Page 45 - FOCUS KSSM TG 4 MATEMATIK TAMBAHAN

Matematik Tambahan Tingkatan 4 Jawapan

15. q = 8 – 3p 8 2
(b) m = — , n = —
16. a = 1, b = 3 9 3
1 11. (a) (i) 40v – 16u (ii) 12u + 10v
17. (a) 9i + 12j (b) —(3i + 4j) ~ ~ ~ ~
~ ~ 5 ~ ~ (b) 2 : 1
12
18. (a) 1 11 2 (b) —– 12. (a) (i) 12q – 4p (ii) 4p + 24q
–13 13 (b) — ~ ~ ~ ~
2
–1
19. 1 2 3
–2
1
2 13. (a) (–2, –3) (b) ——– 1 2
21 5 9 ABB –3
13
20. (a) i – 6j (b) i + — j (c) —
~ ~ 4 ~ 2 ~ 2
21. (a) 7i + 7j (b) (b) 5i + 15j 14. (a) (i) –3i + 6j (ii) 9i + 11j
~ ~ ~ ~ ~ ~ ~ ~
(b) 13 unit
22. (a) 5i + (3 + h)j (b) h = –15, 9
~ ~ 15. (a) 3 p + q (b) (0.2, 4.4)
2
23. m = 2, k = 21 5 5
2
16. (a) 1 kali
6
24. (a) 1 2 (b) –6i + 11j 3 5i – j
4 ~ ~ ~ ~
(b) (i) 5i – j (i) ———–
~ ~
ABB
7
7
1
25. (a) 1 2 (b) ——– 1 2 17. (a) 1.970 m s pada bearing 023°58ʹ 26
ABB 5
5
–1
74
(b) 2.154 m s pada bearing 338°12ʹ
–1
→
26. (a) 6.71 unit (b) OA = q – p 18. 107.16
~ ~
19. (a) (i) Kapal P: (62, – 44), kapal Q: (51, 21)
27. 12i + j
~ ~ (ii) 65.92 km
(b) (–11i + 65j) km j –1
28. (a) 8i + 17j (b) 1 –11 2 ~ ~
~ ~ –13
Kertas 2 Bab 9 Penyelesaian Segi Tiga
1. (a) (i) 4v (ii) 2u – 4v
~ ~ ~
(iii) –2u
~ Cuba ini! 9.1
(b) –2u + 28v
~ ~ 1. Kenyataan Rajan tidak benar. Sepatutnya a = a .
6 3 sin A sin B
2. (a) m = —, n = — (b) 3 : 4
7 7 q r sin Q sin R
2. (a) = atau =
3. (a) (i) 6y – 3x (ii) x + 6y sin Q sin R q r
~ ~ ~ ~ m n sin M sin N
1 (b) = atau =
(b) — sin M sin N m n
3 8 6 sin q sin a
4. (a) 6y – 5x (b) 3.2 unit (c) sin q = sin a atau 8 = 6
~ ~ 24 11 sin 106° sin 37°
1 (d) = atau =
5. (a) (i) –2i – 3j (ii) –—–(–2i – 3j) sin 106° sin 37° 24 11
~ ~  ~ ~
13
16
(b) – —– 3. (a) 4.50 cm (b) 4.79 cm
3
3 4. (a) 13.08 cm (b) 18.24 cm
6. (a) (i) p – 8q (ii) —p + 2q
~ ~ 4 ~ ~ 5. (a) 42.75° (b) 32.91 cm
3
1
(b) m = – —, n = – —
2 2 6. (a) 19.74° (b) 28.26°
(c) 7.008 cm
20 15
7. (a) (i) —–x – 8y (ii) —–x + 2y
3 ~ ~ 2 ~ ~ 7. PR = 20.71 cm
8 9 8. (a) Kes berambiguiti wujud.
(b) m = —–, n = —–
11 11
A
(c) 43.08 unit
8. (a) 10x + 4y 26 cm
~ ~ 14 cm
9
(b) (i) 9x + 4ky (ii) —– 14 cm
~ ~ 10
25°
15
9. (a) (i) 25q – 30p (ii) 36p – —–q
~ ~ ~ 2 ~ B C’ C
(c) 141.5 unit
9 (b) Kes berambiguiti tidak wujud.
10. (a) (i) 8y – 6x (ii) —x + 2y (c) Kes berambiguiti tidak wujud.
~ ~ 2 ~ ~
(d) Kes berambiguiti wujud.
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