2016期末复习第二章综合练习
第二章 练习题

第二章练习题(一)单选题1. 马克思主义认为,人类全部社会生活的本质是() [单选题] *○A.认识○B.探索○C.创造○D.实践2. 辩证唯物主义认识论首要的和基本的观点是() [单选题] *○A.唯物论的观点○B.辩证法的观点○C.实践的观点○D.可知论的观点3. 下列选项中,正确表述了实践含义的是() [单选题] *○A.实践是主体纯主观的精神性活动○B.实践是主观创造客观世界的活动○C.实践是主体应付外部环境的活动○D.实践是主体改造和探索客体的社会性物质活动4. 真理与价值统一的基础是() [单选题] *○A.认识○B.发明○C.创新○D.实践5. 马克思指出,哲学家们只是用不同的方式解释世界,而问题在于改变世界的著作是() [单选题] *○A.《自然辩证法》○B.《德意志意识形态》○C.《关于费尔巴哈的提纲》○D.《共产党宣言》6. 马克思主义认为,实践是() [单选题] *○A.主体创造客体的活动○B.作为主体的人的日常活动○C.主体适应客观环境的活动○D.主客体之间相互作用的过程7. 实践的主体是( ) [单选题] *○A.人○B.具有主体能力,从事现实实践活动的人○C.绝对精神○D.人的意识8. “社会一旦有技术上的需要,这种需要就会比十所大学更能把科学推向前进。
”恩格斯的这段话是指() [单选题] *○A.实践是认识的发展动力○B.实践为认识提供了可能○C.实践使认识得以产生和发展○D.实践是检验认识真理性的唯一标准9. 马克思说:“人的思维是否具有客观的真理性,这不是一个理论的问题,而是一个实践的问题。
人应该在实践中证明自己思维的真理性,即自己思维的现实性和力量,自己思维的此岸性。
”这段话的意思是() [单选题] *○A.实践产生了认识的需要○B.实践为认识提供了可能○C.实践使认识得以产生和发展○D.实践是检验认识真理性的唯一标准10. 习近平指出:“我们党现阶段提出和实施的理论和路线方针政策,之所以正确,就是因为它们都是以我国现时代的社会存在为基础的。
2015-2016学年高二数学下册知识点达标练习32

第二章 2.2 2.2.2考查知识点及角度 难易度及题号基础 中档 稍难 向量加减法运算的综合 2、3、4 6 用已知向量表示其他向量 1 12 向量加、减法运算的应用7、8、9、1113 相反向量及运用5101.四边形ABCD 中,设AB→=a ,AD →=b ,BC →=c ,则DC →=( )A .a -b +cB .b -(a +c )C .a +b +cD .b -a +c解析:DC →=DA →+AB →+BC →=-AD →+AB →+BC →=a -b +c . 答案:A2.如图在平行四边形ABCD 中,下列结论中错误的是( )A.AB→=DC → B.AD→+AB →=AC → C.AB→-AD →=BD → D.AD→+CB →=0 解析:AB →-AD →=DB →,故C 项错. 答案:C3.已知a ,b ,c 是非零向量,则(a +c )+b ,b +(a +c ),b +(c +a ),c +(a +b ),c +(b +a )中,与向量a +b +c 相等的个数为( )A .5B .4C .3D .2解析:依据向量加法的交换律及结合律,每个向量式均与a +b +c 相等,故选A.答案:A4.如图,AB→+BC →-AD →等于( ) A.AD → B.DC → C.DB→ D.AB→ 解析:AB →+BC →-AD →=AB →-AD →+BC →=DB →+BC →=DC →. 答案:B5.若a ,b 为非零向量,且|a +b |=|a |+|b |,则( ) A .a ∥b ,且a 与b 方向相同 B .a ,b 是共线向量 C .a =-bD .a ,b 无论什么关系均可解析:当a 与b 不共线时,一定有|a +b |<|a |+|b |;当a 与b 共线且同向时,有|a +b |=|a |+|b |.选A.答案:A6.如图,在梯形ABCD 中,AD ∥BC ,AC 与BD 交于O 点,则BA→-BC →-OA →+OD →+DA →=________. 解析:由题图知BA→-BC →-OA →+OD →+DA →=CA →-OA →+OA →=CA →.答案:CA→ 7.已知菱形ABCD 边长都是2,求向量AB →-CB →+CD →的模. 解:如图,∵AB→-CB →+CD →=AB →+BC →+CD →=AD →, ∴|AB→-CB →+CD →|=|AD →|=2.8.平面内有四边形ABCD 和点O ,若OA →+OC →=OB →+OD →,则四边形ABCD 的形状是( )A .梯形B .平行四边形C .矩形D .菱形解析:因为OA→+OC →=OB →+OD →,所以OA →-OB →=OD →-OC →,即BA →=CD→.又A ,B ,C ,D 四点不共线,所以|BA →|=|CD →|,且BA ∥CD .故四边形ABCD 为平行四边形.答案:B9.若O 是△ABC 内一点,OA →+OB →+OC →=0,则O 是△ABC 的( )A .内心B .外心C .重心D .垂心解析:如下图,以OB →,OC →为邻边作平行四边形OBDC ,则OD →=OB→+OC →,又OA →+OB →+OC →=0.∴OB→+OC →=-OA →.∴OD →=-OA →. ∴A ,O ,D 三点共线.设OD 与BC 的交点为E ,则E 是BC 的中点,∴AE 是△ABC 的中线.同理可证BO ,CO 都在△ABC 的中线上,∴O 是△ABC 的重心.答案:C10.给出以下五个命题: ①|a |=|b |,则a =b ;②任一非零向量的方向都是唯一的; ③|a |-|b |<|a +b |;④若|a |-|b |=|a |+|b |,则b =0;⑤已知A ,B ,C 是平面上任意三点,则AB →+BC →+CA →=0. 其中正确的命题是________.(填序号)解析:由|a |=|b |,得不到a =b ,因为两个向量相等需要模相等,方向相同,故①不正确;若b =0,|a |-|b |=|a +b |,故③不正确,其他均正确. 答案:②④⑤11.在平行四边形ABCD 中,AB→=a ,AD →=b ,先用a ,b 表示向量AC→和DB →,并回答:当a ,b 分别满足什么条件时,四边形ABCD为矩形、菱形、正方形?解:由向量加法的平行四边形法则,得AC →=a +b ,DB →=AB →-AD →=a -b .当a ,b 满足|a +b |=|a -b |时,平行四边形的两条对角线相等,四边形ABCD 为矩形;当a ,b 满足|a |=|b |时,平行四边形的两条邻边相等,四边形ABCD 为菱形;当a ,b 满足|a +b |=|a -b |且|a |=|b |时,四边形ABCD 为正方形. 12.已知△ABC 为等腰直角三角形,∠ACB =90°,M 为斜边AB 的中点,CM→=a ,CA →=b . 求证:(1)|a -b |=|a |; (2)|a +(a -b )|=|b |.证明:如图,在等腰Rt △ ABC 中,由M 是斜边AB 的中点,有|CM→|=|AM →|,|CA →|=|CB →|. (1)在△ACM 中,AM→=CM →-CA →=a -b . 于是由|AM→|=|CM →|,得|a -b |=|a |. (2)在△MCB 中,MB→=AM →=a -b , 所以CB →=MB →-MC →=a -b +a =a +(a -b ). 从而由|CB→|=|CA →|,得|a +(a -b )|=|b |.13.三个大小相同的力a ,b ,c 作用在同一物体P 上,使物体P 沿a 方向做匀速运动,设P A →=a ,PB →=b ,PC →=c ,判断△ABC 的形状.解:由题意得|a |=|b |=|c |,由于合力作用后做匀速运动,故合力为0,即a +b +c =0.所以a +c =-b .如图,作平行四边形APCD 为菱形.PD→=a +c =-b . 所以∠APC =120°.同理:∠APB =∠BPC =120°. 又因为|a |=|b |=|c |, 所以△ABC 为等边三角形.1.向量减法的实质是向量加法的逆运算.利用相反向量的定义,-AB→=BA →就可以把减法转化为加法.即:减去一个向量等于加上这个向量的相反向量.如a -b =a +(-b ).2.在用三角形法则作向量减法时,要注意“差向量连接两向量的终点,箭头指向被减数”.解题时要结合图形,准确判断,防止混淆.→=a,3.以平行四边形ABCD的两邻边AB、AD分别表示向量AB→=b,则两条对角线表示的向量为AC→=a+b,BD→=b-a,DB→=a AD-b,这一结论在以后应用非常广泛,应该加强理解并记住.沁园春·雪 <毛泽东>北国风光,千里冰封,万里雪飘。
2016年高二年期末综合套卷(二)

2015年厦门十中高二年选修六期末复习校本作业(第21周)套卷(二)AOne morning, Ann’s neighbor Tracy found a lost dog wandering around the local elementary school. She asked Ann if she could keep an eye on the dog. Ann said that she could watch it only for the day.Tracy took photos of the dog and printed off 400 FOUND fliers(传单), and put them in mailboxes. Meanwhile, Ann went to the dollar store and bought some pet supplies, warning her two sons not to fall in love with the dog. At the time, Ann’s son Thomas was 10 years old, and Jack, who was recovering from a heart operation, was 21 years old.Four years later Ann was still looking after the dog, whom they had started to call Riley. When she arrived home from work, the dog threw itself against the screen door and barked madly at her. As soon as she opened the door, Riley dashed into the boys’ room where Ann found Jack suffering a heart attack. Riley ran over to Jack, but as soon as Ann bent over to help him the dog went silent.“If it hadn’t come to get me, the doctor said Jack would have died,”Ann reported to a local newspaper. At this point, no one had called to claim the dog, so Ann decided to keep it.The next morning Tracy got a call. A man named Peter recognized his lost dog and called the number on the flier. Tracy started crying, and told him, “That dog saved my friend’s son.”Peter drove to Ann’s house to pick up his dog, and saw Thomas and Jack crying in the window. After a few moments Peter said, “Maybe Odie was supposed to find you, maybe you should keep it.”21. What did Tracy do after finding the dog?A. She looked for its owner.B. She gave it to Ann as a gift.C. She sold it to the dollar store.D. She bought some food for it.22. How did the dog help save Jack?A. By breaking the door for Ann.B. By leading Ann to Jack’s room.C. By dragging Jack out of the room.D. By attending Jack when Ann was out.23. What was Ann’s attitude to the dog according to Paragraph 4?A. SympatheticB. DoubtfulC. TolerantD. Grateful24. For what purpose did Peter call Tracy?A. To help her friend’s son.B. To interview TracyC. To take back his dogD. To return the flier to her25. What can we infer about the dog from the last paragraph?A. It would be given to Odie.B. It would be kept by Ann’s family.C. It would be returned to Peter.D. It would be taken away by Tracy.BIt was one of those terribly hot days in Baltimore. Needless to say, it was too hot to do anything outside. But it was also scorching in our apartment. This was 1962, and I would not live in a place with an air conditioner for another ten years. So my brother and I decided to leave the apartment to find someplace indoors. He suggested we could see a movie. It was abrilliant plan.Movie theaters were one of the few places you could sit all day and—most important—sit in air conditioning. In those days, you could buy one ticket and sit through two movies. Then the theater would show the same two movies again. If you wanted to, you could sit through them twice. Most people did not do that, but the manager at our theater, Mr. Bellow, did not mind if you did.That particular day, my brother and I sat through both movies twice, trying to escape the heat. We bought three bags of popcorn and three sodas each. Then, we sat and watched The Music Man followed by The Man Who Shot Liberty Valance. We’d already seen the second movie once before. _It_ had been at the theater since January, because Mr, Bellow loved anything with John Wayne in it.We left theater around 8, just before the evening shows began. But we returned the next day and saw the same two movies again, twice more. And we did it the next day too. Finally, on the fourth day, the heat wave broke.Still, to this day I can sing half the songs in The Music Man and recite half of John Wayne and Jimmy Stewart’s dialogue from The Man Who Shot Liberty Valance! Those memories are some of the few I have of the heat wave of 1962. They’re really memories of the screen, not memories of my life.26. In which year did the author first live in a place with an air conditioner?A. 1952B. 1962C. 1972D. 198227. What does the underlined word “It”in Paragraph 3 refer to?A. The heatB. The theatreC. The Music ManD. The Man Who Shot Liberty Valance28. What do we know about Mr. Bellow?A. He loved children very much.B. He was a fan of John Wayne.C. He sold air conditioners.D. He was a movie star.29. Why did the author and his/her brother see the same movies several times?A. The two movies were really wonderful.B. They wanted to avoid the heat outside.C. The manager of the theater was friendly.D. They liked the popcorn and the soda at the theater.30. What can we learn from the last paragraph?A. The author turned out to be a great singer.B. The author enjoyed the heat wave of 1962.C. The author’s life has been changed by the two movies.D. The author considers the experience at the theater unforgettable.CElizabeth Freeman was born about 1742 to African American parents who were slaves. At the age of six months she was acquired, along with her sister, by John Ashley, a wealthy Massachusetts slaveholder. She became as “Mumbet”or “Mum bett.”For nearly 30 years Mumbet served the Ashley family. One day, Ashley’s wife tried to strike Mumbet’s sister with a spade. Mumbet protected her sister and took the blow instead. Furious, she left the house and refused to come back. When the Ashleys tried to make her return, Mumbet consulted a lawyer, Theodore Sedgewick. With his help, Mumbet sued(起诉)for her freedom.While serving the Ashleys, Mumbet had listened to many discussions of the new Massachusetts constitution.Strangely enough, after the trial, the Ashleys asked Mumbet to come back and work for them as a paid employee. She declined and instead went to work for Sedgewick. Mumbet died in 1829, but her legacy lived on in her many descendants(后裔). One of her great-grandchildren was W.E.B. Du Bois, one of the founders of the NAACP, and an important writer and spokesperson for African American civil rights.Mumbet’s tombstone still stands in the Massachusetts cemetery where she was buried. It reads, in part: “She was born a slave and remained a slave for nearly thirty years. She could neither read nor write, yet in her own sphere she had no s uperior or equal.”31. What do we know about Mumbet according to Paragraph 1?A. She was born a slave.B. She was a slaveholder.C. She had a famous sister.D. She was born into a rich family.32. Why did Mumbet run away from the Ashleys?A. She found an employer.B. She wanted to be a lawyer.C. She was hit and got angry.D. She had to take care of her sister.33. What did Mumbet learn from discussion about the new constitution?A. She should always obey her owners’orders.B. She should be as free and equal as whites.C. How to be a good servant.D. How to apply for a job.34. What did Mumbet do after the trial?A. She chose to work for a lawyer.B. She found the NAACP.C. She continued to serve the Ashleys.D. She went to live with her grandchildren.35. What is the text mainly about?A. A story of a famous writer and spokesperson.B. The friendship between a lawyer and a slave.C. The life of a brave African American woman.D. A trial that shocked the whole world.DHow fit are your teeth? Are you lazy about brushing them? Never fear: An inventor is on the case. An electric toothbrush senses how long and how well you brush, and it lets you track your performance on your phone.The Kolibree toothbrush was exhibited at International Consumer Electronics Show in Las Vegas this week. It senses how it is moved and can send the information to an Android phone or iPhone via a Bluetooth wireless connection.The toothbrush will be able to teach you to brush right(don’t forget the insides of the teeth!) and make sure you’re brushing long enough. “It’s kind of like having a dentist actually watch your brushing on a day-to-day basis,”says Thomas Serval, the French inventor.The toothbrush will also be able to talk to other applications on your phone, so developers could, for instance, create a game controlled by your toothbrush. You could score points for beating monsters among your teeth. “We try to make it smart but also fun,” Serval says.Serval says he was inspired by his experience as a father. He would come home from work and ask his kids if they had brushed their teeth. They said “yes,”but Serval would find their toothbrush heads dry. He decided he needed a brush that really told him how well his children brushed.The company says the Kolibree will go on sale this summer, for$99 to $199, depending on features. The U.S. is the first target market.Serval says that one day, it’ll be possible to replace the brush on the handle with a brushing unit that also has a camera. The camera can even examine holes in your teeth while you brush.36. Which is one of the features of the Kolibree toothbrush?A. It can sense how users brush their teeth.B. It can track users’ school performance.C. It can detect users’ fear of seeing a dentist.D. It can help users find their phones.37. What can we learn from Serval’s words in Paragraph 3?A. You will find it enjoyable to see a dentist.B. You should see your dentist on a day-to-day basis.C. You can brush with the Kolibree as if guided by a dentist.D. You’d like a dentist to watch you brush your teeth every day.38. Which of the following might make the Kolibree toothbrush fun?A. It can be used to update mobile phones.B. It can be used to play mobile phone games.C. It can send messages to other users.D. It can talk to its developers.39. What is Paragraph 5 mainly about?A. How Serval found his kids lied to him.B. Why Serval thought brushing teeth was necessary.C. How Serval taught his kids to brush their teeth.D. What inspired Serval to invent the toothbrush.40. What can we infer about Serval’s children?A. They were unwilling to brush their teeth.B. They often failed to clean their toothbrushes.C. They preferred to use a toothbrush with a dry head.D. They liked brushing their teeth after Serval came home.41. What can we learn about the future development of the Kolibree?A. The brush handle will be removed.B. A mobile phone will be built into it.C. It will be used to fill holes in teeth.D. It will be able to check users’teeth.EThe kids in this village wear dirty, ragged clothes. They sleep beside cows and sheep in huts made of sticks and mud. They have no school. Yet they all can chant the English alphabet, and some can make words.The key to their success: 20 tablet computers(平板电脑) dropped off in their Ethiopian village in February by a U.S. group called One Laptop Per Child.The goal is to find out whether kids using today’s new technology can teach themselvesto read in places where no schools or teachers exist. The Massachusetts Institute of Technology researchers analyzing the project data say they’re already amazed. “What I think has already happened is that the kids have already learned more than they would have in one year of kindergarten,” said Matt Keller, who runs the Ethiopia program.The fastest learner—and the first to turn on one of the tablets—is 8-year-old Kelbesa Negusse. The device’s camera was disabled to save money, yet within weeks Kelbesa had figured out its workings and made the camera work. He called himself a lion, a marker of accomplishment in Ethiopia.With his tablet, Kelbesa rearranged the letters HSROE into one of the many English animal names he knows. Then he spelled words on his own. “Seven months ago he didn’t know any English. That’s unbelievable, ”said Keller.The project aims to get kids to a stage called “deep reading,”where they can read to learn. It won’t be in Amharic, Ethiopia’s first language, but in English, which is widely seen as the ticket to higher paying jobs.42. How does the Ethiopia program benefit the kids in the village?A. It trains teachers for them.B. It contributes to their self-studyC. It helps raise their living standards.D. It provides funds for building schools43. What can we infer from Keller’s words in Paragraph 3?A. They need more time to analyze data.B. More children are needed to for the research.C. He is confident about the future of the project.D. The research should be carried out in kindergartens.44. It amazed Keller that with the tablet Kelbesa could_______.A. learn English words quicklyB. draw pictures of animalsC. write letters to researchersD. make phone calls to his friends45. What is the aim of the project?A. To offer Ethiopians higher paying jobs.B. To make Amharic widely used in the world.C. To help Ethiopian kids read to learn in English.D. To assist Ethiopians in learning their first language.(二)根据短文内容,从短文后的七个选项中选出正确的填入空白处。
财考网2016年注册会计师《公司战略与风险管理》第二章精华练习题(三)

财考网2016年《公司战略与风险管理》第二章精华习题【例题16·多选题】乙公司是苏州一家集团企业,其主营业务为原木材料的供应,其他业务为家具制造、公园设施基建工程业务等。
乙公司拥有多年加工木材的经验及大型加工场所,木材产量位居全国第二。
乙公司自主品牌家具在2008年成为欧洲单一品牌家具销量之首。
根据上述信息,可以判断乙公司所拥有的无形资源有()。
A.加工场B.组织经验C.品牌D.专利『正确答案』BC『答案解析』本题考核对无形资源概念的理解。
无形资源,是指企业长期积累的、没有实物形态的、甚至无法用货币精确度量的资源,通常包括品牌、商誉、技术、专利、商标、企业文化及组织经验等。
乙公司拥有多年加工木材的经验,说明有组织经验;同时拥有自主品牌,所以正确答案是BC。
【例题17·多选题】甲公司是一家国际知名的快餐连锁企业。
下列各项中,属于甲公司战略分析时必须关注的企业资源有()。
A.自动化生产线B.独特的企业文化C.经验丰富的厨师D.作为商业秘密保管的食品配方『正确答案』ABCD『答案解析』企业的资源包括实物资源、无形资源和人力资源,选项A属于实物资源;选项B和D都属于无形资源;C为人力资源。
【例题18·多选题】下列关于企业资源的表述中,正确的有()。
A.企业文化和组织经验不属于企业资源B.企业的管理人员属于企业的无形资源C.企业的无形资源一般难以被竞争对手了解、购买、模仿或替代D.企业的有形资源列示在资产负债表的账面价值不能完全代表其战略价值『正确答案』CD『答案解析』无形资源,是指企业长期积累的、没有实物形态的、甚至无法用货币精确度量的资源,通常包括品牌、商誉、技术、专利、商标、企业文化及组织经验等。
所以选项A不正确;企业管理人员属于企业的人力资源。
所以选项B不正确。
尽管无形资源难以精确度量,但由于无形资源一般都难以被竞争对手了解、购买、模仿或替代,因此,无形资源是一种十分重要的企业核心竞争力的来源。
(完整word版)人教版必修二第二章复习题含答案,推荐文档

章末检测卷(二)(时间:90分钟满分:100分)一、选择题(本题包括15小题,每小题3分,共45分;每小题只有一个选项符合题意)1 •在西部大开发中,国家投巨资兴建“西气东输”工程,将西部蕴藏的丰富资源通过管道输送到东部地区。
这里所指的“西气”的主要成分是()A • CO B. CH4 C. H2 D • NH3激光答案B2•据报道,某国一集团拟在太空建造巨大的集光装置,把太阳光变成激光用于分解海水制氢:2H2O2H2f + 02 f,下列说法正确的是()A •水的分解反应是放热反应B •氢气是一次能源C.使用氢气作燃料将会增加温室效应 D •在这一反应中,光能转化为化学能答案D解析水的分解反应是吸热反应;H2是二次能源;H2是清洁能源,不会增加温室效应。
3•太阳能的开发和利用是21世纪一个重要课题。
利用储能介质储存太阳能的原理是:白天在太阳照射下某种盐熔化,吸收热量,晚间熔盐固化释放出相应的能量,已知数据:其中最适宜作为储能介质的是()A • CaCl2 6H2OB • Na2SO4 1OH2OC • Na2HPO4 12H2OD • Na2&03 5H2O答案 B 解析该盐应是熔点不能太高,熔化吸热应较高,价格适中。
4•绿色能源是指使用过程中不排放或排放极少污染物的能源,如一次能源中的水能、地热能、天然气等;二次能源中的电能、氢能等。
下列能源属于绿色能源的是()①太阳能②风能③石油④煤⑤潮汐能⑥木材A .①②③B .③④⑤C .④⑤⑥D .①②⑤答案 D 解析石油、煤、木材在使用过程中排放出污染物(如二氧化硫等)。
5 .下列措施不符合节能减排的是()A •大力发展火力发电,解决电力紧张问题B •在屋顶安装太阳能热水器为居民提供生活用热水C.用石灰对煤燃烧后形成的烟气脱硫,并回收石膏D .用杂草、生活垃圾等有机废弃物在沼气池中发酵产生沼气,作家庭燃气 答案 A 解析 火力发电,必须使用外界的能源,不节能,故是节能的,B 项符合;回收石膏,是充分利用原料的一种表现, C 项符合;沼气作为燃气,是节能的, D 项符合。
《结构化学》第二章期末复习题

2001 2002在直角坐标系下,已知类氢离子I《结构化学》第二章习题2+,Li 的Schr?dinger 方程为_____________He+的某一状态波函数为:322r2 - ea。
-2r 2a0则此状态的能量为(a),此状态的角动量的平方值为(b),此状态角动量在z方向的分量为(c),此状态的n, 1, m值分别为(d),此状态角度分布的节面数为(e)。
的1s波函数为芒02003 已知Li2+1 2-3r a oe2004 20052006 2007 2008 (1) 计算(2) 计算(3) 计算1s1s1sQO ‘电子径向分布函数最大值离核的距离; 电子离核平均距离;电子概率密度最大处离核的距离。
写出Be原子的Schr?dinger方程。
已知类氢离子He+的某一状态波函数为4(2江 1 2。
丿I2亠a-2“ 2a°则此状态最大概率密度处的r值为此状态最大概率密度处的径向分布函数值为此状态径向分布函数最大处的r值为在多电子原子中,单个电子的动能算符均为电子的动能都是相等的,对吗?原子轨道是指原子中的单电子波函数,吗?原子轨道是原子中的单电子波函数,(a),(b),(c)。
2所以每个8 二mo所以一个原子轨道只能容纳一个电子,对每个原子轨道只能容纳个电子。
H 原子的r, B, ©可以写作 R r 0©三个函数的乘积,这三个函数分别由量子数(a) , (b),(c)来规定。
已知 书=R 丫 = R 。
::J,其中R ,。
2 ,Y 皆已归一化,则下列式 中哪些成立?()(A )°、2dr =1(B) oR.r =1旳22J 2(C) 0 ( Y d B© = 1(D) J 0。
Sin Gd B = 1对氢原子门方程求解,(A) 可得复数解「m = Aexp im '■ (B) 根据归一化条件数解m|2d 1,可得A=(1/2二严(C) 根据G m 函数的单值性,可确定 丨m | = 0, 1 , 2,…,I(D) 根据复函数解是算符M?z 的本征函数得 M z= mh/2 TL(E) 由「方程复数解线性组合可得实数解以上叙述何者有错? ---------------------------------------- ()求解氢原子的Schr?dinger 方程能自然得到 n , I , m , m s 四个量子数,对吗?解H 原子门©方程式时,由于波函数e im'要满足连续条件,所以只能为整数,对吗?2p x , 2p y , 2p z 是简并轨道,它们是否分别可用三个量子数表示:2p x : (n=2, l=1, m=+1) 2p y :(n=2, l=1, m=-1) 2p z: (n=2, l=1, m=0 )给出类H 原子波函数已知类氢离子sp 3杂化轨道的一个波函数为:求这个状态的角动量平均值的大小。
综合练习题(第2章)

综合练习题(第2章)一、填空题1.__________和__________是显示统计资料的两种主要方式。
2.美国10家公司在电视广告上的花费如下(百万美元):72,63.1,54.7,54.3,29,26.9,25,23.9,23,20。
样本数据的中位数为3.分组的目的是找出数据分布的数量规律性,因此在一般情况下,组数不应少于5组,也不应多于组。
4.现有数据3,3,1,5,13,12,11,9,7。
它们的中位数是。
5.众数、中位数和均值中,不受极端值影响的是______。
6.和是从数据分布形状及位置角度来考虑的集中趋势代表值,而是经过对所有数据计算后得到的集中趋势值。
7.下列数据是某班的统计学考试成绩:72,90,91,84,85,57,90,84,77,84,69,77,66,87,55,95,86,78,86,85,87,92,73,82。
这些成绩的极差是。
8.在统计学考试中,男生的平均成绩为75分,女生的平均成绩为80分,如果女生人数占全班人数的2/3,则全班统计学平均成绩为____。
9.变异系数为0.4,均值为20,则标准差为。
10.分组数据中各组的值都减少1/2,每组的次数都增加1倍,则加权算术平均数将_______。
11.已知某村2005年人均收入为2600元,收入的离散系数为0.3,则该村村民平均收入差距(标准差)为______。
12.根据下列样本数据3,5,12,10,8,22计算的标准差为(保留3位有效数字)。
二、单项选择题1.1990年发表的一篇文章讨论了男性和女性MBA毕业生起薪的差别。
文章称,从前20名商学院毕业的女性MBA的平均起薪是54749美元,中位数是47543美元,标准差是10250美元。
根据这些可以判断,女性MBA起薪的分布形状是()A. 尖峰,对称B. 右偏C. 左偏D. 均匀2.在某公司进行的计算机水平测试中,新员工的平均得分是80分,标准差是5分,中位数是86分,则新员工得分的分布形状是()A. 对称的B. 左偏的C. 右偏的D. 无法确定3.加权算术平均数的大小()A.主要受各组标志值大小的影响,而与各组次数的多少无关。
高中数学 第二章 平面解析几何初步综合测试A(含解析)新人教B版必修2

【成才之路】2015-2016学年高中数学 第二章 平面解析几何初步综合测试A 新人教B 版必修2时间120分钟,满分150分。
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个是符合题目要求的)1.数轴上三点A 、B 、C ,已知AB =2.5,BC =-3,若A 点坐标为0,则C 点坐标为( ) A .0.5 B .-0.5 C .5.5 D .-5.5[答案] B[解析] 由已知得,x B -x A =2.5,x C -x B =-3,且x A =0,∴两式相加得,x C -x A =-0.5,即x C =-0.5.2.(2015·福建南安一中高一期末测试)已知直线经过点A (0,4)和点B (1,2),则直线AB 的斜率为( )A .3B .-2C .2D .不存在[答案] B[解析] 由斜率公式得,直线AB 的斜率k =2-41-0=-2.3.已知点A (1,2,2)、B (1,-3,1),点C 在yOz 平面上,且点C 到点A 、B 的距离相等,则点C 的坐标可以为( )A .(0,1,-1)B .(0,-1,6)C .(0,1,-6)D .(0,1,6)[答案] C[解析] 由题意设点C 的坐标为(0,y ,z ), ∴1+y -22+z -22=1+y +32+z -12,即(y -2)2+(z -2)2=(y +3)2+(z -1)2. 经检验知,只有选项C 满足.4.过两点(-1,1)和(3,9)的直线在x 轴上的截距是( ) A .-32B .-23C .25D .2[答案] A[解析] 由题意,得过两点(-1,1)和(3,9)的直线方程为y =2x +3.令y =0,则x =-32, ∴直线在x 轴上的截距为-32,故选A .5.已知直线l 1:(k -3)x +(4-k )y +1=0与l 2:2(k -3)x -2y +3=0平行,则k 的值是( )A .1或3B .1或5C .3或5D .1或2[答案] C[解析] 当k =3时,两直线显然平行;当k ≠3时,由两直线平行,斜率相等,得-k -34-k=2k -32.解得k =5,故选C .6.在平面直角坐标系中,正△ABC 的边BC 所在直线的斜率为0,则AC 、AB 所在直线的斜率之和为( )A .-2 3B .0C . 3D .2 3[答案] B[解析] 如图所示.由图可知,k AB =3,k AC =-3,∴k AB +k AC =0.7.直线3x -2y +m =0与直线(m 2-1)x +3y +2-3m =0的位置关系是( ) A .平行B .垂直C .相交D .与m 的取值有关[答案] C[解析] 由3×3-(-2)×(m 2-1)=0,即2m 2+7=0无解.故两直线相交. 8.若点(2,2)在圆(x +a )2+(y -a )2=16的内部,则实数a 的取值范围是( ) A .-2<a <2 B .0<a <2 C .a <-2或a >2 D .a =±2[答案] A[解析] 由题意,得(2+a )2+(2-a )2<16, ∴-2<a <2.9.(2015·辽宁沈阳二中高一期末测试)设A 、B 是x 轴上的点,点P 的横坐标为2,且|PA |=|PB |,若直线PA 的方程为x -y +1=0,则直线PB 的方程为( )A .x +y -5=0B .2x -y -1=0C .x -2y +4=0D .2x +y -7=0[答案] A[解析] 由题意知,点P 在线段AB 的垂直平分线x =2上.由⎩⎪⎨⎪⎧x =2x -y +1=0,得y =3.∴P (2,3).令x -y +1=0中y =0,得x =-1, ∴A (-1,0).又∵A 、B 关于直线x =2对称, ∴B (5,0).∴直线PB 的方程为y 3-0=x -52-5,即x +y -5=0.10.设m >0,则直线2(x +y )+1+m =0与圆x 2+y 2=m 的位置关系为( ) A .相切 B .相交 C .相切或相离 D .相交或相切[答案] C[解析] ∵m >0,∴圆心(0,0)到直线2(x +y )+1+m =0的距离d =|1+m |2+2=1+m2,圆x 2+y 2=m 的半径r =m ,由1+m 2-m =1-2m +m2=1-m22≥0,得d ≥r ,故选C .11.两圆x 2+y 2-4x +2y +1=0与x 2+y 2+4x -4y -1=0的公切线有( )A.1条B.2条C.3条D.4条[答案] C[解析]x2+y2-4x+2y+1=0的圆心为(2,-1),半径为2,圆x2+y2+4x-4y-1=0的圆心为(-2,2),半径为3,故两圆外切,即两圆有三条公切线.12.一辆卡车宽1.6 m,要经过一个半圆形隧道(半径为3.6 m)则这辆卡车的平顶车篷篷顶距地面高度不得超过( )A.1.4 m B.3.5 mC.3.6 m D.2.0 m[答案] B[解析]圆半径OA=3.6 m,卡车宽1.6 m,∴AB=0.8 m,∴弦心距OB= 3.62-0.82≈3.5 m.二、填空题(本大题共4个小题,每小题4分,共16分,把正确答案填在题中横线上)13.若点(2,k)到直线3x-4y+6=0的距离为4,则k的值等于________.[答案]-2或8[解析]由题意,得|6-4k+6|32+-42=4,∴k=-2或8.14.以点A(2,0)为圆心,且经过点B(-1,1)的圆的方程是________.[答案](x-2)2+y2=10[解析]由题意知,圆的半径r=|AB|=-1-22+1-02=10.∴圆的方程为(x -2)2+y 2=10.15.若直线x +3y -a =0与圆x 2+y 2-2x =0相切,则a 的值为________. [答案] -1或3[解析] 圆心为(1,0),半径r =1,由题意,得|1-a |1+3=1,∴a =-1或3.16.(2015·山东莱州市高一期末测试)已知直线l 垂直于直线3x +4y -2=0,且与两个坐标轴构成的三角形的周长为5个单位长度,直线l 的方程为________.[答案] 4x -3y +5=0或4x -3y -5=0[解析] 由题意可设直线l 的方程为y =43x +b ,令x =0,得y =b ,令y =0,得x =-34b .∴三角形的周长为|b |+34|b |+54|b |=5,解得b =±5,故所求直线方程为4x -3y +5=0或4x -3y -5=0.三、解答题(本大题共6个大题,共74分,解答应写出文字说明,证明过程或演算步骤) 17.(本题满分12分)正方形ABCD 的对角线AC 在直线x +2y -1=0上,点A 、B 的坐标分别为A (-5,3)、B (m,0)(m >-5),求B 、C 、D 点的坐标.[解析] 如图,设正方形ABCD 两顶点C 、D 坐标分别为(x 1,y 1)、(x 2,y 2).∵直线BD ⊥AC ,k AC =-12,∴k BD =2,直线BD 方程为y =2(x -m ),与x +2y -1=0联立解得⎩⎪⎨⎪⎧x =15+45m y =25-25m,点E 的坐标为⎝ ⎛⎭⎪⎫15+45m ,25-25m ,∵|AE |=|BE |, ∴⎝ ⎛⎭⎪⎫15+45m +52+⎝ ⎛⎭⎪⎫25-25m -32 =⎝ ⎛⎭⎪⎫15+45m -m 2+⎝ ⎛⎭⎪⎫25-25m 2, 平方整理得m 2+18m +56=0,∴m =-4或m =-14(舍∵m >-5),∴B (-4,0).E 点坐标为(-3,2),∴⎩⎪⎨⎪⎧-3=-5+x 122=3+y12,∴⎩⎪⎨⎪⎧x 1=-1y 1=1.即点C (-1,1), 又∵⎩⎪⎨⎪⎧-3=-4+x 222=0+y22,∴⎩⎪⎨⎪⎧x 2=-2y 2=4,即点D (-2,4).∴点B (-4,0)、点C (-1,1)、点D (-2,4).18.(本题满分12分)已知一直线通过点(-2,2),且与两坐标轴所围成的三角形的面积为1,求这条直线的方程.[解析] 设直线方程为y -2=k (x +2),令x =0得y =2k +2,令y =0得x =-2-2k,由题设条件12⎪⎪⎪⎪⎪⎪-2-2k ·||2k +2=1,∴2(k +1)2=|k |,∴⎩⎪⎨⎪⎧k >02k 2+3k +2=0或⎩⎪⎨⎪⎧k <02k 2+5k +2=0,∴k =-2或-12,∴所求直线方程为:2x +y +2=0或x +2y -2=0.19.(本题满分12分)已知直线y =-2x +m ,圆x 2+y 2+2y =0. (1)m 为何值时,直线与圆相交? (2)m 为何值时,直线与圆相切? (3)m 为何值时,直线与圆相离?[解析] 由⎩⎪⎨⎪⎧y =-2x +mx 2+y 2+2y =0,得5x 2-4(m +1)x +m 2+2m =0.Δ=16(m +1)2-20(m 2+2m )=-4[(m +1)2-5], 当Δ>0时,(m +1)2-5<0, ∴-1-5<m <-1+ 5. 当Δ=0时,m =-1±5,当Δ<0时,m <-1-5或m >-1+ 5.故(1)当-1-5<m <-1+5时,直线与圆相交; (2)当m =-1±5时,直线与圆相切;(3)当m <-1-5或m >-1+5时,直线与圆相离.20.(本题满分12分)求与圆C 1:(x -2)2+(y +1)2=4相切于点A (4,-1),且半径为1的圆C 2的方程.[解析]解法一:由圆C 1:(x -2)2+(y +1)2=4,知圆心为C 1(2,-1), 则过点A (4,-1)和圆心C 1(2,-1)的直线的方程为y =-1, 设所求圆的圆心坐标为C 2(x 0,-1), 由|AC 2|=1,即|x 0-4|=1, 得x 0=3,或x 0=5,∴所求圆的方程为(x -5)2+(y +1)2=1,或(x -3)2+(y +1)2=1. 解法二:设所求圆的圆心为C 2(a ,b ), ∴a -42+b +12=1,①若两圆外切,则有a -22+b +12=1+2=3,②联立①、②解得a =5,b =-1, ∴所求圆的方程为(x -5)2+(y +1)2=1; 若两圆内切,则有a -22+b +12=2-1=1,③联立①、③解得a =3,b =-1, ∴所求圆的方程为(x -3)2+(y +1)2=1.∴所求圆的方程为(x -5)2+(y +1)2=1,或(x -3)2+(y +1)2=1.21.(本题满分12分)(2014·甘肃庆阳市育才中学高一期末测试)已知两圆x 2+y 2+6x -4=0,x 2+y 2+6y -28=0.求:(1)它们的公共弦所在直线的方程; (2)公共弦长.[解析] (1)由两圆方程x 2+y 2+6x -4=0,x 2+y 2+6y -28=0相减,得x -y +4=0. 故它们的公共弦所在直线的方程为x -y +4=0.(2)圆x 2+y 2+6x -4=0的圆心坐标为(-3,0),半径r =13, ∴圆心(-3,0)到直线x -y +4=0的距离d =|-3-0+4|12+-12=22, ∴公共弦长l =2132-222=5 2.22.(本题满分14分)(2015·湖南郴州市高一期末测试)已知圆的方程为x 2+y 2-2x -4y +m =0.(1)若圆与直线x +2y -4=0相交于M 、N 两点,且OM ⊥ON (O 为坐标原点),求m 的值;(2)在(1)的条件下,求以MN 为直径的圆的方程. [解析] (1)圆的方程可化为(x -1)2+(y -2)2=5-m , ∴m <5.设M (x 1,y 1)、N (x 2,y 2).由⎩⎪⎨⎪⎧x +2y -4=0x 2+y 2-2x -4y +m =0,得5y 2-16y +m +8=0, ∴y 1+y 2=165,y 1y 2=m +85.x 1x 2=(4-2y 1)(4-2y 2)=16-8(y 1+y 2)+4y 1y 2,∵OM ⊥ON ,∴k OM ·k ON =-1, 即x 1x 2+y 1y 2=0.∴16-8(y 1+y 2)+5y 1y 2=0, ∴16-8×165+8+m =0,∴m =85.(2)以MN 为直径的圆的方程为(x -x 1)(x -x 2)+(y -y 1)(y -y 2)=0, 即x 2+y 2-(x 1+x 2)x -(y 1+y 2)y =0.又x 1+x 2=4-2y 1+4-2y 2=8-2(y 1+y 2)=85,∴以MN 为直径的圆的方程为x 2+y 2-85x -165y =0.。
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期末复习 第二章综合练习1.对于在一个密闭容器中进行的可逆反应: C(s)+ O 2 = CO 2 (g) 下列说法中错误的是( )A .将碳块粉碎成粉末可以加快化学反应速率B .增大氧气的量可以加快化学反应速率 C.缩小体积增大压强可以加快化学反应速率D.增加碳的量可以加快化学反应速率2.惰性气体对反应速率的影响(1)如果保持恒温恒容,加入惰性气体后,反应物的浓度 ,因此对反应速率 。
(2)如果恒温恒压,加入惰性气体后,反应体系体积 ,反应物的浓度 ,因此反应速率会 。
3.反应C(s)+H 2O(g)=CO(g)+H 2(g)在一可变容积的密闭容器中进行,下列条件的改变对其反应速率几乎无影响的是( )A.增加C 的量B.将容器的体积缩小一半C.保持体积不变,充入N 2使体系压强增大D.保持压强不变,充入N 2使容器体积变大E.保持压强不变,充入CO 使容器体积变大4.对于反应∶N 2+O 22NO ,在密闭容器中进行,下列条件能加快反应速率的是 ( ) A 、缩小体积使压强增大; B 、体积不变充入氮气使压强增大; C 、体积不变充入惰性气体;D 、使总压强不变,充入惰性气体。
5.设NO+CO 2 NO 2+CO(正反应吸热)反应速率为v 1;N 2+3H 2 2NH 3 (正反应放热)反应速率为v 2。
对于前述反应,当温度升高时,v 1和v 2变化情况为( )A .同时增大 B.同时减小 C.v 1减少,v 2增大 D.v 1增大,v 2减小 6.在一定条件下,2NO + O 2 NO 2达到平衡的标志是( )A. NO 、O2、NO2分子数目比是2:1:2B. 反应混合物中各组分物质的浓度相等C. 混合气体的颜色不再变化D. 混合气体的平均相对分子质量改变7.向一容积为1L 的密闭容器中加入一定量的X 、Y ,发生化学反应aX(g)+2Y(s) bZ(g);△H <0。
右图是容器中X 、Z 的物质的量浓度随时间变化的曲线。
根据以上信息,下列说法正确的是A .用X 表示0~10min 内该反应的平均速率为v(X)=0.045mol/(L·min)B .根据上图可求得方程式中a :b = 1:3,C .推测在第7min 时曲线变化的原因可能是升温D .推测在第13min 时曲线变化的原因可能是降温8.反应:4NH 3+5O 2 ===4NO+6H 2O ,在5L 的密闭容器中进行,半分钟后,NO 的物质的量增加了0.3mol ,则此反应的平均速率表示正确的是( )A. v (O 2)=0.01mol ・L -1・s -1B.v (NO )=0.008mol ・L -1・s -1C.v (H 2O )=0.003mol ・L -1・s -1D.v (NH 3)=0.004mol ・L -1・s -19.反应A+3B==2C+2D 在四种不同情况下的反应速率分别为:①v (A)=0.15mol·L -1·s -1 ②v (B)=0.6mol·L -1·s -1③v (C)=0.4mol·L -1·s -1 ④v (D)=0.45mol·L -1·s -1。
该反应进行的快慢顺序为( )。
A .②>④>③>①B .④>③=②>①C .①=②=③=④D .无法判断10.将4molA 气体和2molB 气体在2L 容器中混合并在一定条件下发生下列反应:2A (g) + B(g) 2C(g) 若2秒钟后测得C 的浓度为0.6mol.L -1,则下列说法正确的是:( )A. 用物质A 表示的反应平均速率为0.3mol.L -1.S -1B. 用物质B 表示的反应平均速率为0.6mol.L -1.S -1C. 2秒钟时,物质A 的转化率为70%D. 2秒钟时,物质B 的浓度为0. 7mol.L -111.在一定条件下,可逆反应:N 2(g)+3H 2(g) 2NH 3(g),△H<0,达到平衡时,当单独改变下列条件后,有关叙述错误的是( )A .加催化剂V 正、V 逆都发生变化且变化的倍数相等B .加压,V 正、V 逆都增大,且V 正增大倍数大于V 逆增大倍数C .降温,V 正、V 逆都减小,且V 正减小倍数小于V 逆减小倍数D .加入氩气,V 正、V 逆都增大,且V 正增大倍数大于V 逆增大倍数12.把0.6molX 气体的0.4molY 气体混合于2L 容器中,使它们发生如下反应:3X+Y= nZ+2W 。
5min 末生成0.2molW ,若测知以Z 浓度变化表示的平均反应速率为0.01mol/(L ・min ), 则:(1)上述反应中Z 气体的计量数n 的值是多少? (2)上述反应在2min 末时, Y 的转化率是多少?13.在800℃时,可逆反应CO(气)+H 2O(气) CO 2(气)+H 2(气)达到平衡状态。
已知CO 和H 2O(气)的起始浓度均为0.01mol/L ,H 2的平衡浓度为0.005mol/L 。
此时若再充入H 2O(气)0.02mol/L ,使平衡移动,再达到平衡时,H 2的浓度可能是( )。
A. 0.0025mol/L B.0.0075mol/L C. 0.01mol/L D.0.015mol/L14.可逆反应2NO 22NO + O 2在密闭容器中反应,达到平衡状态的标志是 ①单位时间内生成n mol O 2 的同时生成2n mol NO 2②单位时间内生成n mol O 2的同时,生成2n mol NO③用NO 2 、NO 、O 2的物质的量浓度变化表示的反应速率的比为2∶2∶1的状态④混合气体的颜色不再改变的状态 ⑤混合气体的密度不再改变的状态⑥混合气体的平均相对分子质量不再改变的状态15.下列方法中可以证明A(s)+2B 2(g) 2C 2(g)+D 2(g) 已经达到平衡状态的是___ __。
⑴单位时间内生成了2molC 2的同时也生成了1molA ⑵一个B —B 键的断裂的同时有一个C —C 键的生成⑶反应速率v(B 2)=v(C 2)=2v(D 2) ⑷C(B 2):C(C 2):C(D 2) = 2:2:1⑸温度、体积一定时,B 2、C 2、D 2浓度不再变化 ⑹温度、体积一定时,容器内的压强不再变化⑺条件一定时,混合气体的平均相对分子质量不再变化(8)反应速率v 正(C 2)=2v 逆(D 2) ⑼百分组成 B 2% = C 2% = D 2%(10)温度、体积一定时,混合气体的密度不再变化16.Fe(NO 3)2溶液呈浅绿色,其中存在着下列平衡:Fe 2++2H 2O Fe(OH)2+2H +往该溶液中滴加盐酸,发生的变化是( )(A) 平衡向逆反应方向移动 (B) 平衡向正反应方向移动(C) 溶液由浅绿色变成黄色 (D) Fe 2+物质的量增大 17.在下列可逆反应中,增大压强或降低温度,均可使平衡正向移动的是( )A .2SO 2+O 2 2SO 3(正反应为放热反应)B .4NH 3+5O 2 4NO +6H 2O(g)(正反应为放热反应)C .2NH 3 N 2+3H 2(正反应为吸热反应)D .SO 2+NO 2 SO 3(g)+NO(正反应为放热反应)18.在高温下,反应2HBr (气) H 2+Br 2△H 〉0,达到平衡状态,要使混合气体颜色加深,可采取的方法是( ) A 减小压强 B 缩小体积 C 升高温度 D 增大氢气的浓度19.在一恒容的密闭容器中发生可逆反应:C(s) + H 2O(g) CO(g) + H 2(g)已达到平衡状态。
现欲使平衡向正反应方向移动,且增大V (正),可进行的操作是( ) A.再加入一些C B.移走一部分CO 或H 2 C.充入一些水蒸气 D.移走少量H 2 20.在一定条件下,发生 CO+NO 2 CO 2+NO 的反应,达到化学平衡后,降低温度,混合物的颜色变浅,下列有关该反应的说法中正确的是( )A.正反应为吸热反应B.正反应为放热反应C.降温后CO 的浓度增大D.降温后各物质的浓度不变21.可逆反应 N 2 + 3H 2 2NH 3(正反应为放热反应)达到平衡后,其他条件不变,升高温度,则下列说法正确的是( )A.V 正减小、V 逆增大B.V 正和V 逆均增大C.气体的平均相对分子质量减小D.气体的平均相对分子质量增大22.对已经达到化学平衡的下列反应2X(g) +Y(g) 2Z(g),减小压强时,对反应产生的影响的是 ( ) A 、逆反应速率增大,正反应速率减小,平衡逆向移动B 、逆反应速率减小,正反应速率增大,平衡正向移动C 、正、逆反应速率都减小,平衡逆向移动D 、正、逆反应速率都增大,平衡正向移动 23.有一处于平衡状态的反应:X(S)+3Y(g) 2Z(g) ,△H<0。
为了使平衡向生成Z 的方向移动,应选择的条件是 ( )①高温 ②低温 ③高压 ④低压 ⑤加正催化剂 ⑥分离出ZA 、①③⑤B 、②③⑤C 、②③⑥D 、②④⑥ 24.通入一定量的CO 和H 2O(g),在850℃时发生如下反应:CO(g)+H 2O(g) CO 2(g)+H 2(g)ΔH<0 。
CO 和H 2O(g)浓度变化如下图所示:(1)则0~4 minCO 的平均反应速率v(CO)=________mol/(L·min)(2)850℃时,平衡常数K=________。
(3)850℃时,若向该容器中充入1.0molCO 、3.0molH 2O,则CO 的平衡转化率为________。
(4)下列可以判断该反应达到化学平衡状态的是A.C(CO 2)=C(H 2)B.反应容器内的压强不发生变化C.混合气体中H 2(g)的浓度不发生变化 D .H 2的生成速率等于H 2O 的消耗速率 (5)若在850℃时向容器中充入H 2O(g),平衡向 反应方向移动,K 值 (填“增大”、“减小”或“不变”)25.在一定体积的密闭容器中,进行如下化学反应:CO 2(g )+H 2(g)CO (g )+H 2O (g ),其化学平衡常数 K 和温度 t 的关系如下表: 回答下列问题:(1)该反应的化学平衡常数表达式为 K = 。
(2)该反应为 反应(选填吸热、放热)。
(3)能判断该反应是否达到化学平衡状态的依据是 。
(a )容器中压强不变 (b )混合气体中 c (CO )不变 (c )v 正(H 2)= v 逆(H 2O ) (d )c (CO 2)= c (CO )(4)某温度下,平衡浓度符合下式:c (CO 2)·c (H 2)= c (CO )·c (H 2O ),试判断此时的温度为 ℃26.高炉炼铁中发生的基本反应之一如下:FeO(s)+CO(g) Fe(s)+CO 2(g)(正反应为吸热反应),其平衡常数表达式可表示为 。