Reborn Tech Scholar

Chapter 9 Provincial League Exam
Because he wanted to participate in the provincial league, Qin Yuanqing's time suddenly became tight.

Just after taking the mid-term exam, I immediately gathered with the others, and then took the bus to Rongcheng under the leadership of the math team leader.

From Gimpo County to Rongcheng, it takes 4 hours.

Qin Yuanqing directly took out the exam questions of the high school mathematics league in previous years and continued to study it with relish. Compared with the college entrance examination questions, the exam questions of the high school mathematics league are more in-depth and broader, and even involve advanced mathematics.

Of the fifteen people who went to participate, the one with the best results won the first prize, but he was not selected for the provincial team and participated in the National High School Mathematics League.This time, like Qin Yuanqing and others, it is the last time he participates. Once he is not selected for the provincial team, he will not be able to participate in the national competition, let alone be selected for the national team and compete internationally.

After a 4-hour long journey, the bus arrived at Rongcheng Experimental Middle School, which is the venue for this year's high school mathematics league in the province. Participants from various cities and counties will compete here and win the first prize even if they can't get the key points. Qualifications for college admissions can also be added to the college entrance examination.

According to the previous practice, 40% of the contestants can get the second prize, 10% of the contestants can win the first prize, and even less than 0.5% of the contestants enter the provincial team.

The leader of the mathematics team of Jinpu No. [-] Middle School explained a few words to everyone, and asked everyone to go to the examination room, so as not to find the examination room in the exam tomorrow morning, and panic and panic.

And they will stay at a nearby hotel at night, not a star-rated hotel.

After watching the examination room, Qin Yuanqing returned to the school gate. The others had not returned. It took about half an hour for everyone to arrive. Zhang Jiaji, the leader of the math group, asked everyone to check their ID cards, signature pens, 2B pencils, rulers, triangle boards, Compasses and admission ticket. After all, if you find a problem now, there is still time to remedy it. If it is discovered tomorrow, there will be no time to remedy it.

Checking into the hotel, two people share a room, Qin Yuanqing did not chat with another classmate, but studied the topic. His time is very precious, and every minute and second cannot be lost.

Indistinctly, Qin Yuanqing realized something. It seems that many league topics are beyond the outline, but in fact they are not. It is just an extension to increase the difficulty.

Suddenly, Qin Yuanqing looked happy, because he found that his attributes had changed:
Host: Qin Yuanqing
Age: 18 years old

IQ: 145
Emotional Intelligence: 100
Department:

Language: Level 4 (20/100000)

Mathematics: Level 5 (0/1000000)

English: Level 3 (100/10000)

Physics: Level 4 (20/100000)

Chemistry: Level 4 (20/100000)

Creature: Level 4 (20/100000)

Physical fitness: Level 1 (0/100)

He didn't expect that his mathematical ability would reach level 5 at this time. Level 5 would not change his grades in the high school exam, but he could increase his points in a high school league game. .

Sure enough, as the math level reached level 5, Qin Yuanqing discovered that it became much easier for him to understand the questions of these math leagues, as if he had a feeling of opening up the meridians.

Qin Yuanqing, taking advantage of some time in the evening, turned over the questions one by one, until at 12 o'clock, Zhang Jiaji came to the room and reminded them that it was time to go to bed. Qin Yuanqing reluctantly put away the books and washed them. After taking a shower, I fell asleep.

After strict inspection procedures, except for the contestants' ID cards, admission tickets and basic test tools, other mobile phones and all electronic devices are not allowed to be brought into the arena.

Qin Yuanqing came to his own examination room and sat down in his own seat. The specifications for participating in the competition were based on the college entrance examination, which was even stricter than the college entrance examination, because there were only twenty candidates in a room, four rows of desks, one row and five rows. The distance between each row is large, which can ensure that no one can see the people answering the questions in front, back, left and right, and one room is equipped with two invigilators who constantly walk back and forth in the room.

Qin Yuanqing sat down and placed the signature pen, 2B pencil, ruler, compass, eraser, and triangular board on the table. The admission ticket and ID card were placed in the upper right corner of the table, waiting for the book to be issued.

After the announcement of the examination room discipline, the examination time, and the notices for candidates, the invigilator took out the examination paper, indicating that the examination paper had not been opened before, and was merged into the two students in the front row for verification and signature before taking out the examination paper, a copy A copy of the test paper and draft paper will be issued, and then remind everyone to fill in the name, ID card, admission ticket and test paper code first, do not rush to answer the question, and wait until the broadcast notification before answering the question, otherwise it will be regarded as cheating.

After Qin Yuanqing filled out the name, admission ticket, ID card, school name, and test paper code on the test paper, seeing that there were still 10 minutes before the test, he didn't remember to answer the question. According to his own habits, he checked the test paper first, looked at the test questions, The types of test questions and the knowledge of test sites have a general understanding in my heart.

At 9 o'clock, the test starts on time.

Qin Yuanqing began to do the questions. The first major question was still the same as the college entrance examination questions, which were multiple-choice questions. Qin Yuanqing could not calculate it in his mind. He kept calculating on the scratch paper, and then filled in the answers. After the multiple-choice questions were answered, Qin Yuanqing answered Use a 2B pencil to paint on the answer sheet. After checking that it is correct, you can start the second question. The second question is a fill-in-the-blank question. This kind of question seems simple, but it is actually a lot more difficult than multiple-choice questions. Sometimes Not one answer, but two answers, half of the points will be deducted if you write one less answer.

And no one knows whether the answer they filled in is correct or not. In this case, there is no time to do it a second time.

In terms of type, there are 6 multiple-choice questions, each with 6 points for a total of 36 points.There are 6 fill-in-the-blank questions, each with 6 points for a total of 36 points.The third type is to answer proof questions, with a total of 4 questions, each with 20 points for a total of 80 points, with a full score of 152 points.

Answer questions The first question is question 1, which is related to the knowledge of the intersection of the parabola and the straight line. The title is: Knowing the parabola C: y=ax13 (a>2), the straight line y=a+0 intersects the parabola at points A and B , M is the midpoint of the line segment AB, and the vertical line passing through M as the x-axis intersects the parabola C at point N. (2) Prove that the tangent of parabola C at point N is parallel to AB. (1) Whether there is a real number a so that if it exists, find the value of a; if it does not exist, please explain the reason.

Qin Yuanqing listed the parabola and the straight line as a system of equations on the test paper. Since it is the intersection point, it means that y is equal, and we get ax2-x-2=0, and then set A (x1, y1), B (x2, y2), to find this value, which is converted into a new equation, with the slope k of the tangent of the parabola C at point N, to prove the parallel conclusion.

The small point (2) is like this kind of problem. It is assumed that there is a real number a to make the equation true, and then the value of a is calculated through known conditions. If the value of a can be calculated, it exists, and there is no solution. It does not exist.

"Hey, isn't this test paper difficult?" After Qin Yuanqing answered question 14, he couldn't help but mutter, "Could it be that I made a fake test paper?"

Although I am puzzled, it seems that this test paper is not difficult. It is much simpler than the questions of the National High School Mathematics League. Although there is a lot of calculation, there is no difficulty that breaks the sky.

Problem 15 is to find the smallest positive real number k such that the inequality ab+bc+ca+k (1/a+1/b+1/c) ≥ 9 holds true for all positive real numbers a, b, and c.

Qin Yuanqing suddenly thought of 1, and when a=b=c=1, k≥2.Then k=2 is brought into the original equation to form a new equation to prove that the inequality holds.

Qin Yuanqing continued to do the 16th question, which is the last question. This is a proof question, which combines sufficient and necessary conditions and inequalities, and is the most difficult.

Qin Yuanqing frowned slightly and split it step by step. He wrote a lot of proof steps, and just after writing the proof conclusion, the bell rang.The invigilator announced the end of the exam, and each one stood up, and then the invigilator put away the papers one by one.

As soon as the exam was over, and as soon as they walked out of the exam room, some students were complaining, why is it so difficult, and it doesn't make people live.

Qin Yuanqing was relieved. He found that the provincial league was not as difficult as he imagined, and it was only slightly more difficult than the real math questions in the college entrance examination.

So Qin Yuanqing seemed very relaxed, eating what he should eat, drinking what he should drink, and was laughed at by the math team leader for being heartless and heartless.

. . . . . .

As soon as the provincial competition in the morning was over, the judges of the Provincial Mathematical Society began to review the examination papers in the afternoon.This time, more than 1200 high school students in the whole province signed up for the competition. They need to correct the test papers and count the scores as soon as possible.Although the multiple-choice questions are graded through a computer program, the workload is also very large.

In addition, two graduate students are responsible for statistics, and the data is entered into excel to facilitate the final statistics and ranking.

"Lin Feng, Ludao Shuangshi Middle School, 110 points."

"Zhou Hu, Shuitou No. 89 Middle School, [-] points."

"Wang Lin, Provincial Experimental Middle School, 118 points."

"Li Peirong, Narcissus No. 105 Middle School, [-] points"

"Tang Liang, Jianyang No. 8 Middle School, 8 points... Wow, only 8 points, you can get more than [-] points with your eyes closed."

"Look, there's another one here that gets 4 points, and 1 point for each solution."

The two graduate students were both from the Department of Mathematics. They had countless joys participating in the statistics. Sometimes they laughed until their stomachs hurt. Some of them got a score of 2, but it was not the lowest. The lowest was 1. And there are a lot of 0 points.

The two were also speechless, so lazy that they didn't even bother to write a solution.Or the characters are too scribbled, and a solution is like drawing a ghost character.

"Wow, this person is amazing, Ludao Shuangshi Middle School has scored 140 points, the highest score so far!"

"No, look, this is amazing, Qin Yuanqing, Jinpu No. 152 Middle School, [-] points! The first full-mark test paper came from No. [-] Middle School of Jinpu County, Narcissus City!"

Both of them looked surprised.

Gimpo No. [-] Middle School is the best school in Gimpo County, and it is a key high school in Narcissus City.But in the whole province, it seems a little insignificant, and it has no reputation at all. After all, it is not a provincial key middle school. Everyone only knows those provincial key middle schools. Who knows a middle school in an ordinary county.

(End of this chapter)