Chapter 6 Exam of Lao Tzu's Arithmetic?

readx;??? Give Lao Tzu to get off the horse, do you have this qualification, didn't your father teach you politeness, are these useful to me?

Well, even if it's useful. Pen @ fun @ pavilion wWw. biqUgE。 info

Lao Tzu came to work on the first day, and I endured it.

"That's good! Since Master Ma still has some things to clean up, this official is not in a hurry, and I will wait for you in a while. ”

Zhu Changyuan's face was full of smiles, and the murderous aura in his eyes flashed.

I ran to this yamen and turned around left and right, and found that there were many scrolls hanging on the wall, and the scrolls were neither landscape paintings nor figure paintings, let alone anything like poetry and songs, and Zhu Changyuan didn't see it for a while.

"Humph!" Liu Yunzhou snorted coldly and continued: "It's a pity, it's a pity! ”

Ma Qing seemed to be singing a double reed, looked at him and asked rhetorically, "Brother Liu, what's the pity?" ”

Liu Yunzhou said: "I feel sorry for Lord Zhu. ”

Zhu Changyuan was stunned.

Why did your paralysis come to me again, but his face seemed to be humble and said to Liu Yunzhou: "I don't know what Lord Liu pities me for?" ”

"It's a pity that Master Zhu is a good martial artist, but he can't make the best use of it." Liu Yunzhou stood up, refilled himself with a cup of tea, and looked at Zhu Changyuan while drinking.

Zhu Changyuan naturally didn't think it was a compliment, and if there was a compliment, he naturally wouldn't come out of this guy's mouth, and he wanted to ignore it, but he felt very rude, and said perfunctorily: "Lord Liu is worried about the sky, whether this official can show his talent or not is not up to Your Excellency." ”

Liu Yunzhou didn't smile at the flesh, "Gyeonggi is a major land, and the government is in the forest." If Lord Zhu wants to mess around, he can go to other departments, but he doesn't know why he has to come to the yamen of my Ministry of Industry. Even if you enter the Yamen of the Ministry of Industry, it is good to go to the Yu Heng Qing Officials Division, but you have to come to my camp to clean up the Officials Division, don't you know that this division is the most difficult to mix? ”

Zhu Changyuan was speechless, and almost wanted to in this guy's face, does Nima have someone who talks like this, why do I have a grudge against you for killing my father or taking my wife, and you are targeting me like this? Lao Tzu came to the Ministry of Industry to mess around. Is Lao Tzu special?

All right. Even if Lao Tzu comes to mess around, what is the special thing about you?

"Regardless of the size of the Ministry of Industry, officials from the second grade to the ninth grade. All of them were born as Jinshi, and the worst was also a tribute student. So. I can't stand up in the Yamen, let alone a general who was born as a military attaché, and I'm afraid of an errand in the Ministry of Industry. It will make adults laugh and be generous. Liu Yunzhou was unabashed, and ridiculed again and again.

And give me a special lecture on my origin. Well, Lao Tzu is not from a Jinshi background, and Lao Tzu can't say anything about you. Can't I hide?

Run to the wall and pretend to look at the scroll on the wall. After watching it for a long time, I didn't see the reason, and suddenly I heard Liu Yunzhou's voice in my ears again: "Enter the yamen of my Ministry of Industry, especially my camp to clean up the officials." It is not only necessary to be brilliant in ancient and modern literature, but also to know all the world's strange books and thaumaturgy. For example, the question in front of Master Zhu is an arithmetic problem. Hehe, forget it, you don't understand it! ”

Arithmetic problems?

Zhu Changyuan, who hadn't understood it just now, looked up again, and saw a few lines of text written on the scroll: Naoda Ji

Eight hundred and sixty-four steps, only the cloud is not as wide as twelve steps long, and the width and length are a few steps each.

After reading it, Zhu Changyuan didn't understand it, to be honest, the ancient texts, especially the literature on mathematics, are quite laborious and time-consuming to understand, because there are professional terms in them.

For example, what exactly is the "Naoda accumulation" in this question?

For example, how to understand the sentence "only clouds are only clouds wide and not as long as 12 steps".

But the hard work paid off, carefully scrutinized and read, even later, Zhu Changyuan has a general understanding of this problem, the meaning of this question is translated into modern sentences: a rectangle, its area is 864 steps (square steps), the width of the rectangle is 12 steps less than the length, ask how many steps is the length and width of this rectangle?

As long as modern people with a little culture know, this is a very simple problem of a one-dimensional quadratic equation, junior high school students will know, and it is all integer solutions, and only the root formula is required to know, and it can be solved.

Take 10,000 steps back, even if they don't know how to find the root formula, why should I list the formula and substitute it one by one, and I can always substitute it, right?

Isn't it just a problem of x and y, isn't it a problem of x-y=12;x*y=864?

For Zhu Changyuan, it is naturally a piece of cake.

However, this thing is indeed a big problem in ancient times, and it is also a problem in the problem, very simply, the ancient people did not know the root formula of the one-dimensional quadratic equation. The integer is easy to calculate, so use substitution, but in case it touches the decimal fraction, it will be forced.

Zhu Changyuan secretly calculated in his heart, and he really couldn't figure it out, so he picked up a piece of paper and wrote a system of equations, which was what he just said: x-y=12;x*y=864.

Then convert and substitute to get the equation x2-12x=864

Then move the term to get the standard formula x2-12x-864=0.

Using the root finding formula, we get two roots, one is x=36 and the other is x=-24 (rounded)

The final result is that the length of the square is 36 steps and the width is 24 steps.

Liu Yunzhou didn't see anything drawn like a ghost talisman in Zhu Changyuan's hand, but he thought that it was impossible for Zhu Changyuan to try it out in such a short time, so he opened his mouth and said: "This question is a question in the "Detailed Explanation of Nine Chapters of Arithmetic" written by Yang Hui, a master of mathematics in the Southern Song Dynasty, and it is normal for Lord Zhu not to think of it, after all, many old scholars of the Hanlin Academy are not very clear. ”

Ma Qing sighed deliberately, and said with some schadenfreude: "I said Lord Liu, aren't you embarrassed, Lord Zhu is a military attaché, how can he know how to count, it's like asking you to lead troops to fight, can you defeat Huang Taiji?" ”

Liu Yunzhou was straightforward and said: "I can't say that, I know that I can't beat Huang Taiji and it's not suitable for war, but if I have self-knowledge, this official will naturally not run to the barracks to beat a swollen face and become fat." ”

The words were full of sarcasm, and what he said was naturally Zhu Changyuan's visit to the Yamen of the Ministry of Industry.

Zhu Changyuan grinned at the math problem on the scroll, and couldn't help but shake his head, two words flashed in his heart that he hadn't used for a long time: stupid.

No, it should be said that it is pretending!

On the wall of the yamen of the Qing Officials, there were more than one scroll of paintings, and Zhu Changyuan took a few steps from that scroll and came to the next scroll, on which there was also a question written in ancient Chinese.

This question is an easy-to-understand limerick poem, which reads:

Nine hundred and ninety-nine dollars,

Buy a thousand pears in time,

Nine of the eleven pears,

Seven pieces of fruit for four pennies.

Q: How much is the price of pear fruit?

This question is much easier to understand, and the approximate meaning is: there are 999 copper coins, and the pears and fruits purchased with these money are exactly 1000, of which 11 yuan can buy 9 pears, and 4 yuan can buy 7 fruits, the question is how many pears were purchased in total and how much money was spent? How much fruit was bought and how much was spent? (To be continued.) Intranet unique URL: