Wang Heng was a teacher at Baiyun High School.
Two years ago, he had been attracted by the benefits of White Cloud High School and came to teach at the school.
After arriving at White Cloud High School.
Wang Heng was very satisfied.
The school's hardware conditions were very good, and the campus construction was very beautiful.
The desks were all custom-made, and there was even a comfortable resting bed.
There were books, tea, and coffee in the faculty's home. It was artistic and petty.
The school provided the staff with a well-decorated apartment with all kinds of household appliances, which solved their worries.
There was a subway station next to the school, making it extremely convenient to get around.
The only thing that Wang Heng felt was a fly in the ointment was that the students of White Cloud High School were "terrible."
Poor did not refer to the students 'morals and character.
It was because the students were mainly from Qingyun Town, and their foundations were not as good as those from key high schools.
The students of the small town had average results.
Among all the students in the year, there was not a single seedling from Huaqing and Yan University!
If he was lucky.
A small number of students could get into university.
He had no choice.
The school had only been established for a short period of time, and the students they recruited were relatively ordinary.
What Wang Heng could do was to let as many students as possible get into university!
…
February 18th.
As usual, Wang Heng walked into the classroom of Grade 12 Class 3 and gave the students a math lesson.
He took out his textbook and said,"Before class, let me check your learning results for this week.”
As soon as he finished speaking.
Wang Heng picked up the chalk and scribbled on the blackboard.
Most of the classes in White Cloud High School were taught using multimedia-based teaching.
However, mathematics classes still used traditional blackboards.
He gave two questions.
The first question is, do you know f (x)=e? - ax and g (x) are equal to ax-life x and have the same minimum value.
1. Find the value of a.
2. Prove the existence of a straight line y=b, which has three different intersections with the two curves y=f (x) and y=g (x), and the abysses of the three intersections from left to right form an arithmetic progression.
For the second row, the height of the triangular prism was 1, and the top and bottom edges were 3 3 and 4 4 respectively. Then, the surface area of the outer sphere was ().
A，100π。
B，128π。
C，144π。
D，192π。
Answer the question and draw the formula.
Wang
Heng looked at the crowd and asked,""Who will answer the first question?"
Swoosh! Swoosh! Swoosh!
All the students raised their hands, wanting to answer the questions.
"Teacher, I know this question!”
"Teacher Wang, choose me, choose me!”
"Let me answer the questions, please!”
Seeing this, Wang Heng smiled.
He randomly picked a female student and handed her the chalk, indicating for her to answer the question.
"The second question, who's next?" Wang Heng asked.”
The students raised their hands at the same time.
He randomly picked a male student to answer the questions.
In a key high school.
These two questions were both difficult questions.
In an ordinary high school, there were even fewer people who could answer it.
Wang Heng didn't have much hope.
Unexpectedly, all the students raised their hands.
This surprised him.
Wang Heng looked at the blackboard, wanting to see if the students were making up the numbers.
The first female student on stage had a very clear train of thought.
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 a straight line y=b and two curves y=f (x) and y=g (x) with a total of three different intersections.
Let's set the horizontal coordinates of these three intersections as x1, x2, and x3.
e? 1-x1=e? 2-x2，e? 1-x1=x2-㏑x2，e? 2-x2=x3-㏑x3。
Note that e x=x, then x1= x2, and the same is true for x2= x3, which means e3 is equal to e? 2。
So x1 x3= life x2 e? 2, and 2x2= Life x 2e? 2, hence x1 x3=2x2, which was proof!
He saw the answer to the question.
Wang Heng nodded in satisfaction.
He turned his head and looked at the second boy.
The male student drew a figure on the blackboard and set it as A, A1, B, B1, O, O1, O2, C1, P.
A B is equal to 4 3=O2A=4; A1B1=3√3=O1A1=3。
Let the radius of the square triangular platform be R.
OO2=x, high O1 O 2 =1.
At RT? In OAO2, OA2 = O2A2 OOO22 =R2=16 x2…He
wrote down the formula line by line.
The male student found 4 Pi R2=100 Pi!
The student finished writing the last formula and put down the chalk.
He dusted the chalk off his hands and sat back down calmly.
…
Two questions came down.
Wang Heng nodded in satisfaction.
The two students answered correctly, and there were no mistakes in the steps.
"Students, how did you do it?" he asked. Did you work hard in private?"
As soon as he finished speaking.
"Teacher Wang, the college entrance examination is getting closer and closer," explained the math class representative.
This winter vacation, we have been reviewing math, and our results have improved very quickly.
After the new semester began.
We found that your math class was very exquisite, easy to understand, good at giving examples, and easy to understand.
After listening to the lecture, everyone felt that they had benefited a lot.
The questions that we didn't master before suddenly had the correct solution.
Ever since we were young, this was the first time we felt that mathematics was so simple!”
Hearing this.
The students present nodded in agreement.
Seeing this, Wang Heng was stunned and blushed.
He had been teaching for more than ten years, but he had never received such a high evaluation.
Wang Heng took a deep breath and said,"Students, mathematics is a very important subject.
The universe was big, the particles were small, the rockets were fast, the chemical engineering was clever, the earth changed, the mysteries of life, and the daily life was complicated. Mathematics was everywhere.
Aerospace, national defense, biomedicine, information, energy, ocean, artificial intelligence, and so on were all related to mathematics.
In China, mathematics was the mother of science.
I sincerely hope that you can learn mathematics well.
Whether it's the college entrance examination in a few months or your future life, you'll be dealing with mathematics.”
As soon as he finished speaking.
All the students in the class nodded solemnly.
During the winter break this year.
All of them were surprised to find that their learning ability had increased by many times.
Science, mathematics, physics.
History and geography in the liberal arts.
It was as if all subjects had opened a brand new door for them.
It became very easy to learn knowledge.
The students didn't know why it was like this. They simply thought that it was because they had accumulated a lot of experience.
Since then.
They worked even harder to learn knowledge and made rapid progress every day.
After working hard.
All of a sudden, the students realized how outstanding their teachers were.
The teachers of White Cloud High School were all great teachers hired with high salaries.
Their lectures were already of high standards.
After a while.
All the students of White Cloud High School seemed to have been reborn.
…
Next.
Wang Heng officially gave the students a math lesson.
He realized that every student was listening attentively to the lecture, immersed in the world of mathematics.
Wang Heng liked the atmosphere in class.
He could tell that no students in the classroom were daydreaming.
Everyone's eyes were filled with a thirst for knowledge.
…At
the same time.
All the teachers in White Cloud High School, White Cloud Art Studio, and White Cloud University could feel the changes in the students.
The students learned quickly and seriously.
The teachers naturally taught seriously.
The combination of the two had created an unparalleled classroom atmosphere.
In fact, what they did not know was…
White Cloud Studio, White Cloud High School, and White Cloud University all had the Double Learning Ability Halo and the Double Great Teacher Teaching Halo.
Under the enhancement of the halo.
Every student's learning ability was much stronger than before.
The students were able to grasp the difficult knowledge points and even draw inferences from them.
The teachers were the same.
Passing on knowledge, teaching, and answering questions had the function of sorting out one's own knowledge and improving one's professional level.
While they were teaching, their standards were also improving rapidly.
Under the combination of the two.
White Cloud Studio, White Cloud High School, and White Cloud University had the best classroom education in the world.
Silently, the students improved at an astonishing speed.
As time passed.
The students 'foundations would go from weak to solid, and then to solid. Everyone could even become a student overlord!
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