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巴蜀15~16学年初()三上)半期考试

巴蜀15~16学年初()三上)半期考试
巴蜀15~16学年初()三上)半期考试

重庆市巴蜀中学2015~2016学年第一学期半期考试

初2016级(三上)数学试题卷

一、选择题(本大题12个小题,每小题4分,共48分)在每个小题的下面,都给出了代号为A ,B ,C ,D 的四个答案,其中只有一个是正确的,请将正确答案的代号填入答题卷中对应的表格内.

1.抛物线2(1)2y x =---的顶点坐标是( )

A.(1,2)

B.(1,2)-

C.(1,2)-

D.(1,2)--

2.已知O 的半径为3cm ,若点O 到直线l 的距离为4cm ,则直线l 与O 的位置关系是( ) A.相交 B.相切 C.相离 D.不能确定

3.若反比例函数k

y x

=

的图象经过点(2,1)-,则该反比例函数的图像在( ) A.第一、二象限 B.第一、三象限 C.第二、四象限 D.第二、四象限 4.如图,在Rt ABC ?中,D 是AB 的中点,5,12BC AC ==,则sin DCA ∠的值为( ) A.

512 B.513 C.1312 D.1213

第4题图 第5题图 第6题图 5.如图,正比例函数11y k x =的图象与反比例函数2

2k y x

=

的图象相交于A 、B 两点,其中点A 的横坐标为2,当12y y >时,x 的取值范围是( )

A.22x x <->或

B.202x x <<<或 C .2002x x -<<<<或 D.202x x -<<>或 6.如图,,,A B C 是O 上三点,25ACB ?∠=,则BAO ∠的度数是( ) A.55? B.60?

C.65?

D.70?

7.设123(2,),(1,),(2,)A y B y C y -是抛物线2(1)3y x =-+-上的三点,则123,,y y y 的大小关系为( )

A.123y y y >>

B.132y y y >>

C.321y y y >>

D.312y y y >> 8.在同一坐标系中,一次函数2y mx n =-+与二次函数2y x m =+的图象可能是( )

D

C

B

A

A. B. C. D. 9.如图,圆O 是ABC ?的外接圆,AD 是圆O 的直径,若圆的半径为3

2

,AC =2,则sin B 的

值为( ) A.23 B.32 C.34 D.43

10.一次函数y kx b =+与反比例函数m

y x

=图象交于A ,B ,已知(2,1)A -,点B 的纵坐标为-2,根据图象信息可得关于x 的方程m

kx b x

+=

的解为( )

A.-2,2

B.-1,1

C.-2,1

D.无法确定

11.如图,Rt ABC ?中,2AC BC ==,正方形CDEF 的顶点D ,F 分别在AC ,BC 上,C ,D 两点不重合,设CD 的长度为x ,ABC ?与正方形CDEF 重叠部分的面积为y ,则下列图象中能表示y 与x 之间的函数关系的是( )

D .

A. B. C. D.

12.如图,A ,B 是双曲线k

y x

=

上的两点,过A 点作AC x ⊥轴,交OB 于D 点,垂足为C ,若ADO ?的面积为2,D 为OB 的中点,则k 的值为( ) A.83

B.16

3

C.6

D.8

二、填空题(本大题8个小题,每小题4分,共32分)请将每小题的答案直接填在答题卡中对应的横线上 13.

函数y =

的自变量的取值范围是 . 14.在数轴上,点A 所表示的实数为2,点B 所表示的数为-1,A 的半径为4,则点B 与A 的位置关系是 .

15.抛物线223y x mx =--+的对称轴是直线1x =则m 的值为 .

16.若将抛物线221y x x =+-的图象向上平移,使它经过点(0,3)所得新抛物线的解析式 为 .

17.如图,直线y x m =+和抛物线2

y x b x c =++都经过点(1,0)A ,(3,2)B ,不等式

2x bx c x m ++>+的解集为 .

18.已知,点A ,B 分别在反比例函数2

8(0)(0)y x y x x x

=>=->、的图象上,且OA OB ⊥,则tan B .

第17题图 第18题图

19.有五张正面分别标有数字2,0,1,2,3-的不透明卡片,它们除数字不同外其他全部相同,现将它们背面朝上,洗匀后从中任取一张,将卡片上的数字记为a ,则抽出的数字a 使双曲线2

a y x

-=

在第二、四象限,且使抛物线223y ax x =+-与x 轴有交点的概率为 . 20.如图在矩形ABCD 中,6,8AB AD ==,AE 平分BAC ∠交BC 于点E ,过B 作BF AE ⊥交AE 于点F ,将ABF ?沿AB 翻折得到ABG ?,将ABG ?绕点A 逆时针旋转角a ,

(其中0180a ?<

G

三、解答题

21.计算下列各式

⑴ tan 30sin 45tan 60cos 60???+???

⑵ 22sin 302sin 60tan 45tan 60cos 30?+?+?-?+?

22.如图,在△ABC 中,AD 是△ABC 的中线,1

tan 2

B =

,cos C =

,AC =,

求s i n A D C ∠的值.

23.已知二次函数图象经过点(3,0)A -,(0,3)B ,(2,5)C -,且另与x 轴交于点D . ⑴ 求二次函数的解析式;

⑵ 若P 为该二次函数的顶点,请求出△P AB 的面积.

24.如图,直线1y x =-+与y 轴交于点A ,与x 轴交于点D ,与反比例函数(0)k

y x x

=<的

图象交于点B ,过点B 作BC ⊥x 轴交于点C ,且CO =2AO ,直线DE ⊥x 轴,且DE =AO ,过点B 作BF ⊥BE 交x 轴于点F . ⑴ 求F 点的坐标;

⑵ 设P 为反比例函数(0)k

y x x

=<的图象上一点,过点P 作PQ ∥y 轴交直线1y x =-+于点

Q ,连接AP 、AQ .若2APQ S =△,求点Q 的坐标.

25.某商店经销A 、B 两种商品,按零售单价购买A 商品3件和B 商品2件,共需19元.两种商品的进货单价之和是5元;A 商品零售单价比进货单价多1元,B 商品零售单价比进货单价的2倍少1元.

⑴ 求A 、B 两种商品的进货单价各是多少元?

⑵ 该商店平均每天卖出A 商品50件和B 商品30件,经调查发现,A 、B 两种商品零售单价分别降0.1元,这两种商品每天可各多销售10件,为了使每天获得更大的利润,商店决定把A 、B 两种商品的零售单价都下降m 元.在不考虑其他因素的条件下,当m 定为多少时,才能使商店每天销售A 、B 两种商品获取的利润和最大,每天的最大利润是多少?

D

C

B

A

26.今年夏天我市出现厄尔尼诺现象极端天气,多地引发滑坡、山洪等严重自然灾害.如图所示,ON 为水平线,斜坡MN

的坡比为AB (树干AB 垂直于底面ON )被大风刮倾斜15?后折断倒在山坡上,树的顶部恰好接触到坡面,经测量,大树被折断部分与坡面所成的角30ADC ∠=?,AD =8米,15BAC ∠=?.

⑴ 求这棵大树原来的高度;

1.732≈.结果精确到0.1米) ⑵ 某高速路段由于滑坡,需要在一定时间内进行抢修,若甲队单独做正好按时完成,而乙队由于人少,单独做则超期3个小时才能完成.现甲乙两队合作2小时后,甲队又有新任务,余下的由乙队单独做,正好按期完成.求乙队单独完成全部工程需多少小时?

27.如图,抛物线2y x bx c =-++与x 轴交于点(5,0)A -,(1,0)B ,直线3

:34

l y x =

+与y 轴交于点C ,与x 轴交于点D . ⑴ 求抛物线的解析式;

⑵ 若点P 是x 轴上方抛物线上对称轴左侧一动点,过点P 分别作PE ∥x 轴交抛物线于点E ,作PF ⊥l 交于点F ,若PF =EP ,求点P 的坐标;

⑶ 如图,级抛物线顶点为G 点,连接CG 、DG ,设抛物线对称轴与直线CD 、x 轴的交点为N 、Q ,以AQ 、NQ 为边作矩形AQNM .现将矩形AQNM 沿直线GQ 平移得到矩形''''A Q N M ,设矩形''''A Q N M 与△CDG 的重叠部分面积为T ,当''35N CD N CO S S =△△时,求T 的值.

D

C

B

A

N

M

O

答案

一、选择题

二、填空题

三、解答题

21.⑴

; ⑵ 2

22.

sin ADC ∠=A 作AH ⊥BC )

23.⑴ 223y x x =--+; ⑵

3

S =

24.⑴

(6,0)F -

⑵ 若20x -<<时,设(,1)Q t t -+,则6(,)P t t

-,故61PQ t t

=-+-

∴1216

(1)()22(),1(1,2)2APQ

S

t t t t Q t

=?-+-?-=?==-?-△舍 若2x <-时,61PQ t t

=-++

∴16(1)()22APQ

S

t t t Q t =

?-+?-=?=?△ 25.⑴ A 商品进货单价为2元,B 商品的进货单价为3元 ⑵

2200220110A B W W W m m =+=-++

∴当0.55m =时,max

170.5W

=元

26.⑴ 延长BA 交ON 于点E ,过点A 作AH ⊥CD

4(116.6AB AC CD =+=≈米

⑵ 设乙队单独完成需要x 小时,则甲队单独完成需要x-3

小时

1111()2(32)93x x x x x

-+?=?--?=- 27. ⑴

245y x x =--+

⑵ 过点P 作x 轴的垂线交直线CD 于点G ,设2

(,45)P m m m --+

抛物线对称轴2x =-,故PE=4m --

24419

(2)554

PF PG m m ==--+

由PE=PF 得:(4,5)P - ⑶ 由题意得'132N CO

S

CO OQ =??=△,'1

='2'2

N CD S NN OD NN ??=△ 故可知5'2

NN =,则'(24)N -,

或'(2,1)N -- 当'(24)N -,时,23

12

T =

当'(2,1)N --时,0T =

2017年人教版七年级上册语文半期测试题

A 、他处心积虑的努力得的却是大家的一票否决,这对他实在是一个不小的打击。 B 、经过他的指点,我恍然大悟,心情轻松多了。 C 、花园里,花儿争奇斗艳,蝴蝶轻飞曼舞,鸟儿欢快唱歌,一片生机盎然的景象。 D 、机敏的公安人员根据现场的蛛丝马迹,很快找到了作案人的线索。 … … 七年级上册语文半期测试题 … … … … … … … … … … (总分:120 分;时间:120 分钟) … … … … … … 题序 一 二 三 成绩 … … … … … … 成绩 … … … … … 题 … … … 一、积累与运用(30 分) … … … … … 答 … … … … … 1、下列词语中加线字注音完全正确的一组是( )(3 分) A 、酝酿(liáng) 黄晕(yùn) 发髻(jì) 碣石(jié) … … … … B 、棱镜(líng) 粗犷(guǎng) 嘹亮(liáo) 贮蓄(hù) … … … 能 … … … C 、卖弄(lòng) 池畦(qí) 莅临(lì) 草垛(duǒ) … … … … D 、花苞(bāo) 竦峙(sǒng) 窠巢(cháo) 静谧(mì) … … … 不 … … … 2.选出下列词语中没有错别字的一项是( )(3 分) … … … … 内 … … … … A 、分歧 瘫痪 憔悴 不可抗距 B 、酝酿 突兀 欹斜 惊慌失措 C 、废墟 派遣 极端 美不盛收 D 、自卑 贪婪 倜傥 饥肠漉漉 … … … … 3、下列成语使用不当的一项是( )(3 分) … … … … … … 线 封 … … … … … … .... .... … … … … .... … … … … 密 … … … … .... 4、下列句子没有语病的一项是( )(3 分) … … … … … … … … … … A 、不会用心观察,能不能重视积累,是能否提高写作水平的关键。 B 、他的语文成绩不仅在全校很突出,而且在我班也名列前茅。 … … … … … … C 、通过这次“社会主义核心价值观”作文大赛,使他对写作的信心增强了。 … … … … D 、七年级三班的语文成绩是全年级最好的一个班级。 … … … … 5、依次填入下面横线处的句子,与上下文衔接最恰当的一组是( )(3 分) … … 我独坐在书斋中,忘记了尘世间一切不愉快的事情,怡然自得,以世界之广,宇宙之大, 此时却仿佛只有我和我的书友存在。________,__________,__________,___________。

初三英语期中考试模拟试题

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重庆主城区38所重点小学

目录 1、重庆市人和街小学1 2、重庆市巴蜀小学 3 3、重庆市人民小学 4 4、重庆市渝中区中华路小学 4 5、重庆市渝中区中四路小学 5 6、重庆市渝中区两路口小学 5 7、重庆市渝中区鹅岭小学6 8、重庆市马家堡小学7 9、重庆市江北区华新实验小学7 10、重庆市江北区鲤鱼池小学8 11、重庆市江北区米亭子小学9 12、重庆市树人小学10 13、重庆市南开小学10 14、重庆市沙坪坝第一实验小学校11 15、重庆市沙坪坝小学12 16、重庆市沙坪坝小学融汇分校13 17、重庆市沙坪坝区育英小学14 18、重庆市沙坪坝区莲光小学15 21、重庆市沙坪坝区新桥小学16 22、重庆市沙坪坝区烈士墓小学校16 23、重庆市树人景瑞小学17 24、重庆市谢家湾小学18 25、重庆市九龙坡区石新路小学18 26、重庆市九龙坡区第一实验小学19 27、重庆铁路小学19 28、重庆市歇台子小学20 29、重庆市兰花小学20 30、重庆外国语学校森林小学21 31、重庆市天台岗小学(上海城校区)22 32、重庆市天台岗小学(花园校区)22 33、重庆市天台岗小学(南湖校区)23 34、重庆市珊瑚实验小学24 35、重庆市南岸区江南小学24 36、重庆市南坪实验小学25 37、重庆市南岸区珊瑚小学25 38、重庆南坪实验小学康德校区(原辅仁小学)26 1、重庆市人和街小学 简介: 重庆市渝中区公办市重点小学 重庆市人和街小学创建于1951年,原名重庆市实验小学,是重庆市的第一所实验小学,四川省首批办好的重点小学。学校先后获得“

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