D. a
5. 函数.的零点所在的区间为
A. (-1,0)
B. (0, 1)
C. (1, 2)
D. (2,3)
6. 如图,在,中,AD=2DB,DE=EC,若,则=
A. B. C. D.
7. 设函数的部分图象如下图所示,则/(力的表达式为
A. B.
C. D.
8. 若函数在区间(0, 1)上单调递增,且方程的根都在区间[-2, 2]上,则实数b的取值范围为
A. [0, 4]
B.
C. [2, 4]
D. [3, 4]
9. 已知定义在R上的奇函数/(X)是上的增函数,旦f(1)=2, f(-2)=-4,设
.若是的充分不必要条件,则实数t的取值范围是
A. B. C. D.
10. 某公司租赁甲、乙两种设备生产A,B两类产品,甲种设备每天能生产A类产品5件和B类产品10件,乙种设备每天能生产A类产品6件和B类产品20件.已知设备甲每天的租赁费为200元,设备乙每天的租赁费为300元,现该公司至少要生产A类产品50件,B类产品140件,所需租赁费最少为
A. .2400元
B. 2300元
C. 2200元
D. .2000元
11. 已知函数则满足不等式.例X的取值范围为
A. (0,3)
B.
C.
D. (-1, 3)
12. 已知定义在R上的函数f(X)满足且当
,则等于
A. B. C. D.
第II卷(非选择题,共90分)
二、填空题:本大题共4小题,每小题4分,共16分.
13. 已知向量a=(2,1),b=(x,-2),若a//b,则x=______
14. 已知偶函数在上是增函数,则n= _______
15. 已知{a n}是递增数列,且对任意的都有恒成立,则角θ的取值范围是_______
16. 设所有可表示为两整数的平方差的整数组成集合M.给出下列命题:
①所有奇数都属于M.
②若偶数2k及属于M,则.
③若,则,,
④把所有不属于M的正整数从小到大依次择成一个数列,则它的前n项和其中正确命题的序号是
_______?(写出所有正确命题的序号)
三、解答题:本大题共6小题,共74分.解答应写出文字说明、说明过程或演算步骤.
17. (本题满分12分)设向量,函数,.
(I)求函数f(x))的最小正周期及对称轴方程;
(I I)当时,求函数f(x)的值域. .
18. (本题满分12分)已知等差数列{a n}的前n项和为S n,公差,且S3+S5=58,a1,a3,a7成等比数列.
(I)求数列{a n}的通项公式;
(I I)若{b n}为等比数列,且记求T10值.
19. (本题满分12分)己知二次函数y=f(x) 的图像过点(1,-4),且不等式f(x)<0的解集是(O, 5).
(I )求函数f(x)的解析式;
(I I)设若函数在[-4,-2]上单调递增,在[-2,0]上单调递减,求y=h(x)在[-3,1]上的最大值和最小值. .
20. (本题满分12分)在中,角A,B,C的对边分别是a,b,c,若
(I)求角C的值:
(II) 若c=2,且,求的面积.
21. (本题满分12分)设数列{a n}的前n项和为S n,且(其中t为常数,且t>0).
(I )求证:数列{a n}为等比数列;
(II )若数列{a n}的公比q= f(t},数列{b n}满足,求数列{b n}的通项公式;
(III) 设’对(II )中的数列{b n},在数列{a n}的任意相邻两项a k与a k+1之间插入k个后,
得到一个新的数列:记此数列为{c n}.求数列{c n}的前2012项之和.
22. (本题满分14分)己知函数在;c=2处的切线斜率为.
(I)求实数a的值及函数f(x)的单调区间;
(II) 设,,对使得成立,求正实数的取值范围;
(III) 证明:?
绵阳市高中2013级第一次诊断性考试
英语
第I卷(选择题,共90分)
第一部分:英语知识运用(共两节,满分40分)
第一节:语法和词汇知识(共10小题;每小题1分,满分10分)
从A,B, C, D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。
1. —?
—Yes, thanks. We've just ordered it.
A. What can I do for you
B. Are you being attended to
C. Would you like to order a meal
D. Do you like ordering a meal
2. — Has Jenny finished her essay?
—I don't know. She __________________ i t this morning.
A. was writing
B. had written
C. wrote
D. has written
3. Who is the man talking to the headmaster?
—A professor ______a visit to our school.
A. pays
B. is paying
C. paid
D. paying
4. They ______have got lost, or had an accident.
A. can
B. might
C. must
D. mustn't
5. — born in Chicago, the author is most famous for his stories about New York City.
A. Unless
B. Since
C. Although
D. Except
6. We talked a lot about things and persons ______we remembered in the school.
A. where
B. who
C. which
D. that
7. — When shall we go to look at the apartment?
—M a k e it ______day you like; it's all the same to me.
A. one
B. any
C. another
D. some
8. The American soldiers ______Iraq kissed their family goodbye and left in a hurry.
A. to be sent to
B. went to
C. sent to
D. are sent to
9. Many workers were organized to clear away ______remained of the World Trade Center.
A. those
B. that
C. what
D. who
10. The time is not far away ______every road in this city will be packed with cars.
A. as
B. when
C. which
D. until
第二节完形填空(共20小题;每小题1.5分,满分30分)
阅读下面短文,从短文后各题所给的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项,
并在答题卡上将该项涂黑。
After getting out of the airport, the security guard pointed me to the next taxi in line. Looking into the car I 11
______ a driver and a passenger. I thought the guy in the passenger seat was probably a 12 ______ driver learning the trade. I threw my 13 ______ in the trunk(行李箱)and held onto my computer bag. As we drove off, I realized that the driver had not 14 ______ the meter(计价器).I told him that I was 15 ______ going to pay the meter rate and he'd better turn it on if he wants to get 16 ______ . The passenger told me that there's no need for the meter because it's a 17 ______ rate. I raised my voice and told them that I'd been to 18 ______ before and if he didn't turn on the meter I would 19 ______ to pay for the ride. The driver 20 ______ turned the meter on. The passenger pulled out a card and 21 ______ to tell me that the rate to Tokyo was 6000 JPR. Having 22 ______ used the same hotel in Tokyo for those eight or nine trips, I knew it's only like 1500 JPR. I started telling him 23
______ that there's no way I'm going to pay 24 ______ and I'm only going to pay 1500 JPR.
We were getting near the toll (收费站)so I rolled down my window. I 25 ______ I could start shouting at the toll collector for 26 ______ . The driver went through the toll quickly, drove on about a quarter mile past the toll, and pulled over to the 27 ______ of the road.
The passenger screamed at me that if I didn't pay, they would 28 ______ me on the side of the road. I 29
______ back that that's fine but he had to get my bag out of the trunk first. The driver 30 ______ the trunk and I finally got out with my bag.
11. A. caught B. noticed C. reached D. hugged
12. A. experienced B. ill-willed C. part-time D. new
13. A. bag B. computer C. clothes D. hat
14. A. turned off B. turned on C. turned up D. turned down
15. A. even B. still C. otherwise D. only
16. A. paid B. fined C. praised D. rewarded
17. A. low B. fixed C. high D. reasonable
18. A. China B. Japan C. Malaysia D. Vietnam
19. A. agree B. hesitate C. delay D. refuse
20. A. immediately B. slowly C. finally D. gladly
21. A. offered B. tried C. pretended D. applied
22. A. always B. seldom C. eventually D. properly
23. A. kindly B. forcefully C. honestly D. secretly
24. A. them B. it C. this D. that
25. A. expected B. feared C. figured D. promised
26. A. help B. information C. price D. receipt
27. A. middle B. side C. right D. left
28. A. kill B. leave C. beat D. comfort
29. A. kicked B. ran C. fought D. screamed
30. A. opened B. closed C. broke D. locked
第二部分阅读理解(共两节;满分50分)
第一节(共20小题;每小题2分,满分40分)
根据短文内容,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑。
A
Jerry was the kind of guy you love to hate. He was always in a good mood and always had something positive to say. Seeing this style really made me curious, so one day I went up to Jerry and asked him, “I don't get it! You can't be a positive person all the time. How do you do it?" Jerry replied, "Each morning I wake up and say to myself,
'Jerry, you have two choices today. You can choose to be in a good mood or you can choose to be in a bad mood.' I choose to be in a good mood."
“Yeah, right, it's not that easy," I protested. "Yes, it is," Jerry said. "Life is all about choices. When you cut away all the junk, every situation is a choice. You choose how you react to situations. You choose how people will affect your mood. You choose to be in a good mood or bad mood. The bottom line: it's your choice how to live life."
Several years later, I heard that Jerry did something you are never supposed to do in a restaurant business: he left the back door open one morning and was held up at gunpoint by three armed robbers. While trying to open the safe, the robbers panicked and shot him. Luckily, Jerry was found immediately and sent to the local hospital. After 18 hours of surgery and weeks of intensive care, Jerry was released from the hospital with fragments of the bullets still in his body.
I saw Jerry about six months after the accident. When I asked him about the incident, he replied, "Wanna see my scars?" I declined to see his wounds, but did ask him what had gone through his mind as the robbery took place. "The first thing that came into my mind was that I should have locked the back door," Jerry replied." Then as I lay on the floor, I remembered that I had two choices: I could choose to live, or choose to die. I choose to live.
Jerry lived thanks to the skill of his doctors, but also because of his amazing attitude. I learned from him that every day we have the choice to live fully. Attitude, after all, is everything.
31. Which of the following can best describe Jerry?
A. Kind-hearted.
B. Responsible.
C. Optimistic.
D. Careless.
32. What does the underlined phrase "cut away all the junk" mean?
A. Pick up the junk on the ground regularly.
B. Ignore the unnecessary parts of something.
C. Choose to be in a good mood.
D. Never be affected by others.
33. Which of the following is true about the robbery?
A. Jerry's house was broken into by six robbers one morning.
B. Jerry tried his best to fight with the six robbers.
C. Jerry lost his consciousness for weeks.
D. Jerry received an immediate operation after the robbery.
34. Which of the following could be the best title?
A. The choice of life.
B. Attitude is everything.
C. How to live fully.
D. An unexpected robbery.
B
New mothers who read and write blogs (博客)may feel less alone than mothers who do not participate(参与)in a blogging community, according to family studies researchers. "It looks like blogging might be helping these women because they may begin to feel more connected to their extended family and friends, which leads them to feel more supported," said Brandon T. McDaniel, graduate student in human development and family studies at Penn State.
McDaniel and colleagues from Brigham Young University surveyed 157 new mothers about their media use and. their happiness. The moms were all first-time parents with only one child under the age of 18 months ~ most much younger than this. The researchers report in the online version of Maternal and Child Health Journal that blogging had a positive impact (影响)on new mothers, but social networking — mainly Facebook and MySpace -- did not seem to impact them.
"We're not saying that those who end up feeling more supported all of a sudden no longer have stresses, they're still going to have those stressful moments you have as a parent," said McDaniel. "But because they're feeling more supported, their thoughts and their feelings about that stress might change, and they begin to feel less stressed about those things."
McDaniel pointed out several potential benefits for new mothers who blog, including giving moms both a way to connect with family and friends who do not live nearby and an outlet to use and show their hobbies and accomplishments, particularly for stay-at-home moms.
Because this is one of the first studies to look at the effects of participation in online communities on new mothers, McDaniel noted that there is not enough information collected yet to determine how or why blogging and social networking have markedly different impacts on new moms. However, this study demonstrated that mothers who blogged frequently show stronger connections to their family and friends. That possibility is going to have some other profound influences on them, including their relationship with their husband, the ways that they're feeling about their parenting stress, and eventually into their levels of depression.
35. What does the underline part "these women" in paragraph 1 refer to?
A. Mothers who read and write blogs.
B. Mothers who do not participate in a blogging community.
C. New mothers who read and write blogs.
D. New mothers who like using Facebook.
36. Which of the following people might have been surveyed?
A. Kate, who is a mother of a 6-year-old boy.
B. Betty, who is going to be a mother.
C. Joe, who is a mother of a 5-month-old boy and a 2-year-old girl.
D. Susan, who is a mother of a 6-month-old boy.
37. Which of the following is true about blogging according to the passage?
A. Stay-at-home moms benefit more from Blogging.
B. Blogging and social networking share the same effect on new mothers.
C. New mothers who blog are completely free of stresses.
D. Blogging provides new mothers with a good place to show their baby photos.
38. What can be concluded from this study?
A. Men play an important role in bringing up their children.
B. Modern technology does more harm than good to mothers.
C. It's important for mothers to feel connected and supported in life.
D. Mothers of more children feel less stressed than those with only one child.
C
The smart job-seeker needs to rid themselves of several standard myths about interviewing before they start looking for a job. What follows is a list of some of these untruths and some tips to help you do your best at your next interview.
Myth 1: The aim of interviewing is to obtain a job offer.
Only half true. The real aim of an interview is to obtain the job you want. That often means reject job offers you don't want! Unskilled job-seekers, however, become so used to accommodating employers' expectations that they often easily qualify for jobs they don't want. So before you hand in your resignation, be sure you want the new one.
Myth 2: Try to control the interview.
Nobody controls an interview, neither you nor the interviewer, although one or both parties often try. When somebody tries to control us, we hate it. When we try to control somebody, he makes us feel uncomfortable. Remember, you can't control what an employer thinks of you, just as he can't control what you think of him. So hang loose when interviewing, or you may give people the impression that you are not believable.
Myth 3: ______ ______
Another silly myth. If you don't disagree at times, you become, in effect ,a “yes’,woman. Don't be afraid to disagree with your interviewer in an agreeable way. And don't hesitate to change your mind. The worst that could happen would be that the interviewer says to himself, "There is a person with an open mind!” The convention al wisdom says "be yourself,,true enough. But how many people can be themselves if they don't feel free to
disagree?
Click here to get more silly myths and useful suggestions.
39. What is this passage trying to tell us?
A. Some accepted advice about interviewing is actually not true.
B. Interviews don't help people to get the jobs they really want.
C. "yes" women are more likely to get good jobs.
D. It's silly to take an interview too seriously.
40. W hich of the following might be Myth 3?
A. Always please the interviewer.
B. Show gratitude to your interviewer.
C. Never interrupt the interviewer.
D. Don't disagree with the interviewer.
41. In the writer's opinion, a job-seeker should ______.
A. be what he himself is
B. be flexible to choose a job
C. be polite and agree with your interviewer
D. be what the interviewer wants him to be
42. Where can the passage most likely be found?'
A. In the newspaper.
B. In the textbook.
C. On the website.
D. In the magazine.
D
Global food prices have jumped up by 10% in the month of July, raising fears of soaring prices for the planet's poorest, the World Bank has warned. The price of key grains such as corn, wheat and soybean saw the most dramatic increases. From June to July this year, corn and wheat prices each rose by 25% while soybean prices increased by 17%, the World Bank said. Only rice prices decreased by 4%.
The bank said that a US heatwave and drought in parts of Eastern Europe were partly to blame for the rising costs. In the United States, the most severe, widespread drought in half a century has resulted in decreasing production on the corn and soybean crops while in Russia, Ukraine and Kazakhstan, wheat crops have been badly damaged.
Overall, the World Bank's Food Price Index, which tracks the price of internationally traded food commodities, was six percent higher than in July of last year, and one percent over its previous peak, in February 2011.
World Bank President Jim Yong Kim said countries in North and Sub-Saharan Africa and the Middle East were among those most exposed to such price increases because much of their food was imported and food bills make up a large proportion(比例)of average household spending. Already, the bank said, maize prices had increased by 113% over the past quarter in Mozambique, while sorghum had risen 220% in South Sudan.
The bank also mentioned that there were other potential risks which could push grain prices higher. These included exporters pursuing panic policies, a severe El
Nino, disappointing Southern hemisphere crops and strong increases in energy prices.
The G20 group of leading economies has said it will not take any decision on joint action until the US agriculture department's September estimate of this year's harvest. But aid charity Oxfam said it was not acceptable for governments to delay acting on food prices until the situation had been worse.
43. The underlined word "soaring" most probably means “______".
A. achieving
B. dropping
C. increasing
D. failing
44. Which of the following statements about food prices is true?
A. The prices of corn, wheat and rice rose dramatically.
B. The rising food prices largely resulted from natural disasters.
C. Soybean prices rose 8% more than wheat prices.
D. Eastern Europe are responsible for the increasing prices of corn.
45. Why were countries in North and Sub-Saharan Africa and the Middle East affected by the rising food price most?
A. People in those places consume more grain.
B. The average household spending is low.
C. People there eat more wheat than rice.
D. Those places rely more on imported food.
46. What can you infer from the passage?
A. Food Price Index in July is the highest one since February 2011.
B. Grain production in Europe was influenced more than that in the USA.
C. The rising food prices is likely to increase energy prices.
D. The G20 group and Oxfam will join together to solve the problem.
E
When she graduated with an electrical engineering degree from Texas Tech in 1965,Le Earl Ann Bryant was only the third women to graduate in "E.E" from her school. "It was very unusual for women to major in engineering back then," she says. "The year I graduated, there were only 350 women with E.E degrees in the entire country."
But brick walls were the name of the game after graduation, when Le Earl Ann went job-hunting. "I wanted to be a designer [an engineering designer creates computer systems, circuit boards, and son on]. At one interview I was told, 'Women don't do design work.' I was also told, 'We can't hire you. You would have to carry test equipment, and our company rules state that women can't carry more than 25 or 30 pounds.
Eventually she was hired to be a designer for Collins Radio Company in Dallas, Texas, where she worked for ten years. "One of the great things about an engineering career is that you can do all kinds of things ---I've worked in design, sales, marketing, project management, and business planning." Le Earl Ann's career has also taken her to Washington, D.C. where she completed a one-year fellowship with Texas Congressman Pete Green. "It was fun. I learned a lot about the political process,"
"Electrical engineering is more open now," notes Le Earl Ann. "In the 1970s, the women's movement put pressure on companies to hire more women. Today, about 18 percent of America's engineers are women.
If you want to be an engineer, Le Earl Arm suggests taking "as much math and science as you can get, with at least an introductory calculus course." She also suggests studying foreign languages. "The economy is becoming more global, and it gives you a chance for world travel while you work."
47. From the 1st paragraph we know that ______.
A. women couldn't do as well as men in electrical engineering
B. very few women chose to study electrical engineering then
C. Le Earl Ann was one of the top students in her class
D. the class size in Le Earl Ann's college was unusually small
48. Many companies didn't want women designers mainly because ______.
A. there were too few women designers at that time
B. women are often too weak to carry heavy things around
C. they didn't believe women can make good electrical engineers
D. the government didn't allow them to hire women designers
49. How did Le Earl Ann find her career in Collins Radio Company?
A. She enjoyed it and tried a variety of tasks.
B. It turned out to be too much for a woman.
C. She found it hard to work with men colleagues.
D. She wasn't given any chance to do design work.
50. From the last two paragraphs we can conclude that ______.
A. women are better at engineering than men
B. math and science are especially hard for women
C. it is not easy to become a woman engineer
D. most electrical engineers speak several languages
第二节(共5小题,每小题2分,满分10分)
根据对话内容,从对话后的选项中填出能填入空白处的最佳选项,并在答题卡上将该项涂黑。选项中有两项多余选项。M: Any messages, Miss Grey?
W: 51 ______You had a telephone call from someone called Brown."David Brown.
M: Brown? I don't know anyone called Brown.52 ______
W: He wouldn't say. 53 ______I told him you'd phone him as soon as you got back.
M: 54 ______ Er".you've got his phone number, haven't you?
W: Yes, it's 633201. M: 622301. W: No, 633201.
M: Oh, you'd better write it down, Miss Grey. 55 ______
W: I already have done, Mr Banks. It's on your desk.
第II
卷(非
选择题,共60分)
第三部分:写(共三节,满分60分)
第一节阅读表达(共5小题;每小题2分,满分10分)
阅读下面短文并回答问题,然后将答案写到答题卡相应的位置上(请注意问题后的词数要求)。
Angola, officially the Republic of Angola, is a country in Southern Africa bordered by Namibia on the south, the Democratic Republic of the Congo on the north, and Zambia on the east; its west coast is on the Atlantic Ocean with Luanda as its capital city. The exclave province of Cabinda has borders with the Republic of the Congo and the Democratic Republic of the Congo.
The Portuguese were present in some-mostly coastal-points of the territory of what is now Angola, from the 16th to the 19th century, interacting in diverse ways with the peoples that lived there. In the 19th century they slowly and hesitantly began to establish themselves in the interior. Angola as a Portuguese colony encompassing the present territory was not established before the end of the 19th century ,and "effective occupation", as required by the Berlin Conference (1884) was achieved only by the 1920s. Independence was achieved in 1975, after a protracted liberation
war. After independence, Angola was the scene of an intense civil war from 1975 to 2002. The country has vast
mineral and petroleum reserves, and its economy has on average grown at a two-digit pace since the 1990s,especially since the end of the civil war. In spite of this, standards of living remain low for the majority of the population, and life expectancy and infant mortality rates in Angola are among the worst-ranked in the world. Angola is considered to be economically disparate, with the majority of the nation's wealth concentrated in a disproportionately small sector of the population.
Angola is a member state of the African Union, the Community of Portuguese Language Countries, the Latin Union and the Southern African Development Community.
56. What's the official name of this country?(no more than 4 words)
57. Who once ruled it before it got its independence?( no more than 2 words)
58. When did it get its independence? (no more than 2 words)
59. What happened after its independence? (no more than 5 words)
60. H ow is the economic condition of most of the people there? (no more than 1 word)
第二节短文改错(共10小题;每小题1.5分,满分15分)
假定英语课上老师要求同桌之间交换修改作文,请你修改你问果与的以飞作文。文中共有10处语言错误,每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。
增加:在缺词处加一个漏字符号(A ),并在其下面写出该加的词。
删除:把多余的词用斜线〔\〕划棹。
修改:在错的词下划一横线,并在该词下面写出修改后的词。
注意:1.每处错误及其修改均仅限一词;
2.只允许修改10处,多者(从第11处起)不计分。
例如:
Dear Anish,
Here are the information about Manchester University. It is about 200 miles away from London and it has the very big schoolyard. You can live in the school or near the school. They have all sorts of course. I'm sure you will find one you like it. I know you are particularly interesting in human rights. So I will see that there is anything on their website. I will send my friend Charlie meet you at the airport when you arrived. You met him a few years ago, but he had changed a lot since then. Both your aunt or I look forward to seeing you again.
第三节:书面表达(满分35分)