Chapter 17
Chapter 17 Please don’t be in the same examination room as Huaxia (please support, second update)
Wilson left, or he made excuses and ran away in a hurry.
After returning to Princeton, the professor used his connections to
"I want to know, over in China, what are the exam rooms where the scores are divided?"
"Wilson, are you entangled with several lovers again?
Wilson roared:"Charlie, I need an accurate answer.""
"What happened in the third examination room?"
"It’s okay. I don’t want my Princeton students, or students from our country, to go to Examination Room No. 3. If possible, I hope that for our sake, my students can go to other examination rooms."
Change the examination venue?"
"Wilson, when did you start worrying about China?"
"The leader is Chen"
"Hahaha, Chen is leading the team. What you said is really a joke. Chen is the person who is most afraid of trouble. You said it is okay for Chen to do scientific research, but you said Chen wasted his time on raising a group of children. Beat him to death. I don't even believe it��
"Chen's daughter is already eighteen years old"
"Fuck, it’s such an important message, why didn’t you tell me, I need to contact my friends, I think it’s better not to be in the same examination room as Huaxia this year, I’m sure. Wilson sighed and added:"Yes, I am also very sure that Chen's students will definitely do some strange things. Come to think of it, it turns out that we haven't seen each other for nearly twenty years. It's been a long time.""
What on earth has Chen been doing in the past twenty years?
Is it true that he gave up mathematics as Chen said?
But no matter what he thinks here, the exam will still be conducted as usual, but the exam venue will be changed.
Six Individuals lined up nervously, while Chen Fan and his daughter were enjoying the shade under the shade of a tree.
"Zhang Rongrong, let me ask you a question"
"You say, you say."
Holding her chin, Zhang Rongrong was paying attention to Chen Fan all the time.
Zhang Rongrong was very happy to get Chen Fan's answer.
"If there was a very tempting job in front of you, but it required you to give up your nationality, what would you choose?"
"I won't accept it."
Chen Fan said:"Under this premise, if I add a few more conditions, you will be ostracized in the country and troubled by all kinds of imposters, will you?"
"Won't"
"Would you give up your nationality to make life better for your family?"
"Won't"
"Are you so sure?"
"Because my legs will be broken by my parents, and I don’t want to walk with a limp. My grandfather is Lao Hong, so your problem has never been a problem, and wherever you go, I will go."
Of course, the last sentence is a flirting thing, but for Chen Fan, he doesn't care at all. He selectively ignores it.
Chen Keke said:"Dad, back then, were you and my mother also on the same team?"
"Well, she is the person I talk to, the only channel to communicate with the outside world."
"Ah, then my mother participated in the Olympics and won a prize?"
"Got it, full marks."
Hahahaha.
How is that possible?
"Dad, are you bragging? My mother is also a math genius? Chen
Fan said:"It's nothing, I just told your mother the answer.""
The answer is, stop making trouble.
How is this possible? Where does this kind of international examination exist... Wait.
Chen Keke seemed to have thought of something, and Zhang Rongrong seemed to have thought of something too.
"Dad, can you theoretically guess it from the college entrance examination papers?"
"It's just probability. You'll know it after you study it. Probability is a very interesting subject. It's actually similar to predicting the future. But I haven't thought of a term for it yet. You can engage in this major."
Chen Keke doesn't want to engage in this major. It's enough to have someone in the family who studies mathematics. Chen Keke definitely doesn't want to study mathematics. She will become bald if she studies mathematics. She is a beautiful girl. How can a beautiful girl allow herself to be bald.
And outside While chatting in the garden, several candidates were looking anxiously at the papers in their hands.
Suppose J is the center of the tangent circle to the vertex A of the triangle ABC. The tangent circle to the side BC is at point M, The straight lines AB and AC are tangent to points K and L respectively. The straight lines LM and BJ intersect at point F, and the straight lines KM and CJ intersect at point G. Let S be the intersection of straight lines AF and BC, and T be the intersection of straight lines AG and BC. Prove: M is the midpoint of line segment ST.
Looking at this question
, Li Ming didn't know what to say.
Similarly, the other three students were really embarrassed. To make up the numbers?
They know this question.
Why? Because of this graphic problem, they have recited no less than ten of them in their heads.
∠JFL=∠JBM∠FMB=∠JBM∠CML=12(∠A+∠C)12∠C=12∠A=∠JAL,
So A、F、J、The four points of L are a circle. From this, we can get AF⊥FJ,And BJ is the angle bisector of ∠ABS, so the angle bisector of triangle ABS coincides with the height, so AB=BS;AC can be obtained in the same way=CT.
Basically, you don’t need a few operating points, you just need to add a slight line.
This is the geometric proof. If you find the line, the answer will come out instantly. If you can't find it, you will never find the answer in your life.
Then, with an anxious mood, the four of them continued to look down.
Scanned it.
My heart started to pound again.
Could it be that teachers also like to cheat?
Find all functions f:Z→Z makes it so that for any integers a, b, c that satisfy a+b+c=0, f(a)2+f(b)2+f(c)2=2f(a)f(b)+2f( b)f(c)+2f(c)f(a).
Solution: Let a=b=c=0 to get 3f(0)2=6f(0)2, which means f(0)=0. Now We set b=a,c=0 to get f(a)2+f(a)2=2f(a)f(a), that is, (f(a)f(a))2, so f(a)= f(a), that is, f(n) is an even function.
The parity and evenness of functions, this knowledge point, does not exceed the category at all.
But, but.
The four of them felt very strange.
The answer is ready to come out, but for a question like this, they still have five answers in their minds.
Damn it, can’t a dog write with a pen?
This is no Olympics. ps: Please support me, thank you all.