2 Olympiad Questions, How Hard Is the Olympiad?

1 The kth term of the series = (k k) = k * (1111111......k1) so ak=k[10 (k-1)+10 (k-2)+....1]=k*[1-10^k]/(1-10)

ak=k*(10^k-1)/9

a100 = 100 * (10 100-1) 9 reams bk = k * 10 k

Sum the sequence.

tk=b1+b2+……bk

1*10+2*10^2+……k*10^k

Then ktk = 1 * 10 2 + 2 * 10 3 + ......k*10 (k+1) dislocation subtracts (k-1) tk=-(1*10+1*10 2+1*10 3+......1*10^k)+k*10^(k+1)

k-1)tk=-[10 (k+1)-10] 9+k*10 (k+1) to calculate tk, and then k=(bk 9)-k 9

Therefore, the sum of AK yields SK=TK 9-(1+2+......k) 9 Substitute the tk (I don't want to count, you can calculate it yourself).

2 The denominator is rationalized.

1/(√k+√(k+1])=(√(k+1)-√k)/[(√k+1)+√k)(√k+1)-√k)]

k+1)-√k

Therefore the original formula = 2-1 + 3- 2 + 4- 3 + ......2009-√2008

Use 1 (root number n + root number (n+1)) = root number (n + 1) - root number n1 + root number 2) + (1 root number 2 + root number 3) +. 1 Root No. 2008 plus Root No. 2009).

Root number 2-1 + root number 2-2+. Root No. 2009 - Root No. 2008 Root No. 2009 - 1

The Olympiad is a competition for the selection of a small number of outstanding talents, and it is very difficult. Anyone is allowed to participate in this competition, but it is generally recommended by the school after passing the school competition. In the end, those who can participate in the national competition are very top-notch talents from each school.

Each of the Olympiads covers a wide range of events that go far beyond what the average secondary school student learns, so young people who participate in this competition need to learn more about this aspect on their own in order to be more competitive.

The Olympiad aims to enable the majority of young people to develop intellectually through competition, and to create opportunities and conditions for a small number of outstanding young people to stand out and become outstanding talents. This activity has been carried out extensively in our country and has achieved outstanding results. Students who have achieved excellent results in the Olympiad are eligible to participate in the independent entrance examination.

There are five main Olympiads (Mathematics, Physics, Chemistry, Biology, Informatics) and several other Olympiads (Astronomy Olympiad, Earth Science Olympiad, Linguistics Olympiad, etc.).

Olympiad awards:

1. The method for judging the results, the proportion of winners and the number of winners in the national competition and the provincial competition shall be determined by the organizer.

2. The winning standards of the provincial competition shall be determined by the organizer, and the number of first prize winners of the competition shall be controlled by the competent unit.

3. The certificate of the national competition and the first prize certificate of the provincial competition shall be uniformly printed by the competent unit. Provincial competitions.

The certificates of the second and third prizes shall be uniformly printed by the organizer.

4. The award certificate of the national competition (the final and the first prize of the provincial competition) shall be jointly issued by the competent unit and the organizer, and the provincial competition.

The second and third prize certificates will be issued by the organizer.

5. The competent unit of the competition shall publicize the list of first prize winners within the specified time.

1. Olympic is a translated word, which originally referred to the ancestor worship of Zeus held in Olympia in ancient Greece. The sports competitions in the ancestral worship event are called "Olympia Athletics".

2. During the Renaissance, when people studied ancient Greek culture, they first called the "Olympiad Olympia" nuclear type "Ancient Olympic Games". Since other cultural activities such as academic discussions, poetry recitals, and art exhibitions were also held during the ancient Olympic Games, people named the entire event, including the Olympia athletics, "Olympiad".

Olympus Olympia Olympiad.

Olympus, also known as Mount Olympus, is located in the northeastern part of Greece in the Balkan Peninsula, near the Bay of Thessaloniki, and is a part of the Olympus block, with an altitude of 2,917 meters, which is the highest peak in Greece. The summit is covered in clouds and snow for most of the year. Olympus means "glowing" in Greek, Mount Olympus was revered by the ancient Greeks as a sacred mountain, and it is the place where the gods live in myths and legends, including the main god Zeus, the goddess of wisdom Athena, the sun god Apollo, etc., the ancient Greeks believed that Mount Olympus was in the center of Greece, and Greece was in the center of the earth, so the mountain was also the center of the earth.

Olympia, the birthplace of the ancient Olympic movement, is located in the northwest of the Peloponnese Peninsula in southern Greece, about 270 kilometers north of Mount Olympus, is a religious shrine and sports city in ancient Greece, with the famous Temple of Zeus. As early as around the 1st millennium B.C., young Greeks began to compete here, and later expanded to a national Olympic Games in 766 B.C. This year also became the beginning of the Greek chronology.

Since then, it has been held every four years and is open to all Greek citizens. At that time, the athletics included running, discus throwing, horse racing, wrestling, etc., and later added performances, such as drama, poetry, and **, and the winners were awarded olive garlands, and sometimes statues of them were famous. According to the regulations, during the Games, there was a "Holy Truce" throughout Greece.

This activity continued until 393 A.D. (394?). ) was banned by the Roman Emperor Theodosius, which lasted for more than a thousand years. Today, it still houses the site of the world's oldest sports field.

In 1894, the Frenchman Gu Dan initiated the establishment of the International Olympic Committee (IOC). In 1896, the first Olympic Games of modern times (abbreviated as the "Olympic Committee"). In 1896, the first Olympic Games in modern times were held in Athens, the capital of Greece, and the Olympic Asian Games, which had been interrupted for 1,500 years, were presented to the world with a new look, and have been held every four years since then (except for three during the two world wars).

Today, although the Games are held in various countries on a rotational basis, the torch of each Olympic Games is lit in Greece and then transmitted to the host venue.

It should be noted that there is also a city in the northwestern United States called Olympia, which was founded in 1850. It gets its name from the fact that it is located at the foot of the Olympus Mountains on the Olympus Peninsula. The Olympus Mountains are isolated in the northern part of the Coast Mountains, the highest point of the Coast Mountains.

Today, the main part of the mountain has been opened up as the Olympic National Park. The Olympus Peninsula, the Olympus Mountains and the city of Olympia in the United States were named after the British Sea Chief Mires in 1788, and they have nothing to do with Mount Olympus, the monuments of Olympia or the Olympic Games in Greece.