兰州市2010年初中毕业生学业考试试卷
数 学（A ）
注意事项：
1．全卷共150分，考试时间120分钟．
2．考生必须将报考学校、姓名、准考证号、考场、座位号等个人信息填（涂）写在答题卡 的相应位置上．
3．考生务必将答案直接填（涂）写在答题卡的相应位置上．
一、选择题（本题15小题，每小题4分，共60分．在每小题给出的四个选项中，只有一项是符合题目要求的．）
1．观察下列银行标志，从图案看既是轴对称图形又是中心对称图形的有（ ）
A ．1个
B ．2个
C ．3个
D ．4个
2．函数y =
1
23
x x -+
-中自变量x 的取值范围是（ ）A ．2x ≤ B ．3x = C ．2x <且3x ≠ D ．2x ≤且3x ≠
3．已知一个几何体的三种视图如右图所示， 则这个几何体是（ ） A ．圆柱
B ．圆锥
C ．球体
D ．正方体
4．有下列四个命题：①直径是弦；②经过三个点一定可以作圆；③三角形的外心到三角形各顶点的距离都相等；④半径相等的两个半圆是等弧．其中正确的有（ ） A ．4个 B ．3个 C ．2个 D ．1个 5．二次函数2
365y x x =--+的图像的顶点坐标是（ ） A ．(18)-， B ．(18)， C ．(12)-， D ．(14)-，
6．已知两圆的半径R 、r 分别为方程2
560x x -+=的两根，两圆的圆心距为1，两圆的位置关系是（ ）
A ．外离
B ．内切
C ．相交
D ．外切 7．将量角器按如图所示的方式放置在三角形纸板上， 使点C 在半圆上．点A 、B 的读数分别为86°、30°， 则∠ACB 的大小为（ ）
A ．15°
B ．28°
C ．29°
D ．34°
主 视 图 左 视
图 俯视图 A
C
B
（第7题图）
8．某射击小组有20人，教练根据他们某次射击的数据绘制成
如图所示的统计图. 则这组数据的众数和中位数分别是（ ）
A ．7、7
B ．8、7.5
C ．7、7.5
D ．8、6
9．现有一个圆心角为90°，半径为8cm 的扇形纸片，用它恰好围成一个圆锥的侧面（接缝忽略不计）．该圆锥底面圆的半径为（ ）
A ．4cm
B ．3cm
C ．2cm
D ．1cm
10．如图，正三角形的内切圆半径为1，那么这个正三角形的边长为（ ） A ．2 B ．3 C ．3 D ．23
11．如图所示，菱形ABCD 的周长为20cm ，DE ⊥AB ，垂足为E ，3
sin 5
A =，则下列结论正确的个数有（ ）
①3cm DE = ②1cm BE = ③菱形的面积为2
15cm ④210cm BD =
A ．1个
B ．2个
C ．3个
D ．4个
12．上海世博会的某纪念品原价168元，连续两次降价%a 后售价为128元.下列所列方程中正确的是（ ）
A ．2
168(1%)128a += B ．2
168(1%)128a -= C ．2
168(12%)128a -= D ．2
2
168(1%)128a -=
13．抛物线c bx x y ++=2
图像向右平移2个单位再向下平移3个单位，所得图像的解析式为2
23y x x =--，则b c 、的值为（ ）
A ．22b c ==，
B ．20b c ==，
C ．21b c =-=-，
D ．32b c =-=，
14．已知点1(1)y -，，2(2)y ，，3(3)y ，在反比例函数21
k y x
--=的图像上．下列结论中
正确的是（ ）
A ．123y y y >>
B ．132y y y >>
C ．312y y y >>
D ．231y y y >> 15．抛物线c bx ax y ++=2
图像如图所示，则一次函数2
4b ac bx y +--=与反比例函数
a b c
y x
++=
在同一坐标系内的图像大致为（ ） D
C
B E A
第11题图
O
第10题图
人数
环数
7 6 3
2
1
5 6 7 8 9 10
（第8题图）
二、填空题（本题5小题，每小题4分，共20分）
16．已知关于x 的一元二次方程01)12
=++-x x m （有实数根，则m 的取值范围是 ．
17．如图，直角梯形ABCD 中，2AD BC AB BC AD =∥，⊥，，将腰CD 以D 为中心逆时针旋转90°至DE ，连接AE CE 、，ADE △的面积为3，则BC 的长为 ．
18．如图，扇形OAB ，∠AOB =90°，⊙P 与OA 、OB 分别相切于点F 、E ，并且与弧AB 切于点C ，则扇形OAB 的面积与⊙P 的面积比是 ．
19．如图，上体育课，甲、乙两名同学分别站在C 、D 的位置时，乙的影子恰好在甲的影子里边，已知甲，乙同学相距1米．甲身高1.8米，乙身高1.5米，则甲的影长是 米．
20．如图，小明的父亲在相距2米的两棵树间拴了一根绳子，给小明做了一个简易的秋千．拴绳子的地方距地面高都是2.5米，绳子自然下垂呈抛物线状，身高1米的小明距较近的那棵树0.5米时，头部刚好接触到绳子，则绳子的最低点距地面的距离为 米．
三、解答题（本题8小题，共70分.解答时写出必要的文字说明、证明过程或演算步骤.） 21．（本题满分10分）
（1）（本小题满分4分）2
11|2tan 60|(π 3.14)1222-??---+-+
???
E D C B A 第17题图 B E A D C
第19题图
2米 2.5米 1米 0.5米
第20题图 y
x 1- 1 O y x O y x O y x
O y x
O （第15题图）
A ．
B ．
C ．
D ．
A C
B E O P
第18题图 F
（2）（本小题满分6分）已知：12y y y =+，1y 与2
x 成正比例，2y 与x 成反比例，且1x =时，3y =；1x =-时，1y =．求1
2
x =-
时，y 的值． 22．（本题满分6分）小明家的房前有一块矩形的空地，空地上有三棵树A 、B 、C ，小明想建一个圆形花坛，使三棵树都在花坛的边上． （1）（本小题满分4分）请你帮小明把花坛的位置画出来（尺规作图，不写作法，保留作图痕迹）． （2）（本小题满分2分）若△ABC 中8AB =米，6AC =米，90BAC ∠=
，试求小明家圆形花坛的面积．
23．（本题满分6分）小莉的爸爸买了今年七月份去上海看世博会的一张门票，她和哥哥两人都很想去观看，可门票只有一张，读九年级的哥哥想了一个办法，拿了八张扑克牌，将数字为1，2，3，5的四张牌给小莉，将数字为4，6，7，8的四张牌留给自己，并按如下游戏规则进行：小莉和哥哥从各自的四张牌中随机抽出一张，然后将抽出的两张扑克牌数字相加，如果和为偶数，则小莉去；如果和为奇数，则哥哥去．
（1）请用树状图或列表的方法求小莉去上海看世博会的概率；
（2）哥哥设计的游戏规则公平吗？若公平，请说明理由；若不公平，请你设计一种公平的游戏规则．
A
C
B
第22题图
24．（本题满分8分）如图是某货站传送货物的平面示意图．为了提高传送过程的安全性，工人师傅欲减小传送带与地面的夹角，使其由45°改为30°．已知原传送带AB 长为4米． （1）求新传送带AC 的长度；
（2）如果需要在货物着地点C 的左侧留出2米的通道，试判断距离B 点4米的货物MNQP 是否需要挪走，并说明理由．（说明：（1）（2）的计算结果精确到0.1米，参考数据：2≈1.41，3≈1.73，5≈2.24，6≈2.45）
25．（本题满分9分）如图，1P 是反比例函数(0)k
y k x
=>在第一象限图像上的一点，点1A 的坐标为（2，0）．
（1）当点1P 的横坐标逐渐增大时，11POA △的面积将如何变化？
（2）若11POA △与212P A A △均为等边三角形，求此反比例函数的解析式及2A 点的坐标．
26．（本题满分10分）如图，已知AB 是O 的直径，点C 在O 上，过点C 的直线与AB 的延长线交于点2P AC PC COB PCB =∠=∠，，． （1）求证：PC 是O 的切线；
（2）求证：1
2
BC AB =； （3）点M 是弧AB 的中点，CM 交AB 于点N ，若4AB =，求MN ·MC 的值．
A
B
C
Q N M
P
30° 45° 第24题图
y x
O P 1
P 2
A 2 A 1 第25题图
C
P
B
N O A
M
第26题图
27．（本题满分10分）已知平行四边形ABCD 中，对角线AC 和BD 相交于点O ，10AC =，8BD =．
（1）若AC BD ⊥，试求四边形ABCD 的面积 ；
（2）若AC 与BD 的夹角60AOD ∠=
，求四边形ABCD 的面积；
（3）试讨论：若把题目中“平行四边形ABCD ”改为“四边形ABCD ”，且AOD θ∠=，
AC a BD b ==，，试求四边形ABCD 的面积（用含θ，a ，b 的代数式表示）
．
28．（本题满分11分）如图1，已知矩形ABCD 的顶点A 与点O 重合，AD 、AB 分别在x 轴、y 轴上，且23AD AB ==，，抛物线c bx x y ++-=2
经过坐标原点O 和x 轴上另一点(40)E ，．
（1）当x 为何值时，该抛物线的最大值是多少？
（2）将矩形ABCD 以每秒1个单位长度的速度从图1所示的位置沿x 轴的正方向匀速平行移动，同时一动点P 也以相同的速度．．．．．从点A 出发向B 匀速移动.设它们运动的时间为t 秒（03t ≤≤），直线AB 与该抛物线的交点为N （如图2所示）． ①当4
11
=
t 时，判断点P 是否在直线ME 上，并说明理由； ②以P 、N 、C 、D 为顶点的多边形面积是否可能为5，若有可能，求出此时N 点的坐标；若无可能，请说明理由．
O
A B C D 第27题图 y
x
O B
C D (A )
E
图1 y x
O B C
D A
E
P
M N 图2
第28题图
M
兰州市2010年初中毕业生学业考试试卷
数学（A ）参考答案及评分标准
一、选择题（本题15小题，每小题4分，共60分） 题号 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 答案
B
A
B
B
A
B
B
C
C
D
C
B
B
B
D
二、填空题（本题5小题，每小题4分，共20分） 16．5
4
m ≤
且1m ≠ 17．5 18．3224+
19．6 20．
1
2
三、解答题（本题8小题，共70分．解答时写出必要的文字说明、证明过程或演算步骤.） 21．（本题满分10分） （1）（本小题满分4分）
解：原式=34132++-- ··························································································· 2分
=3332++- ·································································································· 3分
5= ·
·························································································································· 4分 （2）（本小题满分6分）
解：1y 与2
x 成正比例，2y 与x 成反比例
设2
11y k x =，22k y x
=，22
1k y k x x =+ ··············································································· 2分
把1x =，3y =，1x =-，1y =分别代入上式得12
12
31k k k k =+??
=-? ········································· 3分
∴1221
k k =??
=?， 2
12y x x =+ ································································································· 5分
当12x =-，2
11132212222
y ??
=?-+=-=- ???- ································································ 6分 22．（本题满分6分） （1）（本小题满分4分）
用尺规作出两边的垂直平分线 ······························································································· 2分 作出圆 ····································································································································· 3分
O 即为所求做的花园的位置.（图略） ·············································································· 4分 （2）（本小题满分2分）
解：∵90BAC ∠=
，8AB =米，6AC =米，∴10BC =米
∴ABC △外接圆的半径为5米 ····························································································· 5分 ∴小明家圆形花坛的面积为25π平方米 ················································································ 6分 23．（本题满分6分）
（1）所有可能的结果如下表：
一共有16种结果，每种结果出现的可能性相同．
哥哥 小莉
4
6
7
8
1 （1，4） （1，6） （1，7） （1，8）
2 （2，4） （2，6） （2，7） （2，8）
3 （3，4） （3，6） （3，7） （3，8） 5
（5，4） （5，6） （5，7） （5，8）
··········································································· 2分 和为偶数的概率为
8
3
166= 所以小莉去上海看世博会的概率为
38
···················································································· 3分 （2）由（1）列表的结果可知：小莉去的概率为83，哥哥去的概率为8
5
，所以游戏不公平，
对哥哥有利． ·························································································································· 4分
游戏规则改为：若和为偶数则小莉得5分，若和为奇数则哥哥得3分，则游戏是公平的．
··········································································································· 6分
（游戏规则的修改有多种多样，阅卷老师视情况给分） 24．（本题满分8分）
（1）如图，作AD BC ⊥于点D ··················· 1分
Rt ABD △中，
2sin 454222
AD AB ==?=
················· 2分
在Rt ACD △中，∵30ACD ∠=
∴242 5.6AC AD ==≈ ·································································································· 3分 即新传送带AC 的长度约为5.6米． ····················································································· 4分 （2）结论：货物MNQP 应挪走． ······················································································· 5分 解：在Rt ABD △中，2
cos 454222
BD AB ==?
=
················································· 6分 A
B C
Q N
M
P
30° 45°
D
在Rt ACD △中，3
cos3042262
CD AC ==?
=
∴26222(62) 2.1CB CD BD =-=-=-≈
∵ 2.1 1.92PC PB CB =--=<≈4 ·················································································· 7分 ∴货物MNQP 应挪走． ········································································································ 8分 25．（本题满分9分）
解：（1）11POA △的面积将逐渐减小． ················································································· 2分 （2）作11PC OA ⊥，垂足为C ，因为11POA △为等边三角形，
所以113OC PC ==，，所以1(1
3)P ，． ·········································································· 3分 代入k
y x
=
，得3k =，所以反比例函数的解析式为3y x =． ······································ 4分
作212P D A A ⊥，垂足为D ，设1A D a =，则223OD a P D a =+=，，
所以2(23)P a a +，． ············································································································· 6分 代入3y x
=
，得(2)a +·33a =，化简得2
210a a +-= 解得：12a =-± ················································································································ 7分 ∵0a > ∴12a =-+ ···································································································· 8分
所以点2A 的坐标为(220)， ·································································································· 9分
26．（本题满分10分）
解：（1）∵OA OC =，∴A ACO ∠=∠ ∵22COB A COB PCB ∠=∠∠=∠， ∴A ACO PCB ∠=∠=∠ ······································································································ 1分 ∵AB 是O 的直径
∴90ACO OCB ∠+∠=
······································································································ 2分 ∴90PCB OCB ∠+∠= ，即OC CP ⊥ ············································································· 3分 ∵OC 是O 的半径 ∴PC 是O 的切线 ··············································································································· 4分 （2）∵PC AC = ∴A P ∠=∠ ∴A ACO PCB P ∠=∠=∠=∠
∵COB A ACO CBO P PCB ∠=∠+∠∠=∠+∠， ∴CBO COB ∠=∠ ··············································································································· 5分 ∴BC OC =
∴1
2
BC AB =
······························································ 6分 （3）连接MA MB ， ∵点M 是弧AB 的中点
∴弧AM =弧BM ∴ACM BCM ∠=∠ ··············· 7分 ∵ACM ABM ∠=∠ ∴BCM ABM ∠=∠ ∵BMC BMN ∠=∠ ∴MBN MCB △∽△ ∴BM
MN MC BM = ∴2
BM MC MN = ··············································································································· 8分 ∵AB 是O 的直径，弧AM =弧BM ∴90AMB AM BM ∠==
，
∵4AB = ∴22BM = ··································································································· 9分 ∴28MC MN BM == ······································································································· 10分 27．（本题满分10分） 解：（1）∵AC BD ⊥ ∴四边形ABCD 的面积1
2
S AC BD =? 1
1082
=
?? 40= ·························································································· 2分 （2）过点A 作AE BD ⊥，垂足为E ·················································································· 3分 ∵四边形ABCD 为平行四边形
152AO CO AC ==
= 1
42
B O D O B D ===
在Rt AOE △中，sin AE
AOE AO
∠=
∴353
sin sin 60522
AE AO AOE AO =∠=?=?=
··················································· 4分 ∴1153
453222
AOD S OD AE =
=??= △ ········································································ 5分 ∴四边形ABCD 的面积4203AOD S S ==△ ······································································ 6分 （3）如图所示过点A ，C 分别作AE BD ⊥，CF BD ⊥，垂足分别为E ，F ············ 7分
C
P
B
N O A
M
第26题图
在Rt AOE △中，sin AE
AOE AO
∠=
∴sin sin AE AO AOE AO θ=∠=? 同理可得
sin sin CF CO COF CO θ=∠=? ·························· 8分 ∴四边形ABCD 的面积11
22
ABD CBD S S S BD AE BD CF =+=+ △△ 1
s i n ()2
B D A O
C O
θ=+ 1
sin 2
BD AC θ= 1
sin 2
ab θ= ·
············································································· 10分 28．（本题满分11分）
解：（1）因抛物线c bx x y ++-=2
经过坐标原点O （0，0）和点E （4，0） 故可得04c b ==，
所以抛物线的解析式为2
4y x x =-+ ···················································································· 1分
由x
x y 42
+-=()2
24y x =--+ 得当2x =时，该抛物线的最大值是4． ··············································································· 2分 （2）①点P 不在直线ME 上.
已知M 点的坐标为（2，4），E 点的坐标为（4，0）， 设直线ME 的关系式为y kx b =+．
于是得???=+=+420
4b k b k ，解得?
??=-=82b k
所以直线ME 的关系式为28y x =-+ ·················································································· 3分
由已知条件易得，当411=
t 时，OA=AP=411，111144P ??
???
， ················································ 4分
∵P 点的坐标不满足直线ME 的关系式28y x =-+． ∴ 当4
11
=
t 时，点P 不在直线ME 上． ·············································································· 5分 ②以P 、N 、C 、D 为顶点的多边形面积可能为5 ∵点A 在x 轴的非负半轴上，且N 在抛物线上， ∴OA=AP=t .
O A
B
C
D
第27题图
F E
∴点P ，N 的坐标分别为()t t ，2
(4)t t t -+， ········································································ 6分 ∴2
4(03)AN t t t =-+≤≤，
∴2
2
(4)3(3)0AN AP t t t t t t t -=-+-=-+=-≥， ∴2
3PN t t =-+ ················ 7分 （ⅰ）当0PN =，即0t =或3t =时，以点P ，N ，C ，D 为顶点的多边形是三角形，此三
角形的高为AD ，∴ S=21DC ·AD=21
×3×2=3.
（ⅱ）当0PN ≠时，以点P ，N ，C ，D 为顶点的多边形是四边形 ∵PN CD AD CD ∥，⊥， ∴2211
()[3(3)]23322
S CD PN AD t t t t =
+=+-+?=-++ ·
········································· 8分 当2
335t t -++=时，解得12t =、 ······················································································· 9分 而1、2都在03t ≤≤范围内，故以P 、N 、C 、D 为顶点的多边形面积为5 综上所述，当12t =、时，以点P ，N ，C ，D 为顶点的多边形面积为5
当1t =时，此时N 点的坐标（1，3） ················································································· 10分
当2t =时，此时N 点的坐标（2，4） ················································································ 11分
说明：（ⅱ）中的关系式，当0t =和3t =时也适合.（故在阅卷时没有（ⅰ），只有（ⅱ）也可以，不扣分）
2017年甘肃省兰州市中考数学试卷 一、选择题（共15小题，每小题4分，满分60分.在每小题给出的四个选项中，只有一项是符合要求的。） 1．（4分）已知2x=3y（y≠0），则下面结论成立的是（） A．=B．=C．=D．= 2．（4分）如图所示，该几何体的左视图是（） A． B．C．D． 3．（4分）如图，一个斜坡长130m，坡顶离水平地面的距离为50m，那么这个斜坡与水平地面夹角的正切值等于（） A．B．C．D． 4．（4分）如图，在⊙O中，AB=BC，点D在⊙O上，∠CDB=25°，则∠AOB=（） A．45°B．50°C．55°D．60° 5．（4分）下表是一组二次函数y=x2+3x﹣5的自变量x与函数值y的对应值：x1 1.1 1.2 1.3 1.4 y﹣1﹣0.490.040.59 1.16 那么方程x2+3x﹣5=0的一个近似根是（） A．1 B．1.1 C．1.2 D．1.3 6．（4分）如果一元二次方程2x2+3x+m=0有两个相等的实数根，那么是实数m的取值为（）
A．m＞B．m C．m=D．m= 7．（4分）一个不透明的盒子里有n个除颜色外其他完全相同的小球，其中有9个黄球．每次摸球前先将盒子里的球摇匀，任意摸出一个球记下颜色后再放回盒子，通过大量重复摸球实验后发现，摸到黄球的频率稳定在30%，那么估计盒子中小球的个数n为（） A．20 B．24 C．28 D．30 8．（4分）如图，矩形ABCD的对角线AC与BD相交于点O，∠ADB=30°，AB=4，则OC=（） A．5 B．4 C．3.5 D．3 9．（4分）抛物线y=3x2﹣3向右平移3个单位长度，得到新抛物线的表达式为（）A．y=3（x﹣3）2﹣3 B．y=3x2C．y=3（x+3）2﹣3 D．y=3x2﹣6 10．（4分）王叔叔从市场上买了一块长80cm，宽70cm的矩形铁皮，准备制作一个工具箱．如图，他将矩形铁皮的四个角各剪掉一个边长xcm的正方形后，剩余的部分刚好能围成一个底面积为3000cm2的无盖长方形工具箱，根据题意列方程为（） A．（80﹣x）（70﹣x）=3000 B．80×70﹣4x2=3000 C．（80﹣2x）（70﹣2x）=3000 D．80×70﹣4x2﹣（70+80）x=3000 11．（4分）如图，反比例函数y=（k＜0）与一次函数y=x+4的图象交于A、B两点的横坐标分别为﹣3，﹣1．则关于x的不等式＜x+4（x＜0）的解集为（） A．x＜﹣3 B．﹣3＜x＜﹣1 C．﹣1＜x＜0 D．x＜﹣3或﹣1＜x＜0
甘肃省中考英语绝密预测试卷 第I卷选择题(满分65) IV. 语言知识。（共10小题，计10分） 本题共有10个小题，请从每个小题的四个选项中，选出一个最佳答案。 21. These children lost _______ homes. We should try to make _______ feel at home here. A. they, them B. their, them C. they, their D. them, they 22. My uncle borrowed some money ______ his friends to start his own business after he finished university. A. with B. onto C. in D. from 23. He isn’t in good health. Maybe that is because of his _______ lifestyle. A. unimportant B. unhappy C. unhealthy D. unfriendly 24. Get up early tomorrow morning, _____ you won’t catch the early bus. A. but B. and C . or D. so 25. 23. I’m sorry I can't join you. I my homework. A. don't finish B. didn't finish C. won't finish D. haven't finished 26. _______, then you can do well in the exam. A. Take it easy B. Don’t mention it C. Congratulations D. Have a good time 27. — Would you like something to drink, girls? —Yes, _______, please. A. two cup of coffee B. two pieces of bread C. two cups of coffee D. two hamburgers 28. She often goes to the Old People’s Home to _______ them _______. A. cheer…up B. clean…up C. set…up D. look….up 29. Because of the new traffic rule, fewer accident ________ last month. A. are caused B. were caused C. have caused D. will cause 30. Do you know from our school to the history museum? A. how far it is B. how far is it C. how long is it D. how long it is V. 完型填空。（共10小题，计10分） 阅读下面一篇短文，理解大意，然后从各小题的四个选项中选出一个最佳答案，使短文意思连贯完整。 Three small fish lived in the sea. When they were very young, their parents died. They had to 31 each other day after day. Finally, they grew up and 32 to swim deeper and further. One morning. the three fish were 33 to a shallow (浅) water by a big wave. A small boat was taken there, too. It was hard for the fish to go back to the sea because the boat was in front of them. The largest fish realized that they were 34 and said they had to find a way to leave there as soon as possible. The second largest fish 35 with his elder brother, but the youngest one did not. He said that there was much 36 for their activities, so he would not worry at all and still swam around 37 . At last, the largest fish returned to the 38 by jumping over the lowest part of the boat. The second largest fish also succeeded in 39 his elder brother in the other side of water. But the youngest one didn't follow them and still swam happily. Two hours later, when the 40 rose up, the water in the small shallow corner dried up. The fish who did not try to return to the sea died of lack (缺乏) of water. 31. A. listen to B. look after C. talk with D. worry about 32. A. began B. hated C. refused D. stopped 33. A. allowed B. given C. invited D. taken 34. A. in safety B. in luck C. in danger D. in peace 35. A. agreed B. talked C. compared D. discussed
甘肃省中考英语试题 A卷听力部分 I．听句子，选单词(每题1分，共8分) ( ) 1. A. great B. green C. grade ( )2. A. fruit B. foot C. food ( )3. A. 12：30 B.2:30 C. 20;15 ( )4. A. sunny B. rainy C. cloudy ( ) 5. A. sheep B. ship C. shop ( ) 6. A. December B. November C. October ( ) 7. A. Spring B. ring C. bring ( ) 8. A. ruler B. book C knife Ⅱ．听对话，从所给选项中选出一个最佳答案(每小题1分，共7分) ．( )1. A. eleven B. twelve C. seven ( )2. A. cleaning the room B washing his shoes C. watching TV ( )3. A. Monday B. Thursday C. Tuesday ( ) 4. A. On the bed B. On the desk C. Under the bed ( ) 5. A. Go to the zoo B Go for a walk C. Go to the park ( ) 6. A. 6577892 B. 6588792 C. 6577982 ( ) 7. A, cloudy B. sunny C. windy Ⅲ．听短文，根据其内容选出能完成下列句子的最佳答案(每题1分，共5分)。( )1. The story is about . A. a doctor B. a nurse C. a teacher ( )2. He was always ready. A, to ask for help B. to go and help people C. to make money 3. People always went to see him when they are A. happy B. ill C sad 4. Many years later, the doctor began. A, to help people B. to put things everywhere C. to forget things
初中毕业生学业考试数学试卷 注意事项： 1.全卷共150分，考试时间120分钟. 2.考生必须将姓名、准考证号、考场、座号等个人信息填（涂）写在答题卡的相应位置. 3.考生务必将答案直接填（涂）写在答题卡的相应位置. 一、选择题（本题15小题，每小题4分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的.） 1.下列方程中是关于x 的一元二次方程的是 A. 2210x x += B. 20ax bx c ++= C. (1)(2)1x x -+= D. 223250x xy y --= 2.如图，某反比例函数的图像过（-2,1），则此反比例函数表达式为 A. 2y x = B. 2y x =- C. 12y x = D. 12y x =- 3.如图，AB 是⊙O 的直径，点D 在AB 的延长线上，DC 切⊙O 于点C ，若∠A=25°，则∠D 等于 A. 20° B. 30° C. 40° D. 50° 4.如图，A 、B 、C 三点在正方形网格线的交点处，若将△ABC 绕着点A 逆时针旋转得到△AC B ''则tan B '的值为 A. 12 B. 13 C. 14 D. 4 5.抛物线221y x x =-+的顶点坐标是 A. （1,0） B. （-1,0） C. （-2,1） D. (2,-1) 6.如图是由几个小立方块所搭几何体的俯视图，小正方形的数字表示在该位置的小立方块的个数，这个几何体的主视图是
7.一只盒子中有红球m 个，白球8个，黑球n 个，每个球除颜色外都相同，从中任取一个球，取得白球的概率与不是白球的概率相同，那么m 与n 的关系是 A. m=3，n=5 B. m=n=4 C. m+n=4 D. m+n=8 8.点M （-sin60°，con60°）关于x 轴对称的点的坐标是 A. 12） B. （-12-） C. （-12） D. （12 -， 9.如图所示的二次函数2y ax bx c =++的图像中，刘星同学观察得出了下面四条信息： （1）24b ac -＞0；（2）c ＞1；(3)2a-b ＜0；(4)a+b+c ＜0.你认为其中错误的有 A. 2个 B. 3个 C. 4个 D. 1个 10.用配方法解方程250x x --=时，原方程应变形为 A. 2(1)6x += B. 2(2)9x += C. 2 (1)6x -= D. 2(2)9x -= 11.某校中考学生毕业时，每个同学都将自己的相片向全班其他同学各送一张留作纪念，全班共送了2070张相片，如果全班有x 名学生，根据题意，列出方程为 A. (1)2070x x -= B. (1)2070x x += C. 2(1)2070x x += D. (1)20702 x x -= 12.如图，⊙O 过点B 、C ，圆心O 在等腰R t △ABC 的内部，∠BAC=90°，OA=1，BC=6.则⊙O 的半径为 A. 6 B. 13 C. D. 13.现给出下列四个命题：①无公共点的两圆必外离；②位似三角形是相似三角形；③菱形的面积等于两条对角线的积；④对角线相等的四边形是矩形. 其中真命题的个数是 A. 1 B. 2 C. 3 D. 4
B E B 2018年兰州市初中学业水平考试 数学A 一、选择题：本大题共12小题，每小题4分，共48分，在每小题给出的选项中，只有一项是符合题目要求的. 1.-2018的绝对值是 A. 1 2018 B.-2018 C.2018 D. 1 2018 2.如图是由5个完全相同的小正方形搭成的几何体，则该几何体的主视图是（） A. 3.据中国电子商务研究中心（https://www.doczj.com/doc/964331358.html,）发布《2017年度中国共享经济发展报告》显示，截止2017年12月，共有190家共享经济平台获得1159.56亿元投资，数据1159.56亿元用科学计数法可表示为（） A.1159.56×108 元 B.11.5956×1010元 C.1.15956×1011 D.1.15956×1010 4.下列二次根式中，是最简二次根式的是（） A. B. C. D. 5.如图，AB∥CD，AD=CD，∠1=65°，则∠2的度数是（） A.50° B.60° C. 65° D.70° 6.下列计算正确的是（） A.2a.3b=5ab B . a4b7=a11 C.(-3a3b)3=6a7b3 D.a3+a3+a3=2a3 7.如图，边长为4的等边三角形ABC中，D、E分别为AB、AC的中点，则?ADE的面积是（） A. B. 2 C. 4 D. 第7题图第8题图第9题图 8.如图，矩形ABCD中，AB=3，BC=4，BE∥DF且BE与DF之间的距离为3，则AE的长是（） A. B. 3 8 C. 7 8 D. 5 8 9.如图，将Y ABCD沿对角线BD折叠，使点A落在点E处，交BC于点F.若∠ABD=48°，∠CDF=40°，则∠E为（） A.102° B.112° C. 122° D.92°
2018年初中学业水平考试英语(A) 二、单项选择（共15小题：每小题1分，满分15分） 阅读下列各题，从题后选项中选择一个最佳答案。 of the following is the correct pronunciation for the word“interesting” 27. I asked ____to do_____schoolwork by _____. A. him; his; himself B. her; her; itself C. her; his; myself D. him; her; herself 28. There are a lot of ____on the grass land. ______sheep-dog is sitting next them. A. sheep; The B. sheep; A C. Sheeps; The D. sheeps; A 29. —How often do you have a meeting one month —_______. A. For one week B. One week ago C. In one week D. Once a week 30. —Will Jim fly to Taiwan for a holiday —He _____try. In fact, it depends on how much the journey costs. A. may B. has to C. need D. must 31. How noisy it is! Could you please ____the CD player a little A. turn off B. turn down C. turn on D. turn up 32. She often pakrs her car near the house _____she can easily get to. A. where B. who C. which D. what 33. Which of the following is “dominoes” 34. Could you please tell ______ A. how can I make the machine work B. how I can make the machine work C. how I can make the machine to work D. how can I make the machine to work 35. Do you think _____acceptable for a group of women to dance to loud music on the square near your house A. it B. that C. this D. its 36. When you _____me last night, I _____the piano. A. were calling; was playing calling; played C. called; played D. called; was playing 37. A nurse_____Carolyn will look ater the baby when his mother _____away. A. naming; is B. naming; will be C. named; is D. named; will be 38. Which of the following is the one that has 2 sides equal length and 2 angles of the same measure 39. _______is the best way to keep a good relationship with your parents, teachers and other people around you. A. Active communicating B. Actively communicating C. Active communication D. Actively communication 40. Which of the fo llowing is the same as “I saw him reading a book” in pattern(结构) A. You have a very nice sister. B. He likes playing the piano. C. They are good at math. D. We call her Ms Liu. 三、完形填空（共15小题；每小题1分，满分15分） 阅读下面两篇短文。从短文后各题所给的四个选项中选出能填入空白处的最佳答案。 A Some people still live in their hometown. 41 , others may only see it once or twice a year. Nowadays, millions of Chinese leave the countryside to search for work in the 42 . Among these is Zhou Wei, a 4 husband and father. He has lived in Wenzhou for the last l3 years. He used ro return home 44 once a year, but hasn't been back for almost three years now because of the bard jo b in a crayon factory. “It’s a shame, but I don't have the tim.” he says. Many people like Zhong Wei regard with great interest 45 their hometowns have charged. Perhaps large hospitals and new roads have 46 . In mmy places the government has alos built new schools and sent teachers from the cities to help. But some things will never 47 . In my hometown, there was a big old tree opposite the school, It is still there and has become quite a 48 of the place. 41. A. But B. So C. Therefore D. However 42. A. countries B. hometowns C. cities D. farms 43. old B. 46-years-old C. 46 years old D. 46-year-old 44. A. at least B. at last C. at the most D. at first 45. D. while 46. 47. A. begin B. change the same D. happen 48. B. symbol C. hospital D. road B Mothers should be respected. My mother is a kind and gentle woman. She is very busy from morning till night. As a 49 , she works hard. As a mother, she takes good care of us and gives us every comfort. She teaches math at a middle school. She goes to work early in the morning and does not return home 50 late in the afternoon. She loves her students and cares for them. She is respected by 51 her students colleagues. She has been chosen or elected (选举) as a model teaeher several times. As soon as she comes back from school, she sets about 52 housework and preparing nice dishes for us. Although she is busy and older
2019年甘肃省武威市、白银市、定西市、平凉市、酒泉市、临夏州、 张掖市中考英语试题 听力部分 I.听力理解（分4小节，共20 小题；每小题1分，满分20 分） 第一节：听句子，选择与所听内容或语境相关的信息。每个句子读两遍。 1. 2. 3.A.Right B.Left C.Straight 4.A.Kiss B.Bow C.Shake hands 5.A.My family had a picnic last Sunday. B.My family doesn't like having a picnic. C.My family will go for a picnic next weekend. 第二节：听句子，选择恰当的应答语。每个句子读两遍。 6. A.I have a bad cold. B.I'm from the USA. C.I love science. 7. A.In 2019. B.Since seven o'clock. C.Every day. 8. A.Happy birthday! B.Sounds good. C.What a pity! 9. A.My pleasure. B.No,you needn't C.I don't agree. 10.A.She is very nice. B.She hates English. C.She has a dog. 第三节：听对话及问题，选择能回答所提问题的最佳答案。每段对话读两遍。 11.Why does the boy like rock music? A.Because it's popular. B.Because it's relaxing. C.Because it's exciting 12.Who is the most serious person in Jason's family? A.Jason. B.Jason 's brother. C. Jason 's father. 13.What's the population of France? A.67,190,000 B.76,109,000 C.67,090,000 14.What does Frank mean? A.H e hasn't watched the movie. B.He doesn't like the movie at all. C.He knows a lot about the movie. 15.How does the boy usually go to school? A.B y car B.By bus C.On foot. 第四节：听短文，根据其内容选出能回答下列问题的最佳答案。短文读两遍。 16.What is the passage mainly about? A.Frank's hometown B.Frank's school C.Frank's hobbies.
2020年甘肃省兰州市中考数学试卷 一、选择题（本大题共12小题，每小题4分，共48分，在每小原给出的四个选项中，只有一项是符合题目要求的） 1．（4分）1 2 -的绝对值是( ) A ． 12 B ．12 - C ．2 D ．2- 2．（4分）如图，该几何体是由5个形状大小相同的正方体组成，它的俯视图是( ) A ． B ． C ． D ． 3．（4分）智能手机已遍及生活中的各个角落，移动产业链条正处于由4G 到5G 的转折阶段．据中国移动2020年3月公布的数据显示，中国移动5G 用户数量约31720000户．将31720000用科学记数法表示为( ) A ．80.317210? B ．83.17210? C ．73.17210? D ．93.17210? 4．（4分）如图，//AB CD ，//AE CF ，50A ∠=?，则(C ∠= ) A ．40? B ．50? C ．60? D ．70? 5．（4分）化简：(2)4(a a a -+= ) A ．22a a + B ．26a a + C ．26a a - D ．242a a +-
6．（4分）如图，AB 是O 的直径，若20BAC ∠=?，则(ADC ∠= ) A ．40? B ．60? C ．70? D ．80? 7．（4分）一元二次方程(2)2x x x -=-的解是( ) A ．120x x == B ．121x x == C ．10x =，22x = D ．11x =，22x = 8．（4分）若点(4,3)A m --，(2,1)B n 关于x 轴对称，则( ) A ．2m =，0n = B ．2m =，2n =- C ．4m =，2n = D ．4m =，2n =- 9．（4分）中国古代人民在生产生活中发现了许多数学问题，在《孙子算经》中记载了这样一个问题，大意为：有若干人乘车，若每车乘坐3人，则2辆车无人乘坐；若每车乘坐2人，则9人无车可乘，问共有多少辆车，多少人，设共有x 辆车，y 人，则可列方程组为( ) A ．3(2)29x y x y -=??+=? B ．3(2)29x y x y +=??+=? C ．329x y x y =??+=? D ．3(2)29x y x y +=??-=? 10．（4分）如图，在ABC ?中，AB AC =，点D 在CA 的延长线上，DE BC ⊥于点E ，100BAC ∠=?，则(D ∠= ) A ．40? B ．50? C ．60? D ．80? 11．（4分）已知点1(A x ，1)y ，2(B x ，2)y 在反比例函数3y x =-的图象上，若120y y <<， 则下列结论正确的是( ) A ．120x x << B ．210x x << C ．120x x << D ．210x x <<
011 全卷共150分，考试时间120分钟． 一、选择题（本题15小题，每小题4分，共60分．在每小题给出的四个选项中，只有一 项是符合题目要求的．） 1． （2011甘肃兰州，1，4分）下列方程中是关于x 的一元二次方程的是 A ． B ． C ． D ． 2． （2011甘肃兰州，2，4分）如图，某反比例函数的图象过点（－2，1），则此反比例函数表达式为 A ． B ． C ． D ． 3． （2011甘肃兰州，3，4分）如图，AB 是⊙O 的直径，点D 在AB 的延长线上，DC 切⊙O 于点C ，若∠A=25°，则∠D 等于 A ．20° B ．30° C ．40° D ．50° 4． （2011甘肃兰州，4，4分）如图，A 、B 、C 三点在正方形网格线的交点处，若将△ACB 绕着点A 逆时针旋转得到△AC’B’，则tanB’的值为 A ． B ． C ． D ． 2 2 1 0x x + =2 0ax bx c ++=(1)(2)1x x -+=22 3250x xy y --=2 y x = 2y x =- 12y x = 12y x =- 12 13 1 4 4 A B D O C
5． （2011甘肃兰州，5，4分）抛物线的顶点坐标是 A ．（1，0） B ．（－1，0） C ．（－2，1） D ．（2，－1） 6． （2011甘肃兰州，6，4分）如图是由几个小立方块所搭几何体的俯视图，小正方形中 的数字表示在该位置的小立方块的个数，这个几何体的主视图是 A ． B ． C ． D ． 7． （2011甘肃兰州，7，4分）一只盒子中有红球m 个，白球8个，黑球n 个，每个球除 颜色外都相同，从中任取一个球，取得白球的概率与不是白球的概率相同，那么m 与n 的关系是 A ．m=3，n=5 B ．m=n=4 C ．m+n=4 D ．m+n=8 8． （2011甘肃兰州，8，4分）点M （－sin60°，cos60°）关于x 轴对称的点的坐标是 A ．（ ，） B ．（，） C ．（，） D ．（，） 9． （2011甘肃兰州，9，4分）如图所示的二次函数的图象中，刘星同学 观察得出了下面四条信息：（1）；（2）c>1；（3）2a －b<0；（4）a+b+c<0．你 认为其中错误．．的有 A ．2个 B ．3个 C ．4个 D ．1个 10．（2011甘肃兰州，10，4分）用配方法解方程时，原方程应变形为 A ． B ． C ． D ． 11．（2011甘肃兰州，11，4分）某校九年级学生毕业时，每个同学都将自己的相片向全 班其他同学各送一张留作纪念，全班共送了2070张相片，如果全班有x 名学生，根据题意，列出方程为 A ． B ． C ． D ． 2 21y x x =- +21 2 2- 1 2 -2- 1 2 1 2 - 2 - 2 y ax bx c =++2 40b ac ->2 250x x --=2 (1)6x +=2 (2)9x +=2 (1)6x -=2 (2)9x -=(1)2070x x -=(1)2070x x +=2(1)2070x x +=(1) 20702 x x -= 2 1 1 1
文档从网络中收集，已重新整理排版.word版本可编辑.欢迎下载支持. 2018年初中学业水平考试英语(A) 二、单项选择（共15小题：每小题1分，满分15分） 阅读下列各题，从题后选项中选择一个最佳答案。 26.Which of the following is the correct pronunciation for the word“interesting”? 27. I asked ____to do_____schoolwork by _____. A. him; his; himself B. her; her; itself C. her; his; myself D. him; her; herself 28. There are a lot of ____on the grass land. ______sheep-dog is sitting next them. A. sheep; The B. sheep; A C. Sheeps; The D. sheeps; A 29. —How often do you have a meeting one month? —_______. A. For one week B. One week ago C. In one week D. Once a week 30. —Will Jim fly to Taiwan for a holiday? —He _____try. In fact, it depends on how much the journey costs. A. may B. has to C. need D. must 31. How noisy it is! Could you please ____the CD player a little? A. turn off B. turn down C. turn on D. turn up 32. She often pakrs her car near the house _____she can easily get to. A. where B. who C. which D. what 33. Which of the following is “dominoes”? 34. Could you please tell ______? A. how can I make the machine work B. how I can make the machine work C. how I can make the machine to work D. how can I make the machine to work 35. Do you think _____acceptable for a group of women to dance to loud music on the square near your house? A. it B. that C. this D. its 36. When you _____me last night, I _____the piano. A. were calling; was playing B.were calling; played C. called; played D. called; was playing 37. A nurse_____Carolyn will look ater the baby when his mother _____away. A. naming; is B. naming; will be C. named; is D. named; will be 38. Which of the following is the one that has 2 sides equal length and 2 angles of the same measure? 39. _______is the best way to keep a good relationship with your parents, teachers and other people around you. A. Active communicating B. Actively communicating C. Active communication D. Actively communication 40. Which of the following is the same as “I saw him reading a book” in pattern(结构)? A. You have a very nice sister. B. He likes playing the piano. C. They are good at math. D. We call her Ms Liu. 三、完形填空（共15小题；每小题1分，满分15分） 阅读下面两篇短文。从短文后各题所给的四个选项中选出能填入空白处的最佳答案。 A Some people still live in their hometown. 41 , others may only see it once or twice a year. Nowadays, millions of Chinese leave the countryside to search for work in the 42 . Among these is Zhou Wei, a 4 husband and father. He has lived in Wenzhou for the last l3 years. He used ro return home 44 once a year, but hasn't been back for almost three years now because of the bard jo b in a crayon factory. “It’s a shame, but I don't have the tim.” he says. Many people like Zhong Wei regard with great interest 45 their hometowns have charged. Perhaps large hospitals and new roads have 46 . In mmy places the government has alos built new schools and sent teachers from the cities to help. But some things will never 47 . In my hometown, there was a big old tree opposite the school, It is still there and has become quite a 48 of the place. 41. A. But B. So C. Therefore D. However 42. A. countries B. hometowns C. cities D. farms 43. A.46-year old B. 46-years-old C. 46 years old D. 46-year-old 44. A. at least B. at last C. at the most D. at first 45. A.because B.since C.how D. while 46. A.appeared B.built C.found D.lost 47. A. begin B. change C.stay the same D. happen 48. A.school B. symbol C. hospital D. road B Mothers should be respected. My mother is a kind and gentle woman. She is very busy from morning till night. As a 49 , she works hard. As a mother, she takes good care of us and gives us every comfort. She teaches math at a middle school. She goes to work early in the morning and does not return