Lao Chen decided that if the two of them couldn't do this question, he would punish them for making a set of math test papers. The first is to punish them for desertion in class, and the second is to let them spend more time on their studies, and don't spend their minds on unrealistic things during the important high school period.

"Problem: Knowing that the straight line l and the parabola X=ay2 intersect at the point p and intersect with the x-axis at the point A, if the moving point M satisfies: AB•BM+2/5AM=0, and the moving point M travels through ax2+2/3y2=0"

"Find an expression for the point M."

Almost everyone is curious to put pen to paper, and then the next second they look at the ceiling and doubt their lives.

I'm especially sorry for the waste of nine years of compulsory teaching, and I can't understand the title!

But when Shen Yan faced this question, she already had a grasp of it, the name of Jiangcheng No. 1 Middle School was not covered in the city, not to mention that she was a top five scholar, which could be said to be the material for stabilizing Qingbei.

Last year's National High School Math Olympiad questions? I'm sorry, before she goes to bed, she will pick up the "One Hundred Lectures on the National High School Mathematics Olympiad Questions over the Years" on the bedside, browse it, and the answers and steps are already ripe.

The moment you see the question, you have already started to extract the answer.

When doing the question, she also glanced at Jiang Wen, in the mouth of her sister Shen Bingyan, Jiang Wen is a very talented student, and she is also Shen Bingyan's most proud protégé.

Shen Yan also wanted to take this opportunity to compete with her sister's proud protégé, she didn't believe that the eunuch dog who loves writing could be as powerful as her!

As for Jiang Wen, he has no experience and mind to do the national high school mathematics competition questions, so he usually buys some finale questions on the market.

Now, in the face of a new type of question, he can only start from the direction of the essence and cross the river by feeling the stones.

Jiang Wen didn't look at the solution steps of the standard answer when he did the questions in the past, but only looked at the final answer. If you get it right, then optimize the steps. If you make a mistake, go back and look at the definition in the textbook and the example problems taught in class, and slowly realize that you can do it.

In this way, you can still score 569 points in the test, ranking in the top 100 in your grade, and if you say it is good, you are a different kind of genius, and if you don't hear it, you are a stubborn stupid talent.

Obviously, Jiang Wen is not stupid, he knows that the non-standard answer can make him remember more firmly and use it more flexibly.

Thanks to this, in the face of this problem, he has already collapsed into three to five solutions in his mind.

1: Trigonometric function formula substitution, solve the equation, find the expression of the moving point.

2: Do the "maximum circle" method, and use the form of combining numbers and graphs to find the expression of the moving point.

3: Column equations, using the method of finding the minimum value with the reference derivative, classifying and discussing, and finding the expression of the moving point.

4：……

5：……

The more listed, the more methods, and in the end there are as many as eight theoretically feasible solutions.

Jiang Wen hesitated......

In his mental deduction, each method can solve the moving point expression, but he doesn't know which method is the fastest.

It's okay......

Not an exam......

You can take your time......

Jiang Wen casually picked the third one, the solution of the equation......

Start the step-by-step calculus......

"Tick tick~"

The second hand of the clock on the wall walked steadily, and forty minutes of a lesson had passed.

The students below stared dryly, scratched their ears and cheeks, thinking that if this question was on the monthly exam paper, they would be G directly.

12 points for nothing......

"It's done." At this time, when Shen Yan had already given the moving point expression, the others almost gave up, and they made two pages of scratch paper in a mess, but they couldn't solve the answer.

Shen Yan listed the lines of deduction formulas, the substitution and solution of equations, such as flowing clouds and water, and the silky steps of solving the problem, which seemed to be an art.

Lao Chen pushed his glasses, shrunk his neck, and stared at it for a long time.

He doesn't remember the answer, but he knows the ideas and steps, and he has to take a stroke to get the answer.

Because of his face, under the pretext of going to the bathroom, he went to the corridor outside the classroom, turned on his mobile phone and quietly read the answer.

Then compare the answer given by Shen Yan - (root number 2a3, root number 2/7).

Shen Yan's answer is right! There are differences in details from the standard answers, but the ideas are consistent with the standard answers.

Lao Chen felt that in this life, he had taught a genius girl.

When he returned to the classroom, he was about to approve of Shen Yan's solution and asked her to sit down and listen carefully without making small movements.

He found that Shen Yan's gaze had been on Jiang Wen!

Turtle tortoise!

Blatant!

This is the podium!

I can't tolerate you!

"Jiang Wen!" Lao Chen was reluctant to scold Shen Yan, so he naturally started with Jiang Wen.

"Huh? What's wrong? Jiang Wen was very innocent, stopped the chalk, and broke his train of thought like a shell.

"Teacher, don't bother him, I still want to see it." Shen Yan stared at Jiang Wen's steps on the blackboard, his eyes gradually becoming strange.

“？” Lao Chen couldn't bear it.

Jiang Wen gave Shen Yan some medicine, so that Shen Yan could say "I want to see him again", such bold words!

Have to...... Call the parents!

"Jiang Wen!" Lao Chen stepped onto the podium, and was about to train Jiang Wen, but when he saw the steps he wrote, his brows frowned, and he looked at the outline of the solution steps at first glance, and squinted carefully at the details with the second eye.

In the end, like Shen Yan, fell into a silent silence.

"What's wrong?" was called twice in a row, still very loudly, Jiang Wen was so frightened that his hands trembled, and he thought to himself, what happened?

Lao Chen's face suddenly turned ruddy, and he patted Jiang Wen's shoulder heavily: "Good job, keep writing!" Hahaha! ”

“…… Uh, thanks for the compliment. Jiang Wen felt inexplicable.

“…… Go on. Lao Chen encouraged, carefully scrutinizing Jiang Wen's thoughts in his heart.

Jiang Wen's thinking is like a sea of sand, first casting a net, and then accurately capturing.

First, determine the direction of solving the problem from the general direction, make up for what is missing, and push one on the spot for the offset formula of the extreme value point, and then use it.

And in the middle, despite the twists and turns, they can eventually turn back to the standard answer.

to the end.

"It's done." As the young boy's voice fell, Jiang Wen's answer was the same as Shen Yan's.

Lao Chen's eyes lit up, as if he saw himself in Jiang Wen.

At that time, he was also a fledgling child who loved mathematics, and he was so unrestrained and let go of doing problems.

It's as if it were yesterday.

Now, as a senior teacher, he has forgotten his original intention and began to pursue standard ideas.

Shame, shame.

Lao Chen wiped his glasses, looked at Jiang Wen, and nodded deeply twice.

This kid is kind of interesting!