(完整版)九年级二次函数综合测试题及答案

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2021年01月18日 12:10
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2021年1月18日发(作者:乐兑谦)
relationship, establi
she
d equivalent relati
onship
14, and subje
ct: a
ppli
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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
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nder a
nd
cone 2, colum
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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 ...

二次函数单元测评

一、
选择题
(
每题< br>3
分,共
30

)



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.

B.

C.




D.






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
-11
2

x
3
<-1
,则
y
1

y2

y
3
的大小关
系是
(


)A. y
1
2
3

B. y
2
3
1

C. y
3
1
2


D. y
2
1
3

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 ...

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

)



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

x
轴分别交于
A

B
两点,

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,

y
轴于
C
点,< br>且

ABC
























__________ ______.



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,
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:
(


g
是常数,
通常取
10m/s2
).

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

)



19.
若二次函数的图象的对称轴方程是,并且图象过
A(0

-4)

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 ...

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


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

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

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

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