Chapter Seventy-Four: Apprenticeship (I)

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On the morning of the third day, Zhuge Liang and Pang Tong came! In addition to the two of them, there are Pang Shanmin, the son of Pang Degong, and Pang Lin, the younger brother of Pang Tong! Pang Shanmin, the word Shiheng, the son of Pang Degong, the cousin of Feng Xiao Pang Tong, married Zhuge Liang's second sister as his wife, and was Zhuge Liang's second brother-in-law.

It's a mess again, Tian Fan knows Zhuge Liang and Pang Tong, and the two young people are also very affectionate to him! The focus is on Pang Shanmin and Pang Lin, Pang Shanmin is twenty-seven or eighteen years old, not very similar to his old man, mainly because he is much taller, Pang Lin is twelve or thirteen years old, and both of them have heard of Tian Fan. Just imagine, Pang Degong hangs on his lips all day long, and Zheng Kangcheng said that the countrymen, they will definitely have a deep impression! After everyone saw the salute, they took their seats.

Zhuge Liang's second sister is very interested in a few girls, especially Big and Small Qiao. It's no wonder that people are long, and they are to be welcomed. Except for Huang Yueying and Xiaoqing, who wanted to stay here and listen to Tian Fan and them, the other women all went to the backyard.

Tian Fan saw that Zhuge Liang and Pang Tong were looking at him, and asked, "Xiaoliang, Shiyuan, why are you two looking at me like this?" ”

Zhuge Liang is still several years away from becoming a teacher, although he has long had the word "Kong Ming", but he has not gone through the process of being given the word by the elders, Tian Fan called him "Xiaoliang". Although Pang Tong did not perform the crown salute and was not officially given the word by the elders, he will be a teacher next year, so Tian Fan calls him "Shiyuan".

The two ghost elves glanced at each other, Zhuge Liang scratched his head embarrassedly, and said, "Brother Boguang, I haven't solved the problem you gave!" Let Shiyuan help, the two of us have been thinking about it for two months now, and we still can't find an answer to twenty lines! ”

Tian Fan said with a smile: "It seems that it is my sin!" It's going to delay your studies! ”

The two hurriedly said no.

Pang Degong asked curiously: "Boguang, what question did you give Xiaoliang?" ”

Tian Fan said: "Hehe, I made a bet with Xiao Liang when we met last time, Xiao Liang, you can tell a few elders!" ”

Zhuge Liang shook his head again and again, and said: "That's not good, if you say it, what if the three gentlemen solve it?" ”

Tian Fan shook his head and said, "Xiaoliang, you can rest assured, there will never be the best answer to this question, only a better answer!" I told you last time, I know seven kinds of twenty line answers, then there may be eight, nine or even ten twenty kinds, you just have to come up with three, well, forget it, I'll be more generous! As long as anyone here, of course, except for me, can come up with three, even if you win! ”

Zhuge Liang thought about it, and finally nodded in agreement, he has been thinking about this question for half a year, and there is no answer yet, it is too difficult! He spoke to the people about the subject. These people have a certain degree of attainment in mathematics, otherwise they wouldn't be able to learn formations at all, so they are interested in studying this topic one by one. By late evening, the men had not been able to find a chart of twenty lines. Huang Yueying came up with a sixteen-root one, Huang Chengyan and the three old men cooperated to come up with an eighteen-root one, and the others got nothing. Of course, Zhuge Liang and Pang Tong must be removed, after all, the two of them have been studying for a long time.

Tian Fan clapped his hands and said, "Everyone, let's stop here today!" Hehe, this topic will not be studied for a thousand years, so there is no hurry! I'm hungry, I think everyone is hungry, right? Hehe, eat first! "When everyone looked at the sky, it was true! Pang Degong hurriedly ordered someone to prepare dinner.

After dinner, Sima Hui continued to teach Tian Fan the contents of the bamboo slips, and the others continued to solve the problems together with great interest.

In the next few days, Tian Fan finally fully learned the content contained in the bamboo slip, but he was not proficient, and it was easy to forget to practice once he was distracted! And although the others worked the question, they could only come up with some fourteen and sixteen answers, none of which were eighteen, let alone twenty. Even Zhuge Liang said to Tian Fan in private: "Brother Boguang, your question is too difficult!" I've never seen three teachers frown at the same question, and for so many days without the right answer! Tian Fan smiled and said, "Hehe, this question is already difficult!" ”…,

Tian Fan said to everyone: "Three gentlemen, everyone! I'll give you a twenty-line answer, maybe you can find inspiration! ”

Pang Degong hurriedly said: "No! Hehe, Boguang! It's been a long time since we've had such a challenging thing for the three old men, and you've got to make our lives a little fun, aren't you? ”

Tian Fan smiled and said to Pang Degong: "Pang Gong! I know seven answers, and this one is the easiest to think of! ”

These people studied for several days in a row, and they didn't even have an answer to twenty points, and they were all shocked when they heard Tian Fan say this.

Tian Fan smiled and continued: "As for the fun you said, hehe, I can teach you a new game!" It's definitely fun to study! ”

Pang Degong and the others were busy asking what game was, and Tian Fan told them how to play chess. He drew the chessboard of chess, talked about the pieces on both sides, then talked about the specific way in which each piece moved, and finally gave a few examples of certain death, such as hindsight.

Several people studied it for a long time, and Sima Hui sighed: "Boguang really has a seven-trick exquisite heart!" This chess is integrated into the art of war strategy, and it is also related to the number of techniques, hehe, the more you look at it, the more flavorful it is! ”

Several old men and Xu Shu Zhuge Liang Pang nodded again and again, obviously they could already understand the mystery of chess! And Shi Tao and the others are confused, and they haven't fully realized the excitement of chess yet!

Unlike Go, chess is easy to get started, but it is very difficult to master.

Pang Degong shook his head, happy and annoyed, and said, "Boguang, you can tell you an answer!" Hehe, you have a question, and then give a game, hehe, we old men will never be lonely again! But this question is too difficult! When they heard this, they chuckled together.

Tian Fan drew the answer, it was the one with the pentagram, which was relatively the easiest image! In order to explain the reasons in detail, Tian Fan had to explain some geometric formulas and theories in later generations, including angles and Arabic numerals. This, of course, will lead to more questions, Tian Fan explained them one by one! Fortunately, these things are all learned in junior high school and high school, and they are not too esoteric, otherwise I would have made a fool of myself!

It didn't take much effort for the three old men to understand the wonderful use of Arabic numerals, which is very useful in the study of mathematics when settling accounts!

Huang Chengyan shook his head a little depressed, and said: "I thought that in the Han Dynasty, my skill level could be the highest, but today I know what it means to have someone outside the world!" These things that Boguang talked about are simple and practical, and they are really better than "Nine Chapters of Arithmetic"! ”

Sima Hui nodded and said, "Not bad!" These numbers are so useful and profound! With them, our math research will be much more convenient! It's really, it's really ......" shook his head, and he didn't say anything more.

Several young people looked at Tian Fan with admiration on their faces, the person who could make the three teachers admire, they had never seen it! Huang Yueying felt that her eyes were full of little stars, and her admiration for Tian Fan was like a surging river!

Tian Fan made the three old men's faces almost drip blood from a few words, and said again and again: "Three gentlemen, what, I'm afraid of boasting, I will be proud......" Everyone laughed!

Sima Hui said: "Hehe, Degong, Chengyan, let's not go far in two years, concentrate on studying the usefulness of these numbers, how about it?" ”

Pang and Huang agreed again and again, and Huang Chengyan said: "In this case, you all just move to me!" I'm spacious, and I'm calling the students there, and hehe, we're going to study the magic of the numbers every day, and then we're playing chess, teaching the students, and then we're going to solve the tree planting problem! In this way, we can also discuss this question and this number when we encounter difficulties! In addition, hehe, Boguang can write a letter to us directly and write one, and there is no need to bother to write three letters! Haha, so, is there anything more in this world that makes us happier? ”…,

The two nodded, and Sima Hui said, "Okay!" It's up to you! "Huang Chengyan's family is relatively wealthy, and it is also a very high-status family in Jingzhou, and it is also a noble family, which can be imagined from Cai Mao's eldest sister marrying him!

Tian Fan said to the three old men: "Three gentlemen......

Pang Degong waved his hand and said, "Boguang! You call Cheng Yan and Mr. Sima uncles, why don't you call me uncle? Do you look down on me? ”

Tian Fan didn't even dare to say it, he continued: "Three uncles, the topic of planting trees is actually very valuable in reality, hehe, as for what value, I won't talk about it first!" ”

Sima Hui nodded and said, "Hehe, I have already seen it!" It can be applied in formations! The other two nodded.

Huang Chengyan looked at Tian Fan in a daze, and thought, if Yueying is willing, I will let Boguang marry him if I say anything, this kid is too talented! Then he looked at Huang Yueying and found that this girl was also looking at Tian Fan with admiration on her face! Huang Chengyan smiled, he smiled very weirdly, looking at Tian Fan! Tian Fan was very uncomfortable by Huang Chengyan's gaze, dodging this scorching gaze and hiding behind Xu Shu!

When everyone saw Tian Fan's appearance, they couldn't help but laugh again! Sima Huixiao's tears were about to come out, he pointed at Tian Fan and said, "You kid! Hehe. It's been a long time since I've had this fun! ”

Seeing that the three of them were happy, Tian Fan lowered his head and thought for a while, bowed deeply to the three of them, and said, "Three uncles, if you want to ask the three of you to do a favor!" ”

The three of them looked at each other for a moment, and Sima Hui asked, "Boguang, if you have something to say, as long as the three of us can do it, we will definitely do it for you!" ”

Huang Chengyan and Pang Degong also nodded in agreement.

Tian Fan said: "Whoever knows his ability, he also knows his energy!" I have something I want to promote, but considering that I don't have that much fame, I can't do it myself! So I would like to ask the three gentlemen! ”

Seeing that Tian Fan said solemnly, the three of them also put away their smiles, and Sima Hui said, "Boguang, please speak!" ”

Tian Fan said: "Three uncles, I have a kind of punctuation!" If it is generalized, then there will be no ambiguity in the text! Please help me! ”

The three of them had already seen the magic of Tian Fan, and they did not doubt his words, Huang Chengyan said: "Boguang, tell me about that punctuation mark!" ”

Tian Fan nodded, and explained in detail the types and uses of punctuation. For nearly half an hour, Tian Fan's mouth was dry before he finished speaking.