内容正文:
书书书
!
a- a2-a-槡 2=1,"# a=3.
$%
,
&'
a
()*+,-
{-1,3}.
!
、
"#$
17.
"
:(1)
./0#
(m-1)2 =1,
"#
m=0
1
m=2.
2
m=2
3
,f(x)=x-2
4
(0,+∞)%5678,
9/:;<
,
=>
;
2
m=0
3
,f(x)=x2
4
(0,+∞)
%567?
.
@A
m=0.
(2)
B
(1)
CD
f(x)=x2,
2
x∈[1,2]3,f(x),g(x)567?,
@A
A=[1,4],B=[2-k,4-k],
E-
A∪B=A,@A BA,
@A
2-k≥1,
4-k≤{ 40≤k≤1.
F&'
k
()*GHI
[0,1].
18.
"
:(1)
E-
f(x)
IJK'
,
@A
f(-x)=-f(x),
L
-2-x+m
2-x+1+n
=--2
x+m
2x+1+n
MNOPQR0&'
x
ST
,
UVWX#YZ
x
([\]
(2m-n)·22x +
(2mn-4)·2x+(2m-n)=0,
@A
2m-n=0,
2mn-4=0{ ,L
m=-1,
n=-{ 2(!)1
m=1,
n=2{ .
(2)
B
(1)
#
f(x)=-2
x+1
2x+1+2
= (12 -1+ 22x+ )1 ,
^_`
f(x)
4
R
%78
,
E-
f(f(x))+f( )14 <0,
@A
f(f(x))<-f( )14 =f-( )
1
4
,
@A
f(x)>-1
4
,
L
1
2
-1+ 2
2x+( )1 >-
1
4
,
UV#
2x <3,
"#
x<log23,
F@ab\]("+-
(-∞,log23).
19.
"
:(1)
E-K'
f(x)
-NO4
[-1,1]
%(
JK'
,
2
x∈[-1,0]3,K'"c]- f(x)=
1
4x
-
b
2x
(b∈R).@A f(0)=
1
40
-b
20
=1-b=0,
"#
b
=1,
L2
x∈[-1,0]3,f(x)=
1
4x
-1
2x
,
2
x∈(0,1]3,-x∈[-1,0),
@A
f(-x)= 1
4-x
-1
2-x
=4x-2x,
dE-
f(x)=-f(-x),
@A
f(x)=2x-4x,x∈(0,1].
(2)
B
(1)
#
:
2
x∈(0,1]3,f(x)=2x-4x,
e
t=2x(t∈(1,2]),
f
f(t)=t-t2,
g
f(t)
4
(1,2]
%5678
,
@A2
t=2
3
,f(t)min =-2,h3 x=1,
L
f(x)
4
(0,1]
%(ij*-
f(1)=-2,
E-MR0(
x∈(0,1],k! f(x)≥a,
@A
a≤f(x)min,L a≤-2,
F&'
a
()*GHI
(-∞,-2].
20.
"
:(1)
E-
f(x)+f(-x)=0,
@A
f(0)=0,
L
b=-1.
dE-
f(x-1)=f(x+1),f( )32 =1-槡2,
@A
f( )32 =f-( )
1
2
=-f( )12 =1 槡-a=1-槡2,
@A
a=2,
@A2
x∈[0,1)3,f(x)=2x-1.
d2
x∈(-1,0]3,-x∈[0,1),
@A
f(-x)=2-x-1,
@A
f(x)=-f(-x)=1-2-x.
E-
f(x)+f(-x)=0,f(x-1)=f(x+1),
@A
f(1)=f(-1)=0,
@A
f(x)=
1-2-x,x∈(-1,0),
0, x=-1
1
1,
2x-1,x∈[0,1)
{
.
(2)
E -
f(x)+
f(-x)=0,f(x-1)=
f(x+1),
@A
f(x+2)=
f(x),
@A
f(x)
IJK'
,
gA
2
-lm
.
no
f(x)-|log4x|=0(&'"(p'qrIK
'
y=f(x)
s
y=|log4x|(tuvw(p'.
4xyz{|}~���K'(tu�t
6,
Bt
u#vwp'-
3,
@Ano
f(x)-|log4x|=0(&'"(p'-3.
21.
"
:(1)
E-
f(x)
-�K'
,
@A
f(x)=f(-x),
@A
(x+1)(x+a)
x2
=(-x+1)(-x+a)
x2
,
L
2(a+1)x=0,
dE-
x∈Rg x≠0,@A a=-1.
(2)
B
(1)
CD
f(x)=x
2-1
x2
.
2
x=±1
3
,f(x)=0;
2
x=2
3
,f(x)= 3
4
,
@A {E= 0, }34 .
� λ=(lg2)2+lg2lg5+lg5-
1
4
=lg2(lg2
+lg5)+lg5-1
4
=lg2+lg5-1
4
=lg10-1
4
=3
4
,