poor little understand
Chapter 09
Lin Junchuo grabbed the chair with one hand, put one hand in his trouser pocket, smiled, "I scared you, I should apologize, don't be nervous."
He handed the freshly squeezed mango juice to Lin Muting, "Didn't Mrs. Ming make juice for you last night, didn't you drink it all night?"
"I forgot..." Lin Muting took the juice and smiled embarrassedly, "When I do a question, I tend to forget things."
Mrs. Ming is an aunt who works as a housekeeper in Qingpingyuan. Seeing that he still has to do homework at night, she specially made him a fruit juice snack and told him that he must finish it.
Lin Muting likes to eat sweets, but if he doesn't put the snacks and drinks in front of him, he basically won't take the initiative to eat these things.
In fact, Dong Jianing has always been close to Lin Mingcheng, giving Lin Mingcheng any good things first, and letting his son develop the habit over time.
Once when Lin Muting came back to see Dong Jianing making roast duck, he stretched out his hand and ate the duck leg. Dong Jianing saw it, snatched the duck leg from Lin Muting's hand, and threw it directly into the trash can. Angrily pointing at Lin Muting and scolding, "Your dad hasn't come back yet, you know how to eat? Your dad works so hard to support the family every day. You are raised by others and don't know how to miss your dad. How did I teach you? How did I teach you to be such a white-eyed wolf?"
Countless examples like this have happened. Over time, Lin Muting is very vague about what he likes, and there seems to be nothing he doesn't like.
Because there is no choice, and no one cares.
Only those who have a choice can pick and choose.Only those who care about are qualified to pick and choose.
Lin Junchuo didn't care, motioned the boy to sit down, and then pointed to the function problem, "You have already obtained f(t)=t*(t^2-3), so the analytical formula of f(x) is not Is it coming out?"
Lin Muting was confused, raised his head and asked in confusion, "Huh?"
"The analytical formula of f(x) is the analytical formula of f(t)." Lin Junchuo was amused by his appearance, rubbed the boy's soft hair, and wrote it directly on the draft paper, "f(x )=x(x^2-3)=x^3-3x, won’t it just come out?”
"But t=x+1/x, isn't t=x?" Lin Muting still didn't understand, and the expression on his face was still extremely puzzled.
Lin Junchuo sat directly on the desk, "This is a way of thinking about functions, called the method of substitution. As long as you find the analytical formula of f(t), it is equivalent to finding the analytical formula of f(x), but Note that the domain of x is the domain of t. If you forget this, at least 30% of your points will be deducted.”
Lin Muting originally wanted to continue to ask, but suddenly changed his mouth, "That's it."
Lin Junchuo continued to talk about the process of the domain of definition, trying to explain it in as much detail as possible, "x is the denominator, so the domain of definition is that x is not equal to 0, do you understand?"
"Understood!" This is common sense, Lin Muting nodded without hesitation.
The teenager's logical thinking ability is probably not outstanding.
Comparing with Lin Muting's reaction just now, Lin Junchuo secretly had some speculations in his heart, and then continued: "So the domain of definition of x is (-∞, 0)∪(0, +∞), right?"
That is to say, everything except 0, this is very simple, Lin Muting nodded immediately.
"When the definition domain of x is clarified, the value range of t is required. The value range must be related to monotonicity, that is, to find the two largest and smallest numbers of t in the two quadrants, plus two infinities, is the value of t Do you understand?" Lin Junchuo carefully observed every expression of the young man to infer the young man's acceptance.
林暮亭此时的反应就有些慢,他自己在草稿纸上写出来t的单调性t’=1-1/x^2=(t^2-1)/t^2,用一双充满些许期待的眼睛看着林君绰,“是这样吗?”
This is the basic formula of the function. The foundation of the young man is not bad. Lin Junchuo confirmed him with a smile, "Yes, the calculation of monotonicity usually makes t' = 0, you can try it next."
Lin Muting continued to calculate until he calculated the value range of t' when t is an increase and decrease function, and then he didn't know how to continue the calculation.
Lin Junchuo sighed inwardly, and guessed again that the boy's logical connection ability was not good enough, and in the calculations of several questions afterwards, he confirmed his guess.
For example, 2f(x)+f(1/x)=3x, according to the problem-solving ideas of general functions, we can first get 2f(1/x)+f(x)=3/x, which is a very normal reasoning logic , but the boy has never understood why he was able to derive this expression, and was stuck in the process of deriving it.
It's not just that the focus of attention is wrong, but that the whole logical thinking is somewhat lacking, and I'm not used to this way of thinking.Reminiscent of the fact that mathematics has always been at the lower level of the class after the boy reached high school. Although this class is an experimental class with a large number of geniuses in the class, the boy's strengths are obviously not in science subjects such as mathematics.
If mathematics is not good, physics, which is closely related to mathematics, will never be better, and chemistry will also be affected to a certain extent.
Huaguo is a country that traditionally puts more emphasis on science than literature. A teenager with such a score in science may not have a good life in school.
"Music Pavilion" Lin Junchuo also poured himself a glass of juice, added some to the young man along the way, and asked tentatively, "Lin Bei said that something is wrong with you coming back today, would you like to tell me?"
Although Lin Junchuo didn't have much contact with the boy, he already had a general understanding of the boy's personality.If he opened his mouth to ask Lin Muting if he had a fight with someone, Lin Muting would probably shut up immediately and would not bring it up at all.
From an objective point of view, Lin Muting's personality and physique do not have the possibility of actively fighting with others.If this is the case, if the parent asks if he has fought with someone, he will definitely feel wronged.
Once too many children feel wronged, they will not say anything to the adults, and even once they quarrel, the original good intentions of the adults will cause losses to both sides.
As a child, subconsciously, he must hope that no matter what he does, his parents will stand by his side instead of criticizing and accusing him head-on.
The man sat casually on the desk, with one hand propped on the side of the table, his head lowered, his soft eyes washed away the cold edges and corners of the man's face, and he asked him in a negotiating tone, instead of thinking that he was talking to him at the beginning. There was a fight.
Lin Muting's throat was a little choked, thinking that he had already told the teacher, so he didn't want the man to be so busy and worry about these things for himself.
He is old enough, he can handle such a small matter.
If he can't even solve this trivial matter, and Lin Junchuo is required to stand in for him, wouldn't it be true if Dong Jianing called him a worthless waste?
He shook his head, and replied in a low voice, "It's just that I had some conflicts with my classmates. Sir, I know that boys at this time are all in puberty, so it's inevitable that they will be a little impulsive. It's nothing to worry about."
He handed the freshly squeezed mango juice to Lin Muting, "Didn't Mrs. Ming make juice for you last night, didn't you drink it all night?"
"I forgot..." Lin Muting took the juice and smiled embarrassedly, "When I do a question, I tend to forget things."
Mrs. Ming is an aunt who works as a housekeeper in Qingpingyuan. Seeing that he still has to do homework at night, she specially made him a fruit juice snack and told him that he must finish it.
Lin Muting likes to eat sweets, but if he doesn't put the snacks and drinks in front of him, he basically won't take the initiative to eat these things.
In fact, Dong Jianing has always been close to Lin Mingcheng, giving Lin Mingcheng any good things first, and letting his son develop the habit over time.
Once when Lin Muting came back to see Dong Jianing making roast duck, he stretched out his hand and ate the duck leg. Dong Jianing saw it, snatched the duck leg from Lin Muting's hand, and threw it directly into the trash can. Angrily pointing at Lin Muting and scolding, "Your dad hasn't come back yet, you know how to eat? Your dad works so hard to support the family every day. You are raised by others and don't know how to miss your dad. How did I teach you? How did I teach you to be such a white-eyed wolf?"
Countless examples like this have happened. Over time, Lin Muting is very vague about what he likes, and there seems to be nothing he doesn't like.
Because there is no choice, and no one cares.
Only those who have a choice can pick and choose.Only those who care about are qualified to pick and choose.
Lin Junchuo didn't care, motioned the boy to sit down, and then pointed to the function problem, "You have already obtained f(t)=t*(t^2-3), so the analytical formula of f(x) is not Is it coming out?"
Lin Muting was confused, raised his head and asked in confusion, "Huh?"
"The analytical formula of f(x) is the analytical formula of f(t)." Lin Junchuo was amused by his appearance, rubbed the boy's soft hair, and wrote it directly on the draft paper, "f(x )=x(x^2-3)=x^3-3x, won’t it just come out?”
"But t=x+1/x, isn't t=x?" Lin Muting still didn't understand, and the expression on his face was still extremely puzzled.
Lin Junchuo sat directly on the desk, "This is a way of thinking about functions, called the method of substitution. As long as you find the analytical formula of f(t), it is equivalent to finding the analytical formula of f(x), but Note that the domain of x is the domain of t. If you forget this, at least 30% of your points will be deducted.”
Lin Muting originally wanted to continue to ask, but suddenly changed his mouth, "That's it."
Lin Junchuo continued to talk about the process of the domain of definition, trying to explain it in as much detail as possible, "x is the denominator, so the domain of definition is that x is not equal to 0, do you understand?"
"Understood!" This is common sense, Lin Muting nodded without hesitation.
The teenager's logical thinking ability is probably not outstanding.
Comparing with Lin Muting's reaction just now, Lin Junchuo secretly had some speculations in his heart, and then continued: "So the domain of definition of x is (-∞, 0)∪(0, +∞), right?"
That is to say, everything except 0, this is very simple, Lin Muting nodded immediately.
"When the definition domain of x is clarified, the value range of t is required. The value range must be related to monotonicity, that is, to find the two largest and smallest numbers of t in the two quadrants, plus two infinities, is the value of t Do you understand?" Lin Junchuo carefully observed every expression of the young man to infer the young man's acceptance.
林暮亭此时的反应就有些慢,他自己在草稿纸上写出来t的单调性t’=1-1/x^2=(t^2-1)/t^2,用一双充满些许期待的眼睛看着林君绰,“是这样吗?”
This is the basic formula of the function. The foundation of the young man is not bad. Lin Junchuo confirmed him with a smile, "Yes, the calculation of monotonicity usually makes t' = 0, you can try it next."
Lin Muting continued to calculate until he calculated the value range of t' when t is an increase and decrease function, and then he didn't know how to continue the calculation.
Lin Junchuo sighed inwardly, and guessed again that the boy's logical connection ability was not good enough, and in the calculations of several questions afterwards, he confirmed his guess.
For example, 2f(x)+f(1/x)=3x, according to the problem-solving ideas of general functions, we can first get 2f(1/x)+f(x)=3/x, which is a very normal reasoning logic , but the boy has never understood why he was able to derive this expression, and was stuck in the process of deriving it.
It's not just that the focus of attention is wrong, but that the whole logical thinking is somewhat lacking, and I'm not used to this way of thinking.Reminiscent of the fact that mathematics has always been at the lower level of the class after the boy reached high school. Although this class is an experimental class with a large number of geniuses in the class, the boy's strengths are obviously not in science subjects such as mathematics.
If mathematics is not good, physics, which is closely related to mathematics, will never be better, and chemistry will also be affected to a certain extent.
Huaguo is a country that traditionally puts more emphasis on science than literature. A teenager with such a score in science may not have a good life in school.
"Music Pavilion" Lin Junchuo also poured himself a glass of juice, added some to the young man along the way, and asked tentatively, "Lin Bei said that something is wrong with you coming back today, would you like to tell me?"
Although Lin Junchuo didn't have much contact with the boy, he already had a general understanding of the boy's personality.If he opened his mouth to ask Lin Muting if he had a fight with someone, Lin Muting would probably shut up immediately and would not bring it up at all.
From an objective point of view, Lin Muting's personality and physique do not have the possibility of actively fighting with others.If this is the case, if the parent asks if he has fought with someone, he will definitely feel wronged.
Once too many children feel wronged, they will not say anything to the adults, and even once they quarrel, the original good intentions of the adults will cause losses to both sides.
As a child, subconsciously, he must hope that no matter what he does, his parents will stand by his side instead of criticizing and accusing him head-on.
The man sat casually on the desk, with one hand propped on the side of the table, his head lowered, his soft eyes washed away the cold edges and corners of the man's face, and he asked him in a negotiating tone, instead of thinking that he was talking to him at the beginning. There was a fight.
Lin Muting's throat was a little choked, thinking that he had already told the teacher, so he didn't want the man to be so busy and worry about these things for himself.
He is old enough, he can handle such a small matter.
If he can't even solve this trivial matter, and Lin Junchuo is required to stand in for him, wouldn't it be true if Dong Jianing called him a worthless waste?
He shook his head, and replied in a low voice, "It's just that I had some conflicts with my classmates. Sir, I know that boys at this time are all in puberty, so it's inevitable that they will be a little impulsive. It's nothing to worry about."
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