v ce:It vc
~Hl'U1lU~l1'YI 4 fUJil l'VfUti 2560
q
t1'tll 09.00- 10.30 'I.A .
I
~ q~
'lff>••••••••••••••••••••••••••••••••••• ,l..j1'-Jil'fJil..........................•..••.... til,tl'lJ.!JU'f)1J ...............•••..•..•.......
I
vq
fl't;"J1Utlll'61J ............. •......•........ ..... ..................................•... 't1'0.:j'£1'tJ1J •••••••••••••••••••••••••••••••••••••
0~
tlllflt>H
1. 1,r~',h~vulli]u~~1lJ"J:;1iivu ~n ft . 11~-;wm.nnl.:Jui]u~&riv1numHhrih.Jm"J
'Vl ~~VlJ ~ . ft. 2557 VV1-:J1fli.:Jfli'~
12. 'lv1UJ'Wo 1 'Vl'JQflt~'V.-l<l!!Jvt<'!!IV '11<'J!!V ~1-JI mtlH.-1~V~1'J '11<'J!!V ~1-JImWVH'"l'"f"1'dVl'JV'Wf"1"~'t.J- f1'tf'""W~
11'!J\/ J1!'J/11V.:J~VU ~W1~d~'\J1~
3. 11'1lJf1~nlvn u'Wnnm~ 11~v 1~mmiuuun~~vu 11~v m:;~nllt'h~vu 1~m~fl'll1fl
..
'l11fl"~'1'"l'lltf8lJ }J>·oI ll~~ U'l"l8 -U~ o~l) l~J YI tfflt'l. 81\l~o11U~'Ufl11 ~u.:Ilql
1. ,tJtJ"J~tllft~~~VlJi'W"J1Vi'tf1'1!'1."J""] '11~8 lJm1Vi'lf1
2. U~.:J '1tJu.:J~tll'Wffflll1'\JV.:J~1,j'1~VlJ 1~V~hU'Wf11'J'Vl1-:Ji'l!v
ru3. u~n'lq~m"J ~iN'W '1tlu.:J~mu'W m"Jffflll1 1~vtl"J ~nvum"Ji'u&'li'lfff1ll19lv
4. ~11U'Wfl~mlJf1t)'11lJ1Vi'WmW ~1fl~fl11lJ1-ffV'I11VUfh~ulJtll'J 'Vlfi~VUU~:; 'ff'Yift.
1VfH1'1'j if 11'J'W ~'ll ifnf'llV.:) ~tllU'W 'Y1 fl'ffVU'YI1.:) f11'j fffllllUli.:!'lfl~ (v.:~fi'fll'j lJltl'lf'W)
m"J .YhCJ"1111~v~flu11~ .:J'I1~m~vu~1 .:J1\.l~.:~ n~11 'il~ \1 n1i1ru'Wfl ~~ llJ f1t)'11lJ1V
.. ..
f)l~f"tf' )'U1'1.J...'U r<t!!'U g 1'1-A ft. ft . 2551
11f.l":: &tlf.I€1U'I.J'I.J'mUnm " 21 '11~1 '\l1u1u 30 'lio.
U'I.J'I.J't1 €11TO 'I.J ilU'I.JUii
'
VIO'Un 2 'lio":: 4 tl::uuu
..3. ,~~~~ o ~::'I.Jlf.J1-3f)"tJ'I1'SU 1l cYvI11tl'IJ'tc1l'11~J'Ul~'"t'll1'1€1'1JfSlll'l'fl'I.J
"'<:1<:1 '11 &'11€1\l11'0€11 2B
U'I.J'I.J't1€11Tfl'I.J1'lf 1'UtJ'I1" 1f.l 1€1
'~11/ 0 ~SI Sl VQ.I Q.l Sl Sl..,l
't10g€11U'I.JU'UO-!im ~ €1l'l:lfiWIO'I.J &'t'I\JfWI O-!iVI'a-!if)'I.JVI11tl'U'a'l1tl'1Vl'UOtl'O'iJ'iJU't'IU1uf)
UUU't1Vltl'OU
4. 0'1'Ufi01U'U::'U0.1..1..t.itnl "YIO'I.J'IJOl'I'O'I.J"&'"111"'11"1 &<ij " " " ,Utl1YIO'I.J'IJ011'fl'I.J€11f.JVI'Uifl-3Utl:: tJ.!f.;lfl.&. "'t'lf~jO'U.t.l€1tlflf)
fl1Yifl'I.J,~
.. 1"5. &~tJouou&u~ '\1 '111Ttl€l nl ::€11'Uf0i1Yitl'U:wnt!'&l 'UU'U'U't1€1trou
., .
v.-r~~nuhrl'u;i,.iifhn.i 1ufi 1 ~fl'llfl~ 2560
.
..., <:1
1. 1'U'YI 12 ~fl'llfl~ 2560
.
..., <:1
2. 1'U'YI 20 ~fl'llfi3J 2560
.
..., <:1 <:1
3. 1'U'YI 1 ~'Ulfl~ 2560
.
..., <:1 <:1
4. 1'U'YI 2 3J'Ulfl~ 2560
ll9 3
't'i'l
rnn 09.00 - 10.30 u.
l0inU1U&VI'-<SJ'Y.I.;U~9r1 .J'Y.,i;i!Vl Ull ~'-Jlflfl'11Nill<lV'W 1ril'U~.:J 12
3- X 5-
+2. 2.5 + 6.25
35
1. 3
2. 4
3. 18
4. 19
3. 91 m n = 212
~1 2 X2
mn = 26 91
2 +2 Ull1
mXn rrhi1urrh1VI
1. 2
2. 24
3. 27
4. 36
-
...t~rtUM1.JMf:'ltl~ O~I ·~
...t~rtt~tt.Jbtt-ltl~ Zfl '£
... ·zt~rtt~tt.Jbtf:'ltl~ 9ll
t~rtt~tt.Jbtt-ltl~ OZI 'I
~ttu.t~rtM.r:-u.tt:tu.tu.trt~~ t~m~nJbt or r:-1\rtJb~L~
I ';: ""f" !( 5:> "" 5:> ~
st~rtt~rtJbt ~~n ~ '£ nntrtL~tlrJrtLtlJrtu.rtrmM.trtL.L!ntnnmtirtrtJbtrt ·s
"" lsi ~ """" "" I ~ lsi "" s:> bl •
II
LZt~ttt~rtJbt ~~ rtYtttttli'JU.rtl~f:'G.L'!rt ·~
~Ill, "I " ~ ""
...
t~rtt~rtJbt S rtYH~tli'JU.rtl~f:'G.L'!rt '£
5:> ~ 5:> ·z
"" "' I I
b
t~rtt~ttJbt 9I tW~.L'!U.tLrJU.ttL~
~ ~ ~~
s ·rt~rtt~ttJbt
twr:-nM.nL~rt
... 5I :> ~""
..r:-a~u&ttm G~~LGn.
~ 5:>J~IIt I ~
t~n t~ttt~ttJbt 9£ ntn.aturJrtLtlJttttrtrJ~"'"'L.L!ntt~
I~ """" "" ,~ ~
~ ...
,. I
·~
s : : .. ..£~ nnltsri tl.L'!t, -U.r~tl~t-Gn.twrtLtlJt-Gn.rtt.I L!Lt~G, r"t"t-t5:>tM.Ir~ttrtrJ"~" M.mL.L!rI ~tt
.. I I
• .·n Of'OI- 00'60 L~tt ~':!,~;=== 09SZ !lrtMLlfrtU ~ U.tl.L!trtt
. . S.l3fNiit'S I' , !"'' ,
ld (,1, a!t lrtM.
~ f~.L'!l"~~IJ t6 LJlot.L'!,ltt
<:1' <:1' .. ..,
" "6.<:1 .c!l
~ 3""-JVI! 11HITI1 tUJJ.JN'UNl fl1H 6 '"U" 1 Ul1 8 '"U" 1 Uil~ \f-:.1 10 '"U" 1
'V'fl
..elm ,f<i:1'j~J...J.VI'<U:JI.J 'j3Jlfl'jn11~VI
.....,
1. 120 \]fl1Jlftfl'U1
2. 160 \]fl1Jlftfl-'U~1
3. 240 \1fl1Jlftfl-'U~1
.,
"""4. 480 \]fl1Jlftfl\l1
..
<:lo\J) t <S t V .., <S t " " <:1
3-J'Ul A'l1ilNl'U&VIJ.J't16V11UtlVI'jl&'j1 2.5 &3JVI'jfltl1'Ul't1
1. 300 •\]fl1Jlftfl&J.JVI"l
•2. 1,800 \1fl1Jlftfl&J.JVI"l
•3. 18,000 \]flUlftfl&lJVI'j
•4. 180,000 \]fl1Jlftfl&lJVI1
8. A EB
~--------~--~
F
.V
til
BF = FC U" ~ AE = 4EB .,V'<n!Il.!'<:Ytil_1Jl t<:l't l't'<i:'t"tl~ BFDE l!lfJll.! !'YiI l'A\ ~
U"1
1. 7
..
2. 1o ~n:n~ih
..
3. 13 V111Hl"."!1
..
tll1 7 ICJfl.!~I~VI'l &9l~th{lt.!l~~tl1tl'n6~{l~,~'lhlfi~lVI'll't'h1~
"v(fl0l't'il.!~A't'i 1t = -22)
7
"".!
1. 88 \}flUlftfUCJft!VII~VI'l
2. 154 "".!
\}fl1JlftfUCJft!VIl~VI1
3. "".!
462 \}flUlftfUCJft!VII~VI'l
4. 616 \}fl1Jlftf.!UCJft!"V"II~VI1
~~VJ fl1flWVIf1UYVJi
( _c NIETS
ar!Uimaoornomslblwiom (oownsui!W) l1t'11 09.00- 10.30 '1-!.
t..., .! Q, .Jt~
1 1 i --<1-T--O'IMo-1l!Ull'rt1Jtt!
4 1 2560
fJlJ.fll
(f0ll't'il!~~!'1I1I 1t = -22)
7
1. 280 Vll'H~UlJVI 'j
2. 440 VJl'jHilJVI'j
3. 594 VJl'jHilJVI'j
4. 880 Vll'jHilJVl'j
-
u& Ll an. u& n. an. ~N u an. ·p
" " "" "
u& Ll an. ~N n. an. u& u an. "£
" "" " " ·z
·r
~H Ll an. u& n. an. u& u an.
""' " " "
u& Ll an. u& n. an. u& u an.
" " "
t-~~tt(ll~tGl'o t1.~~t-Q.QMll!UUf.Ll!>Mo
lttl-tttl~Mll! Ll Hll.ttl~M.ll! n. ttn.ttl~M.ll! u
"" "" "
U.t-~ ~t~ttl-t l ~ ~~~l1l.Q
~I
IJWUYlll.tlntt-Qil. lttl-tttl~~l!ll Hll.ttl~ ttrtttl~t-QI1tlUU L~~~ U.IJI1t'Q.QMll!~Y ~~
" ~I ""'""'
""' .- "" "" " " Ill
~ :
// tl
.·.
tl /
~L ~~ttL.l!IJ~L&Ln.t~rtt~ttH.L~ ·u
•tt 0£"01 - 00"60 ll!tl _ _, _ _,_ , _ _ _ 09SZ !ltt.Mllfi1U J7 U.tl.Qittt
w(,1, fa(~) !!IJIO!-fii.VSilJOI.UilCilOIJ1UII ~ t:> p no
S..L3 1 N ~ p "'
8 l~l-t I
fiJ.l!LWIJ~Ll J76 Ut.t.l!,ltt
///
// l.l
/ l.l
ftl'l'HHl-3lJ..V. ..I.U"'VI-30'\ll'U1Ugfl1JUHl'.Y. -I='~~&"VI'\llflfll'.ilJtl-3 V" ll'U"U" l-3 'H<'.!Iitl V" ll'U1JU
'Utl-3llJI'.i'UlflWVI"'llJij~ flt>"1Yt>1VI
" "1. ftl'nVIl'U'Ul -3 2 " "2. ftl'nVIl'U'UH 22
2 1
1
"3. ill'WV11U1JU 2 1 "4. ill'WV1l'U1JU 2
2
2 1
A
13.
c
mi1 A0 minl
BDC = 120
1. AB = AC
2. BD =CD
AA
3. DBC = DCB = 30°
AA o
4. ADB = ADC = 110
14. A
5D
..
An l_ BC fl"l\71 D U'il~ BD un 5 't1t.hml'~1 DC fJ11fl't1\hrJ
I
1. 8 't1'\.!1fJ
I
2. 9 't1'\.!1fJ
I
3. 12 't1'\.!1fJ
I
4. 14 't1'\.!1fJ
15.
l' y
"'"'A
-L . ...
'
0X
1\
B
\
"
..
1'l\'lt.l A IU'Wlt.l~uuuu tn1ut.lt1.:~1w~tJ1~fitJ,t.lil,3.ilh1'l\',o~ illvt B
1. 't'i~'Wltl~tAuuu 1tl'U'll~ o 1"Wllfl't1H't11'W!aUa.J'WlWtniU'U~a.J 180 tl.:Jfll
..2. t1'~'!ItI1tl'U1-1·J!IVII'UU'U'U~&~Ua.cJt Ufl'U Y !~l·J'Uitl!I'IUtl'~ '!tIlI tl'U Ut!1II1tl'~'!tII1tl'Uillvt~'t1~&~&~UlcJt
..3. "~ntJtA1t.l~tA~mul~uiluntA x IU'WI~'W"~ntJ'W u~1t1'~ntJ'Willl1' nM1~uil
4. !t~l'tl'UllJ-V· I!'IUI U'U'U'UUl'UUflU X , l_J.'tlHCJ!IfIlrJ 6 't'i'U' 1U Ut1!I1I tl'~ '!tII1tl'Uilll1'ctt''IJ1Il~~& ~UJ.cJt
UflU X IU'UI~'Utl'~lltl'U
rnn 09.00- 10.30 u.
D
16.
A
II
f•ll't'IUV'U"'lt'"i "vh_JIil'UU't'i"tqUJ3J ABC flil"ltlf1v1J1vI-J1!l'l3Jl't'iiqUJ3J DEF
lUil'l3Jl't'i~t13J ABC il~1Ut111 2 ~1 3 ~1 Uil~ 4 ~1 Uil~l!Jil'l3Jl't'i~t13J DEF
ilfi113Jtll11~1Jl11 36 ~1
IV
q , qq ' Q.l
~
3. 3J il'~.:JV11U't13Jf1113Jtll1~l.:Jf1U 20 U1
rnn 09.00 - 10.30 l.!.
0
17. fll11l.!~
4' 7' 10, 13, 16, 19, ...
tthmuulU"U~.!i.Ull.!1l.! 1vuJ clct
'VHll.!'t1 1 IU't..! 4
vn1l.!clnct 2 1iJu 7
'W1ll.c!'ltc1t 3 IiJl.! 10
'W1ll.c!'lt.1q' 4 IiJl.! 13 .•.
l:f.,.,
'VU~~vwIm~tJ l.!_MI gtwmV .!i
cl.:t'
1. 'W1ll.!'t1 1s tiJl.! 54
clct
2. 'W1lt!'t1 1s tiJl.! 46
cl.q' V I clct I
3. 'W1ll.!'t1 17 l.!~tlfl1l'W1ll.!'t1 19 ~~ 6
'clct
<V cl.:t I <V
4. 'W1ll.!'t1 10 11a.Jfl1J'W1ll.!'t1 11 A't1lfl1J 65
I
( A'lf'l-l 12,13,14)
.,
tl1Ntl"l13H11Q"U6~1Jfl"l iJ~tT13JfiUAcy),OUfl1Q"Ufl~ ~~tlll'lf 1fl't'ffl~ 11Jfl"lflU flfl 1QAcyj,1~
1. 22 iJ
2. 23 iJ
3. 24 iJ
4. 25 iJ
il
1. 14 ~13.1
il
2. 33 ~13.1
3. 34 ~i1l3.1
il
4. 35 ~13.1
16!II
't'I'Ul
1. X -1
2. y = 2
3. y 3x-1
4. y = 3x + 5
0 .
Q.l ' Q.l
1. tHH'lll'U1U'U'U(;)HflU 16
..
2. Nt1t]W'Ue>~tfe>~111U1UUUIUU 18
3. 't'l~~1utJe>~111U1U,i'UIUU111U1U~
..
4. 't'lcU~1utJe>~111U1UUU3Jlflflll 18
run 09.00- 10.30 u.
iJ22. tiill (a , b) A 'Ufi01VIfl1.J"llfl~".i~1.J1.JtUJtn".i
3x + 6y = 0
3x- 2y = -8
mn iJ 1il (a , b) ~~~ 'Ufl0 lVIf>U"llf>~trlJtn".i 'U"lilfl>~VI
1. x+2y = -3
2. x-2y = -4
3. 2x+y 3
4. 2x-y = 5
.,
".i 1lJ"llf>~cUvfU<":.li f.l'U'Ht""y~'t'Jflfl'U!A'UI'U 4 : 3 til/l'oUl'l1Ucfvl'l1lJ"llf)~l,c!vf<U":.lif.l'U'"H"ty~fJflfl'UA~~U'U
1,050 nltm1lJ Uil~Jl'l1Umtl~f.l"llf)~Um1£Ju'trlf.l..rf)f.lfl';h 70 nl~m1lJ~~iium1vu
1. 12 fl'U
2. 16 fl'U
3. 20 fl'U
4. 21 fl'U
-
IZ •t
Z1
oz
"£
[[
ZI ·z
L
L ·r
z
I~ill.Utt,n.y ~tU tU"!~~~l:m
bl IJ>,.
~ttl I t-QIUU~~ltUU!i~t rT.fl!.t~lH!UM,U.ttt.n.Y~~UtrtltiR~U tturtQtMlrtUQQ~rti Z
1;7 ~ "Ill"' "'!" IJ> I
,. " ," ,.
·sz~Ltuulin.nr.trth~u~MLO ~tu £ rt~.Q~~n ~rti t t-G~r.tm~Ltuulirtr:-tt.&-~,n.wt-i'1
""r "
"' 1 "'" ,. """' ,. 1;7 ""
tt.ttt.l~ 81 •t
0
tt.ttt.l~ Z1 "£
0
tt.ttt.l!;\ OI ·z
tt.ttt.L!;\ 9 ·r
. .tt.ttt.l!;\\!~rt!.tt,-._lt~L OOt l~UilG,tt~n OO'Z l~UUlrttt._t,t.tt.ttt.l!;\l!ll~l
..tt.,Yl~ftL~~ln.~Yt!U~!.t~~~n Y~!.trtl~tt.ttt.l!;\tt.(lit-ll~.flrt~~ln.~it~,(tlt\
~ ~ ~~
. ·tztt.t-~ n.L t ~~1n.~r.t~n.rt
~, ,~
•tt. 0£"01- 00"60 L~ti --.o--i-,.-- ~ 09S'Z(lliiUIIISt~) QIIIO~qs\UOlUflCIIOm!lll.lll ~ !i'ltt.,MllfrtY t Utl~itt.t
81 wIA,fa 1:'6l~l-1, J;> I' ,
SJ..31N ~ }~.Ql~~~y ' U(,ti~~t
~tJufi' 2 uuu'j~tJlt~~·;ut11J'nAiJutih~tJu 'l11u1u s ~t)
~----- b -----~
28.
30.
fi:llli;pI .Ht<1'!! tlfl"...i.,·U.qf 2 &iill''U&~'nt-l•iJ".i~fltl'!UShI J'U~tJ tl'llti'UIl'll~&u!S'IU'Y.I.d'll~\IJ& ~il~tJ U'tttltl
&iJun·h1~ (~tJu1ulU'Yitl'UtJ3J )