Chapter 105: Did he take the same paper as I did?
Qin Ke is still in his original seat. His exam room and seat are fixed every day, and then the next day and the third day he will make adjustments to the same exam room and different exam rooms.
The bell rang, and the mathematics test papers began to be distributed soon. Qin Ke scanned the question types. There were 15 multiple-choice questions, 15 fill-in-the-blank questions, 5 solution questions, and two comprehensive questions. The number of questions in this mathematics paper was
It's quite big too.
Looking at the questions again, my dear, it is really difficult. At least it is three points more difficult than the midterm exam paper given by Lao Zheng, which made the sophomore students of Yingyuan High School complain endlessly.
For example, the first multiple-choice question requires a lot of time to calculate.
"1. It is known that hyperbola C: x^2/3-y^2=1, O is the coordinate origin, F is the right focus of C, and the intersection points of the straight line passing F and the two asymptotes of C are M respectively.
,N. If △OMN is a right triangle, then |MN| is equal to "
"A.3/2 B.3 C.2*3^(1/2) D.4"
This question requires first finding the angle ∠MON of the asymptote equation, and then calculating |MN| based on the tangent formula of the trigonometric function. It can be regarded as a small problem to solve. Even the top students in mathematics will spend a lot of time.
It takes about three minutes to solve the problem to get the correct answer. It takes ordinary students four to five minutes to get it.
In this joint entrance examination, the science papers were indeed more difficult and perverted than the liberal arts papers.
Qin Ke secretly mourned for the other students, and then started to do the questions happily.
The more difficult the questions, the better he can score, and to be honest, he feels more comfortable doing questions that are a little difficult, but it is no fun for him to do questions that are too easy.
Let’s start doing the questions! Let’s go! go! go!
Qin Ke glanced at the clock on the blackboard and started writing.
Unfortunately, no matter how difficult the multiple-choice questions and fill-in-the-blank questions in high school are, in his eyes they are no different from elementary school math questions. He can see the solution almost at a glance, and he can directly get the answer through mental arithmetic, which is three and a half minutes.
Within a few minutes, he had completed all the multiple-choice questions and fill-in-the-blank questions, and began to answer questions...
Qin Ke did it relaxedly and happily, with a smile on his face, but the students around him were all frowning and cursing in their hearts. What the hell is this question? The college entrance examination may not be so difficult, right?
Many students were sweating all over their foreheads when they answered the first question. You must know that it was snowing and cold weather.
But no matter how much they complain, the math test paper is still in front of them, and it will never abandon, increase or decrease, let alone reduce the difficulty, so they can only grit their teeth and rack their brains to solve the problems.
The bad students just stared at the paper, chose C for all the multiple-choice questions, and then lay down as if they gave up.
Outside the classroom there was the sound of whistling wind and snow, while inside the classroom there was the sound of rustling pens and paper, and the painful grunts of students holding their heads in pain and thinking hard.
The boy next to Qin Ke is a student from Nanwu High School, his name is Yi Xingyuan. His math scores are pretty good, and he is firmly in the top five in the key classes. However, this paper was too difficult, and he failed on the first question.
His brows were furrowed.
You still have to draw a picture and add auxiliary lines to calculate the length of |ON|, and then use trigonometric functions...
Phew, done. It took him more than three minutes to finish this question, and then he looked at the second question.
"2. The angle between vectors OM and ON is known to be θ, |OM|=1, |ON|=2, OP=(1-t)*OM, OQ=t*ON, (0≤t≤1)
, PQ obtains the minimum value when t=t0. If 0 is less than t0 and less than 1/5, the value range of the angle θ is "
"A.(1π/4,3π/4) B.(1π/3,2π/3) C.(1π/4,2π/3) D.(1π/2,2π/3)"
yield
"Minimum value", by finding the value range of cosθ, you can calculate the value range of the included angle θ, but it is more troublesome to do, and it is estimated that it will take three minutes to calculate.
The third question is more troublesome.
"3. Let the derivative function of function y=f(x) on (a,b) be f'(x), and the derivative function of f'(x) on (a,b) be f"(x),
On (a, b), if f"(x) is less than 0, it is always true, then the function f(x) is called a 'convex function' on (a, b). It is known that m is less than or equal to 2, if f(x
)=1/6*x^3-1/2*mx^2 x is a 'convex function' on (-1,2), then f(x) is on (-1,2)"
"A. There are both maximum values and minimum values. B. There are both maximum values and minimum values. C. There are maximum values and no minimum values. D. There are no maximum values and no minimum values."
Is there any mistake? This is just a multiple-choice question! It’s not an answer question!
You must know that in usual mathematics exams, the first three questions are often the easiest and simplest multiple-choice questions! Now the first three questions in this paper are so troublesome to solve, not to mention that there are 12 more difficult multiple-choice questions in the back!
Yi Xingyuan began to sweat on his forehead. Damn it. If he continued with his current problem-solving speed, he estimated that he would be able to complete all the multiple-choice questions and fill-in-the-blank questions plus one or two answer questions by the end of the exam.
Damn it, my math score this time is probably the worst in my history!
Yi Xingyuan's eyes glanced inadvertently, and he suddenly found a student from Yingyuan High School on the right writing furiously on the ground.
He originally thought that this guy was doing calculations on a draft, but when he took a closer look, it seemed that he was writing it directly on the answer sheet!
Moreover, the answer sheet seems to be full of answers. This guy is solving the questions later!
No...it can't be right? What kind of magical speed is this?
Are the papers he did and the papers he did on the same paper?
This chapter is not over yet, please click on the next page to continue reading! Yi Xingyuan was stretching his neck to make sure.
"This student, please don't look around. If you show up again, you will be treated as cheating!" The invigilator's stern voice came over immediately.
Yi Xingyuan shivered and quickly looked away, but from the corner of his eye, he could vaguely see the guy with messy hair who never stopped writing...
Yi Xingyuan couldn't help but flip through the paper and looked at the answer questions at the back. The first question was about the proof of an ellipse. The question was only two lines long, but when he looked at it, he didn't think of any clues to the proof.
The guy next to me couldn't have taken another paper, right? Logically speaking, if you can rank in the top five in the class in mathematics, you won't be turned into such a scumbag in an instant, right?
Yi Xingyuan tried hard to concentrate on the questions, but the "rustling" sound coming from the side always disturbed his heart. Yi Xingyuan couldn't hold it in any longer, so he raised his hand and asked: "Teacher!"
Zhu Mingzhao stood on the podium with his hands behind his back, scanning all the students with a stern look on his face, while the other two young invigilators kept walking and patrolled the examination room to eliminate all possible cheating.
This is also a rule in the joint examination every year. Every examination room is equipped with cameras. Once a student's cheating behavior is discovered by the monitoring team behind the camera, but the on-site invigilator fails to discover it, the invigilator will be severely punished.
The purpose of these regulations and measures is naturally to create an atmosphere as similar as possible to the college entrance examination.
At this time, seeing the Nanwu High School student he had reminded him once raise his hand again, Zhu Minzhao frowned slightly, walked over and asked, "What's the matter?"
Yi Xingyuan pointed at Qin Ke and asked in a low voice: "Did the classmate next to me take the same paper as us?"
"Of course it's the same paper. Don't ask such irrelevant questions again. Just concentrate on doing the questions! If you raise your hands randomly and affect others' answering questions, you will be deemed to have violated discipline!"
Yi Xingyuan did not dare to say anything anymore, but the shock in his heart could not be expressed in words.
That guy made the same paper as me? Is my level so bad???
Zhu Mingzhao looked at Yi Xingyuan with his head in his hands and his eyes blank, and seemed to have been hit hard.
What's going on? What's weird about the Sakurazono student next to me?
Zhu Mingzhao couldn't help but glance at Qin Ke curiously, and his eyes widened at the first glance.
This student is actually already doing the second solution question?
All the previous choices and filling in the blanks have been completed!
Chapter completed!