mathematics holiday homework.docx
TRANSCRIPT
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NAMA:MOHAMMAD ZAKWAN HAKIMIBIN MOHD ZAMRI
NO.MAKTAB:14038
KELAS : 202/302
ISI KANDUNGAN
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*BULATAN 1*BULATAN 2
*POLIGON 1
*POLIGON 2
*PEPEJAL GEOMETRI 1
*PEPEJAL GEOMETRI 2*LUKISAN BERSKALA
BULATAN 1!B"#$% &'()%
S+),- M,-
S+),- M$%,-
L$($)% P-%)D$) -$
P'
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T&-%#M$%,-S$&'()
T&-%
#M,-
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B!L$($)% &'()%
&1! N$($ π 3.142 )'22
7
&2! R'' ($($)% &'()% :
L$($)% π
2 π
B3! M%%)'+% ($($)% &'()%
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,%)," :
H$)'%# ($($)% &'()% 5%# 6'%5$
! -$ 7 9 #'%π =
22
7 !
&! $)- 2. 9 #'% π =3.142 ¿
P%5($% :
! L 2 πj
2 × 22
7×7
44
B! L
πd
3.142 ×2.5
7.8
B4! M%%)'+% $)- % -$
,%),":
!-$ $)- &'()% 5%# 6'%5$ ($($)% .
9 #'% π =22
7 !
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&!L$($)% &'" &'()% $(" ;4.2
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!L%#+,+ &'()%
1! R'' &#$ 6%%# (%#+,+
Panjanglengkok
Lilitan =Sudut pada pusat bulatan
360 °
P%%# (%#+,+θ
360×2πj
2 -$ 6%%# (%#+,+
,%),":
-$ 6%%# (%#+,+ ')' &'()% $+ '') 6 6')
&'()% $(" 40 °
% -$%5 $(" 14. 9#'% π 22
7 !
P%5($% :
P%%# (%#+,+ θ
360 ×2πj
40
360×2×
22
7×14
;7
9cm
3! -$ '') 6 6') &'()% 5%# $%#+' ,(" ')'(%#+,+
,%),":
P%%#
(%#+,+ $%,-
=& $("
1
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-$ '') ),- $%,- &
&'()% $ &(" .
9#'%π =
22
7
¿
P%5($%:
16.5
2×22
7×21
x
360°
> 16.5
132×360°
4 °
4! M%%)'+% -$
,%),":
-$ -$ ( &'()% &(" .
&
9#'% π =22
7 !
P%5($%:
8.8
2×22
7× j
= 60°
360°
21
P%%#
(%#+,+ =&
$(" 8.8
% '')
),- $%,-
&'()%
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8.8 × 7
22× 360
60
8.4
D!L' &'()%D1! R'' (' &'()%
Luas bulatan = π j2
D2! M%%)'+% (' &'()%
,%),":
H$)'%# (' &'()% %#%:
!-$ 1.4 9#'% π =22
7 !
&!$)- 20 9#'% π =3.142 ¿
P%5($%:
! L' &'()% π j2
22
7×1.4
2
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j2
14 × 7
22
4;
j √ 49
7
&! D$)- 2
2 ×7
14
D4!M%%)'+% (' &'()% $+ $&-$ ($($)% % &($+%5
,%),":
-$ (' &'()% $+ ($($)%%5 $(" 3;< .
9#'% π =22
7¿
P%5($%:
L$($)% &'()% 2 πj
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3;< 2 × 22
7× j
3;< × 1
2× 22
7
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L$($)% &'()% 2 πj
2 × 22
7×35
220
! L' ),- &'()%
! R'' (' ),-
Luas sektor
Luas bulatan= Sudut pada pusat bulatan
360°
L' ),- θ
360° × π j
2
&! M%%)'+% (' ),-
,%),":
-$ (' ),- $%,- &'()% $ &(" .
9#'% π =22
7¿
P%5($%:
L' ),-
30°
360° × 22
7
×4.22
4.
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! M%%)'+% '') 6 6') &'()%
,%),":
$&-$ (' ),- $%,- $(" 27.72 cm2
=
-$ '') ),- $%,- )-&').
9 #'% π =22
7 !
27.72 x
360° ×
22
7×6.3
2
>
27.72×360°
22
7×6.3
2
80 °
! M%%)'+% -$ 6&$( (' ),- % '') 6
6') &'()%
,%),":
D$&-$ (' ),- $%,- $(" 30.8 cm2
=
-$ -$ &'()% )-&').
9 #'% π =22
7 !
30.8 72°
360° × 22
7× j
2
√ 49
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j2
30.8 × 360 °
72° ×
7
22 7
4;
BULATAN 21! $-$$-$ &'()%
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2!S'') ( &'()%
x= y ¿ z x= y
a=b
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x+ y=180° x= y
a+b=180 °
P,($#,% 11! M%#%( 6,($#,%
P,($#,% $(" ')' &%)'+ )-)')'6 6 ')' )" 5%#$&)$ )$# )'
L&$" #-$ ('-' &#$ $$$$%5 .
2! M%+% 6,($#,%
S')' 6,($#,% $%+% %#$+') &$(%#% $$ 5%#
$$($+$%5 .
P,($#,% B$(%#% $$ ,%),"
&%)'+S#$ )$# 3
S#$ 6) 4
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P%)#,%
H+#,% <
H6)#,% 7
O+)#,% 8
3! $-$$-$ ')' 6,($#,%
3! B$(%#% &'' &$(%#%$
3&! B$(%#% 66%'-'= Dn
n×(n−30)2
,%),":
-$ &$(%#%:
! &''
&! 66%'-'P,($#,% $ &("
TIPS#$ )$# )$+
6'%5$ &-%#
66%'-'.
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P%5($%:
! B$(%#% &'' &$(%#% $$
<
&! B$(%#% 66%'-' n×(n−3)
2 8×5
2
6×(6−3)
2 1
4! S$)-$ S')' &%)'+ $+)+% $)-$ $+ $ 6'%5$ '
&"#$% 5%# &-)$%$"%#% 6'-% 6&$( $($6) 6
')' #-$. G-$ $)' $+%($ &#$ 6+$ $)-$ . M$(%5
,%),",%)," $)-$ 6 &%)'+ 5%# ($%:
B%)'+ P+$ $)-$
P+$
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T$ 6+$ $)-$
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T$ 6+$ $)-$
S)%#" )-6?$' '%#+$% 6'%5$ #-$ $)-$ =
$(%5 :
! J'(" '') ( &#$ #$
)$# % #$ 6)
! J'(" '') ( #$ )$# $(" 180° = $(%5 :
x
z x+ y+ z=180°
y
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&! J'(" '') ( #$ 6) $(" 360° =
$(%5 :
p+q+r+ s=360 °
P,($#,% 21! P,($#,% +) :
P,($#,% +) $(" 6,($#,% 5%# ' $$%5 6%%# %
S' '') (%%5 &-. M$(%5:
6
@
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P+$ $)-$ &#$ &'" 6,($#,% +) (" %#%
J'(" $$%5. M$(%5 :
2! S'') 6(% % '')6('-% 6,($#,%
2! S'') 6(% 6,($#,% $(" '') 5%#
)-&%)'+ ( 6,($#,% ,(" ' $$ 5%# &-&("%
2! S'') 6('-% 6,($#,% (" 6%##%6 +6
'') 6(% 6,($#,% $)' . M$(%5:
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3! M%%)'+% "$( )&" '')
6(% 6,($#,%
3! H$( )&" '') 6(% &#$ &'"
6,($#,% &,(" $-$ %#% &"#$+% 6,($#,% $)'+6 &&-6 #$ )$#.
M$(%5 &'" 6%)#,% &,(" $&"#$+% +6 )$#
&'" #$ )$# .
M+ "$( )&" '') 6(%
¿3×180°
¿540
3&! B#$ 6,($#,% %#% n $$ = &$(%#% #$ )$# 5%#
)-&%)'+ $(" n−2.
M+ = "$( )&" '') 6(%
&$(%#% #$ )$# ×180°
¿n−2×180°
S'')
('-%
S'')
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4! M%%)'+% "$( )&" '')
6('-% 6,($#,%
H$( )&" '') 6('-% 6,($#,% 360°
M$(%5 :
a+b+c+d+e=360°
T$6
J$+ '') 6(% )' '') 6('-% &'" 6,($#,%
+) %#% n
S$$ $&-$.
n= 360°
sudut peluaran
n= 360°
180−sudut eluaran
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P6( G,)-$1! P6( #,)-$
1! P6( #,)-$ $(" &%)'+ )$# $%$
5%# 6'%5$ 6%%#= (&- % )$%##$ .
M$(%5 = +,)+ +-) )$'.
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T$%##$
L&-
P%%#
1&! R" &-$+') %%'%'++% % %$
66( #,)-$ 5%# &-($%%
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2! K'&' % +'&,$
K'&' % +'&,$ $%#$%# 6'%5$ &$(%#%
'+ = &'' % )6$ 5%# $$)' < '+ = 8 &''% 12 )6$ . %# &?+% %)- +'&' % +'&,$
(" &%)'+ '+ . B%)'+ '+ +'&' )-$-$ -$6
< #$ 6) 5%# $? %+( +'&,$
)-$-$ -$6 2 #$ 6) % 4 #$ 6)
)6) )' < #$ 6) )6).
3! M&$% ,( &#$ +'&' %
+'&,$
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P6( G,)-$ 21! $-$ #,)-$ &#$ 6-$ =
65-$ = $($%- = +,% % -
1! P-$
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• P6( 5%# 6'%5$ ' )6+ 5%#
&-)%)%#% 5%# (-$ % +,%#-'%.
• T6+ &-&%)'+ 6,($#,% = $(%5 = #$ )$# = #$
6) )' &#$%5.• M'+'+ ($% &-&%)'+ #$ 6) )6).
• T6$ 5%# )-&%)'+ ,(" '+ #$ 6) )6)
(" (-$ $ %)- )' ($%.
• B$(%#% '+ #$ 6) )6) ("
%#% &$(%#% $$ )6+.
• M'+ #$ 6) )6) (" &--%%# %#%
)6+.
• T$%##$ 6-$ $(" -+ -%%# $ %)- '
)6+.
1&! P-$
• P6( 5%# 6'%5$ )6+ &-&%)'+ 6,($#,%
% '+'+ ($% &-&%)'+ #$ )$# 5%#
&-)' 6 )' &''.• T6+ &-&%)'+ 6,($#,%= $(%5 = #$ )$# = #$
6) % &#$%5.
• M'+'+ ($% &-&%)'+ #$ )$#.
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• B$(%#% '+ #$ )$# (" %#%
&$(%#% $$ )6+.
• T$%##$ 65-$ $(" -+ -%%# -$ &'' +
)6+.• B'' &- )#+ $ ) 6') )6+.
• T$%##$ %%# 6$-$ $(" -+ )#+ -$ &'' +
)6+ $ 6%%# '+ #$ )$#.
• P$-$ $%+% %#$+') &%)'+ )6+%5.
M$(%5 = 6$-$ &-&%)'+#$ 6) =
6$-$ &-&%)'+ "+#,% % 6$-$ &-&%)'+
#$ )$# 9 ))-"-,% !.
1!S$($%-
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• P6( 5%# 6'%5$ )' '+ (%#+'%# %
' )6+ &-&%)'+ &'()% 5%# $? %
(-$.
•
M'+ (%#+'%# (" &--%%# %#%)6+.
• T$%##$ $($%- $(" -+ -%%# $ %)- '
)6+.
1! K,%
• P6( 5%# 6'%5$ )' '+ &-&%)'+
&'()% % )' '+ (%#+'%# 5%# &-)'
6 &''.• T$%##$ +,% $(" -+ -%%# %)- &'' %#%
)6+.
• B'' &- )#+ $ ) 6') )6+.
• T$%##$ %%# +,% $(" -+ )#+ -$ &'' +
)6+ $ 6%%# '+ (%#+'%#.
1! S-
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• P6( 5%# 6'%5$ )' '+ (%#+'%#
%#% +% ' )$)$+ 6 '+%5 &--+
-$ 6').
•
T$+ 6'%5$ )6$ % &''.
2! L' 6-'+%
2! L' 6-'+% ')' 66( $(" '(" ('
'+ ('- 66( $)'.
2&! R'' &#$ (' 6-'+% 6(&#$ 66(:
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3! M%%)'+% 6%%# $$ =
)$%##$ = )$%##$ %%# = -$ )'
$)- &#$ ')' 66(.,%)," 1
10
R" $ ) %'%'++% &'" +,%. L' 6-'+%
+,% $)' $(" 1131.12 cm2
. -$ %$($ x . 9 G'% π =3.142 !
P%5($%
L' 6-'+% πj2+πjs
1131.12 3.142×102+3.142×10× x
1131.12 3.142+31.42 x
31.42 x=¿ 1131.12 314.2 816.92
x=¿ 816.92÷31.42=26
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,%)," 2
S&'" - 6'5$ (' 6-'+% 380 cm
2
. -$
-$ % $)-%5. 9 G'% π 22
7¿
P%5($%
K)+% -$ - $(" j .
L' 6-'+% 4 π j2
38; 4×22
7× j
2
j √3850× 7
88
√ 306.25
17.
O(" $)' = $)- - 2×17.5
3
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L'+$% B-+(1! M(+- &%)'+ %#%
%##'%+% +-) #-$
1! L'+$% &-+( $(" ('+$% ')' ,&+ 5%#&-+-% %#% '+'-% &%- ,&+ $)'.
1&! L'+$% $)' '%#+$% $? = $+$(+% )'
$&-+%.
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2! M('+$ &%)'+ #,)-$%#$+') +( 1 : %
2! S+( 5%# $#'%+% ( ('+$% 5%#&-+( $(" %$&" $? ('+$% +6 $? ,&+
&%-.
M$(%5=
8
<
3 4
J$+ A $(" ('+$% &-+( &#$ B = + +(%5 $("
3:4 .
2&! S+( ')' ('+$% &-+( &$%5 $'%#+6+%
( &%)'+ 1: n 5%# &-+' 1 '%$) 6 ('+$%
S+( ('+$%
¿ Saiz lukisan
saizobjek
)' Panjang sisi lukisan
panjang sisi sepadan objek
O&+
L'+$%
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C+$($ n '%$) 6 ,&+ &%-. M$(%5 = +( 3:4
$'%#+6+% &#$ 1:4
3 .
2&! B#$ +( 1: n = $+
! n=1 = $? ('+$% %#% $? ,&+.
&! n>1 = $? ('+$% (&$" +$( -$6 $? ,&+.
! n