m1- (7)

15
ขขขขขขขขขขขขข ขขขขขขขขขข ข.1 ขขขขขขขขขขข 1 ขขขขขขข 1 ขขขขขขขขข ขขขขขขขขขขขขขขขขขขขขขขขขขขขขขขขขขขขข 1. ขขขขขขขขขขขขขขขขขขขข 1 1, 3, 5, 7 2 5, 13, 29, 31 3 3, 17, 21,37 4 7, 19, 27, 39 2. ขขขขขขขขขขขข 60 ขขข 3 ขขขขขขขขขขขขขขขขขขขข ขขขขขข 1 6 2 8 3 10 4 11 3. ขขขขขขขขขขขขขขขขขขข 20 ขขขขขขขข 1 1, 3, 4, 5, 10, 12 2 1, 2, 4, 5, 10 , 20 3 1, 2, 4, 5, 8, 10, 20 4 1, 2, 4, 5 , 6, 10, 20 4. ขขขขขขขขขขขขขขขขขข ขขขขขข 17 ขขข 21 ขขขข ขขขขขขขข 1 ขขขขขขข ขขข ขขขขขขขข 1 4 2 8 3 10 4 20 5. ข.ข.ข. ขขข 38 ขขข 95 ขขขขขขขขขขข 1 17 2 19 3 23 4 29 6. ข.ข.ข. ขขข 20, 24 ขขข 48 ขขขขขขขขขขขขขข ข.ข.ข. 1 60 ขขขข 2 30 ขขขข 3 ขขขข 4 ขขขข 7. ขขขขขขขขขขขขขขขข ขขขขขขขขขขขขขขขขขขขขขข ขขขขขขข 32 ขขข 80 ขข ขขขขขขขข 1 ขขขขขขข ขขข ขขขขขขข 3 ขขขขขขขขขข ขขขขขข 1 0 2 1

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Math M1

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.1 1 1

1.

11, 3, 5, 7

25, 13, 29, 31

33, 17, 21,37

47, 19, 27, 39

2. 60 3

16

28

310

411

3. 20

11, 3, 4, 5, 10, 12

21, 2, 4, 5, 10 , 20

31, 2, 4, 5, 8, 10, 20

41, 2, 4, 5 , 6, 10, 20

4. 17 21 1

14

28

310

420

5. ... 38 95

117

219

323

429

6. ... 20, 24 48 ...

160

230

3

4

7. 32 80 1 3

10

21

32

43

8. 32 40

1158

2160

3162

4164

9. a = 9

1a 4 = 13

2a 4 = 13

3a (2 = 18

4a (2 = 1010. 2 + ( 2)

10

22

34

410

11.

13 + (m + n) = 3m + 3n

23(m + n) = 3m + 3n

33 + (m n) = 3n + 3m

43 + (m n) = 3m + 3n

12. (( 15) ( 13))( 3)

14

2 4

36

4 6

13. a = 7, b = 1 c = 2 2a b + 3c

119

29

3 19

4 9

14. x = 2a + 1 a = 1 x

1x = 1

2x = a

3x = a

4x = 0

15. a = 3, b = 2, c= 5, d = 5 [3c(a b)] ( d

19

2 9

315

4 15

16. ( ) 5

1 5

2 5

3 3 5

4 3 517. () 3

1a b 3

2 3

33 a b

43

18.

1a2 = a a

2a2 = a + a

3a2 = 2a

4a2 = a 2

19. 0.013

10.001

20.0001

30.00001

40.000001

20.

1( 5)4 5

2( 3)2 2

3 7 7

4( 2)3 2

21.

1

2

3

4 ++

22. ()2

1

2

3

4+

23. ()4

1

2

3

4

24. 196

122 72

274

3 47

4 (2 + 7)2

25.

1

2 ()2

3

4

26. ay = by

1a = b x = y

2a b x y

3a = b x = y

4a b x y

27. a2 a3

1a

2a5

3a6

4a8

28. (1 + 5)2

112

216

3 24

436

29. 32 = c c

1 3

2 5

3 6

4 9

30. an = 10 (an) 2

110

210

3100

41,000

31. (27)(32)(2)

135

236

3 243

4 486

32. 8 27

136

263

33 26

42 36

33.

16

212

324

423

34.

1222n =

2222n = 22+2n

3222n = 22+n

4222n = 22n

35.

1 10

2 20

3 102

42 52

36.

1 ( -2)6

2 62

3 2(3)4

43( -2)4

37.

133

231

330

4

38.

12a2b4

2 - 2a2b2

3(2ab)2

4 2a2

39. 23( -2)3

122( -2)4

224( -2)2

3 2( -2)5

4( -2)6

40. ( -3)3. 22

1( - 3)5 + 42

2( -2)8 - 108

3( - 6)3 + 108

4 ( - 6)2 - 42

41.

1. 50

2 -

3 -

4

42.

123 , (-2)4, 25, (-2)6

232 , 23 , 34 , 43

324 , (-4)2, 35, 54

442 , (-2)4, (-5)2 , 46

43. 2(2-2)

1

2

3 ()2

42

44. 22 = 4

112

2 27

3 81

4108

45.

1

2

3 ()5

4 ()0

46. a2 + a2

1a2

2a4

32a4

42a2

47. a2 = 3 a4

134

232

3a2

42a

48. (32 - 23) + [53(42 - 24)]

12

222

320

40

49. 608,000

16.08 103

26.08 104

36.08 105

46.08 106

50.

13.68 10-1 = 3.68 10

20.45 10 = 4.5 10-1

374 10 = 7.4 102

4634 10 = 6.34 102

51. 105 + (3.1 104)

13.1 109

23.1 105

31.31 104

41.31 105

52. (2.5 102 )+ (36 10)

138.5 102

26.1 102

338.1 10-1

46.1 10

53. a = 1 10 b = 102 ab

110 102

210 103

31 102

41 103

54.

14.1 10-5

25.6 10-6

36.8 10-7

49.8 10-8

55. 3.14 10-2

12.6 10-4

29 10-3

31.3 10-2

47 10

56.

17.5 106

27.5 104

37.5 102

47.5 10

57. 364.2 102 1100

12.8 102

22.8 103

3 9.4 102

49.4 103

58. 4 20

12 100

22 10-1

32 10-2

4 2 10-3

59. AB

1AD

2AC

3BC

4DB60.

1AO BO

2CO OD

3OA OB

4 BO OD

61. AB m

AB

1AB m

2 A

3 m

4 m 3

62. 61

1 AB m

2 A

3 m

4 A m B

63.

1AD = 2AB

2AE = 2AC

3AE = 2BC

4ADE = 2ABC64.

1OC

2OC OE

3 = 3

4OD

65. AB R

1AB ABC

2CR ABC

3CR ABC

4P ABC

66.

1

2

3

4

67. MON

1210

2225

3285

4300

68.

1AO = AB O AB

2AB CD O O AB

3AB CD O AO = CO

4 AB CD O AO = BO

69. AB

1

2

3

4

70. 60

1

2

3

4

71.

1

2

3

4

72.

1

2

3

4

73.

1

2

3

4

74. 45

1

2

3

4 1 3

75. ABC

1AB = 1 , BC = 3 CA = 4

2AB = 1 , BC = 2 CA = 3

3AB = 2 , BC = 3 CA = 6

4AB = 2 , BC = 5 CA = 6

ABCD AB = CD ABCDPQ = 135

1) A PQ B AB AB m ............................................................( 76)

2) P Q PQ ......................................................................( 77) OP = OQ

3) A M N

4) M N R AR

5) A ........................( 78) AR T B = 135 B

6) T 90

7) DC = PQ

8) ABCD

79.

1

2

3 12

4

80. 5 2

12 5

22 7

35 7

42 3

2

1.

__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

2. ABCD AB CD a c

AD BC b (ABCD )

__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

1

1.211.221.231.241.151.461.271.1

2.112.322.332.242.152.262.472.3

3.213.223.233.343.153.463.473.2

4.114.224.134.344.354.164.3747.4

5.215.325.235.345.355.465.375.4

6.316.126.336.146.456.166.276. PO

7.317.227.237.147.257.467.377. PO O

8.218.128.438.148.358.268.478. PO QO

9.419.429.439.349.359.269.379.3

10.120.430.340.350.360.370.480.3

2

1. = 729 =

=

=

=

= ( )11

2.

a b c

_131851912.unknown

_131920016.unknown

_131923088.unknown

_131991956.unknown

_132042904.unknown

_132045592.unknown

_132046360.unknown

_132117020.unknown

_132117404.unknown

_132116636.unknown

_132045976.unknown

_132044824.unknown

_132045208.unknown

_132043672.unknown

_131992724.unknown

_131993108.unknown

_131992340.unknown

_131990420.unknown

_131991188.unknown

_131991572.unknown

_131990804.unknown

_131989652.unknown

_131990036.unknown

_131923472.unknown

_131921552.unknown

_131922320.unknown

_131922704.unknown

_131921936.unknown

_131920784.unknown

_131921168.unknown

_131920400.unknown

_131883916.unknown

_131885452.unknown

_131886220.unknown

_131886604.unknown

_131885836.unknown

_131884684.unknown

_131885068.unknown

_131884300.unknown

_131853448.unknown

_131883148.unknown

_131883532.unknown

_131853832.unknown

_131852680.unknown

_131853064.unknown

_131852296.unknown

_131812480.unknown

_131836292.unknown

_131850376.unknown

_131851144.unknown

_131851528.unknown

_131850760.unknown

_131837060.unknown

_131837444.unknown

_131836676.unknown

_131834756.unknown

_131835524.unknown

_131835908.unknown

_131835140.unknown

_131833988.unknown

_131834372.unknown

_131812864.unknown

_131809408.unknown

_131810944.unknown

_131811712.unknown

_131812096.unknown

_131811328.unknown

_131810176.unknown

_131810560.unknown

_131809792.unknown

_131721596.unknown

_131722364.unknown

_131722748.unknown

_131721980.unknown

_131720828.unknown

_131721212.unknown

_130222836.unknown