I just want to be a quiet scholar

Chapter 46 It seems a little stressful

It is generally believed in the world that IQ includes indicators such as observation, memory, imagination, judgment, deduction ability, and logical thinking ability.

Therefore, most of the questions on the IQ test are related to mathematics, and mathematics includes the above indicators.

Westerners pay more attention to the ability of logical thinking. The old saying in Western academic circles is: "Logic is invincible, because to defeat logic also requires the use of another logic."

The meaning of the logic question set by the organizing committee is very clear. In order to achieve results in the IMO arena, logic ability is a must, and IQ is the threshold condition.

Every time Shen Qi upgrades the mathematics level, the system will prompt: "Congratulations to the host's mathematics promotion to a certain level, the host's observation, memory, imagination, judgment, derivation ability, logical thinking ability and other indicators in the field of mathematics are higher than the previous level. obvious improvement."

Shen Qi has upgraded his math level to the professional level of level 5. If he only reserves the mathematics knowledge of junior high school, he can also have a certain degree of confidence in solving this threshold logic problem.

However, the 5th grade mathematics level + junior high school mathematics knowledge cannot solve the integral or differential equation, which involves the knowledge reserve of college algebra.

Shen Qi's understanding of this system is that the system assists him to continuously improve his intelligence limit, but the filling of the knowledge base needs to be accumulated by himself in daily life, through reading books, listening to lectures, etc.It is mutually reinforcing and difficult to understand intellectually without looking at those esoteric mathematical theories.

Back to the threshold logic question of the first question. (Yesterday, I missed a few words in the title of Chapter 46, and the conditions were not written in full. It was updated later. Those who are patient can go back and have a look.)
The three conditions Shen Qi deduced based on the short story on the title are:

1. The numbers of Tom, Jerry and Thomas are all greater than 0;

2. The three numbers are not equal to each other;

3. Any number is not twice as large as any other number.

The supporting clue for deriving these three conditions is that three people can see the numbers of the other two, but cannot see their own numbers; in the first round of questions and answers, all three of them cannot give answers; in the second round of questions and answers , Tom and Jerry were still unable to deduce their respective numbers, but Thomas, who was the last to answer, gave the correct answer. The number posted on his forehead was 144.

Shen Qi assumed that he was Thomas, and I got the answer of 144 in the second round of questions and answers, so one of the above three conditions must be excluded.

If 144 is the difference between the numbers of Tom (x) and Jerry (y), make an equation, xy=144.

At this time, both x and y are not 0, and x is not equal to y, that is, conditions 1 and 2 are satisfied.

Then to negate the third condition, we need to formulate another equation, that is, x+y=3y, and the solution is x=y.This condition is not established, otherwise the correct answer can be obtained in the first round, so Thomas's 2 is not the difference of the two numbers, but the sum of the two numbers.

That is, x+y=144.

Similarly, if both conditions 1 and 2 are established at this time, if condition 3 is not established, then xy=2y.

Simultaneously combine two linear equations to obtain a system of equations:

x + y = 144
xy=2y
Shen Qi can calculate the result by mental arithmetic, x=108, y=36.

Pushing back, Shen Qi replayed the story scene in his mind:
Tom has a 108 on his head, Jerry has a 36 on his head, and Thomas has a 144 on his head.In the first round of questions and answers, all three were unable to guess their own numbers.In the second round of questions and answers, Thomas, who was the last to answer, gave 144 answers...

"That's right, that's the logic." Shen Qi wrote 108 and 36 on the test paper.

The threshold has been entered, and 7 points are in hand.

Then it's time to show off.

The second problem is a plane analytic geometry problem.

The crossed x-axis and y-axis are old friends of all students, you will or will not, they have been there all along, witnessing the changing times and turbulent winds.

Passers-by in the coordinate system come and go, and mathematicians throughout the ages have spent their entire lives, leaving their great names in this horizontal and vertical world.

What caught Shen Qi's eyes were two ∞-shaped curves, one big and one small, the big one covering the small one. It had a special name, the Cassini Oval Line.

Don't think it's useless, if you think so, it will definitely not get a 7.

Shen Qi must find the constant between the two eggs. It can't be too long or too short. Too big can cause problems, and too small can't solve the problem.

Analytic geometry is a combination of geometry and algebra, and the calculation of constants must rely on geometric methods, and vice versa.

Shen Qi made an attack on the Cassini oval line with a double button line, but he obviously underestimated the almost rogue defensive posture of the Cassini oval line.

The Cassini oval line is ever-changing, showing different gestures in the hands of different questioners.

Shen Qi paused the offensive, the weapon he used was the nunchaku - the double button curve, which could not kill the monster Cassini oval line in front of him.

Not to mention that you can't kill it, the oval line won't bleed at all.

The Cassini oval line that changes like 72 must have a real body. Only by finding the real body of this monster and killing him can we go to the west to obtain the scriptures.

One move doesn't work, another move.

Shen Qi directly threw out the combination magic weapon to see the family, the strongest CP of catenary + cycloid.

For Shen Qi at this stage, the second-level suspension weapon is the top magic weapon he can make, and he won't easily use this kind of big killing move in seconds, because it's too expensive. The mana is gone, and the brain can't stand it with too much use.

No way, this is the IMO arena, Shen Qi can't control that much.

The catenary + cyclone combination magic weapon enchanted by Shen Qi has powerful physical attacks and irreversible magical attacks. Under such a mixed attack, the Cassini oval line finally revealed its flaws, it revealed The real body is just a mechanical curve.

"You little fox spirit, you think that you will become a powerful bull demon when you wear a piece of cowhide? Haha, it's too naive. Goblin, eat my old Shen!"

After Shen Qi pulled the last segment of the trajectory, he gave the constant b^2 of the fixed point and spacing of the Cassini oval line.

"Huh, it's so brain-burning, so tired."

Two and a half hours later, Shen Qi's lips were dry and thirsty.

"Rest, rest for a while."

Shen Qi took a sip of mineral water to moisten his lips, he didn't dare to drink too much water for fear of peeing.

In this classroom, [-] contestants were arranged to compete in the same field. Shen Qi's seat was in the last row. He observed the conditions of the other contestants. Most of them were in a daze and had no love for life.

A small national flag is placed on each contestant's examination table, the national flag of their respective country.

Shen Qi found that there were very few players who were not in a daze. They were American players, Russian players, and Kazakhstan players.

"Why is this American?" Shen Qi noticed that the American player in the front left of him had darker skin, curly black hair, and very obvious South Asian features, most likely Indian.

"The deputy team leader is right, the United States is poaching talents everywhere and using it for doctrine." Shen Qi knew that the US Olympic math team was a strong team and a strong competitor to the Chinese Olympic math team. The Indians are quite good at math and deserve attention.

Let's look at the two handsome Russian players and Kazakhstan players. They are both white. Among them, the Russian younger brother is more characteristic. He is probably a left-handed, and he quickly answers the scroll with a pen in his left hand.

Left-handers are generally smarter and worthy of attention.If Russia and Kazakhstan are not separated, their Olympic math team in the former Soviet Union or the CIS may be the best in the world, and the Chinese Olympic math team is a challenger rather than a defender in front of them.

Shen Qi felt the pressure, masters are masters!
He wants to win the team championship, but also wants to win the IMO individual championship.

The overall strength of the Chinese Olympic math team is very strong, but it may not be able to solo the Russian brother, as well as the Indians or other people naturalized to the United States. It seems that there are Chinese people in the US Olympic math team this year.

Shen Qi did not dare to relax, and immediately entered the answer to the third question after a short rest.

……

……

True - this chapter says:
Some students said that they did not understand the relevant mathematical theories in this book.

I am writing a novel, and most of the quotations in the text are the most refined parts of various mathematical theories. If they are elaborated in the text, it will inevitably affect the reading fluency.

My original intention of writing this book is to describe some basic subjects in an interesting and not boring way, and I never want to write this as an academic paper.I want to write how to calculate the diameter of a circle, which side is equal to which sin is greater than which side, etc. I believe you are not very willing to read it.

The author's level is limited, omissions are inevitable in the writing process, and there may be biases in the elaboration of some theories. Students are welcome to criticize and correct, and give more valuable opinions.

If some theory is cited, I try to list the theoretical source at the end of the chapter.Interested students can refer to it by themselves.

References to the title of this chapter are:

"IQ Test Question Bank"

"High School Mathematics Compulsory Textbook"

University textbook "Analytical Geometry"

(End of this chapter)