mathematics holiday homework.docx

8/15/2019 mathematics holiday homework.docx

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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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11/40

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%'-'.


19/40

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+$


20/40

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


26/40

P6( G,)-$1! P6( #,)-$

1! P6( #,)-$ $(" &%)'+ )$# $%$

5%# 6'%5$ 6%%#= (&- % )$%##$ .

M$(%5 = +,)+ +-) )$'.


27/40

T$%##$

L&-

P%%#

1&! R" &-$+') %%'%'++% % %$

66( #,)-$ 5%# &-($%%


28/40

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-$


30/40

• 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'+'+ ($% &-&%)'+ #$ )$#.


31/40

• B$(%#% '+ #$ )$# (" %#%

&$(%#% $$ )6+.

• T$%##$ 65-$ $(" -+ -%%# -$ &'' +

)6+.• B'' &- )#+ $ ) 6') )6+.

• T$%##$ %%# 6$-$ $(" -+ )#+ -$ &'' +

)6+ $ 6%%# '+ #$ )$#.

• P$-$ $%+% %#$+') &%)'+ )6+%5.

M$(%5 = 6$-$ &-&%)'+#$ 6) =

6$-$ &-&%)'+ "+#,% % 6$-$ &-&%)'+

#$ )$# 9 ))-"-,% !.

1!S$($%-


32/40

• 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-


33/40

• P6( 5%# 6'%5$ )' '+ (%#+'%#

%#% +% ' )$)$+ 6 '+%5 &--+

-$ 6').

•

T$+ 6'%5$ )6$ % &''.

2! L' 6-'+%

2! L' 6-'+% ')' 66( $(" '(" ('

'+ ('- 66( $)'.

2&! R'' &#$ (' 6-'+% 6(&#$ 66(:


34/40


35/40

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


37/40

L'+$% B-+(1! M(+- &%)'+ %#%

%##'%+% +-) #-$

1! L'+$% &-+( $(" ('+$% ')' ,&+ 5%#&-+-% %#% '+'-% &%- ,&+ $)'.

1&! L'+$% $)' '%#+$% $? = $+$(+% )'

$&-+%.


38/40


39/40

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

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mathematics holiday homework.docx