内容正文:
R— —171
17.́ :(1)
'�/04
(3+x)(3-x),
(
27-9x=18+6x,
ϹÈV(
15x=9,́
(
x=35,
µ67
:x=353'�ªX.´,
∴
lªX.´8
x=35.
(2)
ªX/04
x(x+1)(x-1),
(
3(x-1)-(x+1)=0,
´(
x=2,
µ67
:x=2
3'�ªX.´
,
∴
lªX.´8
x=2.
18.́ :
l�
=x(x+1)
(x-1)2
÷2x-(x-1)x(x-1)
=x(x+1)
(x-1)2
·
x(x-1)
x+1
= x
2
x-1,
∴x≠±1°x≠0,
∴x=-2.
5l�
=(-2)
2
-2-1=-
4
3.
19.́ :(1)
ã
k=3
�ϪX
,
(
1
x-2+3=
3-x
2-x,
f';
,
(
1+3x-6=x-3,
´(
x=1,
µ67
:x=1
3'�ªX.´
,
∴
�ªX.´8
x=1.
(2)
f';
,
(
1+3x-6=x-k,
Û
2x=5-k,
¥'�ªXAÑC
,
(ó
x-2=0,
Û
x=2,
ã
x=2
�ϪX
,
(
4=5-k,
´(
k=1.
20.́ :
l�
=(a+b)(a-b)a(a+b) ÷
a2-2ab+b2
a
=(a+b)(a-b)a(a+b) ·
a
(a-b)2
= 1a-b,
¶
a=3,b=1
·
,
l�
= 13-1=
1
2.
21.́ :
µûÞ[á.lB88,G
x
#
.
CÉ!Ý
,
(
105
x+
140
0.8x=40.
´'�ªX
,
(
x=7.
µ67
:x=7
3l'�ªX.´
,
°ÇÈ!Ý
,
∴
ªX.´8
x=7.
)
:
ûÞ[á.lB88,G
7
#
.
22.́ :(1)A
(2)
'�¼»ÆUf';
,
n´'�ªXRNO
(3)
Ez´)\v
:
l�
= x-3
(x+1)(x-1)-
3
1-x
= x-3
(x+1)(x-1)+
3
x-1
= x-3
(x+1)(x-1)+
3(x+1)
(x-1)(x+1)
=x-3+3(x+1)
(x-1)(x+1)
= 4x
(x-1)(x+1).
23.́ :(1)
µ8÷&Þfg.Bù3
x
#
,
58÷%Þ
fg.Bù3
(x+10)
#
,
CÉ!Ý
,
(
350
x+10=
300
x .
´'�ªX
,
(
x=60.
µ67
:x=60
3l'�ªX.´
,
°ÇÈ!Ý
,
∴
ªX.´8
x=60.
∴x+10=60+10=70.
)
:
%
、
&/ÞeZfg8÷.Bù'23
70
#
、
60
#
.
(2)
µ%Þfg8
m
÷
,
5&Þfg8
3m
÷
,
CÉ!Ý
,
(
m+3m=2000.
´(
m=500.
Û%Þfg8
500
÷
,
&Þfg8
1500
÷
,
¬·�`abc8
70×500+60×1500=125000(
#
).
)
:
q�\/V]«¬¬�².3ÈAÛû
2000
÷
fg
,
�`abc
125000
#
.
¦§¢k£¤¥
1.B 2.C 3.A 4.B 5.B 6.A 7.C 8.C 9.B
10.D 11.825 12.1 13.5 14.2 15.104°
16.́ :(1)
l�
=4(x2-2x+1)-(4x2-25)=4x2-8x+
4-4x2+25=-8x+29.
(2)
l�
=4a
2
b2
·
1
a-b-
a
b·
4
b=
4a2
b2(a-b)
-4a
b2
=
4a2-4a(a-b)
b2(a-b)
=4a
2-4a2+4ab
b2(a-b)
= 4ab
b2(a-b)
= 4ab(a-b).
17.́ :
l�
=a
2+1-2a
a ·
a(a+2)
(a+2)(a-1)=
(a-1)2
a ·
a(a+2)
(a+2)(a-1)=a-1,
∴-2≤a≤2,°a8FG,
¶
a=0,1,-2
·yAÝz
,∴a=-1
9
2.
¶
a=-1
·
,
l�
=-1-1=-2;
¶
a=2
·
,
l�
=2-1=1
.
— —172 R
18.
æÚ
:∵D
3cÜ
BC
.Kp
,
∴BD=CD.
∴AB=AC=BC,
∴△ABC8*0%,-.
∴AD
8
BC
.ñ@m'c
.
∴BE=CE.
19.́ :(1)
\]ab
,△A′B′C′Û8a².
(2)
¥]Å(
,A′(