I Just Want to Be a Quiet Top Student

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 IQ test questions are related to mathematics, and mathematics includes the above-mentioned indicators.

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

The meaning of the organizing committee setting up this logic question is very clear. If you want to achieve results in the IMO arena, logic ability is necessary, and IQ is the threshold condition.

Every time Shen Qi upgrades his mathematics level, the system will prompt: "Congratulations to the host for being promoted to a certain level in mathematics. The host's observation, memory, imagination, judgment, deduction ability, logical thinking ability and other indicators in the field of mathematics are higher than those of the previous level. Significantly improved."

Shen Qi has already upgraded his mathematics level to a professional level of level 5. If he only has the mathematics knowledge of junior high school, he can be sure of solving this threshold logic problem.

However, the mathematics level of level 5 + junior high school mathematics knowledge cannot solve integral or differential equations, 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 his daily life, through reading books, listening to lectures, etc. This is complementary, and intellectually it is difficult to understand without looking at those esoteric mathematical theories.

Back to the threshold logic question of the first question. (I missed a few words in the topic of Chapter 46 yesterday, and the conditions were not written in full, and it was updated later. Students who are patient can go back and have a look)

The three conditions that Shen Qi derived from the short story on the title are:

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

2. These three numbers are different in pairs;

3. Any number is not twice the other number.

The supporting clue to deduce these three conditions is that three people can see the numbers of the other two, but they cannot see their own numbers; in the first round of question and answer, none of the three can give an answer; , Tom and Jerry still couldn't deduce their respective numbers, but Thomas, who answered last, gave the correct answer, and the number on his forehead was 144.

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

If 144 is the difference between the numbers of Tom (x) and Jerry (y), an equation can be written that says x-y=144.

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

Then to negate the third condition, you need to formulate another equation, that is, x+y=2y, and the solution is x=y. This condition is not true, otherwise the correct answer can be obtained in the first round, so Thomas' 144 is not the difference between two numbers, but the sum of two numbers.

That is, x+y=144.

In the same way, at this time, it is assumed that both conditions 1 and 2 are true, and if condition 3 is not true, then x-y=2y.

Combine two linear equations to get a system of equations:

x+y=144

x-y=2y

Shen Qi can calculate the result by mental calculation, x=108, y=36.

Pushing back backwards, Shen Qi replayed the scene of the story in his mind:

Tom has 108 on his head, Jerry has 36 on his head, and Thomas has 144 on his head. In the first round of question and answer, none of the three could guess their own numbers. In the second round of questions and answers, Thomas, who was the last to answer, gave an answer of 144...

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

The threshold has been reached, 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 the old friends of all students, whether you will or not, they have been standing there, witnessing the changes of the times and the turmoil.

Passers-by in the coordinate system come and go, and mathematicians throughout the ages have spent their 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 enclosing the small one. It has a special name, Cassini Oval Line.

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

Shen Qi had to find the constant between the two eggs. It should not be too long, nor too short. If it is too large, it will cause problems, and if it is too small, it will not be able to solve the problem.

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

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

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

Shen Qi postponed the attack, and the nunchaku he unleashed - the double button curve, couldn't kill the monster Cassini oval in front of him.

Don't say it can't be killed, the oval line doesn't lose blood at all.

The Cassini egg-shaped line with seventy-two changes must have a real body. Only by finding the real body of this monster and killing him can he go to the west to obtain the scriptures.

If one trick doesn’t work, try another trick.

Shen Qi directly tossed out the housekeeping magic weapon, the strongest CP of catenary + cycloid.

For Shen Qi at the present stage, the Second Suspension Weapon is the top-level magic weapon he can refine. Unless it is absolutely necessary, he will not easily use this kind of big killer move, because it is too exhausting. The mana is gone, and the brain can't stand it if it is used too much.

There is no way, this is an IMO arena, Shen Qi can't control that much.

The catenary + cycloid combination magic weapon possessed by Shen Qi has powerful physical attacks and irreversible magic attacks. Under such mixed attacks, the Cassini oval finally showed its flaws. The real body is just a mechanical curve.

"You annoying little vixen, you think you can turn into a supernatural bull demon king by wearing a piece of cowhide? Hehe, you are so naive. Goblin, give me a big stick!"

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

"Phew, it's so brain-burning and tiring."

Two and a half hours passed, and Shen Qi, who had broken two questions in a row, had dry lips and thirsty mouth.

"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 urinating.

Twenty contestants were arranged to compete in the same exam in this classroom. 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 nothing to love.

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

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

"Is this an American?" Shen Qi noticed that the American player in front of him on the left had darker skin, curly black hair, very obvious South Asian features, and was very likely to be of Indian descent.

"The deputy team leader is right. The United States is looking for talent everywhere and using it for doctrine." Shen Qi knew that the US Math Olympiad team was a strong team and a strong competitor of the Chinese Olympiad team. The Indians were pretty good at mathematics and deserved attention.

Let’s look at the two handsome Russian and Kazakh contestants. They are both white. Among them, the Russian guy has more characteristics. He is probably left-handed, and he quickly answered the questions on the paper with a pen in his left hand.

Lefties are generally smarter and deserve attention. If Russia and Kazakhstan are not separated, their former Soviet Union or the Commonwealth of Independent States' Olympiad team may be number one in the world, and the Chinese Olympiad team is a challenger rather than a defender in front of them.

Shen Qi felt the pressure, masters, all masters!

He wants to win the team championship, and even more wants to win the IMO individual championship.

The overall strength of the Chinese Mathematical Olympiad team is very strong, but it may not be able to solo the Russian brother, as well as the Indians or other Americans who have naturalized in the United States. There seems to be Chinese in the US Mathematical Olympiad team this year.

Shen Qi didn't dare to relax, and immediately entered the answer to the third question after a short rest.

...

...

True - the 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 fluency of reading.

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 sin and which side is compared to which side, etc. I believe you are not willing to read it.

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

If some theories are cited, I try to list the theoretical sources at the end of the chapter. Interested students can check it out by themselves.

The references covered by the title of this chapter are:

"IQ Test Question Bank"

"High School Mathematics Compulsory Textbook"

University Textbook "Analytic Geometry"