Rebirth: My Family Is 100 Million Points Strong!

Wang Heng is a teacher at White Cloud High School.

In the first two years, he was attracted by the benefits of White Cloud High School and came to the school to teach.

After coming to White Cloud High School.

Wang Heng is very satisfied.

The hardware conditions of the school are very good, and the campus building is very beautiful.

The desks are all specially customized, and they 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 well-decorated apartment provided by the school to the faculty and staff is fully equipped with home appliances, which solves their worries.

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

The only fly in the ointment that Wang Heng feels is that the students of White Cloud High School are relatively "bad".

Poor does not refer to the ethos and character of the students.

But the students are mainly from Qingyun Town, and the foundation is not as good as the students of key high schools.

Small town students with average grades.

Among the students of all grades, there is not a single seedling of Huaqing Yanda University!

With any luck.

A small number of students can be admitted to university.

no way.

The school has been established for a short time, and the number of students it recruits is relatively average.

What Wang Heng can do is to let as many students as possible be admitted to university!

February 18.

As usual, Wang Heng walked into the classroom of Class 3 (3) of senior high school to give mathematics lessons to the students.

He took out the textbook and said, "Before class, let me check your learning results this week."

The voice fell.

Wang Heng picked up the chalk and wrote the title on the blackboard.

Most of the courses in White Cloud High School use multimedia teaching.

But mathematics courses still use the traditional blackboard.

He asked two questions.

In the first way, it is known that f(x)=e?-ax and g(x) equal to ax-lnx have the same minimum value.

1, Find the value of a.

2. Prove that there is a straight line y=b, which has three different intersections with the two curves y=f(x) and y=g(x), and the abscissas of the three intersections from left to right form an arithmetic sequence .

In the second way, the height of the regular triangular prism is 1, and the upper and lower bases are 3V3 and 4V4 respectively, so the surface area of ​​the circumscribed sphere is ( ).

A, 100 yuan.

B, 128 yuan.

C, 144 yuan.

D.192 yuan.

Answer the questions and draw the formula.

Wang Heng looked at the audience and asked, "The first question, who will come?"

Brush, brush, brush!

The students all raised their hands and wanted to answer the question.

"Teacher, I can answer this question!"

"Teacher Wang, choose me, choose me!"

"Let me answer the question, please!"

Seeing this, Wang Heng smiled.

He randomly selected a female student, handed her the chalk, and signaled to answer the question.

Wang Heng asked again: "Second question, who will come?"

The students raised their hands at the same time.

He randomly selected a male student and came to the stage to answer the questions.

In key high schools.

These two questions belong to the difficult question type.

In Common High, even fewer can be answered.

Wang Heng originally had no expectations.

Unexpectedly, all the students raised their hands.

This made him quite surprised.

Wang Heng looked at the blackboard, wanting to see if the students were playing tricks.

Seeing the first female student on stage, her thinking was very clear.

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

Knowing from (1) that there is an intersection between f(x) and g(x), there must be three different intersection points between a straight line y=b and two curves y=f(x) and y=g(x).

May wish to set the abscissa of these three intersections as x1, x2, x3.

e?1-x1=e?2-x2, e?1-x1=x2-Inx2, e?2x2=x3Inx3.

Note that enx=x, then x1=Inx2, and similarly x2=Inx3, that is, e3 is equal to e?2.

So x1+x3=Inx2+e?2, and 2x2=Inx+2e?2, so x1+x3=2x2, that is proof!

See the answer to the question.

Wang Heng nodded in 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, Ol, O2, C1, P.

AB is equal to 4V3=O2A=4; A1B1=3/3=O1A1=3.

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

002=x, high O1O2=1.

In RT?OAO2, DA2=02A2+①①22=R2=16+x2...

Write down the formula line by line.

The male student finds 4R2=100 yuan!

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

He patted the chalk foam on his hands, and sat back in his seat calmly.

Two questions down.

Wang Heng nodded in satisfaction.

The two students answered correctly, and there were no mistakes in the steps of solving the problem.

He couldn't help asking: "Students, how did you do it? Did you work hard in private?"

The voice fell.

The math class representative explained: "Mr. Wang, the college entrance examination is getting closer.

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

After the start of the new semester.

We found that the math class you taught is very subtle, easy to understand, good at giving examples, and easy to understand.

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

We didn't master the question types before, and we immediately had the correct problem-solving ideas.

For the first time since childhood, we feel that mathematics is so simple!"

hear this.

The students present nodded one after another, expressing their support.

Seeing this, Wang Heng was taken aback, blushing a little.

He has been teaching for more than ten years, but he has never received such a high evaluation.

Wang Heng took a deep breath and said in a concentrated voice: "Students, the subject of mathematics is very important.

The size of the universe, the size of particles, the speed of rockets, the ingenuity of chemical engineering, the changes of the earth, the mysteries of biology, the complexity of daily use, mathematics is everywhere.

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

In Xiaguo, mathematics is the mother of science.

The teacher hopes from the bottom of his heart that you can learn mathematics well.

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

The voice 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 was many times stronger.

Mathematics of science.

History and Lands of the Liberal Arts.

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

It is very easy to learn knowledge.

The students didn't know why this happened, they just thought it was accumulation.

Since then.

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

After serious effort.

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

The 797 teachers at White Cloud High School are all famous teachers hired with high salaries.

Their lectures are of a very high level.

Back and forth.

All the students of White Cloud High School seem to be "reborn".

next.

Wang Heng officially gave mathematics lessons to the students.

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

Wang Heng likes the class atmosphere very much.

He could see that there were no students in a daze in the classroom.

Because in everyone's eyes, there is a thirst for knowledge.

at the same time.

All teachers at White Cloud High School, White Cloud Studio, and White Cloud University are feeling the change in their students.

Students learn fast and study hard.

The teachers naturally teach seriously.

The combination of the two creates an unparalleled classroom atmosphere.

Actually, what they don't know is.

White Cloud Studio, White Cloud High School, and White Cloud University all have the blessings of "double the aura of learning ability" and "double the aura of teaching by famous teachers".

Under the blessing of the halo.

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

Those difficult knowledge points that are difficult to understand can be mastered by students, and they can even learn by analogy.

The same goes for teachers.

Preaching, teaching, and dispelling doubts all have the function of sorting out one's own knowledge and improving one's professional level.

While they are teaching, their level is also improving rapidly.

Under the combination of the two.

White Cloud Studio, White Cloud High School, and White Cloud University have the best classroom education in the world.

Quietly, the students progressed at an astonishing speed.

over time.

The foundation of the students will change from weak to solid, and then to strong, and even everyone can become a student-level existence!.