Math E-Book Release 2 - bbt.ac.th · PDF fileคณิตศาสตร o-net / a-net 4 แนวโจทย์ข้อสอบเข้ าฯในปัุบจจัน โจทย์

Math E-Book Release 2.0
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Math E-Book Release 2.0
http://se-ed.net/longdo 2547 Release 2.0 2548
2548 O-NET / A-NET SCIENCE CENTER ()
3/1 . 10200
.. . 0-2225-7160, 0-2221-5884
7-Eleven

O-NET / A-NET 3
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O-NET / A-NET 4
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O-NET / A-NET 6
( O-NET)
1 () 2 ( 2.2 2.5) 3 ( 3.5) 5 ( 5.2 5.5) 7 ( 7.9) 8 ( 8.1) 13 ( 13.1 13.4 ) 16 ( 16.1 16.6) 17 ( 17.5 17.6 )
( A-NET)
2 13 16 ( 16.4) 17

O-NET / A-NET 7
a
1 11 1.1 12 1.2 - 15 1.3 21 2 31 2.1 32 2.2 36 2.3 39 2.4 44 2.5 48 58 3 59 3.1 60 3.2 63 3.3 65 3.4 67 3.5 69 82 4 83 4.1 : 84 4.2 : 86 4.3 : 92 4.4 : 94 4.5 : 96 4.6 : 99 4.7 : 102 5 119 5.1 120

O-NET / A-NET 8
5.2 121 5.3 124 5.4 127 5.5 131 fog 146 6 147 7 157 7.1 158 7.2 160 7.3 162 7.4 165 7.5 166 7.6 169 7.7 171 7.8 172 7.9 173 8 187 8.1 187 8.2 191 8.3 192 8.4 195 () 204 9 205 9.1 206 9.2 208 9.3 211 9.4 215 9.5 216 10 227 10.1 228 10.2 230 10.3 231 10.4 233

O-NET / A-NET 9
10.5 235 10.6 237 10.7 240 : 250 11 251 11.1 252 11.2 254 11.3 256 11.4 259 268 12 269 12.1 270 12.2 272 12.3 274 13 279 13.1 280 13.2 282 13.3 284 13.4 285 14 295 14.1 296 14.2 298 14.3 300 306 15 307 15.1 307 15.2 309 15.3 312 15.4 317 15.5 319 332

O-NET / A-NET 10
16 333 16.1 333 16.2 335 16.3 337 16.4 339 16.5 341 16.6 345 358 17 359 17.1 360 17.2 363 17.3 374 17.4 378 17.5 383 17.6 388 1 (14 ) 403
| 2541 408 | 2542 417 | 2542 426 | 2543 435 | 2543 444 | 2544 453 | 2544 462 | 2545 471 | 2545 481 | 2546 492 | 2546 502 | 2547 512 | 2547 523 | 2548 532
(17 ) () 1 | 2532 2541 541 2 | 2541 2548 572

O-NET / A-NET 11
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(Set) , 7, 360 , (Element Member)
A, B, C
{ } A , B 7, C 360 , D 7, E 3 33 A {= , , , , , , } (comma) B { 2, 1, 0, 1, 2}= B {0, 1, 1, 2, 2}= C {2, 3, 5}= D {2, 3, 5}= C D= (360 2 2 2 3 3 5= ) E {4, 5, 6, 7, ..., 32}= ...

O-NET / A-NET 12
(Finite Set) A n(A) n(A) 7= , n(B) 5= , n(C) 3= , n(E) 29= (Null Set Empty Set) { } n( ) 0 =
(Infinite Set) F 2, G 0 1 F {1, 0, 1, 2, 3, ...}= , n(F) G { | } G { x | 0 x 1}= < < x () 0 x 1< < ()
2 B , 3 C , 0.5 G 2.5 B , 4 C , 0 G
(Relative Universe) U U U { 2, 1, 0, 0.5, 7}= U H { x | x 0 }= > H {0, 0.5, 7}= =U H {0, 1, 2, 3, ...}=
U (R ) H { x | x 0 }= > H { x | x 0 }= >R
1.1
(Subset) B A
B A ( B A B A) B A B A B A B A
A {m, p, r, w}= B B A 16 {m} {p} {r} {w} {m, p} {m, r} {m, w} {p, r} {p, w} {r, w} {m, p, r} {m, p, w} {m, r, w} {p, r, w} {m, p, r, w}
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O-NET / A-NET 13
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x ! 1 2 3 ... x= 7 3
7 7 ! 1 2 3 4 5 6 7 353 4 ! 3 ! 1 2 3 4 1 2 3
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1. A 2. A A 3. n n2 ... ( 42 16= ) 4. (Proper Subset) n2 1 ( ) ( A A A A ) ...
(Power Set) A P (A) A n P (A) n2 A {m, p, r, w}= P(A) {m} {p} {r} {w} {m, p} {m, r} ... {m, p, r, w}= { , , , , , , , , }
. A {a}=
12 2= {a} P (A) { , {a}}=
. B {a, b}= 22 4= , {a} , {b} {a, b} P (B) { , {a}, {b}, {a, b}}=
. C {2, 3, 5}= 32 8= , {2} , {3} , {5} , {2, 3} , {2, 5} , {3, 5} {2, 3, 5} P (C) { , {2}, {3}, {5}, {2, 3}, {2, 5}, {3, 5}, {2, 3, 5}}=
. D = 02 1= P (D) { }=
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O-NET / A-NET 14
E { , {0}, { }}= P (E) , { }, {{0}}, {{ }}, { , {0}}, { , { }}, {{0}, { }}, { , {0}, { }} { }
A, B A {1, 3, 5, 7}= B {1, 2, 3, 4, 5, 6, 7}= . X X P (A)
X P (A) X A X 42 16=
4 4 44 4 1 4 6 4 1 161 40 2 3 + + + + = + + + + =
. X X P (A) n(X) 2< X P (A) X A 16 ( .) n(X) 2< ... 4 44 1 4 6 1110 2 + + = + + =
...
( )
. Y A Y Y B A Y 1, 3, 5, 7 Y ... Y B 2, 4, 6 Y ( 1, 3, 5, 7 Y B ) ... 2, 4, 6 Y {2, 4, 6} 32 8=
1.1 (1) A, B A B A B x A y B (1.1) {x} B (1.3) {A} {B} (1.2) {y} A (1.4) {A} {B}
(2) A {{ }, a, b, {a}, {a, b}}= (2.1) { } A (2.3) {{a}, b} A (2.2) { } A (2.4) {a, b} A {a, b} A
(3) (3.1) A B B C A C (3.2) A B B C A C
(3.3) A B B C A C

O-NET / A-NET 15
(4) A (4.1) { x | x A } {A}= = (4.3) { x | {x} A } {A} = (4.2) { x | x A } A = (4.4) { x | {x} } =
(5) (5.1) n(A) 5= A 32 (5.2) n(A) 5= A 32 (5.3) n(A) 5= A 32
(5.4) n(A) 5= A 32
(6) A 511 A 511 5
(7) (7.1) (7.5) P ( ) (7.2) (7.6) P ( ) (7.3) { } (7.7) { } P ( )
(7.4) { } (7.8) { } P ( )
(8) A { , a, {b}, {a, b}}= (8.1) P (A) (8.6) a P (A) (8.2) { } P (A) (8.7) {a} P (A) (8.3) P (A) (8.8) {b} P (A) (8.4) { } P (A) (8.9) {{b}} P (A) (8.5) { , a, {b}} P (A) (8.10) { , a, {b}} P (A)
(9) A { , 1, 2, 3, {1}, {1, 2}, {1, 2, 3}}= (9.1) { , {1}, {1, 2}} P (A) (9.3) {{1}, {2}, {3}} P (A) (9.2) { , {1}, {1, 2}} P (A) (9.4) {{1}, {2}, {3}} P (A)
(10) [Ent39] S {1, 2, 3, 4, 5, 6, 7}= n(X) n(Y) X { A P (S) | 1 A= 7 A } Y { A X |= A 6 }
1.2 -
(Venn-Euler Diagram) U ( ) A, B, C
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O-NET / A-NET 16
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1 0 4
5 7
9
11
U
U
A B
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Math E-Book Release 2 - bbt.ac.th · PDF fileคณิตศาสตร o-net / a-net 4 แนวโจทย์ข้อสอบเข้ าฯในปัุบจจัน โจทย์