One by one was stunned.

After Xu Heng finished his questions and drawings, he put down his phone, and all the teachers froze in place.

Xu Heng, "???"

"Teachers, what's the matter with you?"

"teachers……?"

A teacher came back to his senses, "Student Xu Heng, you almost fooled me! You drew a circle with your bare hands, it's too round!"

Xu Heng tilted his head, "What do you mean?"

"Isn't drawing a perfect circle a teacher's basic requirement?"

The teachers pouted, "%¥#@¥¥%..."

Xu Heng looked at Teacher Ge, "Mr. Ge, what do you think?"

Teacher Ge immediately distanced himself from Xu Heng, "Ahem! No, no, no! That's not the case! Student Xu Heng, you have a solid foundation! You are different from us!"

Xu Heng, "Uh..."

He's all bad.

Teacher Ge!

What about the united front?

How can you get cold feet?

Teacher Ge's scalp is numb!

joke!

If I don't withdraw faster, I will be the one to be ashamed!

You can draw a perfect circle, but I can't!

"Cough cough cough..." Teacher Ge coughed twice, "Let's read the questions!"

The teachers echoed embarrassingly, "That's right! Look at Xu Heng's question."

"Yeah! That's great!"

"By the way, student Xu Heng, you need to make auxiliary lines for this question?"

"You still need to use the Pythagorean theorem."

"The difficulty of this question lies in the second question..."

"Yes Yes Yes……"

Seeing the poor acting skills of this group of people, Xu Heng rubbed his temples involuntarily. He approached Teacher Ge, and Teacher Ge took a step back.

Teacher Ge regrets it very much now, because at this moment, he realized that Xu Heng is not at the same level as himself!

I have so many "records", so I am naturally higher than the average teacher who produces papers.

The gap between these test-exiting teachers in front of him and him, if there is a grade division, then Teacher Ge is three to five grades higher than them.

Can--

Teacher Ge deeply realized that between him and Xu Heng, Xu Heng's level was much higher than his!

He just realized it!

It is not that I have found like-minded teammates, but I have found a teacher to learn from.

Xu Heng's level is far above his own!

How can he make irresponsible remarks?

If I stand in a team with Xu Heng, I have already supported myself.

Teacher Ge looked at Xu Heng's question seriously.

The question is very clever!

Teacher Ge's eyes brightened, "Not only are the questions novel, but the key is the difficulty!"

"And adding graphics and computing..."

"It seems that my recent questions are all behind. This is a perfect math problem!"

"In the future, this question will definitely become a classic."

As he said that, Teacher Ge couldn't help but stepped forward, picked up the chalk and began to write and draw.

Not long after, he gave a standard answer to this question.

Many math teachers nodded, "Teacher Ge's idea is the same as I thought."

"Me too!"

"Me too! Me too!"

"..."

But Xu Heng shook his head, "Mr. Ge, your way of solving this problem is complicated!"

Surrounded by the compliments of countless people, Xu Heng was overwhelmed.

slam-la-

In an instant, everyone looked at Xu Heng, the corners of their eyes twitching.

Teacher Ge was also stiff all over, like a statue.

Even the smile on the corner of his mouth froze!

"This……?"

What Xu Heng meant, is there a second way to solve the problem?

"Student Xu Heng, are you talking about the first question...or the second..."

Xu Heng stepped forward, shook his head, and wrote down the answer directly.

Two questions!

All new ideas!

(1) Pass B for BE⊥OC to E, pass A for AF⊥BE to F

Because ∠ABC=90, ∠BEC=90

Because ∠ABF=∠BCE

So tan∠ABF=tan∠BCO=4/3

Let AF=4x(m), then BF=3x(m)...

……

So CE=3/4BE...

……

So, BC=150m

The first question was written, and it was written in a small space on the blackboard. Compared with Teacher Ge's problem-solving ideas, it really only took up a little space!

Ten people could tell that the space Xu Heng used was only half of Teacher Ge's!

But the answer is the same for both of them!

Look at the second question...

Xu Heng's pen is a dragon and a snake.

Let BC and ⊙M cut at Q, extend QM, CO and intersect at P

Because ∠POM=∠PQC=90

So ∠PMO=∠BCO

Let OM=XM...

……

所以 -(3/5)x-(60-x)≥80, -(3/5)x-x≥80

Solution: 10≤x≤35

Therefore, R reaches its maximum value if and only if x=10

When OM=10m, the protected area is the largest.

Putting down the chalk, Xu Heng easily solved the problem.

"So, a very simple question... hey..."

When Xu Heng came up with a question, he thought it was okay, but as soon as he did it...he started to struggle.

"Forget it! Let's wipe it! No need..."

Just wipe it!

This made all the mathematics teachers present collectively dumbfounded.

Including Teacher Ge.

capricious!

Xu Heng is really wayward!

For this question, for so many math teachers, it is already very good to do a question 18,19 and [-] in the test paper!

In Teacher Ge's opinion, this is also a good question.

But Xu Heng didn't think it was good enough, or...too simple!

Xu Heng erased this question in front of these people.

These teachers are feeling and regretting one by one.

Teacher Ge stepped forward and asked Xu Heng, "Why did you erase it?"

Xu Heng, "It's too simple! Asking such a question is disrespectful to the candidates."

Teacher Ge was speechless for a moment, "%¥#@¥¥..."

He seemed to realize that the "difficulty" he thought was not on the same level as Xu Heng's "difficulty"!

He was shocked!

But what shocked him even more was that within a few seconds after Xu Heng erased the previous question, the second question came out.

Not only was he stunned, but all the teachers in the math group were also stunned.

How could anyone come up with such a volume?

Question after question?

It is simply a question machine!

This is simply not human!

!!!

On the blackboard:

Let {an} be the arithmetic sequence whose first term is a1 and the tolerance is d, {bn} is the geometric series whose first term is b1 and the common ratio is q

(1)设a1=0,b1=1,q=2,若|an-bn|≤b1对n=1,2,3,4均成立,求d的取值范围;

(2) If a1=b1>0, m∈N*, q∈(1, 2 under the root of m times), prove that there exists d∈R such that |an-bn|≤b1 for n=2,3, L, m+1 are all established, and find the value range of d (expressed by b1, m, q)

As soon as this question comes out.

Everyone was stunned.

Including Teacher Ge.

After a while, everyone was relieved.

Even they themselves wanted to complain about themselves, "Why are you stunned again! Sigh... Time and time again, classmate Xu Heng has completely subverted us!"

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