Chapter 45 Puzzles
In the study, Li Yan, Tang Shishi and Tang Xiu, brothers and sisters, sat upright in the listening position, and Mr. Xu Bai sat at the lectern, and in front of him there were four treasures of the study and a book of mathematics.
And today's lecture is mathematics, which is a mathematical discipline, Xu Bai is lecturing here, and Li Yan and Tang Shishi and other four people are sitting below and listening carefully.
"Before I speak, let me ask a question, one plus one equals more," Xu Bai looked at Tang Xiu and said, "Tang Xiu, you will answer this question." ”
When Tang Xiu heard Xu Bai call himself to answer, he stood up and complained first: "Why do I answer every time." ”
However, complaining is complaining, but Tang Xiu still replied: "It's so simple, of course, it is equal to two three." ”
After Xu Bai heard Tang Xiu's complaints and answers, he motioned for him to sit down and said, "Why do you say it's you every time, of course it's because you're late, so I don't look for anyone you want." ”
When Tang Xiu heard Xu Bai's reason, he was speechless for a while, but he couldn't find a rebuttal yet, and Tang Shishi and Li Yan also laughed when they heard this.
Xu Bai glanced at Li Yan and Tang Shishi, and after they finished laughing, he continued: "The one plus one equal one you answered just now is right, but it is not absolute, maybe in your cognition, some things are absolute, but some logically speaking, the answer to some things is two, or above, then I will continue to talk about it just now, let's give an example first, one tael of silver plus one tael of silver, is it equal to two taels of silver?" ”
Li Yan, Tang Shishi and the others, hearing this, nodded, Xu Bai paused and continued: "Let's take this as an example, a pile of millet, plus a pile of millet, you will definitely say that it is equal to two piles, right?" Saying this, Xu Bai looked at Li Yan, Tang Shishi and the others.
When Li Yan, Tang Shishi and the others heard this, they looked at them with Xu Bai and nodded, "Yes." ”
Seeing this, Xu Bai didn't say anything else, and continued the topic just now and said: "It's equal to two piles, which is true, but there is another answer, which is equal to a bunch, do you know why?" ”
When Li Yan, Tang Shishi and others heard this question, they all shook their heads, saying that they didn't know. Xu Bai shook his head when he saw the four of them, as if he was expecting, and just said: "Give you time to think for a while, say what you know, if you don't know, when the time passes, I will explain it to you." After speaking, Xu Bai sat at the lectern and looked at everyone.
Li Yan, Tang Shishi and the others let them think for themselves, and they all began to ponder, and the Tang Xiu brothers and sisters and Tang Shishi discussed things together.
Li Yan held his chin and thought about this question, why is a pile of millet and a pile of millet equal to a pile, and why is this happy? When Li Yan thought of this, he thought back to the time when he was at home, when he helped Wen Monkey and Wang Yan dry their food, thinking of this, Li Yan's heart is really a little towards them now, I haven't seen them for almost a month, and I don't know how they live now, are they also thinking about themselves, thinking of this, Li Yan's mind has long been afraid of how far to fly.
Now Li Yan is thinking about the scene where he was harvesting grain with Wen Jing's sister and brother and Wang Yan, and the four of them were talking and laughing together to harvest the grain into piles and piles, and then they were combined into piles and piled up in the shed where the grain was loaded.
Li Yan thought that the distant thoughts came back all of a sudden, and the person came back to his senses all of a sudden, and in recalling the memories just now, in this process, Li Yan gradually understood why Xu Bai would say that a pile of millet and a pile of millet are equal to two piles, and it turned out to be a pile of synthetic piles. Now that Li Yan has figured it out, it's time to talk about his opinion.
"Sir, I have an answer in mind, and I don't know if it's right." Li Yan raised his hand and shouted.
Xu Bai heard that Li Yan actually thought of the answer so quickly, and he was also curious about what his answer was, so he looked at Li Yan and said, "Oh, so fast? Then you talk about it, and then I'll see if it's right or not. ”
Tang Shishi and Tang Xiu, who were discussing on the side, heard that Li Yan knew the answer, and they were very curious to know what the answer Li Yan said, and they both looked at Li Yan seriously to see what he said.
When Li Yan heard Xu Bai's words, he nodded and said: "Under normal circumstances, a pile of grains, plus a pile of grains is equal to two piles, but if two piles of grains are combined, it is not two piles, but a pile, this is my understanding, I don't know sir, am I right?" ”
When Xu Bai heard Li Yan's answer, he had a little appreciation when he looked at Li Yan, and after listening to Li Yan, he nodded and said, "Well, it's very good, the logic is not bad, that's right, that's what it means." ”
Tang Shishi and Tang Xiu, brother and sister, when they heard Xu Bai say that Li Yan was right, they admired Li Yan very much, after all, this question may not be thought out for a day, and Li Yan didn't have time for half a pillar of incense, so he came up with it.
"This is just one of them, there are many questions like this in this world, there are countless wonderful questions in this world, if one day, one of you can find an interesting question and answer it, then you can also become a great sage." Xu Bai paused here and said: "Mathematics is such a wonderful science, take the question just now, if those Confucian sages know what to say, they will definitely scold, after all, they are all talented and powerful people in the field of literature, and the answers to some questions are intuitive affirmations, so they disdain this understanding and answer, but, in later generations, I am sure that the importance of mathematics is not under literature." Alright, moving on to today's teaching. ”
In the following time, Xu Bai taught some basic knowledge of mathematics, and it was like this until the Shen time in the afternoon.
"Okay, that's all for today," Xu Bai saw that he was almost done, so he didn't say anything, but suddenly thought of something, and to: "Oh, by the way, I came up with a question about the number of nine palaces, and you will answer it today, and you will show it tomorrow." ”
After speaking, Xu Bai picked up the brush and wrote on the paper, and after a while, he stopped writing, handed it to Tang Xiu and said: "The number of the nine palaces, the three numbers in each column and each row are added, and the answer that comes out must be added with other numbers, and the answer obtained is the same as the answer that also comes out, in other words, it is the same number that comes out." Okay, you can discuss this together, and you can give it to me when you come tomorrow. After speaking, Xu Bai left. But as soon as he took two steps, he stopped, looked at Li Yan and the others and said, "Oh, by the way, the remaining numbers are all numbers from one to nine, and they are meaningless numbers, so they can't be repeated." ”
After Li Yan, Tang Shishi and the others saw Xu Bai leave, they gathered together, and they were all curious about what the so-called number of nine palaces was. But when they opened the paper and saw what it was, they were all head-size.
After reading Tang Shishi, Tang Xiu's brother and sister, they all looked at Li Yan and asked; "Li Yan, will you do this?"
When Li Yan heard what they asked, he rolled his eyes and looked at them and asked, "I'm curious, why do you all have to ask me,"
"Why?" Tang Shishi heard Li Yan's question, smiled and said, "Why do you want to ask you, we don't know this." ”
When Li Yan heard this, he was speechless, but he became even more speechless, and said helplessly: "Is this enough, this is still my first contact with mathematics, so I don't know if you ask." ”
When Tang Xiu heard Li Yan's words, he said in disbelief: "First contact? Then the question you just answered is so perfect. ”
When Li Yan heard this, he explained: "That, I recall the scene when I helped other people's families dry grain, which is very similar to the answer to this question." ”
As soon as Li Yan finished speaking, Tang Shishi said: "Okay, let's go to the garden and sit, while eating, we think about the number of the nine palaces, we can't be seen by others, but we won't know anything." ”
"yes, okay." Tang Lan also nodded and said, "Sister Shishi is right, this is obviously Mr. Xu Bai's embarrassment for us." If you think about it, this religion has never been taught, and you haven't seen it, so let's do this, it's obvious. ”
"Tang Lan is right," Tang Shishi nodded when he heard Tang Lan say and said: "This Mr. Xu Bai, before he became a gentleman, was a talented man from an ordinary family, and sometimes he had no money to buy books, so he cherished books very much. When Mr. Xu Bai heard this, he was very angry, so he stepped forward to beat the children of the family who burned the books, and the result was that the man brought two family members, Xu Bai was beaten and his nose was swollen, and then he didn't like our children of the family, and commented that we were people who didn't learn and didn't know how to learn. ”
When Tang Xiu heard what Tang Shishi said, he said unhappily: "One person's fault, why does he say that all the children of the family are people who don't learn and don't know how to do it, isn't this a stick that kills everyone." ”
When Li Yan heard Tang Xiu's words, he smiled and said: "Hehe, this is also a very normal thing, you think about it, a person who loves books, and someone who has no money to buy books, will be angry when he sees this kind of thing," Li Yan said here, looking at Tang Xiu and asking: "What if this person who can't afford to buy books and the person who loves books is you." ”
Tang Xiu said without thinking about it: "Of course you will be very angry. ”
"Yes." Li Yan heard Tang Xiu's answer, nodded and said: "You will be angry, others will also be angry, after all, people are not sages, so Mr. Xu Bai said that it is nothing for the children of the family to do this, as long as we do our best, he will not have such an opinion." ”
"Li Yan is right, so we don't have to care about anything, he knows that he doesn't teach us knowledge, just learn us well, there is no need to deliberate anything," Tang Shishi didn't want to continue to say anything on this topic: "Okay, let's go eat something." ”
After saying that, Tang Shishi came out of the study, and Li Yan and Tang Xiu's brother and sister had no choice but to go out. After all, it's not interesting here either.