Chapter 27: Books and Numbers

"In the first game, Zheng Luo won." Qiu Fuzi glanced at Zheng Sheng. "The second game, writing, is also simple, you each write a pair of words. Everyone here will be given a single fund, with a maximum of five chips. Finally, take the mean. ”

Zheng Sheng smiled bitterly, he didn't know how Zheng Ming's calligraphy was, but although he himself had been practicing brush calligraphy recently, his writing was still very poor.

Sure enough, in this game, Zheng Sheng won two chips and Zheng Meng won four chips.

After two rounds, Zheng Sheng is only five chips, and Zheng Meng is already ten chips.

"The third game, composition." Qiu Fuzi stroked his beard, "You each write." This article is not limited to the topic or content. ”

Zheng Sheng immediately got up, "Master, a thousand-character text, the student has written another paragraph." ”

Qiu Fuzi looked back at Zheng Yuan, Zheng Yuan had no problem with Zheng Sheng coming up with a thousand-character text to answer, and no one else objected.

So, Zheng Sheng recited the thousand-character text from "Dragon Master Fire Emperor, Bird Official Emperor" to "Turning into grass and trees, relying on all directions." ”

Qiu Fuzi listened and memorized, wrote a book, and then picked it up and read it again, and couldn't help but feel emotional.

Listening to Zheng Sheng's thousand-character essay involving the three emperors and five emperors of the pre-Qin era, Zheng Yuan couldn't help but be surprised: "Kewu, you are already reading history?" ”

Zheng Sheng shook his head: "I just heard a few little stories from my mother." "If his history is used for the test, Zheng Sheng will definitely be confused.

Qiu Fuzi looked at Zheng Ming, and everyone was also waiting for his article.

Zheng Meng shook his head and smiled bitterly, and put the pen down, "The prince Zhuyu is in front, I sigh to myself." It's okay not to do this. ”

Zheng Ming's generous performance naturally won the unanimous praise of everyone.

In this way, Zheng Sheng pulled back a game, and in terms of chips, Qiu Fuzi gave him four chips, on the grounds that Zheng Sheng had already conceived this thousand-character text, and it was not considered a work on the spot.

In this way, the book has a total plan: Zheng Sheng has nine chips, and Zheng Luo has ten chips.

Zheng Miao is slightly better than Zheng Sheng.

Qiu Fuzi was still more satisfied with Zheng Sheng's performance, and the seven-year-old child competed with a young man in his twenties, but he only lost slightly.

However, in fact, Zheng Sheng knew that he just took advantage of the thousand-character text he had memorized in his previous life, and without this article, it might not be a one-step gap.

"Counting, art. I once read the "Nine Chapters of Arithmetic" of the former Han Dynasty, and today I propose ten questions from it, one of which counts three chips, and the rules are carried out according to literacy. ”

Zheng Ming's eyes lit up, nine chapters of arithmetic?

Zheng Sheng nodded, Nine Chapters of Arithmetic? I think I've heard of this name. Ancient Chinese mathematics shouldn't be too difficult, right?

"Arida Guang seventeen steps, from thirteen steps, ask for Tian geometry?" Qiu Fuzi gave the title.

Zheng Meng raised his eyebrows, quite surprised.

Zheng Sheng frowned, step, he knew that it was a unit of length. Wide? From? Field? Is this asking the question of area? Guang and Cong mean long and wide, right? Zheng Sheng wasn't sure. Besides, he doesn't know what the unit of area is. acres? But how much is an acre? Zheng Sheng didn't know, so: "Elders first, eldest brother first." ”

Zheng Meng sat behind the desk, picked up the prepared calculation chips and began to calculate, and after a while, Zheng Luo said: "It's 221 steps." ”

"Correct, plus three chips." Qiu Fuzi was a little surprised, this Zheng Meng has a wide range of knowledge!

Zheng Sheng was stunned, is the area unit also a step? Supposedly, the length is the step, and the area should not be the square of the step? Forget it, let's take a step.

"Zheng Sheng, it's your turn." Qiu Chudao looked at Zheng Sheng's somewhat tangled expression, "Listen, there is also a field, sixteen steps wide, from fourteen steps, ask for Tian geometry?" ”

Zheng Sheng thought about it, and was afraid that his oral arithmetic ability would deteriorate so badly that he would make a mistake, so he took a pen and began to calculate. Arabic alphabet? I can't use it here. However, it is also possible to write Chinese characters by column and vertical calculation, and after listing the formula, Zheng Sheng calculated silently, and finally three words appeared in the line of the result.

"Well, 224 steps."

Everyone has been watching Zheng Sheng closely, and everyone was a little surprised to hear him report the answer so quickly, he wouldn't be casually reported, right?

Zheng Wen, another son of Zheng Yuan, who was sitting on the side and rarely spoke, looked at Zheng Sheng with some surprise. Zheng Wen knew that he was not wrong. As the principal of the Zheng family in charge of finance and commerce, Zheng Wen has strong mental arithmetic ability. But he didn't expect that Zheng Sheng didn't use the calculation, nor did he do mental arithmetic, it seemed that he had written down some kind of algorithm and calculated the answer, which was fast and accurate.

Qiu Fuzi didn't expect Zheng Sheng to calculate the answer so quickly, he looked at Zheng Sheng suspiciously: "That's right, add three chips." ”

"The second course." Qiu Fuzi felt that he was underestimating the Zheng brothers, so he wanted to make it more difficult: "There are two-thirds, four-sevenths, and five-ninths. ”

Zheng Meng smiled: "One and fifty-thirds of sixty-thirds." ”

Qiu Fuzi nodded: "Get three chips." "I thought to myself, this kid has really read nine chapters. This question is the original question in the nine chapters, and Zheng Miaoji is clear and gives the answer directly.

"Today there are eight-ninths, minus one-fifth, ask how much is the remainder?"

It was still a matter of scores, Zheng Sheng began to calculate again, and calculated: "Thirty-one out of forty-five." ”

Qiu Fuzi nodded, "Correct, you have to get three chips." "It's the same original question, Zheng Sheng is calculating, it seems that he hasn't read nine chapters. However, is this kid's arithmetic so powerful? Qiu Fuzi thought that Zheng Meng had read nine chapters, so I am afraid that this arithmetic would not be difficult for him. Master Qiu is very curious about Zheng Sheng, seeing how many questions the old man has come up with, he can stump you!

The third is the topic of the Pythagorean theorem. Zheng Sheng successfully came up with the correct answer, which was simply too simple for Zheng Sheng.

The fourth problem is the volume problem, and Zheng Sheng's problem is a problem of finding the volume of a dam with a trapezoidal cross-sectional area. This question is a bit computational, mainly because writing Chinese characters is far more troublesome than writing numbers, and Zheng Sheng wrote a full sheet of paper to get the correct answer.

At this time, everyone was a little shocked, because Zheng Sheng not only answered correctly, but also answered the question much faster than Zheng Ming.

Zheng Miao removed the surprise in his eyes and continued to answer the question.

Question 5.

"Today, some people buy chickens, eight people are out, and there are seven profits; People out of six, less than eleven. Q: What is the number of people and the price of chickens? ”

Zheng Sheng began to ponder, a group of people pooled money to buy a chicken, each person paid eight yuan, seven yuan more, each person paid six yuan, and eleven yuan less. How many people are there? How much does a chicken cost? Well, that's a problem with binary systems. Just set the element to solve.

Zheng Meng fiddled with the calculation plan for a while, breathed a sigh of relief, and gave the answer: "Nine people, the price of the chicken is sixty-five yuan." ”

"Today, there are people who buy chickens together, and they are out of eleven and eight in profit; Nine people are out, less than six. Q: What is the number of people and the price of chickens? ”

Almost the same title, everyone seemed to be aware of Qiu Fuzi's intentions. Zheng Yang is also desperately fiddling with the calculations, but he can't solve it, how to solve this kind of problem? He was a little desperate. He could still solve Zheng Sheng's problem before, but the speed was not as fast as Zheng Sheng, but Zheng Yang didn't know where to start with this problem! Is he really inferior to Zheng Sheng?

Zheng Sheng wrote:

The outer is equal to eleven Ai minus eight, and the outer is equal to nine Ai plus six.

Two Ai equals fourteen, and Ai equals seven.

Outside is equal to nine times seven plus six, which is equal to sixty-nine.

"Seven people, the price of the chicken is sixty-nine dollars."

Qiu Chudao walked over and picked up Zheng Sheng's manuscript paper, "What are you?" Outside? Mugwort? ”

"Master, it's time to announce the answer." Zheng Sheng said softly: "This solution is not easy to explain clearly, I'll tell you later." ”

Qiu Fuzi nodded, and while thinking about Wai and Ai, he announced: "Correct, add three chips." Question 6...... Well, there's no sixth question anymore. Then, the math competition is over, Zheng Meng is thirty chips, Zheng Sheng is thirty chips. Comparable. ”

Zheng Sheng raised his hand: "Master, it can't be comparable." "Just kidding, if he's comparable, won't he lose? It's easy to have a discipline that can crush Zheng Meng without crushing, Zheng Sheng really wasted this opportunity in vain.

"Kewu, what do you want to say?"

Zheng Sheng stood up, of course, he was going to add a match, he saluted Zheng Ming, "I once saw a math problem in an ancient book, and asked my eldest brother to solve this problem." If the eldest brother can figure it out, the younger brother will stay in Wancheng. can't calculate, then let the younger brother Shunyang and Nanyang come and go freely. How is it? ”