15
O oouroron*r rrc* 6fi,ff$-.$ np"tMerHere ame6puunn-a c6op : S..-{ffi uauepere .r, aKo : a) 6) n) r) 5 3,1 I I n-4-5-t- 6; 7 | 2.r.s n-r- 3* 4' 6; 1,2 l,l 7 -t'3-6't-18' 5 2,5 | I r8-9- 6-t-1. n) r) "t 8tr-s+- t]+s!; :r3* r*-rt+tl; q +-+-2.?; 3._1_r_r. 4 2 4 8' a) 6) 6) n) r) 6) n) r) x+z!=-ttr t x+z]=-t?t z!* * - -4,5; -rtr* '*!; cro6nre rl flpecMerHere: n)-20.8 -x=-12,5; -2.3-x=5,3: r) x-5.9=-11; r-51 = -81 ) 6' Parrcpnfire ffia) a) A = 5,6 - ol * z] + (t+,+. s | - af ) ; B =13,37 - r; - -* - (s,:r - s f . sff) ; c = -(z,a * oZ-13,1 2) * (-t,z+ ef + 20,88) ; o = -(ts,or - 13 * r:J) -(r+,: t + rc!- tu;) A = ro9- 5,8 + z j * (-roz + s,a - z!) ; B =3,9 -rz,2s -s] -(-rz,r +15,75-ri)t c = -(rz,tz -r07 fi- tri) * (-r ro,o + zrft +s,72) ; o = -(tzs - s,zs- r*) - (r s,zr - 2oe +r#) A = t8 -(s - t,z- :|) . (tt - a,z - t 1) t B = -r3 - (5,4 -3,r2+ s) + (-:,0 - 7,r2+ t t) ; c = -3! -l-zs,s - (7,3 - s,s + 2)f; D =23-[r,r -o,s -(z] * u* -r,r)]. 38

matematikazv.weebly.commatematikazv.weebly.com/uploads/1/2/3/8/12383653/sbornik_arhimed-38-52.pdfCreated Date: 11/24/2014 7:48:11 PM

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Page 1: matematikazv.weebly.commatematikazv.weebly.com/uploads/1/2/3/8/12383653/sbornik_arhimed-38-52.pdfCreated Date: 11/24/2014 7:48:11 PM

O oouroron*r rrc*6fi,ff$-.$ np"tMerHere ame6puunn-a c6op :

S..-{ffi uauepere .r, aKo :

a)

6)

n)

r)

5 3,1 I In-4-5-t- 6;7 | 2.r.sn-r- 3* 4' 6;1,2 l,l 7-t'3-6't-18'

5 2,5 | Ir8-9- 6-t-1.

n)

r)

"t 8tr-s+- t]+s!;:r3* r*-rt+tl;

q +-+-2.?;3._1_r_r.4 2 4 8'

a)

6)

6)

n)

r)

6)

n)

r)

x+z!=-ttr t

x+z]=-t?t

z!* * - -4,5;

-rtr* '*!;cro6nre rl flpecMerHere:

n)-20.8 -x=-12,5;

-2.3-x=5,3:

r) x-5.9=-11;

r-51 = -81) 6'Parrcpnfire

ffia)

a)

A = 5,6 - ol * z] + (t+,+. s | - af )

;

B =13,37 - r; - -* - (s,:r - s f . sff) ;

c = -(z,a * oZ-13,1 2) * (-t,z+ ef + 20,88) ;

o = -(ts,or - 13 * r:J) -(r+,: t + rc!- tu;)

A = ro9- 5,8 + z j * (-roz + s,a - z!) ;

B =3,9 -rz,2s -s] -(-rz,r +15,75-ri)t

c = -(rz,tz -r07 fi- tri) * (-r ro,o + zrft +s,72) ;

o = -(tzs - s,zs- r*) - (r s,zr - 2oe +r#)

A = t8 -(s - t,z- :|) . (tt - a,z - t 1) t

B = -r3 - (5,4 -3,r2+ s) + (-:,0 - 7,r2+ t t) ;

c = -3! -l-zs,s - (7,3 - s,s + 2)f;

D =23-[r,r -o,s -(z] * u* -r,r)].

38

Page 2: matematikazv.weebly.commatematikazv.weebly.com/uploads/1/2/3/8/12383653/sbornik_arhimed-38-52.pdfCreated Date: 11/24/2014 7:48:11 PM

ffi fato rr3rroJr3Bare , ue I ,2 . 2,3 . 3,4 = 9,384. npecMerHere:

fl-,ffi Uur"pere lmcnenara crofisocr Ha r{3pa3a A = 2 . x . y, ato:

a) -1,2 .2,3 .3,4; 6) -1,2 . (-2,3) .3,4;1,2 . (-2,3) .3,4; -1,2 .2,3 . (-3,4);1,2 .2,3.(-3,4); 1,2 . (-2,3) .(-3,4);

v) -1,2 .(-2,3) .(-3,4).

a)x=0,5; 6)x=-2,5; n) x=-]; r;x=-1{;y=-|t ,-=5; y=-+i y=2;.

a)-15.7,8+5.7,8; 6)-20.3,6.(-5).0,1;

-18 . (-3,12) + 8 . (-3,12); -25 .3,14 .a .G2);

-123 . (-s,46) + 23 . (-5,46); -z].r-sl .(-tr) t,0,

3,72 . (-27) + 3,72 . (-73); -st.{*2,t, (-3) +

PAur4oHA Hil rlzcnA €l

€,&.\$ np".MerHere paquo'an'o :

ffiB np..MerHere croftHocrra HartpiBa A=3 .x -2.y+ 5, aro:

a) x=2; 6) x=-5; ny x=-t; 11 x=21;!=4; ,=trt y=2,5; y=4+.

ff-,-ffi sar Aa npecMrrare, cpaBHere c sucroro 0 npousBeAeHprrrra:

1 = (-5,7) . (-3,2) (-r;). (-0,03) ;

B =7,8 .(-3,4). (-5,9) (-ti) ,

C =3,9 .(-5,7) .6,4 . (-3,21 . (-Sf ) ;

D = -8,2. (-3,6). (-ls) (-3) . e3,4). (-1).

ffi xaro H3rroJr3Bare ,ue f = x . x,HiMepere x2, aKo:

a) x=-8; 6) x=-0,3; n1 *=-|; r) x=-tf .

raro r{3rroJBBare, .re f = x . x. x, HaMepere .tr3, aKo:

a) x=-1; 6) x=-2; n; ,=-]; ,) ,=-?.

39

Page 3: matematikazv.weebly.commatematikazv.weebly.com/uploads/1/2/3/8/12383653/sbornik_arhimed-38-52.pdfCreated Date: 11/24/2014 7:48:11 PM

S oaurot+*ffi I'Ituupmere AeneHllero :

a) -13,5 :2,7; 6)

-50,4 :3,6;

-45 : (-2,5);

52,7 : (-17);

a) -3,6 ;2 - 1,9;

3 : (-0,2) +7,3;

-4,5.. (-0,5) - 11;

-2,7 :9 + 1,8;

a) -25:3 - il :3;

-103:4+3:4;

-137:(-25)-63: (-25);

-t5+ :(-4,1) -tt+: (-4,1) :

18 . -12. -63.-27', 15 ' -42',t7 . -li. -13

-153' 132', -r82'

(-13);

(-18);

-s0);

-31 :

-llj-)

1

-65 -7885 ' -lr4'1A -?5

-104' I l9 ',

-37. 26148' -104;-156. zzl-221' -323'

-rc,a: !; ") -3i: t-3-. -s lL''

4' -7/ r\

r2,3:(-i) , -ol-r8,6:(-+)' ,i,

.) -3+ , (-'i),-z]

' (-rf);

3!:(2,2);_< a.3"r'.7,

ffflffi np""Merr{ere:

q -+,tr*l'I 4.".-1-j'".

-]-t,rz;o

1-7'-"

n) -5,1 :3 + 4,2 : (-2);

-3:0,5 -e :!;-!,r-i'Gz> ;

-s|:1-a; +tl:(-17).

7-12:7-6:l;: (-15) - 74,3 : (-15) -3,2: (-15);

(-6)*n]:(e+vl:(-6);

-rn3,: (-l r) -ro* : (-r r) - u* ' (-r r).

ffi -.E,.F3 np"

"M eruere p arruoHanH o :

ffi C"xparere Apo6ure:

6)

e) J2' '

x+la) !&;

x

s) jq;' x-z'a) Q;

x

.oB) -! -:- -x+ I

-)1u) 5;;-t{o ld;

n)

r)

S'1$[..9 Hanaepere BcHqKlr IIeJIT{ rrucira.r. 3a Kor{ro .upo6ra e ecrecrBeHo trr.rcJro:

-. -15o) -'x

ff.$T'. Hut"pere BcLI'KI,I qen' qo,cJra x, 3a KoHTo apo6ra e qrno orpr.rrlaren'o qr{cJro:

D*6..lffi,i) Hu*.pere BcuqKr{ rleJrr.r qprcra x, 3a Ko}rro apo6ra e qsno qr{cJro:

r)4' x-2

r) 1o'x+3

-18'x

6) !;x

a) f :' x'

.{0

Page 4: matematikazv.weebly.commatematikazv.weebly.com/uploads/1/2/3/8/12383653/sbornik_arhimed-38-52.pdfCreated Date: 11/24/2014 7:48:11 PM

IIpecm

@

PAUilOHAAHT4 rlr4CAA €$

@ a) (-1a:2-18):(-7.3-+): n) (-63:3+18).(-s .7+3t);

ETHETE:

a)(-8.5-12):2+5; n -105 3-(-12:3+i8);(-8.7 -14):5 -14; -235:5 -(207 :3 -208:4);

6)(5-45:5).7-18; r -207:9+380:(26-15.3);(13 -63 :3):2-15; (1,23.3 -2408:4).2+466.

(- 108 + 15 . 3) : (21 . 4 - 105); (-105 : 5 + 8 . 3) . (-84 : 4 + 7 . 3);

6) (7 .2-17).(14:2- 18); r) (-1s.3-72:2):(-7 .2+20 :4);(44:4 -21) .(7 .2 - I9); (-93 : 3 - 98 : 7) : (-91 :7 -90:45).

@ a) [(1s -7 .3):2- 108] :(-37);

l(20e - t7 .7): (-4s) - 3e8l : (-20);

6) [-307 - (s . 11 +77):12] : (-6);

[-123 : 3 - (-8 . 4 - 12) : 11] . (-3);

n) -215 :43 - l-17 .4 - (31 . 5 - 18 . 9)l;

- 189 : 27 - l-102 : 17 - (17 - 45 : 5) .21;

r) -1s .9 -145 : [-18 . s -(-19. 3 -28)];-252: (-21) - 5 .l-207 :23 - (15 - 325 : 13)1.

< '| "-8 -3.5-6. -30:(-5)+1.itla.) a-\ J'\-z'-\:Yr''l */ 2.(-3)+3' -12:3-4' [-7.(-3)]:3'

^., 5.(-1,4)-3 . -3,6:2-5,2 . -4,2: (-5)+1,3 .vt u't '91a19 ' ! I W8'J4)l n2'-1-! 3. 2 3

-\ -1- 3' 5 . -5 .2+3 .(-4). (-8.2):4+20: (-5) .

'/ 4.(L)+5' -5L-3)+4 _L*\ '

-\ -rL,(-s)-3+ 6 -r+ ?-oI,en) . (-utr,:|):{-z)-rr" 4Ls.57-r -QF^ryq' e42 3).0,s+4 '

, i Uut"pere trr4cneHara croftnocr Ha H3pa3a A = 5 . x - 3 : x - 7, axo:

a)x=-3; Qx=-f; n)x=0,2; r)x=6.Harrnepere rrr4cneiraracrofiuocrHa uzpazaA=2.x+3 .y - 5, axo:

a)x=-2; 6)x=-1,5; n)x=-3,5; r)x=-3;r,--?. "--L. 1l tl)r'--J) "y-3, y=-t1 , y--L1.

4t

Page 5: matematikazv.weebly.commatematikazv.weebly.com/uploads/1/2/3/8/12383653/sbornik_arhimed-38-52.pdfCreated Date: 11/24/2014 7:48:11 PM

(} pnuNoHnnHki,ltlcAA

6.-.ffiE Hauepere rrucnenara crofinocr Ha Ir3pa3a A = -3 . x + 2' y - 7, axo

a) x =2;

!=3;

!=-2; ! =3,

ffi uur"pere qxcnenara croftnocr Ha rcpa3a I =Z] - 5 . y -'7 , aKo:J

Hauepere ql{creHara crofiriocr Ha H3pa3a A=+ x-3 ' y+ 2 , aro:

a)x=6; 6)x=-9; n)x=-6; r)x=1,5;5v=-=.'6

s) (x- 5)'.2=-10:2-3;(x+2):3=-14:2-5',

r) (x:2+5)'|=-s .2+3;

(-9:.r-5)'l=t.2+10.

r) x = -5,67;Y = 5,67.

6)x=-2;

!=-4;n) x = 0,5;

Y = -I,3;

r) x=-2!;! = -3,5.

., _ _2.f - 1t

J

r) x = 4,5;5

f --

r) x=-lf.n; t=f ;

ffi Hur.perearucneHatacroftnocr HaH3pa3a A=lx-yl- 3 .lt l+ ly I : 2,axo

ffiE Hu*"pere qrcrenara croftnocr Ha H3pa3a A = -2. x + 3 . y - 4, axo:

a) x=3;

!=5;

a) x=3;

!=-2;

a) x:5;!=8;

Haruepere x, aKo:

ffi {42 x+5=6.(-2)+3;63: x-2=-5+ .3-4;

q 6?:x-8= -a,z.l-z;70:x+8=-16:2-5;

6)x=-3;,r: -4't t)

6) x = 0.6;

! = 1,3:

6) x = -4'.Y = 1,2;

s) x = -3,5;

,, - -t 1

-v - lt !J

n) r = -4,5;2

-l-tt J

n) x = -4,2;f = 1,3;

r) x = 2Lr;

y =_r+.

S-lffiB Hauepere rllrcnesara crofi-nocr Ha lnpara A = x. .r - 3 . .r + 5, aKo:

a) x=4; 6) x=-3;

f.,.-.- E Ha*"pere qlicneriara croftriocr Ha E3pa3a A = 2. i x l - .r + 3, aKo:

a) x=5; 6)x=-7; a) .r = -2.3; r) x=-2L .

ffi Uur.pererll{cnenaracroitnocr HaIrpa3a A=2 -lx l- 3 .lyl-lx+y l, atco:

a) x=5;!=3;

6) x =2;./--t,

n) x=-2;,, - _)'f - L)

r) x=-7;!:6.

42

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PAUI/OHA Hh L4I4CAA €b

B)

r)

"l (tl -') :2 ='1. (-2) - 8 ;

(r*-').0,5 =-8:4-5;

ol (ro1+,)':=-ro :2-5;

(5,5 + x):2= -18.0,5 - 5;

"r (-'i)' -(-?)"

o (-,i)'-(-,i)'s) 12-3 .24 +2 .3';

r)3 .23 -2.32 - 5 .(-1)'.

"r (-'*)' ,r'-(-?)' ,\'.) (-3)' 3'-7' ( +f

a) (r. 4' -2. r'l (-|)"6) (2' - 3r) .(5' - 3');

") (-+)''5-3:22;

or (-'*)' ' ,'-(3)' *,

(-52,5:x+5).2=-20;

(-85:x+8):0,5=-18;

(48:x+7):0,25=-20;

(t.o?.').t-z)=rs.65-..0-B Har"cnr4x eAHo rnrcrro. Ysenuqux ro c 18. Ilonyueuoro qucJro pa3Aenr{x c (-3)

LI IIoJIytlI{x (-4). Koe qI{cJIo clu nauucnun?

ffi Hur"cJrr,rx eAHo tmcJro. Or nauucreHoro rrrcJro r,r3BaAr4x 24.fIoryrcHoro qucno

yMHoxllx c (-12) r noJryr{r,Ix rIpoI43BeAeHI,Iero Ha qlrcJlara (-27) u (-4). KoeqHCJIO Crir,r naUrACm,rl?

€,,ffi Har,aucnrlx eAHo turcJro. Ot37 H3BaAaxHrurircJreuoro qncro. flonyueiroro qucJlo

yMHoxHX c (- 17) H noJryqrlx (-204). Koe .{ucro cru nalrucnun?

IlpeclrerHere:

ffi .)(-+)'-(i)"

o (-;)'-(-l)"

ffi npecMerHere rrlrcJreHara croftnocr Ha r{3pa3a tr = (3x - 2)2, axo:

ffi Up""MerHere qr,rcnenara crofisocr Ha r{3pa3a tr = (2x - 3)3, axo:

a) x: I,5; 6) x = 1; n)r=-1; r)x=2,5.

flt--$-----ffi np""Mernere rrrlcJrenara crofinocr uauzpazaA: (*' - 5)3, axo:

a) x =2; 6)x=3; n)x=-2; r)x=-1.

ffi..B ttp""MerHere trlrcJreHara crofinocr Ha r.r3pina A =lx' - 5 | - 3x, axo:

a; *=l; Q x=-r]; n)x=-2; r)x=22-5.

a) x :2; 6)x=-l; e)x=-3; r)x=0.

43

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€$ pnur,roHAnHr4 vrcnA

a) x=-1; 6)x=5;

6iS---ES npecMerHere qr.rcJreHaracrofinocr Ha H3pa3a A=l*'-yt l+3x -2y,axo:a) x =2;

,, - _').f - L)

6)x=-1;

!=4;

, aKo:

q x=-r|;

! = -0,5;

n) x=-3;t':)'

3a x=-6, !=7;3a r=8, y=9;

r) x = -1,3.

r) x=-lfr

r) x = -2,5.

x = 5,4;

y=-i,4.-1

a; x=-|; r) x=-tl.

r) '=-|;/ = 0,5.

1B) -r=-11 :

6

J...

l :+

_1B) -r=t;

e) r=-li:'+5, --g,

e) x=-t*' r)

, =!;')

5rr - -: .

' 6',

x=-4L:6'ar--1, 5,

ffi,a= (-2*')' .(-3y')o(-6ro yn)'

1

J

, aKo:@ -a=3 . (-3x2 y3)t . (-2ro y')'

(6xn yr)o . !2xy2

*=-!; 6)

Y = 0,5;

a)

a) x=-4;

! = -0,5.

n)x=6; r)

44

Sffi npouepere BepHocr*ra Ha paBeHcrBara:

a)(x+Y)2=x2+2xY+Y26)(x-y)'=x2-Zxy+fn) (x+y)3:Jc3+ 3x2y +3ry? ay^ 3a x=2, !=-3;r) (x-y)'=x3- 3x2y +3ttt -)' 3a x=-2, !=3.

Onpocrere u3pa3rrre H HaMepere qusrenara Hlr crofinocr:

friffi 'q- \*Jxl ' (zr

rsatToir . vir

(*3x)'. (Zxt)o, aKo:

6)a)x=-5;

f,:\ , (2x)t. (6r')-tt,165 I I - -:------j------:-w (--3x)-"

a; "=f ;

/----:j-' , (2rt)'. (4"')tr't.X.:tl 4=' ' '\llf/ " (g"'r)o

a1 ,=-Lo; 6)

, aKo:

5b) x=i:' 6'

, aKo:

Page 8: matematikazv.weebly.commatematikazv.weebly.com/uploads/1/2/3/8/12383653/sbornik_arhimed-38-52.pdfCreated Date: 11/24/2014 7:48:11 PM

PAUI4OHAAHt4 rl[4CAA

( -2r'u' )' / -j \-2.t6s) A =l -^,' I :l -:- L u*o,( ro ) lz*r ro .J '

*""'

a)x=-2; O)'r=-]; B)r=-f;; r)"=#,,=it Y=49; !=-36: ,=-trtz:-l {. ---L. 7--11). .--r2L- ttJ. wtL. a--rj.

t/q.4 6rt ( 3ro )tlm),q=1 "*l l.t *l,aKo:[ 3'u ) \z*,r' )'-a)x=-2; 6)x=-t]; 4r=t; r)x=-5;

l ' rr - -{.!=-li "y --", !=7: y=-I:

"=tr, "=-!; z=-lt ,=0,i.

@ g"p*y KBaAparHa Mpexa naueprafire rpaBobrbnHa KoopAnHarHa cprcreMa Huro6pasereroqKure: A(2;3) v B(4;3), C(a;e v D(a;-2).

a) 3auo npaBara AB eycnopeAHa Ha ocla Ox?

6) 3auro rpaBara CD e ycuopeAHa Ha ocr:a Oy?

n) Kaxuo B3ar.rMHo rroJroxeHr,re r.rMar npaBr.rre AB u CD?

"@ gup"y KBaAparHa Mpexa uaueprafire npaBobrbnna KoopAHHarHa cucreMa.ogHa.rere ro.rKr4re A(5;0), B(5; 3) n c(0;3). Harraepere nepnMertpa r4 nprueroHa r{erupr,rbrbJrHaKa OABC (1 u.ea. = 1 Aeleune).

'@ g"p"y KBaAparHa Mpexa Haveprafire npaBobrbnHa KoopALrHarHa cr,rcreMa.Hauepere nr4rlero ua aABC, arco:

a) A(-l;0), B(4;0), C(i; 3); u) A(-3; -I), B(3; -1), C(t;2);6) l(0; 0), B(5; 0), C(0; a); r) A(-4; -2), B(4; -Z), Ce; e.

@ g"p*y KBaAparHa Mpexa uaveprafire [paBobr6nr{a Koop.qr{HarHa cgcre *ra oxy.OsHaqere roqKrlre A(5,5;0) u B(0; 4). Hanepere:

a) ro.rxure C - cuuerpr4qHa Ha I orHocso Haualcro {};D - curvrerpilqHa Ha _B orHocuo saqa_noro O:

6) nuqero S ua (pnrypnaABCD (1 M.eJi. = I Ae:renrie).

45

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{} rourorontu urc*H14BO B -' 3AAAL{[4 3A CbCTE3AHrlq

GEI [pecMerHere:

= ':t'-e-16=5

= -5: (-1)-rr =

= 25-25=O

-re-st (-,*) .Lr 7 -,,(-+) -e4),.5-6-30

30

fill flpecMerHere croftnocma Ha rupa3a:

,_ 2t r!-z,s (tr*-rr,azs) (-t3)

F;A-q-6-@Pemenne:

r _ 2t _rj_*_(**-rr,szs) (-ri)_L4a r+_rf-@=

_ ,, _ tlr-rL _

(rri -r r3) (-3) _-fl-'14-'15- 5/-8\-=

40 5 '18 '18 8 \-El

_ zt _'2-rZ *("?-"3) (-3)_-- -r- -r -40185

46

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PAUT4OHA Hil qilCAA

=_120_*.'3 (-g)

ll-18 -5

to . /_g\=-I2o-*,*--9-y

5

=-120-21+10=

=-l4l+10=-131

fil Harr,repere.r, aKo

Peruenue:

[z- {-8 , f.zL*u:3=-r.L ,'(+-+)1"'

l, .r-8 .1

^,

l'-;6;l 'i.rr:3 =-r

t.rL'ffi] '+.f =-r ---> l! +2=5

I I =5-2

l,-#1,+1,.#)+

., J-8t2

., I-8l2

;r-8t2

(-r-8):12

, 11=-t -- )

_ _r4J

147=--'_3'3

-_1

- _', _1

-_o

=-9.12

= -108

=-108+8

= -100

Z. z=6O=6:2

[ +2=5E=5-2

D: 2=3D=3.2

D -2=3J=3+z

x-8

.r-8

x

x

47

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f,$ pouroHon*, urc*

lElll Hauepere r, aKo

Peurenue:

F, ,rtr-",2):(-3)+4

lr,rtr

g\7)-t ,1 *zl,(-t

-, ' z): (-3) + 4

=(-;) (-+) (i)

= (-+) (-+) (-+)-'

' i *z|,(-'+)

(-t 'tr-',2),r-zt*q-rs+f (-?)(-3-x:2):(-3)+4

-15-1

(-3-x:2):(-3)+4-i6

(-3-x:2):(-3)+4

(-3-x:2):(-3)+4

(-3 -.t : 2) : (-3)

(-3 - x: 2) : (-3)

__18

-3-x:2

-3-x:2x:2

x:2

x

x

-)=2-4

-_1

= -2 . (-3)

-6

---3-6

-_o

-_o 1

= -18

O:2=33=3.2

[+2=5D=s -z

l: 2=3f1=3 .2

s -l=z3=s -2

J: 2=3n=3.2

__1 __>8

__l8

=-!.r-rrtg r .",

_>

Ifpecrrernere crofinocrra Ha rracrroBrTe f,3pa3x:

@ "r [(zzfr -t3,4 ,)'(-*) -n] z; ") [-rs -n (st !el

[(ra,: .z-:r,t) (-r+)+:,s] oo; r) -27*: [rs-(z

48

-.a,a7 z)] :;

:|-rz,+)].

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lf,ll npecMerHere croiiHocrra Ha r43pa3a

a) x=4;Y =2;

6)x=-4;

B) x=-rO]; r)

v = 2o!:'/'

.,1=l,l _l- ylyx

n) x=4;-v - -Lt

, aKo:

r) x=-4;a

J u'

PAUI4OHAAHt/ qHCAA

x = -103,17;

! = -205,18.

^)l-tz., (,!-3,3 z)] rs -4 o,e);

6)lzr+r: (s,: r-15i)] .G7+e.0,6);

u) lrs,e (-3)+7 (8 .a,z-o,Df(s-s

J);r) -as+7.k .1,6-4. (:. r,s--+)]

u) [(i:,+ z-27,3),*-rr] :?2);

e [9 : (-0,5) -12 . (5,i : 5 -2 .0,07)] : (_10) ;

n) -27+: f-s,(-+) *(rz,+-:f z)];

f) (e. 0,5-7) l-rr-r:. (s,: ,-15;)].GDI g*.pere qucneHara crofiriocr Ha H3pa3a A = (a : 3 + b : 5) . 2,3+3,7, axo:a)a=12,6; E)a=1g,3; n)a=21,3; r)a=24,9;u=-t+; b--4; u=-r+: b=_n+.Ell Haooepere rr'cn€uara crofiHocr Ha H3pa3a A = -27,5 -2,5 . (a :3 +D) , aro:

a) a=36,3; 6) a=42,9; a) a=51,3; r) a_123,6;n--tlo=-/11 b=-5,3; b=_7,1; b=_21,2.

Ell gu^n.pere rrucnesara croftnocr Ha r43pa3a A = -5 . a + 2 . (b : 5- 3,7) , axo:a) o =7I; Q a =8t; n) a = 10,62; r) a =tz! :

o=zo*t b=rt+; b=ro+; b=rr+.

flpecnaernerecroiiHocrrana H3pa3a n=Ar- y -? ^-"^.

a)x=5;

Y=-3:

6) x =3,7;

,,-11.r' a.J

49

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@ rouroronru urc*lllll npecMernere crofiuocrr a Ha u3pa3a .t =1, - 2l -lz - y

I *l I - r l, arco :

a)

Hauepere

@a)6)

n)

r)

@a)6)

l)A=

=

2)* =

x=3;tt=)'

x, aKo:

x : (-2)+r7,5= -5+ .1fr+7,s;

Fr+) (--i) -x:2=-3+ 2,4-z z\;

2 . x-t ' (-t?)= 5 +3 : (-0,5) ;

-Z!.t,2 -6 . x = -3,25 t* - u.

(72 +9 . x) : 6+ 5i = -216 : (-4) ;

-31 : (-0,2) -(20g +203:x) : 60 = -38 : (-+) t

(-zr')o .(-lry')', J \if v'

(tzx' yo )'

6) x: -3;rr: 5'.f "t

, r2

\I2x'y')(-2)o xt'. (-3)3 x3 yn _

(12)'x'o y8

zo x'l . \_t)_. E_' yn = _3xy;

+.J x y

28 +4s -83ze -162

y + 0) H HaMepere qr{cJreHara

s) x=-4;tt :

-n)'J -)

r) x=v-

5 5.

55

i.x(

l"-t

a)

a)

S! onpocrere uzpasa A=

(-z*' )0. (-:'y')'

uy croftnocr npr.r " =

2t^f 4',;,8' 14 y ={-4

peureHue: 2e -162 " /

3t -3n

- 2'+2t'-2e -a9 n8L -Z

A= -3xy

28 +2r.22 -28.2

/e+q-D .=

/*' =t'

50

r8,r .18L . L_ L

x=3

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pnuiloHnnHilqilcnn ffi

onpocrere u3pa3a o--(-r:'-:^ l' , [-oo'a' )uid '=[ * J'[-l;t-) :"*:'u*o'c+o)

HrIPe-

cMerHere .rrl crre'ara rrry crofinocr ilpH o'=+l!, , b =l-t | , (2, -:t ) vr

c=2:(-i).3s :(-e)2.

Peruenne:

1) A = (-ao'!o\' . (-qo'_t' )u _ (-8)'o',b,0 3,,",, _l. 9c* I [ 9c' ) 3'o.r'o 2r2 ot26tx

-8.9 . a3b2 -72a3b2 .t _ 72a3bz= ____7_=__7_ ^=__?_

2\ a - z' +zu==zlQ+t) -t. I-) - 2s +2,

_ Zr 12a11=

j; o=;

o = l-tl:(z'-3')=1 :(8-9)=1 :(-l) =-r; b=-1

c =z (-+)+35 :3a=-6+3=-3;

-t't .1 .t5\t - E -i) n =--l-=-tt

GEI o.rpeaenere n raKa,r, 3. ll =z+.' (-eYPeruenr.re:

an 15J J _ 1A(-e)'

an r5JJ

:/4

92an r5JJ :/4

6r)'an r5

:)AJ

3, -3u _3u.3-3u :n.11-t;3*-3" 38-3t.3 38.(l-3)

-3xy =-3 . 3 .(-ii= t

I

t 163)Y =

4)A=A=

-2.38I9

v=-t

3)

4) c=-3

A= -l

.n a5JJ=/4;4 a4

JJ

t-z = 24J

3n-4 = 24+3;n-4J = Zlcn-4 a3J =J

n-4 -3n =7

5l

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{l rouror"n*, urc*

@ orrpocrerer.Bpa3ir u-Q")''(:?l')' (.r*0) HHaMepererr'crreHaraMyuroF*rocr,aKo: (-ot')'

a) x=2-(-2)'; O'= +; n) '=#; r) r=#.

GD orrpocrere v*pa3a n =?sl)' , \:!,')' (x * 0, y + 0) r4 HaMepere qucneHara Mycroftuocr, aro: (tst'yt)'

a) x=-2; 6) x=-lZ, a7 x:S|; r) x= -13,21;

! =2; y =3' +3;, =-rlt | =13'21'

GFI gnpocrere uspa3a o=(,ll' Z rL,,'?',,, (x +0, y +0)H HaMepere qHcrre-' (6rn yr)* (-zt'l)'

Hara My croftHocr, arco:

g *=-|; 6) x=-al; n) r=49; .1 r=|;-.- i. 5' v--l 'y = r; , =#t Y =-7; -r'= -3'

Gll [pecMer'erecroftuocrrarraE3p:B:r,= jt l - W, @*0; y*O),KbAeroI -

' (tt)" (y'')'Y" / -'>---

x=!'' !=3'

ftlf npecuer*ere croftuoc'a Ha r.Bpa3a n-bt)' ' !?")r -F- *l @*0), xr'ero--r ^ (6r')'-^, - t.

GEI ilpecMerHere crofinocrra Ha r.r3pi* u d=f ,=11-\ (x+0, y*0), KbAerox=-1,!=-2. (rt*.tyz)'

flftfl OnpeAenere n raga, t" z' rl) =n.

52