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2015-2016学年广东省广州市高二学业水平测试(12月)数
学试题
2015年12月24日
一、 选择题:本大题共10小题,每小题5分.
1.已知集合M={-1,0,1},Nx|x2x,则MÇN=()
A.{1} B.{0,1} C.{-1,0} D.{-1,0,1}
2.已知等比数列{an}的公比为2,则a4值为() a2
A.
11 B. C. 2 D.4 42
3.直线l过点(1,-2),且与直线2x+3y-1=0垂直,则l的方程是()
A.2x+3y+4=0 B.2x+3y-8=0 C.3x-2y-7=0 D.3x-2y-1=0
æ1ö4.函数f(x)=ç÷-x+2的零点所在的一个区间是() è2ø
A.(-1,0) B.(0,1) C.(1,2) D.(2,3)
5.已知非零向量与
6.要完成下列两项调查:(1)某社区有100户高收入家庭,210户中等收入家庭,90户低收入家庭,从中抽取100户调查消费购买力的某项指标;(2)从某中学高二年级的10名体育特长生中抽取3人调查学习负担情况,应采取的抽样方法是()
A.(1)用系统抽样法,(2)用简单随机抽样法
B.(1)用分层抽样法,(2)用系统抽样法
C.(1)用分层抽样法,(2)用简单随机抽样法
D.(1)(2)都用分层抽样法
的方向相同,下列等式成立的是()
x
x10,7.设x,y满足约束条件y2x0,,则z=x-y的最大值为()
xy30,
A. 3 B.1 C.1 D.5
8.某几何体的三视图及其尺寸图,则该几何体的体积为()
A. 6 B. 9 C. 12 D. 18
9.函数f(x)=æpö1-cos2ç-x÷的单调增区间是() è4ø2
A. ê2kp-é
ëppù,2kp+ú,kÎZ B. 22û
,kp+ép3pù2kp+,2kp+êú,kÎZ ë22ûC. êkp+é
ëp4é3pùppù D. ,kÎZkp-,kp+,kÎZ úêúë4û44û
10.设a>1,b>2且ab=2a+b则a+b的最小值为()
A.22 B.2+1 C.2+2 D.22+3
二、填空题:本大题共4小题,每小题5分,满分20分。
11.不等式x2-3x+2<0的解集是__________.
12.已知角q的顶点与原点重合,始边与x轴的正半轴重合,终边为射线:y=-x(x£0),则cosq的值是__________.
13.执行如图所示的程序框图,若输入x1,则输出y的值是
__________。
14.若函数f(x)=loga(x+m)+1(a>0且a¹1)恒过定点(2,n),则m+n的值为__________.
15、在ABC中,角A,B,C的对边分别是a,b,c,且a10,b8,A60.
(1)求sinB的值;
(2)求cosC的值.
16、甲,乙两组各4名同学参加学校组织的“抗日战争历史知识知多少”抢答比赛,他们答对的题目个数用茎叶图表示,如图,中间一列的数字表示答对题目个数的十位数,两边的数字表示答对题目个数的个位数.
(1)求甲组同学答对题目个数的平均数和方差;
(2)分别从甲,乙两组中各抽取一名同学,求这两名同学答对题目个数之和为20的概率.
17、设Sn为数列an的前n项和,且Snn2n1,nN*.
(1)求数列an的通项公式;
(2)求数列
1的前n项和Tn. anan1
18、如图,在三棱锥PABC中,PAPC5,PB4,ABBC23,ACB30.
(1)求证:ACPB;
(2)求三棱锥PABC的体积.
3,点R19、已知圆C的圆心为点C0,
于P,Q两点,点M是线段PQ的中点.
(1)求圆C的方程; 0且与圆C相交,2在圆C上,直线过点A1,
(2)若9,求直线的方程.
20、已知点A,B是函数y2xx1,1图像上的两个动点,AB//x轴,点B在y轴的右侧,点M1,mm2是线段BC的中点.
(1)设点B的横坐标为a,ABC的面积为S,求S关于a的函数解析式Sfa;
m2
(2)若(1)中的fa满足fa2mk1对所有a0,1,m4,恒成立,6
求实数k的取值范围.
2015学年度广州市高中二年级学生学业水平测试答案
二、 选择题:本大题共10小题,每小题5分。
1. 【答案】B
【解析】N:xx0xx10N0,1,\MÇN={0,1}.3+4+c=0 2
2. 【答案】D
【解析】a42=q=4 a2
3. 【答案】C
【解析】设直线l:3x2yc0因为(1,-2)在直线上,代点到直线方程得:
c7
4. 【答案】D
1【解析】f2f32
5. 【答案】A
6. 【答案】C
7. 【答案】B 213113210 248
【解析】y=x-z,作l0:y=x,当l0移至l1,l2两直线交点H时截距z最小,即z最大,
H(1,2),zmax=-1+2=1
8.【答案】A 【解析】VSABCD11SABCDSB233
6 33
9.【答案】C
2016年广东省普通高考术科统考成绩查询方式
一、96040电话查询方式
中国电信固话、CDMA手机、联通及铁通固话用户,只需拨通96040(全省各地均可直拨,无需加区号)按语音提示输入准考证号(考生号,下同)及出生年月,即可查询到高考艺术类术科考试成绩。考生也可提前拨打96040按语音提示进行短信通知预定,下发短信免费。
二、短信查询方式
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(三)广东地区的中国联通用户编写短信“122+准考证号+4位出生年月”发送至10629500即可预定或查询成绩。
三、网络查询方式
考生可登录广东考试服务网进行查询。
2015-2016学年度广州市高中二年级学生学业水平测试
选择题:本大题共10小题,每小题5分.
1.已知集合M={-1,0,1},Nx|x2x,则MÇN=()
A.{1} B.{0,1} C.{-1,0} D.{-1,0,1}
2.已知等比数列{an}的公比为2,则a4值为() a2
A.
11 B. C. 2 D.4 42
3.直线l过点(1,-2),且与直线2x+3y-1=0垂直,则l的方程是()
A.2x+3y+4=0 B.2x+3y-8=0 C.3x-2y-7=0 D.3x-2y-1=0
æ1ö4.函数f(x)=ç÷-x+2的零点所在的一个区间是() è2ø
A.(-1,0) B.(0,1) C.(1,2) D.(2,3)
5.已知非零向量与的方向相同,下列等式成立的是()
6.要完成下列两项调查:(1)某社区有100户高收入家庭,210户中等收入家庭,90户低收入家庭,从中抽取100户调查消费购买力的某项指标;(2)从某中学高二年级的10名体育特长生中抽取3人调查学习负担情况,应采取的抽样方法是()
A.(1)用系统抽样法,(2)用简单随机抽样法
B.(1)用分层抽样法,(2)用系统抽样法
C.(1)用分层抽样法,(2)用简单随机抽样法
x
D.(1)(2)都用分层抽样法
7.设x,y满足约束条件x10,
y2x0,,则z=x-y的最大值为()
xy30,
A. 3 B.1 C.1 D.5
8.某几何体的三视图及其尺寸图,则该几何体的体积为()
A. 6 B. 9 C. 12 D. 18
9.函数f(x)=12-cos2æçpè4-xö÷ø的单调增区间是()
A. êé2kppùé
ëp-2,2kp+2úû,kÎZ B. êp3pù
ë2kp+2,2kp+2úû,kÎZ
C. êépëkp+4,kp+3pù
4úû,kÎZ D. éêëkp-p4,kp+pù
4úû,kÎZ
10.设a>1,b>2且ab=2a+b则a+b的最小值为()
A.22 B.2+1 C.22+2 D.2+3
二、填空题:本大题共4小题,每小题5分,满分20分。
11.不等式x2-3x+2<0的解集是__________.
12.已知角q的顶点与原点重合,始边与x轴的正半轴重合,终边为射线l:y=-x(x则cosq的值是__________.
0),£
13.执行如图所示的程序框图,若输入x1,则输出y的值是__________
。
14.若函数f(x)=loga(x+m)+1(a>0且a¹1)恒过定点(2,n),则m+n的值为__________.
15、在ABC中,角A,B,C的对边分别是a,b,c,且a10,b8,A60.
(1)求sinB的值;
(2)求cosC的值.
16、甲,乙两组各4名同学参加学校组织的“抗日战争历史知识知多少”抢答比赛,他们答对的题目个数用茎叶图表示,如图,中间一列的数字表示答对题目个数的十位数,两边的数字表示答对题目个数的个位数.
(1)求甲组同学答对题目个数的平均数和方差;
(2)分别从甲,乙两组中各抽取一名同学,求这两名同学答对题目个数之和为20的概率.
17、设Sn为数列an的前n项和,且Snn2n1,nN*.
(1)求数列an的通项公式;
(2)求数列
18、如图,在三棱锥PABC中,PAPC5,PB4,ABBC23,ACB30.
(1)求证:ACPB;
(2)求三棱锥PABC的体积.
1的前n项和Tn. anan1
3,点R,2在圆C上,直线l过点A1,0且与圆C相交于19、已知圆C的圆心为点C0,
P,Q两点,点M是线段PQ的中点.
(1)求圆C的方程;
(2)若9,求直线l的方程.
20、已知点A,B是函数y2xx1,1图像上的两个动点,AB//x轴,点B在y轴的右侧,点M1,mm2是线段BC的中点.
(1)设点B的横坐标为a,ABC的面积为S,求S关于a的函数解析式Sfa;
m2
2mk1对所有a0,1,m4,恒成立,(2)若(1)中的fa满足fa6
求实数k的取值范围.
2015学年度广州市高中二年级学生学业水平测试答案
一、 选择题:本大题共10小题,每小题5分。
1. 【答案】B
【解析】N:xx0xx10N0,1,\MÇN={0,1}.3+4+c=0 2
2. 【答案】D
【解析】a42=q=4 a2
3. 【答案】C
【解析】设直线l:3x2yc0因为(1,-2)在直线上,代点到直线方程得:
c7
广州市2015-2016学年高二学业水平测试
英语试题 2015.12
I 听力(共两节,满分20分)
第一节听力理解(4段共10小题,每小题1.5分,满分15分)
每段播放两遍。各段后有几个小题,各段播放前每小题有5秒钟的阅题时间。请根据各 段播放内容及其相关小题,在5秒钟内从题中所给的A、B、C项中,选出最佳选项,并在 答题卡上将该项涂黑。
听下面段对话,回答第l一2题。
1.Who are the speakers waiting for?
A .May
B .May’s Parents.
C .May’s teachers
2.What drinks will the speakers order?
A .Lemon tea,green tea and coffee.
B .Green tea,coffee and orange juice.
C .Lemon tea,green tea and orange juice·
听下面一段对话,回答第3一5题。
3·What was the man doing before he spoke with the woman?
A·Talking on the phone·
B·Readingthe newspaper·
C·Walking tothe university·
4·How mueh does the man pay for his room now each week?
A.$40 B.$80 C.$120.
5 .What does the man NoT like about the new room?
A.The location.B.The noise.C. The size.
听下面一段对话,回答第6-8题。
6·Why is the man nervous?
A.He will meet the woma’s Parents for the first time·
B·He doesn’t have any good clothes to wear.
C .He thinks they will be late·
7 .Wllat shirt does the man finally choose?
A.A red one.B.A blue one.C.A green one·
8 .How will they go to the restaurant?
A.By taxi B.By bus C.On foot.
听下面一段对话,回答第9-10题。
9、
What is the talk mainly about?
10.What is the biggest difficulty leaders have?
第二节 听取信息(5分)
II 语言知识及应用(共两节,满分45分)【2016广东高二水平测试成绩查询】
第一节 完形填空(共15小题,每小题2分,满分30分)
阅读下面短文,掌握其大意,然后从16~30各题所给的A、B、C和D项中,选
出最佳选项,并在答题卡上将该项涂黑。
At Star Electronics, we are making English our working language. Not only in
business _____16_____ with our international partners, but also for daily communication amongst our own employees. We’re having great _____17_____ with our efforts. Even newspapers are writing about it.
Introducing English as the working language is a challenge for a Chinese company
like us, but it’s something we are _____18_____ to achieve. “Englishization” is, in my opinion, not just important for Star Electronics, but something that should be introduced throughout China, to improve our _____19_____ attractiveness. Other Chinese companies have the same idea and are _____20_____. This week, one of our localcompetitors announced that _____21_____ will become its business language too.
Let’s look at a success story in Asia. I believe Singapore is so economically
_____22_____ because English is one of its official languages. It is a policy that allows it to _____23_____ and employ the best workers from all over the world.
At Star Electronics, we have already seen the _____24_____ of Englishization. In
April, the average score in our company’s English test was 85%, which _____25_____ our employees have very high English levels. This is _____26_____ for our company’s
communication as 10% of employees in our Guangzhou offices are foreign nationals. Within our engineering department, the numbers are even _____27_____; about 70% of our new【2016广东高二水平测试成绩查询】
employees come from outside China. And we are attracting graduates of the best foreign _____28_____ such as Harvard, Cambridge and Tokyo Universities.
Englishization has not been an easy _____29_____ for Star Electronics but we are
already seeing the positive effect—our ability to attract and keep talented people from around the world. This is a process any company, or country, can _____30_____ in order to have global business success.
16.A. meetings B. articles C. departments D. websites
17.A. problems B. followers C. weakness D. success
18.A. pleased B. determined C. allowed D. surprised
19.A. physica lB. cultural C. international D. final
20.A. dying out B. catching up C. breaking down D. setting off
21.A. English B. Chinese C. Japanese D. Korean
22.A. helpful B. delightful C. powerful D. careful【2016广东高二水平测试成绩查询】
23.A. attract B. replace C. test D. stop
24.A. interests B. dangers C. disadvantages D. benefits
25.A. decides B. records C. shows D. sees
26.A. unexpected B. important C. fine D. impossible
27.A. lowe rB. higher C. harder D. stranger
28.A. companies B. organizations C. universities D. offices
29.A. process B. story C. agreement D. contribution
30.A. ignore B. fight C. remov eD. copy
第二节 语法填空(共10小题,每小题1.5分,满分15分)
阅读下面短文,按照句子结构的语法性和上下文连贯的要求,在空格处填入一个适当的词或使用括号中词语的正确形式填空,并将答案填写在答题卡标号为31-40的相应位置上。
Having free time to play and enjoy hobbies and interests is important. It’s also good _____31_____ people’s health. People need time away from the pressuresof study orwork _____32_____ (relax) with friends and family.
In different countries and cultures around the world, free time _____33_____
(spend) in different ways. A survey showed that reading was the _____34_____ (popular) spare-time activity in the United States. This was followed by watching TV, and then spending time with family. In a U.K. survey on leisure-time activities, the pastime
_____35_____ was enjoyed by most people was watching DVDs. Listening to the radio came second. In _____36_____ similar survey conducted in Japan, the favourite free-time activity was eating out.
There were also _____37_____ (different) between the three countries in terms of
outdoor activities. For Americans, gardening was the No.1 outdoor activity. In the U.K., it was _____38_____ (go) to the pub, and gardening ranked ninth.followed by visiting the cinema. In Japan, going to bars and pubs ranked _____39_____ (eight) in popularity,
People around the world all enjoy doinglots of things in their free time,
_____40_____ the evidence suggests that what they like is very different.
III阅读理解(共两节,满分40分)
第一节阅读理解(共16小题,每小题2分,满分32分)
阅读下列短文,从每题所给的A、B、C和D项中,选出最佳选项,并在答题卡上将该项涂黑。
A
BBC TV Guide –Tonight
[M-Movie; S-Series; R-Repeat (programme previously shown); P-Premier (1sttime on
TV)]
41. A personwanting local weather information should watch __________.
A. BBC1 at 20.25B. BBC1 at 21.00
C. BBC2 at 19.00D. BBC4 at 19.00
42. Which of the following is true about tonight’s programmeTop Gear?
A. It is the most popular show.B. It has been shown before.
C. It is broadcast on BBC4.D. It is 60 minutes long.
43. What’s the show Springwatchabout?
A. UK lakes and rivers.B. How birds catch food.
C. The springtime inBritain.D. The life of fish.
44. Someoneinterested in gardens should watch __________.
A. Hidcote: For All SeasonsB. Escape to the Country
C. Born to be WildD. Springwatch
B
You are made of 73 percent water. You have 206 bones. There are about 60
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