MOAvnb
I)) AM = x cm, BM = (r + 6) cnn. x'f (x ): 6) = 42; 2x -l 6 = 42; 2x = 36; r AM = la cw, BM = 18 + 6 = 24 (cur).
. CI4CTEMATU3AU|9 TA ySArAIbHEHH9 I METoAIB nnlxltvtsrpli
1
..,' onrng
$ 1 .1 . Ilpo
ll) AM = x cttr, BM = 2x cr,tt. x * 2x = 42i 3x = 42; x = 42 : 3; x = 14. AM =14clu, BM =2.L4 = 28 (cu). f) AM = 3x ctttt, BM = 4x c:lr. 3x-t 4x = 42;7x = 42; x ='6. AM = 6. 3 = 18 cltr, BM = 4 - 6 = 24 (cwt). A) AM = x cm, BM = 2x ctl. x t 2x = 42; 3x = 42; x = 42 : 3; t = 14. AM = 14 cw, BM = 2 . 74= 28 (cm).
norirry no6ygoey nnaxiruerpii
1.1.8, f. Ha npsMift ogna i rinrxa oAna Jrerr{r{rb mix 4eoua inruzuu (axc. II,). flpra qrolry Moxrnsi Tpt4 Br?rnagxrz BBaeMHoro poslrirqeuus AaHsx roqox Ha rlpg-
1.2,3 rprox roqox
uifi. 1) TouraA rerrtr,rrb milrc B i C, roAi aa arc. III, BC =AB + -l AC, are 1,38 4rvr + 2,72 aw + 1,34 gM. Touy rare poe-
-"""
uiuqenna HeMorrurrrBe.
2) Toura B .nesczrr uim A i C. AC = AB t BC, ane I,34 ptr + * 2,72 gM, + 1,38 ,qlr. Taxe posrrirqeHHs rorrox rarcorr{ He-
-"-*t-
MOXInBe.
3) Togi eAnne Mo*cJrr,rBe B3aeMHe poauirqenna rpbox roqor A, B i C raxe: Toqra C .nerrtr.rrr irdnc A i B. fleperiplrmo: AB =
1.9.3a axciouonIII,: IPOM = IPOA + ZAOM. A\ IAOM = xi ZPOA= x * 4O; rc + xc + 40 = 160; 2t + 40 = 16O; 2x = 120; x = 6O. IAOM = 6O'; IPOA. = 60' + 40' = 100'.
E)ZAOM=rciLPOA=x-60:
-r--1
AC + BC, 2,72 sNr = 1,38 ,qM -l 1,34 4ttt; 2,72 +nt = 2,72 arr. BiOnoailu: ro.{xa C JreJrcr{rb nri:x roqxauu A i B. =
r't x -
1.S.Ocri;rsxu
ea yuonoro
M
\2\/_
nnyrpiurnn rovrca ryra.AOB,
- mirx croponaula xyra AOB. OM npoxogurt Hexafi ZBOM = ,t,.ro+i IAOM = 2x. 3a aftc. III2 ZAOB = ZAOM + ZBOM,' ro
nporrnirr,
l5O = 2x
+.r,
150 =
.BOM = 50", .AOM Biinoaido: E) 100'.
-
.
OB
3t, * = 50. .
cru.
T
-fi-h
1.8.
A
3
6
B
1
4
B
b
2
f
1
4
A
5
2
.--y4
A
3
4
E
1
6
B
4
3
f
5
2
.4
3
4
=OA- OB = 7,3 - 5,8 = 1,5 (cu). _----.-- X rexarr xa ognift ninnparriri o no- 6----;---T rrarr(ciBoro ror{Horo o, ro sonra He poSAiJr,frorr,ca roqKoro O, ro6ro, ro.rxa O He Jrefirr,rrb rvrirx ro.*tarvru A i B. flrcu1o 6 ro.rxa A .nexa.na uint rorrr(aMLr B i O, ro BvxorryBaJracb 6ra pinnicrr OB = OA -l AB. A.te qe lreMorlcJrtlBo, 6o sa ymonoro OA > OB. Orxe, rovra B .nexrarr Minc ro.rxaMr,r,4 i O.
l:Iexafi ro.rrcr.r -4 , B, M nexanr na oAnift npsrvrift, ro4i rimxr oAHa s Hr,rx Jrerrclrrb ruix gnorta iurtrt4Ml4, i sa a&cioMoro nrzuiprona4na rigpiertin BrrrcoHyerbcs oAHa
A
rr
cltt, BM = (x - 2\ crt. (x - 2) = 42:' 2x - 2 = 42; 2x = 44t = 22 cv, BM = 22 - 2 = 20 (cn).
fd*
B) ZAOD = rci ZAOM = O,6tci x * 0,6x= 160; 1,6* = 16O; x= 160 : 1,6; * = 100. /AOP = LOO'; ZAOM = 0,6 . 100" = 60'. f\ IAOM = tci ZPOA = 3xl x I 3r = 160; 4x = 160; r = 40. IAOM = 40'; ZPOA= 3 . 40" = 120". I) ZAOM = 3x; ZPOA= 5x; 3r 't 5x = 160; 8r = t$Q; a = 20. lAoM = 9..20" = 6o"; ZPOA = 5.20" = 100",
1.12, Iloscnesna gzr. N! 1.2.
-
624
= 110.
BiOnoeila: L,5 cm,
AM = x
x* AM
r
+ AB; AB Ocxinsnrz ro.rxr,r A i B
ctlc.
flpr.r posn'aeanni 4iei aa4aui Ba Kon{Horo B yMoB A-A cxJraAaerbc.ff piBHsHHf, ocnoBoro ,snoro e pinnicrr nacriAox s aftcioMr.r III,: AB = AM + MB. A)
60 = 160; 2x -- 22O;
l.11.OA=OB
Bi4cranefi uinc cycigniuu roqxaMrr Ha o,q[ry Meurue, rlilr{ caMr.rx rorror. 1) = 60 BiOnoaiOa: E) 60 cu.
-
e l; P e l; S e P8; W e Pqi B e l; <rouxa S.nexrarr nainr toqrcama P i 8>. 6) R e m; C e mi B e MR; M e -41?; <rouxa X se.nemr,rrr uin< ro.rxanrra/. i M>.
BiOnoai1o: B) 4,5 cu n 7,5 cu.
-
= 16O; 2x
1.1O. a)V
50' 2 = 100'.
1.6.3a axc. TII,AB = AM + MB. AM = x cm, BM = (r + 3) 12 = x 1- (r + 3); 72 -- 2x + 3; 2x = 9; x = 4,5. AM = 4,5 ctr; MB = 4,5 + 3 = 7,5 (cu).
1.7"3 cu.(21
6O
IAOM = ll0"; IPOA = 110' - 60'= 50'.
1.3.A, A. 1.4.8, r.
= 18.
l) AB = AM + BM; 8 = 3 + 5 2) AB=AM + BM;L9 =7 + 12 3) AM = AB + M B ; 27 = 22 + 5 4) BM = AB + AM ; 2L = I + 72 -
piBeHb
liilt{ifli;il
M JreJrct4rb rvrinr ro.rxami,rA i B. npanu.nrno. To.rxaM relrcrarr rrrix roqrcaMl,IA i B. [paBrJrBrro. To-rxa M,nexrr,rrr rrrix< ro.rxandla A i B, npaBr.rrrbHo. To.rxa A aerxarr uinc ro.tcanrz B i M, npaBrrJrbno. To.rrca -d. .nencrzrr rvrinr ro.rxarvrra B i M. rpaBr,rrrbHo. Toqxa B .lrelxr,rrr rvrix to.rxairrr,r-4 i M.
flpaBr.rJrbno. To.rxa
5\ BM = AM + AB; 37 = 2l + 166) AM = AB + MBi 33 = 18 +'15 -
x = 22.
reouerptg sinsxina o. 9. ra ix. Axa,qeuirHri
pirnocrefi:
iiiiiiiil;{il*i IEOMETPI9 Einqxina O. 9. ra iH. Ara,4eMi,{nraE piaenu
!{ti
625