I Just Want to Be a Quiet Top Student

　　 It is generally believed that IQ includes observation, memory, imagination, judgment, derivation, logical thinking and other indicators.

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

　　 Westerners value the ability of logical thinking. The old saying circulating in Western academic circles is: "Logic is invincible, because defeating logic also requires the use of another kind of logic."

　　 The meaning of this logic question set by the organizing committee is very clear. To achieve results in the IMO competition, logic ability is a must, and IQ is the threshold condition.

Every time Shen Qi upgrades his mathematics level, the system will prompt: "Congratulations to the host for upgrading to a certain level. The host’s observation ability, memory, imagination, judgment, deduction ability, logical thinking ability and other indicators in the field of mathematics are higher than the upper level. obvious improvement."

　　 Shen Qi has upgraded his mathematics level to a level 5 professional level. If he only reserves his junior high school mathematics knowledge, he will be certain to solve this threshold logic problem.

　　 But the 5th level of mathematics + junior high school mathematics knowledge can not solve integral or differential equations, which involves the knowledge reserve of university algebra.

　　 Shen Qi's understanding of this system is that the system assists him to continuously increase the upper limit of intelligence, but the filling of the knowledge base needs to be accumulated by himself in daily life, through reading books, listening to classes, etc. These are complementary, and it is difficult to understand the profound mathematical theories without looking at them intellectually.

　　 Go back to the threshold logic problem of the first question. (Yesterday, I missed a few words in the title of Chapter 46, but the conditions were not fully written. I updated it later. Those who are patient can go back and have a look)

　　 The three conditions that Shen Qi deduced from the topic story are:

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

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

　　 3. Any number is not twice the other number.

The supporting clue for deriving these three conditions is that three people can see the figures of the other two but cannot see their own figures; in the first round of question and answer, none of the three can give answers; in the second round of question and answer , Tom and Jerry were still unable to derive 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 assumes that he is Thomas, and I got the answer of 144 in the second round of Q&A, so one of the above three conditions must be excluded.

　　 If 144 is the difference between Tom (x) and Jerry (y), an equation can be listed, that is, 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 if you want 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 will be obtained in the first round, so Thomas' 144 is not the difference between two numbers, but the sum of two numbers.

　　 is x+y=144.

　　 The same is true. At this time, both conditions 1 and 2 are established. If condition 3 is not established, 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 arithmetic, x=108, y=36.

　　 Pushing back, Shen Qi reversed the story scene in his mind:

　　 108 is posted on Tom's head, 36 is posted on Jerry's head, and 144 is posted on Thomas' head. In the first round of question and answer, none of the three were able to guess their own numbers. In the second round of question and answer, Thomas, the last to answer, gave an answer of 144...

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

　　 The threshold has been entered, 7 points to get it.

　　 Then it's time to show off his magical powers.

　　 The second question is a plane analytical geometry question.

　　 The x-axis and y-axis intersected by the cross are old friends of all the students. Will you or will you not, they have been there forever, witnessing the changes of the times and the ups and downs of the times.

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

　　 What caught Shen Qi's eyes were two ∞-shaped curves, one large and one small, and the larger enclosing the small. It has a special name, Cassini Oval.

　　 Don’t think it’s useless. If you think so, you won’t get 7 points.

　　 Shen Qi must find the constant between the two eggs. It cannot be too long or too short. It is too big to cause problems, and it is too small to get the point.

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

　　 Shen Qi made a double line to launch an offensive against the Cassini Oval, but he obviously underestimated the almost rogue defensive posture of the Cassini Oval.

　　 Cassini’s oval line is ever-changing, showing different poses in the hands of different question authors.

　　 Shen Qi suspends the offensive, his weapon nunchaku---the double curve, can't kill the oval line of the monster Cassini in front of him.

　　 Don't say you can't kill it, the oval thread won't shed blood at all.

　　 The Cassini Oval Line, which changes in seventy-two ways, will inevitably have a real body. Find the real body of this monster and kill him before going to the west to get the truth.

　　 One trick doesn't work, just change it.

　　 Shen Qi directly threw out the combination magical weapon that looked after the family, the strongest cp of catenary + revolver.

For Shen Qi at the current stage, the two suspended spinning tools are the top magic weapon he can make. When he is less than a last resort, he will not easily use this kind of big killer with air every second, because it is too consuming. Mana value, too much brain can't stand it.

　　 No way, this is the IMO stadium, and Shen Qi can't manage that much.

The catenary + revolver combination magical device enchanted by Shen Qi has powerful physical attacks and irreducible spell attacks. Under such mixed attacks, the Cassini Oval Line finally reveals its flaws, and it reveals itself. The real body is nothing more than a mechanical curve.

　　 "You grinning little vixen, thought you would become a magical bull demon king with a piece of hide? Ha ha, too naive. Fairy, eat my old Shen a stick!"

　　 Shen Qila finished the last section of the trajectory and 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 passed, and Shen Qi's lips, who had broken two consecutive questions, were dry and thirsty.

　　 "Take a break, take a break."

　　 Shen Qi drank a small sip of mineral water to moisturize his lips. He dared not drink too much water for fear of peeing.

　　 This classroom arranged twenty contestants to compete in the same field. Shen Qi's seat was in the last row. He observed the conditions of other contestants. Most of them were in a daze and had nothing to love.

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

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

　　 "Is this American in particular?" Shen Qi noticed that the American player on his left front had darker skin, curly black hair, very obvious South Asian characteristics, most likely of Indian origin.

　　 "The deputy team leader is right. The United States is digging for talents everywhere." Shen Qi knows that the U.S. Olympiad is a strong team and a strong competitor to the Chinese Olympiad. The Indians are quite good at math and deserve attention.

　　 Look at the two handsome Russian players and Kazakhstan players. They are both white. Among them, the Russian brother is more distinctive. He is probably a left-handed. UU reading www.uukanshu.com with his left hand took a pen and quickly answered the scroll.

　　 Left-handers are generally smarter and deserve attention. If Russia and Kazakhstan do not separate their families, their former Soviet Union or the CIS Olympic Mathematical Team may be number one in the world, and the Chinese Olympic Mathematical 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 the IMO individual championship.

　　 The overall strength of the Chinese Olympic Mathematical Team is very strong, but it’s not necessarily soloing by the Russian brothers, Indians who are naturalized into the United States, or other descents. There seems to be Chinese in the US Olympic Mathematical Team this year.

　　 Shen Qi did not dare to relax, and immediately went to the third question after a short break.

　　...

　　...

　　真-This chapter says:

　　 Some students said that they could not understand the relevant mathematical theories in this book.

　　 I am writing a novel. Most of the quotations in the main text are the most refined parts of various mathematical theories. If you elaborate in the main text, it will inevitably affect the fluency of reading.

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

　　 The level of the author is limited, and it is inevitable that there will be omissions in the writing process. There may be biases in the explanation of some theories. We welcome all students to criticize and correct, and provide more valuable opinions.

　　 If you quote some theories, I try to list the source of the theory at the end of the chapter. Interested students can check it by themselves.

　　The references involved in the title of this chapter are:

　　 "IQ Test Question Bank"

　　 "High School Mathematics Compulsory Textbook"

　　 University textbook "Analytic Geometry"