optimized!"
"..."
During the time when everyone was thinking, Jiang Nan stood on the podium and did not speak. Seeing that everyone was thinking about it, he spoke slowly and meaningfully.
And as soon as he opened his mouth, it was Wang Zha.
Swish!
Swish!
Swish!
Originally, everyone was eager to give it a try, but now they heard Jiang Nan's words, they were even more geared up.
"Teacher Nanshen, are you serious?"
Many people's eyes are shining, and they can't wait.
after all……
For students, is there anything more exciting than not doing homework and taking a break early?
Regardless of whether they can make it or not, anyway, this reward sounds tempting, and there are endless boos.
"really!"
Jiang Nan nodded: "As long as your answers are correct and the process reaches the optimal solution, you can rest as much as you want."
"Will the class teacher agree?"
"The old class is here, you just ask!"
Whoa!
Many people turned their attention to Hu Yifei.
Hu Yifei: "%¥#@#¥%..."
Ok!
I have been a transparent person for a long time and you don't care, but now I think of my old lady, I am really not a student at all.
Hu Yifei complained inwardly, but she didn't show any emotion on the surface, "The teacher of this class is Jiang Nan, as long as you can meet his requirements, I have no objection!"
"..."
"Well, I'll come!"
"Teacher Nanshen, choose me, I will do the first question!"
"Teacher Nanshen, choose me, I will do the second question!"
"I, I, I, I will do the third question!"
"You guys can't do it, let me do it! I've covered the first three questions, and I'm the representative of the math class!"
"So what if you are the representative of the math class? If you really want to compare, it doesn't matter who is worse than the other. Let me do it!"
"Since you all choose the first three questions, I will choose the fourth question, although I don't know if I can do it right!"
"And I, Huang Sihai, will choose the fifth question!"
"Fuck, Huang Sihai, do you also raise your hand? Really, with the little stuff in your stomach, can you solve the fifth question?"
"Heh, what about the stuff in my belly? Although I can't do it, what Teacher Nanshen said before made me understand that mathematics is not a scourge. I have to dare to try and challenge, and sooner or later I will step on it ..."
"..."
Just for a moment.
All the children's shoes in the class raised their hands, including Huang Sihai and Hu Dajun's two battles.
See this scene.
Hu Yifei was stunned again.
"Who am I? Where am I? What am I doing? Are these people raising their hands the same stupid students I teach?"
At this moment, Hu Yifei really doubts life a little bit.
just because...
She has taught class 304 for nearly three years, and she has never seen students answering questions so actively, let alone on the podium.
Before this.
When she asks questions, only the top five in the class, at most, the top ten in the class will raise their hands to answer.
As for the other 40 people...
It was as low as you could bury your head, as if you were afraid of being noticed and called by her.
But in the Jiangnan class, it was the exact opposite.
Even Huang Sihai and Hu Dajun, two crouching dragons and phoenixes, dare to raise their hands on the podium, isn't this too courageous?
Speaking of...
In order to encourage students to take the initiative to speak and answer questions.
She was not less tempted in the past!
The verbal reward is even bigger.
But these people below are like idiots, very few answer her questions.
Really...
Without comparison, there is no harm.
finally!
Because too many people raised their hands.
Jiangnan randomly selected a few, Qin Yumo, Su Yu, Zhang Hao and Li Qianqian, plus Huang Sihai.
As for the others.
You can only do it on the seat.
of course!
Even if you can't get on the podium, but can only sit in your seat, you can still enjoy the rewards.
As long as the answers and processes written by everyone are faster and more accurate than the people on the stage, and if Jiangnan is satisfied, then they can be exempted from homework after class, and can even take a break directly after class.
Just like Bai Yingying.
At the same time when Qin Yumo and others came to the stage one by one.
She immediately wrote the answers to the five questions and the process of solving them, and handed them over to Jiangnan.
In this regard.
Jiang Nan nodded in affirmation.
have to say……
Bai Yingying has made great progress, and it was not in vain for him to work hard on tutoring, and even gave Intellectual Skittles.
Although the above five questions are not difficult, they are just a little bit novel, but with Bai Yingying's previous strength, it is still difficult to get all of them right, and barely give the optimal solution.
But now...
Bai Yingying barely managed it.
And then.
Fatty Wang also submitted the answers to five questions.
But after Jiang Nan looked at it, although he nodded, he shook his head again and gave Fatty Wang a disgusted look.
This fat man is definitely lazy.
Although the answer was correct and the process of solving the problem was correct, it was too cumbersome, even Bai Yingying's could not compare to it, let alone the best one. It was really a waste of his after-school tutoring.
Ah!
Another intellectual skittle candy was also scrapped.
In comparison.
Bai Yingying is much smarter.
This is for a later story, let's not talk about it for the time being.
On the other side, several people on the podium also occupy a corner of the blackboard, doing questions quickly.
Among them, Qin Yumo did all five questions, Su Yu and Zhang Hao only chose three questions, and Li Qianqian only chose two questions.
As for Huang Sihai, he scratched his head and scratched his head for a while, looking east and west. Although he mustered up the courage to come up, it was still impossible for him to do it.
but……
At least the first step has been taken, and the courage is commendable.
Jiang Nan gave him an encouraging look.
In this regard.
Huang Sihai smiled directly and twisted his mouth.
Originally, he was still a little apprehensive after he came up, after all, he was such a scumbag that he almost never answered questions in front of everyone.
But now with Jiangnan's encouragement, his apprehension disappeared immediately, leaving only boundless firmness.
he swears...
Starting today, we must work hard, hard, and hard again, otherwise we will be sorry for Nanshen's encouragement.
quickly!
The people below are done.
But Jiang Nan was too lazy to collect them one by one, so he asked the classroom assistant Hu Yifei to collect them, and asked him to check the answers later.
Anyway!
He kept his word.
As long as these people can really do it right and achieve the optimal solution, it doesn't matter if there is no homework after class and early get out of class breaks, even if math classes are changed to self-study classes in the future.
but……
That possibility is quite low.
After all, even Bai Yingying's problem-solving process is not optimal, and the others are probably even worse.
At the same time.
Several people on the podium have also finished.
The answer is as follows...
The first question: love curve question.
problem solving process...
Closed by the graph, the conclusion involves the distance from the point on the curve to the origin, which is associated with the polar coordinate equation, and the polar coordinate system is established with the origin as the pole...
则C:p^2=1+p^2|cos0|sin0。
即p^2=1/(1-|cos0|sin0°)。
因为|cos0|sin0≤1/2|sin20|≤1/2。
So p^2≤2, that is, ρ≤√2.
So sequence number 2 is correct.
……
By p≤√2.
It is known that x=pcos0≤√2, y=psinθ≤√2, and there are 6 integral points that meet the conditions through inspection, so the sequence number 1 is correct.
……
在第一象限曲线C的极坐标方程为p1^2=1+p1^2cos01sin01。
在第四象限曲线C的极坐标方程为p4^2=1+p4^2cos04sin04。
Another θ4=-θ1.
but……
……
According to the above conditions.
A symmetric graph of the polar diameter with respect to the polar axis can be made.
The figure shows.
右半部分“心形”区域面积大于半个单位圆面积,故“心形”区域面积S大于2*(1/2π)*1^2=π大于3,所以序号3错误。
……
In summary.
The answer is C, and sequence numbers 1 and 2 are correct.
……
sp: Originally, I wanted to simplify the whole process.
But in order to highlight the strength of the pig's feet later, I only simplified it slightly, and there are a lot of words, so don't spray it if you don't like it!
(End of this chapter)
"All right!"
"It's been so long, with such a simple five-question question, everyone must have the answer, right?"
"Now I'm looking for five people to come up and do it. Those who are willing can raise their hands and declare in advance that it's not for nothing!"
"As long as you dare to come up and do it right."
"Then there is no homework after class today. If you can get more than three questions right, you can go to get out of class and rest."
"Of course!"
"The premise is that the process can be optimized!"
"..."
During the time when everyone was thinking, Jiang Nan stood on the podium and did not speak. Seeing that everyone was thinking about it, he spoke slowly and meaningfully.
And as soon as he opened his mouth, it was Wang Zha.
Swish!
Swish!
Swish!
Originally, everyone was eager to give it a try, but now they heard Jiang Nan's words, they were even more geared up.
"Teacher Nanshen, are you serious?"
Many people's eyes are shining, and they can't wait.
after all……
For students, is there anything more exciting than not doing homework and taking a break early?
Regardless of whether they can make it or not, anyway, this reward sounds tempting, and there are endless boos.
"really!"
Jiang Nan nodded: "As long as your answers are correct and the process reaches the optimal solution, you can rest as much as you want."
"Will the class teacher agree?"
"The old class is here, you just ask!"
Whoa!
Many people turned their attention to Hu Yifei.
Hu Yifei: "%¥#@#¥%..."
Ok!
I have been a transparent person for a long time and you don't care, but now I think of my old lady, I am really not a student at all.
Hu Yifei complained inwardly, but she didn't show any emotion on the surface, "The teacher of this class is Jiang Nan, as long as you can meet his requirements, I have no objection!"
"..."
"Well, I'll come!"
"Teacher Nanshen, choose me, I will do the first question!"
"Teacher Nanshen, choose me, I will do the second question!"
"I, I, I, I will do the third question!"
"You guys can't do it, let me do it! I've covered the first three questions, and I'm the representative of the math class!"
"So what if you are the representative of the math class? If you really want to compare, it doesn't matter who is worse than the other. Let me do it!"
"Since you all choose the first three questions, I will choose the fourth question, although I don't know if I can do it right!"
"And I, Huang Sihai, will choose the fifth question!"
"Fuck, Huang Sihai, do you also raise your hand? Really, with the little stuff in your stomach, can you solve the fifth question?"
"Heh, what about the stuff in my belly? Although I can't do it, what Teacher Nanshen said before made me understand that mathematics is not a scourge. I have to dare to try and challenge, and sooner or later I will step on it ..."
"..."
Just for a moment.
All the children's shoes in the class raised their hands, including Huang Sihai and Hu Dajun's two battles.
See this scene.
Hu Yifei was stunned again.
"Who am I? Where am I? What am I doing? Are these people raising their hands the same stupid students I teach?"
At this moment, Hu Yifei really doubts life a little bit.
just because...
She has taught class 304 for nearly three years, and she has never seen students answering questions so actively, let alone on the podium.
Before this.
When she asks questions, only the top five in the class, at most, the top ten in the class will raise their hands to answer.
As for the other 40 people...
It was as low as you could bury your head, as if you were afraid of being noticed and called by her.
But in the Jiangnan class, it was the exact opposite.
Even Huang Sihai and Hu Dajun, two crouching dragons and phoenixes, dare to raise their hands on the podium, isn't this too courageous?
Speaking of...
In order to encourage students to take the initiative to speak and answer questions.
She was not less tempted in the past!
The verbal reward is even bigger.
But these people below are like idiots, very few answer her questions.
Really...
Without comparison, there is no harm.
finally!
Because too many people raised their hands.
Jiangnan randomly selected a few, Qin Yumo, Su Yu, Zhang Hao and Li Qianqian, plus Huang Sihai.
As for the others.
You can only do it on the seat.
of course!
Even if you can't get on the podium, but can only sit in your seat, you can still enjoy the rewards.
As long as the answers and processes written by everyone are faster and more accurate than the people on the stage, and if Jiangnan is satisfied, then they can be exempted from homework after class, and can even take a break directly after class.
Just like Bai Yingying.
At the same time when Qin Yumo and others came to the stage one by one.
She immediately wrote the answers to the five questions and the process of solving them, and handed them over to Jiangnan.
In this regard.
Jiang Nan nodded in affirmation.
have to say……
Bai Yingying has made great progress, and it was not in vain for him to work hard on tutoring, and even gave Intellectual Skittles.
Although the above five questions are not difficult, they are just a little bit novel, but with Bai Yingying's previous strength, it is still difficult to get all of them right, and barely give the optimal solution.
But now...
Bai Yingying barely managed it.
And then.
Fatty Wang also submitted the answers to five questions.
But after Jiang Nan looked at it, although he nodded, he shook his head again and gave Fatty Wang a disgusted look.
This fat man is definitely lazy.
Although the answer was correct and the process of solving the problem was correct, it was too cumbersome, even Bai Yingying's could not compare to it, let alone the best one. It was really a waste of his after-school tutoring.
Ah!
Another intellectual skittle candy was also scrapped.
In comparison.
Bai Yingying is much smarter.
This is for a later story, let's not talk about it for the time being.
On the other side, several people on the podium also occupy a corner of the blackboard, doing questions quickly.
Among them, Qin Yumo did all five questions, Su Yu and Zhang Hao only chose three questions, and Li Qianqian only chose two questions.
As for Huang Sihai, he scratched his head and scratched his head for a while, looking east and west. Although he mustered up the courage to come up, it was still impossible for him to do it.
but……
At least the first step has been taken, and the courage is commendable.
Jiang Nan gave him an encouraging look.
In this regard.
Huang Sihai smiled directly and twisted his mouth.
Originally, he was still a little apprehensive after he came up, after all, he was such a scumbag that he almost never answered questions in front of everyone.
But now with Jiangnan's encouragement, his apprehension disappeared immediately, leaving only boundless firmness.
he swears...
Starting today, we must work hard, hard, and hard again, otherwise we will be sorry for Nanshen's encouragement.
quickly!
The people below are done.
But Jiang Nan was too lazy to collect them one by one, so he asked the classroom assistant Hu Yifei to collect them, and asked him to check the answers later.
Anyway!
He kept his word.
As long as these people can really do it right and achieve the optimal solution, it doesn't matter if there is no homework after class and early get out of class breaks, even if math classes are changed to self-study classes in the future.
but……
That possibility is quite low.
After all, even Bai Yingying's problem-solving process is not optimal, and the others are probably even worse.
At the same time.
Several people on the podium have also finished.
The answer is as follows...
The first question: love curve question.
problem solving process...
Closed by the graph, the conclusion involves the distance from the point on the curve to the origin, which is associated with the polar coordinate equation, and the polar coordinate system is established with the origin as the pole...
则C:p^2=1+p^2|cos0|sin0。
即p^2=1/(1-|cos0|sin0°)。
因为|cos0|sin0≤1/2|sin20|≤1/2。
So p^2≤2, that is, ρ≤√2.
So sequence number 2 is correct.
……
By p≤√2.
It is known that x=pcos0≤√2, y=psinθ≤√2, and there are 6 integral points that meet the conditions through inspection, so the sequence number 1 is correct.
……
在第一象限曲线C的极坐标方程为p1^2=1+p1^2cos01sin01。
在第四象限曲线C的极坐标方程为p4^2=1+p4^2cos04sin04。
Another θ4=-θ1.
but……
……
According to the above conditions.
A symmetric graph of the polar diameter with respect to the polar axis can be made.
The figure shows.
右半部分“心形”区域面积大于半个单位圆面积,故“心形”区域面积S大于2*(1/2π)*1^2=π大于3,所以序号3错误。
……
In summary.
The answer is C, and sequence numbers 1 and 2 are correct.
……
sp: Originally, I wanted to simplify the whole process.
But in order to highlight the strength of the pig's feet later, I only simplified it slightly, and there are a lot of words, so don't spray it if you don't like it!
(End of this chapter)
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