【2014西城一模】北京市西城区2014届高三一模试卷英语Word版含答案

北京市西城区2014年高三一模试卷13. 下列说法中正确的是A ．随着分子间距离增大，引力减小但斥力增大B ．温度是分子热运动平均动能标志C ．外界对系统做功，系统内能一定增加 D. 系统从外界吸收热量，系统内能一定增加14. 已知质子、中子、氘核质量分别是m 1、m 2、m 3，光速为c 。

则质子和中子结合成氘核过程中A ．吸收的能量为（m 1+m 2+m 3）c 2B ．吸收的能量为（m 1+m 2-m 3）c 2C ．释放的能量为（m 1+m 2+m 3）c 2D ．释放的能量为（m 1+m 2-m 3）c 215. 如图所示是一列简谐横波在t =0时刻的波形图，已知这列波沿x 轴正方向传播，周期为T ，P 是x =0.5m 处的一个质点，则 A ．t =0时刻，P 点速度沿+y 方向 B ．t =0时刻，P 点速度沿+x 方向C ．t =4T时刻，P 点在波谷位置D ．t =4T时刻，P 点在波峰位置16. 卡文迪许用扭秤测出引力常量G ，被称为第一个“称”出地球质量的人。

若已知地球表面的重力加速度g 、地球的半径R 、地球绕太阳运转的周期T ，忽略地球自转的影响，则关于地球质量M ，下列计算正确的是A ．GgR M 2= B ．g GR M 2= C ．222π4GT R M = D ．G R T M 222π4= 17. 冰壶运动深受观众喜爱，图1为2014年2月第22届索契冬奥会上中国队员投掷冰壶的镜头。

在某次投掷中，冰壶甲运动一段时间后与对方静止的冰壶乙发生正碰，如图2。

若两冰壶质量相等，则碰后两冰壶最终停止的位置，可能是图3中的哪幅图图1图2甲 乙v x/my0.5 1Pv18. 如图所示，几位同学在做“摇绳发电”实验：把一条长导线的两端连在一个灵敏电流计的两个接线柱上，形成闭合回路。

两个同学迅速摇动AB 这段“绳”。

假设图中情景发生在赤道，地磁场方向与地面平行，由南指向北。

图中摇“绳”同学是沿东西站立的，甲同学站在西边，手握导线的A 点，乙同学站在东边，手握导线的B 点。

北京市西城区2014年高三二模试卷英语2014.5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三个选项中选出最佳选项。

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 woman probably do now?A. Go for a trip.B. Board the plane.C. Take a rest.2.What is the man doing?A. Offering help.B. Asking for advice.C. Making an appointment.3.What would the woman like to have now?A. A. glass of wine.B. Some more chicken.C. Nothing else.4.Where are the two speakers talking?A. At home.B. On the phone.C. At the restaurant.5.What is the probable relationship between the two speakers?A. Waiter and customer.B. Teacher and studentC. Boy and girl friends.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三个选项中选出最佳选项。

听每段对话或独白前，你将有5秒钟的时间阅读每小题。

【2014北京二模】北京市各区2014届高三二模考试朝阳区、东城区、海淀区、丰台区、西城区、北京市朝阳区高三年级第二次综合练习英语学科测试2014．5(考试时间l20分钟满分l50分)本试卷共12页，共150分。

考试时长l20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：听力理解(共三节，30分)第一节(共5小题；每小题l．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三个选项中选出最佳选项。

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 color trousers does the woman like?A．Brown．B．Blue．C．Gray2．What will the two speakers do?A．Book air tickets．B．Have a holiday．C．Move to Florida．3．When will the next bus for Chicago leave?A．At 8：00．B．At 8：10．C．At 8：15．4．What will the man probably do this evening?A．Finish the term paper．B．Go to the football match．C．Make a plan for tomorrow．5．What‘s the probable relationship between the two speakers?A．Teacher and student．B．Roommates．C．Classmates．第二节(共10小题；每小题l．5分，共15分)听下面4段对话或独白。

一、选择题：本大题共8个小题，每小题5分，共40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U R =，集合{}02A x x =<≤，{}1B x x =<，则集合()U AB =ð（ ）A.(],2-∞B.(],1-∞C.()2,+∞D.[)2,+∞2.已知平面向量()2,1a =-，()1,1b =，()5,1c =-. 若()//a kb c +，则实数k 的值为（ ） A.2 B.12 C.114 D.114-3.在极坐标系中，过点2,2π⎛⎫⎪⎝⎭且与极轴平行的直线方程是（ ） A.2ρ= B.2πθ=C.cos 2ρθ=D.sin 2ρθ=考点：直角坐标与极坐标的互化4.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（ ）A.4B.16C.256D.3log 165.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 =-6.“8m <”是“方程221108x y m m -=--表示双曲线”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，年平均盈利额达到最大值（盈利额等于收入减去成本），则n 等于（ ）A.3B.4C.5D.6考点：1.数列求和；2.基本不等式8.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240x y +-=上，则p =_____；C 的准线方程为_____. 【答案】8；4x =-. 【解析】试题分析：抛物线2:2C y px =的焦点坐标为,02p ⎛⎫⎪⎝⎭，该点在直线240x y +-=上，则有402p -=，解BADC. P得8p =，此时抛物线的准线方程为4x =-. 考点：抛物线的几何性质11.已知一个正三棱柱的所有棱长均等于2，它的俯视图是一个边长为2的正三角形，那么它的侧（左）视图面积的最小值是________.12.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_______.【答案】()3,5. 【解析】试题分析：作出不等式组1026x y x y ≥⎧⎪≤⎨⎪+≤⎩所表示的平面区域如下图中的阴影部分所表示，直线26x y +=交x 轴于点()3,0A ，交直线1x =于点()1,4B ，当直线x y a +=与直线26x y +=在线段13.科技活动后，3名辅导教师和他们所指导的3名获奖学生合影留念（每名教师只指导一名学生），要求6人排成一排，且学生要与其指导教师相邻，那么不同的站法种数是______.（用数字作答）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 ⋅=，对于函数()y f x =，给出以下三个结论：①当2a =时，函数()f x 的值域为[]1,4；②()0,a ∀∈+∞，都有()11f =成立； ③()0,a ∀∈+∞，函数()f x 的最大值都等于4. 其中所有正确结论的序号是_________.D C P线1x =与对称轴的距离远，此时函数()f x 在0x =处取得最大值，即()()max 04f x f ==，当()224121a a +≥+时，即当0a <≤时，函数()f x 在区间[]0,1上单调递减， 此时函数()f x 在0x =处取得最大值，即()()max 04f x f ==， 综上所述，正确结论的序号是②③. 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ABC ∆的面积.因为 0>c ，所以 1=c .故ABC ∆的面积1sin 22S bc A ==.考点：1.正弦定理与余弦定理；2三角形的面积公式16.（本小题满分13分）在某批次的某种灯泡中，随机地抽取200个样品，并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 的值；（2）某人从灯泡样品中随机地购买了()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； （3）某人从这个批次的灯泡中随机地购买了3个进行使用，若以上述频率作为概率，用X 表示此人所购买的灯泡中次品的个数，求X 的分布列和数学期望.所以n 的最小值为4；17.（本小题满分14分）如下图，在四棱柱1111ABCD A B C D -中，底面ABCD 和侧面11BCC B 都 是矩形，E 是CD 的中点，1D E CD ⊥，22AB BC ==. （1）求证：1⊥BC D E （2）求证：1//B C 平面1BED ；（3）若平面11BCC B 与平面1BED 所成的锐二面角的大小为3π，求线段1D E 的长度.所以四边形11D DBB 是平行四边形.连接1DB 交1D B 于点F ，连接EF ，则F 为1DB 的中点. 在1∆B CD 中，因为DE CE =，1DF B F =，所以 1//EF B C . 又因为 1⊄B C 平面1BED ，⊂EF平面1BED ，1设平面11BCC B 法向量为()111,,m x y z =， 因为()1,0,0CB =，()11,1,CB a =，由100m CB m CB ⎧⋅=⎪⎨⋅=⎪⎩得11110,0.x x y az =⎧⎨++=⎩ 令11z =，得()0,,1m a =-.由平面11BCC B 与平面1BED 所成的锐二面角的大小为3π， 得 ||cos ,cos32m n m n m nπ⋅===，解得1a =.考点：1.直线与平面垂直；2.直线与平面平行；3.二面角；4.空间向量法 18.（本小题满分13分）已知函数()2ln ,23,x x x a f x x x x a >⎧=⎨-+-≤⎩，其中0a ≥. （1）当0a =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1x 、2x R ∈，且12x x <，都有()()12f x f x <，求a 的取值范围.因为对于任意1x 、2x R ∈，且12x x <，都有()()12f x f x <成立， 所以1a ≤.19.（本小题满分14分）已知椭圆22:12x W y +=，直线l 与W 相交于M 、N 两点，l 与x 轴、y 轴分别相交于C 、D 两点，O 为坐标原点.（1）若直线l 的方程为210x y +-=，求OCD ∆外接圆的方程；（2）判断是否存在直线l ，使得C 、D 是线段MN 的两个三等分点，若存在，求出直线l 的方程；若不存在，说明理由.【答案】（1）221152416x y ⎛⎫⎛⎫-+-= ⎪ ⎪⎝⎭⎝⎭；（2）存在，且直线l 的方程为25y x =±或y x =. 【解析】试题分析：（1）先确定OCD ∆三个顶点的坐标，利用其外接圆圆心即为该三角形垂直平分线的交点求出外接圆的圆心，并利用两点间的距离公式求出外接圆的半径，从而求出外接圆的方程；（2）将C 、D 是线段MN由方程组2212y kx m x y =+⎧⎪⎨+=⎪⎩ 得()222124220k x kmx m +++-=，所以 2216880k m ∆=-+>， （*）由韦达定理，得122412kmx x k-+=+，21222212m x x k -=+. 由C 、D 是线段MN 的两个三等分点，得线段MN 的中点与线段CD 的中点重合. 所以 1224120km x x k mk-+==+-， 解得2k =±. 由C 、D 是线段MN 的两个三等分点，得3MN CD =.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，并使其为等差数列；（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108d -<<； （3）如果{}n c 为数列{}n a 的一个()3m m ≥项子列，且{}n c 为等比数列，证明：123m c c c c ++++1122m -≤-.则 ()2112311m m c c c c c q q q -++++=++++.因为{}n c 为{}n a 的一个m 项子列， 所以 q 为正有理数，且1q <，()111c a N a*=≤∈. 设 (),Kq K L N L*=∈，且K 、L 互质，2L ≥）. 当1K =时，因为 112q L =≤，所以 ()2112311m m c c c c c q q q -++++=++++211111222m -⎛⎫⎛⎫≤++++ ⎪ ⎪⎝⎭⎝⎭，1122m -⎛⎫=- ⎪⎝⎭，所以 1123122m m c c c c -⎛⎫++++≤- ⎪⎝⎭.当1K ≠时，因为 11111m m m m K c c q a L---==⨯是{}n a 中的项，且K 、L 互质，所以 ()1*m a K M M N -=⨯∈，所以 ()2112311m m c c c c c q q q -++++=++++1232111111m m m m M K K L K LL ----⎛⎫=++++ ⎪⎝⎭. 因为 2L ≥，K 、*M N ∈， 所以 2111231111122222m m m c c c c --⎛⎫⎛⎫⎛⎫++++≤++++=- ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭.综上， 1231122m m c c c c -++++≤-.考点：1.新定义；2.等比数列求和。

海淀区高三年级第二学期期中练习英语 2014.04注意事项：1．考生务必将答案答在答题卡上，在试卷上作答无效。

2．答题前考生务必将答题卡上的姓名、准考证号用黑色字迹的签字笔填写。

3．答题卡上选择题必须用2B铅笔作答，将选中项涂满涂黑，黑度以盖住框内字母为准，修改时用橡皮擦除干净。

非选择题必须用黑色字迹的签字笔按照题号顺序在各题目的答题区域内作答，未在对应的答题区域内作答或超出答题区域作答的均不得分。

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三个选项中选出最佳选项。

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。

1. Where are the speakers?A. At a bank.B. At a hotel.C. At an airport.2. What’s the relationship between the two speakers?A. Neighbors.B. Roommates.C. Friends.3. What does the man want to buy？A. B. C.4. What was the man fined for?A. Wrong parking.B. Running a red light.C. Driving too fast.5. When does the flight leave?A. At 8:30 am.B. At 9:00 am.C. At 9:30 am.第二节（共10小题；每小题1.5分，共15分）听下面4段对话。

每段对话后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。

听每段对话前，你将有5秒钟的时间阅读每小题。

听完后，每小题将给出5秒钟的作答时间。

每段对话你将听两遍。

听第6段材料，回答第6至7题。

2014年北京市西城区高考英语二模试卷二、单项填空（共15小题；每小题1分，共15分）1. ﹣You look great!﹣I ______ out．Check out my muscles!（）A will workB was workingC have been workingD had been working2. ______ Stephon Marbury is an American，he has become a role model among Beijing basketball fans．（）A AsB AlthoughC WhenD Since3. It's been discovered in the study ______ people are more relieved after forgiving others．（）A thatB whatC whichD whose4. Grandpa was shocked by the news．Rarely ______ him so quiet．（）A do I seeB had I seenC I had seenD I saw5. The report aims to explain how these conclusions ______．（）A were reachedB had been reachedC have reachedD had reached6. Sometimes，______ a patient a get﹣well card is better than visiting him．（）A to be sentB being sentC having sentD sending7. It's always hard to remember a name when one doesn't have a face to go with______．（）A himB itC herD one8. It was unusual that such close neighbors ______ not know one another．（）A couldB wouldC mustD should9. The agent promised to keep the family members fully ______ of any developments．（）A informB informingC informedD being informed10. ﹣The professor gave a really good speech．﹣I suggest you ______ him some specific questions about his work experience．（）A have askedB will askC askedD ask11. A person who has never tasted bitter won't know ______ sweet is．（）A whichB whatC whenD why12. The landlady prefers to have women in the apartment rather than men．She thinks women take______ care of things!（）A wellB goodC betterD best13. Based on a true story，the film shows a hero racing ______ time to get back the stolen papers．（）A behindB againstC aboutD at14. I've made several travel plans for our vacation，but I'll leave it to you ______ one．（）A choosingB chosenC to chooseD choose15. Paris has some great museums ______ visitors can see fine works of impressionist painters．（）A whereB whichC thatD when三、完形填空（共1小题；每小题1.5分，共30分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑．16. My class and I visited Chris Care Center in Phoenix, Arizona to comfort the old people who needed a little cheering up during the holiday season．The first two （1）_______ there were for persons requiring help in taking care of themselves．We sang （2）_______ for them．They loved our sweet songs and the flowers that we left with them．As we were （3）_______ on the third floor for old people with Alzheimer （老年痴呆症）, most of them （4）_______ off at the walls or floor．However, one lady （5）_______ my eye．She was sitting by the door, in a wheelchair, singing songs to herself．They weren't the songs that we were singing, at least they didn't （6）_______ like that．As we got （7）_______ with each festive song, she did as well．The louder we got, the louder she got．（8）_______ she was singing, she was also （9）_______ out to us with her hands and body．I knew that I should have gone over to her, but I thought that my （10）_______ were to my students．People who worked at the care center could （11）_______ to her, I thought．Just when I stopped feeling （12）_______ about not giving her the attention she needed, one of my students, Justin, showed me what the holiday season is really about．Justin also （13）_______ the same lady．The difference between us is that he （14）_______ on her needs, but I didn't．During the last song, "Silent Night, "Justin walked over to her and held her hand．He looked this aged lady in her （15）_______ and with his actions said, "You are important, and I will take my （16）_______ to let you know that．"This tired, elderly lady stopped singing and held his hand．Then she touched his cheek with the other hand．Tears began to fall down her face．No （17）_______ can completely describe that touching moment…It （18）_______ a boy to teach me, a man, about kindness and love．Justin's example of a complete, selfless attitude toward another was a （19）_______ that I will never forget．He was the teacher that day, and I consider myself （20）_______ to have witnessed his lesson．（1）A roomsB buildingsC floorsD groups（2）A bravelyB shylyC madlyD beautifully（3）A dancingB meetingC gatheringD singing（4）A staredB shutC paidD glared（5）A lookedB caughtC escapedD hurt（6）A appearB hearC soundD feel（7）A louderB nearerC fasterD higher（8）A BecauseB AsC SinceD Though（9）A movingB reachingC comingD spreading（10）A interestsB abilitiesC feelingsD responsibilities（11）A speakB objectC attendD compare（12）A afraidB sureC guiltyD scary（13）A fearedB avoidedC helpedD noticed（14）A calledB actedC insistedD kept（15）A tearsB handsC eyesD face（16）A timeB flowerC bodyD cheek（17）A wordsB poemsC expressionsD songs（18）A tookB wastedC causedD made（19）A messageB lessonC activityD class（20）A cleverB foolishC rightD lucky四、阅读理解（共两节，40分）17.We're always looking for well-written reviews of books, music, movies, television shows, websites, video games and other products. When writing a review, concentrate on exactly what you liked or didn't like. Give examples of strengths and weaknesses, be descriptive and provide background information on an author, director, actor or musician, if possible. Find professional reviews in magazines or newspapers and see how reviewers deal with their topic, but be sure to express your own voice in your review.Grammar Hint for Reviews: When describing a book, movie, album or anything else, use the present tense.Book ReviewsDiscuss an author's technique, strengths and weaknesses instead of focusing on the plot. Does the story flow? Is there a strong sense of character and place? Did you stay up until dawn to finish it? Is it good reading for teenagers? What influence did it have on you and why? If you've read other books by the same author, discuss how this book compares.Movie ReviewsThink of the major Oscar categories and consider the performances, music, lighting and setting, etc. Do these work together? Did some hold up while others didn't? If the movie is based on a book, discuss whether one is better than the other and why. If the movie is a remake, compare the film to its original.Remember that a well-written movie review should discuss strengths and weaknesses. Some readers may not have seen a movie yet, so don't give away an exciting scene or the ending! College ReviewsBegin by providing an overview of the college, including location, size and a description of the campus and/or dorm life. Think about all aspects of your college visit. What academic, athletic and after﹣class programs are available? What are the students like? What makesthe college different from others? Every school has strengths and weaknesses. Be objective. Consider what the school has to offer and who might enjoy or benefit the most from attending there.（1）When writing a review, you ________.A cannot refer to any previous reviewB must express your own views andopinions C must provide some information about the author D needn't give any examples to support your views（2）Which aspects should be included in all three reviews? ________A Strengths and weaknesses.B Plot and character.C Programs andscenes. D Location and description.（3）Where can you probably find the passage? ________A In a personal diary.B In an official report.C In a tourist guidebook.D In a popular magazine.18. My grandmother Adele loved culture and was generous with its gifts．When I was achild, she took me to museums, restaurants, dances．She showered me with gifts from her travels around the world．But I can only remember her giving me one book﹣a book that, to this day, I have not read．She presented me with her own favorite childhood book: Hans Brinker．My grandmother was happy to share this book with me．She even decorated the title page with her proud writing．I tried to read it．I adored reading, and would dive into a new pile of books from the library all at once．But something about Hans Brinker just wouldn't let me in．The story was set in Holland, a long time ago．It felt dull and unfamiliar﹣even though I was a fan of classics of other times and places．I simply read the first pages over and over．I could not progress．Standing on a bookshelf in our living room, the book was like something I avoided．It scolded me for not being interested, for not trying hard enough, for disappointing my grandmother．The book started to fit in, almost forgotten, until Adele asked．Had I read it? Did I likeit? Always determined, she wanted to know the answer．I would make some kind of excuse, feel bad, and open it again, hoping for a new reaction．The book weighed on me．Years passed and finally Adele and I both accepted that I would never read Hans Brinker．Eventually I cleared the book from the shelf．The Hans Brinker experience led me to set a rule that I've lived by ever since: Do not ask about a book given as a gift．Don'task, despite your desire to discuss it to grow closer．The desire for such connection is what gives book﹣giving with special meaning﹣and increases the owner's possibility to be a letdown．Guilt is basically the same as for all gifts, though．If the giver doesn't have the pleasure of seeing or hearing about the gift being enjoyed, and asks whether it is, then the owner﹣unless she can truthfully say"yes"﹣either has to admit to not liking the present, or else lie on the spot．Neither is pleasant．So, don't ask．（1）When the author was a kid，his grandmother________．A took him to travel around the world a lotB loved to take him to museums andstores C shared her childhood stories with him D gave him many gifts．（2）What does the author think about the book his grandmother gave him？________A Boring．B Interesting．C Puzzling．D Disappointing．．（3）The underlined sentence"The book weighed on me"in Paragraph 4probablymeans________．A the book is too heavy for the author to carryB the author feels stressful facing the bookC the book is full of powerful viewpointsD the author keeps reading the book．（4）The author learns from the Hans Brinker's experience that never________．A give others books as giftsB lie to people who give you giftsC get close to others through giftsD talk about the books given as gifts．19. Google has kicked off Google Science Fair （GSF） 2014, its annual online competition forbright, creative and ambitious teenagers who want to change the world with science．While the project is led by Google, it also has the backing of the Lego Group and world﹣famous publications National Geographic and Scientific American．The competition is open for students aged 13to 18, who can sign﹣up now, form a team and begin working on a submission．The winner will be rewarded with a ten﹣day exploration to the Galapagos Islands aboard the National Geographic Endeavor, as well as a VIP tour of‘Spac eport America'in New Mexico．Google is also throwing in a 50, 000scholarshipand10, 000for the winner's schoolto purchase cutting﹣edge science lab equipment．Google suggests that each project should be"an in﹣depth investigation of a science question or engineering problem"but otherwise, it's up to students to pick and develop an idea that follows the competition rules．Completed projects need to be submitted by May 12, 2014at 11: 59PDT．Google will announce the regional competitors in June, ahead of global finalists in August and the competition winners in September．Interested? Here are the rules．If you want to enter the competition as an individual （个人）, you should register first．Complete requested information about yourself and your project in the registration section before creating your project．You may edit this later．Click the box stating that you have read, accept, and agree to be bound by these Official Rules and Terms．Upon completion of registration you may begin working on your project．The projectmust follow the technical, creative, and legal entry requirements set out in these Official Rules and the Googlesciencefair．com Site．You will be required to complete all sections of the Project Site．You may begin working on your project after completing the registrationprocess, however, you may not submit it for judging until you have requested and received parental consent （允许）．Once you have done this, your parent or guardian will receive an email from Google with instructions on how they can give their consent for you to participate．The project will not be judged unless this consent is received．（1）From the first paragraph，we can learn that________．A GSF is a science competitionB teenagers should form a teamC every teenager can take part in itD GSF is organized by Google alone．（2）What is mainly discussed in the last paragraph？________A Parental consent．B Submission time．C Registration process．D Project requirements．．（3）If you plan to enter GSF alone，you________．A should create your project firstB you needn't follow the official rulesC you should provide some personal informationD your should start your project before registration．（4）The main purpose of the passage is to________．A offer tips on how to enter GSFB provide information about GSFC persuadeteenagers to enter GSF D show teenagers the importance of GS F20. Dear Mom, Clear My CalendarSeptember is around the corner, and some of us are already complaining about summer's end．But parents have a special reason to do so．The end of summer means the start of school．And these days, planning a young child's schedule is a big challenge．The challenge is no longer finding activities to fill a child's day; it is saying no to the hundreds of options available．Our mailbox is filled with brochures urging us to sign our kids up for classes from cooking to martial arts（武术）．Educators are themselves discouraged by the number of special classes that many children attend．In the name of"enrichment, "three﹣year﹣olds not only go to preschool in the morning but study French or gymnastics after lunch．One teacher tells of a four﹣year﹣old asking for help in the toilet before hurrying off to tennis．Another teacher says that children sometimes hold on to her at pickup time．What happened to unstructured time?A generous explanation is that we enjoy giving children opportunities we never had．The truth however is that many parents have doubts about how much time they spend away from their families．And one way to reduce this guilt is to believe that time spent in these classes is somehow more beneficial to children than the time we know we should be giving them ourselves．David Elkind, an expert on children, suggests that the 1960s gave birth to the belief that earlier is better．Parents hope that early music lessons, for example will build a child's confidence．The truth, however, is that any time children are asked to do too much, too soon, they are at greater risk for feelings of failure．A child's time does not have to be planned to be meaningful．Remember the lazy days of summer? Some children sleep late and play with the kids across the street until it's time to come home for dinner．However, with the majority of mothers working, fewer children enjoy that idle （空闲的） time now．Come September, children across the country will finish a full day of kindergarten, only to attend an after﹣school program until 6P．M．, when a working mom or dad comes to take them home．That's too much for a five﹣year old．Finances, of course, do limit some parents．But let's be honest with ourselves﹣our own busy schedules, whatever they involve, are no excuse for burdening a young child's．（1）The author holds that it's a challenge to plan a schedule for a child mainlybecause________．A a child's schedule is too complexB activities suitable for kids are limitedC parents are stuck in numerous choicesD children always say no to parents'advice．（2）What the two teachers say in Paragraph 2implies that________．A children love to stay at schoolB they are popular with childrenC children dislike after﹣school classesD after﹣school classes are of poor quality．（3）According to the author，what is the real reason for parents to send their children to after﹣school classes？________A Parents want to make up for their own regrets．B After﹣school classes developchildren's potential． C Parents have doubt about their own ability to guide children． D After﹣school classes give parents an excuse for being absent．．（4）Which of the following will the author probably agree with？________A For children's benefits，the earlier the better．B Children's spare time should be carefully designed．C Idle time for children is becoming a thing of thepast． D Parents should be forgiven if they have a good reason．．第二节（共1小题；每小题10分，共10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

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 年初三一模试卷语文2014.4一、基础·运用（共24 分）（一）选择题。

下边各题均有四个选项，此中只有一个．．切合题意，选出答案后在答题卡上用铅笔把对应题目的选项字母涂黑涂满。

（共14分。

每题 2 分）1.以下词语中加点字读音完好正确的一项为哪一项A. 脊梁（ j ǐ）俯视（ kàn）舒适（ qi è）．．．B. 倔强（ ju è）包庇（ bì）相处（ chǔ）．．．C. 揭穿（ l ù）哭泣（ yè）机械（ ji è）．．．D. 模样（ mú）游弋（ yì）自夸（ xǔ）．．．2.下边句子中有错别字的一项为哪一项谆谆教诲（ huǐ）．要言不烦 ( g āi)．惩恶扬善（ chénɡ）．水涨船高（ zhǎng ）．A.各地的生态环境建设应当就地取材，讲究实效，不可以简单照搬他人经验。

B.平坦的操场，宽阔的教室，舒坦的桌椅，这座农村小学的相貌面目一新。

C.清明小长假让人们既能有时间怀念祭祀祖先，还可以有闲情逸致踏青赏春。

D.李老师希望遇到表彰的同学不卑不亢，再接再砺，创建更为绚烂的成绩。

3.联合语境，在以下句子中的横线处填写词语正确的一项为哪一项①聪慧人更要学会与四周的人合作，所谓，每一个人都有自己的优势与劣势，再聪慧的人也有需要他人帮助的时候，只有擅长学习借鉴，才能让自己不停提升。

②继承和发展中国古代优异的文化传统，没有一套固定的方式方法，能够从学生抓起，让他们接受传统文化教育；也能够从学者抓起，让他们做好传统文化研究与普及的工作，____________ ，最后都能够实现对传统文化的保护与传承。

A. ①句填“尺有所短，寸有所长”②句填“八仙过海，各显其能”B. ①句填“尺有所短，寸有所长”②句填“同归殊途”C. ①句填“相辅相成”②句填“同归殊途”D. ①句填“相辅相成”②句填“八仙过海，各显其能”4.在下边语段中，挨次填入关系词语最适合的一项为哪一项______字体的不一样，汉字书法在整体风格上能够分为“静态”与“动向”两种形态，______书法创作的“静”与“动”倒是相对的、兼容的，________，在用笔造型中对动静关系的办理更能够表现书法家的精神心胸与艺术功力。

2024北京西城高三一模英 语第一部分：知识运用（共两节，30分）第一节（共10小题；每小题1. 5分，共15分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。

When Susan was a high school senior, her English teacher Mr. DiMeo gave the class a challenging task: Recite a poem in front of the whole class."I had a mild stutter（结巴）. I'd be 1 to get a word out that might begin with 'D'or 'TH', or I might say 'the' three times, " Susan said. The thought of getting up in front of her classmates and stuttering through the poem was too much to 2 .Susan went home and 3 how scared she was to her mom, who agreed to write a note asking for her to be 4 from doing the task in front of the whole class.When the day of the recitation came, Susan recited the poem one-on-one to Mr. DiMeo. 5 she was done, Mr. DiMeo said something she'd never heard before: that he liked listening to her voice. For the first time, she considered the possibility that public speaking didn't have to be a source of 6 .Susan went on to graduate from high school and go to college. She never got to properly thank Mr. DiMeo. But sometime after college, she 7 a job as a corporate trainer. The new position made her realize how big a（n） 8 he had had on her confidence."I stand up in front of people and speak, and I do it all the time. If I do stutter once in a while, no big deal, " she said. Susan recently found a way to 9 her former teacher, and plans on sending him a letter expressing her appreciation.In her mind, Mr. DiMeo is an unsung hero, because he's a big reason why she has a successful career and life. "I don't know where I would've gone if I felt like I had to keep my voice 10 because I was afraid of embarrassing myself. I'd like to thank him for that kindness. "1. A. continuing B. struggling C. pretending D. hoping2. A. share B. express C. find D. bear3. A. taught B. proved C. revealed D. promised4. A. excused B. prohibited C. corrected D. discouraged5. A. While B. Although C. Unless D. Once6. A. jealousy B. worry C. boredom D. loneliness7. A. wanted B. offered C. landed D. created8. A. impact B. idea C. choice D. stress9. A. judge B. contact C. study D. interview10. A. sweet B. loud C. quiet D. deep第二节（共10小题；每小题1. 5分，共15分）阅读下列短文，根据短文内容填空。

与前一句话联系紧密。

故答案为E. 63. 解析D。

最后一段主要说明最适合去游览公园的季节。

只有选项D与季节有关。

故答案64. 为D。

东城区2013—2014学年第二学期初三综合练习（一）69. 六点了，该回家了。

It’s six o’clock. ______ to go home.70. — 你愿意和我一起去野餐吗？— 当然了。

—______ go for a picnic with me?— Yes, of course.71. 我姐姐经常帮着妈妈做饭。

My sister often ______.72. 学习语言时不要害怕犯错误。

Don’t ______ in learning a language.73. 直到我同意帮助玛丽照顾她的小狗，她才挂断了电话。

Mary ______ look after her dog.东城区2013—2014学年第二学期初三综合练习（一）答案69. It’s time70. Would you like to71. helps mum cook meals / helps mum with cooking72. be afraid of making mistakes73. didn’t hang up until I agreed to北京市朝阳区九年级综合练习（一）69. 咱们在艺术节演一场短剧吧。

_______________put on a short play at Art Festival.70. 快点，该吃午饭了。

Hurry up! _______________ have lunch.71. 抱歉我把你的书丢了。

_______________ losing your book.72. 我确信只要你尽最大努力就一定能成功。

I’m sure you will be successful _______________you do your best.73. 别强迫我做任何事！我只有想做才能做好。