大庆实验中学第十周周检测-推理与证明正式

第一篇：大庆实验中学第十周周检测-推理与证明正式

周周检测（文科卷）

考试日期：５月４日 满分100分命题人：侯典峰 审题人：侯典峰 何本胜

一.选择题：

1.如果数列an是等差数列，则 A.a1a8a4a5

B.a1a8a4a5 C.a1a8a4a5

D.a1a8a4a5

2．由直线与圆相切时，圆心到切点连线与直线垂直，想到平面与球相切时，球心与切点连线与平面垂直，用的是（）

Ａ．归纳推理Ｂ．演绎推理Ｃ．类比推理Ｄ．特殊推理 3．用演绎法证明函数yx3是增函数时的大前提是

Ａ．增函数的定义Ｂ．函数yx3满足增函数的定义 Ｃ．若x1x2，则f(x1)f(x2)Ｄ．若x1x2，则f(x1)f(x2)

4.设f0(x)sinx,f1(x)f0(x)，f2(x)f1'(x),,fn1(x)fn'(x)，n∈N，则f2007(x)A.sinx

B.－sinx

二.解答题：

11．将函数y2x为增函数的判断写成三段论的形式为

12．在平面，到一条直线的距离等于定长（为正数）的点的集合，是与该直线平行的两条直线．这一结论推广到空间则为：在空间，到一个平面的距离等于定长的点的集合，是． 13.在△ABC中，sinA

sinBsinC，判断△ABC的形状.cosBcosC

14.已知函数f(x)ln(1x)x，求f(x)的最大值.三、解答题

15．用三段论证明：通项为anpnq（p，q为常数）的数列an是等差数列．，2，2，3，3，3，4，4，4，4， 16．设有数列1

'

（1）问10是该数列的第几项到第几项？（2）求第100项；（3）求前100项的和． 思考题

1.通过计算可得下列等式：

C.cosx

D.－cosx

2212211

5.在十进制中2004410010010210，那么在5进制中数码2004折合成十进制为A.29B.254C.602D.2004 6.函数yax21的图像与直线yx相切，则a= A.3222221 4232231

┅┅

B.4

C.12

D.1

(n1)2n22n1

将以上各式分别相加得：(n1)2122(123n)n

7.设 f(x)|x1||x|, 则f[f()]

1A.



B.0



1C.2





D.1

即：123n

n(n1)

8.已知向量a(x5,3), b(2,x),且ab, 则由x的值构成的集合是

A.{2,3}B.{-1, 6}C.{2}D.{6} 9.有一段演绎推理是这样的：“直线平行于平面,则平行于平面内所有直线；已知直线b平面，A.大前提错误B.小前提错误C.推理形式错误D.非以上错误

类比上述求法：请你求出123n的值.2．设an是集合2t2s|0≤st，且s，tZ中所有的数从小到大排列成的数列，即a13，

直线a平面，直线b∥平面，则直线b∥直线a”的结论显然是错误的，这是因为a25，a36，a49，a510，a612，将数列an各项按照上小下大，左小右大的原则写成如

121231234210．观察数列1，则数将出现在此数列的第（）

2132143216

Ａ．21项Ｂ．22项Ｃ．23项Ｄ．24项

右的三角形数表：

（1）写出这个三角形数表的第四行、第五行；（2）求a100．56 91012  

第二篇：大庆实验中学2014高二12月10日英语周检测 B

实验三部第16周周检测英语试题(B)

出题人:张妍审题人: 李睿 孙秀芳 刘阳

一、单项填空（共16小题；每小题2分，满分32分）

1.Anyone will be immediately fined 200 yuan if he is found ________ in the office.A.smokeB.smokingC.to smokeD.smoked 2.Hearing the bad news that her grandfather was seriously ill, the poor girl ______ crying.A.burst outB.broke upC.burst intoD.broke into

3.The ________ of the time students spend at school has been limited to no more than six hours a day for primary students.A.numberB.sumC.qualityD.amount

4.When crossing the street, you must watch out for the traffic.Otherwise, you would ______ by a car.A.knock intoB.be knocked overC.be knocked offD.knock out 5.In Texas and the southeast, there are storms ______ in summer and fall.A.at a timeB.on timeC.from time to time D.at the time 6.I knew we would be good friends _______ I met her.A.for the first timeB.at the first timeC.the first timeD.first time 7.It is difficult to predict his reaction because he is so _______.A.funnyB.sunnyC.moodyD.energetic

8.Ever since her boyfriend broke up with her, the poor girl has been frustrated.She’s _______ interest in life.A.lostB.hadC.takenD.developed

9.Hearing someone calling his name behind his back, he _________, and for a second almost failed to recognize her.A.turned awayB.turned overC.turned roundD.turned up 10.People held completely different views, and _______ the discussion came to nothing.A.as a result ofB.as a resultC.on the contraryD.form time to time

11.All money ______ from the charity sale last week has already been sent to the disaster area.A.raisedB.risenC.raisingD.rising 12.We spent days ______ all the related reference materials.A.to go throughB.going throughC.to see throughD.seeing through13.______ for a while, I came to realize that we had a lot in common.A.To chatB.ChattingC.Having chattedD.Chatted14.The two brothers are barely _____.A.on good termsB.in terms ofC.in their termsD.in real terms 15.He completely forgot the front door last night, but fortunately nothing was stolen.A.lockingB.being lockedC.to lockD.to have locked16.The local people quarreled the new settlersthe land rights.A.among;overB.with;forC.with;overD.among;about

二、完形填空（共20小题；每小题2分，满分40分）

A woman said something that hurt her best friend.She it immediately, and wanted to do something to take the back.So she went to a sage(智者), her situation, and asked for advice.The sagepatiently and said, “There are two things you need to do.The first is extremely difficult., take your best feather(羽毛)pillows, anda small hole in each one.Then, before the sun rises, you must a single feather on the doorstep of each house in the town.When you are , come back and I’ll tell you the second.”

The woman hurried home to it.All night long she labored(劳动)alone in the.She went from doorstep to doorstep, taking care not to leave out a single house.Her fingers were frozen.The wind was sothat it caused her eyes to water, but she didn’t give up, that there was something she could do to put things back the way they once were.Just as the sun rose, sheto the sage.She was tired, but pleased that her efforts would be.“My pillows are empty.I placed a feather on the doorstep of each home,” the woman said.“Now,” said the sage, “go back and your pillows.Then everything will be as it was before.”

The woman was surprised, “That’s impossible!The wind each feather as fast as I placed them on the doorsteps!”

“That’s true,” said the sage.“Never that each of your words is like ain the wind.spoken, no amount ofcan ever return them to your mouth.Remember one kind word can warm three winter months.” 17.A.tried B.forgotC.regrettedD.stood18.A.letters B.suggestionsC.giftsD.words19.A.explained B.assessedC.facedD.accepted20.A.taught B.listenedC.observedD.searched21.A.Later B.NowC.TomorrowD.Tonight22.A.draw B.findC.openD.leave23.A.put B.selectC.tieD.find24.A.out B.throughC.offD.down25.A.sort out B.look forC.prepare forD.think of26.A.hot B.rainyC.warmD.cold27.A.free B.fierceC.hotD.constant28.A.thankful B.curiousC.worriedD.upset 29.A.shouted B.returnedC.movedD.waved 30.A.devoted B.takenC.rewardedD.spent 31.A.hide B.makeC.bringD.refill 32.A.piled up B.blew awayC.put awayD.cut off 33.A.forget B.argueC.mindD.attempt 34.A.flower B.leafC.featherD.pillow 35.A.Because B.UnlessC.AlthoughD.Once 36.A.effortB.timeC.patienceD.knowledge

三、阅读理解（共9小题；每小题2分，满分18分）

A

Older friends are wonderful to have because they can give you an insight(洞察力)into a different time in our history.Even though there are differences between the two generations in some cases, it’s still possible to

have fun and also to learn from each other.I have had several older friends in my life and they all taught me something a little bit different about life.When I was a child, my mother had a wonderful lady come into our home to provide housekeeping services.This woman was retired and might have been in her mid to late sixties at that time.Although her job was to clean our house, this woman provided much more than that.She was always there for me on the days she came to work.During the course of the days when I was ill, she would make sure that I was comfortable and cared for properly.In my childhood, I considered her a second mom.As I grew into my teen years, she became one of my best friends.During my teen years, I was often home during the summers and Girtha and I would eat lunch together.We could talk about anything and laugh together as well.I learned a lot about life from Girtha.She had a very deep faith and read her Bible regularly.Even though her circumstances were difficult, she never complained and always showed compassion(同情)for others.She always rode the bus to and from work and refused our offers to drive her home in the evenings because she felt that she lived in an undesirable neighborhood and was very concerned for our safety.In her later years, Girtha’s health declined and she had to stop working.She eventually moved to another state so her daughter could care for her.Early in my college career, I received a phone call telling me that Girha had died, which saddened me a lot.I still miss her to this day.Girtha was unique in her own way, but through several matters, she touched my life and my heart in a very special way.Maybe it’s time for me to review those lessons in everlasting faith.37.Why does the author think having older friends is wonderful? A.Because they understand our history very well.B.Because they are relatively easier to deal with.C.Because they have a deep understanding of life.D.Because the two generations have something in common.38.The author considered Girtha a second mom when young because of.A.her much older age B.her loving careC.her housekeeping services D.her unique personality

39.According to the author, Girtha was thought to be the following EXCEPT.A.optimistic B.considerate C.kind-heartedD.knowledgeable 40.Why did Girtha refuse our offers to drive her home? A.Because she was compassionate.B.Because she was worried about our safety.C.Because she was accustomed to taking a bus.D.Because she felt ashamed of her poor living conditions.41.The author wrote the text to.A.introduce the life story of GirthaB.show the advantages of older friends

C.tell us the influence Girtha had on him or her D.advise the young to make friends with the old

B

When Josephine Cooper was growing up, she learned the importance of charity from her parents.Although they made a modest living for their family of 10, they insisted on sharing with those less fortunate.Half a century later, Mrs.Cooper became a beloved volunteer at the San Diego Food Bank, where she devoted herself to helping others.She organized and ran a distribution center of a church, helping it become the

organization’s largest emergency food distribution center in San Diego.She was one of the 25 outstanding senior volunteers in the nation selected and invited to Washington D.C.to receive an award.“She was the main person who helped us make that program grow,” said Mike Doody, former director of the Food Bank.“She had a way of getting people to work together and to work hard.She was determined and stubborn, but in a good way.She had a good heart.” People knew her as “Grandma” because of her selflessness and her devotion to helping hungry children and families.“She reminded people of their Grandma,” Doody said.As a widow with a young child in 1979, Mrs.Cooper was helped through a difficult financial time when the Food Bank provided her with groceries.“She devoted her life to giving back，” said her daughter, Monica Cooper.It wasn’t unusual for a local church to call Mrs.Cooper to ask her to aid a needy family.“She would give people food out of her cupboard.Sometimes we would cook a meal for a family living in their car,” Cooper said.Although Mrs.Cooper was honored to receive the national award for her volunteer work, she said being able to help others was her reward.She died of liver disease and kidney failure, aged 93.42.The underlined word “charity” in Paragraph 1 refers to ________.A.offering helpB.donating moneyC.providing servicesD.showing sympathy 43.The San Diego Food Bank is meant to ________.A.distribute food in case of emergencyB.help hungry children and familiesC.give basic first-aid treatment

D.train some senior volunteers

44.Which of the following is true of Mrs.Cooper?A.She died at an early age.B.She refused the national award.C.She was kind and devoted.D.She was not easy to get along with.45.From what Monica Cooper said, we know that ________.A.she is in financial troubleB.she was finally rewarded

C.she once misunderstood her motherD.she thinks highly of her mother

四、根据提示完成句子（共5小题；每小题2分，满分10分）46.When our c_________ friend dies, we can’t help but feel sad.47.Never t________ a man who breaks his word easily.48.What worries most is that their children spend more and more time c_______ online.49.We only exchange(兑换)________(纸币)and travelers’ cheques.50.He ________(原谅)her for what she had said to him.

第三篇：大庆实验中学2014高二12月10日英语周检测 AB答案

实验三部第16周(12月10日)周检测 英语试题答案

单项填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

阅读理解 37-41 CBDBC42-45 ABCD

完成句子(A)46.burst out laughing47.These days48.from time to time

49.Having left50.going through

(B)46.close47.trust48.chatting49.notes50.forgave

实验三部第16周(12月10日)周检测 英语试题答案

单项填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

阅读理解 37-41 CBDBC42-45 ABCD

完成句子(A)46.burst out laughing47.These days48.from time to time

49.Having left50.going through

(B)46.close47.trust48.chatting49.notes50.forgave

实验三部第16周(12月10日)周检测 英语试题答案

单项填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

阅读理解 37-41 CBDBC42-45 ABCD

完成句子(A)46.burst out laughing47.These days48.from time to time

49.Having left50.going through

(B)46.close47.trust48.chatting49.notes50.forgave

实验三部第16周(12月10日)周检测 英语试题答案

单项填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

阅读理解 37-41 CBDBC42-45 ABCD

完成句子(A)46.burst out laughing47.These days48.from time to time

49.Having left50.going through

(B)46.close47.trust48.chatting49.notes50.forgave

实验三部第16周(12月10日)周检测 英语试题答案

单项填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

阅读理解 37-41 CBDBC42-45 ABCD

完成句子(A)46.burst out laughing47.These days48.from time to time

49.Having left50.going through

(B)46.close47.trust48.chatting49.notes50.forgave

实验三部第16周(12月10日)周检测 英语试题答案

单项填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

阅读理解 37-41 CBDBC42-45 ABCD

完成句子(A)46.burst out laughing47.These days48.from time to time

49.Having left50.going through

(B)46.close47.trust48.chatting49.notes50.forgave1

第四篇：高二文科数学推理与证明周练

高二文科数学第八周周练（3.30）

姓名：得分：

一、选择题（在每小题给出的四个选项中，只有一项是符合题目要求的；请将答案直

接填入后面表格内.）

1、复数z=-1+2i，则 z 的虚部为()

A．1B．-1C．2D．-

22、下列三句话按“三段论”模式排列顺序正确的是（）

① y = sin x（x ∈ R）是三角函数；② 三角函数是周期函数；

③ y = sin x（x ∈ R）是周期函数.A、① ② ③Ｂ、② ① ③Ｃ、② ③ ①Ｄ、③ ② ①

3、下列说法正确的是（）

Ａ．由归纳推理得到的结论一定正确Ｂ．由类比推理得到的结论一定正确 Ｃ．由合情推理得到的结论一定正确

Ｄ．演绎推理在前提和推理形式都正确的前提下，得到的结论一定正确。

4、当n1，2，3，4，5，6时，比较2n和n2的大小并猜想（）

A.n1时，2nn2B.n3时，2nn

2C.n4时，2nn2D.n5时，2nn2

''

5、设f0(x)sinx,f1(x)f0(x)，f2(x)f1(x),,fn1(x)fn(x)，n∈N，则f2012(x)'

A.sinx B.－sinx

x:xyy(xy)(xy),C.cosx D.－cosx

6、定义运算的是（）例如344,则下列等式不能成立．．．．

A．xyyxB．(xy)zx(yz)

222C．(xy)xyD．c(xy)(cx)(cy)（其中c0）

二、填空题（把答案填在后面的横线上）

7、如图，由若干圆点组成如三角形的图形，每条边（包括两个端点）有n（n>1）（n∈N）

个点，每个图形总的点数记为an，则a2012=。

n=2 n=3 n=

4„

8、若f(ab)f(a)f(b)(a,bN),且f(1)2，则

一、选择题

f(2)f(1)f(4)f(3)f(2012)f(2011)

二、填空题 7、8、三、解答题（请写出必要的文字说明和计算过程）

9、在数列{an}中，a11,an12an2an(nN)，试写出这个数列的前4项，并猜想

这个数列的通项公式及证明你的结论.10、函数 f(x)对任意x  R都有f(x)f(1x)

(1)求f()的值.2

12n1

n)f(1),数列an是等差数12.1(2)数列{an} 满足:anf(0)f()f()f(nn

列吗?请给予证明.

第五篇：数列与推理证明检测题

2013届高三寒假作业数学章节检测(5)

一 选择题

()

2．已知等差数列an的前项和为Sn，若M,N,P三点共线，O为坐标原点，且ONaOM1

5

aO(P直线MP不过点O)，则S20等于（）6

A．15B．10C．40D．20

3．数列{an}中，a1a21,an2an1an对所有正整数n都成立，则a10等于()A.3

4B.55

C.89

D.100

24．若数列{an}中ann6n

7，则其前n项和Sn取最大值时，n（）

A．3Ｂ．6Ｃ．7

Ｄ．6或7 5．已知数列an

a20=（）

A.0

6．数列an满足：an2an1-an（nN），且a21，若数列的前2011项之和为2012，则前2012项的和等于

A．0B． 1C．2012 7．用正偶数按下表排列

D．201

3则2008在第行第列.（）A．第 251 行第 5 列 B．第 251 行第 1列

C．第 250 行第 3 列

D．第 251 行第 5 列或第 252 行第 5列

8．黑白两种颜色的正六形地面砖块按如图的规律拼成若干个图案，则第五个图案中有白色地面砖（）块.A.21B.22C.20D.23

9．某个命题与正整数有关，若当nk(kN*)时该命题成立，那么可推得当nk1时该命题也成立，现已知当n5时该命题不成立，那么可推得()

A、当n6时，该命题不成立

C、当n4时，该命题成立 10． 设数列{an}的前n项和为Sn，称Tn为数列a1，a2，„，an

a1，的“理想数”，已知数列a1，a2，„„，a502的“理想数”为2012，那么数列2，„，a2，a502的“理想数”为（）

A．2010B．2011C．2012D．201

311．一同学在电脑中打出如下若干个圆：○●○○●○○○●○○○○●○○○○○●„，若依此规律继续下去，得到一系列的圆，则在前2 012个圆中共有●的个数是（）A．61B．6

2【答案】A

C．63D．6

412．已知数列an的通项为an

2n1，Sn为数列

an的前n

数列

bn的前n项和的取值范围为()

A二 填空题

．设等差数列an的前n项和为Sn，若a10，S5S12，则当Sn取得最大值时，n的值为14n项和Sn

15．若{an}是递增数列λ对于任意自然数n,annn恒成立，求实数λ的取值范围是

【答案】λ>－3

15数列a

n中，Snn,某三角形三边之比为a2:a3:a4，则该三角形最大角为

16在Rt△ABC中，CA⊥CB，斜边AB上的高为h1图，在四面体P—ABC中，若PA，PB，PC两两垂直，底面ABC上的高为h，则h与PA, PB, PC

有关系式：．

D

O

三解答题

17．（本小题满分12分）

等比数列{an}的前n项和为Sn，已知对任意的nN，点(n,Sn)均在函数

ybr(b0且b1,b,r均为常数)的图像上.x

（1）求r的值；（2）当b

2{bn}的前n项和Tn.18．某少数民族的刺绣有着悠久的历史,下图（1）、（2）、（3）、（4）她们刺绣最简单的四个图案,这些图案都是由小正方形构成，小正方形数越多刺绣越漂亮;现按同样的规律刺绣(小正方形的摆放规律相同)，设第n个图形包含f(n)个小正方形

（Ⅰ）求出f(5)的值；

（Ⅱ）利用合情推理的“归纳推理思想”，归纳出f(n1)与f(n)之间的关系式，并根据你得到的关系式求出f(n)的表达式；

.19.（本小题14分）

在等差数列{an}中，a1030,a2050.(1)求数列{an}的通项an；(2)令bn2a

n

10，证明：数列{bn}为等比数列；

（3）求数列{nbn}的前n项和Tn.20

（Ⅰ）求f(x)f(1x),xR的值；

(nN*)，求数列{an}的通项公式；

（Ⅲ）若数列bn满足bn2n1an，Sn是数列bn的前n项和，是否存在正实数k，使不等式knSn4bn对于一切的nN恒成立？若存在，请求出k的取值范围；若不存在，请说明理由．

21．已知数列a

nn项和S

n

（1）求数列an的通项公式；（222．（本小题满分14分）已知数列an是各项均不为0的等差数列，公差为d，Sn为其前

n项和，且满足an2S2n1，nN*．数列b

n和．

（1）求a1、d和Tn；

Tn为数列bn的前n项

n

（2）若对任意的nN*，不等式Tnn8(1)恒成立，求实数的取值范围；

（3）是否存在正整数m,n(1mn)，使得T1,Tm,Tn成等比数列？若存在，求出所有

m,n的值；若不存在，请说明理由．