My IQ has been increasing year by year.
Chapter 13 The Tacit Understanding in the Book
Military training is still very tough.
This is especially true for these teenagers who have just started junior high school.
They would occasionally glance at the nine-year-old child sitting under the shade of a tree, engrossed in a book.
I'm very envious, but there's nothing I can do about it.
After all, you wouldn't want to let a nine-year-old like Chen Zhuo participate in military training with them, would you?
They considered themselves older than Chen Zhuo, and when faced with Chen Zhuo, a classmate who was younger than them in every way, they consciously or unconsciously wanted to act like adults in front of him.
This makes them seem more mature than other classes no matter what they do.
The school leaders and instructors who came to inspect the school couldn't help but marvel at it.
As expected of the top students selected through a rigorous process, they are truly exceptional.
It has to be said that this is a very amazing thing.
Military training passed quickly, and before they knew it, Chen Zhuo had spent several days reading under the shade of a tree.
......
The first class in the afternoon was math.
Old Zhao walked into the classroom with his lesson plan in his hand.
The first chapter of the first-year junior high school math curriculum is about rational numbers.
Positive numbers, negative numbers, number line.
For these top students who were selected through a rigorous process, this is all knowledge they have already learned. However, since the curriculum is there, the teachers still have to teach it step by step, just to reinforce their basic knowledge.
"For example, minus 5 degrees Celsius can be written as -5..."
Old Zhao drew a thermometer on the blackboard.
Some students in the audience were twirling pens, while others were pretending to listen.
Chen Zhuo sat on the specially made soft chair in the first row.
On his desk, the high school math textbook "Sets and Functions" was open.
Next to him were sheets of draft paper, densely covered with derivation formulas.
He was deriving Morgan's Law.
Although this is a very basic concept in set theory, he had previously only memorized the conclusions by rote, and now he was trying to prove it again himself.
His pen scratched across the paper, completely immersed in the pleasure of perfectly logical reasoning.
The voices on the podium suddenly stopped.
Chen Zhuo felt his sleeve being tugged by the girl next to him.
A shadow fell over Chen Zhuo's desk.
Chen Zhuo didn't make any unnecessary movements. He simply stopped writing, looked up, and calmly looked at Old Zhao standing in front of the table.
Old Zhao did not get angry.
He glanced down at the books on the table, then at the draft paper.
As a veteran math teacher with over twenty years of experience, he certainly recognized these formulas.
交 (jiāo), 并 (bìng), 补 (bǔ).
Also, the proof process should be logically clear, with concise steps and no unnecessary words.
Old Zhao raised an eyebrow.
He pointed his finger and tapped lightly on the last line of the draft paper.
"here"
Old Zhao lowered his voice and spoke in a volume that only the two of them could hear.
"Using a Venn diagram to illustrate this makes it more intuitive."
Chen Zhuo paused for a moment, glanced at the spot, thought for a second, and nodded.
"Yes, combining text and images is more intuitive."
Old Zhao smiled; it was the smile of someone who had seen a kindred spirit.
"Can you understand it?" Old Zhao pointed to the high school textbook.
"Um."
"Are they still listening to what's on the blackboard?"
"It's a bit of a waste of time," Chen Zhuo said frankly.
The whole class fell silent.
But Old Zhao just nodded.
"OK."
Old Zhao straightened up, and his voice returned to normal volume.
"Then you can look at this, but there's one condition: don't make a sound, don't disturb others, and hand in your homework as usual."
After saying that, Lao Zhao turned around and walked back to the podium, picked up the chalk and continued talking about his thermometer.
"Let's see, if the temperature rises by 3 degrees..."
Chen Zhuo lowered his head again and quietly thanked the classmate who had pulled him earlier.
He picked up a pen and drew a small Venn diagram next to the proof he had just made.
Pretty good.
School in the afternoon.
Other students were either busy cleaning or chatting in groups of two or three, saying goodbye until tomorrow.
Chen Zhuo, carrying his schoolbag, went straight to the office building.
The Mathematics Group Office.
Old Zhao was grading homework and wasn't surprised at all when he saw Chen Zhuo come in; it was as if he had been waiting for him.
"teacher."
Chen Zhuo walked over and called out.
"You're here?"
Old Zhao put down the red pen, opened the drawer, and took out a card and a key.
"I looked at the set theory textbook you were studying in class."
Old Zhao pushed the card in front of Chen Zhuo.
"The student reading room in the school library is full of popular science books and novels, not much of substance. This is my faculty library card."
Chen Zhuo's heart skipped a beat.
He had heard that the teachers' resource room at No. 1 High School was said to be one of the best in the entire province.
There you'll find the most complete set of high school textbooks from all years, analyses of various university subjects, foreign problem sets, and even subscriptions to a considerable number of original foreign journals.
"Thank you, teacher."
Chen Zhuo accepted the card with both hands.
This thin plastic card weighed more than a thousand pieces of gold in his hands, especially in an era when the internet is not yet widespread.
Knowledge is truly precious.
"And this too."
Old Zhao pointed to the key.
"This is from Professor Zhou in the physics group."
"Physics?" Chen Zhuo was a little surprised.
"Old Zhou has seen that bonus question on your elementary school entrance exam math test," Old Zhao said with a smile.
"Old Zhou said, you're the first elementary school student who could think of using the conservation of angular momentum to explain this."
Chen Zhuo remained silent.
It turns out that the foreshadowing had already been laid.
"Old Zhou has a strange temper, but he values talent," Old Zhao continued.
"This is the spare key to the physics lab. He said you don't need to attend junior high physics classes anymore, you can go wherever you want to do experiments."
"But one thing is certain: safety. If you dare to play with fire anywhere, he could skin you alive."
Chen Zhuo picked up the brass key; it had a faint smell of oil.
"I see."
Chen Zhuo carefully placed the key and library card into the innermost compartment of his backpack.
Go ahead.
Old Zhao waved his hand.
Don't waste your brain.
......
Chen Zhuo did not go home.
Chen Zhuo took the library card, which was still warm, and went straight to the top floor of the library.
Teachers' Resource Room.
As I pushed open the door, a musty smell of paper hit me.
It was very quiet here, with only a few teachers sitting in the corner looking up information.
The setting sun streamed through the tall French windows, casting its light on the floor, and dust motes danced in the beams of light.
The taste of knowledge is always irresistible, even if it's simple and unpretentious.
He slowly walked to the mathematics bookshelf, his fingers gently tracing the spines of the books.
Algebra, Analytic Geometry, Probability Theory...
Finally, his finger stopped on a thick book.
The cover is dark green with large gold lettering.
Introduction to Higher Mathematics
Author: Hua Luogeng.
This is a classic textbook published by Science Press in its early years, specifically written for the University of Science and Technology of China's Junior Class.
Chen Zhuo took out the book and found a seat by the window.
He turned to the first chapter.
This time, there was no language barrier, and no Russian declensions that gave him a headache.
It's all in friendly Chinese characters.
"Functions and Limits..."
Chen Zhuo read very slowly.
As he read on, a strange feeling began to spread through his mind.
For more than a year, he memorized all the formulas in the Russian version of "Tutorial on Calculus".
Those formulas were like a pile of precision parts scattered on the ground.
He knew what they looked like, what they were called, and even how they were assembled.
But he didn't know why they were designed that way.
He lacked that design blueprint.
And now, this book is that design blueprint.
When he read the Chinese explanation of the ε-δ language in the book, the Russian definition that had always been vague in his mind was suddenly struck by lightning.
【lim(x→x₀) f(x)= A】
"For any given positive number ε, there always exists a positive number δ..."
So that's what it meant!
So it turns out that the damned Russian word "окрестность" (neighborhood) is logically for this kind of rigorous approximation!
Click.
A crisp sound.
That's the sound of a closed loop of thought.
Chen Zhuo felt as if a lock in his mind had been unlocked.
Those Russian formulas that had been memorized by rote were infused with life at this moment.
They were no longer rigid symbols; they came alive and began to flow, deform, and mesh on his scalp.
An indescribable sense of dread crept up my spine and onto my scalp.
correct.
correct.
correct.
This is mathematics.
This is the power of logic.
It doesn't require you to sweat it out in real life; it only requires you to complete a single guided exercise on paper to bring you a more stimulating pleasure than any other sensory stimulation.
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