2014年江苏徐州撷秀一模数学试卷

2014年江苏徐州撷秀一模数学试卷
2014年江苏徐州撷秀一模数学试卷

2013-2014年撷秀中学第一次模拟考试数学试题

一.选择题:(本大题共有8小题,每小题3分,共24分.) 1.6-的相反数是( )

A .6-

B .16-

C .1

6

D . 6 2.下列运算正确的是( )

A .23

6

(2)8a a -=- B .3362a a a += C .632a a a ÷= D .333

2a a a ?=

3.太阳的半径大约是696000千米,用科学记数法可表示为( )

A .696×103千米

B .69.6×104千米

C .6.96×105千米

D .6.96×106千米 4.在某次体育测试中,九年级(10)班6位同学的立定跳远成绩(单位:m )分别为:1.71,1.85, 1.85,1.96,2.10,2.31.则这组数据的众数和极差分别是( )

A .1.85和0.21

B .2.11和0.46

C .1.85和0.60 D. 2.31和0.60 5.直线a 与半径为r 的⊙O 相交,且点O 到直线a 的距离为6,则r 的取值范围是( ) A .r<6 B . r=6 C . r>6 D. r ≥6 6.若干桶方便面摆放在桌面上,它的三个视图如下,则这一堆方便面共有( ) A .7桶 B .8桶 C .9桶 D. 10桶

(第7题)

7.如图,AB ∥CD ,AD 平分∠BAC ,且∠C=80°,则∠D 的度数为( )

8.在平面直角坐标系中,将抛物线y =x 2-4先向右平移2个单位,再向上平移2个单位,得到的 抛物线解析式为 ( )

A .y =(x +2)2+2

B .y =(x -2)2-2

C .y =(x -2)2+2

D .y =(x +2)2-2

二、填空题:(本大题共10小题,每小题3分,共30分) 9. 分解因式:3

4a a -= . 10.函数2y x =

-中自变量x 的取值范围是 .

11.若将三个数3-,7,11表示在数轴上,其中能被如图所示的墨迹覆盖的数是__________. 12.某校对甲、乙两名跳高运动员的近期调高成绩进行统计分析,结果如下:=1.69m ,=1.69m ,

S 2

甲=0.0006,S 2

乙=0.00315,则这两名运动员中 的成绩更稳定. 13.若a ﹣2b=3,则2a ﹣4b ﹣5= .

A . 50°

B . 60°

C . 70°

D .

100°

(第11题)

0 ?1 ?2 1 2 3

4 5

(第6题)

主视图 左视图 俯视图

14.若函数2

21y mx x =++的图象与x 轴有两个公共点,则常数m 的取值范围是 . 15.如图,已知AB 是⊙O 的直径,点C ,D 在⊙O 上,∠ABC =50°,则∠D= °. 16.如图,直角三角形纸片ABC 的∠C 为90°,将三角形纸片沿着图示的中位线DE 剪开,然后把 剪开的两部分重新拼接成不重叠的图形,下列选项中不能拼出的图形是 (只填序号) (①平行四边形 ②矩形 ③等腰梯形 ④直角梯形)

(第16题)

17.如图矩形ABCD 中,AB =1,AD

=2,以AD 的长为半径的⊙A 交BC 于点E ,则图中阴影部分 的面积为___________.

18.如图,边长为1的菱形ABCD 中,60DAB ∠=°,则菱形ABCD 的面积是 ,连结对角线AC ,以AC 为边作第二个菱形11ACC D ,使160D AC ∠=°;连结1AC ,再以1AC 为边作第三个菱形122AC C D ,使2160D AC ∠=°;……,按此规律所作的第n 个菱形的面积为 .

三、解答题:(本大题共10小题,共86分)

19.(本题10分)(1)计算:-12+2sin60°+(13)-

1 (2)化简:11()a a a a

--÷

20.(本题10分)(1)解方程:141

43=----x

x x

2)解不等式组:253(2) 31 5 x x x +≤+??-

② 并把解集在数轴上表示出来.

21.(本题满分7分)校园手机”现象越来越受到社会的关注.“五一”期间,小记者刘凯随机调 查了城区若干名学生和家长对中学生带手机现象的看法,统计整理并制作了如下的统计图: (1)求这次调查的家长人数,并补全图①; (2)求图②中表示家长“赞成”的圆心角的度数;

(3)从这次接受调查的学生中,随机抽查一个,恰好是“无所谓”态度的学生的百分比是多少?

12345

-1

-2

(第17题) A

B

C

D

E (第15题) O

D

C

B

A

C 1

D

D

C 2

D C

A B

18题 (第18题)

22.(本题满分7分)有三部不同的电影,分别记为A ,B ,C .

(1)若甲从中随机选择一部观看,则恰好是电影A 的概率是 ;

(2)若甲从中随机选择一部观看,乙也从中随机选择一部观看,求甲、乙两人选择同一部电影 的概率.(请用“列表”或“画树状图”的方法求解)

23.(本题满分8分)某种新产品进价是120元,在试销阶段发现产品的日销量 y (件)与每件售价 x (元)始终存在下表中的一次函数关系:

(1)请你根据下表所给数据求出日销量y (件)与每件售价x (元)之间的关系.

(2)在不改变上述关系的情况下,请你帮助商场经理策划每件商品定价为多少元时,每日盈利可 达到1 600元?

24.(本题满分8分)如图,在平面直角坐标系xOy 中,函数()4

0y x x

=

>的图象与一次函数y kx k =-的图象的交点为()2A m ,. (1)求一次函数的解析式;

(2)设一次函数y kx k =-的图象与y 轴交于点B ,若P 是x 轴上一点,

且 满足PAB △的面积是4,直接写出点P 的坐标.

25.(本题满分8分)如图,在梯形ABCD 中,AD //BC ,E 是BC 的中点,AD =5,BC =12,CD =42, ∠C =45°,点P 是BC 边上一动点,设PB 的长为x .

(1)当x 的值为____________时,以点P 、A 、D 、E 为顶点的四边形为平行四边形; (2)点P 在BC 边上运动的过程中,以P 、A 、D 、E 为顶点的四边形能否构成菱形?说明理由.

每件售价x(元)

… 130 150 165 …

每日销售量y (件) (70)

50

35

学生及家长对中学生带手机的态度统计图

家长

学生无所谓

反对

赞成

3080

3040140

类别

人数

28021014070

家长对中学生带手机的态 度统计图

20%

反对

无所谓赞成

图① 图② A D

B P

E C

26.(本题满分8分)A 、B 两市相距150千米,分别从A 、B 处测得国家级风景区中心C 处的方位 角如图所示,风景区区域是以C 为圆心,45千米为半径的圆,α=60°,β=45°.为了开发旅游, 有关部门设计修建连接AB 两市的高速公路.问连接AB 的高速公路是否穿过风景区,说明理由. (取3≈1.732 ,2≈1.414)

27.(本题满分10分)在△ABC 中,D 为AB 边上一动点(不与点A 、点B 重合),过点D 作DE ∥BC

交AC 于点E ,以DE 为折线,将△ADE 翻折,设所得的△A’DE 与梯形DBCE 重叠部分的面积 为y.

(1) 如图(甲),若∠C=90°,AB=10,BC=6,

3

1

AB AD ,则y 的值为 ; (2) 如图(乙),若AB=AC=10,BC=12,D 为AB 中点,则y 的值为 ; (3) 若∠B=30°,AB=10,BC=12,设AD=x. 求y 与x 的函数解析式;

图(甲) 图(乙) 备用图

28.(本题满分10分)如图,二次函数的图象与x 轴相交于点A (﹣3,0)、B (﹣1,0),与y 轴相 交于点C (0,3),点P 是该图象上的动点;一次函数y=kx ﹣4k (k ≠0)的图象过点P 交x 轴于 点Q .

(1)求该二次函数的解析式;

(2)当点P 的坐标为(﹣4,m )时,求证:∠OPC=∠AQC ;

(3)点M ,N 分别在线段AQ 、CQ 上,点M 以每秒3个单位长度的速度从点A 向点Q 运动,同时, 点N 以每秒1个单位长度的速度从点C 向点Q 运动,当点M ,N 中有一点到达Q 点时,两点 同时停止运动,设运动时间为t 秒. 连接AN ,当△AMN 的面积最大时, 求t 的值;

A'

E

D

B

A

C

A'

E

D

C

A

B A'

E

C

B

A

D

2014年 数学答案卷

(满分140分,考试时间120分钟)

一、选择题 (每题3分,共24分)

二、填空题 (每题3分,共30分)

9、 10、 11、 12、

13、 14、 15、 16、

17、 18、

三、解答题 (本大题共10小题,共86分)

19.(本题10分)(1)-12+2sin60°+(13)-

1 (2)化简:11()a a a a --÷

20.(本题10分)(1)解方程:141

43=----x

x x

(2)解不等式组:253(2) 31 5 x x x +≤+??-

② 并把解集在数轴上表示出来.

题号 1 2 3 4 5 6 7 8

答案

12345

-1

-2

22.(本题7分)

(1) ; (2)

23.(本题8分)

24.(本题8分)

学生及家长对中学生带手机的态度统计

家长

学生无所谓

反对

赞成

30

80

3040140

类别

人数

28021014070

家长对中学生带手机的态

度统计图

20%

反对

无所谓

赞成

图① 图②

(1)____________ (2)

26.(本题8分)

27.(本题10分) (1) ;

(2) ;

图(甲) 图(乙) 备用图

A

D

B P E C

A'

E

D

B

A

C

A'

E

D

C

A

B

A'

E

C

B

A

D

2020届常州一模数学试卷及答案

2020届常州一模数学试卷 (满分160分,考试时间120分钟) 参考公式:棱锥的体积V =1 3 Sh ,其中S 是棱锥的底面积,h 是高. 一、 填空题:本大题共14小题,每小题5分,共计70分. 1. 已知集合A ={-1,0,1},B ={x|x 2>0},则A ∩B =________. 2. 若复数z 满足z·i =1-i(i 是虚数单位),则z 的实部为________. 3. 右图是一个算法的流程图,则输出的S 的值是________. 4. 函数y =2x -1的定义域是________. 5. 已知一组数据17,18,19,20,21,则该组数据的方差是________. 6. 某校开设5门不同的选修课程,其中3门理科类和2门文科类,某同学从中任选2门课程学习,则该同学“选到文科类选修课程”的概率为________. 7. 已知函数f(x)=?? ? 1 x -1 ,x ≤0,-x 23 , x>0, 则f(f(8))=________. 8. 函数y =3sin ????2x +π 3,x ∈[0,π]取得最大值时自变量x 的值为________. 9. 在等比数列{a n }中,若a 1=1,4a 2,2a 3,a 4成等差数列,则a 1a 7=________. 10. 已知cos ??? ?π2-αcosα =2,则tan2α=________. 11. 在平面直角坐标系xOy 中,双曲线C :x 2a 2-y 2 b 2=1(a>0,b>0)的右顶点为A ,过A 作 x 轴的垂线与C 的一条渐近线交于点B ,若OB =2a ,则C 的离心率为________. 12. 已知函数f(x)=|lg(x -2)|,互不相等的实数a ,b 满足f(a)=f(b),则a +4b 的最小值为________. 13. 在平面直角坐标系xOy 中,圆C :x 2-2ax +y 2-2ay +2a 2-1=0上存在点P 到点(0,1)的距离为2,则实数a 的取值范围是________.

2014年高考真题——英语(江苏卷)解析版含解析(单选和作文)

2014江苏高考英语卷答案解析 21.Lessons can be learned to face the future, history cannot be changed. A.though B. as C. since D. unless 21.A. 本题考察连词用法。根据句意结合常识来判断,A选项更合理:“尽管历史无法改变,教训却能够被吸取来面对未来。”B选项也有尽管的意思,但用于“n/adj/adv+as+主谓”结构中。C选项是最大干扰项,“既然,由于”。似乎说得通,但是题干前后两句并非因果关系。D选项相当于if not. 22.The book has helped me greatly in my daily communication, especially at work a good impression is a must. A. which B.when C.as D. where 22. D. 本题考察定语从句关系词的用法。其解题的突破口是先行词的判断及句子成分的分析。本题先行词为work,可以理解为抽象的地点;而从句部分不缺主语也不缺宾语,因此可以排除关系代词,而选择可以做状语的关系副词where. 句意为“这本书在日常交际中给予我很大的帮助,尤其是在第一印象至关重要的工作中。” 23.---How much do you know about the Youth Olympic Games to be held in Nanjing? --- Well, the media it in a variety of forms. A.cover B. will cover C.have covered D.covered 23. C. 本题考察时态的用法。“你了解将在南京举行的青奥会么?”“各大媒体已进行了全方位的报道。” 24.Tom always goes jogging in the morning and he usually does push-ups too to stay . A.in place B.in order C.in shape D.in fashion 24.C. 本题考察介词短语。A.就位,到位。B.井然有序。C.保持体形 D. 流行。根据句意,“Tom坚持早上跑步并且还常常做俯卧撑来维持体形.” 25. Top graduates from universities are ______ by major companies. A. chased B. registered C. offered D. compensate 25.A. 本题考察动词词汇量。A.追逐,追求。B.注册,登记。C.提供,常接双宾语。D.赔偿,补偿。根据句意可知,高才生受到各大公司的青睐,成为争相录用的对象。 26.---What a mess! You are always so lazy! ---I’m not to blame, mum, I am you have made me. A.how B.what C.that D.who 26.B.本题考察名词性从句。“这么乱!你总是这么懒!”“妈妈,要怪也不应当怪我啊。我这么懒也是你娇惯出来的。”言外之意是,“You made me what I am.” 27.She was put under house arrest two years ago but remained powerful in the last year’s election. A.symbol B.portrait C.identity D.statue 27.A. 她两年前被软禁,但是在去年的选举中仍然是势力强大的代表人物。本题考察名词词汇量。A. 象征,代表。B.肖像C.身份。 D. 雕像,塑像。 28.The idea “happiness”, , will not sit still for easy definition. A.to be rigid B.to be sure C.to be perfect D.to be fair 28.B.本题考察不定式做插入语的常见短语。A.刻板地,僵硬地。B. 毫无疑问,可以肯定地说。C. 为了完美。D.公平地说。根据句意“幸福的概念,可以肯定地说,并非一成不变,因此很难定义什么是幸福。” 29.The lecture , a lively question-and-answer session followed. A.being given B.having given C.to be given D.having been given 29. D. 本题考察非谓语动词的用法。根据后半句“热闹的问答环节紧随其后”可知,前半句说的是“一场讲座结束了”。两件事情先后发生,并且有明确的先后关系,先发生的一般用现在分词的完成式做状语,又因为是被动,所以应该是having been given. 30. ---Dad, I don’t think he is the right sort of person for the job. ---I see. I’ll go right away and . A.pay him back B.pay him off C.put him away D.put him off

2014年上海中考数学一模各区18、24、25整理试题及答案

18.已知梯形ABCD 中,AD ∥BC ,AB =15,CD=13,AD =8,∠B 是锐角,∠B 的正弦值为45 ,那么BC 的长为___________ 24.如图,抛物线22y ax ax b =-+经过点C (0,32 - ), 且与x 轴交于点A 、点B ,若tan ∠ACO =23 . (1)求此抛物线的解析式; (2)若抛物线的顶点为M ,点P 是线段OB 上一动点 (不与点B 重合),∠MPQ=45°,射线PQ 与线段BM 交于点Q ,当△MPQ 为等腰三角形时,求点P 的坐标. 25.(本题满分14分,其中第(1)小题5分,第(2)小题7分,第(3)小题2分) 如图,在正方形ABCD 中,AB =2,点P 是边BC 上的任 意一点,E 是BC 延长线上一点,联结AP 作PF ⊥AP 交 ∠DCE 的平分线CF 上一点F ,联结AF 交直线CD 于点G . (1) 求证:AP=PF ; (2) 设点P 到点B 的距离为x ,线段DG 的长为y , 试求y 与x 的函数关系式,并写出自变量x 的取值范围; (3) 当点P 是线段BC 延长线上一动点,那么(2)式中y 与x 的 函数关系式保持不变吗?如改变,试直接写出函数关系式. (第24题) A B C D F G P (第25题) E

18.在Rt△ABC中,∠C=90°, 3 cos 5 B=,把这个直角三角形绕顶点C旋转后得到 Rt△A'B'C,其中点B' 正好落在AB上,A'B'与AC相交于点D,那么B D CD ' =. 24.(本题满分12分,每小题各4分) 已知,二次函数2 y=ax+bx的图像经过点(5,0) A-和点B,其中点B在第一象限,且OA=OB,cot∠BAO=2. (1)求点B的坐标; (2)求二次函数的解析式; (3)过点B作直线BC平行于x轴,直 线BC与二次函数图像的另一个交点 为C,联结AC,如果点P在x轴上, 且△ABC和△P AB相似,求点P的坐标. 第18题图

2013-2014 南京英语高三 三模 D篇

2014南京三模D In winter Hammerfest is a thirty-hour ride by bus from Oslo, though why anyone would want to go there in winter is a question worth considering. I wanted to see the Northern Lights. Also, I had long harboured a half-formed urge to experience what life was like in such a remote and forbidding place. Sitting at home in England with a glass of whisky and a book of maps, this had seemed an excellent idea. But now as I picked myway through the grey, late-December slush(融雪)of Oslo I was beginning to have my doubts. Things had not started well. I had overslept at the hotel, missing breakfast, and had to leap into my clothes. I couldn't find a cab and had to drag my unreasonably overweighted bag eight blocks through slush to the central bus station. I had had huge difficulty persuading the staff at the Kreditkassen Bank on Karl Johans Gate to cash sufficient traveller's cheques to pay the overcharged 1,200-kroner bus fare-they simply could not be made to grasp that the William McGuire Bryson on my passport and the Bill Bryson on my traveller's cheques were both me-and now here I was arriving at the station two minutes before departure, breathless and steaming from the endless uphill exertion(费力)that is my life, and the girl at the ticket counter was telling me that she had no record of my reservation. "This isn't happening," I said. "I'm still at home in England enjoying Christmas.Pass me a drop more port, will you, darling?" Actually, I said, "There must be some mistake. Please look again." The girl studied the passenger list. "No, Mr Bryson, your name is not here·” But I could see it, even upside-down. "There it is, second from the bottom.” "No," the girl decided, "th at says Bemt Bjornson. That's a Norwegian name·” "It doesn't say Bernt Bjornson. It says Bill Bryson. Look at the loop(圆圈)of the 'y', the two ‘I's. Miss, please." But she wouldn't have it. "If I miss this bus when does the next one go?" "Next week at the same time.” Oh, splendid. "Miss, believe me, it says Bill Bryson." "No, it doesn't." "Miss, look, I've come from England. I'm carrying some medicine that could save a child's life.”She didn't buy this. "I want to see the manager." "He's in Stavanger.” "Sure.”

【精准解析】江苏省南京市2020届高三年级第三次模拟考试英语试题 Word版解析2020.6

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