Chapter 105: Fierce Competition

This discordant voice suddenly broke the original atmosphere in this area, but Chen Qiuming did not stop his students, because in his opinion, the smell of gunpowder at this moment can make this Olympiad more exciting.

Zheng Binxi was originally a character who did not fight or grab, but when she saw someone questioning Sun Mohan, she didn't know what was going on, so she suddenly sneered, but this action was very hidden.

Sun Mohan didn't take this sentence seriously, and continued to chat with Xia Qiuyu about the previous things.

About ten minutes later, the opening ceremony of the "Xueersi" Cup Olympiad began, the organizer read out the theme and essence of the Olympiad, and then the players who participated in the Olympiad received their respective numbers.

Just like a normal exam, more than 80 contestants were divided into three classes and entered a classroom each, followed by the distribution of test papers and the invigilation of the exam.

Sun Mohan, Zheng Hanxi, and Xia Qiuyu are in three different classrooms.

After Zheng Binxi picked up the test paper, after scanning the first side, she couldn't help but be a little surprised, because the first side of the test question seemed very simple to her.

Looking at the second side, Zheng Huanxi couldn't help frowning again, especially the last two answer questions, which made her feel a little distracted, because she had never encountered these two question types.

Zheng Binxi can be said to be a frequent participant in the Olympiad among these contestants, she has participated in two sessions, and won the championship in one session.

It stands to reason that although the question types of the previous Olympiads are different, the general direction is still the same, but why are the last two questions of this Olympiad so strange?

Xia Qiuyu in the first classroom on the right couldn't help but be stunned after seeing the last two questions, if people who don't know why see these two questions, they will think that they are very simple, but if you take a closer look, it is not so simple.

Wu Linli pointed to the last two questions and said: "The questions this time are a bit strange, the front is very simple, but the last two questions seem to be obviously beyond the scope of the primary school, what does the organizer think." ”

Chen Qiuming said: "Even I have to spend a lot of time to interpret these two questions, especially the last question, and students have to list three solutions, in such a short period of time, let alone three solutions, one is also very difficult." ”

Lin Rui said thoughtfully: "In my opinion, the organizer's idea of this question is very interesting, in fact, there are very few people who can answer the last two questions, and the key may be that some students will have some wonderful ideas, this idea may be the key to getting scores, and the previous questions seem simple, but the simpler it is, the easier it is to make mistakes, which will test whether the students are careful." ”

Wu Linli nodded and said: "Indeed, there seem to be some misleading factors deliberately set up in the previous questions, and it is estimated that many students will lose points." ”

Chen Qiuming looked at the last question and said with more and more interest: "Lao Wu, Lao Lin, how should you solve the last question when you look at it, or the three of us will solve it separately and see if we can come up with three different solutions?"

All three were math fans, and Chen Qiuming's suggestion was quickly adopted, so the three began to solve the problem.

The title of this last question is as follows:

There are two types of bricks (type A and type B) with 3 and 4 blocks, and the rectangular plane (no overlap) of (2m-1)× (2n-1) is covered with these two types of bricks, and m,n>4 is known, and the minimum number of bricks is needed.

Name at least three solutions!

To tell the truth, this problem is indeed beyond the scope of primary school mathematics knowledge, and it is difficult for even a primary school mathematics teacher to come up with three solutions in a short period of time, but this is the mystery of the Olympiad problem.

The mathematical thinking that is intertwined in the minds of true mathematical geniuses does not simply appear in the realm of so-called knowledge, just as some very young people can invent things that are difficult for inventors to invent.

In fact, this question is aimed at the student's mathematical thinking, and the questioner does not care whether the student can solve the problem, he wants your problem-solving thinking.

Sun Mohan spent an hour completing the previous questions, and now there are only the last two questions left.

Although he is a child with a twenty-year-old brain, although he was also highly accomplished in mathematics in his previous life, he couldn't help frowning at this time when facing the last question.

Sun Mohan, who has never used scratch paper much, began to write on scratch paper at this moment, and this writing took half an hour.

The three math teachers in the teacher's seat outside the invigilation have each completed their own problem solving, and the three of them spread out the problem solving process and compared it, although the answer is the same, but Lin Rui and Chen Qiuming's solution is the same.

Although Wu Linli provided another solution, the three of them only came up with two solutions in total.

The rest of the time, the three of them pondered for a while, and Lin Rui suddenly said: "I thought of it, there is another solution." ”

In the next second, Lin Rui began to explain his thoughts, and the other two suddenly realized that the three of them had finally come up with three solutions, which not only took about forty minutes, but also the three of them worked together to complete.

Wu Linli said with some tears and laughter: "If I guessed correctly, the person who asked the question this time is likely to be Mr. Bobo." ”

Chen Qiuming said: "Yes, only the old man can come up with this kind of question, this is not only to test students, but also to test us." ”

Lin Rui smiled: "You two talk carefully, don't forget how the old man cleaned you up when he was in college." ”

This old man Bobo was a professor at J City University and a teacher of Wu Linli and the three of them, and he just became a consultant for the Olympiad this year, and this last question is indeed from him.

Chen Qiuming asked Lin Rui: "In your opinion, do you think your student Xia Qiuyu can come up with a way to solve this problem?"

Lin Rui pondered for a moment and said: "Xia Qiuyu's mathematical thinking seems to me to be an anti-heaven existence, but the difficulty of this problem is beyond the scope of her thinking, I think it is difficult, at most I can come up with a solution." ”

"What about the two students you brought?" Lin Rui asked rhetorically.

Chen Qiuming sighed and said: "The mathematical thinking of my two students can only be regarded as decent, and I dare to guarantee that they will not lose points in the previous questions, but the last question is difficult!"

"What will Zheng Hanxi and Sun Mohan do when they face this question, Lao Wu will tell me your opinion. ”

Wu Linli pondered for a while and said: "Actually, I don't know the bottom in my heart, Zheng Binxi's previous question should be fine, the last question is estimated to be similar to Xia Qiuyu, Sun Mohan, he is a miracle player, he may really have a good job with the three solutions, but I don't dare to guarantee that he will not lose a point in the previous question!"

After Chen Qiuming and Lin Rui listened, they couldn't help but widen their eyes!