ปลายภาค ม.2

33
อสอบปลายป คณ ตศาสตร  ม.2 ภาคเร ยนท   1 ฉบ บท   1 ตอนท   1 ปรน าช  !"# "#เล$ %าตอบท  & %#( #อเ)* 1. นม +# , % - # ราคา 2/2 บาท ตราส0 *นขอ#" าน*นนม+#เปน% -ปอ#0 อราคา เปนบาทเท0 % บข ) 1. 1345 2. ,345 ,. 2/23, 5. ,32/2 2. --#!+นท   1 6นตเมตร !ทนร--ทา#"# 2/ %  7ลเมตร ตราส0 *นขอ#--ทา# "#เปนเมตรต0 อร--ทา#!+นท  เป นเ6นต เมตรเท0 % บข ) 1. 132/ 2. 2/31 ,. 132/8999 5. 2/899931 ,. %+สม ;%;< าส) ,9 %  7%มต อม ลส *  / %  7%รม ตราส0 *นอย # าขอ#   ; %ลส * 0 อน  า ;%;< าส)เท0 % บขอ) 1. /3,9 2. ,93/ ,. 13= 5. =31

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3

.2 1 1

1

1. 3 252

1.1:84

2.3:84

3.252:3

4.3:252

2. 1 25

1.1:25

2.25:1

3.1:25,000

4.25,000:1

3. 30 5

1.5:30

2.30:5

3.1:6

4.6:1

4.

1.3:5 36:50

2.4:9 60:135

3.12:15 48:75

4.8:14 72:1125.

= a

1.72

2.84

3.96

4.1086. = x

1.

2 .

3.

4.

7. 3:1

27

1.156

2.188

3.216

4.235

8. 7:3

168

1.36

2.48

3.60

4.72

9.

1.36%

2.50%

3.75%

4. 84%

10.32% 125

1.28

2.40

3.62

4. 96

11. 3,800 7%

20%

1.2,256

2.2,328

3.2,494

4.2,774

12. 30%

3,450

1.10,500

2.11,500

3.12,450

4.12,875

13. 500 80%

18%

1.160

2.164

3.168

4.172

14. 1,250 3

1.2.50

2.2.75

3.3.25

4. 3.75

15. 2.5

1.2,250

2.3,600

3.4,400

4. 4,750

16. 5 3 60

1.1,540

2.1,820

3.2,360

4.2,880

17. 10,000

1.15

2.20

3.25

4.30

18. 20

6

1.16

2.18

3.24

4.36

19. 20 14

1.70

2.150

3.240

4. 280

20.

225

1.15

2.20

3.25

4. 30

21. 16

24

1.4,800

2.5,520

3.5,760

4.6,144

22. 18 35 1.5

4 100

1.28,600

2.35,200

3.37,800

4.44,500

23. 26 54 30

3.25 4.5

15

1.1,160

2.1,450

3.1,880

4.1,920

24. 2,400

150

1.12

2.14

3.15

4. 16

25. 4 2

3

1.80

2.85

3.110

4. 115

26. 3 2

1.16

2.18

3.20

4.24

27.

1.

2.

3.

4.

28-34

28.

1. 6

2.

3.

4. 6

29.

1.6%

2.8%

310%

4.12%

30.

1.8%

2.14%

3.18%

4. 60%

31. 6

1.20 %

2.40%

3.60%

4.80%

1. 6

2. 6 18%

3.

4. 6

33. 30,500

6

1.4,820

2.5,250

3.5,490

4. 6,240

34. 6

1.1.25

2.2.25

3.2.50

4.3.50

35.

1.

2.

3.

4. 2 3

36.

1.

2.

3.

4.

37.

1.

2.

3.

4.

38.

ABCD A' B' C' D'

1. AB' A'B

2. CC' DD'

3. BB' DC'

4. BD' B'D

39. 38

1. B C'

2. D A'

3. A A'

4. C B'

40. 38

1.

2.AD A' D'

3.BC B' C'

4. ABCD A' B' C' D'

41.

1.

2.

3.

4.

42.

1.

2.

3.

4.

43.

1.

2.

3.

4. 1 2

44

1.

2.

3.

4. 1 2

45

1.

2.

3.

4.

46. ABCD o

90

1.

2.

3.

4.

47. 46 ABCD O

90

1. 1

2. 2

3. 3

4. 4

48. (2,4) X

1.(-4,2)

2.(-2,-4)

3.(2,-4)

4.(-2,4)

49. (5,-3) X

1.(5,3)

2.(-5,-3)

3.(3,5)

4.(-5,3)

50. (-6,-8) Y

1.(6,8)

2.(-8,-6)

3.(6,-8)

4.(-6,8)

51. (-1,4) Y

1.(1,4)

2.(-1,-4)

3.(-4,-1)

4.(1,-4)

52-57

52. A 3

1. X 8 Y 5

2. X 4 Y 3

3. X 8 Y 5

4. X 4 Y 6

53. A (-2,-6) A

1. X 7 Y 5

2. X 6 Y 8

3. X 5 Y 7

4. X 8 Y 6

54. A A

1. X 3 Y 1

2. X 3 Y 1

3. X 1 Y 3

4. X 1 Y 3

55. A X 4 Y 8

A

1.(0,0)

2.(5,7)

3.(-1,-7)

4.(-6,-7)

56. A X 2 Y 2

A

1.(1,3)

2.(1,7)

3.(5,7)

4.(5,3)

57. Y = 3 A

1.(-7,1)

2.(3,-7)

3.(3,7)

4.(7,1)

58.

1.

2.

3.

4.

59.

1.

2.

3.

4.

60. A

1.

2.

3.

4.

61.

1.

2.

3.

4.

62. AC // BF DE= EF

1. CDE BEF

2. ACE BCD

3. ADG BEG

4. ABE ACE

63.

1.

2.

3.

4.

64.

1.

2.

3.

4.

65. DEF PRS

1. =

2. =

3.DF = PS

4.EF = PR

66.

1.

2.

3.

4.

67. XYZ PQR

1. X R

2. Z Q

3. Y Q

4. Z P

68. A N B R C S

1. ABC RSN

2. ABC NSR

3. ABC NRS

4. BAC RSN

69.

1. 2

2. 2

3. 2

4. 2

N W

70.

M O V U

MNO VWU

1.--

2.--

3.--

4. --

71. A C

D

ABC ADC

1.--

2.--

3.--

4. --

72.

ABCD = ADP

ABQ

1.--

2.--

3.--

4. --

73-75

PM = QN =

73. PMQ QNP

1.--

2.--

3.--

4. --

74.

1.PM PQ

2.PQ PO

3.MQ NP

4. NQ PO

75.

1.PM = NP

2.

=

3. MQ NQ

4. MQP NPQ

76-78

PQ = PR QD = DR

76. PQD PRD

1.--

2.--

3.--

4. --

77. = 75

1.15

2.45

3.75

4. 90

78.

1. QD DR

2. QPD RPD

3. PD QPR

4. PQR

79.

1. 2

2. 2

3. 2 4

4. 2

80. JKL STU

1. =

2. JK = ST

3. =

4. JKL STU

2

1. 8 : 3

120

_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

2. 48,200 25%

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

1

1.4

2.43.34.25.3

6.3

7.38.49.310.2

11.4

12.213.214.415.3

16.3

17318.319.120.1

21.4

22.323.424.425.4

26.4

27.228.429.130.2

31.3

32.233.334.235.4

36.3

37.138.239.340.4

41.2

42.243.144.245.3

46.1

47.248.349.150.3

51.1

52.453.354.255.3

56.4

57.258.159.360.1

61.4

62.156.264.165.3

66.1

67.368.369.470.1

71.3

72.273.274.375.4

76.1

77.378.479.180.3

2

1. X 120 8 : 3 5: 3

=

120 3 = x 5

x =

x = 72

72

2. x

48,200

25% =

=

48,200 100 = x 25

x =

x =192,800

192,800

, 6

18%

8%

14%

6

60%

1

2

3

4

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