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15 May 2017
...................................................................................................................................................................... 1 ...................................................................................................................................................................... 5 ............................................................................................................................................................ 7 ..................................................................................................................................................................................... 9 ................................................................................................................................................. 13 ............................................................................................................................................................... 17 ............................................................................................................................................................... 25 ......................................................................................................................................................................................... 28 ............................................................................................................................................................. 30 ............................................................................................................................................................................. 38 ................................................................................................................................................. 41
1
(I)
3 (I+) (N) 1, 2, 3, ... (I0) 0 (I) 1, 2, 3, ...
: 1 1
(Q) ( 0)
1
5 = 51 , 2 =
2
1
( ) ( 0)
0.7 = 7
10 , 1.53 =
153
100
0. 3 = 39 , 0. 326 =
326
999 , 0.12356 =
1235612
99900=
12344
99900
(Q) 1.010010001 , 2.21452301520136455202 2 , 3 , 5 , 10 , ,
: 227
3.14 227 3.14
3.141592653589793238462643383279502884197169399 2: 2 3 (2 ~ 1.414 , 3 ~ 1.732)
(I)
(I+) (I0) (I)
(I)
(I+) (I0) (I)
(Q)
2
( 0)
2 3 = 6 = 2 8 = 16 = 4 =
(R) ( )
+ R Q R+ R Q+ Q
: 1
1. 1. 1 2. 2
3. 5 4. 2
5. 306 6. 0
7. 25 8. 227
9. 12.45254 10. 1.212121
11. 25 12. 0
(Q)
(R)
(I)
(I+) (I0) (I)
(Q)
3
13. 1
14. 1 + 2 15. 3 2
16. 2 18 17. 1+23
18. 19.
20. 21.
2. () 1. 2.
3. 3 4. 1
5. 8 6. 5
7. 2 8. 2
3. = 2 1.4 , = 3.1 = 53
1.63 , , [O-NET 56/3]
4. [O-NET 56/2] 1. 4 , 22
7 , 1.010010001 2. 23 , 8 , 2
3. + 1 , 16 , 0.101001000100001 4. 911
, 1.11111 , 83
5. 0.8 , 8 2 , 33
4
5. [O-NET 53/3] 1. 2.
6. [O-NET 52/5] 1. 2.
7. (3 1)2
[O-NET 54/4] 1. 2. 1.8
8. [O-NET 52/1] 1. 0 2. 0
5
5
= = = = = = = + = + = =
1. 1. 3 = 3 2. 1 = 5 1 + 1 = 5 + 1
3. = 1 1 = 4. = + 1 + 1 = + 2 = + 2
5. = 6 3 = 18 6. + 1 = 2 + 2 + = 5 + 1 = 5
7. + 2 = 6 8. 2 = 3 = 6
+ 2 + (2) = 6 + (2)
9. + 3 = 4 = 1 10. 7 (9 1) = 7 (9 1)
2 3 = 7 2 3 + 3 = 7 + 3 2 = 10
2 1
2 = 10
1
2
= 5
6
11. 3( + 1) = 6 + 1 = 2 12. + = = +
2.
5 3 = 23 5 = 23 + 3 18 = 3
6 =
= 6
1. ........................ 2. ........................ 3. ........................ 4. ........................
7
11
3 3 = 9 = 3
0 0 + = + 0 = 1 1 = 1 =
2 2 2 + (2) = (2) + 2 = 0 7 7 (7) + 7 = 7 + (7) = 0
32
32
32
+ (3
2) = (
3
2) +
3
2 = 0
0 0 0 + 0 = 0 + 0 = 0
2 12 2 1
2 =
1
2 2 = 1
32
23
32
2
3 =
2
3
3
2 = 1
23 3
2 ( 2
3) (
3
2) = (
3
2) (
2
3) = 1
0 0 1
+ = + = ( + ) + = + ( + ) ( ) = ( ) 0 1
( 0)
( + ) = ( ) + ( )
8
1. / 1. 2.
3. 4.
5. 6. 3
7. 8.
2. 1. + = +
2. 2 = 2
3. 2 + (3 + 4) = (3 + 4) + 2
4.
5.
6. + ( ) = ( + )( + )
3. 1. 8 2. 2 3. 1
2 4. 2
5. 0 6. 1 7. 1 8. 2 9. 1
2 10.
+1
4. [O-NET 52/4] 1. + = 0 = + 2. = 1 =
9
25 , 342 , 532 , 2 , 6 , , 21 , 0
,
25 + 35 = 55 32 + 2 = 42 22 2 = 22 2 ( )
32
2 2 = (3
2 1) 2 = (
31
2) 2 =
1
22
22 3 = 632 32 2 = 322
12
2 4
32 =
2
34
63
23=
32
2
1 25 + 4 + 5 , 32 + 2 2 , 6 32 , 23
25 + 4 + 5 3 25 , 4 , 5
() , () , () () () () = 25 + 4 + 5 (1) = 2(1)5 + 4(1) + 5 = 11 (2) = 2(2)5 + 4(2) + 5 = 67 () = 6 32 (0) = 6 3(0)2 = 6 (1) = 6 3(1)2 = 3
25 342 532 2 6 21 0 2 3 5 1 6 1 21 0
5 6 6 2 0 1 2
25 + 4 + 5 32 + 2 2 6 32 23 5 3 2 0
10
(25 + 4 + 5) + (5 2 2) = 35 2 + 2 + 5 (2 2 1) (22 2) = 2 2 1 22 + + 2 = 2 + 1
(22 + 4 + 5)(2 2) = 24 42 + 43 8 + 52 10 = 24 + 43 + 2 8 10
(2 2 + 5) ( + 2) = ( ) + 2 2 + 5 = ( + 2)( 4) + 13
3 + 2 + + = 23 32 + 5 = 2 , = 3 , = 0 , = 5
1. () = 2 1 , () = 3 + 2 , () = () () (2)
2. () 2 1 + 2 ()
3. () 2 1 2 + 3 1 ()
4 + 2 2 2 + 5
2 + 2 4 + 5 4 8
13
11
4. 2 + + = (2 + 1)(2 3) + +
5. ( + 2)( ) = 32 + + 10 + +
6. ( + )2 = 42 12 + > 0 + +
7. (())2 = 2 + 6 +
12
8. () = 23 + 2 + + 3 () = (2 + 1)() (1)
9. , , ( 1)2( + ) = 3 + + 4 + + + [O-NET 54/25]
13
2 + 2 3 = ( + 3)( 1)
1. 32 1222 + 62 = (3)( 4 + 2) 24 43 + 32 = (2)(22 4 + 3)
2. 3 22 + 3 6 = (3 22) + (3 6) = 2( 2) + 3( 2) = (2 + 3)( 2) 3 2 3 + 3 = (3 2) (3 3) = 2( 1) 3( 1) = (2 3)( 1)
3.
2 1 = ()2 (1)2 = ( 1)( + 1)
42 3 = (2)2 (3)2
= (2 3)(2 + 3)
83 27 = (2)3 (3)3 = (2 3)(42 + 6 + 9) 646 1 = (83)2 (1)2 = (83 1)(83 + 1) = ((2)3 13)((2)3 + 13) = (2 1)(42 + 2 + 1)(2 + 1)(42 2 + 1)
4. 2 + +
2 + 5 + 6 = ( + 2)( + 3) 2 + 7 + 6 = ( + 1)( + 6)
2 2 = ( )( + ) 3 3 = ( )(2 + + 2) 3 + 3 = ( + )(2 + 2)
2 + 2 + 2 = ( + )2 2 2 + 2 = ( )2 3 + 32 + 32 + 3 = ( + )3 3 32 + 32 3 = ( )3
2 + +
( + ? )( + ? )
+ 2
14
2 + 2 8 = ( 2)( + 4) 2 2 8 = ( 4)( + 2) 2 4 + 3 = ( 1)( 3) 4 62 + 8 = (2 4)(2 2)
5. 2 + +
22 + 7 + 6 = (2 + 3)( + 2) 62 17 3 = (6 + 1)( 3) 42 4 3 = (2 1)(2 + 3) 42 11 + 6 = (4 3)( 2) 6 22 = (3 2)(2 + ) 24 52 + 2 = (22 1)(2 2)
6. 6.1.
6.1.
1 2 1 2
( ) + ( ) 1 , 2 , 1 , 2
2 + +
(1 + 1)(2 + 2)
2 6 7 = 2 2(3)() + 32 32 7 2 2 + 2 = ( )2 = ( 3)2 32 7 = ( 3)2 16 = ( 3)2 42 2 2 = ( )( + ) = ( 3 4)( 3 + 4) = ( 7)( + 1)
2
2 + 2 5 = 2 + 2(1) + 12 12 5 = ( + 1)2 12 5 = ( + 1)2 6
= ( + 1 6)( + 1 + 6)
2 + 3 + 1 = 2 + 2 (3
2) + (
3
2)
2
(3
2)
2
+ 1
= ( +3
2)
2
(3
2)
2
+ 1
= ( +3
2)
2
5
4
= ( +3
2
5
2) ( +
3
2+
5
2)
22 7 1 = 2 (2 7
2
1
2)
= 2 (2 2 (7
4) + (
7
4)
2
(7
4)
2
1
2)
= 2 (( 7
4)
2
57
16)
= 2 ( 7
4
57
4) (
7
4+
57
4)
2 4 + 7 = 2 2(2) + 22 22 + 7 = ( 2)2 22 + 7 = ( 2)2 + 3
= ( 2 2 )
4 + 2 + 1 = 4 + 22 + 12 22 + 2 = (2 + 1)2 2 = (2 + 1)(2 + + 1)
15
1. 1. 2 + 12 2. 2 6 16
3. 32 + 24 4. 42 19 + 12
5. 62 3 18 6. 4 53 + 62
7. 332 242 8. 23 + 2 8 4
9. 4 202 + 64 10. 6 + 73 8
16
11. 3 32 6 + 8 12. 2 + 52 + 12
2. 1. 2 + 2 1
2. 2 4 + 1
17
2 3 + 2 = 0 {1, 2} 1 2
1
2 2 + + = 0 2 + + 0
2 + + = 0 2
2 3 + 2 = 0 2 (3)2 4(1)(2) = 9 8 = 1 > 0
4 + 5 = 2 13 4 2 = 13 5 2 = 18
= 18
2 = 9
5 + 22 = 9 4 2 32 + 4 4 = 0 (3 2)( + 2) = 0
= 2
3 , 2
3 2 = 0 =
2
3
+ 2 = 0 = 2
5 + 22 = 9 4 2 32 + 4 4 = 0
= 4424(3)(4)
2(3)
= 464
6 =
48
6
= 4
6 ,
12
6
= 2
3 , 2
= 3 = 4 = 4
=24
2
o 2 4 > 0 2 o 2 4 = 0 1 o 2 4 < 0
18
- 2 + + = 0 2
2 3 + 2 = 0 (3)1
= 3 21
= 2
22 4 + = 0 2 + + = 0 1 2 4 = 0
= 2 , = 4 , = (4)2 4(2)() = 0 16 8 = 0 2 = #
22 + 6 = 0 32
1 3
2
32
2 #
2 32
22 + 6 (2 3)(? + ? )
2 2 #
3 -
2 + + = 0
22 + 6 = 0 62 = 3
2 (32)
2
(3
2) + 6 = 0
9
2
3
2+ 6 = 0
9 3 + 12 = 0 21 = 3 = 7
= 3
2 , ?
(2 3)(? + ? ) = 0 22 + 6 = 0
22 7 + 6 = 0 (2 3)( 2) = 0
= 3
2 , 2
22 + 6
(2 3)(? + ? )
1 2
o 2
o 2
19
32
32 3
2 #
2 1 2 0
3 32 4 + 12 = 0 0
{2, 2, 3} #
1.
2. 3. 2 4. ( , )
3 90 1.
2.
2 2 3 2 + 3 = = ()(2 + 3)
3. 90 ()(2 + 3) = 90
3
2 = 3
= 3 2
3 = 2
2( 3) 4( 3) = 0
(2 4)( 3) = 0
( 2)( + 2)( 3) = 0
= 2, 2, 3
20
4.
= 152
6 6 = = 6 = 2 + 3 = 2(6) + 3 = 15 #
1. 1. 2 5 + 4 = 0 2. 42 3 = 9
2
3. ( 3)( 5) = 11 4 4. 3 22 + 2 = 0
5. 2 + 1 = 0 6. 2 + 4 + 1 = 0
2. 1. 2 5 + 6 = 0 2. 2 = 9
()(2 + 3) = 90 22 + 3 = 90 22 + 3 90 = 0 (2 + 15)( 6) = 0
= 15
2 , 6
21
3. 2 + + 1 = 0 4. 22 + 3 6 = 0
5. 2 + 6 + 9 = 0 6. 2 + 1 = 0
3. 2 + 1 = 0 12
4. 2 + 9 = 0 1
5. 2 [O-NET 51/6] 1. ( 2)2 + 1 = 0 2. (2 + 2)(2 1) = 0 3. ( 1)2(2 + 2) = 0 4. (2 1)( + 2)2 = 0
22
6. 1+2
+ = 1 [O-NET 57/9]
7. (2 + 1)(22 6 + ) = 0 1 [O-NET 54/7]
1. (0 , 3) 2. (3 , 6) 3. (6 , 9) 4. (9 , 12)
8. 34 42 + 6 = 0
[O-NET 53/6]
9. = 12 2 + 3 1 = 0
[O-NET 50/6]
23
10. 65 3 [O-NET 52/21]
11. 3 7 [O-NET 56/11]
12. 600 75% [O-NET 53/14]
24
13. 2
100 800 200 1,100 [O-NET 56/35]
14. 5 60 4 [O-NET 57/38]
15. 1 3 4 100 250 50 100 100 20 % [O-NET 51/37]
25
< < < < + < +
o < 5 < 5 o < 5 > 5
< < + < + = + () > < < < < 2 1
6 < < 15 1 < < 4 1
2 < < 14 #
0 < < 0 < < <
2
0 < < 0 < <
> 4
0 < < 0 < <
<
( )
0 < <
0 < 1
<
1
<
26
1. 1. < < 2 2. < 1
<
1
3. 0 < < 1
< 1
4. < < 0 1
<
1
5. < 2 < 2 6. < <
7. 0 < < < 8. < < 0 >
9. < > 0 < 10. < < <
11. < < <
12.
13. 6 < < 10 2 < < 4 4 < < 6
2. 6 < < 12 2 < < 3 1. + 2.
3. 4.
5. 2 3
27
3. , [O-NET 56/1] 1. = = 2. < 2 < 2 3. < < <
4. , , < < [O-NET 53/4] 1. < 2. <
5. 3 3 5 1.732 2.236 [O-NET 52/3]
1. 2.235 + 1.731 5 + 3 2.237 + 1.733 2. 2.235 1.731 5 3 2.237 1.733
6. = 18 12 = 75 50 [O-NET 57/3] 1. 2. 3 < 2 3. + < 2
28
/
[1, 5] 1 5 ( 1 5 ) { | 1 5 } [4 , 3) 4 3 ( 4 3) { | 4 < 3 } (2, ) 2 ( 2) { | 2 < } (, 2] 2 ( 2 ) { | 2 }
, , , , , 2 (0, 5) 6 (, 2] {2} (0, 5) (1, 3] (, 3]
(1, 5] (2, 6) = (1, 6) (1, 5] (2, 6) = (1, 2] (1, 5] (2, 6) = (2, 5]
(, 2] {0} = (, 0) (0, 2] (2, ) = (, 2] {1} = (, 1) (1, )
1. 1. (1, 10) (1, 2] 2. (, 2) (1, 0]
(, ____ ____ , )
[ (
] )
,
[4, 3)
(2, )
0 2 3 4 5 1 4 3 2 1 5
[1, 5]
(, 2]
(1, 5]
2 5 6 1
(2, 6)
29
3. (3, 3) (1, 1] 4. (, 2) (1, )
5. ( 12 , 2) (
1
3 , 3) (
1
4 , 4) 6. ( 1
2 , 2) (
1
3 , 3) (
1
4 , 4)
7. (, 5) (1, 5] 8. [2, ) (1, 2)
9. [8, 8) [1, 1) 10. [5, 8)
2. 1. 1 < 9 2. > 1
3. 3 4. > 1 1
5. < 2 > 2 6. > 2 < 2
7. 2 8. 4 2
30
3 6 10 55 2 2.5 2
2 > < ()
1
(, )
2 4 < 2 < 2 + 14
2 + 3 4 5 2 4 5 3 2 8
8
2
4
3 < 6
> 6
3
2 5
(5)(2)
> 3 2 < (3)(2)
2 > 8 > 8 + 2
+2
> 5
+ 2 ? 5 !
4 < 8
< 8
4
4
(, 4]
(4, 2)
2 4 < 2 < 2 + 14 2 4 2 < 2 2 < 2 + 14 2 4 < 2 3 < 14 4 2 < 2 3 2 < 14 2 6 < 3 < 12
6
3 >
3
3 >
12
3
2 > > 4
2
2
3 ()
5 3
5 3 (,)
4 2 > 2 + 5
4 > 5
31
1. 1. 3 < 2 1 3 2. 1 1 4+2
3 3
3. 1 2 + 1 < 5 4. 2 < 1 2 < + 4
> 4
2 4
< 2
(4, 2)
2 4 < 2 < 2 + 14
2 4 < 2 2 + < 2 + 4 3 < 6 < 2
2 < 2 + 14 2 < 14 2 3 < 12 > 4
32
2 0 0 + , + , , + , > 0 + < 0
2. 1. 2 5 + 6 < 0 2. 2 + 7 + 12 > 0
3. 2 4 > 0 4. 1+2
< 1
+1
2 4 5 > 0 ( + 1)( 5) > 0
(, 1) (5, ) 1 5
+ +
2 + 6 < 0 ( 2)( + 3) < 0
+ +
(3, 2) 3 2
(2)
(+3) < 0
+ +
(3, 2) 3 2
+ +
( + 1)( 2)( + 3) < 0
(, 3) (1, 2) 1 2 3
+ + +
(+1)(2)
(+3)(5) > 0
(, 3) (1, 2) (5, ) 2 5 1 3
33
3. 1. 22 3 2 0 2. 62 + 5 1 0
3. (2 1) 15 4. 33 + 22 3 2 0
5. 35+1
0 6. 35+1
1
2 + 6 0 ( 2)( + 3) 0
[3, 2] 3 2
+ + + + +
(2)(+3)
(+1)(5) 0
(, 3] (1, 2] (5, ) 2 5 1 3
34
() + + ()
4.
1. ( + 1)3( 2)4( + 3)5 < 0 2. (1)2(2)
+1 0
3. (2 1)( + 1) 0 4. (1)4(2)3
(3)2(4) 0
( ) 1 22 + 3 + 2 0 22 3 2 0 ( + 2)( + 1) > 0 ( 2)( + 1) < 0 ( + 2)( + 1) > 0 ( 2)( 1) > 0 ( 1 ) ( + 2)4( + 1) > 0 ( 2)4( 1) < 0 ( ( + 2)4 = ( 2)4)
(3)2(21)
(+2)(+1) 0
1 3 2 12
+ + +
(, 2) (1, 12 ] {3}
(1)4(2)3
(3)2(4)> 0
2 4 1 3
+ + +
(, 1) (1, 2) (4, )
35
5. 1. 4 2 0 2. (1)(+2)
2 0
3. (3)2(12)
(2)(+1) 0 4. (1)
4(2)3
(3)2(4) > 0
( 2 + 1) (2 + 1)( 3)( + 1) > 0 2 + 1 2 + 1 ( 3)( + 1) > 0
6.
1. 352+5
0 2. 32+1
2 0
36
3. 2 + 4 > 0 4. 2 + 4 0
7. 1 2 + 12
1 [O-NET 51/4] 1. [2 1, 1] 2. [2 1, 2] 3. [3 22, 1] 4. [3 22, 2]
8. = { | (2 + 1)(4 3) > 0 } [O-NET 56/6] 1. (1.2, 0.2) 2. (0.9, 0.3) 3. (0.6, 1.2) 4. (0.4, 1.5) 5. (0.3, 1.3)
37
9. 2 + 4 = 0 [O-NET 50/26] 1. (5, 5) 2. (, 4) [3, ) 3. (, 0) [5, ) 4. (, 3) [4, )
10. 120 1,240 [O-NET 56/36]
11. 25 120 18 500
[O-NET 57/37]
38
|| |2| = 2 , |5| = 5 , |3| = 3
||
||2 = 2
|| = |||| |
| =||
||
| + | || + || | | || || | + | || + || 2 = ||
0 < 0
1. 1. < || 2. || = ||
3. ||
=
|| 4. ( ||)2 42
5. < || < || 6. || < || <
7. || < || 2 < 2 8. || ||
9. |2 3| = 2 3 10. < 2 | 2| = 2
11. || || 12. || > || || > ||
13. || = || 14. 2 = < 0
15. | | = | | 16. ||
{1, 1} 0
17. || 2
|| = { 0 < 0
|| ()
39
2. > 1 |1 | < 2
3. , [O-NET 49/1-17] 1. < 2 < 2 2. < < 0 < 2 3. || < || < 4. 2 < 2 <
4. [O-NET 54/5] 1. || < || 3 < 3 2. , = =
5. , ||3 > 0 [O-NET 54/6] 1. > 0 2. > 0
6. , [O-NET 57/1] 1. = = 2. || < 0 < 0 || < 0 3. > 0 > 0 + 2
40
7. 5 [O-NET 50/4] 1. 2 25 2. || 5 3. || 25 4. ( ||)2 25
8. { | = ( + 1||
)2
(|| 1
)
2 0}
[O-NET 51/21]
9. ( , ) | 1| + |6 3| < 17 > 2 + [O-NET 54/27]
41
1.
|2 + 2 1| = 2 2 + 2 1 = 2 2 + 2 1 = 2 2 0
{3, 1, 1} #
|| = 3 + 4 = 3 + 4 = (3 + 4) 3 + 4 0
3 + 4 0 :
{1} #
|2 1| = 3 = = 3 0
#
2.
|3 2| 5 5 3 2 5 5 0
[1, 4] #
2 + 2 3 = 0 ( 1)( + 3) = 0 = 1, 3
2 + 2 + 1 = 0 ( + 1)2 = 0 = 1
2 = 4 = 2
= 3 4 4 = 4 = 1
3(2) + 4 = 2 0 3(1) + 4 = 1 0
8 2 2 4 1
| | = = = 0
| | < < < > 0
42
|5 2| < 1 ( 1) < 5 2 < 1 1 > 0
(, 4) (2, ) (1, ) = (2, 4) #
| + 1| 1 < < 1 > 0
#
3.
| + 2| + 4 + 2 + 4 + 2 ( + 4) + 4 0
(, 3] (, 4] = (, 3] #
|3 + 2| > 1 > < 1 < 0
R #
|13
| > 2 1
3> 2 1
3< 2 2 < 0
(, 5) (7, ) #
1 > 6 > 7
1 < 6 < 5
( 1) < 5 2 + 1 < 5 2 < 4
5 2 < 1 6 < 3 2 <
> 1
1 2 4
> 1
> 2
< 4
2 4
+ 2 4 2 6 3
4
4 3
< 4
< 3
< 5
5 7
> 7
| | > > < < 0
43
4.
|2 3| | 4|
(, 1] [ 32 , ) #
|2 4 5| = |2 3 + 8|
{ 13 , 12 , 3 } #
: /
1. / 1. | + 2| = 5 2. |2 1| = 1
|2 3|2 | 4|2 (2 3)2 ( 4)2 (2 3)2 ( 4)2 0
((2 3) ( 4))((2 3) + ( 4)) 0
(2 3 + 4)(2 3 + 4) 0 (4 + 6)(2 2) 0 (2 + 3)( 1) 0
1 32
+ +
|2 4 5|2 = |2 3 + 8|2 (2 4 5)2 = (2 3 + 8)2 (2 4 5)2 (2 3 + 8)2 = 0
((2 4 5) (2 3 + 8))((2 4 5) + (2 3 + 8)) = 0
(2 4 5 2 + 3 8)(2 4 5 + 2 3 + 8) = 0 ( 13)(22 7 + 3) = 0 ( 13)(2 1)( 3) = 0
= 13 , 1
2 , 3
| | = | | , | | > | | , | | < | | (||2 = 2) 2 2 = ( )( + )
| | = = = 0
| | < < < > 0
| | > > < < 0 | | = | | | | < | | | | > | |
||2 = 2
44
3. 2 + 4 = 4|| 4. |2 + 5| 3
5. |2 + 4| > 5 6. |2| > + 6
7. | + 3| < 2 8. |3 4| 2 1
9. | 3| 5 10. |2 1| 2
45
11. |2 + 1| | + 2| 12. |2 5 + 1| < |2 4 + 3|
13. |2 3 8| = 2 + 3 14. |1 3|1 3|| =
2. | 7| = 6 [O-NET 52/6] 1. 10 15 2. 14 3. 2 4. 3
3. 2|5 | = 1 [O-NET 53/5] 1. (10, 5) 2. (6, 4) 3. (4, 5) 4. (3, 6)
46
4. 3 2 = || [O-NET 51/24]
5. | 3| 4 [O-NET 56/33]
6. = { | | + 1| + 1 > 2 } [O-NET 57/10] 1. (4, 2] 2. (3, 1) 3. [1, 0) 4. [0, 2) 5. [2, 3)
7. = { | | 2| < 3 } = { | 2 3 4 > 0} [O-NET 57/11]
8. I = { I | |1|1|1|
2
3}
[O-NET 49/1-20]
47
1. 1 , 3 , 5 , 9 , 11 , 13 , 14 , 17 , 19 , 20 , 21 2. 1. 1 2. 3. 4 4. 5. 1 6. 7. 8. 3. < < 4. 1 5. 1, 2 6. 1 7. 1 8. -
1. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 2. 1. 2. 3. 4.
1. 1. + , 2. 3. + , 4. + , 5. + 6. + , 7. + , 8. 2. 2 , 4 , 5 3. 1. 8 2. 1
2 3. 1
2 4. 1
2
5. 0 6. 1 7. 1 8. 22
9. 22
10. +1
4. 1
1. 5 2. 22 + 3 2 3. 23 + 32 4 4. 3 5. 15 6. 8 7. 9
(())2 2 + 6 + (())2 2 () 1 () = + ( )
(())2 = 2 + 6 + ( + )2 = 2 + 6 + ( + )( + ) = 2 + 6 + 22 + + + 2 = 2 + 6 + 22 + 2 + 2 = 2 + 6 +
2 = 1 2 = 6 2 =
48
8. 10 () = (2 + 1) () () 1 () = +
9. 2
1. 1. ( + 4)( 3) 2. ( + 2)( 8) 3. (3 8)( + 3) 4. (4 3)( 4) 5. 3(2 + 3)( 2) 6. 2( 2)( 3) 7. 32( 2)(2 + 2 + 4) 8. (2 + 1)( 2)( + 2) 9. ( + 2)( 2)( + 4)( 4) 10. ( 1)(2 + + 1)( + 2)(2 2 + 4) 11. ( + 2)( 1)( 4) 12. ( + 22)( + 32) 2. 1. ( + 1 2)( + 1 + 2) 2. ( 2 3)( 2 + 3)
1. 1. 1 , 4 2. 34 ,
3
2 3. 2 4. 1, 1, 2
5. 152
6. 2 3 2. 1. 2, 5, 6 2. 2, 0, 9 3. 4. 2, 3
2 , 3
5. 1, 3, 3 6. 3. 1 4. 6, 6 5. 4 6. 2 7. 2 8. 2 9. 1
5 10. 36
11. 22 + 814 12. 120 13. 500 14. 30 15. 12
1. 3 , 4 , 9 2. 1. 8 15 2. 3 10 3. 12 36 4. 2 6 5. 3 18
3 2
() = (2 + 1)() 23 + 2 + + 3 = (2 + 1)( + ) 23 + 2 + + 3 = 3 + 2 + +
2 = = = 3 =
49
3. - 4. 2 5. 1 6. 1, 2
1. 1. (1, 10) 2. (, 2) 3. (1, 1] 4. 5. ( 1
2 , 4) 6. ( 1
4 , 2) 7. (, 1] 8. [2, )
9. [8, 1) [1, 8) 10. (, 5) [8, ) 2. 1. [1, 9) 2. (1, ) 3. (, 3] 4. (1, 1] 5. (, 2) (2, ) 6. (, ) 7. (, 2) (2, ) 8. [4, 2) (2, )
1. 1. (1, 2] 2. [5, 1] 3. [2, 2) 4. (1, 1) 2. 1. (2, 3) 2. (, 4) (3, ) 3. (, 2) (2, ) 4. (, 2) (1, )
3. 1. [ 12 , 2] 2. (, 1] [ 1
6 , ) 3. (, 5
2 ] [3, )
4. (, 1] [ 23 , 1] 5. (, 1) [ 5
3, ) 6. (, 1) [3, )
4. 1. (3, 1) 2. (, 1) {1} [2, ) 3. {1} [1, ) 4. (, 2] (4, ) 5. 1. [2, 2] 2. (, 2] [1, 2) 3. (, 2) (1, 1
2 ] {3}
4. (2, 3) (3, 4) 6. 1. [ 5
3 , ) 2. (, 1] (2, ) 3. R
4. 7. 3 8. 5 9. 4 10. 680 11. 89
1. 3 , 4 , 7 , 8 , 9 , 10 , 13 , 14 , 15 , 16 , 17 2. (1, 3) 3. 2 4. - 5. 2 6. 3 7. 3 8. 2 9. 8
1. 1. 3, 7 2. 3. 2, 2 4. [4, 1] 5. (, 1) (1, ) 6. (, 2) (6, ) 7. (3, ) 8. [1, 3] 9. (, 4] 10. (,)
50
11. (, 1] [1, ) 12. (2, 12) (4, )
13. 2 14. 1
4 ,
2
5 ,
1
5 ,
1
2
|1 3|1 3|| =
1 3|1 3| = 1 3|1 3| = 0 1 = 3(1 3) (1 ) = 3(1 3) 1 + = 3(1 3) (1 + ) = 3(1 3)
2. 3 3. 4 4. 3 1 5. 9 6. 5 7. 5 8. 6
081-8285490 John Quod
1 = 3|1 3| 1 + = 3|1 3|
1 0 1 + 0 1 = 3 9 8 = 2
= 1
4
1 + = 3 9 10 = 4
= 2
5
1 + = 3 9 10 = 2
= 1
5
1 = 3 9 8 = 4
= 1
2
1 0
1 + 0