Page 315 - Matematik Tambahan Tingkatan 4 KSSM

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LATIHAN PENGUKUHAN Latihan Intensif 9.1
L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L 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. (a) a + b (b) a – c 1. ∠A = 64°, a = 37.359 cm, c = 26.158 cm
~
~ ~
~
2 2. (a) BE = 8 cm, CE = 6 cm, DE = 15 cm
2. – 3. m = 2
1 − n
3 (b) ∠EAB = 53.13°, ∠BCE = 53.13°,
2k + 17 ∠BCD = 126.87°, ∠ABD = 81.20°,
4. h =
8 ∠CBD = 25.06°
15i + 9j (c) Segi tiga BDC dan segi tiga BDA mempunyai
5. (a) ~ ~ (b) C(18, 13) sudut dan dua panjang sisi yang sama saiz.
3. (a) ∠PQR = 120° (b) 5.529 cm
306
→ 2 →
6. RS = (3i – 2j) 7. BC = 2(u – v) 4. 61.62 cm
5 ~ ~ ~ ~ 5. 138.58 m
8. (a) (i) –a + b (ii) b – a
~ ~ ~ ~ Latih Diri 9.5
(iii) 2(b – a) (iv) b – 2a
~ ~ ~ ~
(v) 2b – 3a ~ (vi) 2(b – 2a) 1. (a) 3.576 cm (b) 18.661 cm
~
~
~
→ 1 → (c) 53.891 m
(b) AB = FC (c) Selari 2. (a) 51.38° (b) 35.26°
2 (c) 99.06°
( –21)
20
9. (a) (b) 29 km 3. 69.93°
( –32) Latih Diri 9.6
30
(c)
1. 29.614 m 2. 41.832 m
10. (a) (i) 6u (ii) 6u + 2v
~ ~ ~ 3. 48.046 km
(b) (i) 9u + 3v (ii) 9u + (2 + 3k)v
~ ~ ~ ~
1 Latihan Intensif 9.2
k =
3 1. 4.071 cm, 6.475 cm 2. 11.555 km
11. (a) (i) 4a + 4c (ii) 3a + 3c
~ ~ ~ ~ 3. 46.50° 4. 23.974 m
(iii) 4a + 6c (iv) a + 3c
~ ~ ~ ~ Latih Diri 9.7
4
12. (a) Halaju paduan bot Arul ialah 4i + j
~ 3 ~ 1. (a) 112.48 cm (b) 28.67 cm 2
2
7 (c) 75.21 cm 2
Halaju paduan bot Ben ialah 7i + j
~ 3 ~ 2. 27.08 cm
Beza laju ialah 3.163 m s –1 3. 51.23 cm 2
3i – j 4. 18.15 m 2
(b) ~ ~
Latih Diri 9.8
10
1. 16.14 cm 2 2. 17.69 cm 2
BAB 9 PENYELESAIAN SEGI TIGA 3. 2
Latih Diri 9.1 Latih Diri 9.9
2
p q r 1. 251.72 m 2. 66.17 cm 2
1. (a) = =
sin P sin Q sin R
k l m Latihan Intensif 9.3
(b) = =
sin K sin L sin M 1. (a) 6 cm (b) 6 cm 2
6 8 2. 43.012 cm 2
(c) =
sin 40° sin 120° 3. 7.501 cm atau 17.71 cm
4. 107.98 cm 2
Latih Diri 9.2
5. 89.23 cm 2
1. (a) 5.611 cm (b) 52.29° 6. 14.66 cm
(c) 9.331 cm Latih Diri 9.10
2. 55.34 m
2. (a) 19.52 cm (b) 115.87 cm 2
Latih Diri 9.3
3. 98.13°, 3.5 unit 2
1. (a) Wujud kes berambiguiti.
(b) Tidak wujud kes berambiguiti. Latihan Intensif 9.4
2. (a) 57.86° atau 122.14° 1. (a) 40.20 cm 2 (b) 125.63°
(b) 7.112 cm atau 18.283 cm 2. 9.266 km
3. (a) 31.24 cm 2 (b) Satah DBR
Latih Diri 9.4
4. 31.46 km, 187.11°
1. 10.147 m 2. 41.224 m 5. 457.80 m
307