Page 179 - Matematik Tambahan Tingkatan 4 KSSM

Hukum Linear

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LATIHAN PENGUKUHAN
L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L
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1. Ungkapkan setiap persamaan tak linear berikut ke dalam bentuk linear, Y = mX + c, dengan X
dan Y ialah pemboleh ubah manakala m dan c ialah pemalar. TP2
4 p q
(a) y = 3x + (b) y = px + qx 2 (c) y = + x
3
x 2 x p
k
x 2
x

(d) y = pk (e) y = pk x – 1 (f) y =
p
2. y –
2. Pemboleh ubah x dan y dihubungkan oleh persamaan
2
y = px + qx, dengan keadaan p dan q ialah pemalar. Rajah di x
sebelah menunjukkan sebahagian daripada graf garis lurus (1, 5)
penyuaian terbaik yang diperoleh dengan memplot graf
y (9, 3)
melawan x. TP3
x x
(a) Tukarkan persamaan y = px + qx kepada bentuk linear. 0
2
(b) Cari nilai p dan nilai q.
3. Pemboleh ubah x dan y dihubungkan oleh persamaan log y
x 2 10
y = pq . Rajah di sebelah menunjukkan sebahagian daripada
4
graf garis lurus penyuaian terbaik yang diperoleh dengan (6, 5)
2
memplot log y melawan x . Cari nilai p dan nilai q. TP3
10
(4, 4)
x 2
0
4. Rajah di sebelah menunjukkan sebahagian daripada graf
4. y – BAB 6
y x
garis lurus penyuaian terbaik melawan x. Diberi bahawa
x (2, k)
2
y = 5x – 3x , cari nilai k dan nilai h. TP3
(h, 3)
x
0
5. y
5. Rajah di sebelah menunjukkan sebahagian daripada graf y
melawan x untuk persamaan y = ab , dengan keadaan a dan b Q(3, 32)
x
ialah pemalar. TP3
(a) Lakarkan graf garis lurus log y melawan x. Tandakan dan
2
nyatakan koordinat bagi titik-titik sepadan P dan Q. P(1, 4)
(b) Berdasarkan graf di (a), cari nilai a dan nilai b. 0 x
6. Apabila x y melawan x diplot, satu garis lurus diperoleh. Garis itu mempunyai kecerunan 8
2
dan melalui titik (2, 19).
(a) Tentukan persamaan yang menghubungkan x dan y.
(b) Seterusnya, cari nilai y apabila x = 9.4.
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