限时训练(五)
第5讲功功率动能定理(限时训练)
高三物理限时规范训练（五）功 功率 动能定理(时间：60分钟 满分：100分)姓名 成绩 一、选择题(本题共9个小题，每小题6分，共54分，在每小题给出的四个选项中，第1～5题只有一个选项符合要求，第6～9题有多项符合要求．)1．(2014·盐城模拟)如图所示，一质量为M ，长为L 的木板，放在光滑的水平地面上，在木板的右端放一质量为m 的小木块，用一根不可伸长的轻绳通过光滑的定滑轮分别与m 、M 连接，木块与木板间的动摩擦因数为μ，开始时木块和木板静止，现用水平向右的拉力F 作用在M 上，将m 拉向木板左端的过程中，拉力至少做功为( )A ．2μmgLB .12μmgL C ．μ(M ＋m)gL D ．μmgL2．质量均为m 的两物块A 、B 以一定的初速度在水平面上只受摩擦 力而滑动，如图所示是它们滑动的最大位移x 与初速度的平方v 20 的关系图象，已知v 202＝2v 201，下列描述中正确的是( )A ．若A 、B 滑行的初速度相等，则到它们都停下来时滑动摩擦力对A 做的功是对B 做功的2倍 B ．若A 、B 滑行的初速度相等，则到它们都停下来时滑动摩擦力对A 做的功是对B 做功的12C ．若A 、B 滑行的最大位移相等，则滑动摩擦力对它们做的功相等D ．若A 、B 滑行的最大位移相等，则滑动摩擦力对B 做的功是对A 做功的2倍3．两个物体A 、B 的质量分别为m 1、m 2，并排静止在水平面上，用 相同的水平拉力F 同时分别作用于物体A 和B 上，分别作用一 段时间后撤去，两物体各自滑行一段距离后停止．两物体A 、B 运动的v －t 图象分别如图中a 、b 所示．已知拉力F 撤去后， 物体做减速运动过程的v －t 图象彼此平行(相关数据如图所示)． 由图中信息可以得到( )A ．m 1＜m 2B ．t ＝3 s 时，物体A 、B 再次相遇C ．拉力F 对物体A 所做的功较多D ．拉力F 对物体A 的最大瞬时功率是对物体B 最大瞬时功率的45倍4．(2014·上海市七校调研联考)把动力装置分散安装在每节车厢上，使其既具有牵引动力，又可以载客，这样的客车车辆叫做动车．几节自带动力的车辆(动车)加几节不带动力的车辆(也叫拖车)编成一组，就是动车组，假设动车组运行过程中受到的阻力与其所受重力成正比，每节动车与施车的质量都相等，每节动车的额定功率都相等．若1节动车加3节拖车编成的动车组的最大速度为120 km /h ；则6节动车加3节拖车编成的动车组的最大速度为( )A ．120 km /hB ．240 km /hC ．320 km /hD ．480 km /h5．如图所示，图线表示作用在某物体上的合外力随时间变化的关系， 若物体开始时是静止的，那么( )A ．从t ＝0开始，5 s 内物体的动能变化量为零B ．在前5 s 内只有第1 s 末物体的动能最大C ．在前5 s 内只有第5 s 末物体的速率最大D ．前3 s 内合外力对物体做的功为零6．(2014·黑龙江省牡丹江市联考)如图所示，光滑固定的竖直杆上 套有小物块a ，不可伸长的轻质细绳通过大小可忽略的定滑轮连 接物块a 和小物块b ，虚线cd 水平．现由静止释放两物块，物 块a 从图示位置上升，并恰好能到达c 处．在此过程中，若不 计摩擦和空气阻力，下列说法正确的是( )A ．物块a 到达c 点时加速度为零B ．绳的拉力对物块a 做的功等于物块a 重力势能的增加量C ．绳的拉力对物块b 先做负功后做正功D ．绳的拉力对物块b 做的功等于物块b 机械能的减少量7．(2014·河南名校质检)低碳、环保是未来汽车的发展方向． 某汽车研发机构在汽车的车轮上安装了小型发电机，将减 速时的部分动能转化并储存在蓄电池中，以达到节能的目的．在某次测试中，汽车以额定功率行驶一段距离后关闭发动机，测出了汽车动能E k 与位移s 的关系图象如图，其中①是关闭储能装置时的关系图线，②是开启储能装置时的关系图线．已知汽车的质量为1 000 kg ，设汽车运动过程中所受地面阻力恒定，空气阻力不计．根据图象所给的信息可求出( )A ．汽车行驶过程中所受地面的阻力为1 000 NB ．汽车的额定功率为80 kWC ．汽车加速运动的时间为22.5 sD ．汽车开启储能装置后向蓄电池提供的电能为5×105 J8.(2014·武汉调研)为减少二氧化碳排放，我国城市公交推出新 型节能环保电动车，在检测某款电动车性能的实验中，质量为 8×102kg 的电动车由静止开始沿平直公路行驶，达到的最大速 度为15 m /s ，利用传感器测得此过程中不同时刻电动车的牵引力F 与对应的速度v ，并描绘出F －1v 图象(图中AB 、BO 均为直线)，假设电动车行驶中所受的阻力恒定，则( )A ．在全过程中，电动车在B 点时速度最大 B ．BA 过程电动车做匀加速运动C ．CB 过程电动车做减速运动D ．CB 过程电动车的牵引力的功率恒定9．质量为m 的物体静止在光滑水平面上，从t ＝0时刻开始受到三 种水平力的作用，物体的加速度大小a 与时间t 的关系如图所 示，力的方向保持不变，则( )A ．这三种情况下，力做功之比为W A ∶WB ∶WC ＝16∶22∶25 B ．这三种情况下，力做功之比为W A ∶W B ∶W C ＝16∶144∶25 C ．t 0时刻，力做功的瞬时功率之比为P A ∶P B ∶P C ＝16∶9∶1D ．t 0时刻，力做功的瞬时功率之比为P A ∶P B ∶P C ＝4∶3∶1二、计算题(本题共3个小题，共46分，解答时应写出必要的文字说明、方程式和演算步骤，有数值计算的要注明单位)10．(15分)(2014·广东省江门市模拟)如图所示，滑块质量为m ，与水平地面间的动摩擦因数为0.1，它以v 0＝3gR 的初速度由A 点开始向B 点滑行，AB ＝5R ，并滑上光滑的半径为R 的14圆弧BC ，在C 点正上方有一离C 点高度也为R 的旋转平台，沿平台直径方向开有两个离轴心距离相等的小孔P 、Q ，旋转时两孔均能达到C 点的正上方．若滑块滑过C 点后从P 孔上升又恰能从Q 孔落下，求：(1)滑块在B 点时对轨道的压力大小； (2)平台转动的角速度ω应满足什么条件？11．(15分)(2014·安徽省黄山市模拟)如图所示为放置在竖直平面内游戏滑轨的模拟装置，滑轨由四部分粗细均匀的金属杆组成，其中倾斜直轨AB 与水平直轨CD 长均为L ＝3 m ，圆弧形轨道APD 和BQC 均光滑，AB 、CD 与两圆弧形轨道相切，BQC 的半径为r ＝1 m ，APD 的半径为 R ＝2 m ，O 2A 、O 1B 与竖直方向的夹角均为θ＝37°.现有一质量为m ＝1 kg 的小球穿在滑轨上，以E k 0的初动能从B 点开始沿AB 向上运动，小球与两段直轨道间的动摩擦因数均为μ＝13，设小球经过轨道连接处均无能量损失．(g ＝10 m /s 2，sin 37°＝0.6，cos 37°＝0.8)求：(1)要使小球能够通过弧形轨道APD 的最高点，初动能E k 0至少多大？ (2)求小球第二次到达D 点时的动能；(3)小球在CD 段上运动的总路程．(第(2)(3)两问中的E k 0取第(1)问中的数值)12．(16分)(2013·高考四川卷)在如图所示的竖直平面内，物体A 和带正电的物体B 用跨过定滑轮的绝缘轻绳连接，分别静止于倾角θ＝37°的光滑斜面上的M 点和粗糙绝缘水平面上，轻绳与对应平面平行．劲度系数k ＝5 N /m 的轻弹簧一端固定在O 点，一端用另一轻绳穿过固定的光滑小环D 与A 相连，弹簧处于原长，轻绳恰好拉直，DM 垂直于斜面．水平面处于场强E ＝5×104N /C 、方向水平向右的匀强电场中．已知A 、B 的质量分别为m A ＝0.1 kg 和m B ＝0.2 kg ，B 所带电荷量q ＝＋4×10－6C ．设两物体均视为质点，不计滑轮质量和摩擦，绳不可伸长，弹簧始终在弹性限度内，B 电荷量不变．取g ＝10 m /s 2，sin 37°＝0.6，cos 37°＝0.8.(1)求B 所受静摩擦力的大小；(2)现对A 施加沿斜面向下的拉力F ，使A 以加速度a ＝0.6 m /s 2开始做匀加速直线运动．A 从M 到N 的过程中，B 的电势能增加了ΔE p ＝0.06 J ．已知DN 沿竖直方向，B 与水平面间的动摩擦因数μ＝0.4.求A 到达N 点时拉力F 的瞬时功率．。
高二年级限时训练五
高二年级限时训练五一、阅读选择ABefore birth,babies can tell the difference between loud sounds and voices.They can even distinguish their mother’s voice from that of a female stranger.But when it comes to embryonic learning(胎教),birds could rule the roost.As recently reported in The Auk:Ornithological Advances,some mother birds may teach their young to sing even before they hatch(孵化).New-born chicks can then imitate their mom’s call within a few days of entering the world.This educational method was first observed in2012by Sonia Kleindorfer,a biologist at Flinders University in South Australia,and her colleagues.Female Australian superb fairy wrens were found to repeat one sound over and over again while hatching their eggs.When the eggs were hatched,the baby birds made the similar chirp to their mothers—a sound that served as their regular＂feed me!＂call.To find out if the special quality was more widespread in birds,the researchers sought thered-backed fairy wren,another species of Australian songbird.First they collected sound data from67nests in four sites in Queensland before and after hatching.Then they identified begging calls by analyzing the order and number of notes.A computer analysis blindly compared calls produced by mothers and chicks,ranking them by similarity.It turns out that baby red-backed fairy wrens also emerge chirping like their moms.And the more frequently mothers had called to their eggs,the more similar were the babies’begging calls. In addition,the team set up a separate experiment that suggested that the baby birds that most closely imitated their mom’s voice were rewarded with the most food.This observation hints that effective embryonic learning could signal neurological(神经系统的)strengths of children to parents.An evolutionary inference can then be drawn.＂As a parent, do you invest in quality children,or do you invest in children that are in need?＂Kleindorfer asks.＂Our results suggest that they might be going for quality.＂1.The underlined phrase in Paragraph1means＂____________＂.A.be the worstB.be the bestC.be just as badD.be just as good2.What are Kleindorfer’s findings based on?A.Similarities between the calls of moms and chicks.B.The observation of fairy wrens across Australia.C.The data collected from Queensland’s locals.D.Controlled experiments on wrens and other birds.3.Embryonic learning helps mother birds to identify the baby birds which____________.A.can receive quality signalsB.are in need of trainingC.fit the environment betterD.make the loudest callBA new commodity brings about a highly profitable,fast-growing industry,urging antitrust(反垄断)regulators to step in to check those who control its flow.A century ago,the resource in question was oil.Now similar concerns are being raised by the giants(巨头)that deal in data,the oil of the digital age.The most valuable firms are Google,Amazon,Facebook and Microsoft.All look unstoppable.Such situations have led to calls for the tech giants to be broken up.But size alone is not a crime.The giants’success has benefited consumers.Few want to live without search engines or aquick delivery.Far from charging consumers high prices,many of these services are free(users pay,in effect,by handing over yet more data).And the appearance of new-born giants suggests that newcomers can make waves,too.But there is cause for concern.The internet has made data abundant,all-present and far more valuable,changing the nature of data and competition.Google initially used the data collected from users to target advertising better.But recently it has discovered that data can be turned into new services:translation and visual recognition,to be sold to other companies.Internet companies’control of data gives them enormous power.So they have a"God’s eye view"of activities in their own markets and beyond.This nature of data makes the antitrust measures of the past less useful.Breaking up firms like Google into five small ones would not stop remaking themselves:in time,one of them would become great again.A rethink is required—and as a new approach starts to become apparent,two ideas stand out.The first is that antitrust authorities need to move from the industrial age into the21st century. When considering a merger(兼并),for example,they have traditionally used size to determine when to step in.They now need to take into account the extent of firms’data assets(资产)when assessing the impact of deals.The purchase price could also be a signal that an established company is buying a new-born threat.When this takes place,especially when a new-born company has no revenue to speak of,the regulators should raise red flags.The second principle is to loosen the control that providers of on-line services have over data and give more to those who supply panies could be forced to reveal to consumers what information they hold and how much money they make from ernments could order the sharing of certain kinds of data,with users’consent.Restarting antitrust for the information age will not be easy.But if governments don’t want a data economy controlled by a few giants,they must act soon.4.Why is there a call to break up giants?A.They have controlled the data market.B.They collect enormous private data.C.They no longer provide free services.D.They dismissed some new-born giants.5.What does the technological innovation in Paragraph3indicate?A.Data giants’technology is very expensive.B.Google’s idea is popular among data firms.C.Data can strengthen giants’controlling position.D.Data can be turned into new services or products.6.By paying attention to firms’data assets,antitrust regulators could.A.kill a new threatB.avoid the size trapC.favour bigger firmsD.charge higher prices7.What is the purpose of loosening the giants’control of data?A.Big companies could relieve data security pressure.ernments could relieve their financial pressure.C.Consumers could better protect their privacy.D.Small companies could get more opportunities.COld problem，new approachesWhile clean energy is increasingly used in our daily life，global warming will continue for some decades after CO2emissions(排放)peak.So even if emissions were to begin to decrease today，we would still face the challenge of adapting to climate change.Here I will stress somesmarter and more creative examples of climate adaptation.When it comes to adaptation，it is important to understand that climate change is a process. We are therefore not talking about adapting to a new standard，but to a constantly shifting set of conditions.This is why,in part at least，the US National Climate Assessment says that：“There is no‘one-size fits all’adaptation.”Nevertheless，there are some actions that offer much and carry little risk or cost.Around the world,people are adapting in surprising ways，especially in some poor countries. Floods have become more damaging in Bangladesh in recent decades.Mohammed Rezwan saw opportunity where others saw only disaster.His not-for-profit organization runs100river boats that serve as floating libraries，schools，and health clinics，and are equipped with solar panels and other communicating facilities.Rezwan is creating floating connectivity(连接)to replace flooded roads and highways.But he is also working at a far more fundamental level：his staff show people how to make floating gardens and fish ponds to prevent starvation during the wet season.Elsewhere in Asia even more astonishing actions are being taken.Chewang Norphel lives in a mountainous region in India,where he is known as the Ice Man.The loss of glaciers(冰川) there due to global warming represents an enormous threat to agriculture.Without the glaciers, water will arrive in the rivers at times when it can damage crops.Norphel's inspiration came from seeing the waste of water over winter,when it was not needed.He directed the wasted water into shallow basins where it froze,and was stored until the spring.His fields of ice supply perfectly timed irrigation(灌溉)water.Having created nine such ice reserves,Norphel calculates that he has stored about200，000m3of water.Climate change is a continuing process,so Norphel's ice reserves will not last forever.Warming will overtake them.But he is providing a few years during which the farmers will,perhaps,be able to find other means of adapting.Increasing Earth's reflectiveness can cool the planet.In southern Spain the sudden increase of greenhouses(which reflect light back to space)has changed the warming trend locally,and actually cooled the region.While Spain as a whole is heating up quickly,temperatures near the greenhouses have decreased.This example should act as an inspiration for all cities.By painting buildings white,cities may slow down the warming process.In Peru,local farmers around a mountain with a glacier that has already fallen victim to climate change have begun painting the entire mountain peak white in the hope that the added reflectiveness will restore the life-giving ice.The outcome is still far from clear.But the World Bank has included the project on its list of“100ideas to save the planet”.More ordinary forms of adaptation are happening everywhere.A friend of mine owns an area of land in western Victoria.Over five generations the land has been too wet for cropping.But during the past decade declining rainfall has allowed him to plant highly profitable crops.Farmers in many countries are also adapting like this—either by growing new produce,or by growing the same things differently.This is common sense.But some suggestions for adapting are not.When the polluting industries argue that we've lost the battle to control carbon pollution and have no choice but to adapt,it's a nonsense designed to make the case for business as usual.Human beings will continue to adapt to the changing climate in both ordinary and astonishing ways.But the most sensible form of adaptation is surely to adapt our energy systems to emit less carbon pollution.After all,if we adapt in that way,we may avoid the need to change in so many others.8.The underlined part in Paragraph2implies________.A.adaptation is an ever-changing processB.the cost of adaptation varies with timeC.global warming affects adaptation formsD.adaptation to climate change is challenging9.What is special with regard to Rezwan's project?A.The project receives government support.B.Different organizations work with each other.C.His organization makes the best of a bad situation.D.The project connects flooded roads and highways.10.What did the Ice Man do to reduce the effect of global warming?A.Storing ice for future use.B.Protecting the glaciers from melting.C.Changing the irrigation time.D.Postponing the melting of the glaciers.11.What do we learn from the Peru example?A.White paint is usually safe for buildings.B.The global warming trend cannot be stopped.C.This country is heating up too quickly.D.Sunlight reflection may relieve global warming.12.According to the author,polluting industries should________.A.adapt to carbon pollutionB.plant highly profitable cropsC.leave carbon emission aloneD.fight against carbon pollution13.What's the author's preferred solution to global warming?A.Setting up a new standard.B.Reducing carbon emission.C.Adapting to climate change.D.Monitoring polluting industries.二、七选五七选五根据短文内容，从短文后的七个选项中选出能填入空白处的最佳选项。
高考二轮复习限时训练(五)
高考二轮复习限时训练（五）（时间：60分钟）班级 姓名 得分一、填空题：（12×5分=60分）1、命题“2,210x R x x ∃∈-+≤”的否定形式为 ．2、已知U={1，2，3，4，5，6}，集合A={2，3}，集合B={3，5}，则A ∩(U B) = ．3、0tan(1125)-的值是 ．4、如图所示的流程图输出的n 值是 ．5、若复数z 满足(2)5i z -= (i 是虛数单位)，则z= ．6、函数[]sin()(0,3y x x ππ=+∈)的单调减区间是 ．7、方程x x 28lg -=的根)1,(+∈k k x ，k ∈Z ，则k = ．8、已知向量(1,2),(2,3)a b == ，若()()a b a b λ+⊥-，则λ= ．9、设奇函数()f x 满足：对x R ∀∈有(1)()0f x f x ++=，则(5)f = ． 10、某城市一年中12个月的平均气温与月份的关系可近似地用三角函数)]6(6cos[-+=x A a y π(x =1，2，3，…，12）来表示，已知6月份的月平均气温最高，为28℃，12月份的月平均气温最低，为18℃，则10月份的平均气温值为 ℃．11、在等比数列{}n a 中，若22a =，632a =，则4a = ．12、在ABC ∆中,角A,B,C 所对的边分别是,,a b c ，若22b c+2a =,且a b=则∠C= ．二．解答题（每题15分，共30分）13．设向量(c o s,s i n )m θθ=，sin ,cos )n θθ= ，),23(ππθ--∈，若1m n ∙=，求：（1）)4sin(πθ+的值； （2）)127cos(πθ+的值．14.如图，四边形ABCD为矩形，AD⊥平面ABE，AE＝EB＝BC＝2，F为CE上的点，且BF⊥平面ACE．（1）求证：AE⊥BE；使得MN∥平面DAE.南师大附校09高考二轮复习限时训练（五）一、填空题1、∀x∈R，x 2－2x+l ＞0 2、{2} 3、1 4、5 5、1 6、[,]6ππ7、3 8、53- 9、0 10、20.5 11、8 12、1050二、解答题13、解：（1）依题意，cos sin )sin cos )m n θθθθ∙=+cos )θθ=+4sin()4πθ=+又1m n ∙= ∴41)4sin(=+πθ…………… ……7分（2）由于),23(ππθ--∈，则)43,45(4πππθ--∈+结合41)4s i n(=+πθ，可得415)4cos(-=+πθ 则7cos()12θπ+11cos[()]43θππ=++11(4242=-⨯-⨯8=-15分14、（1）证明： ABE AD 平面⊥，BC AD //∴ABE BC 平面⊥，则BC AE ⊥…… ……… 3分又 ACE BF 平面⊥，则BF AE ⊥ ∴BCE AE 平面⊥ 又BCE BE 平面⊂ ∴BE AE ⊥ ………………………… 6分（2）在三角形ABE 中过M 点作MG ∥AE 交BE 于G 点,在三角形BEC 中过G 点作GN ∥BC交EC 于N 点,连MN,则由比例关系易得CN ＝CE 31…… …8分MG ∥AE MG ⊄平面ADE, AE ⊂平面ADE, ∴MG ∥平面ADE ……………………10分同理, GN ∥平面ADE∴平面MGN ∥平面ADE ……………12分又MN ⊂平面MGN ∴MN ∥平面ADE∴N 点为线段CE 上靠近C 点的一个三等分点 …………………………………………15分。
高三限时训练五丁勇
依次填入下列各句横线处的词语，恰当的一组是( ) ①经历了二十多年的动乱之后，我们每一个人都会感到，假 如有这样一个安宁而________的环境来读书写作，真是 非常理想。 ②我现在真后悔，都怪自己一时冲动，________了国家法 律，害了别人，也害了自己。 ③这部著作的第一部分为________，在这部分，作者介绍 了全书的主要内容。 A．优美 违反 序言 B．幽美 违犯 绪言 C．幽美 违反 序言 D．优美 违犯 绪言 • 14．【解析】 “幽美”指幽静美丽；“优美”指美好， 句中强调环境幽静，故选用“幽美”。“违犯”的程度比 “违反”重，“违犯”常常和法律法规相搭配，“违反” 常常和纪律、秩序相搭配。“序言”不属于著作的组成部 分，而“绪言”则属于著作的是 A.专家认为，如果全国实行统一的药品编码，就可以建 立药品信息系统及用计算机对种类繁多的药品进行科 学管理打下坚实基础。 B．春节黄金周，探亲和出游的旅客大量增加，广铁集 团共发送旅客305.9万人次，与去年同期相比增加23万 人次，增幅为8．1％。宁可让商品积压，资金呆 C．驻伊美军虐囚丑闻公诸于世后，美国总统乔治· 布什 也意识到问题的严重性，竭尽全力进行处理，以减少 此事对其声望的影响。 D．工商、公安等部门将分品种、分阶段对药品、保健 食品、美容服务等重点商品广告进行专项整治，以确 保该项工作取得实效。
• 下列加点词语使用恰当的一项是（ ） A．耸人听闻的昆明暴恐案让世人震惊，世界各国爱好和 平的人士无不强烈谴责这群暴徒的恶劣行径。 B．黄果树大瀑布不愧为5A景区，还没见到瀑布，就听见 传来阵阵瓦釜雷鸣般的响声。 C．文学借文字表现思想情感，文字上面有含糊，就显得 思想还没透彻，所以必须锱铢必较。 D．望着那悠远的夜空中闪烁的群星，他又回想起那有趣 的童年，回想起小时候妈妈讲给他的许多动人的故事。 • A项“耸人听闻”意为故意说夸大或惊奇的话，使人震 惊，用在此处不合语境，应改为“骇人听闻”，意指使 听的人十分吃惊害怕；B项“瓦釜雷鸣”指声音低沉的 沙锅发出雷鸣般的响声。比喻无德无才的人占据高位， 威风一时，此处显然是望文生义，不合适； D项“悠远” 是指空间距离的辽远或指长久、久远，用在此处不合适， 应改为“幽远”，意指深远。C项“锱铢必较”是形容 非常小气，很少的钱也一定要计较，也比喻气量狭小， 很小的事也要计较，用在这里合语境。
高二数学限时训练(五)2007.4.26
高二数学限时训练(五)(40分钟完成)(2007.4.26)一、选择题：(本大题共7小题，每小题7分,共49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.) 请把答案填入后面指定的空格里.1.有这样一段演绎推理是这样的“有些有理数是真分数，整数是有理数，则整数是真分数”结论显然是错误的，是因为（ ） (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 2.如果22(32)(2)z m m m m i =-+++-是纯虚数，那么实数m 的值是( ) (A )1 (B )2 (C )－2 (D )1和23.与直线32+-=x y 垂直又与曲线12+=x y 相切的直线方程为( ) (A)21y x =+ (B)132y x =-+(C) 132y x =+ (D)112y x =+4.用反证法证明命题: “设,,a b c 大于0，则1a b+、1b c+、1c a+中至少有一个不小于2.”时,假设的内容是( )(A)都不小于2 (B)至少有一个不大于2 (C)都小于2 (D)至少有一个小于2 5.用数学归纳法证明不等式“*1111(2)2321nn n n N ++++<∈- ≥，,的过程中，当由n k =变到1n k =+时，左边增加了（ ） (A)1项 (B)k 项 (C)12k -项 (D)2k 项6.由直线4y x =-，曲线x y 2=以及x 轴所围成的图形面积为（） (A)13 (D)157.设f (x )=x si nx ,若x 1, x 2∈[,],22ππ-且f (x 1)>f (x 2),则下列结论中必成立的是 ( )(A )x 1>x 2 (B )x 1+x 2>0 (C)x 1<x 2 (D)x 12>x 22二、填空题: 本大题共3小题,每小题7分,共21分,把答案填在题中横线上. 8.若数列{}n a 的通项公式)()1(12+∈+=N n n a n ，记)1()1)(1()(21n a a a n f -⋅⋅⋅--=，试通过计算)3(),2(),1(f f f 的值，推测出()______.f n =9.半径为r 的圆的面积()2S r r π=，周长()2C r r π=，若将r 看作（0,+∞）上的变量，则()()S r C r '=①即圆的面积函数的导数等于圆的周长函数.对于半径为R 的球，若将R 看作（0，+∞）上的变量，请你写出类似①式的结论：＿＿＿＿＿_②即 .10.已知两条相交直线最多有1个交点，三条直线最多有3个交点，四条直线最多有6个交点点，五条直线最多有10个交点．由此可归纳n 条直线最多交点个数为 ．班别8.______; 9._____________,__________________________________; 10.___________. 三、解答题: 本大题共两小题，每小题15分,共30分,解答应写出文字说明,证明过程或演算步骤.11.已知：23150sin 90sin 30sin 222=++ , 23125sin 65sin 5sin 222=++通过观察上述两等式的规律，请你猜想出一般性的命题，并证明你的猜想12.如图：在正三棱柱111C B A ABC -中，1BB E ∈，截面11AC EC A 侧面⊥.①求证：1EB BE =;②若111B A AA =, 求平面EC A 1与平面111C B A 所成二面角(锐角)的度数.(注意:在下面横线上填写适当内容,使之成为①②的完整证明.) ①证明：如图,在截面EC A 1内,过E 作C A EG 1⊥，G 是垂足, 取A C 的中点F,连结BF,FG . 要证: 1EB BE =,只要证: 112B E B B =,只要证:B E F G =且112F G A A =,∵______________________________________________，∴EG ⊥侧面C A 1,由A B=BC ，F 为A C 的中点得BF ⊥A ,∵1ABC A C ⊥平面侧面, BF ⊂平面ABC ，∴BF ⊥侧面1AC ， ∴BF ∥EG ，∴BF 、EG 确定一个平面，交侧面1AC 于FG .∵_____________________________,∴BE ∥FG ，四边形BEGF 是平行四边形，∴BE=FG 又∵1//AA BE ,∴1//AA FG ,∴FGC C AA ∆∆~1,∵F 为A C 的中点,∴112F G A A =得证.②解：分别延长CE 、11B C 交于点D ，连结D A 1 ∵__________________,1112121CC BB EB ==∴111121C B DC DB ==，∵11111111160B A C B C A A B C ∠=∠=∠=︒,∴1190DA C ∠=∴111C A DA ⊥∵______________________________________________________________,∴C A DA 11⊥∴11C CA ∠是所求二面角的平面角.∵_______________________________________, ∴︒=∠4511C CA ,即所求二面角为45°高二数学限时训练(五)答案(2007.4.26)C BC CD B D 8.2()22n f n n +=+ 10.2)1(-n n9.324()43RRππ'=．球的体积函数的导数等于球的表面积函数。
第二阶段 五 考前基础回归—抓牢分
物质 NaCl CO2 AgI SO2 H 2O2 CaSO4 SiO2 NH3 ①化工原料 ①灭火剂 ①感光材料 ①漂白剂 ②调味品 ②人工降雨
用途 ③腌渍食品 ③温室肥料
NaHCO3 ①治疗胃酸过多
②发酵粉
②人工降雨 ②杀菌消毒 ②火箭燃料 ③调节水泥硬化速度 ②用于有机合成 ③制 ②光导纤维 ②石膏绷带
4．组成特征 不含金属元素的离子化合物：铵盐； 含有金属元素的阴离子：MnO4 、AlO2 、Cr2O2 ； 7 A2B2型化合物：H2O2、Na2O2、C2H2等； 能形成A2B和A2B2型化合物的元素：H、Na、O。 5．其他 (1)易液化的气体：SO2、Cl2、NH3。 (2)易升华的单质：I2。 (3)易潮解的物质：NaOH、MgCl2、CaCl2。
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4．常见物质的重要用途 物质 用途 O3 ①漂白剂 ②消毒剂 ①杀菌消毒 ②制盐酸、漂白剂 ③制氯仿等有机溶 Cl2 剂和多种农药 ①焊接金属的保护气 ②填充灯泡 ③保存粮食作物 N2 ④冷冻剂 ①制导线电缆 ②食品饮料的包装 ③制多种合金 Al ④做机械零件、门窗等 ①制Na2O2等 ②冶炼Ti等金属 ③电光源 ④Na、 Na K合金作原子反应堆导热剂 Al2O3 ①冶炼铝 ②制作耐火材料 返回
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4．变色现象 ①Fe3＋与SCN－、Fe、Cu反应时颜色的变化； ②遇空气迅速由无色变为红棕色的气体必为NO； ③Fe2＋与Cl2、Br2等氧化性物质反应； ④酸碱性溶液与指示剂的变化； ⑤品红溶液与Cl2、SO2等漂白剂的作用； ⑥碘遇淀粉溶液变蓝。 返回
5．放(吸)热现象
①强酸和强碱溶于水时一般放热，盐溶于水时一般吸 热，NaCl溶于水时热量变化不大； ②氢氧化钡晶体[Ba(OH)2· 2O]与氯化铵晶体混合反 8H 应吸热、二氧化碳与碳的反应也是吸热反应；③酸碱中和、 金属与酸、燃烧反应都是放热反应。
高三物理模拟限时训练题(五)
2011—2012学年高三第二学期模拟练兵限时训练物理试题（五）2012.05二、选择题（本题包括7小题，每小题给出的四个选项中，有的只有一个选项正确，有的有多个选项正确，全部选对的得4分，选对但不全的得2分，有选错的得0分）14.了解物理规律的发现过程，学会像科学家那样观察和思考，往往比掌握知识本身更重要。
以下符合事实的是A.英国的物理学家库仑通过油滴实验精确测定了元电荷e的电荷量B.德国天文学家开普勒提出开普勒的三大定律C.英国物理学家法拉第发现了由磁场产生电流的条件和规律——电磁感应定律D.法国物理学家安培发现电流可以使周围的小磁针发生偏转15.静止在光滑水平面上的物体，同时受到在同一直线上的力F1、F2作用，F1、F2随时间变化的图象如图甲所示，则υ-t图象是图乙中的16.2012年2月25日电：25日0时12分，我国在西昌卫星发射中心用“长征三号丙”运载火箭，将第十一颗北斗导航卫星成功送入太空预定转移轨道。
第十一颗北斗导航卫星是一颗倾斜的地球同步轨道卫星。
第十一颗北斗导航卫星进入工作轨道后，下列说法正确的是A.运行速度大于7.9km/sB.运行速度大于静止在赤道上物体的线速度C.卫星运行的角速度比月球绕地球运行的角速度大D.向心加速度与静止在赤道上物体的向心加速度大小相等17.假设某次罚点球直接射门时，球恰好从横梁下边缘踢进，此时的速度为v。
横梁下边缘离地面的高度为h，足球质量为m，运动员对足球做的功为W1，足球运动过程中克服空气阻力做功为W2，选地面为零势能面，下列说法正确的是A.运动员对足球做的功为211W mgh mv2=+B.足球机械能的变化量为W1—W2C.足球克服阻力做功为2211W mgh mv W2=+-D.运动员刚踢完球的瞬间，足球的动能为221mgh mv W2++18.某点电荷和金属圆环间的电场线分布如图所示。
下列说法正确的是A.a点的电势高于b点的电势B.若将一正试探电荷由a点移到b点，电场力做负功C.c点的电场强度与d点的电场强度大小无法判断D.若将一正试探电荷从d点静止释放，电荷将沿着电场线由d到c19.一台理想变压器的原、副线圈的匝数比是11：1，原线圈接入电压为220V的正弦交流电，一个滑动变阻器R接在副线圈上，如图所示。
宜春实验中学高一年级英语限时训练Unit5(五)-教育文档
宜春实验中学高一年级英语必修一Unit 5限时训练（五）Ⅰ.单句填空1.Once upon a time there was a blanket,which had several sheets (contain) a traditional bedtime story.2.I'd appreciate if you could let me know in advance whether or not Mr Jones will be coming.3.The number of the tigers is the decrease just because of the destruction of the environment.4.The parents suggested (sleep)in the hotel room but their kids were anxious to camp out during the trip.5.Everybody tried to reach out to those (affect) by the recent earthquake.6.When Americans are talking,they expect others to respond what they are saying.7.Many students begin to wander from city to city after graduation, (hunt) for a suitable job.8.It is clear that the primary duty of parents is to provide (protect) for their children.9.I'm sorry to say that the table (reserve).What about the table near the window?10.The teacher walked around in the classroom (inspect)the students' work.Ⅱ.阅读理解There are about 5,000 different kinds of ladybugs(瓢虫) in the world. They are also known as lady beetles or ladybird beetles. They come in many different colours and patterns, but the best-known in North America is the seven-spotted ladybug, with its shiny, red-and-black body.In many cultures, ladybugs are thought to be good luck. Most people like them because they are pretty, lovely and do no harm to human beings. But farmers love them because they eat aphids and other plant-eating pests. One ladybug can eat up 5,000 insects in its lifetime!Most ladybugs have dome-shaped bodies with six short legs. Depending on the kind, they can have spots, stripes, or nothing at all. Seven-spotted ladybugs are red or orange with three spots on each side and one in the middle. They have a black head. Ladybugs are colourful for a reason. They tell the enemy:“Eat something else! I taste terrible.”When threatened, they may play dead. Birds are ladybugs' main predators(捕食者), but they are also eaten by frogs, spiders, and dragonflies.第 1 页Ladybugs are happy in many different places,including grasslands,forests, cities, suburbs, and along rivers. Seven-spotted ladybugs are native to Europe but were brought to North America in the mid-1900s.Ladybugs are most active from spring until fall. When the weather turns cold, they look for a warm place to hibernate,such as in rotting logs,under rocks,or even inside houses. These hibernating places can have thousands of ladybugs.The name “ladybug”was given by European farmers who prayed to the Virgin Mary when pests began eating their crops. After ladybugs came and wiped out the invading insects, the farmers named them “beetle of Our Lady”. This later was shortened to “lady beetle”and “ladybug”.1. The underlined word “aphids”in Paragraph 2 is probably a kind of .A.pestB.birdC.plantD.tree2. From the third paragraph we can infer that .A.all ladybugs have spotsB.the colourful body can protect themC.most ladybugs are red or orangeD.frogs are not one of the predators3.The following are all used to describe ladybugs EXCEPT . dybugs can live along riversB.seven-spotted ladybugs were brought to Europe from North Americadybugs are very active in autumnD.the name “ladybug”came from “beetle of Our Lady”4. Which of the following would be the best title for the passage?A.Seven-spotted ladybugsB.The development of ladybugsC.The history of ladybugsdybugsⅢ.完形填空There's an event that changed my life many years ago. It is a memory that 1 comes and goes,but it is one of the most 2 memories that my wife and I 3 .Once we were driving home and decided to 4 at a local gas station to get coffee and something to eat. When we got back into our car, we noticed a man 5 outside in front of the building. You could tell that he was a 6 man. His clothes were 7 . He must have not had enough money to get something to eat. 8 what he did moved all of us.The next thing I remember is a dog that 9 the front of the building.第 2 页I could tell she was a she,because you could tell that she had been 10 puppies(小狗). She was terribly in need of something to eat and I felt so 11 for her. I knew if she didn't eat soon,she and her puppies would not 12 it.My wife and I sat there and looked at her. We 13 that people walked by and didn't even have a look at her. She might not have been as pretty and 14 as most, but she still deserved better. Before my wife and I did anything,15 did. The homeless man, who I thought was hungry himself, went into the store. And what he did brought 16 to me and my wife. He went into the store and,with perhaps all the 17 he may have had, bought a can of dog food and fed that dog.I know that this story isn't as 18 as most stories, but it plays a great part in our lives. That was Mother's Day weekend. And many people 19 that some animals are parents too. And animals are God's 20 like us.1.A.hurriedly B.repeatedlyC.deeplyD.clearly2.A.precious B.enjoyableC.emptyD.painful3.A.forget B.makeC.shareD.guess4.A.arrive B.look C.knock D.stop5.A.standing B.fightingC.sleepingD.eating6.A.hopeless B.carelesselessD.homeless7.A.new B.beautifulC.tornD.colourful8.A.So B.ButC.AndD.Or9.A.attached to B.kept up withC.devoted toD.walked up to10.A.providing B.feedingC.meetingD.leading11.A.sorry B.sillyC.strongD.lucky12.A.stand B.getC.haveD.make第 3 页13.A.hoped B.noticedC.promisedD.pretended14.A.busy B.dirtyC.carefulD.clean15.A.someone B.noneC.anyoneD.nobody16.A.plans B.puzzlesC.tearsD.choices17.A.checks B.foodC.moneyD.flowers18.A.amusing B.inspiringC.embarrassingD.surprising19.A.forget B.rememberC.recallD.think20.A.visitors B.pleasuresC.customersD.creationsⅣ.语法填空阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。
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限时训练(五)Ⅰ.完形填空The White House is one of the world's most famous buildings. __1__ more than 200 years, the White House has been more than just the __2__ of the Presidents and their families. It has stood as a __3__ of the President, the United States government, and the American people. President Theodore Roosevelt __4__ the White House the name in 1901.President Washington, together with city planners, chose the site for the new building. Construction(建造) began when the first cornerstone(基石) was __5__ in October of 1792. Although President Washington managed the construction of the house, he __6__ lived in it. It did not have its owner __7__ 1800. When the White House was nearly __8__ President John Adams who is its __9__ owner and his wife Abigail moved in. Since that time, each President has made his own changes. The White House is, after all, the President's __10__ home. It is also the only private house of a head of state that is open to the __11__ for free.Each year about 15 million people __12__ the White House. As a visitor, you can walk on the White House lawns(草坪), go through its halls and even __13__ a meal from its kitchen! With five full-time cooks, the White House kitchen is able to __14__ dinner to as many as 140 guests. There are also kinds of __15__，including a tennis court, a swimming pool, a movie theater and so on.()1.A.For B．On C．At D．From()2.A.school B．farmC．home D．park()3.A.symbol B．hopeC．success D．mistake()4.A.put B．changedC．wrote D．gave()5.A.found B．treatedC．laid D．fallen()6.A.never B．usuallyC．always D．sometimes()7.A.after B．whileC．until D．since()8.A.displayed B．repairedC．opened D．completed()9.A.first B．secondC．third D．last()10.A.favorite B．personalC．creative D．comfortable()11.A.students B．presidentsC．public D．police()12.A.visit B．clean C．pass D．build()13.A.make B．borrowC．miss D．have()14.A.eat B．buy C．sell D．serve()15.A.houses B．placesC．halls D．personsⅡ.语法填空阅读下面短文，在空白处填入一个适当的词，或填入括号中所给单词的正确形式(每空不多于3个单词)。
I was in line waiting to pay. A little boy in the front was paying 1.________ some clothes.I noticed that the little boy was paying mostly with change(硬币). 2.________ seemed that he had broken his pig bank to do this shopping. However, the cashier told him he was $8.00 short after counting his money.It was clear that the boy had already 3.________(use) all the money. The lady in front of me said, “Well, I could pay half of that.”I told the boy that I could pay 4.________ other half. We dug into our handbags, but 5.________ of us only had ten-dollar bills(纸币). Other shoppers began digging into their bags to find some change. All wanted to offer some help. It was amazing and 6.________(move)．Within minutes the cashier said, “I have too much money.”The cashier didn't need our ten-dollar bills.Then the lady in front of me said, “Wait! I didn't even 7.________(get) a chance to give anything.”I smiled at her and said, “You did your share, 8.________ it was your idea and you started all this.”The little boy thanked us. I was left feeling good. I saw the love and 9.________(kind) of others all around me.The lady in front of me smiled and said, “It sure feels good to give, 10.________ (do) it？”I smiled back and said, “Yes！”详解详析Ⅰ.1.A考查介词。
根据空后的“more than 200 years”可知，此处表示一段时间，所以用介词for。
故选A。
2．C考查名词。
由下一句的说明可知，白宫已不仅仅是总统及其家人的“家”，故用home。
3．A考查名词。
结合语境和常识可知，此处是指白宫已经成为美国总统、美国政府和美国人民的象征。
symbol意为“象征”。
4．D考查动词。
此处是指罗斯福总统在1901年将其命名为“白宫”。
give意为“给予”。
5．C考查动词。
此处是指当1792年10月第一块奠基石放好的时候，白宫的建设就开始了。
lay意为“安放，放置”。
故选C。
6．A考查副词。
根据although所表示的转折关系可知，此处应用表示否定意义的never。
句意：虽然华盛顿总统负责监管白宫的建造，但他从没有在白宫住过。
7．C考查固定搭配。
not…until…为固定词组，意为“直到……才……”。
此处是指直到1800年它才有了自己的主人。
8．D考查动词。
由本句最后的“moved in”可推断，应该是在白宫差不多完工的时候才会住进人来，故用completed。
9．A考查序数词。
结合上下文可知，在白宫差不多完工的时候，总统约翰·亚当斯住进了白宫，这说明他是白宫的“第一任”主人。
10．B考查形容词。
根据下一句中的“the only private house”可知，此处是指白宫毕竟是美国总统的私人住宅。
personal意为“个人的，私人的”。
11．C考查名词。
根据短文第三段的内容可知，白宫向公众免费开放。
the public意为“公众，民众”。
12．A考查动词。
由下一句中的“As a visitor”可知，这些人是来参观的，故用visit。
13．D考查动词。
由空后的“a meal from its kitchen”可推知，此处是指人们可以在白宫吃一顿白宫厨房做的饭。
have a meal意为“吃饭”。
14．D考查动词。
此处是指白宫厨房能够为多达140位客人提供晚餐。
serve sth. to sb.意为“为某人端上某物”。
15．B考查名词。
根据空后对白宫内各种场地的介绍可知，此处是指白宫里还有各种各样的地方。
place 意为“地方”。
Ⅱ.1.for 2.It ed 4.the 5.both6．moving7.get8.because9．kindness10.doesn't。