北京市西城区2014年高三一模试卷

一、选择题：本大题共12个小题,每小题5分,共60分.在每小题给出的四个选项中，只有一项 是符合题目要求的.1.设全集{}02U x x =<<，集合{}01A x x =<≤，则集合U A =ð（ ）A.()0,1B.(]0,1C.()1,2D.[)1,22.已知平面向量()2,1a =-，()1,3b =，那么a b +等于（ ）A.5 D.133.已知双曲线()2222:10,0x y C a b a b-=>>的虚轴长是实轴长的2倍，则此双曲线的离心率为（ ）B.2= D.考点：1.双曲线的几何性质；2.双曲线的离心率4.某几何体的三视图如图所示，则该几何体的体积为（ ） A.2 B.43C.4D.55.下列函数中，对于任意x R ∈，同时满足条件()()f x f x =-和()()f x f x π-=的函数是（ ） A.()sin f x x = B.()sin cos f x x x = C.()cos f x x = D.()22cos sin f x x x =-()22cos sin cos2f x x x x =-=，该函数是偶函数，且以π为最小正周期的周期函数，故选D.正(主)视图俯视图侧(左)视图考点：1.二倍角公式；2.三角函数的奇偶性与周期性6.设0a >，且1a ≠，则“函数log a y x =在()0,+∞上是减函数”是“函数()32y a x =-在R 上是增函数”的（ ）A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件7.某企业为节能减排，用9万元购进一台新设备用于生产. 第一年需运营费用2万元，从第二年起，每年运营费用均比上一年增加2万元，该设备每年生产的收入均为11万元. 设该设备使用了()n n N *∈年后，盈利总额达到最大值（盈利额等于收入减去成本），则n 等于（ ）A.4B.5C.6D.78.如图，设P 为正四面体A BCD -表面（含棱）上与顶点不重合的一点，由点P 到四个顶点的距离组成的集合记为M ，如果集合M 中有且只有2个元素，那么符合条件的点P 有（ ）A.4个B. 6个C.10个D.14个 【答案】C 【解析】试题分析：分以下两种情况讨论：（1）点P 到其中两个点的距离相等，到另外两点的距离分别相等，且这两个距离不等，此时点P 位于正四面体各棱的中点，符合条件的有6个点；（2）点P 到其中三个点的距离相等，到另外一点的距离与它到其它三点的距离不相等，此时点P 在正四面体各侧面的中心点，符合条件的有4个点，故选C. 考点：新定义第Ⅱ卷（共110分）二、填空题：本大题共6小题，每小题5分，共30分．9.设复数12ix yi i-=++，其中x 、y R ∈，则x y +=______.10.若抛物线2:2C y px =的焦点在直线20x y +-=上，则p =_____；C 的准线方程为_____.4p =，此时抛物线的准线方程为2x =-.BADC. P考点：抛物线的几何性质11.已知函数()3,01,01x x f x x x +≤⎧⎪=⎨>⎪+⎩，若()02f x =，则实数0=x ______；函数()f x 的最大值为_____．12.执行如图所示的程序框图，如果输入2a =，2b =，那么输出的a 值为______.【答案】256. 【解析】试题分析：3log 24>不成立，执行第一次循环，224a ==；3log 44>不成立，执行第二次循环，2416a ==；4333log 164log 3log 81>==不成立，执行第三次循环，216256a ==；33log 2564log 81>=成立，跳出循环体，输出a 的值为256，故选C.考点：算法与程序框图13.若不等式组1026ax y x y x y ≥⎧⎪≥⎪⎨+≤⎪⎪+≤⎩表示的平面区域是一个四边形，则实数a 的取值范围是_______.范围是()3,5. 考点：线性规划14.如图，在直角梯形ABCD 中，//AB CD ，AB BC ⊥，2AB =，1CD =，2BC =，P 为线段AD （含端点）上一个动点，设AP xAD =，PB PC y ⋅=，记()y f x =，则()1f =____； 函数()f x 的值域为_________.因为()()205080441f f =⨯-⨯+=>，因此()()max 04f x f ==，所以函数()f x 的值域为4,45⎡⎤⎢⎥⎣⎦.A D C P考点：1.平面向量的数量积；2.二次函数三、解答题 （本大题共6小题，共80分.解答应写出文字说明、证明过程或演算步骤.）15.（本小题满分13分）在ABC ∆中，角A 、B 、C 所对的边分别为a 、b 、c .已知222b c a bc +=+. （1）求A 的大小；（2）如果cos 3=B ，2b =，求a 的值.考点：1.正弦定理与余弦定理；2.同角三角函数的基本关系16.（本小题满分13分）某批次的某种灯泡共200个，对其寿命进行追踪调查，将结果列成频率分布表如下. 根据寿命将灯泡分成优等品、正品和次品三个等级，其中寿命大于或等于500天的灯泡是优等品，寿命小于300天的灯泡是次品，其余的灯泡是正品.（1）根据频率分布表中的数据，写出a 、b 、c 的值；（2）某人从这200个灯泡中随机地购买了1个，求此灯泡恰好不．是次品的概率； （3）某人从这批灯泡中随机地购买了()n n N *∈个，如果这n 个灯泡的等级情况恰好与按．三个．．等级分层抽．．．．．样．所得的结果相同，求n 的最小值.所以n 的最小值为10.考点：1.频率分布表；2.古典概型17.（本小题满分14分）如图，在四棱锥S ABCD -中，底面ABCD 是矩形，2AD AB =，SA SD =，SA AB ⊥， N 是棱AD 的中点.（1）求证：//AB 平面SCD ；（2）求证：SN ⊥平面ABCD ；（3）在棱SC 上是否存在一点P ，使得平面PBD ⊥平面ABCD ？若存在，求出SPPC的值；若不存在，说明理由.【答案】（1）详见解析；（2）详见解析；（3）存在，且12SP PC =. 所以 SN AD ⊥.又因为 ABAD A =，所以 SN ⊥平面ABCD .（3）如图，连接BD 交NC 于点F ，在平面SNC 中过F 作//FP SN 交SC 于点P ，连接PD 、PC .因为 SN ⊥平面ABCD ，所以FP ⊥平面ABCD . 又因为FP ⊂平面PBD ，所以平面PBD ⊥平面ABCD . 在矩形ABCD 中，因为//ND BC ， 所以12NF ND FC BC ==. 在SNC ∆中，因为//FP SN ， 所以12NF SP FC PC ==. 则在棱SC 上存在点P ，使得平面PBD ⊥平面ABCD ，此时12SP PC =. 考点：1.直线与平面平行的判定与性质；2.直线与平面垂直 18.（本小题满分13分）已知函数()ln af x x x=-，其中a R ∈. （1）当2a =时，求函数()f x 的图象在点()()1,1f 处的切线方程； （2）如果对于任意()1,x ∈+∞，都有()2f x x >-+，求a 的取值范围. 【答案】（1）350x y --=；（2）(],1-∞-. 【解析】试题分析：（1）将2a =代入函数解析式，求出()1f '及()1f 的值，利用点斜式写出切线方程；（2）利用参数分离法将()2f x x >-+转化为2ln 2a x x x x <+-，构造新函数()2ln 2g x x x x x =+-，问题转化为()min a g x <来求解，但需注意区间()1,+∞端点值的取舍. 试题解析：（1）由()2ln f x x x =-，得()212f x x x'=+， 所以()13f '=， 又因为()12f =- ，所以函数()f x 的图象在点()()1,1f 处的切线方程为350x y --=；19.（本小题满分14分）已知椭圆()2222:10x y W a b a b+=>>的焦距为2，过右焦点和短轴一个端点的直线的斜率为1-，O 为坐标原点. （1）求椭圆W 的方程.（2）设斜率为k 的直线l 与W 相交于A 、B 两点，记AOB ∆面积的最大值为k S ，证明：12S S =.【答案】（1）2212x y +=；（2）详见解析. 【解析】试题分析：（1）利用题干中的已知条件分别求出a 、b 、c ，从而写出椭圆W 的方程；（2）设直线l 的方程为y kx m =+，将直线l 的方程与椭圆W 的方程联立，借助韦达定理求出弦长AB ，并求出原点到直线l 的距离d ，然后以AB 为底边，d 为高计算AOB ∆的面积，利用基本不等式验证1k =时和2k =时AOB ∆的验证知（*）成立；当2k =时，因为AOB S ∆=，20.（本小题满分13分）在数列{}n a 中，()1n a n N n*=∈. 从数列{}n a 中选出()3k k ≥项并按原顺序组成的新数列记为{}n b ，并称{}n b 为数列{}n a 的k 项子列. 例如数列12、13、15、18为{}n a 的一个4 项子列.（1）试写出数列{}n a 的一个3项子列，并使其为等比数列；（2）如果{}n b 为数列{}n a 的一个5项子列，且{}n b 为等差数列，证明：{}n b 的公差d 满足104d -<<；（3）如果{}n c 为数列{}n a 的一个6项子列，且{}n c 为等比数列，证明：1234566332c c c c c c +++++≤.【答案】（1）答案不唯一. 如3项子列：12、14、18；（2）详见解析；（3）详见解析.【解析】试题分析：（1）根据题中的定义写出一个3项子列即可；（2）根据定义得到11b ≤，利用数列{}n b 的定义与单调性得到0d >，然后由5140b b d =+>得到14d >-，从而证明104d -<<；（3）注意到数列{}n a 各项均为有理数，从而得到数列{}n c 的公比q 为正有理数，从而存在K 、L N *∈使得K q L=，并对K 是否等于1进行分类讨论，结合等比数列求和公式进行证明. 试题解析：（1）答案不唯一. 如3项子列：12、14、18； （2）由题意，知1234510b b b b b ≥>>>>>，所以 210d b b =-<. 因为 514b b d =+，11b ≤，50b >，所以 514011d b b =->-=-，解得 14d >-.543223*********M K K L K L K L KL L ⎛⎫=+++++ ⎪⎝⎭. 因为 2L ≥，K 、*M N ∈，所以 2345123456111116312222232c c c c c c ⎛⎫⎛⎫⎛⎫⎛⎫+++++≤+++++= ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭.综上，12345663 32c c c c c c+++++≤. 考点：1.新定义；2.等比数列求和。

北京市西城区2014年高三一模语文试题2014.4注意事项：1．本试卷分两部分，共1 50分，考试时间为150分钟；C．芦蒿D．应和（h色）2．依次填人甲、乙、丙三处的词语，最恰当的一项是（）A．俭朴消磨未免B．俭朴C．简朴消磨不免D．简朴3．文中加框的词语使用不正确的一项是（）A．一尘不染B．流连忘返C．如雷贯耳D．莘莘学子4．在文中第一段末句的横线上填人下列语句，衔接最恰当的一项是（）①土山的背后，缓缓流动着一条小河，②荷花池北岸上，可遥见一排高低起伏的土山，③两岸微风拂柳，又是一方胜境。

④山上松柏茂盛，树下花草丛生，别有一番风致。

A．④①③②B．②①③④c．④②①③D．②④①③5．文中“工字厅”的长联因情景交融而颇有韵味。

下面的对联与之有异曲同工之妙，且适合挂在书房中的一项是（）A．天边将满一轮月，世上还钟百岁人。

B．山川佳色澄悬镜，松竹清阴静读书。

C．贵客登堂谈真道，高朋满座叙福音。

D．精神到处文章老，学问深时意气平。

二、本大题共5小题，共25分。

阅读下面的文言文，完成6—10题。

高克恭，字彦敬。

父亨，字嘉甫，有时名。

世祖时，台、省交章论荐。

召对便殿．称旨，世祖欲官之。

固辞，归老房山卒。

克恭传家学，于群经奥义，靡不研究。

江南平，选授行台掾。

从御史大夫相威入觐，世祖顾问再三，曰：“是高嘉甫儿耶?"赐钞二千五百贯。

二十五年，入为监察御史。

是时，桑哥秉政，擢克恭右司都事，克恭刚直不阿。

明年，随使江淮行省，考核簿书文法，吏多媚上，务求严苛，克恭独持以．平恕。

出为江淮行省左右司郎中。

浙西公田七十五万顷，克恭视民所输，较私田增二十倍，奏言：“今吏民交困，宜讲求良法，保固邦本，不当重为烦扰，复循旧弊。

"疏入，不报。

有以朝命至杭增湖东夏税者，自执政以下皆取认状，独克恭不肯。

比去，克恭徐语之曰：“吾才不逮子远甚，子昔官于此不能增，而谓吾能耶?子毋重瘠吾民。

"事卒寝。

元贞二年，迁山南河北道廉访副使。

2014年北京西城区高三语文一模试题第一部分（共40分）一、本大题共5小题，每小题3分，共15分。

阅读下面文字，按要求完成1—５题。

梁实秋在他的《清华八年》一文中，曾有过这样的描述：园里谈不到什么景致，不过非常整洁，绿草如荫，校舍十分甲（俭朴/简朴），但是一尘不染．．．．。

工字厅后面是荷花池，池畔松柏参天，厅后匾额上的“ 水木清华”四字确是当之无愧。

又有长联一副，颇为精彩：槛外山光，历春夏秋冬，万千变幻，都非凡境；窗中云影，任东西南北，去来澹荡，洵是仙居。

我在这个地方不知乙（消磨/消耗）了多少黄昏。

西园榛莽未除，一片芦蒿，登高西望，圆明园的断垣残石历历可见，俯仰苍茫，别饶野趣。

这一带景色宜人，是同学们常来读书游憩而流连忘返．．．．的去处……清华园中的荷花池，后因朱自清先生的一篇《荷塘月色》，更是如雷贯耳．．．．的钦羡，使人丙．．．．，招致莘莘学子（不免/未免）心生神往，希冀也能漫步在这荷花池畔，沐朝霞，送夕阳，书声与清风相应和，度过一段终生都值得回味的读书时光。

1．文中加点词语的书写或加点字的注音不正确的一项是 AA茵 B槛．（jiàn）外山光 C芦蒿 D应和（hè）2．依次填入甲、乙、丙三处的词语，最恰当的一项是 CA俭朴消磨未免 B俭朴消耗不免C简朴消磨不免 D简朴消耗未免俭朴：即节俭朴素。

简朴：（语言、文笔、生活作风等）简单朴素。

消磨：①度过（时间，多指虚度）；②使意志精力等逐渐消失。

消耗:（精神、东西、力量等）因使用或受损失而逐渐减少。

未免：①实在是,不能不说是；②表示说话人对于某种行为、举动的否定的态度，含有不赞许，不以为然的意思。

虽然旨在否定，但口气比较委婉。

不免：相当于“免不了，少不了”，表示由于某种原因而自然导致某种结果。

这种结果可以是已经出现了，也可以是未实现的。

3．文中加点的词语使用不正确的一项是 CA一尘不染 B流连忘返 C D莘莘学子一尘不染：原指佛教徒修行时，排除物欲，保持心地洁净。

北京市西城区2014年高三一模语文试题注意事项：1．本试卷分两部分，共1 50分，考试时间为150分钟；2．请将答案全部写在答题纸上；3．考试结束，请将试卷与答题纸一并交回。

第一部分(共40分)一、本大题共5小题，每小题3分，共15分。

阅读下面文字，按要求完成1—5题。

梁实秋在他的《清华八年》一文中，曾有过这样的描述：园里谈不到什么景致，不过非常整洁，绿草．．如荫．．，校舍十分甲（俭朴／简朴），但是一尘不染。

工字厅后面是荷花池，池畔松柏参天，厅后匾额上的“水木清华”四字确是当之无愧。

又有长联一副，颇为精彩：槛外山光，历春夏秋冬，万千变幻，都非凡境；窗中云影，任东西南北，去来澹荡，洵是仙居。

我在这个地方不知乙（消磨／消耗）了多少黄昏。

西园榛莽未除，一片芦蒿，登高西望，圆明园的断垣残石历历可见，俯仰苍茫，别饶野趣。

这一带景色宜人，是同学们常来读书游憩而流连忘返的去处……清华园中的荷花池，后因朱自清先生的一篇《荷塘月色》，更是如雷贯耳，招致莘莘学子的钦羡，使人丙（未免／不免）心生神往，希冀也能漫步在这荷花池畔，沐朝霞，送夕阳，书声与清风相应和，度过一段终生都值得回味的读书时光。

1．文中加点词语的书写或加点字的注音不正确的一项是A．绿草如荫B．槛（jiàn）外山光C．芦蒿D．应和（h色）2．依次填人甲、乙、丙三处的词语，最恰当的一项是A．俭朴消磨未免B．俭朴C．简朴消磨不免D．简朴3．文中加框的词语使用不正确的一项是A．一尘不染B．流连忘返C．如雷贯耳D．莘莘学子4．在文中第一段末句的横线上填人下列语句，衔接最恰当的一项是①土山的背后，缓缓流动着一条小河，②荷花池北岸上，可遥见一排高低起伏的土山，③两岸微风拂柳，又是一方胜境。

④山上松柏茂盛，树下花草丛生，别有一番风致。

A．④①③②B．②①③④c．④②①③D．②④①③5．文中“工字厅”的长联因情景交融而颇有韵味。

下面的对联与之有异曲同工之妙，且适合挂在书房中的一项是A．天边将满一轮月，世上还钟百岁人。

市西城区2014年高三一模试卷英语2014.4本试卷共11页，共150分。

考试时长120分钟。

考生务必将答案答在答题卡上，在试卷上作答无效。

考试完毕后，将本试卷和答题卡一并交回。

第一部分：听力理解（共三节，30分）第一节（共5小题；每小题1.5分，共7.5分）听下面5段对话。

每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最正确选项。

听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话你将听一遍。

例：What is the man going to read?A. A newspaper.B. A magazine.C. A book.答案是A。

1．What will the man and woman probably do?A. Stay where they are.B. Go for a walk.C. Go to a coffee shop.2．What is the woman probably doing?A. Asking for help.B. Making an appointment.C. Giving advice. 3．What does the man want to do now?A. Prepare the schedule.B. Talk about the schedule.C. Take a rest. 4．What does the woman feel about the US?A. Bored.B. Curious.C. Disappointed. 5．When will the woman meet with Mr. Smith?A. 12:00.B. 1:30.C. 2:00.第二节（共10小题；每小题1.5分，共15分）听下面4段对话或独白。

每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最正确选项。

2014年北京西城区高三一模英语试卷-学生用卷一、单项选择1、【来源】 2014年北京西城区高三一模第1题Tony is fantastic pianist. I'm absolutely certain that his concert this Sunday will be success.A. a; aB. a; theC. the; theD. the; a2、【来源】 2014年北京西城区高三一模第2题It's going to take ages to get to the airport this way. Can't you go ______?A. fastB. any fasterC. fastestD. as fast3、【来源】 2014年北京西城区高三一模第3题The artist was very proud of his creation and called it the best painting ______ he had ever done．A. whoseB. whichC. whenD. that4、【来源】 2014年北京西城区高三一模第4题In your life, sometimes you might end up back you started.A. whoB. whenC. whereD. which5、【来源】 2014年北京西城区高三一模第5题2015~2016学年北京西城区北京市第一五九中学高三上学期月考第12题Every December Nobel Prizes to people who have made outstanding contributions to the world.A. awardB. are awardedC. awardedD. were awarded6、【来源】 2014年北京西城区高三一模第6题The tour guide reminded people to be careful when ______ off the boat．A. steppingB. steppedC. to stepD. step7、【来源】 2014年北京西城区高三一模第7题—Oh, I want to give up now.—Come on!doesn't kill you makes you stronger.A. WhicheverB. WhateverC. WhoeverD. Whenever8、【来源】 2014年北京西城区高三一模第8题E-shoppers to 300 million by the end of last year.A. had grownB. grewC. have grownD. grow9、【来源】 2014年北京西城区高三一模第9题Last night the naughty boy climbed the wall and jumped into the swimming pool only to find there was no water．A. acrossB. overC. throughD. for10、【来源】 2014年北京西城区高三一模第10题______ at the way he had been treated in the hotel, John complained to the manager．A. Having disappointedB. DisappointingC. DisappointedD. To disappoint11、【来源】 2014年北京西城区高三一模第11题You should plan for things that ____happen and not just react to things that have happened．A. needB. shouldC. mustD. might12、【来源】 2014年北京西城区高三一模第12题2015~2016学年12月北京海淀区北京市育英中学高二上学期月考第12题I'm glad that you had a good time at the tea party. I wish I there !A. have beenB. wasC. wereD. had been13、【来源】 2014年北京西城区高三一模第13题Waterfalls never fail to attract and in Guangxi Province are no exception.A. theyB. itC. thoseD. that14、【来源】 2014年北京西城区高三一模第14题Coming back after four years of studying abroad, she was busy phoning herfriends together．A. gettingB. to getC. getD. got15、【来源】 2014年北京西城区高三一模第15题—Your family is moving to Hawaii? Why?—We about a change of scenery for some time.A. have been thinkingB. had thoughtC. thinkD. thought二、完型填空16、【来源】 2014年北京西城区高三一模第16题2018~2019学年北京朝阳区北京陈经纶中学高一上学期期中第21~40题30分(1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5分,1.5.1.5分)Cell Phone MadnessWhen I opened the box at my 12th birthday party, I couldn't believe my eyes. I had really gotten a cell phone!As soon as I got to my1the next morningI2off my phone and asked everyone for their3.It felt like I didn't even4in that class anymore. I wouldn't pay much attention to the teachers because I was too busy on my5. Luckily I didn'tget 6using it.I was pretty7that the teacher did8that I stopped paying attention to her9 a week later we took a test and I failed. To make matters10, my mom had to11the test.It was hard to show my mom the12. She was used to seeing A's and B's on my tests. Well, eventually, I showed her and she couldn't13it. She was angry but most of all, she was disappointed.Weeks passed and my parents started to14the fact that I had a phone. They would say, "We have noticed that you never pay attention to us. It's like you have your ownlittle15now and we don't communicate as much with your phone."I acted like they were wrong, but then I started to wonder if it was true that I was spending toomuch16on the phone.A week later I tried17 a whole day without a cell phone and it didn't go that badly. I had so much18because I was actually spending time with my family and paying attention to them. From that day, I had a different point of view towards cell phones.Phones really take you away from the rest of the world. I'm not saying that phonesare19and not to use them, but you do have to spare some time to spend with your family and not get20with your phone all day. My phone took away time from my homework and from my family. It also affected my grades.I will keep using my phone, but I will have it under better control.A. officeB. schoolC. storeD. homeA. tookB. putC. turnedD. showedA. numberB. nameC. helpD. addressA. comeB. handC. giveD. existA. jobB. testC. phoneD. deskA. caughtB. allowedC. troubledD. appreciatedA. proudB. doubtfulC. sureD. angryA. mentionB. noticeC. preventD. punishA. untilB. beforeC. thoughD. becauseA. clearerB. easierC. worseD. betterA. readB. signC. doD. makeA. boxB. bookC. homeworkD. paperA. believeB. receiveC. seeD. achieveA. ignoreB. dislikeC. acceptD. enjoyA. secretB. ideaC. worldD. dreamA. timeB. forceC. moneyD. controlA. studyingB. workingC. goingD. thinkingA. troubleB. worryC. funD. improvementA. goodB. badC. necessaryD. usefulA. interestedB. pleasedC. annoyedD. stuck三、阅读理解17、【来源】 2014年北京西城区高三一模（A篇）第17题2017~2018学年北京西城区北京市第一五九中学高三上学期期中第56~58题6分How to look good in a photo?What should you do if you want to have a nice photo taken? Whether it's work or fun, the most important thing is lighting. If you get bad lighting, you will look bad, too. Know where the light is. You don't want it below you or above you, you want it to shine directly at you.The key thing is no shadow. If you are being photographed outside, do it in the morning, or wait till the 2 o'clock shadow has passed. Also don't let pictures in the magazines stress you out—all the pictures are taken by great photographers. And all the faces have had pimples（丘疹，粉刺） taken out by computers.Tip your head and learn what angles work with your face; everyone is different. So you have to learn what suits you. You can practice in Photo Booth for as long as it is your turn, to learn what angles suit your face. Tip your neck to make it look longer, make eye contact with the camera. No one can look bad if they smile．For long legs, point one leg into center of the frame and get the photographer to shoot looking up your body.For just leg shots, lie upside down and raise legs in the air for the best angle. And your legs will look thinner and be in better shape.Keep shoulders back.Always have mouth slightly open, enough to put a penny between your lips, as this will make your lips look fuller.Lower your eyes and then look up just as shutter （快门） is clicked for full eyes.Delete any evidence of a less than perfect photogenic moment, everyone has off days.(1) If you want to look good in a photo, the light should be．A. below youB. above youC. directly at youD. right behind you(2) According to the passage, we should consider all EXCEPT．A. lightB. shadowC. anglesD. photographers(3) What advice does the author give on taking photos?A. Raise legs on the wall.B. Look down.C. Keep shoulders back.D. Put a penny between lips.18、【来源】 2014年北京西城区高三一模（B篇）第18题Throughout my 41 years at General Electric, I've experienced a lot．In the media, I've gone from prince to pig and back again. And I've been called many things.In the early days, some called me a crazy, wild man. When I became CEO two decades ago, Wall Street asked, "Jack who? "When I tried to make GE more competitive by cutting back our workforce in the early 1980s, the media called me "Neutron Jack." When they learned we were focused on values and culture at GE, people asked if "Jack has gone soft." I've been No.1 or No.2 Jack, Services Jack, Global Jack, and, in more recent years, Six Sigma Jack and e-Business Jack.When we made an effort to acquire Honeywell in October 2000, and I agreed to stay on through the transition （过渡期）, some thought of me as the Long-in-the-Tooth Jack hanging on by his fingertips to his CEO job.Those characterizations said less about meant a lot more about the stage our company went through. Truth is, down deep, I've never really changed much from the boy my mother raised in Salem, Massachusetts.When I started on this journey in 1981, standing before Wall Street analysts for the first time at New York's Pierre Hotel, I said I wanted GE to become "the most competitive enterprise on earth." Myobjective was to put a small-company spirit in a big-company body, to build an organization out of an old-line industrial company that would be more high-spirited, more adaptable, and more flexible than companies that are one-fiftieth our size. I said then that I wanted to create a company "where people dare to try new things, where people know that only the limits of their creativity and drive, their own standards of personal excellence, will be the ceiling on how far and how fast they move."I've put my mind, my heart, and my courage into that TAL#NBSP journey every day of the 40-plus years I've been lucky enough to be a part of GE.(1) According to the first two paragraphs, the author．A. had many ups and downsB. had a poor image in publicC. became CEO of GE 41 years agoD. suffered from some mental illnesses(2) As the author sees it, the many nicknames of him indicate．A. the change of his character with the timeB. the various opinions of different journalistsC. his company's different stages of developmentD. his popularity among his friends and relatives(3) According to the author, GE in 1981．A. should seek broader space for developmentB. was the most competitive company in the worldC. differed from many old-line industrial companiesD. was a big company with a small-company's spirit(4) What does the underlined word "journey" in the last paragraph probably mean?A. Taking GE to a new height．B. Travelling from home to office．C. Seeking a higher position in GED. Growing from a baby into an adult．19、【来源】 2014年北京西城区高三一模（C篇）第19题2017~2018学年广东广州天河区华南师范大学附属中学高三上学期周测6第8~11题8分2019~2020学年北京西城区北京师范大学附属中学高一上学期期末第48~51题8分2017~2018学年北京东城区北京景山学校高三上学期期中第59~62题8分2017~2018学年北京东城区北京市第五中学高三下学期期中第58~61题8分College students constantly hear the praises of education. We have all become used to believing that a college education is always a guarantee of an easier life. I was nine years old when my fourth-grade teacher presented me with a task, to write down all of the things I wanted in my life. I filled my paper with things like: own a big house and have servants; be rich and have a good job. The next day my teacher handed back my paper and in red ink she wrote: "GO TO COLLEGE." For a long time, I was convinced that once I obtained an education, BAM! Life would be easier.However, education cannot promise all wishes, dreams, and desires. Society must reject the foolish idea that a college education's main purpose is to satisfy our desires and secure success. Like most challenging things, education is a gamble（赌博）in which results depend entirely on people's ability to look past their wants to see the realism and reason behind their wants.For instance, my first year of college, I took a sociology class. In class, we were taught that Third World countries were poor. We learned that our quality of life would be almost impossible for an average person in those countries. I began to examine my own desire to be rich. To always go after money felt selfish when knowing others had none at all. Learning about other society's financial situations forced me to look beyond what I wanted.Through the process of education, everything once desired is tested. Wanting something no longer is enough; it's more important to examine why we want it and whether we really want it. When my desire for money changed, everything changed. I stopped longing for money-driven careers and stopped valuing the people who had them. I began to examine the things I purchased and my reason for wanting them.Education is a tool to be used to develop and advance our desires, so we can discover the things that are truly significant in life. Education is a source to expand our society to see beyond the superficial（表面的）appeals and the "quick fixes", leaving the belief of an effortless life behind in order to desire a meaningful one.(1) The author's fourth-grade teacher probably agreed that.A. the author was an ambitious studentB. the author should set more realistic goalsC. a college student would lead an easier lifeD. a college degree was the key to the author's dreams(2) Why does the author mention her sociology class?A. To share her learning experiences with readers.B. To support her new understanding about education.C. To express her sympathy for people in Third World.D. To stress the importance of taking a sociology course.(3) With a college education, the author.A. envied rich peopleB. lost interest in careerC. desired more material thingsD. stopped always seeking more wealth(4) What's the main idea of the passage?A. College education promises an effortless life.B. College education tests and guides our life desires.C. College education offers solutions to social problems.D. College education turns young people into gamblers.20、【来源】 2014年北京西城区高三一模（D篇）第20题The word proactivity is fairly common in management literature, but you won't find it in the dictionary. It means that as a human being you take responsibility for your own life.Look at the word responsibility: ability to choose your response, response-ability. Effective people are proactive because they take responsibility. Their behavior is a product of their own decisions, based on values, rather than being a product of their own conditions, based on feelings. For instance, you are planning a picnic with your family. You're excited. You have all the preparations. You've decided where to go, and then it becomes stormy, killing your plan．Proactive people carry weather within them. They realize what their purpose really was, and they creatively have a picnic else where even if it's in their own basement with some special games, and make the best of that situation．The opposite of being proactive is to be reactive．Reactive people would say, "What's the use? " "We can't do anything." "Oh this is so upsetting after all of our preparations and arrangements." They try to persuade the people around them and usually the picnic will be cancelled.Being proactive is really just being true to your human nature. Your basic nature is to act, and not to be acted upon. That's true, despite widely accepted theories of determinism used to explain human nature. Determinism says that you don't really choose anything and that what you call choices are nothing more than automatic responses to outside conditions.The language of reactive people is like: "I can't." " Don't have time." "I have to." " I must." The whole spirit of that language is the transfer of responsibility. They think things are determined by their environment, or by their conditions, or by their conditioning or their genetic （基因的）make up. Psychologically, people who believe they are determined will produce the evidence to support the belief, and they increasingly feel victimized and out of control. They're not in charge of their life at all.On the contrary, a proactive person exercises free will, the freedom to choose the response that best applies to his values. In that way, he gains control over the circumstances, rather than being controlled by them.(1) According to the passage, a proactive person's behavior can result from．A. the environmentB. an inner beliefC. the genetic make upD. a temporary feeling(2) When a picnic plan is threatened by a sudden storm, reactive people willprobably．A. have the picnic as plannedB. make the best of the picnicC. complain and give up the picnicD. find somewhere else for the picnic(3) What does "carry weather within them" in the second paragraph probably mean?A. Manage to improve the weather．B. Give in to the weather passively．C. Stress the influence of the weather．D. Find a solution to the weather problems．(4) It can be concluded from the passage that determinists．A. accept things passivelyB. are in charge of themselvesC. are similar to proactive peopleD. respond to outside conditions actively四、七选五21、【来源】 2014年北京西城区高三一模第21题2019~2020学年北京东城区北京市第五十五中学高一上学期期中第81~85题10分(每题2分)2016~2017学年北京海淀区北京一零一中学高一下学期期中第61~65题10分(每题2分)2019~2020学年北京海淀区北京一零一中学高一下学期期末第65~69题10分Where would you most like to go on vacation? Paris? London? The Amazon Rainforest? Each of these destinations is attractive.1As a new word, staycation refers to people staying at home during their vacation time, and going sightseeing around their hometown.Staycations have become really popular recently, as a way of having an enjoyable vacation, without spending too much money. There are shortcomings to every positive thing, however.2You also might prevent yourself from enjoying things to the fullest, as the atmosphere might be the same as any other time.3It means you won't be available for work or other activities.What can you do to make your staycation fun?1. Go to a nearby town, or to a fancy hotel in your hometown and stay over night. Treat yourself to room service and any other fun things the hotel has to offer.2.4You would have done it on a vacation, right? Treat yourself to this, at least for one day!3. Throw a small party. Think about the money you are saving by not going away. You will still save money, but have more fun, and you will help other people to have fun too!4. Go shopping! Window shopping, or the super fun type, where you buy things! You would have bought souvenirs （纪念品） if you had gone on a vacation, so treat yourself during your staycation!The most important thing to remember is to do things that make you and your familyexcited!5A. Eat out for every meal!B. Go on a day trip to a nearby town, or to a beach.C. But why not remain at home and enjoy a staycation?D. If you are on a staycation, you might get calls from work.E. Most of the time it involves dining out more frequently than usual.F. Make sure you all have fun, and when it is over, you feel refreshed.G. The trick is to make sure your friends and coworkers know you are on a staycation.五、书面表达22、【来源】 2014年北京西城区高三一模第22题假如你是校学生会主席。

北京市西城区2014年高三一模地理试题本试卷共300分。

考试时长150分钟。

考生务必将答案答在答题卡上，在试卷上作答无效。

考试结束后，将本试卷和答题卡一并交回。

第一部分(选择题共140分)本卷共35小题，每小题4分，共计140分。

在每小题列出的四个选项中，选出最符合题目要求的一项。

图1是“纳米布沙海”的景观照片，它位于非洲西南部大西洋沿岸，是世界上最古老、最干燥的沿海沙漠之一，2013年6月被列入世界自然遗产名录。

读图，回答第1题。

1．该景观A．具有鲜明季节特点B．雨过天晴观赏最佳C．所在地区经济发达D．有较高的科学价值读图2和图3，回答第2～4题。

2．图中A．黄河的干流由北向南流B．降水分布特点主要受夏季风影响C．南部植被为常绿阔叶林D．贺兰山为我国地势二、三级阶梯分界线3．宁夏A．干旱危害最严重的地区降水量也最少B．黄河沿岸引水灌溉，干旱危害程度低C．中东部的草原区对干旱的承受能力较强D．中西部第一产业为主，抵御干旱能力较强4．为促进区域可持续发展，宁夏应采取的措施是A．引黄灌区增加水稻种植，提高粮食产量B．中部大规模植树造林，治理土地荒漠化C．山区恢复天然植被，。

增强水源涵养功能D．产业结构升级，大力发展第二、三产业5．在图4“地理要素关联示意图”中，①②③④依次是A．大气、下垫面、太阳辐射、人类活动B．太阳辐射、大气、下垫面、人类活动C．人类活动、太阳辐射、下垫面、大气D．下垫面、太类活动、大气、太阳辐射2013年1l月7日“雪龙号”由上海出发前往南极中山站，12月19目开始我国首次环南极航行，2014年2月25日成功返回中山站。

读图5，回答第6～8题。

6．雪龙号A．离开上海时正值长江丰水期B．在太平洋海域航行始终逆风C．到弗里曼特尔正值当地少雨时节D．抵达中山站前要穿过极地东风带7．环南极航行A．中山站到鸟斯怀亚，地球自转速度越来趱陕B．乌斯怀亚到长城站，正午桅杆影子越来越短C．长城站到中山站，船由西半球进入到东半球D．一路始终保持向西行驶，路线呈顺时针方向8．与弗里曼特尔相比，乌斯怀亚作为南极科考补给基地的优势是A．地热资源丰富B．港口设施完备C．农业基础雄厚D．距南极大陆近读图6，回答第9、10题。

北京市西城区 2014 年高三一模试卷理科综合能力测试本试卷分为选择题和非选择题两个部分，选择题 1-5 页，非选择题 6-15 页，共 300 分。

考试时长 150 分钟。

考生务必将答案填写在答题卡上和答题纸的相应区域内，在试卷上作答无效。

考试结束后，将本试卷及答题卡和答题纸一并交回。

可能用到的相对原子质量：选择题（共 20题每小题6分共120分）在每小题列出的四个选项中，选出符合题目要求的一项。

1．下列生理过程中，没有蛋白质参与的是．．A．有丝分裂后期染色体移向细胞两极B．垂体分泌激素调控甲状腺的活动C．细胞核中DNA 转录形成mRNAD ．细胞内产生的CO2进入内环境2．下列关于细胞呼吸的叙述正确的是A．种子萌发过程中细胞呼吸速率没有明显变化B．细胞中 ATP/ADP 的比值下降可促进细胞呼吸C．细胞呼吸过程中产生 CO2的场所是线粒体基质D ．检测 CO2产生可判断乳酸菌是否进行细胞呼吸3．下列关于越野滑雪比赛时运动员的内环境稳态调节的叙述中，不正确．．．的是A．运动员大量出汗导致血浆内抗利尿激素的含量降低B．比赛中血糖含量降低时，胰高血糖素的含量升高C．寒冷刺激引起下丘脑产生兴奋并分泌相关激素D．内环境稳态调节过程中内分泌系统受神经系统的调控4．米象是一种以小麦种子为食、活动能力弱的昆虫。

在食物与空间不受限制、没有天敌的环境中，温度和小麦含水量对该种温带米象种群r m增长率（ r m）的影响，如右图所示。

据此做出的分析不正确的是．．．A．调查小麦中米象的种群密度时需随机取样B．在 30℃、小麦含水量 14%时米象危害较重C．在 25℃、含水量10%时米象种群数量开始下降D．若研究对象为热带米象，曲线峰值将向右移动5．下列关于生物学实验的叙述不正确的是．．．0.80含水量 14% 0.600.40含水量 11% 0.20含水量 10% 0101520253035 温度 /℃生活于不同含水量和温度的小麦米象的种群增长率A．检测细胞中蛋白质的原理是蛋白质与双缩脲试剂发生紫色反应B．观察植物细胞有丝分裂，用盐酸处理根尖可使细胞容易分开C．粗提取 DNA 是利用 DNA 与二苯胺在加热条件下反应呈蓝色D．利用比色法测定泡菜中亚硝酸盐含量需要先配制标准样液非选择题（共 11题共 180 分）29．（ 16 分）研究者以脱落酸水平正常的野生型玉米幼苗和脱落酸缺陷型突变体玉米幼苗为材料，测量玉米茎和根在不同水分条件下的生长情况，结果如下图所示。

一、选择题：本大题共12个小题,每小题5分,共60分.在每小题给出的四个选项中，只有一项 是符合题目要求的.1.设全集{}02U x x =<<，集合{}01A x x =<≤，则集合U A =ð（ ）A.()0,1B.(]0,1C.()1,2D.[)1,22.已知平面向量()2,1a =-，()1,3b =，那么a b +等于（ ）A.5B.13C.17D.133.已知双曲线()2222:10,0x y C a b a b-=>>的虚轴长是实轴长的2倍，则此双曲线的离心 率为（ ）A.2B.2C.3D.55=，故选D.考点：1.双曲线的几何性质；2.双曲线的离心率4.某几何体的三视图如图所示，则该几何体的体积为（ ）A.2B.43C.4D.55.下列函数中，对于任意x R ∈，同时满足条件()()f x f x =-和()()f x f x π-=的函数是（ ）A.()sin f x x =B.()sin cos f x x x =C.()cos f x x =D.()22cos sin f x x x =-()22cos sin cos2f x x x x =-=，该函数是偶函数，且以π为最小正周期的周期函数，故选D.正(主)视图 俯视图 侧(左)视图 2 3 1 251考点：1.二倍角公式；2.三角函数的奇偶性与周期性6.设0a >，且1a ≠，则“函数log a y x =在()0,+∞上是减函数”是“函数()32y a x =-在R 上是增函数”的（ ）A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件7.某企业为节能减排，用9万元购进一台新设备用于生产. 第一年需运营费用2万元，从第二年起，每年运营费用均比上一年增加2万元，该设备每年生产的收入均为11万元. 设该设备使用了()n n N *∈年后，盈利总额达到最大值（盈利额等于收入减去成本），则n 等于（ ）A.4B.5C.6D.78.如图，设P 为正四面体A BCD -表面（含棱）上与顶点不重合的一点，由点P 到四个顶点的距离组成的集合记为M ，如果集合M 中有且只有2个元素，那么符合条件的点P 有（ ）A.4个B. 6个C.10个D.14个【答案】C【解析】试题分析：分以下两种情况讨论：（1）点P 到其中两个点的距离相等，到另外两点的距离分别相等，且这两个距离不等，此时点P 位于正四面体各棱的中点，符合条件的有6个点；（2）点P 到其中三个点的距离相等，到另外一点的距离与它到其它三点的距离不相等，此时点P 在正四面体各侧面的中心点，符合条件的有4个点，故选C.考点：新定义第Ⅱ卷（共110分）二、填空题：本大题共6小题，每小题5分，共30分．9.设复数12i x yi i-=++，其中x 、y R ∈，则x y +=______.10.若抛物线2:2C y px =的焦点在直线20x y +-=上，则p =_____；C 的准线方程为_____. 4p =，此时抛物线的准线方程为2x =-.BAD C . P考点：抛物线的几何性质11.已知函数()3,01,01x x f x x x +≤⎧⎪=⎨>⎪+⎩，若()02f x =，则实数0=x ______；函数()f x 的最大值为_____．12.执行如图所示的程序框图，如果输入2a =，2b =，那么输出的a 值为______.【答案】256.【解析】试题分析：3log 24>不成立，执行第一次循环，224a ==； 3log 44>不成立，执行第二次循环，2416a ==；4333log 164log 3log 81>==不成立，执行第三次循环，216256a ==； 开始b a a =3log 4a >输出a结束 否 是 输入a , b33log 2564log 81>=成立，跳出循环体，输出a 的值为256，故选C.考点：算法与程序框图13.若不等式组1026ax y x y x y ≥⎧⎪≥⎪⎨+≤⎪⎪+≤⎩表示的平面区域是一个四边形，则实数a 的取值范围是_______.范围是()3,5.考点：线性规划14.如图，在直角梯形ABCD 中，//AB CD ，AB BC ⊥，2AB =，1CD =，2BC =，P 为线段AD （含端点）上一个动点，设AP xAD =，PB PC y ⋅=，记()y f x =，则()1f =____； 函数()f x 的值域为_________.因为()()205080441f f =⨯-⨯+=>，因此()()max 04f x f ==， 所以函数()f x 的值域为4,45⎡⎤⎢⎥⎣⎦. A BD CP考点：1.平面向量的数量积；2.二次函数三、解答题 （本大题共6小题，共80分.解答应写出文字说明、证明过程或演算步骤.）15.（本小题满分13分）在ABC ∆中，角A 、B 、C 所对的边分别为a 、b 、c .已知222b c a bc +=+.（1）求A 的大小；（2）如果6cos 3=B ，2b =，求a 的值.考点：1.正弦定理与余弦定理；2.同角三角函数的基本关系16.（本小题满分13分）某批次的某种灯泡共200个，对其寿命进行追踪调查，将结果列成频率分布表如下. 根据寿命将灯泡分成优等品、正品和次品三个等级，其中寿命大于或等于500天的灯泡是优等品，寿命小于300天的灯泡是次品，其余的灯泡是正品. 寿命（天） 频数 频率[)100,20010 0.05 [)200,30030 a [)300,400 70 0.35[)400,500 b 0.15[)500,60060 c 合计 200 1（1）根据频率分布表中的数据，写出a 、b 、c 的值；（2）某人从这200个灯泡中随机地购买了1个，求此灯泡恰好不．是次品的概率； （3）某人从这批灯泡中随机地购买了()n n N *∈个，如果这n 个灯泡的等级情况恰好与按．三个．．等级分层抽．．．．．样．所得的结果相同，求n 的最小值.所以n 的最小值为10.考点：1.频率分布表；2.古典概型17.（本小题满分14分）如图，在四棱锥S ABCD -中，底面ABCD 是矩形，2AD AB =，SA SD =，SA AB ⊥， N 是棱AD 的中点.（1）求证：//AB 平面SCD ；（2）求证：SN ⊥平面ABCD ；（3）在棱SC 上是否存在一点P ，使得平面PBD ⊥平面ABCD ？若存在，求出SP PC的值；若不存在，说明理由.【答案】（1）详见解析；（2）详见解析；（3）存在，且12SP PC =. 所以 SN AD ⊥.又因为 AB AD A =，所以 SN ⊥平面ABCD .（3）如图，连接BD 交NC 于点F ，在平面SNC 中过F 作//FP SN 交SC 于点P ，连接PD 、PC . B CA D S N因为 SN ⊥平面ABCD ，所以FP ⊥平面ABCD . 又因为FP ⊂平面PBD ，所以平面PBD ⊥平面ABCD . 在矩形ABCD 中，因为//ND BC ， 所以12NF ND FC BC ==. 在SNC ∆中，因为//FP SN ， 所以12NF SP FC PC ==. 则在棱SC 上存在点P ，使得平面PBD ⊥平面ABCD ，此时12SP PC =. 考点：1.直线与平面平行的判定与性质；2.直线与平面垂直 18.（本小题满分13分）已知函数()ln af x x x=-，其中a R ∈. （1）当2a =时，求函数()f x 的图象在点()()1,1f 处的切线方程； （2）如果对于任意()1,x ∈+∞，都有()2f x x >-+，求a 的取值范围. 【答案】（1）350x y --=；（2）(],1-∞-. 【解析】试题分析：（1）将2a =代入函数解析式，求出()1f '及()1f 的值，利用点斜式写出切线方程；（2）利用参数分离法将()2f x x >-+转化为2ln 2a x x x x <+-，构造新函数()2ln 2g x x x x x =+-，问题转化为()min a g x <来求解，但需注意区间()1,+∞端点值的取舍. 试题解析：（1）由()2ln f x x x =-，得()212f x x x'=+， 所以()13f '=， 又因为()12f =- ，B CA DSNFP所以函数()f x 的图象在点()()1,1f 处的切线方程为350x y --=；19.（本小题满分14分）已知椭圆()2222:10x y W a b a b+=>>的焦距为2，过右焦点和短轴一个端点的直线的斜率为1-，O 为坐标原点. （1）求椭圆W 的方程.（2）设斜率为k 的直线l 与W 相交于A 、B 两点，记AOB ∆面积的最大值为k S ，证明：12S S =.【答案】（1）2212x y +=；（2）详见解析. 【解析】试题分析：（1）利用题干中的已知条件分别求出a 、b 、c ，从而写出椭圆W 的方程；（2）设直线l 的方程为y kx m =+，将直线l 的方程与椭圆W 的方程联立，借助韦达定理求出弦长AB ，并求出原点到直线l 的距离d ，然后以AB 为底边，d 为高计算AOB ∆的面积，利用基本不等式验证1k =时和2k =时AOB ∆的验证知（*）成立；当2k =时，因为()22299AOB S m m ∆=-，20.（本小题满分13分）在数列{}n a 中，()1n a n N n*=∈. 从数列{}n a 中选出()3k k ≥项并按原顺序组成的新数列记为{}n b ，并称{}n b 为数列{}n a 的k 项子列. 例如数列12、13、15、18为{}n a 的一个4 项子列.（1）试写出数列{}n a 的一个3项子列，并使其为等比数列；（2）如果{}n b 为数列{}n a 的一个5项子列，且{}n b 为等差数列，证明：{}n b 的公差d 满足104d -<<；（3）如果{}n c 为数列{}n a 的一个6项子列，且{}n c 为等比数列，证明：1234566332c c c c c c +++++≤.【答案】（1）答案不唯一. 如3项子列：12、14、18；（2）详见解析；（3）详见解析.【解析】试题分析：（1）根据题中的定义写出一个3项子列即可；（2）根据定义得到11b ≤，利用数列{}n b 的定义与单调性得到0d >，然后由5140b b d =+>得到14d >-，从而证明104d -<<；（3）注意到数列{}n a 各项均为有理数，从而得到数列{}n c 的公比q 为正有理数，从而存在K 、L N *∈使得K q L=，并对K 是否等于1进行分类讨论，结合等比数列求和公式进行证明. 试题解析：（1）答案不唯一. 如3项子列：12、14、18； （2）由题意，知1234510b b b b b ≥>>>>>，所以 210d b b =-<. 因为 514b b d =+，11b ≤，50b >，所以 514011d b b =->-=-，解得 14d >-.543223*********M K K L K L K L KL L ⎛⎫=+++++ ⎪⎝⎭. 因为 2L ≥，K 、*M N ∈，所以 2345123456111116312222232c c c c c c ⎛⎫⎛⎫⎛⎫⎛⎫+++++≤+++++= ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭.综上，12345663 32c c c c c c+++++≤. 考点：1.新定义；2.等比数列求和。

北京市西城区2014年高三一模文综试题本试卷共300分。

考试时长150分钟。

考生务必将答案答在答题卡上，在试卷上作答无效。

考试结束后，将本试卷和答题卡一并交回。

第一部分(选择题共140分)本卷共35小题，每小题4分，共计140分。

在每小题列出的四个选项中，选出最符合题目要求的一项。

12．西周末年，幽王宠爱妃子褒姒，废掉申后及太子，以褒姒为后。

申后之父申侯联络犬戎举兵，杀了幽王。

申侯起兵的理由应该是A．君君臣臣父父子子B．得民心者得天下C．嫡庶有别长幼有序D．顺乎天而应乎人13．西方学者称中国古代某学说为“．Neo-Confucianism”，这是一种融儒家、佛教和道教等诸因素于一体的哲学，提供了一套维护儒家伦理秩序的形而上学体系。

该“学说”是指A．孔孟儒学B．董仲舒的新儒学C．程朱理学D．明末清初的儒学14．以下历史现象，出现时间最晚的是A．王大令众人日协田B．大抵诸酒肆瓦市，不以风雨寒暑，白昼通夜C．乃作翻车，令童儿转之，而灌水自覆D．其货物均系江浙等省商民贩运来粤，转售外夷，载运回国15．“肇始于隋朝，行于唐世，扩于五代，而精于宋人。

"横线处的文字是A．雕版B．造纸C．指南针D．火药16．图8可用来说明的主题有①近代中国工业化的地区差异②民族资本主义企业诞生的原因③近代中国工业的合理布局④外国资本主义入侵造成的危害A．②④B．①②C．①④D．②③17．陈独秀在《新文化运动是什么》中说：“新文化运动影响到产业上，应该令劳动者觉悟他们自己的地位，令资本家要把劳动者当做同类的‘人’看待，不要当做机器、牛马、奴隶看待。

”该文应该发表于A．1913年B．：1915年C．1917年D．1920年1 8．观察图9，该硬币A．发行于国共合作时期B．是中央红军在瑞金发行的C．可用来研究中国共产党的政权建设D．可用来研究中国共产党开展的土地革命19．20世纪三、四十年代，日本在中国东北重点发展煤炭、钢铁、水泥、机械等重工业。