Chapter 11 Mathematics Contest Finals

Wang Fan, who delivered the tune, spent a few days at school. On September 21st, www.biquge.info results of the preliminary round of the math competition came down. Since the preliminary round only plays the role of a stepping stone, the content of the exam is not particularly difficult, and several people in Shenzhen No. 1 Middle School have received full marks, including Wang Fan.

The contestants who passed the preliminary round will participate in the provincial competition on September 26, and in the past few days, Wang Fan has bought a few books about the mathematics competition and devoted himself to research. During this period, the English teacher saw Wang Fan like this, and specially called Wang Fan to the office to talk to Wang Fan, Wang Fan only scored 701 points last time because of the English deduction of a lot of points, the kind English teacher persuaded Wang Fan not to be proud, and worked hard to raise the English score. After receiving more than half an hour of careful teaching from the English teacher, Wang Fan, who was helpless, could only agree repeatedly, claiming that he would listen carefully in class in the future, and then escaped from the English teacher's office. After this time, Wang Fan has strengthened his belief in getting a good ranking in the mathematics competition, if he has to be forced to listen to lectures for the rest of the days, how miserable it will be! Thinking about it, Wang Fan, who felt terrible, was full of strength and plunged headlong into the ocean of mathematics.

Mathematics is worthy of being one of the most basic disciplines, the famous Chinese mathematician Hua Luogeng once said: "The universe is big, the particles are small, the speed of light and arrows, the mystery of biology, the complexity of the sun and the moon, mathematics is everywhere." "The field of mathematics is too broad, algebra, geometry, variable mathematics, probability theory and mathematical analysis, fuzzy mathematics, what Wang Fan had never heard of before, stretched out his hands to Wang Fan, and Wang Fan was like a sponge greedily absorbing every piece of knowledge.

After all, five days is too short, even with Wang Fan's perverted thinking ability to face the ocean of mathematics, he can only sigh, the more Wang Fan delves into it, the more he feels that there are too many things to learn. Although Wang Fan still has a lot to learn, it is for the entire ocean of mathematics, just the difficulty of the high school Olympic mathematics competition, Wang Fan has no problem at all.

On September 28th, under the leadership of the leading teacher, Wang Fan and his entourage came to Eshi, the capital city of the ancient province. As the capital city of the ancient province, the economy is highly developed, and the educational resources are also quite abundant, Wang Fan and others will face the strong players from the eighth middle school of the ancient province this time, the eighth middle school of the city has always been the trump card high school of the ancient province, bringing together outstanding talents from the province and even the whole country, but it is a pity that in recent years the first middle school of the Shenzhen city has stolen the limelight, and the results of the college entrance examination are always worse than the first middle school in the city, but even so, the eighth middle school of the eighth middle school of the ancient province is still one of the most influential high schools in the ancient province, and Wang Fan and others are mainly from the eighth middle school of the city.

A lecture hall in Eshi No. 8 Middle School is basically full of students, and a teacher with checkered glasses is making the final advice to the students, "Let's rest well today, don't stay up late, it is said that the exam questions are particularly difficult, you should prepare well for tomorrow's exam, our opponent Shenshi No. 1 Middle School is not weak, don't underestimate the enemy, let the opponent take advantage." A short boy at the bottom shouted with a smile: "Teacher, don't worry, although Shenzhen No. 1 Middle School has suppressed our limelight in the college entrance examination in recent years, but as we all know, their schools do not organize training in mathematics competitions, and our results in mathematics competitions in recent years have far exceeded those of Shenzhen No. 1 Middle School, not to mention, there is Fang Yuan, who can grab the first place in this competition!" ”

As soon as the short boy's voice fell, everyone looked at the emaciated boy in the first row, this boy was Fang Yuan. Fang Yuan was born in a scholarly family, his parents are famous mathematics masters in ancient provinces, and they are well-known throughout the country, Fang Yuan has shown extraordinary mathematical talent since he was a child, under the careful teaching of his parents, Fang Yuan has achieved excellent results, and has achieved excellent results in a number of nationwide mathematics competitions, and has won various gold medals. Fang Yuan listened to the short boy's words, he didn't have any expression, except for mathematics, Fang Yuan was rarely interested in other things.

Although the checkered glasses teacher felt that the short boy's words were good, there should be no players in Gu Province who could threaten Fang Yuan, as a teacher, he still warned the students, "It is said that there is a girl named Sun Feifei in Shenzhen No. 1 Middle School, and her strength is also very strong, don't be careless."

On the morning of September 29th, the leading teacher of Shenzhen No. 1 Middle School brought the students to the examination room early, and the candidates entered the examination room one after another, and at half past eight, the final of the provincial Olympiad Mathematics Competition began.

The difficulty of the finals is completely different from the difficulty of the preliminary round, Wang Fan has also done the previous years' questions, roughly understand the difficulty of previous years, although the questions of previous years are difficult, but Wang Fan can basically see a way of thinking after a few glances, this year's competition questions have obviously deepened the difficulty, on the whole, it has improved by a grade compared with last year, especially the last question, that is, Wang Fan did not understand what the topic was talking about at first glance, and after thinking carefully for a while, Wang Fan found the solution idea of this question. This is a very comprehensive topic, using a variety of methods such as construction, counterproof, and mathematical induction, not only that, but this question also involves the knowledge of advanced algebra, advanced algebra is generally only learned in college, Wang Fan is because of the first five days of crazy dabbling just saw this aspect of the content to react, Wang Fan, who wanted to understand the idea of solving the problem, began to write, but Wang Fan, who had just written a few strokes, suddenly paused, and a lightning bolt crossed Wang Fan's brain, there seems to be a trap in it......

Fang Yuan was also trapped in the last question, Fang Yuan's math skills are not just as simple as high school, under the teaching of his parents, Fang Yuan has finished college mathematics calculus and other courses, Fang Yuan racked his brains to think about the last question, the pen kept writing down the possible ideas on the scratch paper with his thinking, this is Fang Yuan's thinking habit, write down the possible solution ideas on the paper, and then connect the ideas to find the answer through these ideas. Fang Yuan kept trying, and suddenly his eyes lit up, and he struggled to write.

In an office of the Ancient Provincial Mathematics Teaching and Research Department, a man in his forties said to the old man who thought his hair was gray: "Elder Li, will the last question of this exam be a little more difficult, not only does it use some knowledge of university mathematics, but also sets a trap at the end of the question, which can not be done much, plus this trap, it is estimated that no one will be able to get a full score on this question." Li Lao looked at the latest academic frontier with a book, listened to the man's words, and said slowly: "It's a little more difficult, to give today's young people a dismount, I have always thought that the competition questions in the past few years are getting easier and simpler, and we have always been unable to get good results in the world, this exam is a little more difficult, let them experience the difficulty of the international competition in advance, don't understand it too late." ”