With a man like Black-faced Carbon, Fang's ten thousand-mile horse fully exerted the strength he should have.

Black-faced carbon has a deterrent effect, which allows him to learn mathematics more efficiently. However, whenever he sees the black-faced carbon head, Fang’s heart will have the idea of ​​not relaxing first.

"You can't keep staring at someone's forehead, otherwise it will be so polite..."

One weekend, when Zheng Yihang took a week of mathematics classes, Fang finally completed all the mathematics tutorials in high school, which took more than a month, plus a few days during the summer vacation.

In the evening, Fang called Black-faced Carbon.

"Teacher Lin, I have learned all the mathematics in high school. By this week, you can give me some test questions."

"Okay, you guy is so awesome. Wait and see how I deal with you, and see if you guy dare to hand over the papers for me early!"

Fang thought of the black-faced carbon that he would be furious every time he handed in advance, and the corners of his mouth couldn't help but raise his mouth slightly. Black-faced carbon is obviously almost fifty years old, so why are you still as angry as a child? You don't look like a mature adult should have, so it makes people worry about you...

There is reincarnation in the way of heaven, who will the heaven spare?

Student Fang, who has never returned on the road to show off, finally encountered the most difficult question in history.

In the third week of special training, black carbon was thrown to Fang Yima Mathematics problem.

The title is sautéed.

In the plane rectangular coordinate system xoy, let aB be the chord passing through point F(1,o) of parabola y2=4x, and the circumference of △aoB intersects the parabola at point p (different from points o, a, B). If BF divides ∠apB bisectors, find all possible values ​​of丨pF丨.

"I'm so hard... I'm in vain. I still claim that there is no math problem that can stump me... But now, I can't even solve a math problem produced by black carbon... I've become a salted fish..."

"Why is this question so difficult... I'm so hard, but I can't handle it if I don't believe it. Black-faced carbon, wait, you won't be able to defeat me. One day I will dig out your Wuzhishan. I believe, I will be able to come out soon."

"Who can suppress me with such a monkey...hahahaha."

"I want this heaven to be unable to cover my eyes, this earth to be unable to bury my heart, this sentient beings to understand my intentions, and that all the Buddhas will disappear!"

“…”

"No, no, it's still too difficult. There are only some simple ideas. If this continues, I will go crazy..."

Fang was almost on the verge of collapse. He looked at Fang's helpless look, especially holding his scalp with his hands. He could feel that dozens of heads might fall off at this moment, and he was so happy.

You kid, can you finally encounter a math problem that you can't solve?

I thought you were so strong, I thought you were invincible in the world, and I was scared to death!

After two weeks of special training, the questions from Black-Side Carbon were easily dealt with. Although it took a little more time, they were all slowly solved. With such talent, it was not difficult to achieve certain results in the national finals, but he hoped that the party was comprehensive, so he took out some more complex questions to keep changing.

However, Fang's appearance also made him a little worried. Will he use more force and directly make this kid decadent?

"I need me to give you some advice?"

"Teacher Lin, let me do it myself and give me another ten minutes!"

"Oh, will it be enough for ten minutes? Interesting, OK, let me see what answers you can give me in ten minutes..."

Fang is indeed like Monkey Monkey now. However, the Five Fingers Mountain is really powerful and suppresses him. In terms of his Taoism, he has not yet become a Buddha completely, has not yet entered the ranks of fighting against Buddhas, and cannot fight against the sky. Under this Five Fingers Mountain, he can only be a monkey with a rebellious heart but can never climb out of Five Fingers Mountain.

Ten minutes later, Lin Seng came again.

Fang Wukong's scalp exploded, but he had to come to ask Lin Seng for help. Only Lin Seng could help him escape from the sea of ​​suffering.

"Teacher Lin, please, please save me, how do you do this question?"

Black-Sided Carbon saw that Fang was indeed on the verge of collapse, so he was very happy in his heart and decided to help Fang Wukong escape from the Five Fingers Mountain of Tathagata. He climbed up the Five Fingers Mountain and silently recited the mantra on the Five Fingers Mountain: Veda split the corners equally, Fermat's absolute value...

Damn it!

Damn it!!

Damn!!!

Fang Wukong escaped from the Five Fingers Mountain of Tathagata, and suddenly became enlightened and energetic. He instantly understood that it was like this. He had been trapped in such a demonic obstacle for so long. He was really possessed by the demon.

It shouldn't have been like that, but he actually stuck on this question for nearly an hour.

"Fairy, look at me to reveal your true body!"

So I started to pick up the pen.

Solution: Suppose a{y12/4,y1},B{y22/4,y2},c{y32/4,y3}, from the conditions, it is known that y1, y2, y3 are not equal and non-zero. Suppose the equation of the straight line aB is x=ty1 and is associated with the parabolic equation, and you can get y2--4ty=o, and with x=y2/4, it gets y4/16{1d/4}y2ey=o. The quadratic equation has four different real roots: y=y1, y2, y3, and o. According to Vedic theorem, y1y2y3o=o, so y3=-(y1y2).

"Hmph, it's very simple. I had to think for so long just now, and I was unhappy..."

Soon, Fang continued to answer.

Because pF bisectors ∠apB, it is known from the angle bisector theorem, 丨pa丨/丨pB丨=丨Fa丨/丨FB丨=丨y1丨/丨y2丨

...

...

(y12y22)2=192(y1y2)2=2o8

...

Because y12y22=4√13＞8=丨2y1y2丨

...

丨pF丨=√13-1.

"bsp;                                                             

[System tip: You have received guidance from a famous teacher and successfully solved a moderately difficult math problem and obtained 30 points for top students. Please continue to work hard on the road of learning and strive for success.]

So far, since Black-Side Carbon has conducted special training on him, the increase in Fang Xueba’s points has been several times faster. Now, his total points balance of 10326 points.

The top student points have exceeded 10,000 again!

His understanding of mathematics became more and more profound, and all the knowledge of high school mathematics was in his mind.

The days were spent unknowingly, and the days of the National High School Mathematics League's rematch were getting closer and closer.

The selection of this year's CMO national finals was finally decided at Jinling University.

"Is Jinling University? It is said that there is a senior there who is particularly powerful..."
Chapter completed!