Chapter 50: The Topic of Egg Pain
For many years, Liu Fuyao met Liu Meng for the first time, secretly observing, he is also a rampant person, your father is rampant but has strength, what is your kid, and said: "Director Mu, it's time to announce the results of the debate." ”
Mu Xue didn't want to see Liu Chong's results, but first opened Liu Chong's battle question.
"Prove that root 2 is an irrational number by the method of spatial geometry. ”
The method of spatial geometry is so difficult.
I can't even search for any information in my head.
Liu Fuyao was quite complacent.
Mu Xue's heart fell to the bottom, and Liu Meng was clearly going to lose, which was really unbearable.
Let's look at the battle questions provided by Liu Meng.
"Three ways to prove 0.9999......=1. ”
Everyone gasped when they saw this question, it was really cunning enough, and infinite proof was the most difficult, so they had to provide three methods.
Liu Fuyao was also taken aback when he saw it, it was not the legend of Mu Xue's previous reward.
Mu Xue's eyes widened, a picture was incredible, she glanced at Liu Meng who was sitting quietly, and there was an inexplicable excitement in her heart, yes, Liu Meng never let her down, he was the best.
Liu Furui said angrily: "Boy, I must remind you that the battle questions provided must be able to be answered by yourself. ”
"Don't bother the city lord. ”
Mu Xue regained her composure and shouted coldly: "City Lord Liu, the debate between prospective scholars is not under your control, please be cautious in your words and deeds." ”
The little girl actually helped me to save face, Liu Furui is the most narrow-minded and hateful.
But people are right, the city is in charge of the affairs of the scholars, and in this palace of wisdom, Mu Xue has the final say.
Liu Fuyao saw the depressed expression in his son's eyes at this time, and he also knew that his son had not made this battle problem, not to mention his son, that is, he didn't have much thought for a while, and it was not easy to involve infinite proof.
Everyone stared straight when they saw the two battle questions, both of which were very common but extremely tricky.
Mu Xue said: "Liu Chong, have you made a battle problem?"
The initiative was back in her hands.
Liu Chong felt very uncomfortable and said, "I have only found two methods of proof after thinking about it, and I don't think there can be a third method." ”
As soon as these words came out, everyone was shocked, these true scholars didn't come up with two kinds for a while, they are really talents.
Liu Chong looked at Liu Meng and said hatefully: "My proof method has been written down, can you please explain to you which three solutions are there?" ”
Everyone is also very curious, which are the three methods.
Liu Meng said: "Then I'll talk about it, this first one is the simplest, I'm afraid everyone here knows it." ”
This is very arrogant, but all of you are seniors, and they are all true scholars, and all of them have bad faces.
"In the first case, 1/3 = 0.333...... , so 1=3X1/3=0.333...... X3=0.999......。 ”
"This second one is a little bit winding, setting A=0.999...... , then 10A = 9.99...... , so 9A=10A-A=9.99......-0.99......=9, so A=1. ”
"Wait, this second approach is debatable, and I don't think it's appropriate. The old scholar Chu Qiang's voice was like a flood of Zhongdao.
He has always been a staunch follower of Liu Fuyao, his talent is really not good, he was 23 years old when he became a quasi-scholar, but he was lucky to succeed in the third star worship, and there was no progress for decades after that, closely following the Liu family, the Chu family is also rising in Bei'an City, and the grandchildren are even more than a Chu Jing, who became a quasi-scholar at the age of 19 and 4 months, and has always intended to marry his granddaughter to Liu Chong, but Liu Fuyao has not nodded.
Liu Meng said: "0.999......=1, which has always been a problem that is not easy for primary school students to accept. ”
"Elementary school students?" Chu Qiang's beard was very long and white, although he didn't know what a primary school student meant for a while, it was definitely derogatory from the literal sense, and he immediately blew his beard and stared.
"The fundamental reason is that the logic is too weak, from the finite to the infinite, from the quantitative change to the qualitative change, it is difficult to understand, that is not to understand the limit of the idea at all. ”
That's too much.
The old master was so angry that he was short of breath, touched his chest with one hand, and almost fainted.
Mu Xue looked very happy, all of them were not young, but they were willing to be Liu Fuyao's lackeys, and the faces that tended to be inflammatory, united to attack her, and almost didn't cry urgently.
She also said: "Scholar Chu, this method has been demonstrated by many scholars in the Wisdom Palace, and it is indeed not wrong, you are wrong." ”
Liu Fuyao was very angry, there was really nothing wrong with this method, Lao Chu was not in the place to play the question, but gave Mu Xue, a junior, a chance, waved his robe, and said: "This second type is no problem, so what about the third one?"
"The third. Liu Meng deliberately sold a pass, and everyone's hearts suddenly rose, "0.999......=0.9+0.09+0.009+...... This is an infinite proportional sequence, and the summing formula must be clear to all of you, and you can get the answer 1 as soon as you calculate it. ”
"It's ingenious. Mu Xue couldn't help but sigh that Liu Meng can always find an extremely subtle angle to solve the problem, and the same is true of the infinite legend last time.
As soon as Liu Chong heard this, his heart tightened, it was so easy, why didn't I think of it, he couldn't help but beat his head, this is not difficult at all, I should think of it.
As soon as everyone heard it, they all regretted why they didn't think of it.
"It's not a clever idea, it's just pediatrics. Liu Furui shouted coldly, thinking to herself, her genius nephew didn't expect it.
Mu Xue said coldly: "Pediatrics, it's such a pediatric, but Liu Chong didn't expect it, I don't know where City Lord Liu put your nephew?"
"The first thought is a genius, the second is just a vassal, and after hearing it, it is just a fool to say how simple it is. ”
Mu Xue vented the dissatisfaction in her heart and did not give face at all.
Liu Furui's lungs are about to explode, Mu Xue, a junior, can't get along with him with a pure heart today, and it's too faceless, your Wisdom Palace is just standing in my Bei'an City.
Snorted heavily.
Liu Fuyao's face was also gloomy and terrifying, he found so many people to come over today, and his momentum was extremely strong, and at this moment, it seemed that there was no possibility of winning.
Liu Chong's war book was revealed, and he did only write the first two.
"The virtuous nephew is really worthy of being the son of Brother Liu Zhong, he was a world-shattering talent back then, but it's a pity, in the end, he didn't know where to go, otherwise he might be a bachelor so far. Liu Fuyao praised, but his face did not have the slightest joy, "Virtuous nephew, can you tell me how to use space geometry to prove that root 2 is an irrational number?"
Mu Xue immediately said: "According to the way just now, it should be Liu Chong who says his method first, and then reveals Liu Meng's war book." ”
Liu Fu shook his head and said with a smile: "I forgot." ”
He didn't want to publicize the income he spent a year, according to the rules of the Wisdom Palace, if the results were announced in public, their value would be discounted, but he invited so many people to come, if he asked for private verification, the intention was too obvious.
He expected that Liu Meng would not be able to make it, and this game would inevitably be a draw.