I cried countless students in the exam
Chapter 100 How to prove it?
Chapter 100 How to prove it?
Inside the Chinese Mathematical Association, the silence was so quiet that you could hear a pin drop.
Many staff members looked embarrassed and wished they could beat themselves to death. Even though Vice President Xie Jiashuai had announced that the question master, Shen Ping, would set the questions, they still questioned Shen Ping's inability to set the questions.
As for the other people present, the corners of their mouths twitched even more.
Teacher Xiao Shen is too scary. Just looking at the first test question, it makes people feel hopeless.
How many believers of the Moon Worship Sect can kill Li Xiaoyao and Zhao Ling'er at the same time?
My God, is this an exam question that humans can answer?
Shen Ping stood in the corridor and looked at all the staff of the Huaxia Mathematical Association.
Since he started to write the questions, the relaxation and disputes between the venues have disappeared, replaced by despair, anger, loss, and even some staff members have red eyes.
As for Lin Yalan, she stood there stunned, motionless.
The only one who behaved differently was Xie Jiashuai, there was no expression on his face, he seemed to be slightly excited?
After all, this kind of test questions that can test crying students reminds him of his youth the most!
"Ahem, the test questions given by Teacher Xiao Shen are quite good..." Xie Jiashuai coughed twice, then glanced at the colleagues around him, and his eyes almost popped out of his head.
Colleagues who are usually alive and kicking, now look like puppies who have been beaten, with tears in their eyes.
As soon as the test question Dharma King made a move, he really swept everyone away!
"Little Teacher Shen..."
"If you make a question like this, I'm afraid the candidates for the Olympiad will cry..."
Some staff members couldn't help reminding them that although Shen Ping's questions were difficult, they shouldn't affect the students' answers. But after looking at it now, let alone the innocent students, they all felt their scalps go numb. !
There are only two questions for the Olympiad exam. If the third question is asked, how difficult will it be? !
Thinking of this, everyone's hearts are extremely depressed!
"Now... I'm going to come up with the third test question!"
There was a faint smile on Shen Ping's face, but in the eyes of the staff, it looked like a devil's smile crawling out of hell.
Needle drop can be heard!
No one in the Huaxia Mathematics Association spoke...
My God, the King of Exams is still asking questions. Isn't he going to let the students who participated in the Olympiad live?Even the staff of the association couldn't stand the previous two exam questions!
Exam King, are you a devil? !
"Since no one questioned it, I'll give you the third question. This question is very simple..."
While talking, Shen Ping picked up the small blackboard on the ground and began to write.
"Prove: A triangle whose two interior angle bisectors are equal is an isosceles triangle!"
"..." The female staff member froze on the spot.
"This test question is not that difficult to be honest, but if you are a student, you can't answer it at all!" A senior in the mathematics field said directly and helplessly. He could see the difficulty of this test question. Can't figure it out at all.
"Students can't do this!" Even Xie Jiashuai's eyes turned red, black lines appeared on his forehead, and he stared at Shen Ping with wide eyes, all of which were red.
"Candidates for the High School Olympiad Mathematics Competition, this time it's completely over..."
The arena was noisy.
Those who had Shen Ping's ability to write questions before all shut up, and there were only some discussions about whether the test questions could be answered by the candidates.
Of course, many staff members felt lucky in their hearts. They couldn't help but shake their heads and sigh. Fortunately, it was Shen Ping who set the questions for the candidates. If it were Shen Ping who was the teacher who gave the test papers when they were young, they would probably You will really leave the examination room crying...
They have long heard that Shen Ping is the dreaded king of examination questions in the capital city, but they still don't quite believe it.
Now he is really slapped in the face!
Everyone in the corridor looked at Shen Ping with complicated expressions, wanting to imprint his face deep in their souls.
"Teacher Xiao Shen, are you sure that the students participating in the Olympiad can answer this question?"
Someone questioned it!
Standing in front of Shen Ping, he questioned: "Mr. Shen, the exam questions you gave are very good! But what's the point of such exam questions if the students can't answer them?!"
As this person opened his mouth to question, other staff members present also agreed.
"I don't think Shen Ping should be allowed to come up with a question!" Some even protested against Shen Ping's question in full view.
Xie Jiashuai, who was standing next to Shen Ping, turned dark.
Originally, he was going to stand up and praise Shen Ping for his good performance, but now that someone is actively jumping out to challenge the king of the exam, he doesn't care!
The person glanced at everyone in the room, and then questioned: "Mr. Xiao Shen's triangle with two equal interior angle bisectors is an isosceles triangle! It's easy for us, but it's too difficult for high school students! "
While speaking, his face showed indignation, and at the same time he gave Shen Ping a hard look.
Those present who know mathematics also think this way. If it is proved that a triangle with two equal interior angle bisectors is an isosceles triangle, this is very simple for them, but for the students, it is impossible to start!
Hearing this person's question, Shen Ping showed a look of interest on his face, and then asked rather strangely: "Not to mention the candidates taking part in the Mathematics Olympiad, even the scumbag students I teach at Tianxing Middle School can answer this question. come out……"
Having said that, he deliberately sighed.
Are teachers now so concerned about their students?Do you want to question such a simple test question?
"What did you say?!" The man's face changed drastically.
Shen Ping repeated it again, "This test question is very simple. In the class I teach, any scumbag can answer several proofs!"
As he said that, he looked at the man with a strange expression, and then took out a small blank blackboard!
Answer directly on the spot!
At this moment, everyone stopped talking, and everyone's eyes fell on the small blackboard!
They are waiting for Shen Ping to answer several proof methods!
"The first proof method..."
The chalk in Shen Ping's hand quickly slid across the blackboard, and the chalk dust rustled down.
When the first proof method was solved, the face of the person who raised the question changed.
After the second method of proof was solved, the faces of many staff members who questioned that this question was not suitable for students changed.
After the third method of proof was written by Shen Ping, Shen Ping put down the end of the chalk in his hand, clapped his hands, and then scanned the audience.
This time, he was forced to take the shot, and was forced to act aggressive in front of everyone.
The problem-solving steps on the small blackboard are clear and clear.
"Prove: A triangle whose two interior angle bisectors are equal is an isosceles triangle!" The steps to solve the problem are as follows:
[We can use translation transformation: suppose that in ABC, BE and CF divide ABC and ACB equally, and BE=CF, we will prove that AB=AC.
By contradiction, AB is not equal to AC.
Let AB be greater than AC, then ACB be greater than ABC.
In BCF and CBE, CF=BE, BC=BC, so BF is greater than CE.
Moving parallel to BF and EG, the quadrilateral BEGF is a parallelogram.
Connect CG, then FCG is an isosceles triangle (FC=FG), so FCG=FGC. (1)
On the other hand, EG=BF is greater than EC, so EGC is less than ECG, so FGC is less than FCG. (2)
(1) (2) are contradictory, so AB is greater than AC does not hold.
In the same way, it can be proved that AB is less than AC, so AB is equal to AC.
Certificate completed. 】
"Who said this question was difficult just now? What's so difficult about exam questions for middle school students."
After Shen Ping wrote out various methods of proof, the scene was so quiet that a needle could be heard!
Everyone had complex expressions on their faces, looking at Shen Ping strangely.
Look at the way this guy talks, it's completely a 'no, no, no, it's not that I want to pretend, it's that you guys insist on forcing me to pretend'!
ps: Ask for a recommendation ticket!
(End of this chapter)
Inside the Chinese Mathematical Association, the silence was so quiet that you could hear a pin drop.
Many staff members looked embarrassed and wished they could beat themselves to death. Even though Vice President Xie Jiashuai had announced that the question master, Shen Ping, would set the questions, they still questioned Shen Ping's inability to set the questions.
As for the other people present, the corners of their mouths twitched even more.
Teacher Xiao Shen is too scary. Just looking at the first test question, it makes people feel hopeless.
How many believers of the Moon Worship Sect can kill Li Xiaoyao and Zhao Ling'er at the same time?
My God, is this an exam question that humans can answer?
Shen Ping stood in the corridor and looked at all the staff of the Huaxia Mathematical Association.
Since he started to write the questions, the relaxation and disputes between the venues have disappeared, replaced by despair, anger, loss, and even some staff members have red eyes.
As for Lin Yalan, she stood there stunned, motionless.
The only one who behaved differently was Xie Jiashuai, there was no expression on his face, he seemed to be slightly excited?
After all, this kind of test questions that can test crying students reminds him of his youth the most!
"Ahem, the test questions given by Teacher Xiao Shen are quite good..." Xie Jiashuai coughed twice, then glanced at the colleagues around him, and his eyes almost popped out of his head.
Colleagues who are usually alive and kicking, now look like puppies who have been beaten, with tears in their eyes.
As soon as the test question Dharma King made a move, he really swept everyone away!
"Little Teacher Shen..."
"If you make a question like this, I'm afraid the candidates for the Olympiad will cry..."
Some staff members couldn't help reminding them that although Shen Ping's questions were difficult, they shouldn't affect the students' answers. But after looking at it now, let alone the innocent students, they all felt their scalps go numb. !
There are only two questions for the Olympiad exam. If the third question is asked, how difficult will it be? !
Thinking of this, everyone's hearts are extremely depressed!
"Now... I'm going to come up with the third test question!"
There was a faint smile on Shen Ping's face, but in the eyes of the staff, it looked like a devil's smile crawling out of hell.
Needle drop can be heard!
No one in the Huaxia Mathematics Association spoke...
My God, the King of Exams is still asking questions. Isn't he going to let the students who participated in the Olympiad live?Even the staff of the association couldn't stand the previous two exam questions!
Exam King, are you a devil? !
"Since no one questioned it, I'll give you the third question. This question is very simple..."
While talking, Shen Ping picked up the small blackboard on the ground and began to write.
"Prove: A triangle whose two interior angle bisectors are equal is an isosceles triangle!"
"..." The female staff member froze on the spot.
"This test question is not that difficult to be honest, but if you are a student, you can't answer it at all!" A senior in the mathematics field said directly and helplessly. He could see the difficulty of this test question. Can't figure it out at all.
"Students can't do this!" Even Xie Jiashuai's eyes turned red, black lines appeared on his forehead, and he stared at Shen Ping with wide eyes, all of which were red.
"Candidates for the High School Olympiad Mathematics Competition, this time it's completely over..."
The arena was noisy.
Those who had Shen Ping's ability to write questions before all shut up, and there were only some discussions about whether the test questions could be answered by the candidates.
Of course, many staff members felt lucky in their hearts. They couldn't help but shake their heads and sigh. Fortunately, it was Shen Ping who set the questions for the candidates. If it were Shen Ping who was the teacher who gave the test papers when they were young, they would probably You will really leave the examination room crying...
They have long heard that Shen Ping is the dreaded king of examination questions in the capital city, but they still don't quite believe it.
Now he is really slapped in the face!
Everyone in the corridor looked at Shen Ping with complicated expressions, wanting to imprint his face deep in their souls.
"Teacher Xiao Shen, are you sure that the students participating in the Olympiad can answer this question?"
Someone questioned it!
Standing in front of Shen Ping, he questioned: "Mr. Shen, the exam questions you gave are very good! But what's the point of such exam questions if the students can't answer them?!"
As this person opened his mouth to question, other staff members present also agreed.
"I don't think Shen Ping should be allowed to come up with a question!" Some even protested against Shen Ping's question in full view.
Xie Jiashuai, who was standing next to Shen Ping, turned dark.
Originally, he was going to stand up and praise Shen Ping for his good performance, but now that someone is actively jumping out to challenge the king of the exam, he doesn't care!
The person glanced at everyone in the room, and then questioned: "Mr. Xiao Shen's triangle with two equal interior angle bisectors is an isosceles triangle! It's easy for us, but it's too difficult for high school students! "
While speaking, his face showed indignation, and at the same time he gave Shen Ping a hard look.
Those present who know mathematics also think this way. If it is proved that a triangle with two equal interior angle bisectors is an isosceles triangle, this is very simple for them, but for the students, it is impossible to start!
Hearing this person's question, Shen Ping showed a look of interest on his face, and then asked rather strangely: "Not to mention the candidates taking part in the Mathematics Olympiad, even the scumbag students I teach at Tianxing Middle School can answer this question. come out……"
Having said that, he deliberately sighed.
Are teachers now so concerned about their students?Do you want to question such a simple test question?
"What did you say?!" The man's face changed drastically.
Shen Ping repeated it again, "This test question is very simple. In the class I teach, any scumbag can answer several proofs!"
As he said that, he looked at the man with a strange expression, and then took out a small blank blackboard!
Answer directly on the spot!
At this moment, everyone stopped talking, and everyone's eyes fell on the small blackboard!
They are waiting for Shen Ping to answer several proof methods!
"The first proof method..."
The chalk in Shen Ping's hand quickly slid across the blackboard, and the chalk dust rustled down.
When the first proof method was solved, the face of the person who raised the question changed.
After the second method of proof was solved, the faces of many staff members who questioned that this question was not suitable for students changed.
After the third method of proof was written by Shen Ping, Shen Ping put down the end of the chalk in his hand, clapped his hands, and then scanned the audience.
This time, he was forced to take the shot, and was forced to act aggressive in front of everyone.
The problem-solving steps on the small blackboard are clear and clear.
"Prove: A triangle whose two interior angle bisectors are equal is an isosceles triangle!" The steps to solve the problem are as follows:
[We can use translation transformation: suppose that in ABC, BE and CF divide ABC and ACB equally, and BE=CF, we will prove that AB=AC.
By contradiction, AB is not equal to AC.
Let AB be greater than AC, then ACB be greater than ABC.
In BCF and CBE, CF=BE, BC=BC, so BF is greater than CE.
Moving parallel to BF and EG, the quadrilateral BEGF is a parallelogram.
Connect CG, then FCG is an isosceles triangle (FC=FG), so FCG=FGC. (1)
On the other hand, EG=BF is greater than EC, so EGC is less than ECG, so FGC is less than FCG. (2)
(1) (2) are contradictory, so AB is greater than AC does not hold.
In the same way, it can be proved that AB is less than AC, so AB is equal to AC.
Certificate completed. 】
"Who said this question was difficult just now? What's so difficult about exam questions for middle school students."
After Shen Ping wrote out various methods of proof, the scene was so quiet that a needle could be heard!
Everyone had complex expressions on their faces, looking at Shen Ping strangely.
Look at the way this guy talks, it's completely a 'no, no, no, it's not that I want to pretend, it's that you guys insist on forcing me to pretend'!
ps: Ask for a recommendation ticket!
(End of this chapter)
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