Tsu-2011 - ieeetsu

momentSi midis daTqmul adgilas da meores elodeba 20 wuTis manZilze
(Semdeg ki midis). vipovoT albaToba imisa, rom es pirebi Sexvdebian erTmaneTs?
amoxsna. avRniSnoT, erT-erTi piris daTqmul adgilze misvlis dro
6 x -iT, xolo meore piris -- 6
y -iT (sadac x da y gamosaxulia saaTeb-
Si). elementarul xdomilebaTa sivrcis rolSi SegviZlia aviRoT im ( x , y)
wertilTa simravle, romlebic ekuTvnian erTeulovan kvadrats. am SemTxvevaSi
CvenTvis saintereso wertilTa (xelSemwyob elementarul xdomilebaTa)
simravle iqneba erTeulovani kvadratis im wertilTa simravle, romelTa
koordinatebi erTmaneTisagan daSorebulia araumetes 20/60
1/
3 -
iT:
A {( x,
y);|
x y | 1/3}
.
vinaidan, | x y | 1/3
1/3
y x 1/3
x 1/3
y x 1/
3. amitom advili
gasagebia, rom A simravle iqneba erTeulovani kvadratis SigniT
y x 1/3 da y x 1/ 3 wrfeebs Soris moqceuli gaferadebuli are (roca
0 x 1/3, maSin y x 1/ 3 wrfis nacvlad qveda sazRvris rolSi iqneba x
RerZi: 0 y x 1/ 3, xolo roca 2/3
x 1, maSin zeda sazRvari y x 1/ 3
wrfis nacvlad iqneba y 1
wrfe: x 1/3
y 1).
y
1
1/3
0 1/3 2/3 1 x
amitom saZiebeli albaToba iqneba:
| | 1
2/32/3
5
P ( A)
A .
| |
1 9
magaliTi 7. ramdegi gansxvavebuli sia SeiZleba Sedgenil iqnes 7
sxvadasxva gvarisagan?
amoxsna. 7
7! 1234567 5040 .
magaliTi 8. SejibrebaSi monawile 10 sportsmenidan pirvel sam adgilze
gasuli sami gamarjvebuli ramden sxvadasxvanairad SeiZleba ganTavsdes
dasajildoebel kvarcxlbekze?
3
amoxsna. А 10 1098
720.
magaliTi 9. SesarCev SejibrebaSi monawileobs 10 adamiani, romelTagan
finalSi gadis sami. finalistebis ramdeni gansxvavebuli sameuli
SeiZleba gamovlindes?
amoxsna. wina magaliTisagan gansxvavebiT, aq finalistebis rigs (dalagebas)
mniSvneloba ara aqvs. amitom viyenebT jufdebis formulas:
9