B .
C .
D .
6. 设数列{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=( ) A .2 B . C .﹣2
D .﹣
7. 袋中共有15个除了颜色外完全相同的球,其中有10个白球,5个红球.从袋中任取2个球,所取的2个球中恰有1个白球,1个红球的概率为( ) A .
B .
C .
D .1
8. 已知A ,B ,C 点在球O 的球面上,∠BAC=90°,AB=AC=2.球心O 到平面ABC 的距离为1,则球O 的表面积为( )
A .12π
B .16π
C .36π
D .20π
9. 已知2017ln f x x x =+()(),0'2018f x =(
),则0x =( ) A. 2
e
B.1
C. ln 2
D. e
二、填空题(每小题4分,共32分) 10. 设向量
,
,且
,则m= .
11.设tanα,tanβ是方程x2﹣3x+2=0的两个根,则tan(α+β)的值为.
12. 已知A、B为双曲线E的左右顶点,点M在E上,△ABM为等腰三角形,且顶角为120°,则E的离心率为.
13. 已知函数f(x)=,则f(f())= .
14. 在的展开式中x7的项的系数是.
15. 我国第一艘航母“辽宁舰”在某次舰载机起降飞行训练中,有5架“歼﹣15”飞机准备着舰,如果甲、乙两机必须相邻着舰,而丙、丁两机不能相邻着舰,那么不同的着舰方法数是_______。
16. 在极坐标系中,直线ρcosθ﹣ρsinθ﹣1=0与圆ρ=2cosθ交于A,B两点,则|AB|=_______.
17. 已知n为正偶数,用数学归纳法证明时,若已假设n=k(k≥2,
k为偶数)时命题为真,则还需要用归纳假设再证n=时等式成立.
三、解答题(共7小题,共82分,解答题应写出文字说明、演算步骤或证明过程)
18.(本小题8分)对任意实数x,不等式﹣9<
2
2
36
1
x px
x x
+-
-+
<6恒成立,求实数p的取值范围。
19.(本小题12分)
20、(12分)已知数列{a n}中,a1=1,二次函数f(x)=a n?x2+(2﹣n﹣a n+1)?x的对称轴为x=.
(1)试证明{2n a n}是等差数列,并求{a n}通项公式;
(2)设{a n}的前n项和为S n,试求使得S n<3成立的n值,并说明理由.
21、(10分)已知5只动物中有1只患有某种疾病,需要通过化验血液来确定患病的动物.血液化验结果呈阳性的即为患病动物,呈阴性即没患病.下面是两种化验方法:
方案甲:逐个化验,直到能确定患病动物为止.
方案乙:先任取3只,将它们的血液混在一起化验.若结果呈阳性则表明患病动物为这3只中的1只,然后再逐个化验,直到能确定患病动物为止;若结果呈阴性则在另外2只中任取1只化验.
(Ⅰ)求依方案甲所需化验次数不少于依方案乙所需化验次数的概率;
(Ⅱ)ξ表示依方案乙所需化验次数,求ξ的期望.
22、(12分)已知函数f(x)=ax+bsinx,当时,f(x)取得极小值.
(1)求a,b的值;
(2)设直线l:y=g(x),曲线S:y=f(x).若直线l与曲线S同时满足下列两个条件:
①直线l与曲线S相切且至少有两个切点;
②对任意x∈R都有g(x)≥f(x).则称直线l为曲线S的“上夹线”.试证明:直线l:y=x+2为曲线S:y=ax+bsinx“上夹线”.
23、(14分)已知圆M:x2+(y﹣4)2=4,点P是直线l:x﹣2y=0上的一动点,过点P作圆M的切线PA,PB,切点为A,B.
(1)当切线PA的长度为时,求点P的坐标;
(2)若△PAM的外接圆为圆N,试问:当P在直线l上运动时,圆N是否过定点?若存在,求出所有的定点的坐标;若不存在,说明理由.
(3)求线段AB长度的最小值.
24、(14分)如图,在四棱柱ABCD﹣A1B1C1D1中,侧棱AA1⊥底面ABCD,AB⊥AC,AB=1,AC=AA1=2,AD=CD=
,且点M和N分别为B1C和D1D的中点.
(Ⅰ)求证:MN∥平面ABCD
(Ⅱ)求二面角D1﹣AC﹣B1的正弦值;
(Ⅲ)设E为棱A1B1上的点,若直线NE和平面ABCD所成角的正弦值为,求线段A1E的长.
2017年士兵高中军考英语真题
一、选择填空(共15分,每小题1分)
1. —We could invite John and Barbara to the Friday night party. —Yes, ____ ? I ’ll give them a call right now. A.why not B. what for C. why D. what
2. Try ____ she might, Sue couldn ’t get the door open. A. if B. when C. since D. as
3. Planning so far ahead ____ no sense-so many things will have changed by next year. A. made B. is making C. makes D. has made
4. I wasn ’t sure if he was really interested or if he ____ polite. A. was just being B. will just be C. had just been D. would just be
5. The lawyer rarely wears anything other than jeans and a T-shirt ____ the season. A. whatever B. wherever C. whenever D. however
6. I like getting up very early in summer. The morning air is so good ____. A. to be breathed B. to breathe C. breathing D. being breathed
7. —Have you known Dr. Jackson for a long time? —Yes, since she ____ the Chinese Society. A.has joined B. joins C. had joined D. joined
8. We all know that, ____, the situation will get worse. A. not if dealt carefully with B. if not carefully dealt with C. if dealt not carefully with D. not if carefully dealt with
9. I smell something ____ in the kitchen. Can I call you back in a minute? A. burning B. burnt C. being burnt D. to be burnt 10. Does this meal cost $50? I ____ something far better than this! A. prefer B. expect C. suggest D. suppose 11. The prize will go to the writer ____ story shows the most imagination. A. that
B. which
C. whose
D. what 12. They ____ have arrived at lunchtime but their flight was delayed. A. will B. can C. must D. should 13. It is generally accepted that ____ boy must learn to stand up and fight like ____man. A. a; a B. a; the C. the; the D. a; /
14. It is important to pay your electricity bill on time, as late payments may affect your ____. A. condition B. income C. credit D. status 15. —It was a wonderful trip. So, which city did you like better, Paris or Rome? —____. There were good things and bad things about them. A. It ’s hard to say B. I didn ’t get it C. You must be kidding D. Couldn ’t be better 二、阅读理解(共40分,每小题2分)
Passage 1
How can you remember a song from your childhood to this day? Why do your teachers use songs to teach you English? It seems there is a scientific reason for this.
Researchers are now studying the relationship between music and remembering a foreign language. They find that remembering words in a song is the best way to remember even the most difficult language.
“Singing could be a new wa y of learning a foreign language. The brain likes to remember things when they are used in a catchy and meaningful way”, said Dr, Karen Ludke. The findings may help those who have difficulties learning foreign languages. On his blog, Dr. Ludke writes, “A l isten-and-repeat singing method can support foreign language learning, and opens the door for future research in this area.”
Many language teachers know the value of using music and singing. Hua Zhuying, a teacher at a Chinese language school in Washington, D.C. depends heavily on songs in teaching Chinese. She says, “I use music all the time to teach children Chinese. For little kids usually we use the music. Not only does it work, but it is fun for kids.”
“Sometimes, I think if I were taught English that way, maybe I could speak much better English than now,” Hua Zhuying adds.
Our brain likes music, especially for remembering. So, if you’re still struggling in learning a language, why not try singing it out ?
16. According to the passage, the best way to remember a foreign language is to .
A. listen to the teacher carefully
B. copy the words many times.
C. remember words in a song
D. read and write more
17.The underlined word “catchy”probably means “____”
A.infamous
B. boring
C. impressive
D.emotional
18.Dr. Ludke believes that foreign language learning can be supported by .
A. writing songs with the language
B. listening to all kinds of famous music
C. using the listen-and-repeat singing method
D. reading the lyrics again and again
19.From the passage, we know that Hua Zhuying .
A. is interested in writing English songs
B. teaches Chinese in an American school
C. teaches children English by using music
D. is a researcher in a language school
20.The passage mainly tells us that .
A. many researchers realize the importance of language studying
B. many language teachers know the value of famous music
C. your brain remembers a language better if you sing it.
D. you will never learn a language well unless you can sing
Passage 2
Mass media are tools of communication. Mass media can be divided into two groups: print media and electronic media. By print media, we mean books, newspapers and magazines. Electronic media include television, computer, radio and movie. Mass media allow us to record and pass information rapidly to a large, scattered audience. They extend our ability to talk to each other by helping us overcome barriers caused by time and space.
There are various ways in which mass media make daily life easier for us. Firstly, they inform and help us keep a watch on our world. They gather and pass on information we would be unlikely or unable to obtain on their own.
Secondly, mass media help us to arrange our time and life. What we talk about and what we think about are greatly influenced by the media. When people get together, they tend to talk about certain happenings in newspapers or on TV. Because we are exposed to different points of view through different kinds of media every day, we are able to evaluate all
sides of a certain issue.
Thirdly, the media are used to persuade people. A good example is advertisements through the media. Newspapers, magazines and TV are filled with all kinds of colorful, persuasive advertisements. Though many advertisements may not say openly that they want you to buy a certain product, they describe their products in such a way that you may want to buy them.
Fourthly, the media also entertain. All of the media make efforts to try to entertain their audience. For instance, even though the newspaper is a prime medium of information, it also contains entertainment features. Television, motion pictures, fiction books and some radio stations and magazines are devoted mainly to entertainment. It is estimated that in the future, the entertainment function of mass media will become even more important than it is now.
21. What makes it possible for people living in different places to communicate with each other?
A. Printed media
B. Mass media
C. Electronic media
D. Computers
22. Which of the following functions of mass media is Not mentioned?
A. To make people well informed about the world
B. To amuse and entertain people
C. To help people arrange their time and life
D. To give people a sense of honor
23. Certain matters in newspapers or on TV tend to be talked about when people get together because ____.
A. people are curious about them
B. people are influenced by those mass media
C. it is fashionable for people to do so
D. it is easy for people to communicate in this way
24. How does advertisement make people purchase certain goods according to the passage?
A. By giving an attractive account of the goods.
B. By asking people to buy them.
C. By forcing people to buy them.
D. By giving people something extra.
25. Which of the following media is mainly devoted to information according to the passage?
A. TV
B. Magazines
C. Motion Pictures
D. Newspapers
Passage 3
When international aid is given, steps must be taken to ensure (确保)that the aid reaches the people for whom it is intended. The way to achieve this may not be simple. It is very difficult for a nation to give help directly to people in another nation. The United Nations Organization (UNO) could undertake to direct the distribution of aid. Here however rises the problem of costs. Also tied with this is time. Perhaps the UNO could set up a body of devoted men and women in every country who can speedily distribute aid to victims of floods and earthquakes.
More than the help that one nation can give to another during a disaster; it would be more effective to give other forms of help during normal times. A common proverb says, “Give me a fish and I eat for day, teach me to fish and I eat for a lifetime.”If we follow this wise saying, it would be right to teach people from less developed nations to take care of themselves. For example, a country could share its technology with another. This could be in simple areas like agriculture or in more complex areas like medical and health care or even in building satellites. Even small country is able to help less developed nations. Sometimes what is take for granted, like the setting up of a water purification plant or the administration of a school, could be useful for countries which are looking about to solve common problems. It does not cost much to share such simple things. Exchange students could be attached for a number of months or years and learn the required craft while on the site. They can then take their knowledge back to their homelands and if necessary come back from time to time to clear doubts or to update themselves. Such aid will be truly helpful and there is no chance of it being temporary or of it falling into the wrong hands.
Many countries run extensive courses in all sorts of skills. It will not cost much to include deserving foreigners in these courses. Besides giving effective help to the countries concerned, there is also the build-up of friendships to consider. Giving direct help by giving materials may be effective in the short run and must continue to be given in the event of
emergencies. However, in the long run what is really effective would be the sharing of knowledge.
26. According to the author, how could international aid reach the victims in time?
A. By solving the cost problems
B. By solving the transportation problems
C. By relying on the direct distribution of the UNO.
D. By setting up a body of devoted people in every country.
27. What does the author try to express in the underlined sentence?
A. Providing food is vital . Learning to fish is helpful
C. Teaching skills is essential
D. Looking after others is important.
28. The second paragraph is developed mainly ____.
A.by contrast
B.by process
C.by comparison
D.by example
29. Which aid is likely to fall into the wrong hands?
A. A medical team.
B. An exchange program.
C. Financial support.
D. A water plant.
30. What can we infer about international aid from the passage?
A. It is facing difficulties
B. It is unnecessary during normal times
C. It should be given in the form of materials
D. It has gained support from developed countries
Passage 4
Human needs seem endless. When a hungry man gets a meal, he begins to think about an overcoat; when a manager gets a new sports car, a big house and pleasure boats dance into view.
The many needs of mankind might be made up of several levels. When there is money enough to satisfy one level of needs, another level appears.
The first and most basic level of needs involves food. Once this level is satisfied, the second level of needs, clothing and some sort of shelter, appears. By the end of World WarⅡ, these needs were satisfied for a great majority of Americans. Then a third level appeared. It included such items as automobiles and new houses.
By 1957 or 1958 this third level of needs was fairly well satisfied. Then, in the late 1950s, a fourth level of needs appeared: the “life-enriching” level. While the other levels involve physical satisfaction, that is, the feed in comfort, safety, and transportation, this level stresses mental needs for recognition, achievement, and happiness. It includes a variety of goods and services, many of which could be called “luxury” items. Among them are vacation trips, the best medical and dental care, and recreation. Also included here are fancy goods and the latest fashions.
On the fourth level, a lot of money is spent on services, while on the first three levels more is spent on goods. Will consumers raise their sights to a fifth level of needs as their income increases, or will they continue to demand luxuries and personal services on the fourth level?
A fifth level would probably involve needs that can be achieved best by community action. Consumers may be spending more on taxes to pay for government action against disease, ignorance, crime, and prejudice. After filling our stomachs, our clothes closets, our garages, our teeth and our minds, we now may seek to ensure the health, safety, and
C. had the good things on the first three levels
D. did not own automobiles
33. Which of the following is NOT related to "physical satisfaction"?
A. A successful career.
B. A comfortable home.
C. A good meal.
D. A family car.
34. What is the main concern of man on the fourth level?
A. The more goods, the better.
B. The more mental satisfaction, the better.
C. The more "luxury" items, the better.
D. The more earnings, the better.
35. The author tends to think that the fifth level .
A.would be little better than the fourth level
B.may be a lot more desirable than the first four
C.may ask consumers to spend less on taxes
D.would be attainable before the government takes actions
三、完形填空(共15分,每小题1分)
new travel experiences.
Eco-tourism has many benefits. First, all the money spent by the tourists is used to protect the important environmental
environment for the future generations.
36. A. finally B. usually C. suddenly D. roughly
37. A. pleasure B. satisfaction C. popularity D. freedom
38. A. approving B. confirming C. enriching D. supporting
39. A. respectful B. aware C. uncertain D. independent
40. A. rich B. curious C. lazy D. normal
41. A. use B. recycle C. copy D. restrict
42. A. challenging B. disappointing C. positive D. risky
43. A. success B. adventure C. tool D. symbol
44. A. polite B. sincere C. doubtful D. grateful
45. A. mines B. factories C. schools D. hotels
46. A. ban B. result C. decline D. appearance
47. A. close B. safe C. friendly D. active
48. A. influences B. examines C. balances D. improves
49. A. environment B. law C. economy D. hosts
50. A. But for B. According to C. In spite of D. In addition to
四、翻译(共20分,汉译英每小题3分,英译汉每小题2分)
51.每个人都能做与他体力和脑力相适应的工作。
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
52.我们认为每个孩子都需要父母的全新照料。
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
53.在你生命中,如果有一个人你需要对他说对不起,那就去向他道歉吧。
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
54.这个游戏的独特之处在于它让孩子们学会如何应对现实生活中的问题。
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
55.In a few years, the mini-plane will be within the reach of the average families.
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
56.Taiwan has been part of China since ancient times.
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
57.What he said sounded reasonable, but we wondered if he had really told the truth.
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
58.The president promised tha t he would be committed to improving people’s living standard.
___________________________________________________________________________________________________ ___________________________________________________________________________________________________
五、书面写作(共10分)
59.假定你是李华,自制了一些中国结(Chinese knot)。给开网店的美国朋友Tom 写封信,请他代卖,要点包括:(1)外观(尺寸、颜色、材料);
(2)象征意义;
(3)价格。
注意:1.不少于100词;
2.可以适当增加细节,以使行文连贯
3.开头语已为你写好。
Dear Tom,
How are you doing?___________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________
Yours,
Li Hua
2017年士兵高中军考综合真题
本试卷分政治、物理、化学三部分,考试时间150分钟,满分为200分。
第一部分政治
一、单项选择(每小题2分,共30分)
1.党的十八届六中全会号召,全党同志紧密团结在以习近平同志为的党中央周围,牢固树立、大局意识、核心意识、看齐意识。
A.总书记政治意识
B.核心问题意识
C.核心政治意识
D.总书记问题意识
2. 2016年8月20日,中国女排在郎平的率领下夺得冠军。中国女排精神是一种积极向上、永不言败、团结奋进的人生态度。这种态度曾经在改革开放初期激励人们“”,现在仍将继续激励我们不忘初心、为实现中华民族伟大复兴的中国梦砥砺前行。
A.世界杯团结超来、振兴中华
B.奥运会团结起来、振兴中华
C.世界杯团结一致向前看
D.奥运会团结一致向前看
3.2016年9月4日至5日,二十国集团领导人第十一次峰会在杭州举行,峰会的主题是。
A.促进经济增长和创造就业岗位
B.构建创新、活力、联动、包容的世界经济
C.共同行动以实现包容和稳健增长
D.经济增长、就业互抗风险
4. 2017年3月31日,国务院总理李克强主持召开国务院第七次全体会议,决定任命为香港特别行政区第五任行政长官,于2017年7月1日就职。
A.曾俊华
B.林郑月娥
C.胡国兴
D.粱振英
5.三年多来,“一带一路”建设取得了超出预期的进度和成果。以下说法正确的是。
①以共商、共建、共享为原则
②以和平合作、开放包容、互学互鉴、互利共赢的丝绸之路精神为指引
③以打造命运共同体和利益共同体为合作目标
④深化了中国对外开放理念,扩大了中国在世界的影响力
A.①②③④
B.①②③
C.②③④
D.①③④
6.发展社会主义经济'要兼顾效率与公平。下列选项中,体现再分配调节,实现社会公平的措施是。
A.加强国有企业高管薪酬管理
B.提高城乡居民最低生活保障标准
C.建立科技入股、岗位分红权激励办法
D.增加货币的发行量、实施适度宽松的货币政策
7.随着网络发展,网络监督日益成为一种反应伙、影响大、参与面广的新兴舆论监督方式。“网络反腐”是。
A.推进廉政建设的制度保障
B.运用新兴技术促进廉政建设
C.依靠公民权力监督公共权利
D.反腐的主要形式
8.歌剧《木兰诗篇》是我国艺术家创作的一部优秀作品。该剧吸纳欧洲歌剧艺术的表现手段,融入中国戏剧的表演形式,讴歌了伟大的民族精神,在国内外获得高度评价。这表明
A.不同民族文化的融合是文化发展的关键
B.不同民族文化的竞争促进了文化的融合
C.不同艺术形式的融合有助于文化发展
D.不同民族文化没有优劣之分
9.一个男人在社会上可能扮演父亲、儿子、学生、老师、管理者、被管理者等不同的角色。这种现象从哲学上反映了。
A.联系的主观性
B.联系的多样性
C.联系的历史性
D.联系的偶然性
10.下列既体现唯物辩证法联系的观点,又体现唯物辩证法发展的观点的是。
①邯郸学步②吐故纳新③青出于蓝而胜于蓝④唇亡齿寒
A.①②
B.②③
C.③④
D.①④