IAO 2000, Теория — Задача 4. Group B. 2.
Theoretical round. Problems to solve
Source editions and printed discrepancies
The English questions are retained with their original group/number titles and routes. The official Russian keys and missing Olympia signal graph are supplied from the proceedings. Printed source wording and repeated words are retained. The Moon key prints a sign-inconsistent intermediate eccentricity equation; it is preserved along with the subsequent positive formula. The star-size key prints “больше” despite its absorption argument; the calendar key repeats “начинающихся с”; the quasar key prints R=c/H in its final numerical line. These source readings are not silently corrected.
Условие
Young scientists from the Komi-Republic territory (in the Russian Federation) registered a few days ago a new object looking like an eclipsing binary star. But the the period of this star was not stable: the stellar magnitude of the object is usually usually equal to . Once every 7-11 seconds it is rising to for 0.2-0.3 0.3 seconds. After investigations it was clear that the shining object is eyes of a group group of absolutely black cats sitting on a small absolutely black body in our Solar Solar System and looking towards the Sun! And one of the cats is blinking! Calculate Calculate the number of cats in the group sitting on the small body and looking to the to the Sun. Draw a picture explaining your solution. Consider that all the cats are equal are equal in size.
Решение
Пусть общее число котов равно . То есть, один кот моргает и — смотрят на Солнце постоянно. Таким образом соответствует кошачьим глазам и — глазам.
То есть .
(Общая формула: .)
Оригинал в Архива: theo.pdf · допълнителни данни: proceedings_2.PDF