When Yao Ruiyi said this, Guo Ruisheng awkwardly withdrew his foot and called the teachers away.
Only then did the examination hall become quiet.
The other invigilator looked at Yao Ruiyi in confusion.
"Teacher Yao, what happened?"
Yao Ruiyi said," Nothing! Invigilate seriously!"
She couldn't say anything else. If she did, she didn't know what this teacher would do.
Although Yao Ruiyi was a language teacher, she was still a graduate student.
Even though mathematics wasn't her strong suit, she was still confident that she could get a graduate student to look at high school mathematics questions.
After a round of inspection, her body would always return to Xu Heng's side.
Another invigilator said," Teacher Yao, you've been walking around him three to four times. Are you suspecting that this student is cheating?”
"Don't worry! He couldn't have cheated. I was watching the whole process!”
"At first, I saw that the pen in his hand was faster than the average student. After that, the more I looked at him, the more I felt that this student was extraordinary.”
"Look at his state. How is this an exam! It feels like a game!"
"Other people are frowning and frowning, but he's good. Not only is he at ease, but he also wants to do it in one go!”
"I feel inexplicably comfortable watching him answer the questions!”
"Teacher Yao, do you know this student? He must be a top student!"
"If only she were my student!”
Yao Ruiyi snickered!
This is my student!
She was proud!
He looked at the time. It had only been half an hour since the exam.
Many of the students had just finished their multiple-choice questions and entered the fill-in-the-blank questions.
However, Xu Heng had already answered the questions.
Given the proposition p: x E R such that x squared-2x m<0, the proposition q: The equation x squared/(m 1) y squared/(2-m)=1 represents a hyperbola.
(1) Write the negative form of p;
(2) If the proposition P is false and the proposition q is true, find the range of the real number m.
Unknowingly, the two invigilators walked to Xu Heng's side, one on the left and one on the right.
They all craned their necks and tilted their heads, staring at Xu Heng's test paper.
Xu Heng raised his brush.
Explanation:
(1) The negative form of proposition p:
-P: x = R, x squared-2x m = 0.
(2) Let p be false, that is, -P is true, so that =4- 4m <0, that is, m <1;
If the proposition q is true, then (m 1)(2-m)<0, that is, m<-1, or m>2;
Therefore, when P is false and Q is true, m>2.
There was not a single extra word!
After he finished writing, Xu Heng moved on to the next question.
As shown in the picture, the triangular prism was abc-a1b1c1, a1a was vertical to the base ABC, and the length of each edge was equal. D, E, and F were the midpoints of AB, bc1, and a1c1 respectively.
(1) Prove that the EF-parallel plane A1CD;
(2) Find the sine-value of the angle formed by the straight line BG and the plane A1CD.
Not even a minute had passed.
Xu Heng started to answer almost immediately after he finished reading the questions.
Explanation:
(1) Connecting ED, A1F is parallel to ED and A1F =ED, so A1FED is a quadrilateral, so…
……
Xu Heng wrote very quickly.
Swoosh! Swoosh! Swoosh!
The two invigilators were dumbfounded.
"Wait…"
Subconsciously, they wanted to stop Xu Heng. They really wanted to ask," Don't you think about it after reading the questions? Just lift a pen and do it? Can you guarantee that?
Haha!
Do you think one plus one equals to what? Do you need to think?
Didn't they all read the questions and the answers were obvious?
Yao Ruiyi hadn't finished reading the previous question, but Xu Heng had already finished reading the next question and started to answer it.
"This…!"
The two invigilators 'jaws almost fell to the ground. They looked at each other in shock.
Continue watching!
For the second question, Xu Heng wrote on the paper: (Square Root 5)/5 was a direct answer.
The two invigilators,"???"
What the hell?
They immediately examined the questions.
Oh, it's for the sine-value!
So it was to find the sine-value. No wonder he suddenly wrote such a score.
They began to console themselves." Isn't the sine-value similar to this?”
However, he could not comfort her at all!
Who are you lying to!
Who would give a direct answer?
He wrote an answer and it was gone?
What about the process?
Even if there was no process, you could at least write and draw on the parchment given by the teacher.
But you gave a number directly!
Ah!
The two invigilators really wanted to stand side by side on the prairie and roar helplessly like groundhogs.
How disrespectful!
He was too disrespectful to the papyrus that the teachers had distributed!
This was too disrespectful to the teachers of the test paper presentation team!
The corner of the other invigilator's eyes twitched!
He couldn't stop whipping!
He was completely dumbfounded.
This student was too ruthless!
What top student! I'm too shallow!
I take back my previous prejudice!
This was clearly a study god!
Just as the two invigilators were shocked, Xu Heng moved on to the next question.
It is known that the ellipses (x square)/(a square) (y square)/(b square)=1 (a>b>0) pass through the point (0, square root 3), the eccentricity is 1/2, and the left and right focal points are divided into F1 (-c, 0) and F2 (c, 0).
(1) Find the equation of the oval;
(2) If a straight line L: y=-(1/2) x m crosses an oval at two points A and B, and crosses a circle with diameter F1F2 at two points C and D, and it satisfies the equation of ? ADC ?/? CD ? =(5 square root 3)/4, find the equation of the straight line L.
After reading the questions, Xu Heng picked up his pen again.
Yao Ruiyi snapped out of her daze and immediately looked at the question.
She felt a strong urge in her heart.
This question definitely needed to be checked with a drawing!
If he gave her a job, she would immediately pick up the parchment and write on it.
Otherwise, who would have such strong spatial logic?
Without checking, he could fill in the ovals, points, and straight lines in the questions in his head?
However, when her gaze locked onto Xu Heng's pen tip.
唦唦唦……
The tip of the pen rubbed against the test paper without stopping.
……
！！！
I beg for support!
This book comes from：m.funovel.com。