Chapter 18 Is he really here for the exam?

Guo Maosheng was looking forward to it at this time, and half of his foot had entered the examination room.

Hearing Su Rui’s words, Guo Ruisheng retracted his foot in embarrassment, and had to call out the teachers to leave, and the examination room was considered quiet.

Another invigilator watched this scene, confused and confused. Are these teachers idle?

“Ms. Su, what’s the matter?” He asked Su Rui in a low voice.

Su Rui looked at the back of those teachers leaving, and sighed: “It’s nothing, let’s invigilate the exam seriously!”

She didn’t dare to say any more, and if she said any more, the teacher still didn’t know what moth was going to come out.

After speaking, she walked down and inspected, but in the end she always returned to Xu Cong’s body unwillingly.

Although Su Rui is a Chinese teacher, she is also a graduate student. Although mathematics is not her strong point, she still has confidence to let a graduate student look at high school mathematics.

Another invigilator saw this weird scene and couldn’t help but walked down.

He looked at Su Rui and asked in a low voice, “Mr. Su, you have been around him three or four times. Do you suspect this classmate is cheating?”

“Don’t worry! He can’t cheat, I’ll watch it all the way!”

After speaking, the two of them returned to the podium and talked in a low voice.

“At first, I saw that the pen in his hand was faster than the average classmate, and then the more I looked at it, the more I felt that this classmate was amazing.”

“Look at his state, where is this test? I feel like he is playing!”

“Others have their brows furrowed and frowning, but he’s fine, he can do it in one go without saying anything!”

“Looking at his answer, there is a sense of comfort inexplicably!”

“Teacher Su, do you know this student? This must be a student bully!”

“It would be great if it were my students!”

Su Rui also showed a happy smile on her face when she heard his approval.

This is my student!

She is proud!



She took a look at the time, and it was only half an hour after the exam.

At this time, many students had just finished the multiple-choice questions and entered the fill-in-the-blank questions, but Xu Cong had already solved the questions.

Given the proposition p: x ∈ R, such that x squared-2x + m <0, the proposition q: x²/(m+1)+y²/(2-m)=1 represents a hyperbola.

(1) Write the negative form of proposition p;

(2) If the proposition P is false and the proposition q is true, find the value range of the real number m.

After a while, the two teachers came down to make a tour again. Before they knew it, both of them walked up to Xu Cong, one on the left and one on the right.

They all stretched their necks, tilted their heads, and stared at Xu Cong's test paper.

Xu Cong ignored them and continued to write a pen to answer.

untie:

(1) Negative form of proposition p: -P: x∈R, all have x squared -2x+m≥0.

(2) From p to be false, that is, -P is true, so △=4-4m≤0, that is, m≥1;

If the proposition q is true, then (m+1)(2-m)<0, that is, m2;

So when P is false and q is true, m>2.

There is no extra word, and the answer is neat and tidy.

After Xu Cong finishes writing, look directly at the next question, which is a geometry question.

As shown in the figure, the triangular prism ABC-A₁B₁C₁, A₁A is perpendicular to the bottom surface ABC, and the length of each edge is equal. D, E, F are the midpoints of AB, BC, A₁C₁, respectively.

(1) Prove EF parallel plane A₁CD;

(2) Find the sine of the angle formed by the straight line BC and the plane A₁CD.

About a minute later, Xu Cong finished reading the question, then turned the pen, and started answering after a little thought.

untie:

(1) Connect ED, A1F is parallel to ED and A1F=ED, so A1FED is a parallelogram, so…

Xu Cong’s writing speed is very fast, without the slightest stagnation, and his problem-solving ideas are very clear.

Swish!

The two proctors looked dumbfounded at the speed of doing the questions.

“Wait……”

Su Rui subconsciously wanted to stop Xu Cong. She wanted to ask Xu Cong: Didn’t you think after reading the question? Do it as soon as you pick up the pen? Can you guarantee it?

But at this moment in Xu Cong’s mind, the whole test paper is nothing more than a primary school test paper for him.

Ha ha!

Do you need to think about how much one plus one equals? After reading the questions, the answers are ready to come out!

Xu Cong has finished reading the next question before Su Rui’s answer to the last question, and started to answer.

“this……!”

The two invigilators nearly dropped their jaws to the ground, and they looked at each other and fell stupid.

They hold their temper and keep watching!

The other classmates were also confused. How about the two invigilators who acted as door gods for that classmate?

Staring at an examinee motionlessly, as for?

The second question, when finding the sine value, Xu Cong wrote directly on the test paper: √5/5, which gave the answer directly.

Two invigilators, “???”

What the hell? Is this over?

They immediately reviewed the question, oh, it was for the sine value, then it was all right.

It turned out to find the sine value. No wonder I suddenly wrote such a score.

They began to comfort themselves, thinking: “Aren’t the sine values ​​almost the same?”

But it can’t be comforted at all!

Lie!

How can anyone give the answer directly?

Wrote an answer and it’s gone?

What about the process? Even if there is no process, you at least write and draw on the scratch paper sent by the teacher.

But you just gave a number directly, is this really right?

what! ——

The two invigilators wanted to stand side by side on the prairie, roaring helplessly like groundhogs.

Too disrespectful!

Too disrespect for the performance papers sent by the teachers!

Too disrespectful to the teachers in the paper group!

Especially the other invigilator, the corners of his eyes twitched fiercely and couldn’t stop twitching!

He was completely confused, and this student was too ruthless, and had completely conquered him.

What kind of scholar is this? I am too superficial. I withdrew my previous prejudice. This is obviously a study of God!

Just as the two invigilators were shocked, Xu Cong went to the next question.

Given that the ellipse x²/a²+y²/b²=1 (a>b>0) passes through the point (0, √3), the eccentricity is 1/2, and the left and right focal point ratio is F₁ (-c, 0), F₂(c, 0).

(1) Find the equation of the ellipse;

(2) If the straight line L: y=-(1/2) x+m intersects the ellipse at two points A and B, and intersects the circle with the diameter of F₁F₂ at two points C and D, and satisfies 丨AB丨/丨CD丨=5√3/4, find the equation of the straight line L.

After reading the question, Xu Cong immediately wrote to answer.

Su Rui regained consciousness suddenly, stopped staring at the previous question, and immediately looked at this question.

She has a strong heart and is impulsive. This question must be drawn and checked!

If you do it for her, she will pick up the performance paper and write and draw on it. Otherwise, who has such a strong spatial logic ability?

Without checking the calculation, can I make up the ellipses, points, and straight lines in the question in my brain?

But when her eyes fixed on Xu Cong’s pen tip, she was shocked again.

Uhhhhh…

The tip of the pen rubbed against the test paper and never stopped. Xu Cong didn’t bother to read the draft paper.

! ! !

The two teachers looked at each other, and they were messed up in the wind.

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