第一篇：大慶實驗中學第十周周檢測-推理與證明正式

周周檢測（文科卷）

考試日期：５月４日 滿分100分命題人：侯典峰 審題人：侯典峰 何本勝

一.選擇題：

1.如果數(shù)列?an?是等差數(shù)列，則 A.a1?a8?a4?a5

B.a1?a8?a4?a5 C.a1?a8?a4?a5

D.a1a8?a4a5

2．由直線與圓相切時，圓心到切點連線與直線垂直，想到平面與球相切時，球心與切點連線與平面垂直，用的是（）

Ａ．歸納推理Ｂ．演繹推理Ｃ．類比推理Ｄ．特殊推理 3．用演繹法證明函數(shù)y?x3是增函數(shù)時的大前提是

Ａ．增函數(shù)的定義Ｂ．函數(shù)y?x3滿足增函數(shù)的定義 Ｃ．若x1?x2，則f(x1)?f(x2)Ｄ．若x1?x2，則f(x1)?f(x2)

4.設f0(x)?sinx,f1(x)?f0(x)，f2(x)?f1'(x),?,fn?1(x)?fn'(x)，n∈N，則f2007(x)?A.sinx

B.－sinx

二.解答題：

11．將函數(shù)y?2x為增函數(shù)的判斷寫成三段論的形式為

12．在平面，到一條直線的距離等于定長（為正數(shù)）的點的集合，是與該直線平行的兩條直線．這一結論推廣到空間則為：在空間，到一個平面的距離等于定長的點的集合，是． 13.在△ABC中，sinA?

sinB?sinC，判斷△ABC的形狀.cosB?cosC

14.已知函數(shù)f(x)?ln(1?x)?x，求f(x)的最大值.三、解答題

15．用三段論證明：通項為an?pn?q（p，q為常數(shù)）的數(shù)列?an?是等差數(shù)列．，2，2，3，3，3，4，4，4，4，? 16．設有數(shù)列1

'

（1）問10是該數(shù)列的第幾項到第幾項？（2）求第100項；（3）求前100項的和． 思考題

1.通過計算可得下列等式：

C.cosx

D.－cosx

22?12?2?1?1

5.在十進制中2004?4?10?0?10?0?10?2?10，那么在5進制中數(shù)碼2004折合成十進制為A.29B.254C.602D.2004 6.函數(shù)y?ax2?1的圖像與直線y?x相切，則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

將以上各式分別相加得：(n?1)2?12?2?(1?2?3???n)?n

7.設 f(x)?|x?1|?|x|, 則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, 則由x的值構成的集合是

A.{2,3}B.{-1, 6}C.{2}D.{6} 9.有一段演繹推理是這樣的：“直線平行于平面,則平行于平面內所有直線；已知直線b??平面?，A.大前提錯誤B.小前提錯誤C.推理形式錯誤D.非以上錯誤

類比上述求法：請你求出1?2?3???n的值.2．設?an?是集合2t?2s|0≤s?t，且s，t?Z中所有的數(shù)從小到大排列成的數(shù)列，即a1?3，??

直線a?平面?，直線b∥平面?，則直線b∥直線a”的結論顯然是錯誤的，這是因為a2?5，a3?6，a4?9，a5?10，a6?12，??將數(shù)列?an?各項按照上小下大，左小右大的原則寫成如?

121231234210．觀察數(shù)列1?，則數(shù)將出現(xiàn)在此數(shù)列的第（）

2132143216

Ａ．21項Ｂ．22項Ｃ．23項Ｄ．24項

右的三角形數(shù)表：

（1）寫出這個三角形數(shù)表的第四行、第五行；（2）求a100．56 91012 ???? ?????

第二篇：大慶實驗中學2014高二12月10日英語周檢測 B

實驗三部第16周周檢測英語試題(B)

出題人:張妍審題人: 李睿 孫秀芳 劉陽

一、單項填空（共16小題；每小題2分，滿分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小題；每小題2分，滿分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(勞動)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、閱讀理解（共9小題；每小題2分，滿分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、根據(jù)提示完成句子（共5小題；每小題2分，滿分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(兌換)________(紙幣)and travelers’ cheques.50.He ________(原諒)her for what she had said to him.

第三篇：大慶實驗中學2014高二12月10日英語周檢測 AB答案

實驗三部第16周(12月10日)周檢測 英語試題答案

單項填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

閱讀理解 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

實驗三部第16周(12月10日)周檢測 英語試題答案

單項填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

閱讀理解 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

實驗三部第16周(12月10日)周檢測 英語試題答案

單項填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

閱讀理解 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

實驗三部第16周(12月10日)周檢測 英語試題答案

單項填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

閱讀理解 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

實驗三部第16周(12月10日)周檢測 英語試題答案

單項填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

閱讀理解 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

實驗三部第16周(12月10日)周檢測 英語試題答案

單項填空 1-16 BADBCCCACBABCACC

完形填空 17-36 CDABDCABCDBABCDBACDA

閱讀理解 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：高二文科數(shù)學推理與證明周練

高二文科數(shù)學第八周周練（3.30）

姓名：得分：

一、選擇題（在每小題給出的四個選項中，只有一項是符合題目要求的；請將答案直

接填入后面表格內.）

1、復數(shù)z=-1+2i，則 z 的虛部為()

A．1B．-1C．2D．-

22、下列三句話按“三段論”模式排列順序正確的是（）

① y = sin x（x ∈ R）是三角函數(shù)；② 三角函數(shù)是周期函數(shù)；

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

3、下列說法正確的是（）

Ａ．由歸納推理得到的結論一定正確Ｂ．由類比推理得到的結論一定正確 Ｃ．由合情推理得到的結論一定正確

Ｄ．演繹推理在前提和推理形式都正確的前提下，得到的結論一定正確。

4、當n?1，2，3，4，5，6時，比較2n和n2的大小并猜想（）

A.n?1時，2n?n2B.n?3時，2n?n

2C.n?4時，2n?n2D.n?5時，2n?n2

''

5、設f0(x)?sinx,f1(x)?f0(x)，f2(x)?f1(x),?,fn?1(x)?fn(x)，n∈N，則f2012(x)?'

A.sinx B.－sinx

?x:x?y???y(x?y)(x?y),C.cosx D.－cosx

6、定義運算的是（）例如3?4?4,則下列等式不能成立．．．．

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、填空題（把答案填在后面的橫線上）

7、如圖，由若干圓點組成如三角形的圖形，每條邊（包括兩個端點）有n（n>1）（n∈N）

個點，每個圖形總的點數(shù)記為an，則a2012=。

n=2 n=3 n=

4?

8、若f(a?b)?f(a)?f(b)(a,b?N),且f(1)?2，則

一、選擇題

f(2)f(1)?f(4)f(3)???f(2012)f(2011)?

二、填空題 7、8、三、解答題（請寫出必要的文字說明和計算過程）

9、在數(shù)列{an}中，a1?1,an?1?2an2?an(n?N?)，試寫出這個數(shù)列的前4項，并猜想

這個數(shù)列的通項公式及證明你的結論.10、函數(shù) f(x)對任意x ? R都有f(x)?f(1?x)?

(1)求f()的值.2

12n?1

n)?f(1),數(shù)列?an?是等差數(shù)12.1(2)數(shù)列{an} 滿足:an?f(0)?f()?f()???f(nn

列嗎?請給予證明.

第五篇：數(shù)列與推理證明檢測題

2013屆高三寒假作業(yè)數(shù)學章節(jié)檢測(5)

一 選擇題

()

2．已知等差數(shù)列?an?的前項和為Sn，若M,N,P三點共線，O為坐標原點，且?????????ON?aOM?1

5????

aO(P直線MP不過點O)，則S20等于（）6

A．15B．10C．40D．20

3．數(shù)列{an}中，a1?a2?1,an?2?an?1?an對所有正整數(shù)n都成立，則a10等于()A.3

4B.55

C.89

D.100

24．若數(shù)列{an}中an??n?6n?

7，則其前n項和Sn取最大值時，n?（）

A．3Ｂ．6Ｃ．7

Ｄ．6或7 5．已知數(shù)列?an?

a20=（）

A.0?

6．數(shù)列?an?滿足：an?2?an?1-an（n?N），且a2?1，若數(shù)列的前2011項之和為2012，則前2012項的和等于

A．0B． 1C．2012 7．用正偶數(shù)按下表排列

D．201

3則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．黑白兩種顏色的正六形地面磚塊按如圖的規(guī)律拼成若干個圖案，則第五個圖案中有白色地面磚（）塊.A.21B.22C.20D.23

9．某個命題與正整數(shù)有關，若當n?k(k?N*)時該命題成立，那么可推得當n?k?1時該命題也成立，現(xiàn)已知當n?5時該命題不成立，那么可推得()

A、當n?6時，該命題不成立

C、當n?4時，該命題成立 10． 設數(shù)列{an}的前n項和為Sn，稱Tn為數(shù)列a1，a2，?，an

a1，的“理想數(shù)”，已知數(shù)列a1，a2，??，a502的“理想數(shù)”為2012，那么數(shù)列2，?，a2，a502的“理想數(shù)”為（）

A．2010B．2011C．2012D．201

311．一同學在電腦中打出如下若干個圓：○●○○●○○○●○○○○●○○○○○●?，若依此規(guī)律繼續(xù)下去，得到一系列的圓，則在前2 012個圓中共有●的個數(shù)是（）A．61B．6

2【答案】A

C．63D．6

412．已知數(shù)列?an?的通項為an?

2n?1，Sn為數(shù)列?

an?的前n

數(shù)列

?bn?的前n項和的取值范圍為()

A二 填空題

．設等差數(shù)列?an?的前n項和為Sn，若a1?0，S5?S12，則當Sn取得最大值時，n的值為14n項和Sn

15．若{an}是遞增數(shù)列λ對于任意自然數(shù)n,an?n??n恒成立，求實數(shù)λ的取值范圍是

【答案】λ>－3

15數(shù)列?a

n?中，Sn?n,某三角形三邊之比為a2:a3:a4，則該三角形最大角為

16在Rt△ABC中，CA⊥CB，斜邊AB上的高為h1圖，在四面體P—ABC中，若PA，PB，PC兩兩垂直，底面ABC上的高為h，則h與PA, PB, PC

有關系式：．

D

O

三解答題

17．（本小題滿分12分）

等比數(shù)列{an}的前n項和為Sn，已知對任意的n?N?，點(n,Sn)均在函數(shù)

y?b?r(b?0且b?1,b,r均為常數(shù))的圖像上.x

（1）求r的值；（2）當b?

2{bn}的前n項和Tn.18．某少數(shù)民族的刺繡有著悠久的歷史,下圖（1）、（2）、（3）、（4）她們刺繡最簡單的四個圖案,這些圖案都是由小正方形構成，小正方形數(shù)越多刺繡越漂亮;現(xiàn)按同樣的規(guī)律刺繡(小正方形的擺放規(guī)律相同)，設第n個圖形包含f(n)個小正方形

（Ⅰ）求出f(5)的值；

（Ⅱ）利用合情推理的“歸納推理思想”，歸納出f(n?1)與f(n)之間的關系式，并根據(jù)你得到的關系式求出f(n)的表達式；

.19.（本小題14分）

在等差數(shù)列{an}中，a10?30,a20?50.(1)求數(shù)列{an}的通項an；(2)令bn?2a

n

?10，證明：數(shù)列{bn}為等比數(shù)列；

（3）求數(shù)列{nbn}的前n項和Tn.20

（Ⅰ）求f(x)?f(1?x),x?R的值；

(n?N*)，求數(shù)列{an}的通項公式；

（Ⅲ）若數(shù)列?bn?滿足bn?2n?1?an，Sn是數(shù)列?bn?的前n項和，是否存在正實數(shù)k，使不等式knSn?4bn對于一切的n?N?恒成立？若存在，請求出k的取值范圍；若不存在，請說明理由．

21．已知數(shù)列?a

n?n項和S

n

（1）求數(shù)列?an?的通項公式；（222．（本小題滿分14分）已知數(shù)列?an?是各項均不為0的等差數(shù)列，公差為d，Sn為其前

n項和，且滿足an2?S2n?1，n?N*．數(shù)列?b

n?和．

（1）求a1、d和Tn；

Tn為數(shù)列?bn?的前n項

n

（2）若對任意的n?N*，不等式?Tn?n?8?(?1)恒成立，求實數(shù)?的取值范圍；

（3）是否存在正整數(shù)m,n(1?m?n)，使得T1,Tm,Tn成等比數(shù)列？若存在，求出所有

m,n的值；若不存在，請說明理由．