problemas de las olimpiadas matemáticas chinas

[...]... students comprise elementary six and junior middle one students The format of the competition consists of a preliminary round, semifinals in various provinces, cities and autonomous regions, then the finals Mathematical competition in China provides a platform for students to showcase their talents in mathematics It encourages learning of mathematics among students It helps identify talented students... o p, p2 Solution (1) We perform the operation on PO It is easy to see that each side of Po becomes 4 sides of PI So the number of sides of PI is 3 4 In the same way, we operate on PI Each side of PI becomes 4 sides of P2 So the number of sides of P2 is 3 42 Consequently, it is not difficult to get that the number of sides of P, is3 4" It is known that the area of Po is So = 1 Comparing PI with Po ,... and divide China Mathematical Competition 2002 5 - elementsal , a2 , , a100inA into 50 nonempty groups according to their order Define a mapping f: A B, so that the images of all the elements in the i-th group are bi ( i = 1, 2 , , 5 0 ) under the mapping Obviously, f satisfies the requirements given in the problem Furthermore, there is a one-to-one correspondence between all groups so divided and... that , the team leaders will translate the problems into their own languages The answer scripts of each participating team will be marked by the team leader and the deputy leader The team leader will later present the scripts of their contestants to the coordinators for assessment If there is any dispute, the matter will be settled by the jury The jury is formed by the various team leaders and an appointed... countries are required to send a delegation consisting of a leader, a deputy leader and 6 contestants The problems are contributed by the participating countries and are later selected carefully by the host country for submission to the international jury set up by the host country Eventually, only 6 problems will be accepted for use in the competition The host country does not provide any question The short-listed... would undergo training at the West Point Military Academy, and would meet the President at the White House together with their parents Similarly as in the former Soviet Union, the Mathematical Olympiad education was widely recognized in America The book “HOWto Solve it” written by George Polya along with many other titles had been translated into many different languages George Polya provided a whole... responsible for deciding the final 6 problems for the competition Their duties also include finalizing the marking standard, ensuring the accuracy of the translation of the problems, standardizing replies to written queries raised by participants during the competition, synchronizing differences in marking between the leaders and the coordinators and also deciding on the cut-off points for the medals depending... Razborov , was awarded the Nevanlinna Prize Another gold medalist of IMO in 1986, S Smirnov, was awarded the Clay Research Award V Lafforgue, a gold medalist of IMO in 1990, was awarded the European Mathematical Society prize He is L Laforgue’s younger brother Also, a famous mathematician in number theory, N Elkis, who is also a foundation professor at Havard University, was awarded a gold medal of... in 1986 for the junior middle school students and it had a great impact The mathematical competitions in China before 1980 can be considered as the initial period The problems set were within the scope of middle school textbooks After 1980, the competitions were gradually moving towards the senior middle school level In 1981, the Chinese Mathematical Society decided to conduct the China Mathematical... submitted them to the team leaders of the 35 countries for their perusal Eventually, 28 problems were recommended At the end, 5 problems were chosen O M 0 requires 6 Introduction xvii problems) This is another evidence to show that China has achieved the highest quality in setting problems Thirdly, the answer scripts of the participants were marked by the various team leaders and assessed by the coordinators . China provides a platform for students to showcase their talents in mathematics. It encourages learning of mathematics among students. It helps identify talented students and to provide them. The answer scripts of each participating team will be marked by the team leader and the deputy leader. The team leader will later present the scripts of their contestants to the coordinators. been two students who entered the national team and received Gold Medals at IMO. Since 1986, the china team has never had a female student. In order to encourage more female students to participate