Cultivation Department Shura Field
Chapter 53 053 Parallel Lines
Chapter 53 053 Parallel Lines
For most junior high school students in our school, winter vacation is very relaxing.But Shen Lan is an exception.
On this warm and sunny morning, she was sitting in school, listening to the math teacher explaining the Mathematical Olympiad questions.There are only eight students in this classroom, including her, and these students are all junior high school students who are going to participate in the provincial Mathematical Olympiad competition.Half are in the second grade of junior high school, and half are in the third grade of junior high school.
Unlike many other junior high school students, these students do not need teachers to push them to study.They have mastered all the mathematics knowledge in junior high school, and they want to continue to improve. They will do the Mathematical Olympiad questions, and then strive to get a ranking in the competition to gain extra points for choosing a high school school.
The teacher on the podium is a female teacher in her 60s or [-]s. Her hair is gray and messy, but the gaze under her lenses is quite sharp.This teacher's surname was Lu, and he was quite dignified among the students.She is usually the math teacher for several classes in the third grade of junior high school, and has been the mainstay of the junior high school for many years.
"Everyone, please pay attention. Only our classmate Shen Lan has solved this problem. The key to it is these two auxiliary lines..." The teacher is talking about a geometry problem at this time.This is the type that Shen Lan is best at.
After the teacher finished explaining this geometry problem and took a breather, there was a knock on the classroom door.
A younger male teacher leaned in and said, "Excuse me, Teacher Lu, the information of the classmate I mentioned last time has been placed on your desk."
"A freshman in junior high school?"
"Yes, his grades are very outstanding, and I have observed that his thinking is very active, and he may have learned a lot in advance."
"I'll look back."
"Okay, then you continue."
After a short conversation, the male teacher turned and left.
Teacher Lu on the podium unscrewed the lid of the cup and took a sip of water.
The classmates next to me whispered: "You dare to come even if you are in the first year of junior high school?"
Shen Lan chuckled and said: "Haha, it's good if you can keep up."
----
That afternoon, Xu Zhe, who was mining and studying alone at home, received an unexpected call.
The caller is Mathematics Teacher Zhao.
After the call was connected, Teacher Zhao's first words were: "I have already agreed with Teacher Lu, who is in charge of the Mathematical Olympiad in the junior high school, that I can sign you up to participate in the competition. But there is a condition."
Xu Zhe: "What conditions?"
Teacher Zhao: "You have to take a test paper first. The test covers the entire three years of junior high school mathematics. When you can pass Teacher Lu's test, you can start practicing Mathematical Olympiad with her."
Xu Zhe immediately asked: "Then if I pass the preliminary test, I won't need to do my usual homework in the future, right?"
"Haha," Teacher Zhao said jokingly, "You are already preparing for the Mathematical Olympiad, why do you still need to write ordinary homework? Needless to say, after you pass, you don't need to do any math homework during this winter vacation."
Xu Zhe: "Is this true?"
Teacher Zhao: "It's okay not to do homework, but you have to prepare for the basic test. Can you master all the mathematics knowledge in the three years of junior high school during the winter vacation? Teacher Lu's requirements cannot be low, and the passing line definitely does not meet their requirements. Not only do you You have to finish your studies in advance, and you have to study well so that you can get high marks in the exam."
Although he was very confident, Xu Zhe still deliberately said modestly: "I think I can give it a try."
Teacher Zhao: "Then give it a try. But I agreed that you can be exempted from math homework, but not other classes. Don't let your class teacher come to trouble me and say that you are using this as an excuse to get rid of homework from other subjects." ”
Xu Zhe smiled and said: "Of course not. Don't worry, I won't make it difficult for you."
"As long as you have an idea. Okay, that's all I'll tell you. Get ready for the winter vacation. We'll see you again when school starts. Goodbye."
Teacher Zhao hung up the phone.
Xu Zhe took the receiver and sat on the sofa and thought for a long time.
There is still more than half of the winter vacation, and it is more than enough to review junior high school mathematics. But since the teacher who teaches the Mathematical Olympiad asked the question, is it possible to deliberately trick it?Thinking about it this way, it seems that it is necessary to solve some difficult problems and exercise your thinking like sharp turns.
Xu Zhe put the receiver back in its place.Just then, the phone rang again.
He picked up the receiver he put down two seconds ago and heard Song Xingye's voice:
"Hey, are you classmate Xu Zhe?"
"it's me."
"I just made several calls, why are they all busy?"
"Oh... Teacher Zhao has something to do with me."
"Teacher Zhao is looking for you? Why?"
Judging from the tone, the girl on the other end of the phone was obviously curious.
Xu Zhe explained briefly: "He asked me to study the mathematics of the second and third grade of junior high school by myself. He will give me a separate test in the new semester. If I can pass it, I will take the Mathematical Olympiad."
Song Xingye: "Second and third grade of junior high school? But we haven't even studied in the first semester of junior high school!"
Xu Zhe: "To be honest, I have actually studied on my own in advance...but I still have to prepare well."
Song Xingye: "It's not enough to prepare once. You have to prepare many times and take a lot of time to make it possible, right?"
While chatting here, Xu Zhe suddenly remembered something.
He suppressed a smile and deliberately pretended to be melancholy: "Yes, it is very difficult to prepare. It is not enough to just learn and understand all the mathematical knowledge points in the three years of junior high school. You have to go through all the difficult problems. So, I really don’t have time to do other homework during this winter vacation.”
"Ah?" Song Xingye realized something, "You don't want to..."
Xu Zhe: "We agreed to learn from it."
Song Xingye: "..."
Xu Zhe: "Except for math, because Teacher Zhao approved that I don't have to do math homework. So, how are you doing with the homework for other subjects?"
Song Xingye sighed: "The vacation has only been for a few days, how can it be so fast?"
Xu Zhe: "Can I trust you? When I come back after the Spring Festival, I will take a look at your..."
Song Xingye did not agree immediately, but asked: "Come back after the Spring Festival? Where are you going during the Spring Festival?"
Xu Zhe: "I'm going to visit relatives. My grandparents and grandparents are all in the provincial capital. During the Chinese New Year, relatives from my uncle's and aunt's generation should also gather in the provincial capital. So our family will also go there before New Year's Eve. I'll wait until Come back during the Lantern Festival."
"That's it..." Song Xingye muttered, "My grandparents are here, so our family shouldn't go anywhere. At most, we can go have dinner with them."
Xu Zhe: "Isn't this just right? You don't have to worry about running back and forth, and you can do your homework without any worries. When I come back during the Lantern Festival, can you handle all the other homework besides math? After all, our little Ye Zi is so good."
Song Xingye: "Okay, I'll give it to you when the time comes."
Xu Zhe couldn't help but smile and said, "Then we have an agreement?"
The girl on the other end of the phone snorted and complained: "You are really not honest at all."
Complaints are complaints, she just agreed.Without repeated low-level homework, Xu Zhe can have a lot of freedom during this winter vacation.
----
(End of this chapter)
For most junior high school students in our school, winter vacation is very relaxing.But Shen Lan is an exception.
On this warm and sunny morning, she was sitting in school, listening to the math teacher explaining the Mathematical Olympiad questions.There are only eight students in this classroom, including her, and these students are all junior high school students who are going to participate in the provincial Mathematical Olympiad competition.Half are in the second grade of junior high school, and half are in the third grade of junior high school.
Unlike many other junior high school students, these students do not need teachers to push them to study.They have mastered all the mathematics knowledge in junior high school, and they want to continue to improve. They will do the Mathematical Olympiad questions, and then strive to get a ranking in the competition to gain extra points for choosing a high school school.
The teacher on the podium is a female teacher in her 60s or [-]s. Her hair is gray and messy, but the gaze under her lenses is quite sharp.This teacher's surname was Lu, and he was quite dignified among the students.She is usually the math teacher for several classes in the third grade of junior high school, and has been the mainstay of the junior high school for many years.
"Everyone, please pay attention. Only our classmate Shen Lan has solved this problem. The key to it is these two auxiliary lines..." The teacher is talking about a geometry problem at this time.This is the type that Shen Lan is best at.
After the teacher finished explaining this geometry problem and took a breather, there was a knock on the classroom door.
A younger male teacher leaned in and said, "Excuse me, Teacher Lu, the information of the classmate I mentioned last time has been placed on your desk."
"A freshman in junior high school?"
"Yes, his grades are very outstanding, and I have observed that his thinking is very active, and he may have learned a lot in advance."
"I'll look back."
"Okay, then you continue."
After a short conversation, the male teacher turned and left.
Teacher Lu on the podium unscrewed the lid of the cup and took a sip of water.
The classmates next to me whispered: "You dare to come even if you are in the first year of junior high school?"
Shen Lan chuckled and said: "Haha, it's good if you can keep up."
----
That afternoon, Xu Zhe, who was mining and studying alone at home, received an unexpected call.
The caller is Mathematics Teacher Zhao.
After the call was connected, Teacher Zhao's first words were: "I have already agreed with Teacher Lu, who is in charge of the Mathematical Olympiad in the junior high school, that I can sign you up to participate in the competition. But there is a condition."
Xu Zhe: "What conditions?"
Teacher Zhao: "You have to take a test paper first. The test covers the entire three years of junior high school mathematics. When you can pass Teacher Lu's test, you can start practicing Mathematical Olympiad with her."
Xu Zhe immediately asked: "Then if I pass the preliminary test, I won't need to do my usual homework in the future, right?"
"Haha," Teacher Zhao said jokingly, "You are already preparing for the Mathematical Olympiad, why do you still need to write ordinary homework? Needless to say, after you pass, you don't need to do any math homework during this winter vacation."
Xu Zhe: "Is this true?"
Teacher Zhao: "It's okay not to do homework, but you have to prepare for the basic test. Can you master all the mathematics knowledge in the three years of junior high school during the winter vacation? Teacher Lu's requirements cannot be low, and the passing line definitely does not meet their requirements. Not only do you You have to finish your studies in advance, and you have to study well so that you can get high marks in the exam."
Although he was very confident, Xu Zhe still deliberately said modestly: "I think I can give it a try."
Teacher Zhao: "Then give it a try. But I agreed that you can be exempted from math homework, but not other classes. Don't let your class teacher come to trouble me and say that you are using this as an excuse to get rid of homework from other subjects." ”
Xu Zhe smiled and said: "Of course not. Don't worry, I won't make it difficult for you."
"As long as you have an idea. Okay, that's all I'll tell you. Get ready for the winter vacation. We'll see you again when school starts. Goodbye."
Teacher Zhao hung up the phone.
Xu Zhe took the receiver and sat on the sofa and thought for a long time.
There is still more than half of the winter vacation, and it is more than enough to review junior high school mathematics. But since the teacher who teaches the Mathematical Olympiad asked the question, is it possible to deliberately trick it?Thinking about it this way, it seems that it is necessary to solve some difficult problems and exercise your thinking like sharp turns.
Xu Zhe put the receiver back in its place.Just then, the phone rang again.
He picked up the receiver he put down two seconds ago and heard Song Xingye's voice:
"Hey, are you classmate Xu Zhe?"
"it's me."
"I just made several calls, why are they all busy?"
"Oh... Teacher Zhao has something to do with me."
"Teacher Zhao is looking for you? Why?"
Judging from the tone, the girl on the other end of the phone was obviously curious.
Xu Zhe explained briefly: "He asked me to study the mathematics of the second and third grade of junior high school by myself. He will give me a separate test in the new semester. If I can pass it, I will take the Mathematical Olympiad."
Song Xingye: "Second and third grade of junior high school? But we haven't even studied in the first semester of junior high school!"
Xu Zhe: "To be honest, I have actually studied on my own in advance...but I still have to prepare well."
Song Xingye: "It's not enough to prepare once. You have to prepare many times and take a lot of time to make it possible, right?"
While chatting here, Xu Zhe suddenly remembered something.
He suppressed a smile and deliberately pretended to be melancholy: "Yes, it is very difficult to prepare. It is not enough to just learn and understand all the mathematical knowledge points in the three years of junior high school. You have to go through all the difficult problems. So, I really don’t have time to do other homework during this winter vacation.”
"Ah?" Song Xingye realized something, "You don't want to..."
Xu Zhe: "We agreed to learn from it."
Song Xingye: "..."
Xu Zhe: "Except for math, because Teacher Zhao approved that I don't have to do math homework. So, how are you doing with the homework for other subjects?"
Song Xingye sighed: "The vacation has only been for a few days, how can it be so fast?"
Xu Zhe: "Can I trust you? When I come back after the Spring Festival, I will take a look at your..."
Song Xingye did not agree immediately, but asked: "Come back after the Spring Festival? Where are you going during the Spring Festival?"
Xu Zhe: "I'm going to visit relatives. My grandparents and grandparents are all in the provincial capital. During the Chinese New Year, relatives from my uncle's and aunt's generation should also gather in the provincial capital. So our family will also go there before New Year's Eve. I'll wait until Come back during the Lantern Festival."
"That's it..." Song Xingye muttered, "My grandparents are here, so our family shouldn't go anywhere. At most, we can go have dinner with them."
Xu Zhe: "Isn't this just right? You don't have to worry about running back and forth, and you can do your homework without any worries. When I come back during the Lantern Festival, can you handle all the other homework besides math? After all, our little Ye Zi is so good."
Song Xingye: "Okay, I'll give it to you when the time comes."
Xu Zhe couldn't help but smile and said, "Then we have an agreement?"
The girl on the other end of the phone snorted and complained: "You are really not honest at all."
Complaints are complaints, she just agreed.Without repeated low-level homework, Xu Zhe can have a lot of freedom during this winter vacation.
----
(End of this chapter)
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