Page 214 - Matematik Tambahan Tingkatan 4 KSSM

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Pembahagi tembereng garis Garis selari dan garis serenjang
nx + mx ny + my
P(x, y) = ( , )
2
1
2
1
––––––– –––––––
m + n m + n
Garis y = m x + c dan y = m x + c
1 1 2 2
adalah selari jika dan hanya jika m = m
1 2
GEOMETRI KOORDINAT
Garis y = m x + c dan y = m x+ c
1 1 2 2
berserenjang jika hanya jika m m = –1
2
1
Persamaan lokus
• Lokus titik bergerak P(x, y) yang
jaraknya malar dari titik tetap A(x , y )
1 1
2
2
2
ialah (x – x ) + (y – y ) = r Luas poligon
1 1
1 x x x ... x x
= –– 1 2 3 n 1
• Lokus titik bergerak P(x, y) yang 2 y y y ... y y 1
3
1
n
2
jaraknya sentiasa malar dari dua titik 1
––
= x y + x y +, ..., + x y – x y –
tetap A(x , y ) dan B(x , y ) dalam 2 1 2 2 3 n 1 2 1
1 1 2 2 x y –, ..., – x y
nisbah m : n ialah 3 2 1 n
(x – x ) + (y – y ) 2 m 2
2
1
1
–––––––––––––– = –––
2
(x – x ) + (y – y ) 2 n 2
2 2
• Lokus titik bergerak P(x, y) yang
BAB 7 berjarak sama dari dua titik tetap
A(x , y ) dan B(x , y ) ialah
1
2
2
1
2
2
(x – x ) + (y – y ) = (x – x ) + (y – y )
2
2
1 1 2 2
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N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
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N
N
N
N
N
N
N
N
N
A
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
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N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
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D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
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N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
D
D
D
D
N
N
N
N
N
N
N
N
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
D
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
I
I
S
I
I
I
S
S
S
S
S
S
I
I
I
I
I
I
I
I
I
I
I
I
S
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I
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I
S
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I
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J
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S
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J
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J
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S
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S
I
U
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U
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U
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U
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U
L
L
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L
L
L
L
L
L
L
U
U
U
U
U
U
L
L
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U
L
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L
L
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L
L
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L
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U
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T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T
TULIS JURNAL ANDA
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
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U
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U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
L
L
L
L
L
L
L
L
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L
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L
L
L
L
L
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L
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L
L
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L
L
L
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L
L
L
L
L
L
L
L
L
L
L
L
L
I
I
I
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I
L
I
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I
L
L
L
L
L
L
L
L
L
L
L
L
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
L
L
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L
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L
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L
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L
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L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
L
J
N
N
N
N
N
N
N
N
N
N
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N
N
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N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
N
N
N
R
R
N
N
N
N
N
N
N
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
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R
R
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R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
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N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
A
A
A
A
A
A
A
A
A
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Geometri koordinat telah memperkenalkan bentuk am, bentuk kecerunan, bentuk pintasan
atau bentuk yang lain dalam mengungkapkan suatu persamaan garis lurus. Apakah kelebihan
dalam mengungkapkan persamaan dalam setiap bentuk itu? Bentuk persamaan yang manakah
menjadi pilihan anda untuk digunakan? Mengapa?
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