Go back to the year of the high school entrance examination
Chapter 74 Answers to Mathematical Puzzles
After the invigilator collected the test papers, there was a sound of sighing in the examination room.
Ji Shi put away his pencil case and listened to other people discussing in the examination room: "I was confused when I saw the classical Chinese question, and what should I write in the composition?"
"Survival concept... I almost wrote a jungle survival legend, it's just."
"Which ancient book did you choose the article in classical Chinese from?"
"Liu Xie's "The Literary Mind and the Carving of Dragons", I have read a bit before."
Ji Shi: "..."
He originally wanted to discuss this issue with Yao Meng, but now that he thinks about it, fortunately he didn't say anything, he has even read "Wen Xin Diao Long", and he is trembling like a rookie.
After Yao Meng finished collecting his things and the two left the examination room together, Ji Shi asked him, "Have you seen "Wen Xin Diao Long"?"
Yao Meng glanced at him with a "..." look in his eyes, although he didn't say anything, everything was said in silence.
how to say?
It is already difficult enough for them to cope with the usual exams, how could it be possible to read something like "Wen Xin Diao Long" that is beyond the outline at first glance?
It can only be said that they are worthy of being the masters of the intensive class, they are too far away.
Of course, Ji Shi's complaints are nothing but complaints. His hand feeling in this Chinese test is actually not bad. It can be said that it is close to the level of the second monthly test. He can't guarantee that he will perform exceptionally in every test, but Ji Shi feels that, If he maintains the current state, even if he can't be extraordinary, he can still perform normally.
"The Chinese teacher and the others probably thought the last exam was too easy." Yao Meng had the same thoughts as Ji Shi, "The other few subjects..."
The two looked at each other, and they both saw it clearly in each other's eyes.
absolute!It won't be easy!
……
Facts have proved that it is very difficult for them to make mistakes in guessing the teacher. When they entered the examination room in the afternoon and saw the invigilator holding the test paper with a smile on his face, Ji Shi felt that something was wrong.
He didn't know the invigilator, but judging from the expressions of the people in the intensive class, they should be the math teachers from Class 1 or Class 2.
Hearing them muttering to Ji Shi, it seemed that the teacher was a bit perverted, and the harder the paper was, the happier he was.
... Ji Shi felt that this mentality was a little abnormal and needed to be treated.
As for the difficulty of the math test paper this time, it is not an exaggeration to say that it has caught up to the level of the last monthly test. Perhaps the most difficult question is not as difficult as that one, but the average difficulty has definitely surpassed it.
Ji Shi frowned the whole time and calculated.
The teacher of Class 1 or Class 2 patrolled the aisle, and stayed near a certain student from time to time. Ji Shi noticed that he basically didn't stop at the students of Class 1 or Class 2. The one in the top 10 was the same as Ji Shi. He watched the ordinary class students the longest, followed by Ji Shi, and then Yao Meng.
When he stood next to Ji Shi, Ji Shi happened to be calculating a difficult problem. He had been struggling with it for a while, and his thinking was still not clear enough.
He didn't like the invigilator to be around when he was doing the questions, he felt like he was being watched, and Ji Shiben wasn't very happy when the questions couldn't be calculated, and it was even more uncomfortable to be stared at all the time.
The invigilator seemed to be waiting to see if he could solve the problem, and stayed by his side all the time, refusing to leave.
Ji Shi simply made himself more focused and didn't care whether there was anyone around him, and he didn't think about the perfect score now. It's still very difficult to get a perfect score on this paper.
However, even if he failed to get a full score in the test, he was not anxious. After all, mathematics is different from Chinese. He has a calm confidence in mathematics, and firmly believes that he is the top level of the grade.
With such a mentality, Ji Shi's confused thoughts finally gradually became clear.
Under the eyes of the invigilator, he picked up the pen again and wrote the simple idea of the algebra problem on the draft paper. After everything was thorough, he then copied it into the test paper. Ji Shi was always very careful when writing the questions. He would rather Write down all the simple steps, and will not omit a certain step at will. That is to say, as long as he is sure of the questions, he will never give the teacher the opportunity to deduct points.
He felt that since he knew how to do it, he should get full marks, because it would be too unfair to get not enough points if the steps were not written completely.
Seeing that Ji Shi's thinking was going smoothly and rightly, the invigilator moved away from him.
But just when Ji Shi felt relieved, the invigilator turned back, stared at his face for a while, and then gently pushed aside the test paper. Ji Shi's name and the examination room number were displayed at the bottom of the test paper.
The invigilator immediately understood.
He is the mathematics teacher and head teacher of Class 1, and there are still a lot of students in this grade who are good at mathematics. Although the students in Class 1 are better, it does not delay that he has often heard the name Ji Shi recently.
Although the mathematics of the entrance exam last time was simple, there was only such a perfect score in the grade.
This time the math test paper was almost led by him. He also felt that the paper was too simple and boring, but he was not as stubborn as the old donkey after all, so last time he produced a paper with a moderate difficulty.
As he walked around the examination room, he watched how the students were doing. He didn't look at the familiar faces, but just looked at the new faces in the first examination room.
There are just over 120 people in the intensive class. Class 1 and Class 2 sit next to each other every day. He doesn't feel embarrassed about the students in Class 2, and basically knows them all. He just wants to see the mathematics level of the students in the ordinary class.
As a result, it turned out that the students in the examination room were making almost the same progress in doing the questions. He first looked at the student who ranked highest last time, but the other party couldn't solve the difficult problem he deliberately asked. There was a problem with his train of thought. The student with seat number 11, the other party's thinking was correct, and he gradually solved the problem.
The invigilator also appreciates the attitude of the invigilator when doing the questions.
After all, he is a math teacher in the intensive class. He knows that there are many highly gifted students in the intensive class. He also knows that these students are a little confused when doing the questions and tend to omit steps. Although the answers are correct, the grades are given step by step. , You may lose a point if you are not careful.
But the students in the intensive class are a little proud after all, and this shortcoming is not easy to correct.
When it comes to Ji Shi, being able to solve this problem shows that Ji Shi's talent is already good. Looking at his attitude of writing down every step of solving the problem neatly, the top-ranked students in the intensive class may not be able to do this. a little.
……
The invigilator finally stopped staring at him. Ji Shi only felt that the air around him was much clearer. Even if the invigilator had no other intentions, he was still not used to having people staring at him during the exam.
After finishing the slightly difficult question, Ji Shi continued to look at the next question.
There are no too simple questions in the test paper this time, and you have to think carefully, but Ji Shi didn't feel stuck overall. He was very uncertain about one of the filling-in questions, but when he finished the next calculation question, his brain would be exhausted. There was a sudden flash of inspiration in Li, and he had an idea for that question inexplicably.
Ji Shi hurried back to solve the fill-in-the-blank question again, and he was sure the answer was correct.
Calculation questions are difficult from the first question. For example, the question that Ji Shi just thought about is actually only the third largest question in this exam. Normally, the following questions should be more difficult than the next question, and it is the same.
But in general, there is no question that has been stuck for a long time like a question in the previous monthly exam. Only the last small question of the last two big questions did not have enough ideas. When there are 10 minutes left in the exam , Ji Shika finally solved the penultimate question. The last question of the last question had no idea, so he just sat there. The score of this question is about 5 points.
That is to say, even if all the previous questions are correct, he can only get 155 points on this paper.
Grade [-] estimate is impossible.
He was a little bit regretful, but he could accept this result, because the last question really baffled him, and Ji Shi felt that even if he was given a little more time, he might not be able to solve it.
Yao Meng could tell by looking at his expression: "Did you fall on the last question?"
Ji Shi nodded: "Time is too tight, I didn't figure it out."
"I have one more question than you, and I think the penultimate question is quite difficult." Yao Meng asked him, "Have you solved the third big question yet?"
"Solved, the answer is 3."
"I'm almost there, too. It's quite troublesome to get the test paper this time."
After all, this examination room is the top student in Z. When Ji Shi and Yao Meng were discussing the third big question, some other students in the examination room gave the answer 3, but it was different from them not solving the last question. At that time, I heard them discussing, saying that the boy with seat number 3 solved the last problem this time.
"As expected of an intensive class, everyone is very fierce."
Just as Ji Shi and Yao Meng packed up their things and were about to go out, the boy seated behind him suddenly stopped him: "What's the answer to your penultimate question? I calculated -6."
Ji Shi suddenly remembered: "Is this the last question?"
"Correct."
Yao Meng spread his hands: "I haven't solved that problem."
Ji Shi solved it, but he forgot how he solved it at that time. When the boy asked, he turned to his previous draft paper: "My answer is -4."
The boy's expression suddenly became a little complicated.
——This is probably the most embarrassing scene at the end of each exam. It’s fine if the answers are the same, but if the answers are different, it will be a big blow to everyone.
It's not good for anyone to be wrong.
If you are in class 11, if the answer is different from Jishi in the monthly exam or practice, that person will definitely recalculate the answer, because the result is often Jishi.
But this is examination room No. 1, and the other party is a top student in the intensive class. After all, Ji Shi and Yao Meng are from the ordinary class.
So when the answers of the two were different, the other party and Ji Shi froze there, and neither of them meant to recalculate. Ji Shi was very confident in his answer, because he counted twice and it was -4, but this There is no need to emphasize to the other party.
In the end, the other party stopped his classmate, the boy sitting in seat 3: "Xu Liang, what is the last question of your penultimate question?"
"-4." The other party replied without hesitation.
"I counted -6."
"Ah, the penultimate question, I am also -6."
"-4??? I'm -6!"
There was a lot of noise in the examination room, and almost no one left. Anyway, the meeting is over, and there is no need to go back to the classroom. It doesn't matter if you leave later.
Ji Shi found that there are quite a few people whose answer to this question is -6.
But from the moment Xu Liang reported the score, someone had already recalculated that question. Ji Shi also felt that there was a pitfall when he was doing that question. After all, the difficulty was there, so he calculated the whole process carefully, lest he Accidentally stepped on a pit.
He is still in awe of mathematics.
"That's right, it's -4, you're right." The boy behind Ji Shi gave him a complicated look, "I just recalculated."
Ji Shi nodded slightly: "Yes."
The boy named Xu Liang also looked towards Ji Shi at this moment. He heard what Fu Jing said just now, so he naturally knew that Ji Shi had solved the penultimate question.
Xu Liang understood the difficulty of the second-to-last question. The deduction points for the next few questions in this exam were sufficient. According to Xu Liang's judgment, the average score of their intensive class was probably only around 130 points.
He had also heard of Ji Shi's name before, and after hearing that Ji Shi had also solved the "-4" problem, he couldn't help but pay more attention to Ji Shi.
Students with high scores in mathematics have always had an advantage in the examination room. Although Ji Shi's seat number is 11 this time, Xu Liang knows very well that for students like him and Ji Shi who are good at mathematics, the last joint entrance examination is actually not a big deal. Friendly, failed to make them open the gap.
Generally speaking, the score difference in mathematics in the college entrance examination cannot be as small as last time, and the score difference in Chinese cannot be as large as last time.
When the total scores of the three subjects are calculated next time, Ji Shi's ranking may rise by one.
Ji Shi put away his pencil case and listened to other people discussing in the examination room: "I was confused when I saw the classical Chinese question, and what should I write in the composition?"
"Survival concept... I almost wrote a jungle survival legend, it's just."
"Which ancient book did you choose the article in classical Chinese from?"
"Liu Xie's "The Literary Mind and the Carving of Dragons", I have read a bit before."
Ji Shi: "..."
He originally wanted to discuss this issue with Yao Meng, but now that he thinks about it, fortunately he didn't say anything, he has even read "Wen Xin Diao Long", and he is trembling like a rookie.
After Yao Meng finished collecting his things and the two left the examination room together, Ji Shi asked him, "Have you seen "Wen Xin Diao Long"?"
Yao Meng glanced at him with a "..." look in his eyes, although he didn't say anything, everything was said in silence.
how to say?
It is already difficult enough for them to cope with the usual exams, how could it be possible to read something like "Wen Xin Diao Long" that is beyond the outline at first glance?
It can only be said that they are worthy of being the masters of the intensive class, they are too far away.
Of course, Ji Shi's complaints are nothing but complaints. His hand feeling in this Chinese test is actually not bad. It can be said that it is close to the level of the second monthly test. He can't guarantee that he will perform exceptionally in every test, but Ji Shi feels that, If he maintains the current state, even if he can't be extraordinary, he can still perform normally.
"The Chinese teacher and the others probably thought the last exam was too easy." Yao Meng had the same thoughts as Ji Shi, "The other few subjects..."
The two looked at each other, and they both saw it clearly in each other's eyes.
absolute!It won't be easy!
……
Facts have proved that it is very difficult for them to make mistakes in guessing the teacher. When they entered the examination room in the afternoon and saw the invigilator holding the test paper with a smile on his face, Ji Shi felt that something was wrong.
He didn't know the invigilator, but judging from the expressions of the people in the intensive class, they should be the math teachers from Class 1 or Class 2.
Hearing them muttering to Ji Shi, it seemed that the teacher was a bit perverted, and the harder the paper was, the happier he was.
... Ji Shi felt that this mentality was a little abnormal and needed to be treated.
As for the difficulty of the math test paper this time, it is not an exaggeration to say that it has caught up to the level of the last monthly test. Perhaps the most difficult question is not as difficult as that one, but the average difficulty has definitely surpassed it.
Ji Shi frowned the whole time and calculated.
The teacher of Class 1 or Class 2 patrolled the aisle, and stayed near a certain student from time to time. Ji Shi noticed that he basically didn't stop at the students of Class 1 or Class 2. The one in the top 10 was the same as Ji Shi. He watched the ordinary class students the longest, followed by Ji Shi, and then Yao Meng.
When he stood next to Ji Shi, Ji Shi happened to be calculating a difficult problem. He had been struggling with it for a while, and his thinking was still not clear enough.
He didn't like the invigilator to be around when he was doing the questions, he felt like he was being watched, and Ji Shiben wasn't very happy when the questions couldn't be calculated, and it was even more uncomfortable to be stared at all the time.
The invigilator seemed to be waiting to see if he could solve the problem, and stayed by his side all the time, refusing to leave.
Ji Shi simply made himself more focused and didn't care whether there was anyone around him, and he didn't think about the perfect score now. It's still very difficult to get a perfect score on this paper.
However, even if he failed to get a full score in the test, he was not anxious. After all, mathematics is different from Chinese. He has a calm confidence in mathematics, and firmly believes that he is the top level of the grade.
With such a mentality, Ji Shi's confused thoughts finally gradually became clear.
Under the eyes of the invigilator, he picked up the pen again and wrote the simple idea of the algebra problem on the draft paper. After everything was thorough, he then copied it into the test paper. Ji Shi was always very careful when writing the questions. He would rather Write down all the simple steps, and will not omit a certain step at will. That is to say, as long as he is sure of the questions, he will never give the teacher the opportunity to deduct points.
He felt that since he knew how to do it, he should get full marks, because it would be too unfair to get not enough points if the steps were not written completely.
Seeing that Ji Shi's thinking was going smoothly and rightly, the invigilator moved away from him.
But just when Ji Shi felt relieved, the invigilator turned back, stared at his face for a while, and then gently pushed aside the test paper. Ji Shi's name and the examination room number were displayed at the bottom of the test paper.
The invigilator immediately understood.
He is the mathematics teacher and head teacher of Class 1, and there are still a lot of students in this grade who are good at mathematics. Although the students in Class 1 are better, it does not delay that he has often heard the name Ji Shi recently.
Although the mathematics of the entrance exam last time was simple, there was only such a perfect score in the grade.
This time the math test paper was almost led by him. He also felt that the paper was too simple and boring, but he was not as stubborn as the old donkey after all, so last time he produced a paper with a moderate difficulty.
As he walked around the examination room, he watched how the students were doing. He didn't look at the familiar faces, but just looked at the new faces in the first examination room.
There are just over 120 people in the intensive class. Class 1 and Class 2 sit next to each other every day. He doesn't feel embarrassed about the students in Class 2, and basically knows them all. He just wants to see the mathematics level of the students in the ordinary class.
As a result, it turned out that the students in the examination room were making almost the same progress in doing the questions. He first looked at the student who ranked highest last time, but the other party couldn't solve the difficult problem he deliberately asked. There was a problem with his train of thought. The student with seat number 11, the other party's thinking was correct, and he gradually solved the problem.
The invigilator also appreciates the attitude of the invigilator when doing the questions.
After all, he is a math teacher in the intensive class. He knows that there are many highly gifted students in the intensive class. He also knows that these students are a little confused when doing the questions and tend to omit steps. Although the answers are correct, the grades are given step by step. , You may lose a point if you are not careful.
But the students in the intensive class are a little proud after all, and this shortcoming is not easy to correct.
When it comes to Ji Shi, being able to solve this problem shows that Ji Shi's talent is already good. Looking at his attitude of writing down every step of solving the problem neatly, the top-ranked students in the intensive class may not be able to do this. a little.
……
The invigilator finally stopped staring at him. Ji Shi only felt that the air around him was much clearer. Even if the invigilator had no other intentions, he was still not used to having people staring at him during the exam.
After finishing the slightly difficult question, Ji Shi continued to look at the next question.
There are no too simple questions in the test paper this time, and you have to think carefully, but Ji Shi didn't feel stuck overall. He was very uncertain about one of the filling-in questions, but when he finished the next calculation question, his brain would be exhausted. There was a sudden flash of inspiration in Li, and he had an idea for that question inexplicably.
Ji Shi hurried back to solve the fill-in-the-blank question again, and he was sure the answer was correct.
Calculation questions are difficult from the first question. For example, the question that Ji Shi just thought about is actually only the third largest question in this exam. Normally, the following questions should be more difficult than the next question, and it is the same.
But in general, there is no question that has been stuck for a long time like a question in the previous monthly exam. Only the last small question of the last two big questions did not have enough ideas. When there are 10 minutes left in the exam , Ji Shika finally solved the penultimate question. The last question of the last question had no idea, so he just sat there. The score of this question is about 5 points.
That is to say, even if all the previous questions are correct, he can only get 155 points on this paper.
Grade [-] estimate is impossible.
He was a little bit regretful, but he could accept this result, because the last question really baffled him, and Ji Shi felt that even if he was given a little more time, he might not be able to solve it.
Yao Meng could tell by looking at his expression: "Did you fall on the last question?"
Ji Shi nodded: "Time is too tight, I didn't figure it out."
"I have one more question than you, and I think the penultimate question is quite difficult." Yao Meng asked him, "Have you solved the third big question yet?"
"Solved, the answer is 3."
"I'm almost there, too. It's quite troublesome to get the test paper this time."
After all, this examination room is the top student in Z. When Ji Shi and Yao Meng were discussing the third big question, some other students in the examination room gave the answer 3, but it was different from them not solving the last question. At that time, I heard them discussing, saying that the boy with seat number 3 solved the last problem this time.
"As expected of an intensive class, everyone is very fierce."
Just as Ji Shi and Yao Meng packed up their things and were about to go out, the boy seated behind him suddenly stopped him: "What's the answer to your penultimate question? I calculated -6."
Ji Shi suddenly remembered: "Is this the last question?"
"Correct."
Yao Meng spread his hands: "I haven't solved that problem."
Ji Shi solved it, but he forgot how he solved it at that time. When the boy asked, he turned to his previous draft paper: "My answer is -4."
The boy's expression suddenly became a little complicated.
——This is probably the most embarrassing scene at the end of each exam. It’s fine if the answers are the same, but if the answers are different, it will be a big blow to everyone.
It's not good for anyone to be wrong.
If you are in class 11, if the answer is different from Jishi in the monthly exam or practice, that person will definitely recalculate the answer, because the result is often Jishi.
But this is examination room No. 1, and the other party is a top student in the intensive class. After all, Ji Shi and Yao Meng are from the ordinary class.
So when the answers of the two were different, the other party and Ji Shi froze there, and neither of them meant to recalculate. Ji Shi was very confident in his answer, because he counted twice and it was -4, but this There is no need to emphasize to the other party.
In the end, the other party stopped his classmate, the boy sitting in seat 3: "Xu Liang, what is the last question of your penultimate question?"
"-4." The other party replied without hesitation.
"I counted -6."
"Ah, the penultimate question, I am also -6."
"-4??? I'm -6!"
There was a lot of noise in the examination room, and almost no one left. Anyway, the meeting is over, and there is no need to go back to the classroom. It doesn't matter if you leave later.
Ji Shi found that there are quite a few people whose answer to this question is -6.
But from the moment Xu Liang reported the score, someone had already recalculated that question. Ji Shi also felt that there was a pitfall when he was doing that question. After all, the difficulty was there, so he calculated the whole process carefully, lest he Accidentally stepped on a pit.
He is still in awe of mathematics.
"That's right, it's -4, you're right." The boy behind Ji Shi gave him a complicated look, "I just recalculated."
Ji Shi nodded slightly: "Yes."
The boy named Xu Liang also looked towards Ji Shi at this moment. He heard what Fu Jing said just now, so he naturally knew that Ji Shi had solved the penultimate question.
Xu Liang understood the difficulty of the second-to-last question. The deduction points for the next few questions in this exam were sufficient. According to Xu Liang's judgment, the average score of their intensive class was probably only around 130 points.
He had also heard of Ji Shi's name before, and after hearing that Ji Shi had also solved the "-4" problem, he couldn't help but pay more attention to Ji Shi.
Students with high scores in mathematics have always had an advantage in the examination room. Although Ji Shi's seat number is 11 this time, Xu Liang knows very well that for students like him and Ji Shi who are good at mathematics, the last joint entrance examination is actually not a big deal. Friendly, failed to make them open the gap.
Generally speaking, the score difference in mathematics in the college entrance examination cannot be as small as last time, and the score difference in Chinese cannot be as large as last time.
When the total scores of the three subjects are calculated next time, Ji Shi's ranking may rise by one.
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