第1章：有向數 - Browser Expressdata.pakkau.edu.hk/~fankawing/Maths_S… · Web view · 2005-02-22... 5x ( 2y ( 5 ( 0 (c) No. 39. (a) x 2 ( y 2 ( 14x ( 6y ( 4 ( 0 (b) Yes,

Answers 233

ANSWERS

Chapter 7Warm-up Exercise

1. (a) (b)

2. (a) (b)

3. (a) No (b) Yes

4. (a) (b) 20

5. (a) 2 (b)

6. (a) sin cos (b) 2

Build-up Exercise

Exercise 7A

1. (a) 32.0 (b) 55.2

(c) 19.5

2.

3.

4.

5.

6. 1

7.

8.

9.

10.

11. 45

12. 60.5

13. (a) 33.7 (b) 51.3

(c) 10.8 cm

14. 61.9

15.

16.

17.

18.

19. 51.1, x 9.3

20.

21.

22.

23. 0

24. 60

25. 45.2

26. (a) 58.0 (b) 15.1 cm

27. (a) 366.6 cm (b) 107.3

28.

29.

30.

31.

32. x 8.3, y 24.4

33.

34.

35.

36. 30

37. 30

38. 456

39. (a) 21.4 cm (b) 24.6

(c) 8.9 cm

40. (a) 153.2 m (b) 128.6 m

(c) 98.5

41. (a) 90 cm (b) 28.2

Exercise 7B

1. (a) 215 (b) 130

(c) 330

2. (a) 57 (b) 37

(c) 63

3. Quadrant III

4.

5. sin 20

6. cos 10

7. 1

8.

9.

10.

11.

12.

13. (a) 68 (b) 0

(c) 31

14. Quadrants II, IV

15.

16. tan 10 17. sin 40

18. 19.

20. 1 21.

22. 11 23.

24. 25. 0

26. Quadrants I, III

27.

28. cos 60 29. tan 20

30. 31. 1

32. 33.

34. 35.

36. 37.

Exercise 7C

1. 0 180 or 360

2. 90 270

3. 0 or 90 180 or 270 360

4.

5.

6.

7.

8.

9.

10. 3

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23. 3

24. (a)

(b)

(c)

25. (a) (b)

(c)

26.

27.

28.

29.

30.

31.

32.

33.

34.

35. (a) (b)

(c)

36. (a)

(b)

37.

38. (a) (b) 164.7

39. (a) (b)

40. (a) Quadrant IV (b)

(c) 300 (d)

Exercise 7D

1. (a) sin (b) 1 sin2

2. (a) sin cos (b) cos2

3. (a) 3 tan (b)

4. sin 5. cos

6. tan 7. sin 2

8. cos 2 9.

10. 1 11. 1

12. 15. sin

16. a cos a sin 17. 1

18. 19.

20. 21.

22. 23. 1

24. 1 27. 4 sin2

28. 6 29.

30. 1

34. (a) (b)

(c)

35.

36. cos 2

37. sin2

40.

41. 3 tan

42. 2a

43. 1

44.

49. (a)

(b) 1 3 sin2 2 sin4

50. (a) (b)

51. (a) (i) (ii)

(b)

52. (a) 3 (b) No

Exercise 7E

1. (a) 0.9 (b) 235, 305

(c) 45 x 135

2. (a) 0.3 (b) 50, 305

(c) 120 x 240

3. Max. 2, min. 2

4. Max. 5, min. 5

5. Max. 6, min. 2

6. Max. 6, min. 2

7. Max. 5, min. 1

8. Max. 3, min. 3

12. (a) Period 360, amplitude 4

(b) A 4, B 2

(c) 2 y 2

13. Max. 0, min. 4

14. Max. 16, min. 0

15. (a) (i) 0.4 (ii) 0.95

(b) 45, 225

(c) 0 x 45 or 225 x 360

16. (a) 0.9

(b) 102.5, 167.5

(c) 27.5 x 62.5

17. (a) 0.6

(b) 90, 630

(c) 180 x 240 or 480 x 540

18. Max. 1, min. 9

19. Max. , min.

20. Max. 3, min. 1


(b) A 2, B 1

(c) 1 y 1

25. (a) Max. 4, min. 1

(b) Max. 6, min. 10

26. (a) Max. 9, min. 1

(b) Max. , min.

27. (a) Max. 6, min. 2

(b) Max. 11, min. 2

28. (a) Max. 1, min.

(b) Max. , min.

29. (a) (i) 0.9 (ii) 0.8

(b) 30, 90, 150, 270

(c) 0 x 30 or 90 x 150 or 270 x 360

30. (a) 0.3

(b) 72.5, 107.5

(c) 0 x 30 or 150 x 180

31. (a) 0.6

(b) 410, 670

(c) 0 x 470 or 610 x 720


(b) A 4, B 4

(c) 4 y 8

36. (a) Max. 3, min. 1

(b) Max. 7, min. 1

37. (a) Max. 36, min. 0

(b) Max. 9, min. 0

38. (a) Max. , min.

(b) Max. , min.

39. (a) Max. , min.

(b) Max. , min.

40. (a) Max. 7, min. 1

(b) Max. 25, min. 1

41. (a) (i) 0.65 (ii) 0.45

(b) 60, 180, 300

(c) 0 x 60 or 180 x 300

42. (a) A 1, B

(b) Yes

Exercise 7F

1. 15, 195 2. 24, 156

3. 79, 281 4. 57, 123

5. 100, 260 6. 111, 291

7. 45, 135 8. 60, 300

9. 60, 240

10. 0, 90, 180, 270, 360

11. 216.9, 323.1

12. 47.9, 132.1, 227.9, 312.1

13. 40, 160

14. 30, 150

15. 45, 225

16. 0, 70.5, 180, 289.5, 360

17. 0, 90, 270, 360

18. 90

19. 35.3, 144.7, 215.3, 324.7

20. 45, 135, 225, 315

21. 135, 315

22. 30, 150, 210, 330

23. (a) (b) 32.5, 212.5

24. 50, 310 25. 15, 165

26. 15, 195 27. 135, 225

28. 104.0, 284.0 29. 240, 300

30. 120 31. 38.5, 241.5

32. 115, 295 33. 138.7, 318.7

34. 118.1, 241.9 35. 170.5, 350.5

36. 0, 180, 360 37. 0, 180, 360

38. 30, 150, 210, 330

39. 26.6, 45, 206.6, 225

40. 30, 150

41. 30, 150

42. 63.4, 153.4, 243.4, 333.4

43. (a) (b) 23.2, 203.2

44. (a) 2 sin2 5 sin 2 0

(b) 200.5, 339.5

45. (a) cos2 3 cos 1 0

(b) 72.4, 287.6

46. 30, 210

47. 92, 268

48. 61.5

49. 190.3

50. 107.6, 162.4, 287.6, 342.4

51. 200, 260

52. 0, 45, 180, 225 360

53. 32.8, 147.2, 212.8, 327.2

54. 75, 165, 255, 345

55. 0, 45, 180, 225, 360

56. 0, 180, 360

57. 90, 210, 330

58. 30, 90, 150

59. 56.3, 153.4, 236.3, 333.4

60. (a) 3 sin2 4 sin 3 0

(b) 32.4, 147.6

61. (a) 6 cos2 cos 1 0

(b) 70.5, 120, 240, 289.5

62. (a) 3 sin2 8 sin 3 0

(b) 19.5, 160.5

63. 26.6, 116.6, 206.6, 296.6

64. 47.5, 132.5, 244.7, 295.3

65. (a) x

4 4x

3 6x

2 4x 1

(b) 0, 360

Exercise 7G

1. 0, 180, 360

2. 90, 270

3. 150, 330

4. 45, 135

5. 0, 120, 360

6. (a) 85, 265 (b) 100, 275

(c) 85, 265

7. (a) 1 (b) 35

8. (a) a 2, b 1.5 (b) 60

9. 0, 180, 360

10. 60, 120, 240, 300

11. 150, 330

12. (a) 70, 330 (b) 130, 270

(c) 90, 310

13. (a) 85, 265 (b) 105, 290

(c) 60, 245

14. (a) a 4, b 3 (b) 70, 110

(c) 10, 50, 130, 170

15. (a) a 2, b 1 (b) 90, 145

(c) 245, 350

16. (a) A 3, B 1

(b) (i) 162 (ii) 63

17. 0, 180, 360

18. (a) 20, 70, 200, 250 (b) 100, 170, 280, 350

(c) 110, 160, 290, 340

19. (a) 45, 225 (b) 100, 170

(c) 280, 350

20. (a) 120, 300 (b) 150, 270

(c) No solution

21. (a) 255, 320 (b) 95, 275

(c) 85, 265

22. (a) a 3, b (b) 265

(c) 165

23. (a) a 4, b 1 (b) 15, 135

(c) 210, 300

24. (a) 4 (b) 90, 345

(c) 0 x 360

25. (a) a 3.5, b 36 (b) 129

Chapter Test

1.

2.

3. 64.8, 244.8

4.

5.

6.

7. (a) Max. 2, min. 0 (b) Max. 1, min.

8. (a) 2 sin2 3 sin 2 0

(b) 210, 330

(c) (i) (ii) Max. ,

min. 3

9. (a) Max. 1.8, min. 1.5

(b) (i) 90 (ii) 5

(iii) 0

(c) k 1.5 or k 1.8

10. C 11. B

12. D 13. C

14. A 15. B

16. C 17. A

18. D 19. C


1. (a) 33 (b) 102

2. (a) 4% (b) 20%

3. (a) (b) 10%

4. (a) $2 716 (b) km/min

5. (a) 3 (b)

6. (a) 100 (b)

7. (a) (b) 3n 1

8. (a) 6 : 3 : 2 (b) 12 : 4 : 9

9. (a) 8 : 6 : 15 (b) 2 : 1 : 12

10. (a) (b) 7

Build-up Exercise

Exercise 8A

1. p 18 15n

2. P 50 3t

3. A 450n 300m

4. (a) A h

(b) 1 2 3 4 5 6

h 36 18 12 9 7.2 6

5. (a)

(b) b 3 4.47 7 8.06 9.6

c 9 6 8.06 9 10.4

6. (a) V x

2h

(b) x 2 2.4 3 4 4.8

h 14.4 10 6.4 3.6 2.5

7. (a) y 4x (b)

8. A 50 11p

9. M 4.5p 5q

10. (a)

(b) b 1 2 3 4 5 6

A 5.5 11 16.5 22 27.5 33

11. (a) V r2h

(b) r 2 3 4 5 6

h 18 8 4.5 2.88 2

12. (a) C 2r (b) A r2

(c)

13. (a) (b) y x

2

(c) y x

2 3 (d) y 4x 1

14. Y 15n 23m

15. (a) A r

2 2rh

(b) r 2 4 5 6 8

h 24

16. (a) P 2(x y) (b) A xy

(c) (d)

17. (a) y x

3 (b)

(c) y x

2 2 (d) y 12 x

18. P 280 2n

19. (a) S 2x 3y

(b) (i) x 4p 5q (ii) S 8p 10q 3y

Exercise 8B

1. x 8 20 28 36 40

y 2 5 7 9 10

2. x 2 3 4 5

y 12 27 48 75

3. (a) 3 (c) 1.5

4. (a) (b) 25

5. (a) p 15, q 12 (b)

6. (a) 5 (b) 20

7. (a) (b)

8. (a) (b) 108

9. (a) (b) 2

10. (a) y 6x

2 (b) 36

11. (a) (b)

12. (a) (b) 32

13. (a) (b)

14. 15%

15. 30%

16. 32.25%

17. 20%

18. 19%

19. (a) 4 (b) y3 4x

(c)

20. (a) (b)

(c) 8%

21. (a) (b) 4 100 625

22. x 2 3 6 8 24

y 1 3 4 12

23. x 2 4 6 8 10

y 6 24 54 96 150

24. (a) (c) 2.5

25. (a) y 8x (b) 56

26. (a) m 15, n 40 (b)

27. (a) (b) 32

28. (a) (b)

29. (a) (b)

30. (a) (b) 1 512

31. (a) (b)

32. (a) (b) 4

33. 43.75%

34. 119.7%

35. 25%

36. (a) (b) 256

37. (a) y 4x

2 (b) 100

(c) 10%

38. (a) y 13x

3 (b) 832

(c) 20%

39. (b) y 2u (c)

40. (a) (i) (ii) y 2x

(iii)

(b) 40

41. (a) a 3(b 2) (b) 9

(c) 8

42. x 1

y 1

43. (a) (b) 6

44. (a) p 22, q 22, r

(b)

45. (a) s 3h2 (b) 147

46. (a) (b)

47. (a) (b) 30

48. (a) h 8c3 (b) 1 000

49. (a) (b)

50. 174.4%

51. 51%

52. 5%

53. (a) (b) 2

(c) 64%

54. (a) (b)

(c) 25%

55. (a) (b) 2

(c) 100%

56. (a) (b) 12

(c) y 12

57. (b) y 5u (c) y 5x

2

58. (a) (i) x 10z2 (ii)

(iii)

(b)

59. (a) 3 (b) y 2(3x 2)

(c)

60. (a) (b) 8

(c) 4

61. (a) (b)

(c)

Exercise 8C

1. x 2 4 7 8 28

y 28 14 8 7 2

2. (a) p , q 5 (b)

3. (a) (b) 4

4. (a) (b)

5.

6. (a) (b) 4

7. (a) (b)

8. (a) (b)

9. (a) (b)

10. (a) (b)

11. (a) (b)

12. (a) (b)

13.

14. (a) (b) 11

15. x 2 5 10 20 40

y 5 2 1

16. (a) p , q 25 (b)

17. (a) 100 (b)

(c) 1

18. (a) (b)

19. (a) (b)

20. (a) (b)

21. (a) (b) 0 m 3

22. (a) (b)

23. (a) x 1 2 3 6 12

y 12 6 4 2 1

3 12

xy 12 12 12 12 12

(b) (ii)

24. (a) (b)

(c) 3

25. (a)

(b) s 2, t 15; s 15, t 2

26. (a)

(b) x 1, y 36; x 6, y 1

27. (a) (b)

(c)

28. 10.8%

29. x 5 10 20 25 40

y 5 2.5 1.25 1 0.625

30. (a) (b) 2 187

31. (a) (b) 36

32. (a) (b)

33. (a) 42 (b)

(c) (d)

34. (a) (b)

35. (a) x 1 2 4 5 8

y 240 60 15 9.6 3.75

xy 240 120 60 48 30

240 30

x2y 240 240 240 240 240

(b) (iii)

36. (a) (b) 6

(c) 33

37. (a) m , n 4

38. (a) (b)

(c) 20%

39. 23.1%

40. (a) 7 (b)

(c) 2

41. (a) 9 (b)

(c)

42. (a) 3 : 2 (b) a 9, b 6

Exercise 8D

1. (a) (b)

(c)

2. (a) 2 (b)

3.

4.

5.

6. p , q , r 10

7. (a) (b) 120

8. (a) (b)

9. (a) (b)

10. (a) A kxy (b) 10.25%

11. 56.8%

12. (a) (b) 81

13. (a) (b) G k(h 1)2

(c)

14.

15.

16. u 3, v 3, w 8

17. (a) (b)

18. (a) (b)

19. (a) (b)

20. 44%

21. 12%

22. (a) (b) 9, 5

23. (a) 4 (b)

(c)

24. (a) z 2x2y (b) 100%, 300%

25.

26. (a) (b)

27. (a) p 24, q 5 or 7, r = 9

28. (a) (b)

29. (a) (b) 900

30. 50%

31. (a) 2 (b) y 4(x 2)(x 1)

32. (a) (b) 9

33. (a) (b)

34. (a) (b)

35. (a) (b)

(c) 25%

36. (a) (b) 32.3%, 232%

Exercise 8E

1. (a) y k1 k2x

2 (b)

(c)

2. (a) k1 4, k2 3 (b) 34

3. (a) k1 5, k2 8 (b)

4. (a) k1 13, k2 2 (b) 5

5. (a) k1 3, k2 12 (b) 27

6. (a) (b)

7. (a) (b)

8. (a) u = 2v v2 (b) 80

9. (a) (b) 5

10. (a) (b) 700

11. (a) (b) 261

12. (a) (b) 8

13. (a) (b) 48

14. (a) (b) 9

15. (a) (b) 8

16. (a)

(b) (i) (ii)

17. (a) y 2x

2 3x 4 (b)

18. (a) (b)

(c)

19. (a) k1 1, k2 4 (b) 5

20. (a) k1 45, k2 2 (b)

21. (a) k1 56, k2 120 (b) 38

22. (a) k1 2, k2 150 (b)

23. (a) y 1 2x

2 (b) 19

24. (a) (b)

25. (a) (b) 640

26. (a) (b) 23

27. (a) (b)

28. (a) (b)

29. (a) (b)

30. (a) (b)

(c)

31. (a) (b)

32. (a) y 2x

2 10x (b) 1, 4

(c)

33. (a) k1 2, k2 3 (b) 500

34. (a) k1 15, k2 21 (b) 6

35. (a) (b)

36. (a) (b) 222

37. (a) (b)

38. (a) (b)

39. (a) (b) 12

40. (a) (b) 45

41. (a) z 2x

2 16xy (b) 270

42. (a) (b)

43. (a) z 9 4(x 3)(y 2) (b)

44. (a) (b) 120

(c) 11

45. (a) (b)

46. (a) y 3x

2 2x 3 (b) No real solution

(c)

47. (a) y 8x

2 8x 6 (b)

(c)

Exercise 8F

1. I 2x

2.

3.

4. 115.2 m

5. (a) (b) 75

6. 3.125 cm

7. (a) (b) 32 s

8. (a) V 35 000 W

2 (b) $560 000

(c) $280 000

9. (a) (b) $2 025 000

10. (a) (b) 10 800

11. 8.70%

12. (a) S 2rh (b) 1%

13. (a) C 24r

3 (b) 5 cm

14. (a) (b) 12.8

(c) 7.3 hours

15. (a) E 78N 103T (b) $3 667

(c) 20

16. (a) I 12n 15m (b) $11 394

(c) $17 724

17. N 800HM

18. E 15m 12n

19. (a) (b) $10 000

20. (a) (b) 56.375 kg

21. (a) (b) 20 days

22. (a) (b) 50%

23. (a) (b) 884

(c) 20%

24. (a) (b)

(c) 15 cm (d) 33.1%

25. (a) V 4td

2 (b) $864

(c) 36%

26. (a) (b) 70.7 km/h

(c) 13.0%

27. (a) S 75P 885Y (b) $8 655

28. (a) h 25t 5t

2 (b) 26.25 m

29. (a) A 3 000(1 r%)2 (b) $3 630

(c) 6%

30. (a) (b) $15 850

(c) $550 000

31. (a) (i) $8 000 (ii) $120

(b) 250

32. P 200n 500

33. (a) 700% (b) 26.0%

34. days

35. (a) (b) $2 343.75

36. (a) (b) $169 706

(c) 2012

37. (a) (b) 6 cm

(c) cm

38. (a) (b) 60%

39. (a) (b) 61.5

40. (a) P 100 80h (b) $164

(c) $48

41. (a) (b) 250

(c) 25%

42. (a) (b) $28 320

(c) 5 400

43. $2 160

44. (a) (b) $495

(c) $153

45. (a) V 52 000x 150xy (b) $4 046 400

(c) 23

46. (a) (b) $400

(c) 8 cm

47. (a) $780 (b) C 15r

2 40r

(c) $590.625

Chapter Test

1. 72.8%

2. (a) (b) 50 625

3. (a) m , n 8 (b)

4. (a) (b) 0.8

5. (a) (b) 85.5%

6. (a) (b) 2.75

7. (a) S 40 1.2t

(b) (i) C 1.4t (ii) Network B

8. (a) (i) B 24(n 1) (ii) C 24n 4

(b) $236 (c) 1 hour

9. B 10. C

11. B 12. A

13. D 14. D

15. C 16. A

17. C 18. A


1. (a) adj. s on st. line (b) adj. s supp.

2. (a) vert. opp. s

alt. s, AB // CD

corr. s, AB // CD

int. s, AB // CD

(b) vert. opp. s

int. s supp.

3. (a) sides opp. eq. s

sum of

(b) ext. of

4. (a) mid-point theorem (b) intercept theorem

5. (a) alt. s, AC // BD

A.A.S.

(b) S.S.S.

corr. s, s

6. (a) vert. opp. s

ratio of 2 sides, inc.

corr. sides, ~ s

(b) 3 sides proportional

corr. s, ~ s

Build-up Exercise

Exercise 9A

5. (a) a c or x b

14. (a) AEP 36, EPA 72

Exercise 9B

9. (a)

12. (a) MN , ON

34. (a) (b)

Exercise 9C

3. (a) 60

19. (a) 45

Exercise 9D

9. (a) 90 (b) ADB 90 b

37. (a) 36

Exercise 9E

31. (a) b 90 a

Chapter Test

9. D 10. D

11. B 12. A

13. C 14. A

15. B 16. C

17. C 18. B


1. (a) (b)

2. (a) 1 (b) 1

3. (a) 2 (b) 4

4. (a) (3, 5) (b) (3, 2)

5. (a) (b)

6. (a) 4 (b)

Build-up Exercise

Exercise 10B

1. (a) 3x y 1 0 (b) 4x y 18 0

2. (a) 3x y 15 0 (b) 4x y 16 0

3. (a) 2x 3y 12 0 (b) 3x 2y 20 0

4. (a) 2x y 6 0 (b) 4x y 8 0

5. (a) 2x 5y 5 0 (b) 13x 3y 55 0

6. (a) 4x y 2 0 (b) 3x y 6 0

7. (a) 2x y 6 0 (b) 3x y 2 0

8. (a) (b) 2

9. (a) Undefined (b) 0

10. (a) x-intercept 0; y-intercept 0

(b) x-intercept 4; y-intercept 12

11. (a) x-intercept 3; No y-intercept

(b) No x-intercept; y-intercept 3

12. (a) Yes (b) No

13. (a) Yes (b) Yes

14. 3

15. 8

16. 4

17. 2

18. (a) (b)

(c) x-intercept 3; y-intercept

19. (a) 2x 3y 5 0

(c) x-intercept ; y-intercept

20. (a) (b) 10x 26y 21 0

(c)

21. (a) 2x y 4 0 (b) x y 8 0

22. (a) 7x y 26 0 (b) 4x y 4 0

23. (a) x y 4 0 (b) x y 2 0

24. (a) x y 2 0 (b) 2x y 6 0

25. (a) x y 5 0 (b) 2x 3y 6 0

26. (a) (b) 2

27. (a) x-intercept 0; y-intercept 0

(b) No x-intercept; y-intercept 3

28. (a) No (b) Yes

29. (a) Yes (b) No

30. 7

31. 7

32. (a) 13 (b) 10x 3y 19 0

33. (a) x 2y 5 0

(b) x-intercept 5; y-intercept

(c) Yes

34. (a) 2x y 2 0 (b) 2

(c) 2x 5y 6 0

35. (a) (b)

36. (a) (b) 14x 5y 3 0

37. (a) y 2 0 (b) 4x 2y 1 0

38. (a) 12x 7y 1 0 (b) 2x 2y 3 0

39. (a) x 2y 2 0 (b) 9x 2y 3 0

40. (a) (b) Undefined

41. (a) x-intercept 2; y-intercept

(b) x-intercept ; y-intercept

42. 4

43. (a) (b)

(c) 3x 2y 7 0

44. (a) 5x 14y 17 0 (b)

(c) (d) 140x 420y 17 0

45. (a) (b) 2x y 1 0

46. (a) (b) 3x 9y 64 0

47. (a) (b) 5x 3y 3 0

(c) No

48. (a) 3x 4y 9 0 (b)

(c)

49. x 2y 9 0

50. (a) (b) 44x 6y 137

0

(c) 13 : 20

51. 2x y 10 0, 2x 5y 10 0

Exercise 10C

1. (2, 2) 2. (4, 2)

3. (13, 2) 4. (3, 6)

5. (3, 2) 6. (4, 11)

7. (1, 2) 8. (4, 12)

9. (1, 1) 10. (3, 1)

11. (8, 8) 12. (2, 3)

13. (a) (1, 5) (b) 5x y 0

14. (a) 5x 3y 15 0 (b) (6, 5)

15. (2, 3) 16. (1, 6)

17. (2, 3) 18. (3, 1)

19. (1, 5) 20.

21. (0, 2) 22. (4, 5)

23. (a) 11x 7y 1 0 (b) (47, 74)

24. (a) 4x 2y 11 0 (b)

(c) x y 3 0

25. (a) (2, 1)

(b) (i) (ii) 3x 2y 4 0

(c) L1: x y 3 0, y-intercept 3

(d) 5

26. (a) (1, 2) (b) 3x 2y 1 0

(c)

(d) 2 : 1

27. 28. (1, 1)

29. (1, 2) 30.

31. 32.

33. (a) (b) 14x 3y 9 0

34. (a) A(5, 4), C(7, 2) (b) x 2y 3 0

(c) x 2y 1 0 (d) (1, 1)

35. (a) A(3, 4), P(15, 0), Q(5, 0)

(b)

(c)

36. (a) A(3, 2), B(2, 7), C(3, 1)

(b) (c) 4x 19y 26 0

37. (a) (2, 3) (b) x 1 0, y 3 0

(c) AB : 3x y 9 0, AD : 3x y 15 0

38. (a) P(2, 3), A(1, 0), B(3, 0)

(b) 3x 2y 12 0 (c) (4, 0)

(d) 5 : 2

Exercise 10D

1. (a) 18 (b) 153

2. (a) 0.577 (b) 0.625

3. 3x 2y 0 4. x y 2 0

5. x y 0 6. x y 4 0

7. 3x y 11 0 8. 7x 4y 17 0

9. 4x 14y 21 0 10. 5x 5y 3 0

11. (a) m1 , m2 (b) 6

(c)

12. (a) m1 , m2 (b) 8, 4

(c) No

13. (a) 35 (b) 166

14. (a) 1.54 (b) 19.1

15. x y 5 0

16. 4x 3y 14 0

17. 2x 3y 13 0

18. 3x 5y 4 0

19. x y 23 0

20. 2x 4y 9 0

21. 6x 18y 5 0

22. L1: 4x 5y 13 0, L2: 5x 4y 35 0

23. (a) 8x 11y 91 0

(b) Slope of AD , slope of CD ,

slope of BC

(c) AD: 11x 8y 102 0, BC: 11x 8y 83 0

25. (a) (b) 2

(c) 8x 4y 11 0

26. 2x 3y 3 0

27. 6x 15y 4 0

28. 54x 84y 55 0

29. 2x 6y 17 0

30. 25x 15y 24 0

31. 18x 4y 9 0

32. (a) Slope of L1 , slope of L2

(b) (c) Yes

33. (a) (b) 3x y 0

(c)

34. (a) (b)

(c) 15x 5y 86 0

35. (a) 8x 2y 23 0 (b)

36. (a) mx y 0

(b)

(c) 7x y 0

Exercise 10E

1. (a) Centre (2, 1), radius 2

(b) Centre (3, 9), radius 3




(b) Centre (2, 1), radius

4. (a) Centre , radius

(b) Centre (1, 3), radius

5. (a) x

2 y 2 2y 8 0

(b) x

2 y 2 4x 6y 12 0

6. (a) x

2 y 2 13 0

(b) x

2 y 2 4x 10y 21 0

7. (a) x

2 y 2 2x 0

(b) x

2 y 2 4x 6y 3 0

8. (a) x

2 y 2 6x 6y 9 0

(b) x

2 y 2 10x 10y 25 0

9. (a) x

2 y 2 4x 5y 0

(b) x

2 y 2 2x 6y 0

10. (a) x

2 y 2 6x 7 0

(b) x

2 y 2 10x 4y 4 0

11. x

2 y 2 8x 16y 64 0

12. (a) x

2 y 2 8x 6y 0 (b) Centre (4, 3), radius

5

13. (a) P(1, 2), radius 6 (c) x 4y 7 0

14. x

2 y 2 20 0



16. (a) Centre (2, 5), radius

(b) Centre , radius

17. (a) 4x

2 4y 2 24x 4y 63 0

(b) x

2 y 2 8x 6y 2 0

18. (a) x

2 y 2 2x 4y 5 0

(b) x

2 y 2 4x 6y 0

19. (a) x

2 y 2 10x 2y 6 0

(b) x

2 y 2 3x 4y 1 0

20. (a) x

2 y 2 8x 8y 16 0

(b) 7x

2 7y 2 7x 37y 84 0

21. (a) x

2 y 2 6x 2y 6 0

(b) x

2 y 2 8x 4y 4 0

22. x

2 y 2 8x 4y 18 0, x

2 y 2 4x 4y 6 0

23. x

2 y 2 20x 30 0

24. (a) 2x

2 2y 2 61x 23y 0

(b) Centre , radius

(c) No

25. (a) 3x 2y 5 0 (b) (7, 0)

(c)

26. (a) 7


27. (a) x

2 y 2 2x 10y 1 0

(b) Yes, centre (1, 5), radius 5

28. (a) 3x

2 3y 2 14x 12y 39 0

(b) No

29. (a) Centre (3, 4), radius

(b) Centre , radius

30. (a) 4x

2 4y 2 16x 4y 47 0

(b) 36x

2 36y 2 24x 60y 43 0

31. (a) x

2 y 2 2x 6y 103 0

(b) 4x

2 4y 2 24x 32y 1 0

32. (a) x

2 y 2 2x y 41 0

(b) 6x

2 6y 2 39x 62y 157 0

33. (a) x

2 y 2 6x 4y 0

(b) x

2 y 2 8x 8y 16 0

34. (a) x

2 y 2 8x 6y 0 (b) (0, 0), (8, 0)

35. 2

36. (a) (b)

37. x

2 y 2 2x 2y 24 0

38. (a) C1: centre , radius ;

C2: centre , radius

(b) 5x 2y 5 0 (c) No

39. (a) x

2 y 2 14x 6y 4 0

(b) Yes, centre (7, 3), radius

40. (a) C1: centre (2, 1), radius 3;

C2: centre (2, 7), radius 5

(b) (i) Centre (2, 4), radius 8

(ii) x

2 y 2 4x 8y 44 0

41. (a) (p, q)

(b) (i) r

2 p

2 q

2 (ii) r

2 a

2 b

2

Chapter Test

1. (b) Circumcentre

2. (2, 3)

3. Slope , y-intercept 2

4. x 2y 8 0

5. 8x 3y 1 0

6. (a) 3, 2 (b) x

2 y 2 6x 2y 6 0

7. (a) (b) 4x 5y 19 0

(c) x-intercept , y-intercept

8. (a) A(2, 1), radius

(c) x

2 y 2 3x 5y 6 0

9. A 10. C

11. B 12. B

13. C 14. B

15. C 16. C

17. D 18. D


4. (a) 8 (b) 43

5. (a) 53 (b) 17

6. (a) 0 (b)

7. (a) Parallel lines (b) Parallel lines

Build-up Exercise

Exercise 11A

1. x 13 2. x 5

3. x 15 4. x 17

5. x 16 6. x 1

7. 8.

9. 10. x 1

11. x 1 12. x 16

13. 5, 7 14. 154 cm

15. 16.

17. 18.

19. x 8 20. x 12

21. x 7 22. All real numbers

23. 24. x 29

25. 8, 10

26. (a) x, x 6, x 12 (b) 324, 330, 336

27. (a) x 22, x 11, x (b) 341, 352, 363

28. 594 cm2 29.

30. 31. x 20

32. x 39 33. x 1

34. 35.

36.

37. (a) x 18, x 12, x 6, x

(b) 36, 42, 48, 54

38. 26

39. 576 cm2

40. 6.5 hours or above

41. 88

42. Package A: 9 packs, package B: 6 packs

Exercise 11B

1. x 3 2. 2 x 4

3. No solution 4. x 4

5. x 1 6. 4 x 6

7. 8.

9. 1 x 2 10. No solution

11. 12.

13. x 3 14. 1 x 4

15. No solution 16. 3 x 3

17. x 3 18. x 1

19. 1 x 1 20. 1 x 0

21. 22.

23. 24.

25. 5 x 0 26. x 2

27. 6 x 27 28.

29. No solution 30.

31. x 1 32. No solution

33. 34. x 2

35. 17 x 4 36. x 28

37. x 2 38. 1 x 38

39. 2 x 2 40.

41. x 4 42. x 4

43. 44. No solution

45. No solution 46.

47. 48.

49. x 9 50. x 24

51. No solution 52.

53. No solution 54.

55. 56.

57. 2 x 5 58. 28 x 2

59. (a) (b) 1, 2, 3, 4

60. (a) (3x 4) (x 4) 30 2x,

(30 2x) (x 4) 3x 4,

(3x 4) (30 2x) x 4

(b)

Exercise 11C

13.

26. (a)

(b)

38. (a)

(b)

(c)

39. (a) x 3y 0, x y 0, x y 4, x 6, y 4

(b)

Exercise 11D

1. (a) x y 40 (b) 2x 5y 150

2. (a) 3x 5y 200 (b) x y 50

3.

4.

5.

6.

7. (a)

8. (a)

9. (a) x y 100 (b) 4x 7y 500

10.

11.

12.

13. (a)

14. (a)

15. (a)

16. (a)

17.

18.

19. (a)

20. (a)

21. (a)

22. (a)

23. (a)

24. (a)

Exercise 11E

1. Max. 10, min. 6

2. Max. 25, min. 8

3. Max. 1, min. 11

4. Max. 8, min. 0

5. Max. 19, min. 2

6. Max. 18, min. 6

7. Max. 21, min. 5

8. Max. 22, min. 12

9. Max. , min. 11

10. Max. 7, min. 0

11. Max. 15, min. 29

12. Max. 9, min.

13. 15 private cars and 5 motor cycles

14. (b) (i)

(ii) $720

15. (a) (i) x y 60 (ii) x 3y

(iii) 40x 80y 6 000

(c) x 90, y 30

16. (a)

(c) 175 units on production line A,

10 units on production line B

17. (a)

(c) W $(700x 2 000y)

(d) $16 300; 9 part-time staff and 5 full-time staff

18. Max. 6, min. 18

19. Max. 17, min. 17

20. Max. 35, min. 5

21. Max. 10, min. 2

22. Max. 3, min. 2

23. Max. 15, min. 0

24. Max. , min. 2

25. Max. 26, min. 34

26. Max. 2, min. 8

27. Max. 4, min. 10

28. (a) (i) (ii) x y 24

(iii) (iv)

(b) $4 680

29. (a) (i) (ii)

(c) P $(18x 11y)

(d) 15 boxes of set lunch A, 20 boxes of set lunch B

30. $435

31. Machine A: 9 hours, machine B: 6 hours; $228

32. (a)

(c) P $(275x 50y)

(d) 70 sheep

33. (a)

(c) 5 container A and 8 container B; $19 500

34. (b) Max. 10.4, min. 4

(c) Max. 9.2, min. 2.5

35. Max. 11, min. 15

36. Max. 33, min. 63

37. Max. 27, min. 6

38. Max. 23, min. 6

39. Max. 13, min.

40. Max. , min.

41. Max. 52, min. 12

42. Max. 10, min. 14

43. (a)

(c) 4 robots Adams and 18 robots Eva; $530

44. (a)

(c) 4 physics past papers and 1 chemistry past paper.

45. (a)

(c) 40 kg of mixture A and 250 kg of mixture B

46. (a)

(b)

(c) (i) Max. : D, min. : A

(ii) Max. , min.

(d) Max. 5, min. 7

47. (b) Max. , min. 15

(c) Max. , min. 15

(d) Max. , min.

48. (a)

(c) (i) 10 packs of set A and 5 packs of set B; fish-

ball

(ii) $280

(d) 8 packs of set A and 8 packs of set B; $20

49. (a)

(c) 5 hours on gardening and 5 hours on house

cleaning

(d) 4 hours on gardening and 4 hours on house

cleaning

50. (a)

(c) 7 service hours and 9 service hours; $3 000 000

(d) 12 service hours and 4 service hours; $3 600 000

51. (a) (i) 30 x y

(ii) Walter : 20 x, Lily : 45 y, Fiona : x y 5

(iii)

(c) From factory A: Walter: 0, Lily: 5, Fiona: 25;

From factory B: Walter: 20, Lily: 40, Fiona: 0

Chapter Test

1. 4, 3, 2

2.

3.

4.

6. Max. 17, min. 6

7. (a) 10x y 36 0, x 4y 12 0, 8x 7y 18 0

(b) Max. 22, min. 28

(c) Max. 22, min.

8. (a)

(c) Economy class: 72, business class: 36

9. D 10. D

11. B 12. B

13. B 14. C

15. A 16. D

17. A 18. C


1. (a) 5 (b)

2. (a) 5.8 (b) x 11.3, y 12.8

3. (a) 2 (b) x

4. (a) 17.5, 162.5 (b) 137.7

5. (a) cos 80 (b) sin 58

6. (a) (b)

Build-up Exercise

Exercise 12A

1. b 9.9, A 45, C 45

2. b 2.9, c 4.1, C 55

3. (a) 6.5 cm

(b) AD 18.9 cm, CD 9.5 cm

4. (a) 16.0 cm (b) 43.3

5. (a) 66.4 (b) 6.5 cm

6. 6 cm2

7. 14.3 cm2

8. 5.9 cm2

9. 67.7 cm2

10. 41.8

11. 16

12. 245.1 cm2

13. 16.4 cm2

14. 9.8 cm2

15. (a) ADB 30, ADC 60

(b)

(c) 26.0

16. (a) 46.0 cm2 (b) 6.1 cm

(c) x 11.6 cm, B 31.9

17. c 15.0, A 33.7, C 56.3

18. b 13.1, c 8.4, C 40

19. (a) DAB 45, BDC 60

(b) 7.1 cm (c) 19.3 cm

20. (a) 3.9 cm (b) 31.1

21. 20.8 cm2

22. 17.8 cm2

23. 107.2 cm2

24. 65.4

25. 7.6

26. 2.6 cm2

27. 34.6 cm2

28. 102.8 cm2

29. 122.7 cm2

30. (a) 20.6 cm

(b) CBD 60.9, ABD 41.1

(c) 184.7 cm2

31. (a) 63.2 cm2 (b) 7.4 cm

(c) b 12.7 cm, A 96.2, C 35.8

32. (a) 104.2 cm2 (b) 39.0 cm2

33. c 11.6, A 15.3, C 74.7

34. a 3.2, c 5.1, B 50

35. (a) 68.8 cm (b) 35.0

36. 40.2 cm2

37. 56.9 cm2

38. 20.3, 69.7

39. 14.6

40. 22.5 cm2

41. 74.5 cm2

42. (a) (b)

(c) 21.6 cm

43. (a) 16.6 cm (b) 28.0 cm2

45. (a) 25.5 cm2 (b) 6.9 cm

(c) 51.4 cm2

46. (a) 60 (b) 27.7 cm2

(c) 166.3 cm2

47. (a) COD 4 180 (b) 72

(c) 17.0 cm2

Exercise 12B

1. 4.9

2. 3.5

3. 40.1

4. 41.0

5. 69.4, 110.6

6. B 66.4, C 83.6, c 11.9 cm

7. C 10, b 6.0 cm, c 1.4 cm

8. A 60, a 11.3 cm, c 12.3 cm

9. A 55.5, C 54.5, a 13.2 cm

10. No solution

11. No solution

12. A 59.0, C 81.0, c 9.2 cm;

A 121.0, C 19.0, c 3.0 cm

13. (a) 8.6 cm (b) 4.4 cm

14. (a) A 90, B 45, C 45

(b)

15. 8.8

16. 24.2

17. A 59.4, B 85.6, b 7.0 cm

18. C 58, a 7.2 cm, c 6.2 cm

19. A 10.7, B 49.3, a 3.4 cm

20. A 33.0, B 102.0, b 18.0 cm

21. B 84.8, C 45.2, c 9.3 cm;

B 95.2, C 34.8, c 7.4 cm

22. No solution

23. A 16.4, C 18.6, a 4.4 cm

24. b 45, c 45

25. (a) 4.5 cm (b) 4.6 cm

26. (a) BAC 40, ABC 40, ACB 100

(b) 7.7 cm (c) 50.6 cm2

27. (a) 48 (b) 82.2

(c) 82.4 cm2

28. (a) ACD 20.9, ADC 119.1

(b) 19.7 cm2 (c) 7.2 cm

29. 9.3

30. 25.7

31. B 75, a 12.4 cm, c 10.1 cm

32. A 45.7, B 34.3, a 12.6 cm

33. A 93.6, C 56.4, a 24.0 cm;

A 26.4, C 123.6, a 10.7 cm

34. B 56.7, C 76.3, c 9.3 cm;

B 123.3, C 9.7, c 1.6 cm

35. B 30.0, C 10.0, c 2.4 cm

36. No solution

37. (a) 46 (b) 9.6 cm

(c) 53.1 cm2

38. (a) 18.3 cm (b) 181.5 cm2

39. (a) 64.9 (b) 10.6 cm

40. 12 cm

41. (a) 8.2 cm (b) 58.8 cm2

42. (a) AB 12.4 cm, BD 12.4 cm

(b) 112.0 cm2

Exercise 12C

1. 9.2 2. 11.2

3. 23.6 4. 44.4

5. 108.2 6. 35.7

7. a 7, B 38.2, C 81.8

8. A 27.3, C 102.7, b 13.3

9. A 10.9, B 22.1, c 8.7

10. A 94.1, B 46.5, C 39.4

11. No solution

12. A 125.6, B 18.4, C 36.0

13. AC 13.9 cm, AD 8.1 cm

14. (a) BDC 23.6, BCD 124.4

(b) BD 8.2 cm, AB 6.9 cm

(c) 33.1 cm2

15. (a) 5.4 cm

(b) AD 4.0 cm, DAB 94.3

(c) 10.9 cm2

16. 4.4

17. 20.4

18. 125.5

19. 37.4

20. (a) 128.7 (b) 10.9 cm2

21. B 9.4, C 157.6, a 8.3

22. A 35.2, C 59.8, b 24.2

23. A 34.1, B 105.9, c 8.0

24. A 44.4, B 34.0, C 101.5

25. No solution

26.

27. AC 11.3 cm, AD 6.5 cm

28. (a) 16.9 cm (b) 10.9 cm

29. (a) 27.8 (b) 21.3

30. (a) A 78.5, B 57.1, C 44.4

(b) a 49 cm, b 42 cm, c 35 cm

(c) 720.1 cm2

31. 7.9

32. 51.6

33. 86.3

34. 29.6

35. A 45.4, B 94.6, c 10.1

36. A 42.3, B 39.3, C 98.5

37. A 122.8, B 22.4, C 34.8

38. (a) 77.4 (b) 15.6 cm2

39. (a) AED 108, CAD 36

(b) 25.9 cm (c) 440.4 cm2

40. 18.2

41. (a) 9.0 cm (b) 58.8

42. (a) 7 : 4 : 5 (b)

43. (a) 112.0 (b) 68.0

(c) 28.6

44. (a) 162.2 (b) 17.8

(c) AC 4.3 cm, BD 27.7 cm

45. (a) AOB 120, BOC 160, COA 80

(b) 5.8 cm (c) 36.5 cm2

Exercise 12D

1. 21.3 cm2

2. 9.9 cm2

3. 31.2

4. 9.8

5. 49.2

6. 72.3

7. 1.5

8. (a) a 16 cm, b 24 cm, c 16 cm

(b) 127.0 cm2 (c) 190.5 cm2

9. 106.7 cm2

10. 48.0 cm2

11. 19.9

12. 18.6

13. 8.9

14. (a) a 12 cm, b 21 cm, c 27 cm

(b) 120.7 cm2

15. (a) 7.2 cm (b) 9.4 cm

(c) 28.7 cm2

16. 10

17. 62.5

18. 64.4

19. 52.4

20. 2.8

21. (a) 15.5 cm (b) 30 cm2

(c) 106.5 cm2

22. (a) a 20 cm, b 16 cm, c 16 cm

(b) 124.9 cm2 (c) 83.3 cm2

23. (a) 8.8 (b) 36.7 cm2

(c) 60.6 cm2

24. (a) 2x cm (b) 2

(c) 48 cm

25. 5

Exercise 12E

1. (a) 015 (b) 143

2. (a) N20E (b) S75W

3. 310 4. S73E

5. S45E 6. 130, x 16.3

7. 19.5 8. 25, y 8.5

9. (a) 63 (b) 46.7

(c) 86.6 m

10. (a) (b)

(c) 112.8

11. 128

12. S23E

13. 065

14. S80E

15. N35W

16. 119.7

17. 27, y 10.0

18. (a) 25 (b) 2.0 km

(c) 1.4 km

19. (a) (b) 600.1 m

(c) 385.7

20. (a) 124 (b) 38.1 m

(c) 16.8 m

21. S36E

22. 306

23. 7.1

24. 7.7

25. 256.8

26. 85, y 48.8

27. (a) 58 (b) 89.2 m

(c) 57.3 m

28. (a) 154.5 m

(b) DAB 65, ABD 40

(c) 109.6

29. 5.1 m

30. (a) 054.7 (b) 0.2 ms1

Exercise 12F

1. (a) BF (b) AE

(c) GE

2. (a) (i) HBG (ii) AEB

(iii)ABH

(b) ABH

3. (a) (i) HBG, EAF (ii) HBC, EAD

(iii)FBA, ECD (iv) FBG, ECH

(b) ABCD, ABGF, CDEH, EFGH, ABHE

4. 90

5. 31.1

6. 43.2

7. 40.9

8. 38.3

9. 43.2

10. (a) 4.95 cm (b) 63.7

11. (a) 201 m (b) 313 m

(c) 9.58

12. (a) 34.9 (b) 53.1

(c) 57.0

13. (a) 8.60 (b) 17.4 cm

(c) 106 cm2

14. 50.2

15. 26.6

16. 61.6

17. 63.4

18. 22.6

19. (a) MN 8.85 cm, MH 12.3 cm, NH 9.85 cm

(b) 81.8

20. (a) 90 (b) 51.1

(c) 60.3

21. (a) 33.0 (b) 81.9

22. (a) 30.0 m (b) 26.5 m

(c) 30.0 m

23. (a) 21.8 (b) 15.8

(c) 10.1

24. (a)

(b) 480 m

(c) HC 316 m, HD 471 m, ED 346 m

(d) 985 m

25. (a) 4.28 m (b) 33.1 m2

26. (a) 1.03 km (b) 1.78 km

(c) 1.32 km2

27. 30.6

28. 75.3

29. (a) MN 13.5 cm, NC 10 cm, MC 16.8 cm

(b) 53.4

30. (a) 15.8 cm (b) 71.6

(c) 18.4 (d) 78.7

(e) 22.6

31. (a) 20.3 cm (b) 58.0

(c) 58.0

32. 70.5

33. (a) 3.03 m (b) 58.7

(c) 14.0

34. (a) 2.92 m (b) 1.03 m

(c) 20.3

35. (a) DBA 35, BDA 93

(b) 27.6 m (c) 59.1 m

36. (a) 16.5 cm (b) 26.2 cm

(c) 39.1 (d) 9.18 cm

(e) 50.7

37. (a)

(b) 222 (c) N83.6E

38. (a) 22.3 (b) 13.2 cm

(c) 57.9

39. (a) 322 m (b) 388 m

(c) 083.1

40. (a) AC 3.06 m, BC 2.57 m

(b) 3.14 m (c) 45

Chapter Test

1. 48.0

2. 4.3 cm

3. 12.9

4. 30.1, y 10.2 cm

5. B 46.3, C 83.7, a 8.5 cm

6. (a) 32.0 cm (b) 274.1 cm2

7. (a) 24.8 km (b) 43.0

(c) 223.0 (d) 101.5 km2

8. (a) DH 10 cm, DB 6.7 cm, BH 8.5 cm

(b) 28.3 cm2 (c) 71.5

9. B 10. B

11. B 12. C

13. B 14. A

15. D 16. C

17. D 18. D

Open-Ended Question Zone

Exercise 7

1. 420, 300

2. a 2, b 1; a 4, b 2

3. ABC 40, BAC 50, ACB 90;

DEF 140, EDF 10, DFE 30

4. 45, 225, 405, 585

5. 90, 270

6.

7. a 2, b 0; a 2, b 4

8. y 3 sin (x 30)

9.

10. w 30, x 210, y 150, z 330

Exercise 8

3. Yes

4.

5. No

6. x 2, y 1.125; x 1, y 0

7. No

8. 2 pieces of chocolate, 80 sit-ups

Exercise 9

1. AB DC

3. a 3, b 3; a 4.5, b 4.5

4. OE CD

5. x 90, y 35, z 55

7. BAE CDE (A.S.A),

EBC ~ EAD (equiangular)

Exercise 10

1. (0, 3), (2, )

3. x 3y 0, x 3y 4 0

4. 2x y 0, 2x y 7 0

5. a 8, b 0, c 5, d 3

6. x y 1 0, x y 2 0, x y 2 0

7.

8. y 2x, y 2, y 3x 1

11. (2, 2), (2, 1); 3x 4y 2 0

Exercise 11

2. a 3, b 1; a 2, b 3

3. 2x 1 4; 2x 11 6

4.

5. a 1, b 1, c 5; a 0, b 1, c 6

6.

8. (b) 6 balls

9. a 1, b 1

10.

11. 13 cm, 15 cm; 5 cm BC 25 cm

Exercise 12

3. a 10, b 8.2, c 11.2; a 16, b 13.1, c 17.8

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第1章：有向數 - Browser Expressdata.pakkau.edu.hk/~fankawing/Maths_S… · Web view · 2005-02-22... 5x ( 2y ( 5 ( 0 (c) No. 39. (a) x 2 ( y 2 ( 14x ( 6y ( 4 ( 0 (b) Yes,