082 Pythagorean theorem
Solving the glass wall, Song Han looked at the turtle shell in Shang Tian's hand, and felt like a world away.
It was so thrilling just now, and if he was a little closer, his guts would have collapsed.
Staring at the turtle shell incredulously, Song Han asked, "Are you the treasure of the number gate?" ”
"Numbers?" Shang Tian remembered the feng shui master of that day, and it seemed that the man in black said that he was from the number gate.
"Well, I guess so, I picked it up too."
Song Han was surprised, "Such a good thing, you picked it up?" ”
He felt that he couldn't see through this brother more and more, "This kind of thing can be picked up, and you talk nonsense, can't you be honest with me?" ”
"I confessed and you didn't believe it, didn't you always think that I was buying questions and memorizing answers, I said I calculated it myself, you still don't believe it, where do you think this turtle shell came from now?" Shang Tian asked rhetorically.
"This kind of thing is unique to the number of sects, you are a disciple of the number of sects, but it's okay if you don't admit it, I know that your sect has rules in the hidden world, and I won't force you to break the rules. It seems that you still have a lot of secrets, did I make friends with some big people? ”
Song Han felt that Shang Tian was not as simple as it seemed.
Shang Tian didn't answer, thinking in his heart, as a good brother, I can't tell you the system, this is my only hole card in this world.
Seeing that Shang Tian was a local tyrant, and medicine was really a common thing for him, Song Han was also energetic, "That big brother, I recognize you as a big brother now, you have to take care of the younger brother." ”
"Am I not enough to take care of you, what else do you need to take you through five levels and six generals along the way?" Shang Tian continued to move forward, responding to Song Han.
Song Han smiled, "That big brother, since you have so many treasures, I believe that you must have a lot of potions, after all, it is still common for feng shui masters to dig up a high-grade spare." ”
Then he paused, "Well, can I ask for two more bottles of that potion?" ”
Shang Tian saw that this kid was scolding himself for being extravagant just now, and now he actually wanted to take advantage of it, so he smiled in his heart and said: "That, this medicine is still quite precious, just now you taught me not to be extravagant, I think I still save a little, how can this medicine be given away casually?" ”
Song Han saw that Shang Tian seemed to be making fun of what he had just done, and his loofah face showed displeasure, "Stingy, I was saving for you just now, and now I find out that you are a fighter among the local tyrants, so naturally you have to squeeze a little, don't let me forget it." ”
He lowered his head and followed behind Shang Tian, feeling remorse in his heart, why didn't he take advantage of Shang Tian's generosity just now to extort a few more bottles of medicine?
As he was muttering, he suddenly found a hand reaching over and holding two bottles of potion.
"Aha, a top-grade potion." Song Han quickly took it, watched it carefully, and sniffed it.
The two eyes lit up, staring at Shang Tian excitedly, like a child getting two candies, "I knew that a good brother would not treat me badly." ”
"Don't be a sycophant, follow me quickly, otherwise I'll fall behind again, and I'll have to settle accounts with the group of guys just now."
Since he treats him as a brother, Shang Tian has no regrets, this guy will treat himself as a rare loofah soup to himself, and he can't be stingy, a few bottles of potions are not a piece of cake in the eyes of Shang Tian now, as long as he is willing, he can refine them at any time.
Along the way, Song Han no longer doubted that Shang Tian had bought the answer, and carefully studied Shang Tian's method of solving the problem.
"Oh no, that's proof."
Song Han saw a glass wall appear in front of Shang Tian.
Just now, I was excited all the way, and I forgot to tell Shang Tian that there is also a difficult area in this room, and ordinary candidates will bypass it, but I didn't expect Shang Tian to keep taking the straight road and taking shortcuts, and he only cared about learning problem-solving skills, and forgot to remind Shang Tian.
"Proof questions? Well, it's true, you kid still have two more hits, you can recognize it. Shang Tian only said that Song Han would also do this question, "Come, give you a chance to exercise, learn and apply, you have just learned so much, now you can do this proof question." ”
Song Han's head shook into a rattle, "This is a problem in the difficult area, let me come, I won't be able to cultivate for a few more years, I haven't learned that level yet, let's come, big brother." ”
"Difficult area? Is this a difficult question? Shang Tian feels that this question is a junior high school geometry proof question, isn't it a common Pythagorean theorem proof, although it is a little difficult, but this theorem has been proved by predecessors in junior high school, I still remember the algorithm pinch.
According to the teacher at that time, there are about 400 ways to prove this Pythagorean theorem, which is one of the theorems with the most proof methods among mathematical theorems. The Pythagorean theorem is one of the important mathematical theorems discovered and proven by mankind in the early days, one of the most important tools for solving geometric problems with algebraic ideas, and one of the links between numbers and shapes.
But now Shang Tian only remembers the simplest of them, which is the method in the textbook.
Make 8 congruent right-angled triangles, let their right-angled sides be a, b, and hypotenuse c.
Make 3 more squares with sides of c length.
Take 2 triangles and put them together to form a and b rectangles, and then make the same rectangle.
Two rectangles and a square with a side length, plus a square with a side length b can be combined into a square with a side length a+b.
The remaining four triangles enclose a square with a side length of c, and a square with a side length of a + b (in the middle is a square with a side length of c).
The two squares are equal in size.
The area of the first one is the square of a plus the square of b plus 4*1/2*ab.
The second is the square of c plus 4*1/2*ab.
Since the areas are equal, the square of a plus the square of b plus 4*1/2*ab=the square of c plus 4*1/2*ab.
So the square of a plus the square of b = the square of c.
Nature is that the sum of the squares of the two right-angled sides is equal to the square of the hypotenuse.
Seeing Shang Tian finish solving it with several qi on the glass curtain wall, Song Han was shocked, "Big brother, are you still my big brother?" ”
He is already difficult to describe in words, this question is simply too cleverly answered, my eldest brother can be so powerful?