(完整版)九年级二次函数综合测试题及答案
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relationship, establi
she
d equivalent relati
onship
14, and subje
ct: a
ppli
cation
problem (4)--score
s and percentage a
ppli
cation
problem review conte
nt overview a
nswer
s scores, a
nd perce
ntage applicati
on pr
oblem
of key is: accordi
ng to meani
ng, (1) determine sta
ndar
d vol
ume (units
he
n in
-line
sol
ution. Category fracti
on multi
plicati
on w
ord pr
oblem score
Division applicati
ons engi
neeri
ng problem problem XV, a subje
ct: review
of the measur
ement of the am
ount
of capa
city, measurement a
nd
units
of measurement of com
mon units of measureme
nt and their sig
nifica
nce i
n rate 1, currency, le
ngth, area, v
olume,
unit si
ze, vol
ume, weight a
nd rate. (Omitted) 2, commonly
use
d time unit
s and t
heir relationships. (Slightly) with a measureme
nt units Zhijia
n of of poly 1, and of method 2, a
nd
poly method 3, a
nd
of m
ethod and
poly method
of relationshi
p measureme
nt dista
nce
of method
1, and tool mea
sureme
nt 2, and estimates 16,
and subject: ge
ometry preliminary k
nowle
dge (1)--li
ne a
nd a
ngle review conte
nt line, a
nd segment, and Ray, a
nd vertical
, and parallel, a
nd a
ngle angl
e of classification (slightly) 17, and subje
ct: geometry pr
eliminary knowle
dge (2)--plane gra
phi
cs review
conte
nt triangle, a
nd e
dges shape
d, a
nd round, and fan axisymmetric graphi
cs perimeter and are
a com
binati
on graphics of area subje
ct : Preliminary knowledge (3)-review
of soli
d content categ
ory 1-d shape
s are divided int
o: cyli
nder a
nd
cone 2, colum
n is divi
ded i
nto:
cuboi
d, square 3,
cone cone
of the features of cuboids a
nd
cubes relati
onship
betwee
n characteristi
cs of cir
cular
cone is slig
htly soli
d surfa
ce area and vol
ume 1, size 2, table ...
和
二次函数单元测评
一、
选择题
(
每题< br>3
分,共
30
分
)
1.
下列关系式中,属于二次函数的是
(x
为自变量
)(
)
A.
B.
C.
D.
2.
函数
y=x
2
-2x+3
的图象的顶点坐标是
(
)
A. (1
,
-4)
B.(-1
,
2)
C. (1
,
2)
D.(0
,
3)
3.
抛物线
y=2(x-3)
2
的顶点在
(
)
A.
第一象限
B.
第二象限
C. x
轴上
D. y
轴上
二、
4.
抛物线
的对称轴是
(
)
A. x=-2
B.x=2
C. x=-4
D. x=4
5.
已知二次 函数
y=ax
2
+bx+c
的图象如图所示,则下列结论中,正确的是
(
A. ab>0
,
c>0
B. ab>0
,
c<0
C. ab<0
,
c>0
D. ab<0
,
c<0
在第
6.
二次函数
y=ax
2
+bx+c
的图象如图所示,
则点
___
象限
(
)
A.
一
B.
二
C.
三
D.
四
7.
如图所示,已知二次函数
y=ax
2
+bx+c(a
≠
0)
的图象的顶点
P
的横坐标是
4
,图象交
x< br>轴于点
A(m
,
0)
和点
B
,且
m>4,那么
AB
的长是
(
)
A. 4+m
B. m
C. 2m-8
D. 8-2m
8.
若一次函数
y=a x+b
的图象经过第二、
三、
四象限,
则二次函数
y=ax
2
+bx
的图象只可能是
(
)
9.
已知抛物线和直线
在同一直角坐标系中的图象如图所示,抛物线的对称
轴为 直线
x=-1
,
P
1
(x
1
,
y
1
)
,
P
2
(x
2
,
y
2
)
是抛物线上的点,
P
3
(x
3
,
y
3
)
是直线
上的点,且
-1
,
x
3
<-1
,则
y
1
,
y2
,
y
3
的大小关
系是
(
)A. y
1
B. y
2
C. y
3
D. y
2
relationship, establi
she
d equivalent relati
onship
14, and subje
ct: a
ppli
cation
problem (4)--score
s and percentage a
ppli
cation
problem review conte
nt overview a
nswer
s scores, a
nd perce
ntage applicati
on pr
oblem
of key is: accordi
ng to meani
ng, (1) determine sta
ndar
d vol
ume (units
he
n in
-line
sol
ution. Category fracti
on multi
plicati
on w
ord pr
oblem score
Division applicati
ons engi
neeri
ng problem problem XV, a subje
ct: review
of
the measur
ement of the am
ount
of capa
city, measurement a
nd
units
of measurement of com
mon units of measureme
nt and their sig
nifica
nce i
n rate 1, currency, le
ngth, area, v
olume,
unit si
ze, vol
ume, weight a
nd rate. (Omitted) 2, commonly
use
d time unit
s and t
heir relationships. (Slightly) with a measureme
nt units Zhijia
n of of poly 1, and of method 2, a
nd
poly method 3, a
nd
of met
hod and
poly method
of relationshi
p measureme
nt dista
nce
of method
1, and tool mea
sureme
nt 2, and estimates 16,
and subject: ge
ometry preliminary k
nowle
dge (1)--li
ne a
nd a
ngle review conte
nt line, a
nd segment, and Ray, a
nd vertical
, and parallel, a
nd a
ngle angl
e of classification (slightly) 17, and subje
ct: geometry pr
eliminary knowle
dge (2)--plane gra
phi
cs review
conte
nt triangle, a
nd e
dges shape
d, a
nd round, and fan axisymmetric graphi
cs perimeter and are
a com
binati
on graphics of area subje
ct : Preliminary knowledge (3)-review
of soli
d content categ
ory 1-d shape
s are divided int
o: cyli
nder a
nd
cone 2, colum
n is divi
ded i
nto:
cuboi
d, square 3,
cone cone
of the features of cuboids a
nd
cubes relati
onship
betwee
n characteristi
cs of cir
cular
cone is slig
htly soli
d surfa
ce area and vol
ume 1, size 2, table ...
和
10.
把抛物 线
的图象向左平移
2
个单位,再向上平移
3
个单位,
所得的 抛物线的函数关系式是
(
)
A.
C.
B.
D.
二、填空题
(
每题
4
分,共
32
分
)
11.
二次函数
y= x
2
-2x+1
的对称轴方程是
______________.
12.
若将二次函数
y=x
2
-2x+3< br>配方为
y=(x-h)
2
+k
的形式,则
y=_______ _.
13.
若抛物线
y=x
2
-2x-3
与
x
轴分别交于
A
、
B
两点,
则
AB
的长为
_________.
14.
抛物线
y=x
2
+bx+c
,经过
A(- 1
,
0)
,
B(3
,
0)
两点,则这条抛物线的解 析
式为
_____________.
15. < br>已知二次函数
y=ax
2
+bx+c
的图象交
x
轴于
A
、
B
两点,
交
y
轴于
C
点,< br>且
△
ABC
是
直
角
三
角
形
,
请
写
出
一
个
符
合
要
求
的
二
次
函
数
解
析
式
__________ ______.
16.
在距离地面
2m
高的某处把一物体以初速度
v
0
(m/s)
竖直向上抛物出,
在不计空气阻力的情况下,
其上升高度
s(m)
与抛出时间
t(s)
满足:
(
其
中
g
是常数,
通常取
10m/s2
).
若
v
0
=10m/s
,
则该物体在运动 过程中最高点距地面
_________m.
17. 试写出一个开口方向向上,对称轴为直线
x=2
,且与
y
轴的交点坐标为
(0
,
3)
的抛物线的解析式为
______________.
18.
已知抛物线
y=x
2
+x +b
2
经过点
,则
y
1
的值是
_________ .
三、解答下列各题
(19
、
20
每题
9分,
21
、
22
每题
10
分,共
38
分
)
19.
若二次函数的图象的对称轴方程是,并且图象过
A(0
,
-4)
和
B(4
,
0)
(1)
求此二次函数图象上点
A
关于对称轴
二次函数的解析式;
对称的点
A
′的坐标
(2)
求此
relationship, establi
she
d equivalent relati
onship
14, and subje
ct: a
ppli
cation
problem (4)--score
s and percentage a
ppli
cation
problem review conte
nt overview a
nswer
s scores, a
nd perce
ntage applicati
on pr
oblem
of
key is: accordi
ng to meani
ng, (1) determine sta
ndar
d vol
ume (units
ionship, T
he
n in-line
sol
ution. Category fracti
on multi
plicati
on w
ord pr
oblem score
Division applicati
ons engi
neeri
ng problem problem XV, a subje
ct: review
of the measur
ement of the am
ount
of capa
city, measurement a
nd
units
of measurement of com
mon units of measureme
nt and their sig
nifica
nce i
n rate 1, currency, le
ngth, area, v
olume,
unit si
ze, vol
ume, weight a
nd rate. (Omitted) 2, commonly
use
d time unit
s and t
heir relationships. (Slightly) with a measureme
nt units Zhijia
n of of poly 1, and of method 2, a
nd
poly method 3, a
nd
of method and
poly method
of relationshi
p measureme
nt dista
nce
of method
1, and tool mea
sureme
nt 2, and estimates 16,
and subject: ge
ometry preliminary k
nowle
dge (1)--li
ne a
nd a
ngle review conte
nt line, a
nd segment, and Ray, a
nd vertical
, and parallel, a
nd a
ngle angl
e of classification (slightly) 17, and subje
ct: geometry pr
eliminary knowle
dge (2)--plane gra
phi
cs review
conte
nt triangle, a
nd e
dges shape
d, a
nd round, and fan axisymmetric graphi
cs perimeter and are
a com
binati
on graphics of area subje
ct : Preliminary knowledge (3)-review
of soli
d content categ
ory 1-d shape
s are divided int
o: cyli
nder a
nd
cone 2, colum
n is divi
ded i
nto:
cuboi
d, square 3,
cone cone
of the features of cuboids a
nd
cubes relati
onship
betwee
n characteristi
cs of cir
cular
cone is slig
htly soli
d surfa
ce area and vol
ume 1, size 2, table ...
和
20.
在直角坐标平面内,点
O
为坐标原点,二次函数
y=x
2
+(k-5)x-(k+4)
的图象
交
x
轴于点
A(x
1
,
0)
、
B(x
2< br>,
0)
,且
(x
1
+1)(x
2
+1)=- 8.
(1)
求二次函数解析式;
(2)
将上述二次函数图象沿
x
轴向右平移
2
个单位,设平移后 的图象与
y
轴
的交点为
C
,顶点为
P
,求△
POC
的面积
.
21.
已知:如图,二次函数
y=ax
2
+bx+c
的图象与
x
轴交于
A
、B
两点,其中
A
点
坐标为
(-1
,
0)
,点
C(0
,
5)
,另抛物线经过点
(1
,
8)
,
M
为它的顶点
.
(1)
求抛物线的解析式;
(2)
求△
MCB
的面积
S
△
MCB
.
3