1. 04
-
-
-
-
2B

2. 2
--------------------------------------------------------------------------------------------------------------------------------
-
( ) ( )p q p q
[( ) ]p q p q
[ ( ) ]p p q q
[ ( ) ] ( )p p q p q
[ ( ) ( ) ]x P x Q x [ ( ) ( ) ]x Q x P x
[ ( ( ) ( ) ) ]x P x Q x [ ( ) ( ) ]x P x Q x
[( 0) ( 1 0)]x x x
2
[ ]x y y x" $ =
,a b c [ , ]a b a b
|b c [ , ] [ , ]a b a c
|a b |b c 2 2
| ( )a b c-
|c a |c b [ , ]
a b
a b
c
| ( )a b c+ |a b |a c
2 2 2 2
1 2 3 ...
1 2 3 ...
n
n
a
n
+ + + +
=
+ + + +
1 0
1
3
n n
a=
1 1 2 1 2 120
3 1 1 1 4 110
T O Y O T A
2
1 5
4
1 5
7
3 0
1 1
3 0

3. 3
--------------------------------------------------------------------------------------------------------------------------------
f x
x
1
( ) , g x x( ) = 3 2
( ) 2 2h x x x x= + + f g h
A+
- +
( )n A A
n A( ) 0= n A( ) 1=
n A( ) 2= n A( ) 2>
1 1
2 4
A
-
= x
A x x=
2 3
4 5
A B C C
1 2
sin
1 3
B = ( )t a n B A-
1 1 1 9
1 2 0
1 3
1 2
1 6 9
6 0
1 1
3 3 3 4 5x x x+ -
- - =
0,1 (1, 2
(3, 4 (2, 3
( )
7
3 i+
( )64 3 i- + ( )64 3 i- -
( )64 3 i+ ( )64 3 i-

4. 4
--------------------------------------------------------------------------------------------------------------------------------
2u i j k= + + 3v i j= -
17 47
5 9 79
1 2 9
, , ...,x x x 1 5 7
x
1 2 2 1
1 1 3 2 1 4
3 1 5 4 1 6
13. 50 30
6 5
7 5 2 0
1 7 0 2 80
3 85 4 9 0
14 3,5,5,8,9 2
3 0s
1 1 2 4 2 1 3 4
3 1 4 4 4 1 5 4

5. 5
--------------------------------------------------------------------------------------------------------------------------------
-
( )p q r
q r
p
{ }A x x x| 3 | 2 | | 6 |
x
B x
x
| 2
2
= >
-
A B-
4
0, 4, 6
3
{ }
4
0, 2 4, 6
3
0, 2 4, 6 { }0, 2 3 4, 6
1 1 1 1
1 3 3 5 5 7 2 3 2 5
a
b
+ + + + = a b
a
b
( , )a b a b [ , ]a b a b
( , ) [ , ]a b a b+
5 7 5 6 0 0
3 0 0 3 0 1

6. 6
--------------------------------------------------------------------------------------------------------------------------------
G
1 2 3 4 5 6 7 8
( ) { , , , , , , , }V G v v v v v v v v=
( ) { |m n
E G v v m n= < ,m n ,m n }
2 0 2 2
2 4 2 6
7
9
1 7
4 5
3 7
4 5
5 7
9 0
{ }, , ,A a b c= { }B 1, 2, 3, 4= f A B: f a( ) 2= f b p( ) = p
f
8 18
40 48
1 2x 3 4y
x y x y2 2
1 6 4 3 2 2 4 1 2 0+ - - - =
x y x y2 2
4 1 6 2 4 3 2 1 2 0+ - - - =
x y x y2 2
1 6 4 3 2 2 4 1 2 0- - - - =
x y x y2 2
4 1 6 2 4 3 2 1 2 0- - - - =
{ }A x y x y x y2 2 2 2
( , ) ( 5) ( 5) 6
B A B
{ }B x y y x( , ) 3 { }B x y y x( , ) 4
{ }( , ) 3 4B x y y x { }( , ) 4 3B x y y x

7. 7
--------------------------------------------------------------------------------------------------------------------------------
A B C 16a = 10b = 14c =
a
5 3 8 3
20 3
7
40 3
7
2 2
1 1x y x y+ = ( )
1 1
lo g lo g lo g
3 2
x y x y- = +
( ) ( )2 lo g 1 2 5 lo g 2 7 lo g 1 0 0 0 3 lo g 2 2 lo g 3+ - = - +
( ) ( )1, 6, 4 , 5, 3, 2A B- - - ( )2, 1, 4C - - A C B
6
p
4
p
3
p
2
p
1 2 10
, , ...,x x x
1 0
2
1
( 1) 2 0 7 0,i
i
x
=
+ =
1 0
1
( 1) 1 2 0i
i
x
=
+ =
5 2
( )s
8 0 9 0
1 0 0 1 1 0

8. 8
--------------------------------------------------------------------------------------------------------------------------------
27. 5
1000 10000
: X 1 3 4 7 1 0
: Y 0 1 2 3 4
5000
1 2000 2 2200
3 2400 4 2600
28.
65 20%
2
1 7 1 2 8 1
3 9 1 4 1 0 1

9. 9
--------------------------------------------------------------------------------------------------------------------------------
-
2
x x+ 3 2
2x p x q+ + 3 p q
p q
n
( )f n 2
n 4 ( ) 2g n n= +
2 0 1 1
1
( ) ( )
n
g f n
=
3 k 3 2
3 3 0x x k x- - + =
4
1 1
2 1
A
-
= B 1
3B A -
= ( )( )a d j Bd et
(1, 1) x y d x e y f2 2
0+ + + + = X
Y , ,d e f d x ey f 0+ + = X a( , 0)
a
A B C 6 A 3b =
5c = a
2 , 2 3u i j k v i k= + - = - + 7 4w j k= -
a b a b<
( ) ( )( )( )x x2
7 2 3 1 0 1 01 1
1 5
lo g 1 3 3 1 lo g 3 4 3 lo g 8 lo g 8 1 4 lo g 4 0 0 lo g 2 5 6
2
+ - + - =
3a b+
9. 3
2 6
0z = 1.5z = 0.4332
10.
x 1- 0 1 2
y 3- a b 1
2y x= - a b-