限时训练(15)
江苏省淮安市淮海中学Ⅲ级部2015届高三上学期数学限时训练(15)

淮安市淮海中学2015届高三III 部数学限时训练15一、填空题(本大题共14小题,每小题5分,共70分。
请将答案填写在答题卷对应的位置上)1.集合{}1,0,1A =-,{}2|1,B x x m m R ==+∈,则AB = ▲2.已知复数i z m =-(m ∈R ,i 为虚数单位),若1i z +()为纯虚数,则z = ▲ 3.某商场有四类食品,其中粮食类、植物油类、动物类及果蔬类分别有40种、10种、30种、20种,现采用分层抽样的方法,从中随机抽取一个容量为20的样本进行食品安全检测,则抽取的动物类食品的种数是 ▲4.连续抛掷一个骰子(一种各面上分别标有1,2,3,4,5,6个点的正方体玩具)两次,则出现向上点数之和大于9的概率是 ▲5.如图,是一个算法的伪代码,则输出的结果是 ▲6. 函数f (x )=sin(x +φ)-2sin φcos x 的最大值为 ▲7.正三棱柱ABC - A 1B 1C 1的底面边长为2,侧棱长为3,D 为BC中点,则三棱锥A - B 1DC 1的体积为 ▲ 8.设{a n }是首项为a 1,公差为-1的等差数列,S n 为其前n 项和.若S 1,S 2,S 4成等比数列,则a 1= ▲9. 设直线l是曲线3()2f x x =+上的一条切线,则切线l 斜率最小时对应的倾斜角为 ▲10.圆心在直线20x y -=上的圆C 与y 轴的正半轴相切,圆C 截x轴所得弦的长为圆C 的标准方程为 ▲11. 若log 4(3a +4b )=log 2ab ,则a +b 的最小值是 ▲12.已知函数()3123f x x x =+,对任意的[]3,3t ∈-,()()20f tx f x -+<恒成立,则x 的取值范围是 ▲13.如图,已知:|AC|=|BC |=4,∠ACB =90°,M 为BC 的中点,D 为以AC 为直径的圆上一动点,则AM DC ⋅的最大值是 ▲ .14.已知实数a ,b ,c 满足a +b +c =0,a 2+b 2+c 2=1,则a 的最大值是 ▲二、解答题:(本大题共6道题,计90分。
高考化学核心考点最新题型限时训练:杂化类型(附答案)

杂化类型、空间构型及等电子体1. (1) NH3分子中N原子的杂化类型为____________。
(2) SO2-4中S原子的杂化类型为____________。
(3) SO2-3中S原子的杂化类型为____________。
(4)已知ClO-为V形,中心氯原子周围有四对价层电子。
ClO-中心氯原子的杂化轨道类型为____________。
(5)甲苯中C原子轨道杂化类型为________________。
(6)丙酮()中C原子轨道杂化类型为____________。
(7)草酸(H2C2O4)中C原子的杂化类型为________________。
(8) CH3COOH中C原子轨道杂化类型为____________。
(9) NH4NO3中N原子杂化轨道类型为____________。
(10)尿素(H2NCONH2)分子中C、N原子的杂化方式依次为____________。
(11)CH3NC(其结构简式为CH3—N≡C)分子中碳原子轨道的杂化类型是____________。
(12)分子中碳原子轨道的杂化类型是________________。
(13) SO2分子中S原子的轨道杂化类型为_______________________。
(14) CH2===CH—CHO分子中碳原子均采用____________杂化。
(15)分子中N原子的杂化类型为____________。
(16)碳酸乙烯酯()中碳原子杂化轨道类型为____________________。
(17)物质A()中碳原子采取的杂化类型为____________。
(18)乳酸()分子中C原子的杂化类型为____________。
(19)配合物A()中碳原子的轨道杂化类型为______________。
(20)碳酸二乙酯()分子中碳原子的轨道杂化类型为____________。
(21)化合物A中碳原子轨道的杂化类型为______________,化合物B中含有____________(填字母)。
高三物理限时训练(9、15)

高三物理限时训练(9、15)一、选择题:1.已知引力常量G 和下列各组数据,能计算出地球质量的是 ( )A .地球公转的周期及地球离太阳的距离B .人造地球卫星在地表运行的周期和轨道半径C .月球绕地球运行的周期及月球的半径D .若不考虑地球自转,知地球的半径及地球表面的g2..假如一颗做匀速圆周运动的人造地球卫星的轨道半径增大为原来的2倍,仍做匀速圆周运动,则( )A .v=ωr ,可知卫星的运行线速度将增大到原来的2倍B .根据公式2mv F r =,可知卫星所需的向心力将减小到原来的1/2C .根据公式2MmF G r=,可知地球提供的向心力将减小到原来的1/4D .以上说法都是错误的3.“嫦娥一号”探月卫星沿地月转移轨道到达月球,在距月球表面200km 的P 点进行第一次“刹车制动”后被月球捕获,进入椭圆轨道Ⅰ绕月飞行,如右图所示。
之后,卫星在P 点经过几次“刹车制动”,最终在距月球表面200km 的圆形轨道Ⅲ上绕月球做匀速圆周运动。
用T 1、T 2、T 3分别表示卫星在椭圆轨道Ⅰ、Ⅱ和圆形轨道Ⅲ上运动的周期,用a 1、a 2、a 3分别表示卫星沿三个轨道运动到P 点的加速度,v 1、v 2、v 3分别表示卫星沿三个轨道运动到P 点的速度,用F 1、F 2、F 3分别表示卫星沿三个轨道运动到P 点时受到的万有引力,则下面关系式中正确的是( ) A .a 1<a 2<a 3 B .v 1<v 2<v 3 C .T 1>T 2>T 3 D .F 1=F 2=F 34.已知地球半径为R ,地面处的重力加速度为g ,一颗距离地面高度为2R 的人造地球卫星绕地球做匀速圆周运动,下列说法正确的是( ) A .卫星的加速度大小为g41 B .卫星的角速度为Rg 27C .卫星的线速度大小为27gRD .卫星的周期为gRπ65.A 、B 是两颗不同的行星,各有一颗在其表面附近运行的卫星.若两颗卫星分别绕A 、B 做匀速圆周运动的周期相等.由此可判断 ( )A .两颗卫星分别绕A 、B 做匀速圆周运动的轨道半径一定相等 B .两颗卫星分别绕A 、B 做匀速圆周运动的线速度一定相等C .行星A 、B 的质量一定相等D .行星A 、B 的平均密度一定相等6.某人造地球卫星因受高空稀薄空气的阻力作用,绕地球运转的轨道会慢慢改变,每次测量中卫星的运动可近似看作圆周运动。
高考英语二轮复习方案专题限时集训(新课标 湖南专用)15 完形填空第二节1 Word含解析

专题限时训练(十五)[完形填空第二节(一)](限时:每篇5分钟)(一)At one point along an open highway,I came to a crossroads with a traffic light.I was alone on the road by now,but 1.________ I drove up to the light,it turned red,and I braked to a halt.I looked left,right,2.________ behind me.Nothing.Not a car,no suggestion of headlights,but there I sat, waiting for the light to change,the only human being for at least a mile in any direction.I started wondering 3.________ I refused to run the light.I was not afraid of being caught by the police,because there was obviously 4.________ policeman anywhere around,and 5.________ certainly would have been no danger in going through it.Much later that night,the same question of why I'd stopped for that light came back to me.I think I stopped because it's part of a contract we all have with each other.It's not only the law,but it's 6.________ agreement we have,and we trust each other to honour it: we don't go through red lights.Like most of us,I'm more ready to be stopped 7.________ doing something bad by the social agreement that disapproves of it 8.________ by any law against it.(二)Whenever a disaster takes place,thousands of people start to contact various organizations and post to online groups in an effort to try to volunteer at 1.________ disaster site.Some2.________ jump into their cars and drive to the area.But 3.___ _____ most of these people don't realize is that spontaneous(自发的)volunteers 4.________ specific training can actually cause more problems rather than reduce them in a disaster situation.In disaster situations,volunteers 5.________ be mentally and physically prepared to work 16 hours a day or more in highly-stressed situations.6.________ may have to live in simple conditions,sleeping in a tent that they bring with them7.________ a gym with many people.And what happens if you get to the situation and discover you can't handle what is happening around you? Volunteers who show up untrained can get in the way rather 8.________ provide some help.So make sure you are trained if you want to be a volunteer.(三)Living in a new country means experiencing a different way of life.This is very exciting and interesting,1.________ it can also be a little challenging at times,because the cultures of all countries are unique.Culture is like 2.________ iceberg.You can see some parts of an iceberg—just like you can see some parts of a country's culture 3.________ you visit it.For example,you can see different ways 4.________ greeting people,hear different languages and observe different festivals and customs.However,a much bigger part of every iceberg is hidden under water.5.________ though this part of the iceberg is hard to see,it is very important—6.________ it,the iceberg would not exist.The same is true of culture.There are many aspects of it 7.________ you cannot see when you visit a different country,for example,the nature of friendship and the importance of time.8.________ will take a long time to understand those values and beliefs.(四)It is inevitable(不可避免的) for us to meet failure and success in everyday life.Most of us are eager for success and scared of failure.However,no one is always successful 1.________ also no one is always a failure.Then 2.________ to deal with failure and success in our life?On the one hand,“Failure is the mother of success.”If we sum 3.________ experiences and lessons after failure,maybe success will come.Nevertheless,if we lose heart and give up former efforts,we will not succeed. 4.________a word,the key to success is our hard struggle.On the other hand,success may cause failure,too.Generally speaking,success often adds confidence and satisfaction,5.________failure is accompanied by misery and sadness.But supposing 6.________ become selfsatisfied once we succeed and stop struggling. Then it's sure that failure will come.We should take 7.________ right attitude towards failure and success.To sum up,there is not an absolute limit between success and failure.8.________ is important is our struggle and attitude.(五)Living in modern society,most people are likely to be under great stress which caused by living and succeeding.1.________,a lot of psychological and social problems arise.To deal with stress effectively,one has to be well-prepared both 2.________ and physically.One has to establish the conception that stress is normal and it can be a motivation of success as long as people accept 3.________ existence.Since we cannot destroy stress,why can't we treat with it in 4.________ optimistic way? Stress is not a thing that we should be afraid of 5.________ what we should make full use of.One has to change the way he lives to reduce the influences 6.________ stress.Staying up late and drinking alcohol helps 7.________ but add the risk of getting worse.Keeping a regular calendar and following a healthy diet helps reduce its effects.Stress is not as frightening as it is described 8.________ people build the right conception of it and keep physical health.(六)Every living thing in an ecosystem depends in some way upon other living and nonliving things in the ecosystem.The living things in an ecosystem are 1.________ producers or consumers.Producers don't eat other living things.Producers make food.Green plants are called primary producers.Plants use nonliving nutrition,such as 2.________ chemicals in soil and water to help them make food.They use energy in sunlight to make food.They also use carbon dioxide in air to make food.Consumers are animals eating 3.________ living things.Animals 4._____ ___ only eat plants are called herbivores(食草动物).Herbivores are primary consumers.Rabbits,mice, 5.________ planteating insects are primary consumers.Animals eating other animals are called carnivores(食肉动物).Carnivores 6.________ bears and hawks are secondary consumers.Ecosystems also have decomposers(分解者).Decomposers break 7.________dead plants,animals and animal wastes.They turn dead material and waste 8.________ chemical nutrition.Plants take in the nutrition with their roots.They use the nutrition to make more food.(七)There is very little time to waste if we agree that the function of education is to prepare us for life.So,while we can,we ought to concentrate 1.________ teaching children something really useful.Politeness is a mark of civilization.2.________ sooner children learn this,the better.In any case,a lot can be accomplished by a smile and good manners.Like it or not,our adult lives will be consumed by the struggle for money,but we don't make an effort to teach children 3.________ to manage it.So our schools have a duty to teach them this ability from the beginning.Children should learn to take care 4.________ their health.They should know that 5.________ they eat junk food,they will become fat and unhealthy.They should be very clear about 6.________ happens to their bodies when they drink or smoke.All of 7.________ are part of society.We have rights and responsibilities.We have to know a little bit of our history and geography,because we need to have an environment in which to relate to the people around us.Our schools should spend every moment they have telling this to our children: this is life,this is what you are going to face,8.________ this is how you deal with it.(八)In the letter,you asked me something about CCTV International.Now I will give you some information 1.________ TV International,2.________ was launched on September 25,2000,is the English-language channel of China Central Television.I like the channel and 3.________ are three reasons.To begin 4.________,it focuses on reporting about Chinese politics,economy,culture,tourism,customs,and society to its audience at home and abroad.Meanwhile,it covers international events.I can keep up with 5.________ has happened and what is going on around the world through st but not 6.________ ,we can practise our listening.In my opinion,CCTV International is 7.________ very useful channel.I spend much of my free time watching 8.________ programs and I hope you will be interested in it,too.专题限时训练(十五)(一)1. when/as考查状语从句的引导词。
15-限时规范训练

15.论述类文本一、阅读下面的文字,完成下面题目。
(12分)决斗谭延桐①欧洲曾流行过一种风俗:决斗。
②当两人发生了龃龉或冲突,各执一端,互不相让时,便约定时间地点,并邀请证人,兵戎相见。
显然这是一种你死我活的格斗。
普希金便是在这样的决斗中死去的。
——我始终不能理解,一个好端端的生命为什么要让它在决斗中毁灭呢?一个鲜活的生命转眼间便倒下了,倒在了他人的咒语和狂笑里,倒在了别人的谈资里,倒在了死不瞑目的时间里,还有比这更残忍的吗?——这样的斗法,形式上虽然废除了,但实质还在。
③这便是精神上的决斗。
④自己跟他人,自己跟自己。
而最主要的,还是自己跟自己,两个“我”之间的争斗和较量。
这里虽然没有《战国策·秦策二》中所说的“今两虎争人而斗,小者必死,大者必伤”的惨重,却也不乏刀光剑影,鹰瞵鹗视,兔起鹘落。
这样的决斗,常常在静默中进行。
当一种想法不尊重另一种想法,一种做法不苟同另一种做法,一种观念不赞成另一种观念,一种眼光不欣赏另一种眼光,一种存在不承认另一种存在,一种梦想不欢迎另一种梦想时,矛盾便种下了,仇恨便发芽了,决斗便开始了。
只是这样的决斗,没法约定时间地点,它每时每刻都有可能发生,或者说它每时每刻都在发生;没有证人在场,或者说只有“自己”这个既是决斗士又是证人的双重角色在场,或者说只有时间这个最公正的证人在场。
输赢也便常常是模糊的,说不清楚的。
——当然那只是暂时的。
——最终,还是有定论的。
⑤这样的决斗,使用的当然都是隐性武器,比如操守,比如胸怀,比如学养,比如智慧,比如意志,比如毅力。
一来二去,也便见出了高低。
特别是在关键时刻,武器实在是称得上定夺乾坤的将军、元帅。
凑手的武器,只要有钱是能够买得到的;称心的武器,花再多的钱也未必。
要得心应手,自己动手铸造武器是惟一的好办法,把自己的骨血、心跳、体温、气息、汗水、泪水、抗争、隐忍、渴望、呼唤、祈祷、祝福等等统统融在一起,加上天地之神气、日月之精华,加上先哲之睿智、圣贤之明慧,一把好剑就铸成了,或一支好枪就做好了。
2014高考历史一轮复习限时规范训练第15课时

必修二专题一古代中国经济的基本结构与特点第15课时古代中国的农业与手工业经济(时间:45分钟满分:100分)一、选择题(本大题共12小题,每小题5分,共60分)1.(原创题)史料记载:“所种之地,惟以伐木,纵火焚烧,用竹锥地成眼,点种苞谷。
”与材料反映时期相符合的生产工具应该是()。
A.铁制工具B.曲辕犁C.风力水车D.石刀石斧解析从材料中的“惟以伐木,纵火焚烧”可以看出其耕作方式是“刀耕火种”,当时的生产工具是石制工具,故选D项。
A、B、C三项出现的时间要晚,且C项属于灌溉工具,皆排除。
答案 D2.(2013·武汉模拟)西汉桑弘羊说:“铁器者,农夫之死士(敢死的勇士)也。
”他这样说的主要原因是()。
A.当时农民必须用铁器B.农业生产开始使用铁器C.当时冶铁业技术提高D.铁器成为必备生产工具解析本题考查理解材料的能力。
“铁器者,农夫之死士也”,意思是铁器是农业必备之生产工具,故D正确。
A项错在“必须”,B项错在“开始”,C项与题干材料无关,皆排除。
答案 D3.(改编题)从图一到图二变化反映的实质是()。
A.私田开垦越来越多B.铁农具和牛耕出现,生产效率提高C.生产关系的变革D.劳动力减少,井田制遭到破坏解析图一是指井田制,土地属于国家所有,不允许土地买卖;图二实质是封建土地私有制的确立;这种变化的实质是生产关系的变革。
答案 C4.史书记载:“水激轮转,众筒兜一下,次第下倾于岸上……以灌稻田,日夜不息,绝胜人力。
”这种提水工具最早出现于()。
A.汉代B.曹魏C.唐朝D.北宋解析从材料判断此灌溉工具的动力是水力。
而隋唐五代时期,在长江流域发明了高转筒车以引低处水灌溉高处农田。
答案 C5.(2013·武汉模拟)有史学家说:“(春秋战国时期)完全的、自由的土地所有权,不仅意味着毫无阻碍和毫无限制地占有土地的可能性,而且也意味着把它出让的可能性。
”此现象出现的根本原因在于()。
A.手工业的发展B.铁器和牛耕的使用C.商品经济的发展D.封建土地私有制的确立解析由材料中“毫无阻碍和毫无限制地占有土地的可能性”可以看出,主要描述的是封建土地私有制的状况,依据所学知识可以看出,封建土地私有制出现的根本原因是铁器和牛耕的使用。
高考地理一轮复习 限时规范训练15 地表形态气候变化对人类活动的影响(含解析)新人教版-新人教版高三

限时规X训练15 地表形态、气候变化对人类活动的影响时间:40分钟分值:90分一、选择题(每小题4分,共44分)(2019·某某实验中学质检)读我国某某流域古代聚落遗址分布示意图,回答下面两题。
1.图示古代聚落遗址主要分布在( D )A.海拔较高的地区 B.河流中下游地区C.山麓冲积扇地区 D.地势平坦的地区解析:读图可知,图示地区总体海拔较低,较大一部分地区海拔在50米以下,图中古代聚落遗址主要分布在西部地势较低地区,且等高线比较稀疏,说明地势平坦。
2.冬季,某某水域面积减小最大的地区可能位于( B )A.西北面 B.西南面C.东北面 D.东南面解析:据图中古代聚落遗址分布可知,西南面聚落较多,且等高线稀疏,说明西南面地势更为平坦,所以某某西南面冬季水域面积减小最大。
(2019·某某某某质检)我国传统村落指民国以前建村,较好保留了历史沿革,村落内建筑环境、建筑风貌、村落选址未有大的变动,具有独特民风民俗,虽经历久远年代,但至今仍为人们服务的村落。
下图示意某某传统村落分布。
据此完成下面两题。
3.造成某某传统村落空间分布差异的主要因素是( B )A.交通 B.地形C.气候 D.文化解析:根据图例可以看出,不同高度传统密度差异较大,因此造成某某传统飘荡空间分布差异的主要因素是地形。
4.某某省中西部传统村落保留数量多的主要原因是( C )A.人口迁出少 B.中原文化历史悠久C.交通不方便 D.现代化农业水平高解析:某某省中西部传统村落多位于海拔较高处的山区,由于交通不方便,受人类干扰少,保留数量多。
(2019·某某模拟)读万达高速公路穿过川东山区的景观图,完成下面两题。
5.该路穿越山区时不呈“之”字形,而是逢山开隧,遇沟建桥,尽量取最短距离。
其原因主要是( A )①节省运营时间,提高运输效率②减少所经聚落,减少拆迁量③缩短公路里程④减轻生态破坏A.①③ B.②③C.③④ D.②④解析:宁愿“逢山开隧,遇沟建桥”增加成本,也不选择“之”字形道路,很明显是为了缩短公路里程,节省运营时间。
无锡新领航教育特供(课程标准卷地区专用)2013高英语二轮复习 专题限时训练配套作业 15

专题限时训练(十五) [定语从句](限时:10分钟)1. China's population is expected to increase to about 1.5 billion in 2040, ________it will start to decline slowly.A.after that B.since whenC.on which D.after which2.Do you remember a certain occasion ________ you were in trouble and at that moment I gave you a hand?A.where B.whichC.why D.when3.She has a gift for creating an atmosphere for her students ________allows them to communicate freely with each other.A.which B.whereC.what D.who4.Windows 7 was created in 2009, ________ many computer lovers were interested and excited.A.where B.whyC.which D.when5. The final exam is a battle ________ everybody wants to show off his or her talent.A.that B.whatC.where D.when6.The new computer, ________ he loves a lot, breaks down frequently.A.which B.whatC.that D.one7.—How about your jobhunting?—No luck.Now,I've reached the stage________I don't care what I do.A.which B.whereC.when D.that8.They've won their last three matches,________I find a bit surprising actually.A.that B.whenC.what D.which9. Tsinghua University, founded in 1911, is a first class university, ________ lots of people are eager to study.A.which B.whereC.when D.why10.There came a point in his life________he had to think seriously about his future.A.what B.thatC.when D.which11.The art museum ________ garden is very attractive will open next week.1。
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一、 选择题:本大题共 8 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.已知集合 A 1, 0, 2 , B x Z 0 x 2,则 A B =( ).
A.0
B.2
C.0,1, 2
D.0, 2
2.函数 y sin( x) 1的图像( ).
5
6 窗口
7
8
过道
9 10 窗口
11 12
13 14 15
16 17
………
4.如图所示,在 6 6 的方格纸中,若起点和终点均在格点的向量 a, b, c 满足
c xa yb, (x, y R) ,则 x y ( ).
A. 0 B. 1
C. 5 5
13
D.
5பைடு நூலகம்
5.阅读右面的程序框图,若输出的 y 1 ,则输入的 x 的值 2
2x , (x ≤ 0)
10.设函数 f (x)
,则方程
log2 x , (x 0)
的解集为
. .
11.在平面直角坐标系 xOy 中,已知点 A (0, 2) ,
B(2, 0) , C(1, 0) ,分别以△ ABC 的
E 边 AB、AC 向外作正方形 ABEF 与 ACGH ,
y F
A
H G
“是乙或丙获奖”,乙说:“甲、丙都未获奖”,丙说:“我获奖了”,丁说:“是乙获奖了”.
四位歌手的话只有两句是对的,则获奖的歌手是
.
14.若集合 A 具有以下性质:① 0 A ,1 A ;②若 x, y A ,则 x y A ;且 x 0 时,
专注数学 成就梦想
1 A ,则称集合 A 是“完美集”.给出以下结论:
可能为( ).
A. 1
B. 0
C. 1
D. 5
6.《莱茵德纸草书》是世界上最古老的数学著作之一.书中有
一道这样的题:把 100 个面包分给 5 个人,使每个人的所得成
1
等差数列,且使较大的三份之和的 是较小的两份之和,则
7
最小一份的量为( ).
5
A.
2
5
B.
4
5
C.
3
5
D.
6
开始
否 是
输出
结束
专注数学 成就梦想
x
其中正确结论的序号是
.
专注数学 成就梦想
则直线 FH 的一般式方程为
.
B OC
x
12.某学校拟建一块周长为 400 米的操场,如图所示,
操场的两头是半圆形,中间区域是矩形,学生做操
一般安排在矩形区域,为了能让学生的做操区域
尽可能大,矩形的长应该 设计成
米.
13.有甲 、乙、丙、丁四位歌手参加比赛,其中只有一位获奖.有人走访了四位歌手,甲说:
x
①集合 B 1, 0,1 是“完美集”;②有理数集 Q 是“完美集”;
③设集合 A 是“完美集”,若 x , y A ,则 x y A ;
④设集合 A 是“完美集”,若 x , y A ,则必有 xy A ;
y ⑤对任意的一个“完美集” A ,若 x, y A ,且 x 0 ,则必有 A .
π A.关于 x 对 称 B.关于 y 轴对称 C.关于原点对称 D.关于 x π 对称
2
3.两旅客坐火车外出旅游,希望座位连在一起,且 有一个靠窗,已知火车上的座位的排法
如图所示,则下列座位号码符合要求的是( ).
A.48,49
B.62,63
C.75,76
D.84,85
1[来源:
2[
3
4[来源
“可等域区间”的“可等域函数”为(
A. f (x) sin( x)
2
C. f (x) 2 x 1
).
B. f (x) 2x 2-1
D. f (x) log 2 2x 2
二、填空题(本大题共 6 小题,每小题 5 分,共 30 分)
9.设向量 a (2, 1) , b (3, 4) ,则向量 a 在向量 b 方向上的投影为
7.如图所示,网格纸上小正方形的边长为 1,粗实线画出的是 某多面体的三视图,则该多面体的各条棱中,最长的棱的长度 为( ).
A. 2 2
B. 6
C. 3
D. 2 3
8.对于函数 f (x) ,若存在区间 A [m,n],使得y | y f (x),x A A ,则称函数
f (x) 为“可等域函数”,区间 A 为函数 f (x) 的一个“可等域区间”.下列函数中存在唯一