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davweroT (x 1 , y 1 ) da (x 2 , y 2 ) wertilebze gamavali wrfis gantoleba.<br />

– y1 = kx + b 1<br />

y = kx + b<br />

y = 1<br />

2 2 c a x1 + b ⇒ b = y1 – c a x1 aqedan<br />

___________<br />

c = ak y = c a x + y1 – c a x1 da<br />

k = c a<br />

saZiebeli wrfis gantoleba iqneba y = c a (x – x1 ) + y1 .<br />

vaCvenoT, rom am wrfeze mdebareobs nebismieri (x ; y ) wertilic.<br />

k k<br />

y = k c a (xk –x1 )+y1 , aqedan y1 + (k–1)c = c a (k – 1)a + y , miviReT 0 = 0.<br />

1<br />

e. i. aseTi Tvisebis mqone y=f(x) funqcia wrfivi funqciaa.<br />

ra geometriul figuras qmnis yvela im wertilis<br />

simravle, romelTa ordinata nebismieria, xolo<br />

abscisa a-s tolia? (pasuxi daasabuTeT).<br />

imedia, sworad mixvdiT, saZiebeli geometriuli figura<br />

aris y RerZis paraleluri wrfe, romelic x RerZs kveTs (a;0)<br />

wertilSi.<br />

aris Tu ara mocemuli wrfe raime funqciis grafiki?<br />

e .i . sakoordinato sibrtyeSi mocemuli nebismieri wrfe<br />

moicema y = kx+b an x = a gantolebiT .<br />

ukve advilad SevZlebT pasuxi gavceT paragrafis dasawyisSi<br />

mocemul amocanaSi dasmul SekiTxvebs.<br />

amoxsna:<br />

a-b) cxrilidan Cans, rom argumentis mniSvnelobebi izrdeba 2-iT,<br />

xolo Sesabamis funqciis mniSvnelobaTa nazrdi 8-is tolia, e.i.<br />

mudmivia. aseTi funqcia wrfivi funqciaa. wrfis gantolebis<br />

dasawerad y = kx + b gantolebaSi CavsvaT romelime ori wertilis,<br />

magaliTad, (0;60) da (2;68) wertilTa koordinatebi. miviRebT<br />

60 = 0·k + b<br />

, e.i. wrfis gantolebaa y = 4x + 60.<br />

68 = 2·k + b<br />

g) Tu x=7, maSin y=88,<br />

e.i. 7 wuTis Semdeg temperatura 88°C iqneba;<br />

d) y=4x+60 gantolebaSi y-is nacvlad CavsvaT 80.<br />

80=4x+60<br />

x=5.<br />

5 wuTSi.<br />

e) funqciis gansazRvris area [0;10] Sualedi.<br />

x 2 –x 1 – argumentis nazrdi;<br />

y 2 –y 1 – funqciis nazrdi.<br />

ΔABM=ΔBCN ⇒∠BAM=∠CBN<br />

C∈AB wrfes.<br />

x=a<br />

17

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