1. suLlr 347211
3472t1
Additional
Mathematics
Kertas 1
September 2009
2 Jam
JABATANPELAJARANNEGERI
JOHOR
PERCUBAAN
PEPERIKSAAN SPM 2OO9
MATHEMATICS
ADDITIONAL
Kertas 1
DIBERITAHU
BUKUJAWAPANSEHINGGA
JANGANBTJKA
MARKIN SCHEME
G I
------J
l(ertas 6 bercetak
soalanini mengandungi halaman
347211tlak CiptaJPNJ 2009 [Lihat sebelah
SULIT
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2. Solution Submarks fotal marks
(a) 4
(b) 5
(4 s18)= 1 2
g-'(x) = " =' B1
/
lv
( b)gh(x) = -^ - 6@ equiv a le n t
J
qh(x) =z(!-1) + 1
' 'a rJl
^)
(-
l^ .l
9 l ;-r I
J )
1(
g(x) = - TU 3
x
11 ) B2
9(Y) = j5 l '-l
v )
la I.
rtl ----1..-* i= ) - 4
-
x-r )l
J i
x- _1
p=12 J
k=-4 82
3+k=-1 @3k=p@ equiva le n t B1
(a)a=1
(b)b=3
(c) c= -3
6 x<-3 , x>3
,/
' t/
*--
:-- /- @equivalent
zi -:+ 82
-3 -/ 3
(x+3)(x-3)"0 @ x=t3 B1
i
'L__ _l '
-L
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3. Submarks Totalmarks
.x I
J = *-
9
I
l 8 (3 -) = 2
2 7 (3 ',) (3 .1 = 2
-g 82
3 *.3 3 3 *.3 2
- =2
I B1
I a i " :,
li rog,=los,
f-
x zqlu,g,
+
I i
i i log,x = 19"sJ- oranybase /"
l--:
I I log19
it
t--T-_-
I Ilt
ll"
i
I
iirl
l^
l) o o = -..-.-
l I'
l81
t-*-f"--- :
il1
, o n=12
i i
it
t:*ol_:5rli?_og
I i ,,' 2(2)
i i,,-
i j ;[:r-s)+(i?-l)4j,2oo
i1 -
I is"200
i--]*-
tr
i
I i l,
1, .= :
18
2
tt
i i2 v B1
it
f--T-_-6a n d n =1 .7 4 1 1
1 2 j m =1
i J
ii A
-loez
r=-! orlogn
lo g ,
T
i ltos,m=4or 82
tl log,),= logz _ "rlog,
at n
i I B1
li
il
L_t_
_-
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-,-.----_-L L__

4. S[b marks T Totalmarks
-;-|
l =6 a n d s=-2 0
t=6 o r s=--2 0
s + 3 / = -2 ,2 s- 4 t =1 6
(Solve simultaneous equation)
s+l+2t+14
?
1
.r ol
-'l-
l
L-ol
2'l
82
1lo 2
I
o ol
4l
- _ *' I
a li a I
tl+ r -r
A (0 ,4 o r D (0 ,-1 )
)
/
2
,l
/
B1
either or
2a
.(l t, -b
!
(a) k=2
a
')*-
2
q
k +7 =2 )@,: =3 ),
"2
g
(ft+ l )q- ::h = l (2 q -3 [) @ equivalent
2-
nS = .1.pQ
.--]
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5. t. 1
rv l-
l O-
( a) '-
p
lr- p'
(01
.e r:;'
srn--=^l
? l
Ll
)
g
^(
'o:l- 2sin'l - |
2)
2.044 cmz 4
1^ 1
-
:(5)'(0.6435) _(aX3) B3
2'' 2
l1
(0.643s)or 82
1$)' 1{+X3)
Shaded region = Apon- Apon
IPOR = 36.870 or 0.6435racl
=
.V 1 .4 4 4
-0.06 B3
-96
6y=--:x0.02
- aa 82
3Z
),,
5 I
? = - 4(21)x'5 or -4(24)x
dx
(-t I
| -:.4 I 4
I
2 )
I
I d'y 2 . d2,,
-;* = -; ?r.rd-=4 ,= -16 B3
I
dx' x'' dx'
,l
I
4-L-'
2 82
Q- = q- --1- equivatent
I
I
clx
ro
x'
B1
I
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6. 4
.;
J
-
ZA:i--2(--1) 3
J
,- .]
l?r"-11'
t -" " l
lr l
Ix-l
L
t Izx-:l B1
;t ? I
rl_ x- I
(a)7
(b ) .r=1
x>0
I*:31:J":!l ,s
2 5 +x
2
B1
I
B1
x t-2 I
8+x a
(a) k-0,679 2
P(Z>k;=A.2486 B1
I
il
.r=8203'
I I(b) = 82..031
(b) .r
I
I
I lo67e=tjlo
L _i__ I
__i_
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