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uHSopn'raqr4oHHoM o6ruecrne; p€BBr{Tr4e r.rHTepeca K MareMarlrqecKoMy
TBOptrecTBy u
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o6qzx cnoco6on r4HTeJrneKTya-urnoft AerreJlbHocrlr, xapaKTepHbrx Ant
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rlpoAonxeHur o6yveHus B crapmefi urxore r4Jrr,r r{Hbx o6rqeo6pasoBareJrbHbrx
r{pexreHr.rsx,
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dbIIILIICHI.I'' XAPAKTCPHbX AN'I MATCMATI,IqECTOfi
NE'TEJIbHOCTI4.

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IIACOB

XaparrepzcrvKa ocHoBHbrx coAeplr(areJrbHbrx .rrunufi
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r{reHrae rpa$uxon r,r
Ar.rar-paMM. 3a1a'au Ha rna4parnofi
peluerKe. 3a4a,rn Ha [poqeHTbr, oKpyrneHr4e. fleficrnzx co
crerreHrMrr. llpe o 6pa^: oB alrrfl rrrzcno B brx r4pp arJtroHurbHrx,
norapn$nauqecKr{x, Tpr.rfoHoMerpprqecKr.rx nrrpaNeHvft.
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no

MATEMATIIKE

[eftcrnnx c QopuynaMLr. llpocrefiruue ypaBHeHr4r:
Jruneftnue, KBalparHbre, ry6nuecxHe, r.rppaUr{ouanbHbre,
rloKirareJrbHhre, norapu(puuqecKr4e. Ilpuxla4Har
reoMerprrt: MHoroyronbHr4Ku. Ha.rana Teopl4r{
nepoxrHocrefi. Knaccv.recroe onpeAeneHlre BeporrHocrr.r.
Teoperrau o BeporrnocrubD( co6rnraxx. Bu6op

orlTrrMaJrbHofo Bapr4aHra. CrepeoMerptrr: MHorofpaHHrdKrd,
ry6, npxuoyronsnrrfi rtapitltnenerrr{rreA, nprlBMa, nr4paMvr1a,
nJrorqaAb rroBepxHocrz cocraeHoro MHoforpaHHr.rKa o6rev

cocraBHoro MHororpaHHHKa Kpyrnhre TeJra. Aualrg
rpa$uron v 4Lrarpaxnr,r. flnauuuerpr.tx: TpeyronbHr4Kyr u vx
gneMeHTbI qeTbIpeXyrOJIbHLIKpI vt r{X 3JreMeHThr
MHoroyfonbHrzKr,r oKpyxHocrs.. 3agauu

rro crepeoMerprrr4:
lapirnnenerrr4rreA rrpr43Ma nvpaNrv!.a rlr4nr4HAp KOHyC IIIap.
Peruenne HepaBeucrB. grcnosrre [poMe)KyrKr{. Anarus
yrBepxAeHuit. Wcna w ux cnofr.crna. perueHr4e 3aAaq Ha
cMeKaJrKy. OusfiqecKzft cMbrcJr upousno4Hofi.

feouerpzvecxr,rft cMbrcJr nporasno4uofi KacareJrbHtur.
flpraueuenue upora:no4noft K HccneAoBaHr4ro Synxqufi.
Ilepnoo6pasnax. 3agaun c rpr.rKna4HbrM coAepxaHr4eM:
lzneftHue, KBaAparHbre, crerreHHbre, parlrrouuurbHhre,

Epparlr4oHirnbHbre, rroKa3areJrbHbre, :rorapra$unqecKrr e,
rpr.rroHoMeTpuqecKr.re ypaBHeHr.r{ r4 HepaBeHcrna. 3a4auz na
[poIfeHTbI, crIJIaBbr, cMecra. 3agalu ua 4nuNenue tto npauofi,
oKpyxHocru. 3ara,ru Ha AnnNenze rro noAe. 3aAa.rvr Ha
ooBMecrHyro pa6ory. 3a1a'ru Ha rrporpeccuu. fpa(pr.rru
Synrqufi: runep6olrr, KycoqHo-rruneft:aas (fyuxqur,
napa6onrr clrHycot4Abr. Haz6onluree u Ha[MeHbrrree
]HarreHr.re SyHrqnft. ?Icclegonanne crerreHHhx yr

appauproHanrHrx Sy'nxqnfi. Llccle4onaurze qacrHbrx,

rpousnegeHufi. llccne4onanrae [oKa3areJrbHhx u
rorapu(pnrrqecKr.{x

(fynxqr,rfi.
I4cctelonartue
pl,IrouoMerpr.rtrecKux $ynlcqrfi. I4ccne4onanrae
SyHxqufi
jes noNaorq[ [por43BoAnofi. PaqraoHanrHrre HepaBeHcrBa.
{epaneHcrna, coAepxarrlr4e paAzKanrr. lloKasarer"rrur.,

torapnSrrauqecKr.re HepaBeHcrBa. HepaneHcrna .
torapn$rr,ravrl no nepeMeuHoMy ocHoBaHr4ro. Hepanencrna c
{onvJreM- Crurerrrarrrnre rJellqpru^TDq
I

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68

no

MATCMATIIKE

Buqprcnenus: gefi,ctr;nx

(DopnrtI
TeKyrrlefo
KOHTpOJTfl

c

Peuenue npocrefiruux reKcroBbrx

Oponrarrrnuft
ollpoc,

3aAaq. I{renue rpaQuron

TEMATI,IqECKOE

u

Apo6sMr4.

Synrrlufi.

Ha rcnagpaurofi
Brrqzcreuu-fl vr

Peurenue 3aAaq
perrreTKe.

npeo6paso r,aHils, rrr4cJroBbrx nr-rpaxenufi

Pemenrae 3aAatr

ro

.

npzrlagnofi

reoMerpr4r.r. Peruenne 3aAaq Ha reopr4ro

neporruocrefi. Blr6op orrrr.rMilJrbHoro
BaprraHTa. PerueHrae 3aAaq no
crepeoMerprar4. Peruenue sa4a'u rro
rrJraHr.rMeTpr4r,r.

Ana-rrllls rpaouron u

AI,IarpaMM. Anzurus yrnepN4enrafi.
Peurenue ?-aAaq Ha csoficrna rrliceJl.

Pelrenze 3a,{aq Ha
HaxoNnenue

cMeKanKy.

tIpOLI3BOAHOI,I,

uepnoo6pa.:noft. Pemenze 3aAaq Ha
$r:rauecrnfi, reoMerpaqecrufi cMbrcJr
npourno4nofi. Peruenrae 3aAaq c
rrpr{KnaAHbrM

coAepxaHr,reM.

floctpoeHr.re u LrccneAoBaHlre rpa(fraron

(pyuxqHfi. Peruenue 3a4aq Ha
BepoflTHocrb cJroxHbrx co6rrruft.
I4ccre4onaHrae (fynxqrfi Haxox,qeHr4e
nara6omruero kr HilrrMeHbrrrero
3HaqeHrrr. Pemenue ypannenzfi
HepaBeHcTB.

O6qee rcoJrrrqecrBo
IIACOB

68

TecTr,rpoBaHI4e,

perrreHr.re

zep.arrwfius
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Ha cairre
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KAJIEHNAPHO-TEMATI4qECKOE NJIAHI,IPOBAHI4E
Houep
3aHqTI|fl

Aara

Tepra

Ilonroronrca
I

rc

EI3

rlacrr

no MareMarr{Ke

10.

0s.09
08.09
t2.09
15.09
19.09
22.09
26.09
29.09
03.10
06.10

11

10.10

12.

13.10

13.

17.t0

14.

20.10

15.

24.r0

16.

27.r0

llpo crefi ur{e ypaBHeHras. llora3 areJrbHbre ypaBHeHr{r.
Jlorapu$rvrrrecKlre ypaBHeHr.rt
llpurna4nax reoMerpr4r. MuoroyroJrbHr.rKr4
Haqara reopura BeporrHocrefi . KlaccuqecKoe onpeAeneHr4e

t7.

07.11

Ha.rana reopr4rl BepoflTHocrefi . Teopenau o BeporTHocTHbx

co6snusx

1

18.

10.11

Penreune sa1las na nrr6op orrrr4MaJrbHoro BapuaHTa

I

19.

t4.tl

20.

17.11

2t.

2t.Il

22.

24.11

Crepeouerpus. MHororpaHHr,rKr,r. Ky6. llpxuoyro.nluufi
napannenelrrrreA. flp[sN,ra. fhapalruaa
llnorqaAr rroBepxHocrr.r co craBHoro MHof ofpaHHr.rKa. O6reu
cocraBHoro MHoforpaHHr4Ka. Kpymsre rela
AHa,rzs rpa$uxoe Lr nr4afpaMM
lhannuerpur. TpeyroJrbHr.rKr4 rr r.rx gleMeuru. HerupexyronbHr.rKr4

LJ.

28.1 I

24.

01

2.
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4.
5.

6.
8.
9.

25,
26
27.
28.

l2

05.12
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12.12

15.12

29.

19.12

30.

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31.
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26.t2
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leficrnrar c lpo6srrau
Oxpyrrenue c Henocramona. OxpvrureHr4e c us6rrrxoN4
llpocrefi uure reKcroBbre 3aAaqr4
P

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14

1

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eAr,rHprrlbl lnMepeHl,rt

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3aAaqra Ha KBaAparnofi peurerxe

a4a'ru Ha rrporleHTbl, oKpyf JIeHrie
.I[efi crnns co creneHflMr4
llpeo6pasoBaHr.re qrrcJroBbrx r.rppaur{oHanbHbrx eHoaxenrafi
llpeo6pa:oBaHrre qrrcJroBbrx rorapudrruqecKr{x BhrpareHlre
Brrqucnenr,re sHaqeHufi Tprrf oHoMerpuqecKr,rx nrrpaNenufi .
flpeo6pasoBaHlre qrrcJroBbrx rplrfoHoMerpr,rqecKr4x erroaxeHufi
flpeo6pa : oBaHr.re BbrpaxeHrrfi . flefi crnux c fr opuylauu
llpocrefi urue ypaBHeHr.rs. Jlru{efi Hsre, xna4paruue, ry6uuecKue

I

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ypaBHeHr4r. IrlppaqnonaJrbHbre ypaBHeHr.rt

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Perueuue 3alaq no crepeoMerpr.M. flapallelerrrrreA. flpusua.
flupavrn4a. Uulun.qp. Kouyc. lllap
Peruende HepaBeHcrB
Anarus yrnepNgeuzfi
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9uc:ra z ux csoficrsa
Peruenne 3aAarr Ha rrporleHTbr, crIJIaBbr, cMecr{. Perreuue garar:_Ha
ABr4xeHrle no nparraoft , oKpyxHocrr,r
PerueHze 3aAaq Ha ABI,rxeHHe no none. PerueHr,re 3a,[ar{ Ha
coBMecrHyro pa6ory. Peruesue 3anatr Ha rrporDeccupr
Peruenze 3a.4arl Ha cMeKarrlKy
Pemenue 3aAaq Ha cMeKaJrKv

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Peroense

34.

rrHof o Tpe\ToJIbHI,IKa
Pemesae
T TO--IbHI{KI{ OOItrETO BIIIA
rr. T
l-{enrpanurbre r4 Brrr4 caHHbIe yrnbl. Kac arelrHu, xqpA4a lg4yqea
Onucannrre
Bnucannrre
@prsuqecrI,rfi currcl [polr3BoAHofi. feouerpuqecxufr cMbIcJ]
eoArrofi, KacarenbHat
llpuuenenue rpolr3BoAnofi x rccJleAoBanuro (fyHrcIlzfi '

35.

36.
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a-

38.

39.
40.

\TO.-IBHO[ O TPC\TOJIbHUKA

3a1a,an c nprrKnaAHbIM coAepxaHl4eM. JlranefiHsre ypaBHeHI'Is lI
HepaBencrna. Kna4parHble I{ crerleHHble ypaBHeHlls I'I HepaBeHcrBa.

42.

43.

PaquouamHbre ypaBH er.nfl. kt HepaBeHcrBa
3 aAa.ru c nplrKnaAHbIM coAepxaHLIeM. I4ppaquouzulbHble,
lloras arerbHble, norapntf ir,ruqecKl4e ypaBHeHI{s u HepaBeHcrBa
3aAaqu c npLIKnaAHbIM coAepxaHLIeM. Tpurououerpl'IqecKire
BHCHI,I'

I4

yuxqur

44.
45.
46.
47.
48.
49.

f parburu 6ynruufi . f unep6olsl. Kyco'IHo- tulg,eitlr.as,
rcuafi . flapa6o,ru. CzuycottAst
rrrHocrHbIX co6rtrusx
T

50.
51.

ZccreAoeanlle rloKa3areJlbHbrx Ia rorapu$MldqecKllx tbynxqafi
qecKr4x bynxttnfi
I4ccleronanue
IrlccneloeaHne
xulrfi 6es noMoIIIZ n
Pa:nepHyr afl rracrb. PaqraoualrHble, I{ppaIII{oHanbHbIe ypaBHeHI'It.

52.

s3.

54.
55.

56.
57.
58.

59.
50.

T

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,{THOCTHbIX COObITI,ISX

uufi'
Irlccre.nogaHl{e creneHHbrx I,I
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Zcc:reAoBaHlre npouseeAeHIaft
IrlccrenoeaHl4e

MlrqecKr4e r.r noKa3aTeJrbHble ypaBHeHplt

asnepnyriu qacrb. P aquonalrHble, I4ppaIII{oH aJIbHbIe ypaBHeHI'It.
JloraoudulrqecKlre rr rroKa3areJlbHble ypaBHeHI{t
Pasnepuyrarl qacrb. Tpurououerpl4rlecKze ypaBHeHl4f,, pa3JloxeHlre
P

Ha MHO)KI4TeJII{, IICCJIeAOnaTUEe

o

Pasnepuyrail rlacrb. Tpuron ouerpllqecKlle ypaBHeHI4s, pa3 JIox{eHIae
Ha MHoxr{TeJrr,r, r4ccneaonaHue OA3
a{ qacrb. YpaeHeHus cMeIrIaHHofo rl4rla
qacrb. Ypanneuux cMqlxaHHoro rl,Ina
Pas
Pasnepnl'rarr rracrb. Paqr,rona,'IrHble HepaBeHcrBa. HepaneHcrna,
Pa:nepHyr afl rracrb. floragarerbHble HepaBeHcrBa.
I4qCCKIIC HCPABEHCTBA

Paseepnyrar qacrb. HepaneHcrBa c norapuQuauu uo
TICOCMEHHOMY OCHOBAHI,Irc

.{acrn. H
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11.05 PelreuuerrrrroBoro
15.05 PemeHue rr.rnoBoro
17.05 PenenuerprrroBoro
17.05 Pernenserr4rroBoro
22.05 PeueqnerrrrloBoro
22.05 Perner+neilmoBoro

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