The first problem is to prove the existence of inequality given the range of values ​​of x.

Lu Shixian used the theorem of average inequality to directly transform this inequality into a formula under the same root sign.

Finally, the formula increases monotonically in the range of x values.

So the inequality holds.

It's okay, Lu Shixian calmed down and started to read the next question.

This question is the content of analytic geometry. In the Cartesian coordinate system, three coordinate points are given. The distance from point p to one of the line segments is the proportional median term to the other two line segments. Find the trajectory equation of p.

The third question, there is a circumscribed circle in an obtuse triangle, and the necessary and sufficient condition to prove that the three line segments are the three heights of this triangle is a certain formula.

Lu Shixian quickly had an idea, and quickly calculated the proof answers to the last two questions on the draft paper.

No way? Could it be that I misunderstood, it shouldn't be so simple, right?

But he couldn't see what was wrong with his thinking. Is this the entrance exam?

He thought about it left and right, and finally wrote the process on the draft paper on the test paper.

Lu Shixian couldn't help but look around at the contestants who were answering the questions, and they were still writing, none of them finished ahead of time.

What does this mean? Could it be that I am too powerful?

Until the end of the exam, Lu Shixian was still in a state of confusion.

While walking on the collection road, he was still thinking about what went wrong.

Because it's done so smoothly, it's definitely not normal.

If it was another subject, he wouldn't have this feeling, but this is mathematics, and he didn't dare to belittle it.

After meeting with Jinling No. 1 High School's math team, Lu Shixian could keenly notice that three of them had ugly faces.

Lu Shixian didn't dare to say anything, and he didn't dare to ask about the exam in the morning.

I can only go to dinner with full of doubts, and then quietly wait for the announcement of the results in the afternoon.

As soon as the exam in the morning was over, the Mathematical Society of Suzhou Province immediately started the complicated marking work.

In this way, the score line can be drawn immediately in the afternoon, so as to determine the places to participate in the second test of the rematch.

There was no time to eat, and the entire Mathematical Society began to work busily.

Municipal competitions can also be corrected by other personnel, but in the league, all corrections must be completed by the marking teacher.

Although the amount of corrections is large, it can't stand the crowd.

Soon at 1:30 in the afternoon, all the results were basically summed up.

At this time, all the marking teachers gathered together and worked hard for a noon, just to see the moment of the results.

"I won't talk about the normal difficulty of other questions, but this time I estimate that many people will fall into the last question. This trap is relatively hidden. If you only consider the situation of plane geometry, you can only get one-third of it." score, and the situation of solid geometry needs to be considered.”

"This year's topic is indeed a bit more focused on geometry, and now io likes to come up with this type of topic, and the above is starting to consciously approach the field of geometry."

"It is estimated that there are not as many full marks this time as last time."

Several marking teachers talked to each other, and the chat was heated.

At 2:30 in the afternoon, all the contestants gathered together.

In a large open-air playground of Jinling University, staff from the Provincial Mathematical Society have arranged the venue.

Because the Mathematics Society is basically engaged in technology, so there is no nonsense to talk about, and we will go straight to the topic.

Everyone in Jinling No. 1 Middle School stood together, anxiously waiting for the announcement of the results.

"I know I'm a bit cold this time. With so many geometry questions, I've done so many algebra questions in vain." Li Ruhai felt quite self-defeating.

"Who says no? Regardless of whether I can enter the semi-finals or not, I just want to get a provincial first grade. Then I will have the confidence to recommend to Jinling University." The third-year senior said with hope.

The rest of the team did not speak, but some nervous expressions could be seen on their faces.

While the students below were still whispering, the vice president of the society took the microphone and began to announce the score line for this time.

"According to the results collected in the league's preliminary competition, we have set the score line for the first prize, second prize, and third prize, as well as the score line for entering the semi-finals."

"The score line for the third prize is greater than or equal to 60 points and less than 75 points. Due to the large number of students who won the third prize, please move to the front desk to check the display screen later. If you have any objections, please report to the competition committee.

"The score line for the second prize is greater than or equal to 75 points and less than 100 points. The contestants who won the second prize in the 2007 Suzhou Mathematical League include Zhang Li from the Municipal High School with 99 points, Li Yibin from the Municipal High School, and Confucianism from the Municipal No. 1 Middle School Huang Zhongsheng, City No. 1 Middle School, 92 points, 78 points”

The announcement of the second prize instantly sparked heated discussions, and the Jinling No. 1 Middle School team was full of joy and sadness.

Naturally, Huang Zhongsheng is the one who likes it. He won the second provincial silver medal just after joining the math team, which is a great encouragement to him.

But it was a blow to Cheng Ruwen, who was already in the third year of high school. He wanted to be admitted to Jinling University. He could only be sure if he got the provincial first grade and other awards.

But now his mentality is a bit broken, a grown boy is crying like a child.

People in the competition team began to comfort him.

To be honest, Lu Shixian is also playing a bit of a drum now. The scores of so many people are between 80 and 90, which shows that they have lost a lot of points.

Then wouldn't he be tricked?

According to his feedback when he was doing the questions, the air force should be unlikely, and the previous questions had a score of more than 70.

And now there is no self in the second prize announced, which means that there is a high probability that he will be the third prize.

Not sure if it's disappointment or what? Lu Shixian's expectation for himself was to come here to mix medals.

Just walking around, you can get a provincial award, which is still earned by yourself, Lu Shixian comforted himself in his heart.

Soon, the vice president began to read the score line for the first prize, which was the topic that everyone was most concerned about. By this time, the entire playground had instantly quieted down, only the whistling wind whispered in his ears.

"The score line for the first prize is greater than or equal to 100 points. The first prize winners are Zhou Yiming from the Municipal High School with 120 points, Chen Fengze from the Municipal High School from 120, Wu Shuang from the Municipal High School from 118 points, Shen Ran from the Municipal High School from 116, and Wang Qian from the Municipal No. 1 High School from 115."

When reading this, someone in Jinling No. 1 Middle School jumped up happily, because Wang Qian was the senior who comforted Lu Shixian before, and she was also the captain of the Jinling No. 1 Middle School Mathematics Team.

"Captain, with this result, you will definitely enter the semi-finals. It's too good." Huang Zhongwen said happily.

In order to take care of other people's emotions, Wang Qian didn't speak, but she couldn't hide the joy on her brows.

But Lu Shixian didn't have time to care about what they were talking about, the list that the vice president was reading now kept echoing in his ears.

Although he had a premonition that there was a high probability that he would save three, but it was not the last moment, who knew the ending?

Tap the screen to use advanced tools Tip: You can use left and right keyboard keys to browse between chapters.

You'll Also Like