Wang Duandao:

This question is recorded in the ancient "Nine Chapters of Arithmetic". I'm sure everyone has seen it, and the old man changed it slightly...... The wall is 1,000 feet thick, and the two rats are piercing. Rats gain one foot per day and double daily thereafter. The mice advanced one foot per day and doubled daily thereafter. Excuse me, when did the two rats meet, and how much did each enter? ”

Before the words fell, there was a chaotic sound of chopsticks below. Many students or Chinese officials use chopsticks to dip tea, wine, and soup into the table.

The topic has really been seen by many people, and it is okay. But in the original question, the thickness of the wall is only five feet, which can be calculated by hard push step by step.

For example, the first day of the rat wears one foot, the second two feet, and the third day four feet, and the more you fight, the more courageous you become. The little mouse pretended to actively deceive the boss on the first day, and also wore a foot. On the second day, I wore half a foot for passive slackness, and only wore a quarter of a foot on the third day, and I was too lazy to move.

There is no doubt that the two rats will meet on the third day.

The yin damage of Wang Duan is that he changed the short five feet into a long thousand feet. Relying on step-by-step rigid deduction, the amount of computation is very vast. What's more, the question is when we will meet, not when we will meet. Then, it must be accurate to the hour, minute, and second, and the difficulty suddenly increases by several steps. As for how much each rat enters, it's simple, and you'll know the progress when you calculate the time.

After a minute, no one answered.

Two minutes later, some of the students gave up and looked around blankly. The officials of Qin Tianjian pinched their fingers anxiously, and they didn't know if they were pretending to be little mice, or if they were really calculating.

Wang Duan sneered.

The officials of the Zhou State looked pale and deliberately toasted each other loudly.

One muttered: "This question, my Huangkou child in Zhou Guo can calculate it, and you can pull one on the street......"

The other said: "Well, they can't be blamed. The vitality of heaven and earth is thin, and people are naturally stupid. Thousands of years ago, this was still a wild place, otherwise how could I get out of the Zero Spirit Root......

"I heard that their farmers never have more than five sheep, but I am afraid that they will be more than one slap and count."

"Fake, don't you still have a hand?"

"Stupid, I have to hold a sheep whip in one hand."

"Hahaha......"

The voice was deliberately muffled, but not too big or small, just enough to be heard by everyone.

The students' faces were red, and the Chinese officials lowered their brains and studied the placement of chopsticks. He Lang, the secretary of the Ministry of Rites, had a blue face, and Hu Li, the servant of Qintian, was angry and wide-eyed, all on the verge of going berserk.

What is incongruous is that the stupid boy Dong Shu is walking among the students at the six tables. "Bar" a piece of meat, "swoop" a sip of wine, and humming a slang tune in his mouth.

"Two rats, two rats, run fast, run fast. One without a tail, the other without ears, it's weird, it's weird......"

Bang......

Dong Shumin, who had been sitting still, staring at Xintianyou, who was busy eating and drinking, slapped his palm on the table. Today she is emotionally unstable and especially likes to slap the table.

"Xiao Shu, how can I teach you arithmetic? Tell me, how much? ”

Ah, Miss Dong teaches arithmetic? Hu Shilang, who knew the roots, was dumbfounded, and shook his brain vigorously to sober himself up to prove that he was not drunk.

Someone shuddered and said without thinking:

"The meeting time was 22:49:42 on the tenth day, and the big mouse advanced 998 feet, and the small mouse advanced 2 feet."

Xintianyou doesn't know whether the topic has been transformed by Wang Duan, or if the ancient civilization has indeed left behind the algorithm.

As far as he knows, the current level of arithmetic in the world is only equivalent to that of junior high school 10,000 years ago. In order to solve the problem perfectly, it is necessary to use the high school number series to sum. That is, the advance distance of the rat is a multiplier series, and the advance distance of the mouse is a multiplier series. Set the unknown term, solve the equation, and the result can be obtained in tens of seconds. If you push hard step by step, it will take at least a few hours.

No way?

Everyone brushed their heads together, like an eel poking out of the water tank and inhaling, staring at Wang Duan.

Even the people of the Zhou State Mission were no exception.

They were told the answer beforehand, but they didn't know how to calculate it. Lord Wang is not only a scholar of the Ministry of Rites, but also a great master of arithmetic. Even the Xiaoshui Sword Sect repaired the palace, the magic circle, and the subtleties had to ask him for advice.

Wang Duan stood up abruptly and shook the table.

A man in his fifties, but his eyes suddenly burst into fanaticism. After a slight pause, he drank a glass of liquor before speaking, his voice cold.

"Dong Gongzi is really a god! Please explain how this was calculated. ”

Miss Dong smiled and said:

"What is this, I taught him."

Wang Duan glanced at her and ignored her. In fact, no one believed it at all.

The young man who was busy eating meat and drinking wine still didn't turn around, and said:

"What's so strange about that? When I saw the question of "Nine Chapters of Arithmetic", I thought about how to wear a wall ten feet, a hundred feet, or a thousand feet thick. I've been busy for a whole month, and I've been calculating to 10,000 feet, of course I know. ”

Tsk, count it as a month?

When they heard this, they almost fainted.

Only a stupid person would do such a stupid thing, and the blind cat met a dead mouse. In the first burst, the Zhou people didn't win, and the Chinese didn't lose either, so they barely counted it as a draw.

The sparkle in Wang Duan's eyes gradually disappeared, he gritted his teeth, and said unwillingly:

"Wang has another question, please listen carefully to Dong Gongzi. The radius of the three balls is one, and the two balls are placed next to each other. Arrange a ball of the same size on top. Q, how high is the ball off the ground? ”

As soon as I heard the title, it made people's brains turn into a mess, and I have nothing to do to play with balls?

The key to solving the problem is how deep the depression formed by the upper ball penetrating into the bottom three balls. It's unimaginable, it's also a dog biting a hedgehog, and I don't know where to start.

The chopsticks that were holding on to the tail of the steaming deer stopped, and Xintianyou sounded a strong alarm bell in his heart.

Something is not right.

This is an Olympiad problem from 10,000 years ago, and it is extremely difficult for ordinary high school students to solve, even college students may not be able to solve it. It is necessary to use spatial analytic geometry, twist twist to draw many auxiliary lines, and build many complex models to build castles.

He was only ten years old when he solved a similar problem, and it took only nine seconds to solve it, so he faced an even more difficult problem. Q: In the middle of the four large balls, how big can a small ball be stuffed, or how many small beads with a radius can be stuffed?

Xintianyou looks at this math problem from the perspective of physics.

The geometric center of a homogeneous and symmetrical object is the physical center, and the center of the sphere is the center of mass. Look at the four big balls as a whole, and use the lever principle to quickly find the center of mass. It is one from the plane formed by the three spheres below and three from the center of the sphere above. According to the principle of symmetry, the center of the ball is the center of the cone composed of four large balls. At this point, with the tetrahedral formula, junior high school students can mentally calculate the answer.

Not only that, but he often uses macro theories to solve micro problems, and micro theories to explain the universe, so that unrelated disciplines can prove each other's answers......

For example, when calculating complex motion, the principle of "equivalence between the acceleration field and the gravitational field" in the general theory of relativity is used to combine the vector arrows of external force, acceleration, electromagnetism, centrifugation, gravity, etc. into one.

So, when all the streams returned to the sect, everything became simpler.

These apostasy methods, whimsical ideas, kept the messenger silent for three days and three nights.

After that, the domineering teacher adjusted the teaching direction, from the "killing of a hundred flowers" based on physical training to the "scientific thinking" of theoretical training. Until the end, he forced the poor students to create a "time and space gate".

Judging from all the historical materials under the mountain, the history after the middle of the Ming Dynasty is gone, and it seems to have been torn apart by an invisible giant hand.

That blank space began precisely from the beginning of the Renaissance in the budding of science......

So, where did Wang Duan get this question?

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This chapter, a little brain-burning, is a memory of my youth.

I miss that fifteen-year-old self-taught "Calculus" and "General Physics", played ball, practiced martial arts, and wrote poetry...... Walking in the rainstorm and singing, a wild and simple boy.

If you meet a teenager, please take him home!