Page 245 - Matematik Tambahan Tingkatan 4 KSSM

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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. Rajah di sebelah menunjukkan tiga vektor, a, b dan c Y
∼
∼ ∼
yang tidak selari. Ungkapkan TP1 b
→ ∼ Z
(a) XY dalam sebutan a dan b,
a
→ ∼ ∼ ∼
∼
(b) XZ dalam sebutan a dan c. c X
∼
∼
→ → → →
2. Diberi PQ = 3ka – 4b dan XY = 4a + 8b. Jika PQ selari dengan XY, cari nilai k. TP2
∼
∼
∼
∼
3. Diberi p = mi – nj ialah vektor unit dalam arah p, ungkapkan m dalam sebutan n. TP2
∼ ∼ ∼ ∼
2
2
+
h
k
4. Diberi u = ki + hj dan v = i – 4j. Jika u + v = , ungkapkan h dalam sebutan k. TP2
∼ ∼
∼
∼
∼ ∼
∼
∼
→ 5 → 10
5. Diberi A(3, 4), AB = ( ) dan BC = ( ) . Cari TP2
12
–3
→
(a) vektor unit dalam arah AC,
(b) koordinat C.
6. R
6. Rajah di sebelah menunjukkan segi tiga PQR dengan
→ → → →
keadaan PQ = 3i dan PR = 2j. Diberi RS : SQ = 2 : 3, S
∼
→ ∼ j 2
ungkapkan RS dalam sebutan i dan j. TP3 ∼
∼
∼
P Q
∼ i 3
7.
7. Rajah di sebelah menunjukkan sebuah trapezium BCDE C
→ → → 1 → u
dengan keadaan DC = u dan EB = v. Jika ED = BC, ~
∼
∼
→ 2
ungkapkan BC dalam sebutan u dan v. TP3 D
∼
∼
B
v
E ~
8.
8. Rajah di sebelah menunjukkan sebuah heksagon sekata, a A
→ → ~ BAB 8
ABCDEF dengan pusat O. Diberi FA = a dan FB = b, TP3 F B
∼
∼
(a) ungkapkan setiap yang berikut dalam sebutan a dan/atau b, b
∼
∼
~
→ → →
(i) AB (ii) FO (iii) FC O
→ → →
(iv) BC (v) FD (vi) AD E C
→ →
(b) nyatakan hubungan antara AB dan FC. D
→ →
(c) tentukan sama ada AC dan FD adalah selari atau tidak.
237