Xueba, I beg you to go and escort him quickly!

What a master!I'm so superficial!

I take back my previous prejudices!

This is obviously a god of learning!

While the two invigilators were shocked, Xu Heng moved on to the next question.

It is known that the ellipse (x square)/(a square)+(y square)/(b square)=1 (a>b>0) passes through the point (0, square root 3), the eccentricity is 1/2, left, The right focus ratio is F1 (-c, 0), F2 (c, 0).

(1) Find the equation of the ellipse;

（2）若直线L：y=-（1/2）x+m与椭圆交于A,B两点，与以F1F2为直径的圆交于C，D两点，且满足丨AB丨/丨CD丨=（5根号3）/4，求直线L的方程.

After reading the questions, Xu Heng took up his pen again.

Yao Ruiyi snapped back to her senses, and immediately looked at the topic.

She has a strong heart and an impulse.

This question must be checked by drawing a picture!

Do it for her, she will immediately pick up the straw paper and write and draw on it.

Otherwise, who has such a strong spatial logic ability?

Without checking, you can make up the ellipse, point, and straight line in the question in your mind?

But when her eyes locked onto Xu Heng's pen tip.

唦 唦 唦...

The friction between the pen tip and the test paper never stopped.

……

!!!

PS: Thank you [Shenhaobai] for your reward!

Kneeling for support!

Ask for flowers!Ask for an evaluation ticket!Ask for a reward!Ask for a monthly pass!Ask for a comment! .

Chapter 20

solution:

(1) According to the meaning of the question, b=equal sign 3

And the eccentricity e=(under the square root (a square-b square))/a=1/2, so a=2

So the equation of the ellipse is x squared/4+y squared/3=1

(2) set...

……

When the word "jie" is written, it means that there is no turning back.

Xu Heng's answer, like flowing water, was done in one go.

Yao Ruiyi couldn't even keep up.

He writes so fast!

Regardless of whether it is correct or not, she can no longer understand it anyway!

What is known and obtained, what is the vertical theorem, anyway, in the end, Xu Heng gave a final answer.

It's only been 5 minutes!

Simply not human!

Yao Ruiyi invited another invigilator aside, "Teacher, if it were you, would you be able to do it so quickly?"

He immediately shook his head, "Are you kidding me!"

"Watching him do the questions, he basically knows it by heart! After reading the questions, he will give the correct answer! Hiss...it's scary."

Yao Ruiyi frowned, "Correct answer?"

"Oh, I forgot to tell you, I teach mathematics in the third year of high school!"

Yao Ruiyi, "!!!"

Yao Ruiyi, "So, what he did was right?!"

Not only fast!

And it's still correct!

The invigilator nodded solemnly.

Nima!

I am Nima!

Yao Ruiyi is a lady, but no lady can find a more elegant word to describe her shock at this moment.

"It's really not human!"

The invigilator said, "Teacher Yao, don't say that! Are you cursing?"

"Here……"

The two returned to Xu Heng's side and looked down.

Xu Heng is already working on the next question.

This is a graphics problem.

There are proofs, and there are also proofs for the sine value.

After Xu Heng finished the proof, he began to calculate the sine of the plane angle required by the topic.

Swish swish!

Done!

He looked up at the timetable hanging on the wall.

Slightly taken aback, he murmured, "Why does time pass so slowly?"

slow!

Obviously, you kid did it too fast!

Yao Ruiyi couldn't help but want to complain.

Xu Heng lowered his head, looked at the question, "Hiss..."

He gasped.

Yao Ruiyi's first reaction was, "Wrong?"

But before she could react, Xu Heng actually slowly wrote three words "Method 2" in the blank space of this question!

Method 2!

You even have an algorithm! ! !

Be yourself!

Please be yourself!

Others don’t have enough time for exams, yet you still want to study the second algorithm!

The invigilator who taught mathematics in the third year of high school had protruding eyeballs, and they were about to stare out.

He looked at Xu Heng's method 2, his head was buzzing.

These are two completely different solutions!

The opposite is true!

But the final answer is exactly the same.

He compared these two problem-solving ideas carefully, and they were both right!

All correct!

!!!

This student is too good!

There is no doubt that he is a god of learning!

He should be walked!

He shouldn't be buried in our Spruce High School!

He stared at the name on the test paper.

Xu Heng!

His name is Xu Heng!

Class 3, Grade [-]!

I remember!

I remember this student, oh no, I remember this student!

After Xu Heng had written all the two solutions, he flipped through the test paper.

"Huh..."

A strange modal particle.

At the same time, there was a look of relief on his face.

Yao Ruiyi looked puzzled, "???"

Xu Heng murmured to himself, "Fortunately, there is one more question, so I won't have to wait more than an hour to hand in the paper in advance."

puff-

Xu Heng's words were like a deep-water torpedo, detonating on the spot!

There was a huge wave in the hearts of Yao Ruiyi and another invigilator!

They didn't dare to watch Xu Heng answer the questions anymore.

Quietly leaving, they looked at the other students.

One by one is either scratching their hair, or biting the end of their pens, racking their brains to think about how to do the topic.

But they just did the first proof question!

There are more difficult things to come!

A piece of straw paper!

Two playing straw paper!

Three play toilet paper!

They all used three sheets of straw paper!

Anyway, the front side is full!

"This……"

It's not that the two invigilators look down on people, it's that Xu Heng is too cruel!

Yao Ruiyi cast her eyes on No.1 in Chinese in the next class. Her math is not bad either. She is the top three in the class, and she only managed half of the test paper.

Playing the papyrus is also densely written.

Yao Ruiyi couldn't help shaking her head.

She has seen the horror of Xu Heng, and looking at other students, she thinks they are scumbags.

Even this one with very good grades, she lacks interest.