Chapter 215 Provincial Team (1)

A quarter of an hour later.

12 students were brought into the examination room.

The examination room for the semi-finals was arranged in a spacious and bright conference room, with a large space. At the moment, there were only 12 tables and chairs, and the distance between each student was far away, which seemed a bit empty.

As early as in the lounge, a teacher announced the rematch rules for them.

There are four questions in the exam paper to be distributed, the first two questions are worth 40 points each, and the last two questions are worth 50 points each, for a total of 180 points.

Candidates can use any argument and formula to solve or prove the proposition, and the answering time is 150 minutes.

The final ranking of the semi-finals is directly based on the score on the paper. The top six will enter the provincial team and prepare for the national final.

Five minutes before the start of the test, the invigilator unsealed the test bag, and then handed out the test paper, answer sheet, and draft paper.

Candidates are not allowed to pick up their pens to answer the test before the bell rings.

After Song Ranran got the paper, she quickly glanced at it.

There is only one test paper, with four questions written on it, but the answer sheet given has a full six pages, with no question number and no delimited answer range, it is all blank——

It means that it depends entirely on the students themselves.

Write as much as you can.

In addition, there are several draft papers distributed. If there is really not enough writing, candidates can also raise their hands and ask the invigilator to apply for more.

The four questions involve geometrical algebraic number theory and focus on examining students' thinking ability.

The first question is the geometry question. Song Ranran looked at it for a while, her eyes moved slightly, and her expression was a little surprised, but it quickly faded away.

If the geometry of last year was a dazzling and suffocating savage growth pattern of circles intersecting several circles, circles circumscribed and triangles inscribed, and countless straight lines combined, then this year’s paper is a rare one. Minimalist style".

There is only one triangle inscribed in the circle and one line intersecting it.

Prove that DE and DF pass through the apocenter and incenter of the triangle respectively.

It seems... not that difficult.

But it only looks.

How to be logical and self-consistent, and to obtain a perfect proof is the place where the examinee's level can really be seen.

Song Ranran watched it for 10 minutes, and now he was trying to deduce it in his mind. After he had some ideas, he took the draft paper and wrote down the place he just thought of, and slowly filled it in.

The students who can enter the league semi-finals are all capable. Even if they feel the difficulty of the questions, no one behaves badly.

The problem-solving time passed by every minute and every second. The invigilator on the stage glanced at the candidates below, and the corners of his mouth slightly raised.

The chief examiner in the examination room is the president of the Provincial Mathematics Association. He has organized many league test questions and is quite experienced in writing questions.

During the competition last year, many students complained on the Internet as soon as they left the examination room. The answer is extremely concise, which is very inconsistent with the style of the reference answer, but it is still correct.

The examinee, as if looking for a bug, made a hypothesis in an unexpected way among the complicated lines, and completed the proof with almost no effort.

President of the Mathematics Association: ...

Dude, wasting effort.

In short, for this year's questions, the chairman must let this group of students feel the "charm" of mathematics.

Don't like complexity, do you?Let's keep it simple.

The chief examiner had a subtle smile on his mouth, and walked around the examination room from time to time to watch the students' answers.

His footsteps were very light, and most of the people were concentrating on their thoughts, so he didn't attract attention.

Looking left and right, he suddenly stopped beside Song Ranran, looking at her answer sheet, as if interested.

 The competition process clearly refers to some links of the high school Mathematical Olympiad competition and I have played a little bit myself. Please don't be particular, I love you!

  
 
(End of this chapter)

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