Lu Shixian looked to answer the first question of the proof question.

"The known function f(x)=a?e-x+sx, a∈r, e is the base of natural logarithms."

"(1) When a=1, prove that: ?x∈(-∞,0], f(x)≥1."

"(2) If the function f(x) has two extreme points on (0,), find the value range of the real number a."

Lu Shixian looked at the score, and it was only 10 points. Isn't this a lie?

There is even no need to do calculations on scratch paper. Lu Shixian can calculate this kind of problem in his mind, and the process will basically come out.

It is easy to prove that f(x) decreases monotonically on (-∞, 0], so f(x)≥f(0)=1

Of course, this cannot be written on the answer sheet.

Anyway, it is to answer proof questions. The math teacher said that the problem-solving process is very important!

Lu Shixian can guarantee that if the first question is not for the thigh of answering the question, it will not even be as good as the fill-in-the-blank question.

He then looked at Second Xiaowen.

Well, overestimated, not much better than the first question.

A question with a very simple idea is that the person who wrote the test asked you to write a few more steps in a very malicious way.

Through the extreme points, the monotonic interval is deduced step by step.

Finally, the value range of the real number a is proved by the monotone interval.

There is no amount of calculation, it is all about writing ideas.

That's it?

So he couldn't help but sneak a peek at the finale in advance.

I go!

I only saw that the title is: Suppose a function defined on r (where ∈r, i=0,1,2,3,4), when x= -1, f (x) obtains the maximum value, and the function y The image of =f (x+1) is symmetrical about the point (-1, 0).

(1) Find the expression of f (x);

(2) Try to find two points on the image of the function f (x), so that the tangent lines of these two points are perpendicular to each other, and the abscissas of the tangent points are all on the interval;

At this time, Lu Shixian's heart was cold and cold.

What should I do?

Even the big math problems began to give points for bad performance.

Lu Shixian suddenly missed Master Ge a little bit. It is not a perfect college entrance examination without experiencing Master Ge.

Half an hour later, Lu Shixian stared blankly at the answer sheet that had already been written by himself, feeling a little dull suddenly.

It seems to have come to the time of the sages.

I was once lost and disappointed and lost all directions until I saw that ordinary is the only answer.

All right!

Destroy it, I'm tired.

Of course, keep it simple and get full marks is the real skill.

This is not the time to take grades in junior high school, every point counts.

Lu Shixian quickly adjusted his mentality and checked carefully two or three times from beginning to end.

There seems to be no problem.

When it was time, Lu Shixian left the examination room half an hour earlier.

This time, Lu Shixian did not leave so fast, and planned to let other students who handed in their papers ahead of time leave the school first.

No one will come to gank him halfway this time, right?

Unexpectedly, I saw no one along the way.

This is absolutely impossible!

He thought of the bosses of Jinlin class, they haven't finished it yet, can't they?

This has to wait until the end of time?

Although I can understand it in my heart, this is too salty!

So, he looked at the microphone in front of him and wanted to cry.

But this time, the reporter has changed, and I don't know which media it is from.

A reporter: "This classmate, the math test just now, is it difficult? Is there any question to complain about?"

Lu Shixian touched his head, how should he answer this?

Forget it, it's better not to complain about the person who made the question, but also to advertise for the school, which is perfect.

So he said to the camera: "You see that I carried my schoolbag in advance, don't you understand?"

"We Jinling No. 1 middle school candidates should not have difficult college entrance examination papers."

"Everyone who knows the Jinlin class should be aware of this. In fact, to be honest, most of the people in it should have finished it long ago. They just felt that this might be a panic, so they didn't dare to come out."

"It's useless to stay half an hour longer, we just need to be the best of ourselves in the limited time."

As soon as this remark came out, the reporter was dumbfounded, but the parents behind laughed.

After Lu Shixian returned to the dormitory, he simply relaxed and went to sleep to prepare for tomorrow's exam.

On June 8, at nine o'clock sharp.

The science (arts) synthesis that people love and hate has begun.

Of course, if Lu Shixian took the comprehensive examination of science, it would explode if it was comprehensive in literature.

Speaking of it, the 2008 Lizong was somewhat unfair to biology.

The total score is 300 points, and there are three subjects in Physics, Chemistry and Biology.

But physics has 110 points alone, while biology has only 90 points, which can't even reach the average level of 100 points.

Lu Shixian said it was hard.

He can score 90 points not because he can only test 90 points, but because there are only 90 points on the test paper.

But he can't change the environment, so he can only change himself.

After writing the name, Lu Shixian went straight to the biological part.

At a glance, it's all pediatrics.

Anyway, let's get the 90-point sub-questions first.

In less than 20 minutes, Lu Shixian took down the creature and took everything from her.

Next, let's do physics first.

Lu Shixian remembered that the last time a big chemistry test was deducted, he held a grudge.

Don't worry, just let her wait.

Look to the physics part.

"The mass of an object a is 1 kg, placed on a level ground, the coefficient of kinetic friction between the object and the ground is μ = 02, starting from t = 0, when the object slides to the right with a certain initial velocity v0, it is subjected to a horizontal force to the left The effect of constant force f=1 n, so the image that can reflect the change of friction force ft on the object with time is the one in the figure (the right direction is the positive direction, g=10/s2)

Lu Shixian has been unable to complain, it seems that physics can never avoid friction.

Since Newton's three laws were discovered, friction is like a candy that cannot be shaken off, and it exists everywhere.

Well, rub rub, rub together on this smooth floor.

In fact, after clarifying the nature and type of friction in this question, there is no difficulty.

At the beginning, the direction of sliding friction is opposite to the direction of velocity, that is, horizontally to the left. When the velocity of the object decreases to zero, the object will experience static friction to the right because the object is subjected to a constant force to the left.

If the right direction is positive, so it is -2n first, then 1n.

The so-called comparison of pictures and texts shows that the answer is obvious. Lu Shixian filled in a in brackets.

However, not all roads are as smooth as this, and he finally meets an obstacle.

It is actually the familiar uniform electromagnetic and U-shaped

Well, Lu Shixian chose to switch directly to the chemistry part.

Finally, after spending an hour and a half, Lu Shixian carefully checked all the questions that must be scored.

Then, he looked at some places where he could score.

As for the empty topic, it is a peak that he cannot reach and climb.

sorry! I really can't help it.

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