Xu Bin is a teacher at Rainbow Island High School.

In the past two years, he was attracted by the welfare benefits of Rainbow Island High School and came to teach at the school.

After arriving at Rainbow Island High School.

Xu Bin was very satisfied.

The school’s hardware conditions are very good and the campus is beautifully constructed.

The desks are specially customized and are also equipped with comfortable rest beds.

A home for teachers and staff, there are books, tea and coffee, literature and art, and petty bourgeoisie.

The school provides well-decorated apartments for faculty and staff with all household appliances, which solves their worries.

There is a subway station next to the school, making traveling extremely convenient.

The only thing that Xu Bin felt was a fly in the ointment was that the students at Rainbow Island High School were relatively “poor”.

Poor does not refer to the students’ atmosphere and character.

Instead, the students mainly come from the children of the faculty and staff of Rainbow Hospital, the children of faculty and staff of Rainbow University, and the children of Rainbow Island home buyers.

They are basically inferior to the “Rainbow Village students”.

Of course, students with Caihong Village household registration basically study at Caihong High School.

Rainbow High School ranked first in Xiaguo High School last year, shining brightly.

And Rainbow Island High School, which also belongs to Rainbow Village.

But he is unknown, not even among the top 500 of Xiaguo High School.

All students.

There are only a handful of seedlings in Huaqing and Yanda.

With any luck.

A small number of students can be admitted to 985 universities or 211 universities.

no way.

Compared to Rainbow High School.

Rainbow Island High School recruits a relatively average number of students.

What Xu Bin can do is to let as many students as possible get into college!

……

March 2nd.

As usual, Xu Bin walked into the classroom of Grade 3 (2) and taught math lessons to the students.

He took out his textbook and said: “Before class, I will test your learning results during this winter vacation.”

The words fell.

Xu Bin picked up the chalk and wrote the title on the blackboard.

Most courses at Rainbow Island High School use multimedia teaching.

But mathematics courses still use the traditional blackboard.

He asked two questions.

First, it is known that f(x)e?-ax and g(x) equal ax-x have the same minimum value.

1. Find the value of a.

2. Prove that there is a straight line yb, which has three different intersection points with the two curves yf(x) and yg(x), and the abscissas of the three intersection points from left to right form an arithmetic sequence.

Secondly, the height of the regular triangular prism is 1, and the upper and lower bases are 3 3.4 4 respectively. Then the surface area of its circumscribed sphere is ()。

A 100.

B,128.

C,144.

D,192.

Answer the questions and draw the formulas。

……

Xu Bin looked at the people in the audience and asked, “Who is coming for the first question?

The students all raised their hands and wanted to answer the questions。

“Teacher, I know this question!”

“Teacher Xu, choose me, choose me!”

“Let me answer the question, please! ”

Seeing this, Xu Bin smiled.

He randomly selected a female student and handed her the chalk to indicate the answer.

Xu Bin asked again: “Who will answer the second question? ”

The students raised their hands again.

He randomly selected a male student to go on stage to answer the question.

In key high schools,

these two questions are both difficult questions.

In ordinary high schools, there are even fewer answers. .

Xu Bin did not have any expectations at first. He

never thought that all the students raised their hands.

This surprised him.

Xu Bin looked at the blackboard to see if the students were cheating.

He saw the first one on the stage. The female student’s thinking is very clear.

She wrote: “When a 1, f(x)e?-x, g(x)x-x.

From (1) we know that f(x) and g(x) have an intersection point, then there must be three different intersection points between a straight line yb and two curves yf(x) and yg(x).

Let’s assume that the abscissas of these three intersection points are x1, x2, and x3.

Note that exx, then we have x1 x2, and similarly x2 x3, that is, e3 is equal to e?2.

Therefore x1+x3 x2+e?2, and 2×2 x+2e?2, therefore x1+x3 2×2, that’s proof!

See the answer to the question.

Xu Bin nodded with satisfaction.

He turned his head and looked at the second boy who answered the question.

I saw the male student draw a figure on the blackboard and set A.A1、B、B1、O、O1, O2, C1、P。

AB equals 4 3 O2A 4; AlB1 3 3 OlA1 3.

Let the radius of the circumscribed sphere of the right triangular prism be R.

OO2 x, high OlO2 1.

In R

T?OAO2, OA2 O2A2+OO22 R2 16+x2…

write down the formulas line by line.

The male student finds 4 R2 100!

The student finished writing the last formula and put down the chalk.

He patted the chalk foam on his hands and sat back down with a calm expression. (To read exciting novels, go to Feilu Novel Network!)

……

Two questions down.

Xu Bin nodded with satisfaction.

The two students answered correctly and the steps to solve the problem were flawless.

He couldn’t help but ask: “Students, how did you do it? Did you work hard secretly in private?”[]

The words fell.

The math class representative stood up and explained: “Teacher Xu, the college entrance examination is getting closer and closer.

This winter vacation, we have been reviewing our homework, and our grades have improved rapidly.

After the new semester started,

we found that the math class you taught was very sophisticated and popular. Easy to understand, good at giving examples, and explaining things in simple terms.

After listening to the class, everyone felt that they had benefited a lot.

Question types that we had not mastered before suddenly had the correct ideas for solving problems.

Since we were young, for the first time we felt that mathematics So simple!”

Hear this.

The students present nodded in agreement.

Seeing this, Xu Bin was stunned and blushed a little.

In his more than ten years of teaching career, he has never received such a high evaluation.

Xu Bin took a deep breath and said in a solemn voice: “Students, the subject of mathematics is very important.

The universe is huge, the particles are tiny, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, the mysteries of biology, the complexity of daily use, and so on. Mathematics is not used everywhere.

The fields of aerospace, national defense and security, biomedicine, information, energy, oceans, artificial intelligence, etc. are all inseparable from mathematics. In Xia

State, mathematics is the mother of science.

From the teacher I hope in my heart that you can learn mathematics well.

Whether it is the college entrance examination in a few months or in your future life, you will deal with mathematics.”

The words fell.

All the students in the class nodded solemnly.

During the winter vacation this year.

Each of them was surprised to find that their learning ability had become many times stronger.

Mathematics and Chemistry of Science.

History and geography of liberal arts.

It seems that all disciplines have opened a new door to them.

Learning knowledge becomes very easy.

The students didn’t know why this happened, they just thought it was due to their accumulation of knowledge.

Since that time.

They work harder to learn knowledge and make rapid progress every day.

After hard work.

The students suddenly discovered how outstanding their teachers in each course really were.

The teachers at Rainbow Island High School are all famous teachers hired with high salaries.

Their lectures are of extremely high standard.

After going back and forth.

All the students at Rainbow Island High School seem to be “reborn”。

……

Next.

Xu Bin officially taught math class to the students.

He found that every student listened attentively to the class and was immersed in the world of mathematics.

Xu Bin likes this kind of class atmosphere very much.

He could see that no student was in a daze in class.

Because everyone’s (Qian Nuo’s) eyes exude a thirst for knowledge.。

……

at the same time.

All teachers at Rainbow Island High School, Rainbow Island Junior High School, Rainbow Island Elementary School and other schools have felt the changes in their students.

Students learn quickly and study seriously.

The teachers naturally teach seriously.

The combination of the two creates an unparalleled classroom atmosphere.

In fact, what they don’t know is.

All schools in Rainbow Village have the blessings of “double the learning ability of the village” and “double the halo of teaching by famous teachers in the village”.

Under the blessing of halo.

Every student’s learning ability is much stronger than before.

Students can learn difficult knowledge points that are difficult to understand and can even draw inferences from one example.

The same goes for teachers.

Preaching, teaching, and solving doubts all have the function of sorting out one’s own knowledge and improving professional standards.

While they are teaching, their skills are also improving rapidly.

The combination of the two.

All schools in Rainbow Village have the best classroom education in the world.

Quietly, the students are progressing at an alarming rate.

over time.

The students’ foundation will change from weak to solid to strong, and even everyone can become a top student! .


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