I Just Want to Be a Quiet Top Student

Shen Qi not only memorized the important points, but also repeatedly recited the name of the military theory teacher——Wei Junqiang.

It was also very easy, Shen Qi completed the military theory exam.

There will be a rest period of one week. After one week, the students of the School of Mathematics will take a basic mathematics course, Analytical Geometry.

Among the three-piece set for the introductory mathematics department, the simplest one is solving a few.

There are 15 credits in Shufen, from Shufen I to Shufen III, for three semesters.

10 credits of high school, including high school first and high school second, two semesters.

Jie Ji has 5 credits, and there is only one volume. It takes one semester to study. The first-year students of Yanda School of Mathematics use Yan University's own Jie Ji textbooks.

Shen Qiyi summed it up, I finished 10 credits ahead of time in Gao Dai, and if I count the points, I will see if I can apply for an early exam within this semester. The operation method is similar to Gao Dai's 36 questions.

There is no need to repair in advance for Jieji, just follow the team and take the final exam of Jieji normally.

It's too easy to take the final exam normally, so let's do it.

Within a week, the scores of college English and military theory were released one after another.

Shen Qi checked, 100!

100 again!

100 in both College English and Military Theory.

Zhou Yuan checked, 100!

82!

Zhou Yuan got a perfect score of 100 in English and 82 in military theory.

Roommates Luo Ji and Cai Qing only scored in the 80s on the English test, and they all scored above 90 in military theory.

"I really want to die, and my military theory is at the bottom of the dormitory." Zhou Yu'an is depressed. Mathematics courses can't compare with Shen Qi, public courses such as Ma Zhe and military theory can't pass Shen Qi, and they are even inferior to the other two. roommate.

"But Zhou Yu'an, your English is very good, full marks." Cai Qing said enviously, "My English foundation is too poor. The high school in our small place pays attention to mathematics, physics and chemistry, and the students there are generally not good at English."

Zhou Yu'an was a person who went to the UK to participate in the IMO, and his English was pretty good: "Cai Qing, your English is poor, and you got a score of 80 or so? Don't be too humble. Being too modest is equivalent to pretending to be a B. Don't imitate someone."

Someone was reading "English for Mathematics", and he said: "I never pretend to be B."

Then Zhou Yu'an, Cai Qing, and Luo Ji went to bed and didn't want to talk to Shen Qi.

Mid-December.

The freshmen of the School of Mathematics are facing the final exam of Analytic Geometry, and students from all five departments have to take this course.

Shen Qi took a look at the test paper, there were three answer questions, 30 points for the first question, 30 points for the second question, and 40 points for the third question.

There are no multiple-choice and fill-in-the-blank questions.

Answer any two of the three questions correctly to pass.

This kind of examination method is similar to a math competition, and brought back fond memories of Shen Qi.

The first question is quite difficult. There is a picture with a complex figure drawn in the coordinate system. At first glance, it looks like a spaceship. On closer inspection, it is an abstract version of the spaceship in Star Trek.

Question: What is the radius r of circle G?

That is, what is the radius of the exhaust port of the abstract version of the spaceship?

"Interesting, kind of interesting."

Shen Qi fell into deep thought.

Curve equations are a must test for Jiji, but I never expected that Professor Qu, an easy-to-talk and easy-to-talk Jiji teacher, would kill people without blood when he asked questions.

Shen Qi thought for three minutes and then took up his pen to answer.

The first thing to do is to take the equation of an algebraic curve as f(x,y)=0, which is a very basic operation.

Math students can always find a translation that cancels out the constant term of the polynomial f.

After eliminating the constant term, it is not difficult to obtain the tangent equation of the curve at the origin, and the origin is not a multipoint at this time.

If the curve has no linear term, there are several different cases.

If the origin is a double point, then the equation of the hyperbolic curve must be done at this time.

Shen Qi made the equation of the double button curve, and obtained y^2-x^2=0 from the quadratic term

But at this point in the solution, it is just avoiding the trap set by Professor Qu, not really escaping from birth.

Of course, Shen Qi will consider another situation, when the two tangents are imaginary, the coordinates of the conjugate point satisfy the equation of the curve, but this point is separated from the rest of the curve.

Whether Claro, Guademalves, or McLaughlin, they have all proved the inflection point problem directly or in interviews.

The real boss is Newton, algebra is just a tool for him, and Newton prefers geometry.

Shen Qi quoted Newton's flow number method, thus ignoring the imaginary branch.

Finally, Shen Qi calculated that the radius r of circle G was 2/3 or -6/5.

-

6/5 is of course to be rounded off, so the answer is 2/3.

"The five credits of Xieji are not easy to come by."

It took Shen Qi half an hour to do the first question, and the test time was 90 minutes.

The Department of Mathematics can be said to be the core of the entire School of Mathematics, and the overall strength of the students in the Department of Mathematics is the strongest.

But including Zhou Yuan, an IMO gold medalist, it is not easy for mathematics students to solve this test paper.

Shen Qi was not easy either. It took him 80 minutes to complete all three questions, 10 minutes to check, and 90 minutes was just right.

After the exam, the students in the Department of Mathematics complained: "You can't judge people by their appearances. I can't think of Professor Qu, who is gentle and elegant, to be such a person!"

"Professor Qu with a hidden knife in his smile!"

"Fat old grandson, skinny old Lu, Professor Qu is a smiling tiger!"

"High generation is difficult, counting is annoying, analytical geometry is a bomb!"

"Hang up, I will solve a few test papers, and I will do a question."

"Who said the solution is simple, I'm in a hurry with him!"

Seeing that the situation was not good, Shen Qi hurriedly called a meeting for all the students in the Department of Mathematics: "Everyone, tell me, what's the situation?"

"If you have anything to say, just fail!"

"Rebuild it!"

"Cry!"

Shen Qi asked Ouye: "What about you? Are you hanging up too?"

Ouye shook his head: "I can't hang up."

"She said she couldn't die." Shen Qi said to other students.

Other students: "She is different from us."

Shen Qi asked the three roommates in the same dormitory: "How about you?"

Zhou Yu'an showed a sad face: "I can only get about 90 points, and I almost missed the three questions of the last question."

Luo Ji: "My score is around 80, and I didn't answer two questions."

Cai Qing: "I have no problem with the last question, but I am not sure about the first question, either 70 points or full marks."

Shen Qi added: "There should be no problem with my three questions. My answer is 2/3, 1..."

Zhou Yu'an hugged her head: "It's useless, I have 90 points."

Luo Ji covered his face: "It's over, it's over, I only have 80 points."

Cai Qing was ecstatic: "My answers to the three questions are exactly the same as Shen Qi's, so I may get full marks in the exam! If the steps don't deduct points."

Shen Qi glanced at Ouye.

Ouye said: "My answer is the same as yours."

Shen Qi said to all the students: "Students, you see, basically everyone can get a score of 80 or more, so stop blaming Professor Qu and find problems from yourself."

The students went crazy: "It turns out that pretending to be B is contagious. Shen Qi, there are four of you in the dormitory, let's form a group to pretend to be B! And you, Ouye!"

Zhou Yu'an spread his hands and said: "Can this also be called pretending to be B? The real king of bullying never deliberately pretends to be B. Hey, where is the king of bullying? Why is Shen Qi missing?"