内容正文:
— —170 R
89v:¢k£¤¥
1.C 2.C 3.D 4.B 5.C 6.D 7.B 8.B 9.C
10.B 11.y(x-3)2 12.1000 13.2 14.0
15.4a+12
16.́ :(1)x2-x-72
=x2-x-8×9
=(x-9)(x+8).
(2)(2a+b)2-8ab
=4a2+4ab+b2-8ab
=4a2-4ab+b2
=(2a-b)2.
(3)a2-ab+a-b
=(a2-ab)+(a-b)
=a(a-b)+(a-b)
=(a-b)(a+1).
(4)x4-81y4
=(x2)2-(9y2)2
=(x2+9y2)(x2-9y2)
=(x2+9y2)(x+3y)(x-3y).
17.́ :
l�
=x2-4y2+x2-4xy+4y2-(3x2-4xy)=
x2-4y2+x2-4xy+4y2-3x2+4xy=-x2.
ã
x=-2
�Ï
,
l�
=-(-2)2=-4.
18.́ :
µlEª-.018
xcm.
CÉ!Ý
,
(
(x-3)(x+3)=(x-1)2,
´(
x=5.
)
:
lEª-.018
5cm.
19.́ :
l�
=x2-2xy+y2-x2+4y2=-2xy+5y2,
x-5y=-2,①
2x+5y=-1,{ ②
①+②,(3x=-3,́ (x=-1.
ã
x=-1
�Ï①,́ (y=15,
5l�
=-2×(-1)×(15)+5×(
1
5)
2=25+
1
5=
3
5.
20.́ :∵210=a2=4b,
∴(25)2=a2,(22)5=4b.
∴322=a2,45=4b.
∴a=32,b=5.
(
1
4a+
1
5b)(
1
4a-
1
5b)-(
1
4a+
1
5b)
2
=(14a+
1
5b)[(
1
4a-
1
5b)-(
1
4a+
1
5b)]
=(14a+
1
5b)(
1
4a-
1
5b-
1
4a-
1
5b)
=(14a+
1
5b)(-
2
5b)
=-110ab-
2
25b
2.
ã
a=32,b=5
�Ï
,
l�
=-110×32×5-
2
25×5
2=
-16-2=-18.
21.́ :(1)(a+2b)(a+b)=a2+3ab+2b2
(2)
ÖaÅ7}¹º8
a2+5ab+4b2
.1ª-×
Æ3¥#~018
a
.Eª-��
,4
~018
b
.
Eª-��
,5
~1
、
¿'28
b,a
.1ª-��Ã
W�.1ª-
,
Â018
(a+b)
4
(a+4b),
∴a2+5ab+4b2=(a+b)(a+4b).
22.́ :(1)
CÉ!Ý
,
��æafç.¹º8
5b·5a-(5b-3b)·(5a-3a)-(5a-3a)·2b
=25ab-2b·2a-2a·2b
=25ab-4ab-4ab
=17ab.
)
:
ØÙÚëê��>
17ab
mªá.afç
.
(2)
æafça�ìG8
17ab·m=17abm(
#
),
éÜ
1
.¹º8
2b·(5a-3a)=2b·2a=4ab(
m
ªá
),
Ìæaêa�ìG8
4ab·n=4abn(
#
).
&�í8
(17abm+4abn)
#
.
)
:
ØÙÚëê�>�
(17abm+4abn)
#
.
23.́ :(1)x2-6x-7
=x2-6x+9-9-7
=(x-3)2-16
=(x-3-4)(x-3+4)
=(x-7)(x+1).
(2)∵x2+y2+4x-6y+13=0,
∴x2+4x+4+y2-6y+9=0,
Û
(x+2)2+(y-3)2=0.
∴x+2=0,y-3=0.
´(
x=-2,y=3.
Û
y
.Z8
3.
89�:¢k£¤¥
1.C 2.A 3.C 4.A 5.A 6.D 7.D 8.C 9.C
10.A 11.-32 12.
2y
3x2
13.x
2y
x+y 14.a≤4°a≠3
15.5x-
5
2x=
1
6
16.́ :(1)
l�
=3-1=2.
(2)
l�
=(a+b)(a-b)a-b ÷
(a+b)2
ab =(a+b)·
ab
(a+b)2
=aba+b
.
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),
(