Four beautiful men of Fenghua College

Without too much introduction, the handsome teacher wrote two large characters on the blackboard - "Chu Yi".

The handwriting is like flowing clouds and flowing water, and the writing is like clouds and smoke...

Immediately, this action caused the female students in the classroom to chatter and praise, the teacher is so perfect...

Without too much introduction, on the podium, Chu Yi got down to business and was talking about a math problem. He wrote on the blackboard with chalk: function f(x)=x^3+(b^3-3b-a) x, (xgt;=1)x^2-ax-2, (xlt;1) (1) If a=3, b=0.Find the maximum value of f(x) on [-2, 2], (2) If for any b∈[0, 2], f(x) increases monotonically on [1, +∞), find the value of the real number a Ranges.

After finishing writing, Chu Yi asked the students who knew this question to get up and answer it, but all the female students in the class were only concerned about the handsome teacher's good looks, so how could they get up and answer the function index? →_→

The male students resented for a while, why is Teacher Mao Xin so good-looking? ==!

Especially the skin, it looks like a green onion, there are already three people in the classroom who are angry with each other, and this is another one?Depend on!What troubles wow this is! !Do you want to let him live?In the future, it will be even more difficult to make a date with a female classmate. (─.─|||

Seeing that no students stood up to answer the question, the atmosphere in the classroom was filled with embarrassment, but at this moment, Chu Yi did not panic as imagined, but smiled slightly, the slyness in his eyes flashed away, and he glanced around After four weeks in the classroom, I finally fixed my sight on one place...

"That male classmate, please stand up and answer this question."

His long and slender fingers pointed at the handsome... Sakaki Xieyun next to him, his dark eyes were as cold as frost, and there was a bone-piercing sharpness in his eyes, but he concealed it very well...

When pointing to Sakaki Xieyun, he didn't say anything, but Feng Zisa next to him unexpectedly sat on pins and needles, and his palms were sweating...

It's over!It's over!Her little shou has only been to school for a few days, he just has no interest in coming to play at home, how can such a difficult math problem be possible!The handsome teacher is also really good, and she will embarrass her family a little when she comes. (ˉ﹃ˉ)

Just as she was thinking, Feng Zisa stood up at this time, ready to answer this question for her little shou, but just as she was about to stand up, an arm and a magnetic voice stopped her at the same time...

"Student Feng, please sit down and ask the male student next to you to answer this question."

And Sakaki Xieyun grabbed her arm, stood up by himself with no expression on his face, his eyes were haughty and indifferent, as if looking at a defeated opponent, he passed her body, walked directly to the podium, picked up a piece of chalk, and wrote that he also did not belong to Chu Yi's beautiful font...

解答：（1）a=3，b=0时，f(x)=x^3-3x(x≥1），f(x)=x^2-3x-2（x＜1）

When x≥1, f'(x)=3x^2-3≥0, then f(x) increases monotonically at this time, so on [1, 2], f(x)max=f(2)= 2

当x＜1时，f(x)=(x-3/2)^2-17/4，则此时f(x)单调递减，所以在[-2，1)上，f(x)max=f(-2)=8

It can be seen comprehensively that the maximum value of f(x) on [-2, 2] is 8

（2）当x≥1时，f'(x)=3x^2+b^3-3b-a

由题意可知，3x^2+b^3-3b-a≥0当x≥1且b∈[0，2]时恒成立

Then a≤3x^2+b^3-3b

令g(b)=b^3-3b，则有g'(x)=3b^2-3=3(b^2-1)，当b∈[0，1]时g(b)单调递减，当b∈[1，2]时g(b)单调递增

∴ g(b) takes the minimum value -1 when b=2

while x≥1

∴3x^2+b^3-3b当x=1，b=1时取到最小值1

∴a≤1

Feng Zisa felt strange why the beautiful teacher knew her last name, he hadn't called out her name before class.However, apart from being astonished, an even more shocking thing happened...

In just 1 minute, Sakaki Xieyun had already written the entire detailed process of this math problem on the blackboard. Not only was his handsome jaw dropped to the ground for the second time today, but even Jiangchuan Shashu, who was in the same classroom, Bai Yinchen and Chen You were also surprised...

What's more, the two men who are as handsome as gods stand together, don't mention how amazing they are, but they have a devilish allure all over their bodies. The female students really feel that there is nothing else they can ask for at that moment. Just watching the two handsome guys quietly is enough...

But this kind of visual enjoyment is often better than Sakaki Xieyun!

There was not a single mistake in the process. Chu Yi nodded his head appreciatively, a gleam of admiration emerged, a fatal shallow smile appeared on his lips, and he said, "You did a good job, this classmate, what's your name?"

Sakaki Xieyun looked at Chu Yi leisurely, a sneer sneered on his knife-like thin lips, and raised his eyebrows: "My name is... Sakaki Xieyun!"

"Okay, I've made a note, Sakaki Xieyun, please go back to your seat."

There was a trace of coldness in his eyes, Sakaki Xieyun walked down the podium and passed Chu Yi at the same time, a dangerous light flashed in Xiemei's pupils, his handsome face became more and more cold, and he warned softly Said: "Chu Yin, don't come here unharmed!"

He just moved his lips, but unexpectedly, he found a vile provocative smile on the corner of Chu Yin's mouth...

What's more, when he was calling Sa'er, the very clear "Classmate Feng" pierced his ears, which made him startled...

When Sakaki Xieyun was working on the problem with his back to the blackboard, his teeth were clenched, his eyes were scarlet, with a biting coldness, and the angry jealousy almost burst out of his eyes...

However, from the perspective of Feng Zisa who has no eq, it is obvious that the handsome man made a little seduction by the beast in front of her!

Taking this opportunity to answer the question, I really covet the beauty of her family, rely on it!Has her little shou been beaten by the handsome teacher?

The female hooligan realizes again...

Ow! ! !dangerous bird~~~~~~~~~

She wants to snatch Xiaoshou back!They must not be allowed to run hand in hand towards the bright and sad spring of BL's ultimate love...