Math 3 prim t2-web.pdf

dGh HdG IQGRh QN dG Gg hGH e Z

...eCG h ijY ..G ijYJ dh ,VjdG d IQG dG V dG Gg d f CG fj

:MG H EG j a f dG Gg e IFdG:khCG.M dh b d edG a e cCdGh dG FG IAGb Lj

:kfKiMEG `dG `c`j CG `jh ,IO`e ``U HLEG GP SCG H LJg SCG g e dh .dCG a e g kah HLEG g H hCG

.GHEG d SSCG NG:kdKHh ,iNCG aG h VjdG H UGdG dGREG fL Qb dhM

dG Kj AdG c GPEGh ,gG eH j a ,dG IGh VjdG.FGHG MG e CGJ dd G jGdG Ea ,ffEG aG IMh Y G kcj j GPEG M ,dG a j e d jYh gCG J CG bj ddh

.dG g zVjdG{ EG: kHGQgG jJ jW Y dP jh ,fGLdG GgCG H G GgCG J

jdG LhCG H J fL EG (fdG dG e) YLG jdG H AGREGJ e dG e j b e J CG Y Ea K eh ,IOG SGQO AGREG Gh

.SQG feG a ke IOY j dP CG H aN hCG be hCG: keNfNCG a ,e a d edG jH fQYG a fNCG fCG VGdG e c GPEG

dG aG J H eh ,VjdG J a jG gG kjCG fQYG a.HG dG AGLEGh fG dH UG UdG b OGYCd

: kSOSG EG b UN LHh ,dG Gg OGYEG Y jG SQG hX YGQ d.dG QdG AGLEGh SdH UG GhOCG SG e fOCG

: kHSIOe IQU J CG jQdG OJ .jQJh fCG IMh c jf a LJfEa ,fCG eCG .gj S c IMdG g L AV a GQNG e,VjdG a dG fCG AMEG H bh ,IMdG Ve kfMCG RhJ bbdG a FGKEG fCG H Jh ,IMdG L YJ `` Y LH `` gh

JGP.fOH N a e EG dG ah

dDG

dG :hCG IMdG:hCG SQdGUGNh dG Y LGe:fdG SQdG10 * dG

:ddG SQdG100 * dG:HGdG SQdG1000 * dG

:eG SQdGMGh bQ e e OY a cCG hCG bQ e e OY VhCG IMdG fCG

hCG IMdG jQJdG :fdG IMdG

:hCG SQdGdG Y e:fdG SQdGdG QN OjEG

:ddG SQdGdGh dG H bdG:HGdG SQdGjOdG OGYCGh LhdG OGYCG

:eG SQdGMGh bQ e e NBG Y OY bfdG IMdG fCG

fdG IMdG jQJSdG :ddG IMdG

:hCG SQdGG:fdG SQdGMG

ddG IMdG fCGddG IMdG jQJQdG :HGdG IMdG

:hCG SQdGJAGbh dG e:fdG SQdGjhG QdG

:ddG SQdGQdG J:HGdG SQdGjc H fQGh QdG JJ

:eG SQdGQdG Wh LHGdG IMdG fCG

HGdG IMdG jQJSdG :eG IMdG

:hCG SQdGIQGG Sb:fdG SQdGGWCG Sb

:ddG SQdGGRhCG Sb:HGdG SQdGedG Sb

eG IMdG fCGeG IMdG jQJ

MGh AMEG :SOdG IMdG:hCG SQdGfdG :fdG SQdGMG

SOdG IMdG fCGSOdG IMdG jQJ

edG jQdG fdG SGQdG dG Y eY LGe

127

1021

14171819

026292

33353839404145484950515354565759616364676971737475768084868792

2fdG SGQdG dGFGHG ddG dG

(1)HG dH WCG OY Hc fCG J dG eY GSH:JBc

522 5++5 : CG dP j

WCG OY CG iCGj dHh

:jdG H cCG 722....... = ....... + ....... = 9....... = ................. = 4 6....... = .................. =1

522 5 =++10 = 510

...... = WCG OY =

3VjdG

)2 (:CG kjCG J 6 22 =22 6

.OGYCG d dH U Ggha)u(HG dH fSH dP e

:cCG75 =5 ..........6.......... =36 229 =9 .......... ..........8 =85

:j e cCG ,dG e LG (3)64 =63 6 + 164 =65 6 - 175 =7+ 4 .........89 =8 8 + .........75 =76 .......... -

:HG dH fSH cCG (4) 4 = `````c GdG OY........ 4 = AG`G GdG OY........ 4 = AbQdG GdG OY........

Hc dP e 4 4 = 8 4 + 5........

:cCG 7 6 7 = 7 + 4.... 6 9 6 = 6 + 6.... 8 221 8 = 8 + 9.... 9 ....= 9 9 + 98 5 .... 5 = 5 + 95.... .... 3 = 3 + 98


:HG dH fSH cCG (5) 5 = AGG GdG OY........ = ........ 5 = AG`G GdG OY........ = ........ ........ = ........ + ........ = ``````c GdG OY22

5gh OdG f e H Y J GdG g CG fYG GPEG fEa 3:IQdH Gd dG OdG Hc

5 322:dH jh

5 322 5) = (322 ........ =2230 =U a Gc 5 c J H U a UUe GdG g CG fYG GPEG eCG

3 dG OYh22:Hc fEa 5 322 5 = 3)22 5 = (30 = .....

:CG if dP e

5 322 5) = (322 5 = 3)22(

: CG M OY iCG5 : e OdG f = 11 =5

OY iCG5 : e U = U0 =0 1 OdG f = OY iCG

UU = OY iCG

5VjdG

:cCG (1) 322 ...... + 3 =, 7...... + 7 = 4 66 + 6 + 6 + 6 = ......, 8...... = 3

5 = 5 + 5 + 5 ......, ...... = 9 + 9...... ...... = 7 + 7 + 7 + 7 + 7...... , ...... = 1 + 1 ......

)2:cCG ( 3........ = 7, 4........ = 5 822........ =, 6........ = 4

22........ = 9, 3........ = 82210 = ......, 48 = ......22

......30 = 6, ......7 = 1 ......35 = 5, ......1 = ......

:cCG (3) 6 5 = 5...., 4 7 = ....4

....22 =229, 3 5 .... = 4422 6 .... = 55, 3 5 3 = 4....

62222 6 =...., 5 ....5 = 6226 .... .... = 9229, 8 4 = 9 ....9

22 1 = 722 ....7,4 5 30 = 6....


:cCG (4)

7 7 = 5 7 + 3 ...... , 822 8 = 1 8 + 8...... 9 9 = 7 ...... + 6 , 5 ...... + 4 = 4...... 5 ...... + 5 = 4 ...... , 8 8 = 8 ...... - 9

:cCG (5)

722 7 = 1 7 + 9......, 6 6 = 17 6 + 9... + 63 =...... = ...... =...... +...... =......

3 3 = 15 3 + .....9, 5 5 = 13 5 + ...... =...... +...... = ...... =...... +...... =......

7VjdG

:HG dG a (1) :cCG10 + 10 = dG OY

10 =0 = .......22

)2:HG dG a (G``dG OY + 10 =........ +........

........ = ........ = 3

:cCG (3) 10 + 10 = 4........ + ........ + ........=........ 10........ = ........ + ........ + ........ + ........ + ........ = 5 10..... = ........ + ........ + ........ + ........ + ........ + ........ = 6

:JBG hG cC K dG JG M (4)

110

22330

456789 10


:cCG (5) 10 + GY 6 = GY Y = 10.........GY

60 =+........ = ........ 7 10 = 10........ =........ + GY 4 = GY.........GY

........ = ........ + ........ =

:`````X````e

220 = 1022 3 , 4 ,30 = 10.Gg ....... ,40 = 10ak: 70 1 =0 17 =07 15 ,0 = 10 1 = 150,15

6801 =0 168 =068...Ggh

9VjdG

:cCG (1) 810 10 =........ = ........ ........10 10 =90 = ........ 1022 10 = 3........ = ........ 1022 1 =22 1........ = ........ 5 7 ........ = 10........ = 10 ........10 10 =530 = ........

)2 (GSH HdG FdG U e .G SM

(3). kTb N e MGdG K ,UUQ bCG 10 AGT a hAQ aj kTb c MG....................................................................................

(4)Y GPEG GQf aJ c MG ,Hch SGc 10 GQf TG.L IY dG Kh L KK SGdG K CG...............................................................................


:cCG 10022........ = 100 + 100 = 100........ = ........ + ........ + ........ + 100 = 4 100........ = .............................. + 100 = 7

100 CG EG f M jdG H f CG h1000 = 10:CG QYG dc

10010.e Y =.e N + e N =

1000 = 500 + 500 = kjCGh 10010.e Y =

.e K + e S =

....... = ...... + 700 =Ggh...

:JBG dhG a S e

100........ = 0 100........ = 1 10022........ = 100........ = 3 100........ = 4 100........ = 5 100........ = 6 100........ = 7 100........ = 8 100........ = 9 100...... = 10

:cCG 0........ = 100 1........ = 10022........ = 100

3........ = 100 4........ = 100 5........ = 100 6........ = 100 7........ = 100 8........ = 100 9........ = 100

10...... = 100

11VjdG

:`````X````e2200 = 10022 5 , 9 ,500 = 100.Gg ....... ,900 = 100

:ka 700 = 100 18 ,700 = 100,18 3700 = 100....Gg ,37

:cCG (1) 6 100 = 100..... = ..... ..... , 100 = 100700 = ......22 4 ... = 100... = 100 100 ,822 ..... =..... = 100

100 5 100 = 7... = ... .... , 100 = 1007400 = .....

)2:cCG ,S 100 = G CG J ( ,S ...... = QeCG 7 7 C...... = 100 ,S ...... = QeCG 9 .. C...... = 100

522 ,S ..... = G ke .. C...... = 100

:cCG ,fH jT mL 100 aj OY dGh CG Y GPEG (3) ,L ..... = TCG 8 a aj e 8 C...... = 100 ,L ... = TCG 10 a aj e 10 C.... = 100,L ... = ec S a aj e ..... C..... = .....


:cCG 10003........ = 1000 + 1000 + 1000 = 10005........ = ........ + ........ + ........ + ........ + 1000 =

1000 CG EG f M jdG H f CG h10000 = 10:CG QYG dc

100010.BG IY =.BG KK + BG S =

10000 = 3000 + 7000 =:cCG 100010.BG IY =

+ BG 4 =.........BG =........ +........ =........

:JBG eCG M 8 8000 = 10009229000 = 100022

4747000 = 1000

:cCG (1)71000 1000 =................ =

........1000 1000 =........9000 = 22

41000 ........ =1000........ =3 ........1000 ........ =10006000 =

22 ........1000 1000 =........10000 =7 ........1000 1000 =........56000 =

13VjdG

)2:cCG (30 40 100 =........ = ........8 50 ........ =100........ =6 0022 ........ =100........ =10 170 100 =................ =

........ 10 =22 5 100........ = ........ 100 ........ = 10007000 =

:cCG ,GL 1000 = GLdG CG J (3) ,GL ........ = eGLc 4 4 C........ = 1000

22 ,GL ........ = keGL `c 1 C22 1........ = 1000 ,GL 34000 = keGL c ........ ........ C ........ = ........

(4)L 1000 G MC HdG Se j:G Gg HQ j CG bJ GPe ,vYSCG

( CG ).......................... ?HSCG S a()........................ ?HSCG fK a(`L)...................... ? kYSCG jY a


:(1) ``e V UM LhCG22 1:4

CG M221HG OY g 4G G jj dG IdG

.HG dH gOY He e j fC)22 + 122 + 122 + 122(1

= IdG HG OY22 10 + 4448 = 40 + 8 =

:JBG IQdH G Hc dHh

.........40 + 8

2214

2210 +4

:(2) ``e3 V UM LhCG22 1:53220 + 3 = 122100 +

.........

32215

615 = 500 + 100 + 15

0 + 322100 +

5

CG iCG22 148 = 4 4 dch48 = 12

3 CG iCG22 1615 = 53 dch22 1615 = 5

He e j U c CG M.MCG fd He 10h UCG fd

15VjdG

:cCGh M (1)

615

32215

.........

952236

43736

54678

11136

784224

553 1 1 133

)2:VG (

.........

34222222

.........

67439

.........

54894

.........

342263

623418702 = 3.G SM SH HdG dG e Y c f U e cCJ

(3)

G K c GPEG e aO c .dH d TdG e QeCG 3 e iTG? kL 89 MGdG

.......... = TdG K . kL .......... = ..........

(4)iTG , kL hY eh d O gP

22,GLd L 3 H WdG e c K QG e eGL ch22iTG c L

H JdG e c 322c ,GLd L?dG e LhN Y O e J kL

f g SCGQ jH dG UM CG MaCG jH dG UM

1 1


:cCG (5)

4515

6457

3 7 2

6 576

222131

36 8229

983490 = 5 5 =4 3231347

5 866

:dG H cCG (6). ...... , ...... , 625 , 125 , 25 , 5

. ..... , ..... , 10000 , 100 , 10. ...... , ...... , 216 , 36 , 6

SG edH cCG (7)> hCG= hCG

17VjdG

(1). bQCG 4 e kfe G kOY MCG c?HV UM j a ,8 g OdG Gg bQCG CG Y GPEG

)2( 7 CG f 7 ,35 = 5 = 622 7 ,4.56 = 8:JBG cCGh jhG g SG

7 .... = .... + .... = 11 7 ,.... = .... + .... = 14 7 .... = .... + .... = 13 7 ,.... = .... + .... + .... = 19

:CG Y GPEG (3) 49 49 ,343 = 71470 =30

:cCG 49 = 70...., 49 = 3.... 49 = 77.... +.... = ...., 49 = 33.... +.... =.... 49 = 37.... +.... = ...., 49 = 73.... +.... =....

(4)(G SH fSG ) :JBG jhG U e 22 = 322++ 3++ 3)(9

5 = 75++ 7++ 7)(9 3 = 63++ 6++ 6 )(9 0 = 80++ 8++ 8)(9

HG K ,Y e iNCG G kOGYCG uLGP, kFGO kU dG Gg j:JBG jhG (jdG H) cCGh

7 = 47++ 4++ 4)(... 8 = 68++ ...++ 6)(...

....................................................................... = 96

....................................................................... = 84

....................................................................... = 59


:dG LhCG (1) 7... = 10, 8... = 100, 9... = 100022 4... = 100, 722... = 5,022... = 100

)2:JBG hG cCG (5221

7003900100

100

:JBG dG Y LCG (3)

.........

1146

317 ..... = 9

255 ..... = 5

.........

3087

:cCG (4)

54 8

9 36

223

22 022

5 6 3

59

(5)K LhCG K . kTb 675 MGdG G K c GPEG ,TdG e Q`eCG 8 K LhCG80.TdG Gg e G ke( CG )...................................................... :QeCG 8 K

().................................................... :G ke 80 K

SdGRhQ He


(1)OGj NCGh MCH fe Gc 8 j dGAT NCJ H ffh AT H jRJ

.AGG GdG ff NCJh ,AGG GdG

: dG Y e

:cCGAG````````G GdG OY................ =AG```````G GdG OY................ =

;GdG e OdG f dG e c NCS dG g a.dG H ihdH b GdG EG f dd

:cCG ......... = 822

21VjdGSdGRhQ He

(2)H ihdH J OGj Ic 13 j dG.ch SHh jT

:HG SdH fSH cCGCG GdG e OY cCG

......... = e c gNCj......... :G GdG OY

......... = 13 ......... + 3

7 = 70 CG Y GPEG (4)x: ddG dG cCG 10

WCG ........... Y ihdH iM b .......... jRJ Y.iM b ............ W c NCa ,edH jRJ J

(3)( CG )............................... ?W H ihdH bCG 7 jRJ g().......................... ?e c NCj CG bCG e OY cCG e(`L)................................................... ?G bCG OY e

........... = 722...... +


jhG J dG JBG dG Hc cCG (5) 6 = 48x8

jRJ eCG ,eJ ........... Y ihdH SGc ........... d.AT sj h ,SGc ........... J c NCa ,edH

:JBG jhG e vc d Y e b cG (6)

( CG ) 10 = 303()622 5 =1 + 5(`L) 9 = 38 + 422(`L) 9) = 67 10) + ( 3 (4

:HG dG e IMe b cG (7) :dG...................................

...................................

...................................

23VjdGSdGRhQ He

dG eY GSG

(1)

)2(

iM b 18 J Yc Ea WCG KK H ihdH.iG b OY f NCS WGSH OdG Gg Hc h

) dG eY:JBc (

18 = W c f(3 Y 18 CGJh) 3:a ,ihdH a W H iG g b GPEG eCG

......... = W c f.........

Vh FY IdGh jJ22a dJH 14OY f W c a j H WCG

.JdG:cCG

........ = W H JdG OY........

(3)WCG a MJ 15 Vh e IdGh jJ.MJ 5 Y W c ij H

:cCG ........ = WCG OY........


(5)4 f OGj22GSH SCG IQTJ IQ`dG fc GPEG .f f IQS

22Ie c a IQT 1.:cCG

.... = eRdG GG OY....

(6) Rj CG eS dGh jj22SGc 13h.KdG dWCG H ihdH bCG

:cCG .... = SGdG e W c f....

.... = bCG e W c f....

(4)eS H ihdH J OGj Ic 12 j dGQOf Gch ,NCG dH eS Gc ud ;QOfh

:cCG K ,UCG dH

22 ......... = 122

25VjdGSdGRhQ He

:cCG ,HG dH fSH (8)

.... = ihdH jddG e c f....

(9):JCj c Y J b cG

( CG )62222() 455

(7)0 H gMCG iG e c e IdGh TG2YRhh .b 12 Y ij NBGh b

.M NCGh e H ihdH:cCG

....) = W c f ....) + (....(....c iG YRh K , ke dH e e IdGh Vh GPEG

.... j W c f Ea ,W H ihdH.... ....) CG iCG ....) + (.... .... = (....+....


:cCGh ihdH Rh (1)

.IRe Y j Ob c 6...... = 3

)2 (

.JH H VJ S c 822...... =

(3)

.jdG b e Y j W c22 1...... = 4

27VjdGSdGRhQ He

(4)

.GQL Y j fQCG c .......... = ....

:Me 8 dG Y Hc = 422IQdG Y: e 10IQdG Y 5 = 2

dGY dG

2284

:JBG dG Y LCG (5)

622...... =

422...... = 8

35...... = 7

....105

....2214

....153

....8227

....2246

....02222

....3010....546....497

(6)0 e jJ ja c22Wke OdG f e ja c j H , ..YdG eH W d eQGh , M 3 SQG.

hCG dGfdG dGddG dG

2284


:OdGh dG (7)

:cCG ?G GH ij CG j GPa . kTb 150 W c e CG Y GPEG

kTb 15

522 kTb

.Ue ij CG Y

.bCG iJ CG jf

kTb 75.JL iJ CG Ag

kTb 50

.jH b ij CG Y

Tb 30.Fa iJ CG g

29VjdGSdGRhQ He

:(khCG)

6223 =

622

322

IQe MJ 3 HG dG QYG 6 LEG OdG j dHh ,Je.MJ

:JBG dG Y Y j dG Ea dG g a

.MJ 3 b H ,b EG e MJ 6 dG QYG c

:JBc ke dG Hc h

:JBG dG Y Y j dG Ea dG g a

3226 =

:cCGh HG dG M (1)

................ = 3 ........ = 3........

...3

...3


:cCG (2)

7..........

..........8

4

4

3122

22.....

.....35 ......

:(kfK)

18 b QN Lf d fCG f S GPEG idG OdG Y f fEa 3 V18 j 3

:HG dG SG Y j dHh

6 CG f fCG h18 = 3 18 j da6 = 3

?3

183

(1)1 dG j 7 a V GPEG idG OdG LhCG22dG Y SG K ,.IXG

:cCG ........1 = 7221 dHh22 ........ = 7

31VjdGSdGRhQ He

)2:H c cCG (:``e

654 = 9 954 = 6

546 = 9 549 = 6

72... = 8

8... = ... 6... = 8

...8 = ... ...... = 8

:cCG (3)

186 = ...... ......9 = 9

357 = ...... ......9 = 8

......8 = 10 16 = ......22

36...... = 4 ......8 = 6

.....9 = 3 45.... = 9

1422...... = .....7 = 7

7....6

4422....

....1223

....405

7....8

4....8

.HdG FdG U e d G SM SG

7... = 5 5... = 7

...... = 7 ...... = 5

...... = ... ...... = ...

...... = ...


(4).faCG 9 VQCG Me fc GPEa .Ma 3 Y ihdH VQCG b b?a c f a

.faCG ....... = .............. = a c f

(5)

(6)

JSCG Y ihdH YRhh ,ISCG e c e G kOY Q iTG.c 3 Oa c f a .OGaCG 4 e fG

:cCG.kHc ....... = ......... = Q gGTG dG dG OY

ja c c GPEa .HG iMEG a IFdG IdG a kY 54 TG6 e j?cQG dG OY a .Y

.a ....... = ................ = dG OY

.G SM SH HdG FdG U e

33VjdGSdGRhQ He

(1):JBc G dCG Y fJ VjdG HdG M a`````````dG Ic:.G kJ 14`````````dG Ic:.eJ 10I```FdG IdG:22.G kJ 1``bdG j:.eJ 9

Y c e SQG W,e U a J CG

:cCG ,Y d dG OY OjE ;GQhe GJ U H`````````dG Ic: _ 1422.... = dG OY dHh .... jh .... =

:`````````dG Ic _ 1022.... = dG OY dHh .... jh .... =I```FdG IdG:22 _ 122.... = dG OY dHh .... jh .... =

j``bdG: _ 922.... = dG OY dHh .... jh .... =CG J d eCG hCG dG YG e Y H fCG S Mj

j h , vU fd QGH j d keR jsj dG g a ,O MCGj (MCG j CG hO GhRCG EG J eCG jdG) ed dG OdG

G kOY GgvLhR.eR d Lh J c CG a ,INCG Yd dH eCGkQGH j

G kOY dG g a OdG fh ,O J H dhjOav.


.GhRCG jJ dhM ,JBG TCG e c a:ziOa{ hCG zLhR{ c HH cCGh T c M

)2(

(3)

... OY... OY... OY

,AT j CG hO GhRCG EG J LhdG OdG CG S Y VCG GPEG dHh22 vLhR S LhR OY iC(?GP)iC 1 VCG GPEG eCG

vjOa S fEa LhR OY(?GP)OY iCG CG dP e f CG hCG 0 eEG OMBG bQ j LhR22.8 hCG 6 hCG 4 hCG

OMBG bQ a iOdG OdG eCG.9 hCG 7 hCG 5 hCG 3 hCG 1 eEG

ka22,(?GP) - vLhR G kOY j 187(?GP) - vjOa G kOY j 7845

:j a LhdG OGYCG vN V (4)

, 406922003 , 74 , 173522 ,22300

(5)( CG ). ......... , ......... 100 Y LhR jOY cG(). ......... , ......... 100 Y jOa jOY cG

35VjdGSdGRhQ He

(1)aQ HQCG Y kHc 484 jRJ OGj ,G iMEG a?Q c a VJ dG dG OY e ,ihdH

Y f g S Q H dG OY CG f 484 dG:dG Gg OjE ,4 484 CG f 400 =++ 80++4

e 4 =++8 GY++.OMBG 4 e 4100 = IMGh Fe = 4

GY 80 = JY = 422 OMBG 41 = MGh = 4

100 = Q H dG OY j dHh++022++1 = 1221 484 CG iCG1 = 4221

kHc

:H c cCG (2)

:2``e 396 3 300100 = 3 9030 = 3 6 = 322

396 = 32213

842222002222..... =

8022..... = 422..... =

842222..... =

848 4 800..... = .... .......... = .... .......... = .... 8484..... =


:JBG dG Y e d ITe dG LhCG (3)

963........... = 3, 46022........... = 804........... = 4,22 64822........... = 9300........... = 3, 7070 = 7...........

(4)6 j CG LJ OGQCG22a iM b 6f Y c c ij H c

.dG OY?c c a dG OY a

:cCG622 _ 622........... =

........... g c H dG OY

:JBG dG Y LCG (5)

422 622........... =, 666........... = 6 636........... = 3, 505........... = 5 999........... = 9, 80022........... =

22 46822........... =, 5500........... = 5 8044........... = 4

37VjdGSdGRhQ He

(6)6 e eh eS dGh Rh2222?e c f e .ihdH Y kL............................................................................

(7)450 dG edG OY c GPEa .OdG jhe a 9 H FGHG SQe?MGdG dG eJ OY a .G kJ

.................................................. = MGdG dG eJ OY

(8)GPEa ,dG Je MCG a WCG T V WCG e he OY J j8 J 22?jCG 5 a J jdG WCG OY c ,jCG 8 a kW 3

MGdG dG a J j jdG WCG OYkW ........... = ........... =kW ........... = ............... = jCG 5 a J j jdG WCG OY

(9)Rj H , GY a dG e eGL c 108 j CG LJ jj S GY Y dG f22S GY a Zj NBG dGh ,GLc

?bCG Y f c e LdG Gg Lj IY c .eGL c 6....................................................................................................................................................................................................................................


:cCG (1)

100359 ....... = 7822....... = 5 10 6488 ....... = 970 3690 ....... = 8....... = 9 65 65 ....... = 70....... = 6 65 ....... = ....... + ....... = 76

.......406226

:dG H cCG (2)22. ....... , ....... , ....... , ....... , 8 , 4 ,

1522. ....... , ....... , ....... , ....... , 860 , 430 ,16 , 129622 . ....... , ....... , 36 ,

SG edG iMEH cCG (3)> hCG= hCG

39VjdGSdGRhQ He

(1)ddG FG a IOQGdG HLEG fc GPEG e H:dG H e U Z CG U

( CG ) 5983986 = 7)............ :C ;(() 17796596 =)............ :C ;((`L)594226378 = 4)............ :C ;(( O )8522565 = 922)............ :C ;(

(2)GPEa ,SQGe 8 Y ihdH G iMEG a SOdG GH jdG WCG Rh?SQe c f a ,4880 g WCG ADg OY c

......................................................... = SQe c f

41VjdGSdGRhQ He

dG Gg j idG LQG G W g T iCG CG aY CG S:Ea dHh

YVCG GWCG ihj e iCG

(1)Ge) JBG TCG e T c MG(d IMc dG HG V W

.IMh ..... = G.IMh ..... = G.IMh ..... = G

)2:HG dH fSH cCG (:g G VCG GWCG

e .......... , .......... , ..........:G a PEG ;GdG

.......... + .......... + .......... =.G kS .......... =


(3). MG ,GdG e 8 ,5 ,4 YVCG GWCG e................................................................... = G

(4)00 dG e VQCG b22V W CG Y GPEG - e.ddG V W LhCa ,G ke 140 e

...........................................................................

:HGh G

U S HGh O `L CG G dG dG (1)

O`L

CG

SU

:cCG ,GWCd IMc dG HG V W PJH

CG`L , IMh ........ =.IMh ........ =O `LCG O , IMh ........ =.IMh ........ =U S U , IMh ........ =.IMh ........ =

S , IMh ........ =.IMh ........ =

43VjdGSdGRhQ He

O`L

CG

)2 (fSH ,O `L CG G HG dG:cCG dH

.S ...... = O CG ,GS ...... = CG.jNBG dG W SG

.S ...... = `L ,GS ...... = O `L.G kS ...... = .................. = G

O

`L

CG

(3)fSH ,O `L CG HG HG dG:cCG dH

bH GWCG SG GS ...... = CG.HG MGh VCG

.G kS ...... = .................. = HG

(4) . MG ,GS 3 V W He

.................................................................... = G


(5) . MG ,GS 3 VYh ,GS 8 dW e

.................................................................... = G

(6)dPh ,JBG TCG e T d G MG:T c Y G VCG GWCH fSH

S ... = GS ... = GS ... = G

S 42S

2S2S S 3

S 3

S 1S 12S

S 3S 4S 4

.S 4 = O `L ,S 5 = `g CG ,S 3 = CG ,He `g O `L .`g O `L HG MG ( CG )

..................................`g CG G MG ()

..................................`g O `L CG dG dG MG (`L)

.................................

:HG dG a (7)S 3

S 4

S 5

O

`g

`L

CG

45VjdGSdGRhQ He

(1)dG IdG HG OY LhCG ,cCG G kM j JBG dG e iCG a.T c e j

:cCG... = (1) bQ dH IdG HG OY... = (2) bQ dH IdG HG OY

.cCG G kM j idG g (...) da dHh:CG iCG (...) dG Me e cCG (...) dG Me EG f dG g a

IMdG J a ,eG IMdG Y bJ dG Me Ea dHh.dG Me J

(1))22(

dG Gd fG GMdG OH QJ dG Me

)2 ( G k````e ,JBG ```TCG e c M``e ``MG:Md IMc

... = MG... = MG... = MG


(3) G k```e ,JBG ``TCG e c M`e ```MG:Md IMc

... = MG... = MG... = MG

:G IMdG H HG dG Me cG (4)... = MG

... = MG

... = MG

(5)M ke G kc ke HG dG:e EG dG

( CG )HG V W YG,GWCd IMc dGdG HG Meh,Md IMc

:JBG hG cCGh():GP a K H hCG H LCG

= dG G ( /f) G

= dG G Me( /f) G Me

MCG GGMG..................

UCG GdG G

47VjdGSdGRhQ He

(6)( CG ) ?MG f HG KdG TCd g( /f)................................. ?GP

() G f d c GPEG e HG( /f)................................. ?GP

(`L).G f d d dh MG f d T SQG

( O ).MG f d d dh G f d T SQG


(1)e d MGh G LhCG,HG dH G G

:JBG hG cCGh

(2):G IMdG H HG d MGh G LhCGW g IMdG QYH) IMh ...... = G

.(dG HG V... = ... = ... = MG

(3)be TCG S EG ke kHe HG dG.7 EG 1 e

:Md IMc (1) dG Me PJH( CG ):JBG hG cCGh TCG bH Me LhCG

():dG TCG H e... , ... :He T bQ cG -

... ,... :jNBG He T bQ cG -... ,... :He d dh MG a jhe T bQ cG -

... ,... :He dh MG a jhe jNBG T bQ cG -

MCG GG

MG.........

...

... ...

UCG G NCG G

17

2254

6

311

22...

3...

4...

5...

6...

7...

dG HG...

dGMe

49VjdGSdGRhQ He

(1)H aG CG Y GPEG HG dG a.MGh S dW de f c

dG Gg LhCG...........................................

(2).HG IMdG H HG dG Me LhCG.... = dG Me.... =

.... =

(3)( CG )... S 3 V W He LhCGS ....... = ...................... = HG

(). S10 ,S7 ,S5 YVCG GWCG ,e LhCGS ....... = ..................... = G

(4) kT SQG ,HG HdG dG a.dW GMh 8

(GWCd IMc dG HG V W YG)

(5)Me kT SQG ,HG HdG dG a.He GMh 8

(Md IMc dG HG Me YG)

51VjdGSdGRhQ He

:dG H ud (1)

1``````22``````3

3``````5

:G AG Y j idG dG cG (2)

.....................

.....................

:OGYCG N Y HdG NGO SdG ceCG a JBG QdG cG (3)

,,, 5``````1022``````10

7``````109``````10

1U


= ```````````K```````````````f == SCG HQCG``````````````````K== KCG S ```SCG N== JCG HQCGSGSCG N=

...``````......``````......``````......``````...

...``````......``````......``````......``````...

(4)K ck?dG MGdG a ..................................

?dG MGdG a kHQ c..................................

?dG MGdG a kN c..................................

:cCG (5)

= = = = = = 17``````......``````6

...``````...3``````...

...``````4...``````5

:JBG QdG cG (6)

:JBG QdG e c c Y j kT SQG (7)

34

34,,,56

5678

7849

49

53VjdGSdGRhQ He

:CG Mf dG e = = = = 1``````23``````64``````85``````10

2``````4

1``````21``````2

1``````41``````6

1``````81``````10

1``````101``````10

1``````101``````10

1``````101``````10

1``````101``````10

1``````10

1``````81``````8

1``````81``````8

1``````81``````8

1``````8

1``````61``````6

1``````61``````6

1``````6

1``````41``````4

1``````4

:cCGh SG (1)

= = = = = = = 1``````23``````6

5``````10...`````2`21

...``````148``````...

10``````......``````...

:dH ke cCG (2)

==

=

2````3

...```6`

...````......````...

1````...

3````...

6````...

3````4

=

1


=

33... =, 63... =:cCG

:dHh3``````61``````22

(1)dG G AG QYG HG dG e.dG dG QYG c dG1``````2

3``````6

:CG f HG dG e (2)

:cCG (3)

= 4`````2`211``````3

4...1 =,22 1...3 =

, =3

3=

4

4

3``````61``````3

4`````2`11``````2

=5

5=

...

...=

...

...

5``````10...``````...

6``````83``````...

1``````...7`````1`2

55VjdGSdGRhQ He

:cCG (4)

== ,= ,= , 9`````7`21``````...

15`````5`2...``````5

21``````182``````...

7``````701``````...

:JBG QdG e vc uH (5)

== ,= ,= , 4`````2`1...``````...

3``````30...``````...

6`````1`2...``````...

35``````45...``````...

:jhG QdG pU (6)

3``````41``````2

14`````1`24``````14

7``````1415`````0`2

2``````72``````3


(1)cCG ,jhe AGLCG fK EG e Ia iTG.bdG KdG AGLCG jU YCGh AGLCG 5 e

:cCG.IdG cCG

.IdG jU NCGh...................................... ?jU f CG f :cCG jCG

:cCG ,= ,

57VjdGSdGRhQ He

:cCGh JBG TCG e vc M (1)

2``````83``````8

...``````... = +1``````6

2``````6...``````... = +

...``````......``````... = +

...``````...

:dH c LG (2)3``````5

1``````54``````54``````5

1``````5

= +2``````7

3``````7...``````... = +

1``````43``````4

...``````... =... = + ,

:H c cCG (3)

:``edHh, 2``````95``````9

7``````9 = +7``````9

2``````95``````9 = -

7``````95``````9

2``````9 = -

dHh, 3``````71``````7

...``````... = +...``````...

3``````71``````7 = -

...``````......``````...

...``````... = -

dHh, 2``````53``````5

...``````... =1 = +12``````5

...``````... = -1...``````...

...``````... = -


:WG (4)

, 5``````83``````8

...``````... = -,4``````9

2``````9...``````... = -

3``````111``````11

...``````... = -

:cCG (5)

, 1``````74``````7

...``````... = +,5`````2`1

...``````...9`````2`1 = +1

...``````...3``````10=

, 11``````2...``````... = -,

3``````5...``````...

2``````5 = -4``````7=

+

...``````...1``````7 -

, ...... 3``````41``````4 = -, ...

1``````32``````3 = +=

1``````61``````6 -

59VjdGSdGRhQ He

:JBG G hL cCG (1)

1``````72``````7

3``````7

.........

...... ...

... ...

1

1``````7

3``````74``````7

(2)( CG )dEG VCG GPEG idG dG edG c?

......................................()dEG VCG GPEG idG dG e?kU G kMGh dG c

......................................(`L)e W GPEG idG dG edG c?

......................................( O )e W GPEG idG dG edG c?

......................................

2`````5

3`````4

4`````93`````9

4`````93`````9

3`````5

+


:QdH uY (3)( CG )?c d dH b c GPe - jhe b 8 H L Y

............................................................. = dG()?e c f GPe - AbUCG HQCG H ihdH Ia b

.............................................................. = dG(`L)bh dH e b YQR - jhe b 5 EG VQCG b b

:UCG VQCd dH JCj c GPe - RQCH bh dH. ............... :dH YhQG VQCG. ............... :dH YhQG VQCG. ............... :RQCH YhQG VQCG

( O )OY Y j idG dG e - MQ a e 8 gP ,G kJ 36 H a?dG eJ Od dH MdG a GgP jdG edG

:dG ke ,dG HLEG v` `N V 3``````8

22``````91``````18

1``````4

:cCd UCG e S c j H SCG SQ cCG (4)

U3``````10

9``````10

1``````2

12``````10

61VjdGSdGRhQ He

:T c SCG G dG dG AGLCG d (1)

5``````82``````3

2``````5

)2 (e c a G AG idG dG uM:JBG TCG

1``````33``````4

2``````42``````3 ,,,

3``````63``````4

1``````42``````3 ,,,

1``````31``````2

1``````4 1``````6 ,,,

:cCG (3)1``````52``````5

...``````... = +8``````9

5``````9... = -15``````8... = -

2``````76``````... =

6``````108``````16

3``````... =...``````2 =

, ,

, ,:JBG QdG e c jhj e uM

( CG ))(

())(

(`L))(

+,,-1 3``````51``````5

3``````516`````0`22

22``````5,

+

,

,, 6``````7

6``````93``````7

9``````113``````7

9``````159``````14

221``````15

2``````3


SG edG kee cCG (4)> hCG= hCG

SdGRhQ He


:jG IQGG LQO (1)zIQGG Ge{ (eedG)

:Jee NG?zIQGG Ge{ j AT iCG a

?zIQGG Ge{ eedG j c?iOdG fEG IQGM LQO e

?IQGG LQO H QJ dG GMdG e.fEG Ve ge H cPG

.......... SH fEG IQGM LQO SJ........... J GMH IOY IQGG LQO QJh

:cCG

)2:G dM (jG IdH dG a Ge IY iNCG YEG FShh jdG dja UGY a idG IQGG LQOh dG IQGG LQO Va

.dGh HdG UGdG Hh ebJ IQGG LQO fL EG jG IdG J c

cMh bG jG gGd kUhh QeCG.(dG a GeCG cM) QGh Gh jdGzG dM{ : AL e EG j a fhMCG a IgdG a QJ ej U a

:jO T jCGJh kd OQH G kQf Ad Fe W{

Jh ,IgdGh idG LdG a Y kMU FG IQdG a jDhdGY dG j c ,OdG Th T Y SGh G dG

65VjdGSdGRhQ He

.zde EG N bT dT EG dT ZCG jdGh ,AS Sh e:dGh HdG hdG UGY H ah jG G H a IQGG LQH H j ah

jG

IgdGjQSEG

heGSCGSCG

SQHdG TYSEG

jdGjdG

HWQdG

bOdGaQ

jJc fSISG

dGQS SCGQ

gSbCG

jG iOGdGJTh jM

Wb

jf

11221221

118

16141111109

13149788221

1310101116101013

IQGG LQOidG

IQGG LQOdG

2222122

19622322122622

2222322

2222223322822

222217

122322

22222222

322522522522122422522

jGIQGG LQOdG

IQGG LQOidG

eAUXHCGMhdGjdGeOhHY

WGOGH

FGGQjf

KCGehQ

jQHjQedHd

Se

30422322022

1616

02215

92218

0221116157

106221

4

1611161461221

4167957161443


:HdG hH fSH cCG

( CG ) ```Y IQG```M ``LQO ``YCG `fc ``e ``a Q```WEG a........... bCGh............

. ........... bCGh ........... iU IQGM LQO YCG fch()gdG J dG ceCG a ,jO T a e a MH dG OQCG GPEG

?(IQGG LQd kah) dEG. ........... , ........... , ........... , ........... , ...........

(`L):hG a IQcG HdG UGdG QWEG a. ........... bCGh ........... Y IQGM LQO YCG. ........... bCGh ........... iU IQGM LQO YCG

( O ):dG UGdG QWEG a. ........... bCGh ........... `Y IQGM LQO YCG. ........... bCGh ........... iU IQGM LQO YCG

(`g)dG YJ dG SCG gCG e J jG QKBG CG f fSGQO AV a) NBG kS VCG .e IQjR EG fLCG

.JQjR EG gYj (dG............................................................................

............................................................................ ............................................................................

( h )EG IQGG LQO M e bCG J HY UY cPG ?IgdG...........

. ...................................... ?J dG zdG{ IQGG LQO e?jG IdG IFa e

............................................................................ ............................................................................ ............................................................................

( R )a e jN Y dG Gg a jdG cM J kSCG SQG.HdG dG

67VjdGSdGRhQ He

a (dGh G) SGQO HdG dG GMh GSG G e d.GMdG g d Gkf dPh ;G H aG M e SdG M H

.edG g cCG iNCG IMh Y SdG JG a g eh e 1000 = edGf QNdh 1000 = c 1

(1)Y H GedH aG dG hG j.HdG e jQL a bGGh G e

```H ```bGG /`````G

(jJc fS jW) HW - IgdG.iM MCG dG f - IgdG

.jJc fS - iM MCG dG f

aGGedH

3226131319

IgdGdG

jJc fS

HW

aG LhCG ,hG GH fSH:GedH JBG

( CG )iM MCG dG f H aG. ..............................HWh

()j`Jc fSh Ig``dG ``H aG. ...................................

(`L).HWh jJc fS H aG. .............................

( O )Y M dG aG JQ. .............................vdRJ

)2 (:JBG SCG Y LCG( CG ). ...... ?HWh jJc fS J e e e iCG a

().UN LH HW Yh ,AS jQJ Y aJ e cPG (jdG bd)


(3):QeCG EG GedG e uM( CG ).Gec 5 ....... = c 5

().G kec 15 ....... = c15(`L)22.G kec 122 ....... = c1

:GdG EG QeCG e uM (4)( CG )522.G ke().G ke 43(`L).G ke 570

522S ....... = S ....... = 43S ....... = 570

(5)dG GMh H e Sd Se J GMdG iCG cPG:ddG SdG e d e dG - G - dG :ddG

.G SM SH HLEG U e J CG

( CG ). ............ Yh IgdG H aG

(). ............ MS M W

(`L)............ jQSEGh IgdG H aG

( O ). ............ UUdG dG W

(6)?... JBG GWCd jJ e:Se gGJ dG HLEG v` ``N V

:G (c 1 , 100 , c 100):je je H aG00 , c 3000 , c 10000)22(c

:SQe SGc W5)22(c 1 , 1 , S:W W , S 140)22(c 1 ,

69VjdGSdGRhQ He

,dG ,iG ) FdG G e dG acCG IMH kdZ RdG j (gZh ...G ,QGG ,cdG

.GLdG gh ,GG eGL 1000 = GLdG

CGh ,eGH e SdH VG GG CG EG IQTEG Qh.MGh GLc g (iNCG U iCG Vh hO) j e bCG

e J gkKCG kT J ```c G```G G``g `J CG?c ?eGLc 3 e

(1)cdGh GhGG j EG SS gP:JCj e TGh

QSCG Fbd dG

L 322L

L 4L 3

22LL 3L 3L 4

22LL 9

L 3

dGWW

ehQ aH

ScQNH

WHRe

JHJ

aGL

.WW c 1.WH c 1.QN c 122.JH c

22.H c?aO e L a

...........................................

...........................................

...........................................

)2:eGL EG JCj e uM (( CG ).c 5()322.c(`L).c 18

.............................

.G SM SH HdG dG U e


(3)H e Sd Se J GMdG iCG cPG:ddG SdG e d (GL ,c) RdG GMh

?...ddG GRhCd jJ e (4):Se gGJ dG HLEG vN V

.......... ..... gdG e N

....... AGhO Y

..... G ZQ Rh(c , L 150)..... a Rh(c 300 , L 10000)

..... Gg Rh0)22(c 10 , L..... Rh0)22 , L22(c

0 Rh22..... fjR(c 7 , L 400)

.......... GR

1``````2

.SG Td JMe bf

:cCG (5)

L ... = c 3,.L ... ,c ... = L 4500c ... = L 4000,.L 30 , c 3 = L ...

(6) J dG e fBG K a ,L KK dG e GG K c GPEG22?c.............................................................................

71VjdGSdGRhQ He

:cCG HG dH G dH fSH

( CG ). ....................................................... :g dG TCG()```````dG.G kT ............. =(`L). ...................................................... :g SCG jCG( O )``SCG.``jCG ............. =

:g Qd IXG JdG OGYCG (`g )) jGa ,(1) jj22................................................... ,(

:g kej 30 H dG QdG ( h ). .......................................... :g kej 31 H dG QdG ( R ). ..........................................

H dG Gg e jGa T ( )..............kej dG Gg jCG OY ( )= 30)......... 31) + ( + ( ..................

.kej ......... = ......... + ......... + ......... =?dG Gg e 7/7 aGG dG e ( i ).......................................

?dG Gg e jO T e hCG d aGG jQdG e ( ). ......................................................................

iOG dG


bdGh YdGh dG

4 = dG22YSbO 60 = YdG ,

(1)

(3)

(5)

)2(

(4)

(6)

..... ?ej a YS c... ?YS 10 a bO c

..... ?YS f a bO c... ?jCG IY a YS c

..... ?fh YS a bO c... ?dG a bO c

:cCG (7)

:jhG eRCG pU (8)

( CG )````````Y`````S 30.YS ........ h MGh j =()``````````bO 100.bO ........ h IMGh YS =(`L)````````Y`````S 50.YS ........ h j ........ =( O )``````````bO 650.bO ........ h YS ........ =

YS 6h jbO 30

j f

22YS 1 bO 66

YS fYS 30

FbO 6h YS

:(WCG Id bCG IG e) vjYJ JBG eRCG JQ (9)( CG ).YS 10h MGh j ,YS 40 ,ej....... , ....... , .......

().YS 1000 ,j 100 ,QT 3....... , ....... , .......

73VjdGSdGRhQ He

(1)

)2(

(3)

(4)

(5)

( CG )? jG bdGh GMCG SGQH G G SG e .........................................(?SQG e JQjH b g).

()LQO a J dG jCG a FGJQH AeR J dG HG f e?...j c IQGG

dGidG3730........................................1510........................................222217........................................

( CG ) GPa - GS 4 c Ie EG Oe H j T CG Y GPEG?Oe jQJ j CG

........................................................................()?dG e eGLc 10 CG jG e eGLc 10 :KCG jCG

........................................................................

009 HcCG 15 KEG j jGH CGJ dG edG IdG W e22jH Jh7 dG j22009 HcCG22?

.............................................................................

G kT c - dG f e ZCG NBG a fCGh SQe hCG a Y T CGH?dG GH dG a bSG

.............................................................................

ae Me `j220 a ec22H) fH j c GPEa - bOj dG aG eh ?Gec S ae d ej edG e a ,(YdG

?YdG fh YS a..........................................................................................................................................................


:cCG (1)

: vjYJ JQ (3)

Q`````````````eCG 4S ....... =,``````H````SCG 3.kej ....... =eGLc 3G````L ....... =,```j`Th S.G kT ....... =

)2(( CG ). ........................... IQGG LQO H SJ IMh cPG(). ......................... ?(kjJ) iOdG fEG IQGM LQO J c

( CG )4002250 ,GL22 ,GLc 1 ,keGL22.GLc........................................................................

()00 ,j 500 ,S ,GT 1522.kej 16 ,YS ........................................................................

(`L)000 ,e 500 ,S 4000 ,Gec 322.e........................................................................

(4)( CG )?jH H aG Sd SG IMdG e.........................()?SQG G eR SG IMdG e .........................(`L)?gdG G Rh Sd SG IMdG e.........................

SdGRhQ He


(1)CG jdG Ib g S a Lhe bdGh dG OY cM HMCG dG EG SG HCG dG

:dc fc :MCG ,30 :dG22:KEG ,3

:AKdG ,45,37 :AHQCG ,55 :Gh ,38 :G22S .5

:JBG hG a fdG gdGMCGKEGAKdGAHQCGGG dG

bdGh dG OY:JBG SCG Y LCG hG e

( CG )MCG dG EG HCG dG e bdGh dG e OY cCG n j iCG a. ..................... ?SCG Gg N. ..................... ?dG g OY e

()MCG dG EG HCG dG e bdGh dG e OY bCG j iCG a. ..................... ?SCG Gg N. ..................... ?dG g OY e

(`L)HCG dG e c dG bdGh dG e OY bCGh OY cCG H dG e.bfh S ....... = ....... - ....... ?SCG Gg N MCG dG EG

( O ) jdG Ib Y J dG G cPG....... ,....... ,. .......( `g ).jG g Y jQJ b cPG (jdG bd)

77VjdGSdGRhQ He

)2 (V J jdG WCG OY dG dG j.e a iMEH HSCG MCG a WCG T

:JBG SCG Y LCG ,SdG e

WCG OY

400350300

502002

15010050

0

500450

dG MCG KEG AKdG AHQCG GSCG jCG

( CG )?WCG e OY cCG J jCG iCG a. ................................................ ?WCG ADg OY e

()?WCG e OY bCG J jCG iCG a. ................................................ ?WCG ADg OY e

(`L):dG hG fH SGdGMCGKEGAKdGAHQCGGG dG

WCG OY


(3)eJ e dG H G OY c:j c SQe a FGHG ddG dG

155220221510

dG

OdGedG OY

dG f

30

52

02

15

10

5

0

:SdG cCG

dCH dG OY

dG

dCH dG OY022522

40505570

dG19501960197019801990

00022

(4)e jQL ib iMEG S OY dG hG jSG .G GYCG a (kjJ) dCH HdG

:(HdG dCG a c IYCH) fdG SdG

79VjdGSdGRhQ He

:JBG SCG Y LCG HdG fdG e

( CG )000 Y EG 1950 Y e jdG S OY a IOjdG fc c22?()?dG a Ic IOjR a KM dG GdG e(`L).dG IOjR Y LdG G H cPG( O )?G g JMe e (jdG bd)

:G H fdG dG

.G G jH HdG dCH IOQGdG fdG j HG dG,IYCGh G G Gg H Qb

.G Gg Y dG dG j c SGh

dCH dG OY

dG


:zG{ hCG zG{ hCG zcDG{ c HH cCG (1)( CG ).kgP AdG CG ..................... e

().kMU dG J CG ..................... e(`L).VjdG a Je LQO Y MCG CG ..................... e( O )LQ CG ..................... ek.QeCG KK dW

)2?bf GPe (

NGH IOLG GdG G kL bh Y ZCG fCG Jc.AYh c e IMGh Ic S K ,AYh

?dM c a HG IdG d j CG bJ GPe( CG ):hCG AYdG e HG IdG

:cCGcDG e........ fd j CGG e..... fd j CG

():fdG AYdG e HG IdG:cCGG e........ fd j CG

G e..... fd j CG kjCGG e..... fd j CG

(`L):ddG AYdG e HG IdG:cCGcDG e........ fd j CG

G e..... fd j CG

81VjdGSdGRhQ He

:````bJh ````N

(1)

)2(

,AYh H GdG G kL bh ,Y ZCG kT CG (S c) Va GPEG:idG AYdG bQ j a - AYh c e IMGh Ic S K

( CG )?AGM e HG IdG J CG cCG LQH bJ(... bQ AYdG)()?AGU e HG IdG J CG cCG LQH bJ(... bQ AYdG)(`L)?AbQR e HG IdG J CG cCG LQH bJ(... bQ AYdG)( O )?AbQR e HG IdG J CG bCG LQH bJ(... bQ AYdG)(`g)?AGM e HG IdG J CG bCG LQH bJ(... bQ AYdG)

(1))2((3)

zIc{ c HH dPh ,JCj d bJ LQO OM ,HdG HdG ahCG:zee{ hCG zV{ hCG zSe{

( CG )......... :AbQR hCG AYdG e HG IdG J CG feEG()....... :AGU fdG AYdG e HG IdG J CG feEG(`L)....... :AGM ddG AYdG e HG IdG J CG feEG( O )........ :AbQR ddG AYdG e HG IdG J CG feEG


:````MG ```M

,HG dH G AYdH YVG GdG G kL bh ,Y T ZCG GPEGHG IdG Ea ,IMGh Ic e S K

.AGU eEGh AbQR eEG S:OYG a cCG MG e

?AGU CG AbQR HG IdG J CG. ........................?AGM HG IdG J CG MG Lj g. ........................

:Xe.G kU = KhM MG EG f fEa ,ke G j eYG c GPEG eCG ,1 = KhM MG EG f fEa ,G kcDe j eYh

.(1 ,0 H) G kc j KhM MG Ea k:j HdG G a e

= AbQR HG IdG J CG MG.(5 = c GdG OYh ,1 = AbQdG GdG OY C dPh)

= AGU HG IdG J CG MG.(5 = c GdG OYh ,4 = AGdG GdG OY C dPh)

(1)

)2(

:cCG HdG f jLCG GPEG ;HG dG a (3)..... = AGM HG IdG J CG MG..... = AGU HG IdG J CG MG..... = A``bQR HG IdG J CG MG

4``````5

1``````5

83VjdGSdGRhQ He

:cCG HdG f jLCG GPEG ;HG dG a (4)

..... = A``bQR HG IdG J CG MG..... = AGM HG IdG J CG MG

(5)

(6)

fEa ,gdG LdG Meh ,fe Y AdEG Y:cCG - Hc hCG IQU eEG S

= IQU Y G MG= Hc Y G MG(?GP a)

...``````...

...``````...

3 e G kJ 40 H a2217h G kdh.edG MCG J jCG MCG a .kH?G kdh G j CG MG e

(?GP) ...``````...


(1)Y ddG HLEG H e dG HLEG NGY aVEG e J e ,fdG L dSCG

:f Lh H YJ bCG

)2 (hCG g dG GFdG OY dG hG Vjde GYCG N N kjJ e QOZ

:(dCH)

( CG ). ............... JdG e Y GWCG OjEG(jNBG GDS - SdG - dGh dG)

(). ............... ke kGL NJ dG GQdG OY(jNBG GDS - SdG - dGh dG)

(`L). ............... G dG YH dG a edG ZQ(jNBG GDS - SdG - dGh dG)

( CG )eu.G Hh IYCG jH fdG g ()J dG aG ASCGh ,HdG e jQH GQe S ASCG cPG

.H(SQe e Gg bf)(`L)AGS ,aG g e c a JQjH J dG ceCG H cPG

.Fd hCG id(SQe e Gg bf)

hCG622

fdG30

ddG35

HGdG35

eG40

dGdCH GFdG OY

85VjdGSdGRhQ He

:JBc bH a FbUC ASCG 7 c (3)

a ,(if CG hO) e IMGh S K ,YVhCG fZh bdG g b GPEG:HG bdG Y G SG j CG MG

( CG )?zS{ `````H CGj. ............()?z CG { ```````H CGj. ............( `L)?zh{ ```````H CGj. ............( O )?hM 4 e j. ............(``g)?hM 5 e j. ............

:cCG( CG ). ...... g HG bdH G SG hM OY CG cDG e

().z......{ H HG bdH G SG CGj CG G e

MCG Se dNCG SCG


(1)g dG G M dG j e HSCG MCG a G IQGG LQO fc33 :JdG Y31 ,30 ,38 ,34 ,9 ,227 ,22.

:JBG SCG Y LCG K ,hL a fdG g S( CG )..... j fc IQGM LQO bCG

()..... = ..... - ..... = IQGM LQO bCGh ,IQGM LQO YCG H dG(`L)..... j c IQGM jCG cCG( O )30 e bCG IQGG LQO a fc dG jCG..... , ..... ,..... g

)2:G MC OGaCG S H J e j dG hG (

eu:fdG g ( CG ).G H

().IYCH

f50

Y70

e65

eS55

"e75

Sj80

OdG SGH dG b

(3)Y d SdG H HLEG iMEG NG:IQcG GMCG bh MG

( CG )........... dG e dG J.(e - - cDe)()........... SQG EG dG gj.(e - - cDe)(`L) vYSCG Ge 4 jdG gTCG............(e - - cDe)( O )........... SQG e MQ a gPCG.(e - - cDe)

(4)?FdEG Y dhdG IgR Lh Y dG e iOa OY QX MG e

87VjdGSdGRhQ He

... =)+ ( CG )()

(`L)

, 1``````52``````5

2``````5- 1 ,(16`````0`22

3``````5

... =)+, 3``````75``````7

2``````7- 1 ,(9``````14

21``````15

... =),, 7``````101``````3

9``````11(5``````15

MCG2222

KEG322

AKdG122

AHQCG18

G19

G022

dG122

dGIQGG LQO

:JBG SCG Y LCG( CG )........... ?YCG IQGG LQO fc j iCG a

()........... ?bCG IQGG LQO fc j iCG a(`L)........... ,........... ?jhe IQGG LQO fc ej iCG a( O )........... ?jCG g a H J dG HG f e

e c d 3 OY iTG22? kL K a . kL 1 ...... = dG K. kL ...... = ......

:dG LhCG (1)

:JBc HSCG MCG a G IQGG LQO fc (4)

)2:dG HLEG vN V (

:cCG (3)

(5)

.YS ..... = dG22.L ..... = c.S ..... = ..... = c 3

549...... = 7 9009...... = 9 653...... = 8

0022468400410422

5........


=

00 AHBG MCG Rh22f a .dG S HQCG FHCG Y ihdH L?e c

.......... :HG c f. kL ........ = ..........

:cCG (1)

(5)

)2:cCG (

( CG ) ,16 ,822.... , .... , .... , 3()522.... , .... , .... , 75 , 50 ,

+= ( CG )() 2``````52``````5

...``````...- 17``````8

...``````...


89VjdG

( CG )54226 6400 4()822 94 4648(`L) 10713 1193

.G H fdG g ue

dG60

MCG70

KEG90

AKdG110

AHQCG80

G70

G100

dGbdGh dG OY



379.... = 322 135...... = 8 653...... = 70022 5...... = 5 8109940044

(1)

(5)

)2:JBG TCG e c a G AG idG dG M (

,, 1``````41``````3,

1``````23``````4,,

1``````41``````3,

1````2

3``````4,,1``````3

1``````2,2``````3

3``````4

:cCG (3)( CG ). .................... LQdH kdZ IQGG Sb

(). .................... IMH IOY GgG RJ

(4)d SdG H SG HLEG Y uM:QcG G bh MG Y

( CG )...... dG e dG J - cDe).(e -()...... NCG iT d S - cDe).(e -(`L)..... FdEG Y dhdG IgR Lh Y IMGh f QX MG ).( , , 1````2

1````2

1````3

1 ```6`K SQe GhOCG jT TG . kL 488 e gdGh e jT NCG

224 IMGdG K dh L 108 SQG iRh , kL 722. kL?e j GPa

.............................................................................

.............................................................................

.............................................................................

91VjdGSdGRhQ He

:ddG OGYCG H e jOdG OGYCG Y uM (1)

(5)

(4)iMEG d jdG OdG dG hG je GYCG a dCH HdG e jQL ib

000 EG 19502.G H fdG g e .

SQG AH dJ fc GPEa .FGHG SQGe 9 AH dG HCG g eb647 IMGdG22?SQGG g AH J a ,L

.............................................................................

1950022

1960522

197040

198050

199055

0002270

dGdCH dG OY

( CG )13978 ,10865 ,18643 ,15676 ,9754 , 4651()?dG a ,gh hC CN JBG dG Y hJ

1779.596 = 6............... :C CN

, , ,...... , ...... , ...... , ...... :iYdG JdG

...... , ...... , ...... , ...... :RdG JdG

1````2

1````3

2````5

7````10

)2:kdRJh kjYJ ddG QdG JQ (

:dG EG HLEG bCG hCG dG HLEG M (3)( CG )...... dG GMh e.(G , GdG , GLdG)

()....... iOdG fEG IQGM LQO35)37 ,55 ,.((`L)...... dG jCG OY(ej 370 , ej 365 , ej 360)

29

29

601

8

52

4

3

761

:

:

:

:

:

:

:

(75 * 28)

4

4

08

002

041

: 2115 / 7002

18

331

Math 3 prim t2-web.pdf

Documents

Transcript of Math 3 prim t2-web.pdf