In fact, this is the case in theory, but no one can have the ability to calculate the superposition position of the sound wave reflection in the entire opera house.
The amount of calculation is too much. After all, the human brain is not a computer.
But there is also a trick, and that is to use the two foci of the ellipse. As long as the stage is placed at one focus of the ellipse and the sky-sized room is placed at the other focus, the best listening position can be easily obtained. Calculating the two foci of an ellipse is countless times easier than calculating every reflection position of a sound wave.
The original opera houses were all built according to the elliptical pattern. This is the reason. Moreover, when the original opera house was built, the two focal points of the ellipse would not be placed parallel to each other, but would be at an inclined angle, so that the echo effect could be used as much as possible.
After Han Du finished explaining, Lao Zhu really seemed to be listening to a book from heaven.
Just when Han Du thought that he was finished and Lao Zhu had lost face. Lao Zhu smiled and nodded calmly, and said, "I didn't expect you to be proficient in arithmetic, Han Du. Yes, you have a bit of Bowen's style."
As soon as Lao Zhu said these words, Zhu Biao brothers all looked at their father with admiration. Unexpectedly, their father actually understood. The brothers suddenly respected and feared their father. When Han Du explained just now, they listened with open ears. But except for the first few sentences, which they could barely understand, the rest were like listening to a book from heaven.
Especially Zhu Biao felt the strongest. He felt the same strongly as when he saw Han Du's memorial. He knew every word, but he didn't know what they meant when combined.
However, his father was able to understand, which made Zhu Biao lament that he was still far behind compared to his father. In his opinion, Han Du was talking about arithmetic, while Liu Bowen was known as the best arithmetic in the Ming Dynasty when he was alive, and he could be said to be the first person in arithmetic. Since the father thought that Han Du was somewhat more charming than Liu Bowen, he naturally understood.
Han Du's heart was filled with ten thousand grass and mud horses. As expected, Jiang was still very old. Lao Zhu pretended to understand and deceived everyone except himself.
Why is Han Du so sure that Lao Zhu is pretending to understand? That's because Han Du knows the mathematical things he just said. Let alone Lao Zhu, even if Liu Bowen came alive and stood in front of him to listen, he would only look confused and not understand.
This is not a gap in IQ, this is a gap in mathematical development.
However, Han Du would not be an idiot enough to expose Lao Zhu. Not only could he not expose him, but in order to avoid losing face to Lao Zhu, Han Du also needed to support Lao Zhu's pretentiousness.
Therefore, Han Du showed an open-minded attitude and said quickly: "Your Majesty is right, I still have a lot to learn."
Lao Zhu took a deep look at Han Du, but said that he had a lot to learn, and did not directly say that he had some of Liu Bowen's abilities. It seems that this kid is very arrogant. He thinks that his arithmetic is no worse than Liu Bowen?
In this case, I will test you to see how arrogant you are.
"Nine hundred and ninety-nine cents. If you buy a thousand pears in time, nine pears will be eleven cents, and seven fruits will cost four cents. Ask, how much do pears cost?" Lao Zhu said "Four cents" as soon as he opened his mouth. The title in "Yuan Yu Jian", "Si Yuan Yu Jian" is a collection of books in the palace and is never shown to anyone. Han Du will definitely not have read it. Therefore, Lao Zhu took out this question to test Han Du.
The meaning of Lao Zhu's words is: Use 999 pennies to buy a thousand pears and fruits in total, nine pears for 11 pennies, and seven fruits for four pennies. How many pears and fruits did you buy? How much did you pay for each?
This question is very difficult for people of this era, even more difficult than the chicken and rabbit in the same cage problem. The question of chicken and rabbit in the same cage only asks how many heads and legs are. These are all integers and are very easy to understand.
But what appears in this question is fractions. For Ming people who have not systematically studied and understood fractions, it is naturally an even more difficult question.
But for Han Du, isn't the answer obvious? The price of pears is eleven-ninths of a penny, and the price of fruit is four-sevenths of a penny. The unit price is already there, you just need to list a formula and do the math to know the answer.
Han Du didn't even need to list the formulas. He just did a simple mental calculation and knew the answer in just a few breaths.
"Back to the Emperor, I have six hundred and fifty-seven pears, with a total price of one hundred, eighty and three cents. There are three hundred and forty-three fruits, with a total price of one hundred and ninety-six cents."
Is this coming out so soon? It can't be a trick.
Zhu Biao and his brothers all looked at Han Du in disbelief. Even Zhu Ru couldn't help but put down his medical skills and turned to look at Han Du blankly.
Several people were very eager to know whether Han Du was deceived, so after they glanced at Han Du, they all looked at their father.
Lao Zhu's face was a little stiff. The purpose of asking this question was to embarrass Han. After all, he had also tested Liu Bowen on this topic, and even Liu Bowen had spent three full days and used various methods before he came up with the answer.
But Han Du blurted out the answer in an instant without even a trace of delay. It was as if he knew the answer just after he said the question.
Lao Zhu pondered, looking at Han Du with an inquiring look, and asked: "Have you seen this question before?"
"No!" Han Du replied blankly without thinking after hearing this.
Why did Lao Zhu ask this? Is this question difficult? Han Du expressed confusion.
Lao Zhu looked at Han Du deeply, with an unclear meaning in his eyes. He suddenly laughed and said, "Okay, it seems that I underestimated you just now. Now it seems that you are comparable to Liu Bowen in terms of arithmetic and mathematics." "
When Zhu Biao and others heard what their father said, they all looked at Han Du in shock.
Enough to rival Liu Bowen!
These words came from the father's mouth. What kind of high praise does this have for Han Du? Zhu Biao and others had met Liu Bowen and were deeply impressed by Liu Bowen's wisdom. The reputation of the Ming Dynasty's number one god was not in vain.
But now my father actually thinks so highly of Han Du, and he can beat Liu Bowen, and he is still so young. Doesn't this mean that the second god of the Ming Dynasty is about to appear? Or is it the person in front of me who has already appeared?
Zhu Biao was very happy about this. After all, he and Han Du had a very good relationship and could be regarded as irreconcilable. Since Han Du is the second god-man of the Ming Dynasty, doesn't he have a god-man to assist him just like his father?
