Юниор олимпиадасы 8 класс

XaparrtJlbrcraHy MareMarnrca darurrrr 6ofirrHrua xac ecnipiu4ep apacbrHAa
pecny6.rru KaJr

br

K oJrrr Mrr naAaH brrl ayA a HAbr 4 rceseqi

(2022-2023 oKy Nurur)

8-crrHuu

lleni:

MareMarrrKa

)I{yaarc yarybtmbt: 3 caeam
Op ecen 7 ynailueu 1aeanauadu.

1. Erep xyz=l )KeHe

o=*+!, b=ya!, c=r+L6onca,oHAa
xvz

a2+bz+c2-abc

opHeriHiq ueuiH ra6urprs.
3
2. TeHcis.{iKri 4eren4eqig: +. + * ] *...*:- I
,-g-G-"'-2004,- r
3

" Teq6yfiipli rpanequ{Hblr{ cyfiip 6ypuuruuuH

6ucceKrpr{cacbr 6yliip

(bIpbIMe H rlepn eHAI4Kynfl p opH€Lrac (au. Tp anerluf, HbrH r a6 angapbrHbrrl
KarbrHacbrH ra6rrqrrs.

Od"rracrHofi erau pecuy6r u rcancrcofi oJrrrMrr uaAbr cpeArr rroApocrKoB B
o6.nacru ecrecrBeHHbrx HayK rr MareMarnKrr

(2022-2023 yue6nufi roa)

8-ft

rc.rracc

llpe4vrer : MareMarLr Ka
Bpean pa6omot: 3 qaca
Kacrcdan sadaqa oqeHunaemcfl 6 7 6annoe.

1. Eclr,r

x)tz

=lua =,

+!, b = y +1,
xvz

c=z

+!,

uaiu.gure 3HarreHr4e BbrpDK

ellrfl

a'+b2 +c2 -abc.

2. [onaxnre HepaBeHcrBo: + . 1 * 1* ... * -.jr-' .1
: 8 15'""20042-1 -4
Euccer<'tpvaa ocrporo yrJra paBHocropouHefi Tpaneqzlr
n epneHAl4Kyn.fl p Ha 6 oxonouy pe6py. }Jafi.gur e orHorrreHLr e o cHoB arruir
TpaleqLrr4.
3.