Chapter 69 The exam is over
The break passed quickly and the second exam began.
During the break just now, Zhao Xiancai's behavior attracted the attention of other students in the examination room. During the second examination, some candidates also paid attention to him from time to time.
"As shown in the figure, AB is a chord of circle w, P is a point inside arc AB, E and F are two points on line segment AB, satisfying AE=EF=FB.
Connect PE and PF and extend them, intersecting with circle w at C and D respectively.
Verify: EF*CD=AC*BD.
[Picture] (please put the picture on the answer sheet when disassembling)"
This is the first question of the second test, which is a geometry question.
"Proof: Connect AD, BC, CF, DE. Since AE=BF=FB, thus...
Therefore, from (3) and (4), AB·CD=3AC·BD, that is, EF·CD=AC·BD.”
After reading the question stem and the geometric figures given, Zhao Xiancai began to draw pictures on the answer sheet. After making a few auxiliary lines, he began to write the answers.
Zhao Xiancai's move immediately confused the students who were paying attention to him.
What happens when you start writing after reading the question?
Isn’t this a copy of the standard answer, so you don’t have to think about it?
However, Zhao Xiancai did not know about the shock of some candidates in this examination room.
After quickly writing the first general question, he started to read the second big question.
"Given positive integers u, v. The sequence {an} is defined as follows:..."
I have to say that the questions in this second test are indeed more difficult than those in the first test.
There were only four questions, but it took Zhao Xiancai an hour to finish them.
When he finished writing, he found that the exam would not end for an hour and a half.
In this case, after Zhao Xiancai checked the test papers of the second test, he repeated his old tricks and began to try to find the second solution to these four questions.
However, this time, it was not until the bell rang to end the final exam that Zhao Xiancai found the second solution to the three questions. There was one question that he couldn't figure out the second solution to.
When the exam ended, it was already past 12 noon.
"How about it?"
When leaving the campus of Luzhou No. 1 Middle School, Ji Xinglei and the others also found Zhao Xiancai. They walked outside the school and chatted about the exam.
"Ask him, isn't this asking for trouble?"
Before Zhao Xian could speak, Zhang Jingqiang on the side said.
"The exams are over, you have to know the results, right?"
"It's all written."
Just by saying these four words, Ji Xinglei and the others knew what Zhao Xiancai meant.
"What are the answers to the fill-in-the-blank questions? Do you remember them?"
Now that Zhao Xiancai has finished writing, Ji Xinglei and the others have defaulted to Zhao Xiancai's answer as the standard answer, and began to prepare to use Zhao Xiancai to estimate their final results in this league.
"At that time, I was immersed in doing the questions and didn't pay attention to these. But if you can tell me the general meaning of the question, I should remember the answer I wrote." Zhao Xiancai said.
"Is the first fill-in-the-blank question -5?"
"Um."
"The first question is so simple, but I still have to ask the second question, and the second question.
Is the second question of the fill-in-the-blank question equal to 2?
It’s the one that lets you find the product of the areas of two triangles.”
"Yes, it's 2."
…
In this way, several people began to compare answers.
"How did you do on the exam?"
When they left the school and saw Lin Guangqiang who had been waiting outside the school all morning, the first thing Teacher Lin asked them was about this exam.
"I finished the four major questions in the second test, the first two of which were 40 points. My results were the same as Zhao Xiancai's, so there shouldn't be any big problems.
For the next two big questions, I didn't touch the last one. I really had no clue about that question.
I've written about half of the third question. I also reviewed the problem-solving process with Zhao Xiancai. There shouldn't be any problems. I can get some points for the steps.
After giving it a try, the fill-in-the-blank questions from the first to the fifth questions seemed quite easy. After checking the answers with Zhao Xiancai, we felt the same.
Although I guessed the sixth question, the result was the same as Zhao Xiancai's.
I miscalculated the value range of x in the seventh question, and skipped the eighth question directly.
For the next three questions, I should have no problem with the first question, but I didn’t figure out the second and third questions in the end, but I wrote down a lot of steps. It just depends on how many steps I can get.”
After Lin Guangqiang asked, Zheng Wenyi was the first to speak.
Because after checking the answers with Zhao Xiancai, Zheng Wenyi probably got the highest score besides Zhao Xiancai.
After listening to Zheng Wenyi's words, the joy on Lin Guangqiang's face was simply beyond words.
The reason why he was so happy was because based on what Zheng Wenyi said, she would definitely be on the safe side.
If you are lucky, you can get a few more step points for answering the second and third questions in the first trial, and maybe you can even save one.
If you really make it to the first level of the province, even if you don't make the provincial team, you still have a chance to get points dropped from Shuimu University and Beijing University.
Even if you can't get the points reduction from Mizuki and Peking University, you can still get the points reduction from other C9 colleges or other "985" colleges.
Anyway, this province has many benefits, the biggest benefit is that it reduces the difficulty of taking the college entrance examination to enter a prestigious school.
Even if they are in the second grade of the province, some of the “211” colleges are recognized.
As for the provincial third grade in mathematics competition, many schools also recognize it, but these schools are almost all ordinary ones.
In any case, if you participate in the National High School Mathematics League and get the prize, unless your final score in the college entrance examination is really bad, you can at least guarantee an ordinary grade.
"Not bad, what about you?"
Lin Guangqiang said cheerfully and looked at Ji Xinglei and Zhang Jingqiang again.
As for Zhao Xiancai, Lin Guangqiang was not in a hurry to ask.
"In the second test paper, I wrote a complete question, and I wrote the beginning of one question. I don't know if I can get points.
If you give it a try, it will be worse than Zheng Wenyi." Ji Xinglei said.
"He and I are similar." Zhang Jingqiang also said.
"It's okay, it's okay, are you all hungry too?
Come on, let's go have lunch first, and then go back after lunch.
Let's have a good meal for lunch today. I've already ordered the dishes and you can eat them when you get there.
Let's chat while eating for a while. It doesn't matter if you didn't do well in the league this time. You can just focus on the college entrance examination later.
When we conducted competition tutoring before, we did not occupy other classes, and your other classes were not missed either.
You can also regard the experience of this competition as training."
Lin Guangqiang comforted Ji Xinglei and Zhang Jingqiang while taking them to the restaurant he had booked before.
This math competition was originally designed by the school to give students with good grades a try to see if they could get a guaranteed score.
After all, Chengxian No. 1 Middle School is not a famous competitive school, so it is impossible to spend too much energy on competitions. It mainly focuses on the college entrance examination.
"Where's Zhao Xiancai? You didn't hand in the paper in advance this time, did you?"
Chapter completed!