Time travel to 1984
Chapter 25 asked a function parity question
Chapter 25 asked a function parity question
The first semester of high school is coming to an end.
The wonderful winter vacation seems to be just around the corner.
However, there is one very important link.
That is the final exam of the first semester of high school.
Everyone is in the process of intense review.
In the special classroom, Zhang Jinhai seemed nervous to learn more high school knowledge.
In fact, it is accessing the endless information stored in the biological computer.
The beautiful Wu Xing hasn't seen Zhang Jinhai for many days.
Quietly slipped out of the classroom of Grade [-] and Class [-] of Senior High School, carrying a math book and homework book.
Came to the special classroom where Zhang Jinhai was.
Wu Xing said that he did not understand the content related to functions in the book.
Zhang Jinhai patiently explained some related content:
Parity is one of the fundamental properties of functions.
In general, if f(-x)=f(x) exists for any x in the domain of the function f(x), then the function f(x) is called an even function.
In general, if f(-x)=-f(x) exists for any x in the domain of the function f(x), then the function f(x) is called an odd function.
Definition: For any x∈R, there is f(-x)=(-x)^2=x^2=f(x). At this time, we call the function f(x)=x^2 an even function;
For any x in the domain R of the function f(x)=x, there is f(-x)=-f(x), then we call the function f(x)=x an odd function.
When solving a problem, judge the parity of the function.
The first is to check whether its domain is symmetric about the origin.
Then strictly according to the definition of odd and even, after simplification, arrangement, and comparison with f(x) to draw a conclusion!
The basis for judging or proving whether a function has parity or not is definition and variation.
Variant: odd: f(x)+f(-x)=0 f(x)*f(-x)=-f^2(x) f(x)/f(-x)=-1
Even: f(x)-f(-x)=0 f(x)*f(-x)=f^2(x) f(x)/f(-x)=1
A trace of confusion appeared on Wu Xing's face.
Zhang Jinhai had no choice but to turn out the homework.
Draw some special case function images, and explain them according to the pictures.
Now Wu Xing understood it thoroughly.
With a little excitement, he whispered: "Well, I understand."
Taking the pencil in Zhang Jinhai's hand, he draws the case function diagram for understanding on his own.
The moment Zhang Jinhai's finger was touched by Wu Xing's hand.
It feels like a current is passing through it.
It was so numb that his thoughts immediately flew away from the function.
What is Wu Xing talking about, what is she painting.
This time I didn't hear clearly at all.
When Wu Xing asked him for advice after drawing the picture and explaining the content, Zhang Jinhai looked bewildered.
Wu Xing's excitement suddenly subsided: "Zhang Jinhai, what do you mean?
Do you think it's too childish? "
Wu Xing felt a little bit hit in terms of IQ, although apart from Zhang Jinhai, she was often the No.1 winner of the main subject examination in the entire freshman year.
Zhang Jinhai's here is too neglected.
Zhang Jinhai quickly explained: "No, I definitely didn't mean that."
Wu Xing pursed her mouth and pretended to be angry, "Hmph! You're lying."
Stretching out her tender little hand, she grabbed Zhang Jinhai's handsome and immature face: "Punish you!"
Feels a little out of place.
It turned out that Zeng Jiankang, the head teacher, was coming from afar.
Wu Xing's face was flushed with embarrassment, and she didn't even say hello to the head teacher.
With his head down, he took small steps.
In a flash, he ran out of Zhang Jinhai's special classroom.
At the beginning, I felt that there was no head teacher.
The more I think about it, the more I feel: something is wrong with you!
If there was no special reason for this, then why did Wu Xing run away when she saw herself coming?
Not even a hello.
It's outrageous.
Are you so annoying?
Something is wrong!
what! ?
Something is wrong!
Things have to be straightened out.
"Zhang Jinhai, stand up for me!" The head teacher Zeng Kangkang was very angry.
In order to maintain a kind of majesty, the volume was inevitably turned up a bit.
The embarrassment is that Zhang Jinhai can't stand up.
Because some places stand up.
It's bad, it's bad, what should I do?
This made Zhang Jinhai unbearably anxious.
In this urgency, the human body immediately and spontaneously activated the refining function of the Vajra Indestructible Divine Art.
In just a few seconds, a warm current flowed from Zhang Jinhai's body into his dantian.
Flood to the whole body, continuously.
The Vajra Immortal Art unexpectedly broke through to the second floor without any warning.
The graphics and formulas of "Meditation Pose" and "Twisted Roots of Dead Trees" lit up in my mind.
Hey, it never occurred to me that such an embarrassing incident would allow the King Kong Immortal Skill to be upgraded smoothly.
Zhang Jinhai who relieved the embarrassment immediately stood up and pretended to be stupid: "Mr. Zeng, what made you angry?"
"whats the matter?
You are such a smart person, what things do you not know? "
"really do not know."
"Don't pretend to be confused for me."
"Students absolutely don't do things like bullying teachers and destroying ancestors."
"Aren't you doing the bullying thing?
I forgive you for not daring to destroy the ancestors. "
"Mr. Zeng, your hat is too big, I can't bear it."
"Stop talking about these useless things to me.
You said, what did Wu Xing come to see you for? "
"Oh, her.
I asked a question about the odd and even properties of a function. "
"Fart, that's one of her best things about math.
The exam has never lost a point on this knowledge point. "
Zhang Jinhai was really dumbfounded now.
This aunt is going to kill someone.
She was fine, got up and ran away.
Otherwise, run away too?
What will happen if you use the teleportation function and the player disappears?
1. It is possible to scare the teacher in charge.
Can't do that.
2. It is possible to reveal the secret of own teleportation function.
It may attract more malicious harassment from people with malicious intentions, and the cost is too high to do so.
If you escape normally, the opportunity is lost.
Because the head teacher, Mr. Zeng Jianjian, was standing in the middle of the only entrance door of the special classroom.
His two hands were only three to five centimeters away from the door frames on both sides.
Anyway, with Zhang Jinhai's figure, it was impossible to escape safely under such circumstances.
The misunderstanding caused will inevitably be even greater.
silence.
Still silent.
Do not erupt in silence, but perish in silence.
It's a puzzle anyway.
The head teacher walked into the special classroom and closed the classroom door.
Walking to the edge of the podium, he threw the book onto the podium with a 'slap': "Be honest, what's going on?
Dare not say.
Let me help you.
Have you two fallen in love? "
Zhang Jinhai thought about it, what is the point of this.
How could An be charged with such a big crime of puppy love.
Shaking his hands wildly, he said, "Absolutely not.
Purely the problem. "
The homeroom teacher Zeng Jiankang knew that he couldn't get anything out of asking this question.
I can only find a way for myself: "It doesn't matter whether it is or not.
From now on, the two of you are not allowed to meet privately in this special classroom.
The signs of puppy love must be killed in the cradle.
You should know that you will represent our school in the 1985 summer college entrance examination next year.
It was even possible to represent our district students in the 1985 summer college entrance examination. "
Zhang Jinhai knew that he was finally going to get over it: "I know.
Guaranteed to complete the mission! "
(Jin Hai Wu Xing is not confused, be happy and collect it!
Who knows what the future will look like, the author is working hard! )
(End of this chapter)
The first semester of high school is coming to an end.
The wonderful winter vacation seems to be just around the corner.
However, there is one very important link.
That is the final exam of the first semester of high school.
Everyone is in the process of intense review.
In the special classroom, Zhang Jinhai seemed nervous to learn more high school knowledge.
In fact, it is accessing the endless information stored in the biological computer.
The beautiful Wu Xing hasn't seen Zhang Jinhai for many days.
Quietly slipped out of the classroom of Grade [-] and Class [-] of Senior High School, carrying a math book and homework book.
Came to the special classroom where Zhang Jinhai was.
Wu Xing said that he did not understand the content related to functions in the book.
Zhang Jinhai patiently explained some related content:
Parity is one of the fundamental properties of functions.
In general, if f(-x)=f(x) exists for any x in the domain of the function f(x), then the function f(x) is called an even function.
In general, if f(-x)=-f(x) exists for any x in the domain of the function f(x), then the function f(x) is called an odd function.
Definition: For any x∈R, there is f(-x)=(-x)^2=x^2=f(x). At this time, we call the function f(x)=x^2 an even function;
For any x in the domain R of the function f(x)=x, there is f(-x)=-f(x), then we call the function f(x)=x an odd function.
When solving a problem, judge the parity of the function.
The first is to check whether its domain is symmetric about the origin.
Then strictly according to the definition of odd and even, after simplification, arrangement, and comparison with f(x) to draw a conclusion!
The basis for judging or proving whether a function has parity or not is definition and variation.
Variant: odd: f(x)+f(-x)=0 f(x)*f(-x)=-f^2(x) f(x)/f(-x)=-1
Even: f(x)-f(-x)=0 f(x)*f(-x)=f^2(x) f(x)/f(-x)=1
A trace of confusion appeared on Wu Xing's face.
Zhang Jinhai had no choice but to turn out the homework.
Draw some special case function images, and explain them according to the pictures.
Now Wu Xing understood it thoroughly.
With a little excitement, he whispered: "Well, I understand."
Taking the pencil in Zhang Jinhai's hand, he draws the case function diagram for understanding on his own.
The moment Zhang Jinhai's finger was touched by Wu Xing's hand.
It feels like a current is passing through it.
It was so numb that his thoughts immediately flew away from the function.
What is Wu Xing talking about, what is she painting.
This time I didn't hear clearly at all.
When Wu Xing asked him for advice after drawing the picture and explaining the content, Zhang Jinhai looked bewildered.
Wu Xing's excitement suddenly subsided: "Zhang Jinhai, what do you mean?
Do you think it's too childish? "
Wu Xing felt a little bit hit in terms of IQ, although apart from Zhang Jinhai, she was often the No.1 winner of the main subject examination in the entire freshman year.
Zhang Jinhai's here is too neglected.
Zhang Jinhai quickly explained: "No, I definitely didn't mean that."
Wu Xing pursed her mouth and pretended to be angry, "Hmph! You're lying."
Stretching out her tender little hand, she grabbed Zhang Jinhai's handsome and immature face: "Punish you!"
Feels a little out of place.
It turned out that Zeng Jiankang, the head teacher, was coming from afar.
Wu Xing's face was flushed with embarrassment, and she didn't even say hello to the head teacher.
With his head down, he took small steps.
In a flash, he ran out of Zhang Jinhai's special classroom.
At the beginning, I felt that there was no head teacher.
The more I think about it, the more I feel: something is wrong with you!
If there was no special reason for this, then why did Wu Xing run away when she saw herself coming?
Not even a hello.
It's outrageous.
Are you so annoying?
Something is wrong!
what! ?
Something is wrong!
Things have to be straightened out.
"Zhang Jinhai, stand up for me!" The head teacher Zeng Kangkang was very angry.
In order to maintain a kind of majesty, the volume was inevitably turned up a bit.
The embarrassment is that Zhang Jinhai can't stand up.
Because some places stand up.
It's bad, it's bad, what should I do?
This made Zhang Jinhai unbearably anxious.
In this urgency, the human body immediately and spontaneously activated the refining function of the Vajra Indestructible Divine Art.
In just a few seconds, a warm current flowed from Zhang Jinhai's body into his dantian.
Flood to the whole body, continuously.
The Vajra Immortal Art unexpectedly broke through to the second floor without any warning.
The graphics and formulas of "Meditation Pose" and "Twisted Roots of Dead Trees" lit up in my mind.
Hey, it never occurred to me that such an embarrassing incident would allow the King Kong Immortal Skill to be upgraded smoothly.
Zhang Jinhai who relieved the embarrassment immediately stood up and pretended to be stupid: "Mr. Zeng, what made you angry?"
"whats the matter?
You are such a smart person, what things do you not know? "
"really do not know."
"Don't pretend to be confused for me."
"Students absolutely don't do things like bullying teachers and destroying ancestors."
"Aren't you doing the bullying thing?
I forgive you for not daring to destroy the ancestors. "
"Mr. Zeng, your hat is too big, I can't bear it."
"Stop talking about these useless things to me.
You said, what did Wu Xing come to see you for? "
"Oh, her.
I asked a question about the odd and even properties of a function. "
"Fart, that's one of her best things about math.
The exam has never lost a point on this knowledge point. "
Zhang Jinhai was really dumbfounded now.
This aunt is going to kill someone.
She was fine, got up and ran away.
Otherwise, run away too?
What will happen if you use the teleportation function and the player disappears?
1. It is possible to scare the teacher in charge.
Can't do that.
2. It is possible to reveal the secret of own teleportation function.
It may attract more malicious harassment from people with malicious intentions, and the cost is too high to do so.
If you escape normally, the opportunity is lost.
Because the head teacher, Mr. Zeng Jianjian, was standing in the middle of the only entrance door of the special classroom.
His two hands were only three to five centimeters away from the door frames on both sides.
Anyway, with Zhang Jinhai's figure, it was impossible to escape safely under such circumstances.
The misunderstanding caused will inevitably be even greater.
silence.
Still silent.
Do not erupt in silence, but perish in silence.
It's a puzzle anyway.
The head teacher walked into the special classroom and closed the classroom door.
Walking to the edge of the podium, he threw the book onto the podium with a 'slap': "Be honest, what's going on?
Dare not say.
Let me help you.
Have you two fallen in love? "
Zhang Jinhai thought about it, what is the point of this.
How could An be charged with such a big crime of puppy love.
Shaking his hands wildly, he said, "Absolutely not.
Purely the problem. "
The homeroom teacher Zeng Jiankang knew that he couldn't get anything out of asking this question.
I can only find a way for myself: "It doesn't matter whether it is or not.
From now on, the two of you are not allowed to meet privately in this special classroom.
The signs of puppy love must be killed in the cradle.
You should know that you will represent our school in the 1985 summer college entrance examination next year.
It was even possible to represent our district students in the 1985 summer college entrance examination. "
Zhang Jinhai knew that he was finally going to get over it: "I know.
Guaranteed to complete the mission! "
(Jin Hai Wu Xing is not confused, be happy and collect it!
Who knows what the future will look like, the author is working hard! )
(End of this chapter)
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