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1  sur  8
O-net
y = f(x)
1. f (x) =

2. f (x) =

3 f (x)

4 f (x)

-

V-Shape

(

V)

-

U-Shape (

U)
f(x) =

f (x) =
2

O-net

1. 1300

2. 1350

3. 1400

4. 1450
k

,3,5,…,49
k

, , ,…,

+1
3

,
9( 57)
9
100

10,000

9
9

108,

117, 126, ..., 9,999
a1 = 108, an = 9,999

117 – 108 = 9

an = a1+ (n – 1)d
9,999 = 108 + (n – 1)9
9,891 = (n – 1)9
1,099 = n – 1
n = 1,100
1,100
10,000

4

9

100
“ONET”
( 57)

4.

“ONET”
5 (

O-NET

2549, 2
3

100
10

310
1.

24

4.

2.

25

3.

26

27
a1 =100

d = +10
n
an = 310
a1

an =100 + (n −1)10

310 =100 + (n −1)10

3
3 + 22 = 25

a22

n = 22

24
3

1

1. 21000 < 3600 <10300

2. 3600 < 21000 <10300

3. 3600 <10300 < 21000

4. 10300 < 21000 < 3600
21000

log21000 =1000log2 =1000(0.301) =

301
3600

log3600 = 600log3 = 600(0.48)
300

10300

log10300 = 300log10 = 300(1.00) =

300
3600 <10300 < 21000

U
A
B

x
B

A
3
2

3
∴

4
6
5
=

∴

6

7

12+35 = 47

100
6

∴
= 0.47
0.47

10. (

O-NET
A = { a, b, c }

2549, 2

)

B = { 0, 1 }
B

A

1. { (a,1), (b,0), (c,1) } 2. { (0,b), (1,a), (1,c) }
3. { (b,1), (c,0) }
(

4. { (0,c), (1,b) }

)
B

A

B
A…

1

3

…
4

11. (

O-NET

2549, 2

)

A – B = { 2, 4, 6 }, B – A = { 0, 1, 3 }
A ∪ B = { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
A ∩B
1. { 0, 1, 4, 5, 6, 7 }

2. { 1, 2, 4, 5, 6, 8 }

3. { 0, 1, 3, 5, 7, 8 }

4. { 0, 2, 4, 5, 6, 8 }

(

)

A ∩ B = (A ∪ B) – (A – B) – (B – A) …
A ∩ B = { 5, 7, 8 }
3

3

2

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โอเน็ตวิชาคณิตศาสตร์ 602

  • 1. O-net y = f(x) 1. f (x) = 2. f (x) = 3 f (x) 4 f (x) - V-Shape ( V) - U-Shape ( U) f(x) = f (x) = 2 O-net 1. 1300 2. 1350 3. 1400 4. 1450 k ,3,5,…,49 k , , ,…, +1
  • 2. 3 , 9( 57) 9 100 10,000 9 9 108, 117, 126, ..., 9,999 a1 = 108, an = 9,999 117 – 108 = 9 an = a1+ (n – 1)d 9,999 = 108 + (n – 1)9 9,891 = (n – 1)9 1,099 = n – 1 n = 1,100 1,100 10,000 4 9 100
  • 4. 5 ( O-NET 2549, 2 3 100 10 310 1. 24 4. 2. 25 3. 26 27 a1 =100 d = +10 n an = 310 a1 an =100 + (n −1)10 310 =100 + (n −1)10 3 3 + 22 = 25 a22 n = 22 24 3 1 1. 21000 < 3600 <10300 2. 3600 < 21000 <10300 3. 3600 <10300 < 21000 4. 10300 < 21000 < 3600
  • 5. 21000 log21000 =1000log2 =1000(0.301) = 301 3600 log3600 = 600log3 = 600(0.48) 300 10300 log10300 = 300log10 = 300(1.00) = 300 3600 <10300 < 21000 U
  • 7. = ∴ 6 7 12+35 = 47 100 6 ∴ = 0.47 0.47 10. ( O-NET A = { a, b, c } 2549, 2 ) B = { 0, 1 } B A 1. { (a,1), (b,0), (c,1) } 2. { (0,b), (1,a), (1,c) }
  • 8. 3. { (b,1), (c,0) } ( 4. { (0,c), (1,b) } ) B A B A… 1 3 … 4 11. ( O-NET 2549, 2 ) A – B = { 2, 4, 6 }, B – A = { 0, 1, 3 } A ∪ B = { 0, 1, 2, 3, 4, 5, 6, 7, 8 } A ∩B 1. { 0, 1, 4, 5, 6, 7 } 2. { 1, 2, 4, 5, 6, 8 } 3. { 0, 1, 3, 5, 7, 8 } 4. { 0, 2, 4, 5, 6, 8 } ( ) A ∩ B = (A ∪ B) – (A – B) – (B – A) … A ∩ B = { 5, 7, 8 } 3 3 2