篇一：2010年四川高考数学(理科)试题含答案
2010年普通高等学校招生全国统一考试（四川卷）
数学（理工农医类）
本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。第Ⅰ卷1至2页，第Ⅱ卷3至1 0 页．满分150分。考试时间120分钟。考试结束后，将本试卷和答题卡一并交回.第Ⅰ卷
注意事项：
1．答第1卷前，考生务必将自己的姓名、准考证号、考试科目涂写在答题卡上. 2．每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑．如需改动，用橡皮擦干净后，再选涂其他答案标号．不能答在试卷上．
3。本试卷共1 2小题，每小题5分，共60分．在每小题给出的四个选项中，只有一项是符合题目要求的。
参考公式：
如果事件A、B互斥，那么球的表面积公式 P(A+B) =P(A)+P(B) s?4?R2
如果事件A、B相互独立，那么 其中R表示球的半径 P(A·B)=P(A)·P(B)球的体积公式 如果事件A在一次试验中发生的概率是p，那么 v?
43
?R
2
在n次独立重复试验中事件A恰好发生k次的概率 其中R表示球的半径
Pn(k)?Cnp(1?p)
k
k
n?k
(k?0,1,2,...n)
一、选择题：
（1）i是虚数单位，计算i＋i2＋i3＝
（A）－1 （B）1（C）?i （D）i 解析：由复数性质知：i2＝－1 故i＋i2＋i3＝i＋(－1)＋(－i)＝－1
答案：A
（2）下列四个图像所表示的函数，在点x?0处连续的是
（A） （B）（C）（D） 解析：由图象及函数连续的性质知，D正确. 答案：D
（3）2log510＋log50.25＝
（A）0 （B）1（C） 2（D）4
解析：2log510＋log50.25
＝log5100＋log50.25
＝log525
＝2 答案：C
（4）函数f(x)＝x2＋mx＋1的图像关于直线x＝1对称的充要条件是
（A）m??2 （B）m?2（C）m??1 （D）m?1 解析：函数f(x)＝x2＋mx＋1的对称轴为x＝－ 于是－答案：A
????2????????????????
（5）设点M是线段BC的中点，点A在直线BC外，BC?16,?AB?AC???AB?AC??则
??????AM??
m2
m2
＝1 ? m＝－2
（A）8 （B）4（C） 2（D）1
????2
解析：由BC＝16，得|BC|＝4
????????????????????
?AB?AC???AB?AC???BC?＝4
?????????????而?AB?AC????AM? ?????
故?AM??2
答案：C
（6）将函数y?sinx的图像上所有的点向右平行移动
?
10
个单位长度，再把所得各点的横坐
标伸长到原来的2倍（纵坐标不变），所得图像的函数解析式是
??
（A）y?sin(2x?) （B）y?sin(2x?)
105
（C）y?sin(
12
x?
?
10
) （D）y?sin(
12
x?
?
20
)
解析：将函数y?sinx的图像上所有的点向右平行移动式为y＝sin(x－
?
10
?
10
个单位长度，所得函数图象的解析
)
再把所得各点的横坐标伸长到原来(转载自：www.dXf5.cOm 东星资源网:2010四川高考成绩查询)的2倍（纵坐标不变），所得图像的函数解析式是
y?sin(
12x?
?
10
).
答案：C
（7）某加工厂用某原料由甲车间加工出A产品，由乙车间加工出B产品.甲车间加工一箱原料需耗费工时10小时可加工出7千克A产品，每千克A产品获利40元，乙车间加工一箱原料需耗费工时6小时可加工出4千克B产品，每千克B产品获利50元.甲、乙两车间每天共
能完成至多70箱原料的加工，每天甲、乙两车间耗费工时总和不得超过480小时，甲、乙两车间每天总获利最大的生产计划为
（A）甲车间加工原料10箱，乙车间加工原料60箱
（B）甲车间加工原料15箱，乙车间加工原料55箱
（C）甲车间加工原料18箱，乙车间加工原料50箱 （D）甲车间加工原料40箱，乙车间加工原料30箱 解析：设甲车间加工原料x箱，乙车间加工原料y箱 ?x?y?70?
则?10x?6y?480?x,y?N?
目标函数z＝280x＋300y
结合图象可得：当x＝15,y＝55时z最大
本题也可以将答案逐项代入检验. 答案：B
（8）已知数列?an?的首项a1?0，其前n项的和为Sn，且Sn?1?2Sn?a1，则lim
12
anSn
n??
?
（A）0 （B）（C） 1（D）2
解析：由Sn?1?2Sn?a1,且Sn?2?2Sn?1?a1
作差得an＋2＝2an＋1
又S2＝2S1＋a1，即a2＋a1＝2a1＋a1 ? a2＝2a1
故{an}是公比为2的等比数列
Sn＝a1＋2a1＋22a1＋??＋2n－1a1＝(2n－1)a1 则lim答案：B
anSn
?lim
2
nn?1
a1
n??n??
(2?1)a1
?
12
（9）椭圆
xa
22
?
yb
22
?1(a?b??)的右焦点F，其右准线与x轴的交点为A，在椭圆上存在点
P满足线段AP的垂直平分线过点F，则椭圆离心率的取值范围是
0（A
）??
??
?
?1?
??2?
（B）?0,
?
?
1??2?
（C）
1,1?
（D）?
解析：由题意，椭圆上存在点P，使得线段AP的垂直平分线过点F， 即F点到P点与A点的距离相等
而|FA|＝
a
2
c
?c?
b
2
c
|PF|∈[a－c,a＋c] 于是
b
2
c
∈[a－c,a＋c]
即ac－c2≤b2≤ac＋c2
222
??ac?c?a?c∴?
222??a?c?ac?c
?c
?1??a??
?c??1或c?1?a2?a
又e∈(0,1) 故e∈?
?1?
??2?
答案：D
（10）由1、2、3、4、5、6组成没有重复数字且1、3都不与5相邻的六位偶数的个数是 （A）72 （B）96（C） 108（D）144
解析：先选一个偶数字排个位，有3种选法
22
①若5在十位或十万位，则1、3有三个位置可排，3A3A2＝24个
②若5排在百位、千位或万位，则1、3只有两个位置可排，共3A2A2＝12个 算上个位偶数字的排法，共计3(24＋12)＝108个 答案：C
（11）半径为R的球O的直径AB垂直于平面?，垂足为B?BCD是平面?内边长为R的正三角形，线段AC、AD与球面交于点M，N，那么M、N两点间的球面距离是 （A）Rarccos
1
22
1725
（B）Rarccos
415
1825
（C）?R （D）
3
?R
解析：由已知，AB＝2R,BC＝R,故tan∠BAC＝
5
12
cos∠BAC
＝
连结OM，则△OAM为等腰三角形 AM＝2AOcos∠BAC
5
R，同理AN
5
，且MN∥CD
而AC
,CD＝R 故MN：CD＝AN:AC
? MN＝
45
R，
连结OM、ON，有OM＝ON＝R 于是cos∠MON＝
OM
2
?ON?MN
22
2OM?ON
?
1725
1725
所以M、N两点间的球面距离是Rarccos答案：A
（12）设a?b?c?0，则2a2?
1ab?
1
a(a?b)
?10ac?25c的最小值是
2
（A）2 （B）4 （C）
（D）5 解析：2a2?
1ab?
1a(a?b)
?10ac?25c
2
＝(a?5c)2?a2?ab?ab?
1ab
?
1a(a?b)
1a(a?b)
＝(a?5c)2?ab?≥0＋2＋2＝4
1ab
?a(a?b)?
当且仅当a－5c＝0,ab＝1,a(a－b)＝1时等号成立 如取a
b
＝答案：B
2
,c
＝
5
满足条件.
篇二：2010四川高考英语试题及答案
2010四川高考英语试题
一、 单选：
1. —Here’s your change.
—A. Thank you. B. Don’t mention it. C. No problem D. With pleasure.
A. the; a B. the; 不填C.不填; 不填 D.不填; a
3. — I take the book out?
—I'm afraid not.
A. Will B. May C. MustD. Need
4. A great number of students A. to question B. to be questioned C. questioned D. questioning a big tree.
A. inB. below C. beside D. against
6. Some people eat with their eyes. They prefer to order what A. looks B. smells C. feels D. tastes
7.when I was a baby.
A. himB. his C. meD. mine
8．Jenny was looking for a seat when，luckily，and left．
A．took up B．got upC．shut upD．set up
9．We laugh at jokes，about how they work．
A．we think B．think weC．we do think D．do we think
10．After graduating from college，I took some time off to go travelling，turned out to be a wise decision．
A．that B．whichC．when D．where
11．In many people’s opinion，that company，though relatively small，．
A．to deal with B．dealing with C．to be dealt with D．dealt with
12．
A．smallB．few C．1arge D．many
13．一I’m sorry．That wasn’t of much help．
一Oh，．As a matter of fact，it was most helpful．
A．sure it was B．it doesn’t matter C．of course not D．thanks anyway
14．he goes with，whether his friends or relatives．
A．whatB．who C．how D．why
15．Such poets as widely read，of whose works，however，difficult to understand．
A．are；are B．is；is C．are；is D．is：are
16．一When shall we restart our business?
一our plan．
A．will finish B．are finishing C．are to finishD．have finished
17．The lawyer listened with full attention，．
A．not trying B．trying not C．to try not D．not to try
18．You’ve failed to do what youto and I’m afraid the teacher will blame you．
A．will expect B．will be expected C．expectedD．were expected
19．If you have a job，yourself to it and finally you’ll succeed．
A．do devoteB．don't devote C．devotingD．not devoting
20．Because of the heavy traffic， she got to her office．
A．sinceB．that C．when D．until
二、完形填空(共20小题；每小题l 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。
Recently，I flew to Las Vegas to attend a meeting. As we were about to arrive，the pilot announcedbefore setting down. High desert winds had the airport to close all but one runway. He said that we would beWe there might be a few bumps (颠簸)．We11，that few minutes turned into about four—five minutes，including a ride that would make a roller coaster (过山车by comparison
The movement was so fierce that several passengers felt and had to use airsickness bags. As you might guess，that’s not good thing to have happen in a(n)to increase the discomfort of the situation.
About twenty minutes into the adventure， noticed．Every passenger simply held on for dear life …except one. A咯咯的笑)of delight As I observed this，I 34 that he didn’t know he was supposed to be afraid and worried about his —ups have the ride because had not yet been taught to fear it. Having understood this，I took a deep breath and back into my seat，pretending I was on a roller coaster. I smiled for the to giggle once or twice ,much to the chagrin(随恼)of the man sitting next to me holding the airsickness bag.
21. A. mistake B. delayC. change D. wind
22. A. forcedB. warned C. sweptD. reminded
23. A. watching B. visiting C. circlingD. crossing
24. A. arriveB. enter C. stop D. land
25. A. if B. though C. because D. while
26. A. light B. pale C. easy D. quick
27. A. sick B. nervous C. angryD. afraid
28. A. empty B. narrow C. secret D. open
29. A. happens B. continues C. fails D. serves
30. A. quiet B. hot C. dirtyD. crowded
31. A. partly B. gradually C. shortly D. clearly
32. A. pilot B. baby C. guard D. man
33. A. seatsB. passengers C. flight D. airplane
34. A. realizedB. hoped C. agreedD. insisted
35. A. healthB. safety C. joy D. future
36. A. teachers B. books C. experience D. practice
37. A. learning B. taking C. missing D. enjoying
38. A. sat B. layC. went D. rode
39. A. nearly B. finally C. really D. suddenly
40. A. attempted B. managed C. wanted D. decided
三、阅读理解(共两节，满分50分)
第一节 阅读下列短文，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。(共20小题；每小题2分，满分40分)
A
I grew up in a house where the TV was seldom turned on and with one wall in my bedroom entirely lined with bookshelves, most of my childhood was spent on books I could get hold of. In fact, I grew up thinking of reading as natural as breathing and books unbelievably powerful in shaping perspectives (观点) by creating worlds we could step into, take part. in. and live in.
With this unshakable belief, I, at. fourteen, decided to become a writer. Here too, reading became useful. Every writer starts off knowing that he has something to say, but being unable to find the right ways to say it. He has to find his own by reading widely and discovering which parts of the writers he agrees or disagrees with, or agrees with so strongly that it reshapes his own world. He cannot write without loving to read, because only through reading other people’s writing can one discover what works, what doesn’t and, in the end, together with lots of practice, what voice he has.
Now I am in college, and have come to realize how important it is to read fiction (文学作品)．As a. law student, my reading is in fact limited to subject matter—the volume (量) of what I have to read for classes every week means there is little time to read anything else. Such reading made it all the clearer to me that I live in a very small part in this great place called life. Reading fiction reminds me that there is life beyond my own. It allows me to travel across the high seas and along the Silk Road, all from the comfort of my own armchair, to experience, though secondhand, exciting experiences that I wouldn't necessarily be able to have in my lifetime.
41. What can be inferred about the author as a child?
A. He never watched TV. B. He read what he had to.
C. He found reading unbelievable. D. He considered reading part of his life.
42. The underlined word "voice" in the second paragraph most probably means “”.
A. an ideaB. a sound quality
C. a way of writingD. a world to write about
43. What effect does reading have on the author?
A. It helps him to realize his dream.B. It opens up a wider world for him.
C. It makes his college life more interesting. D. It increases his interest in worldwide travel.
44. Which of the following can be the best title of this text?
A. Why do I read? B. How do I read?
C. What do I read? D. When do I read?
B
Boiler rooms are often dirty and steamy, but this one is clean and cool. Fox Point is a very new47-unit living building in South Bronx, one of the city’s poorest areas. Two-thirds of the people living there are formerly (以前) homeless people, whose rent is paid by the government. The rest are low-income families. The boiler room has special equipment, which produces energy for electricity and heat. It reuses heat that would otherwise be lost to the air, reducing carbon emissions(碳排放)while also cutting costs.
Fox Point is operated by Palladia, a group that specializes in providing housing and services to needy, people. Palladia received support from Enterprise Community Partners (ECP), which helps build affordable housing by providing support to housing developers.
ECP has created national standards for healthy, environmentally (环境方面) clever and affordable homes which are called, the Green Communities Standards. These standards include water keeping, energy saving and the use of environmentally friendly building materials. Meeting the standards increases housing construction costs by 2%, which is rapidly paid back by lower running costs. Even the positioning of a window to get most daylight can help save energy.
Michael. Bloomberg, New York's mayor, plans to create 165,000 affordable housing units for500,000 New Yorkers. Almost 80% of New York City’s greenhouse-gas emissions come from buildings, and 40% of those are caused, by housing. So he recently announced that the city’s Department of Housing and Preservation and Development (DHPD) , whose duty is to develop and keep the city’s supply of affordable housing, will require all its new projects to follow ECP’s green standards.
Similar measures have been taken by other cities such as Cleveland and Denver, but New York’s DHPD is the largest city developer of affordable housing in the country.
45. What is the purpose of describing the boiler room in the first paragraph?
A. To explain the measures the city takes to care for poor people.
B. To suggest that affordable housing is possible in all areas.
C. To show how the environment-friendly building works.
D. To compare old and new boiler rooms.
46. What is an advantage of the buildings meeting the Green Communities Standards?
A. Lower running costs. B. Costing less in construction.
C. Less air to be lost in hot days. D. Better prices for homeless people.
47. It can be learned from the text that,
A. New York City is seriously polluted
B. people’s daily life causes many carbon emissions in New York City
C. a great number of people in New York City don't have houses to live in
D. some other cities have developed more affordable housing than New York City
48. What is the main purpose of this text?
A. To call on people to pay more attention to housing problems.
B. To prove that some standards are needed for affordable housing.
C. To ask society to help homeless people and low-income families.
D. To introduce healthy, environmentally clever-and affordable housing.
C
Alex London Research Laboratory (ALRL) is part of Alex Co., Ltd., a major Australian medicine-making company. Opened in 1992, ALRL specialists in the development of new medicines for the treatment of heart diseases．
A position is now open for a Research Operations Manager(ROM) to support our growing research team at the new laboratories in Hatfield，due to open in the autumn of 2010．
Reporting to the Director，you will help set up and run the technical and scientific support services of our new laboratories now under construction．You will be expected to provide expert knowledge about and be in charge of all areas of ALRL’S Health and Safety，and to communicate (沟通)with support employees at ALRL’S laboratories based at University College London．Working closely with scientists and other
operations and technical employees，you will manage a small number of research support employees providing services to help with the research activities to be carried out at the new laboratories．
Candidates(申请人) will have experience of both management and research support／technical services．Knowledge of research operations and excellent communication skills are necessary. Education to degree level is also desirable．
If you are interested in this position，please send your CV(简历)to Alex London Research
Laboratory，University College London，Hatfield，London，W1E 6B7 or by email to ALRL@alex.co.uk． For more Information．please visit www.alex.co.uk．
49．What can be learnt about the new laboratories from the text?
A．They have not yet been set up．
B．They are in Hatfield，Australia．
C．They belong to University College London．
D．They are new workplaces for Australian researchers only．
50．What are the duties of a ROM，according to the text?
A．a，b，c． B．a，b，d． C．b，c，d．D．a，c，d．
51．What does the fourth paragraph mainly talk about?
A．The technical skills of a would—be ROM．
B．The practical experience of a would—be ROM．
C．The personal information of a would—be ROM．
D．The necessary requirements for a would—be ROM．
52．What is the purpose of the text?
A．To describe the job of a ROM．
B．To provide information about ALRL．
C．To announce an open position at ALRL．
D．To make known the opening of the new laboratories．
D
Somali pirates(海盗) robbed three Thai fishing ships with 77 sailors on board nearly l，200 Miles off the Somali coast，the farthest-off-shore attack to date，an officer said Tuesday.
Pirates have gone farther south and east in answer to increased patrols(巡逻)by warships off the Somali shore. The robbing of the three ships Sunday was about 600 miles outside the normal operation area for the international force，said a spokesman．
The spokesman said the attack so far out at sea was a clear sign that the international patrols against pirates were having a “marked effect on pirate activity in the area”．
“Once they start attacking that far out，you’re not even really talking about the Somali basin or areas of water that have any connection with Somalia,” said an officer，Roger Middleton．“Once you’re that far out，it's just the Indian Ocean，and it means you’re looking at trade going from the Gulf to Asia，from Asia to South Africa.”
"This is the farthest robbing to date．They are now operating near the Maldives and India,” said another officer．
The three ships--the MV Prantalay l l，12，and l 4—had 77 members on board in total．All of them are Thai, the spokesman said．Before the Sunday robbing，pirates held l l ships and 228 sailors．
Pirates have increased attacks over the past year in hopes。f catching more dollar payments. Because of increased patrols and defenses on board ships，the success rate(率)has gone down，though the number of
篇三：2010年至2014年各省一本录取率
2013年一本录取率排名
2012各省市区高考报名人数与一本录取率统计表
按考生计一本录取率 按同龄人口估算每万人进入一本人数
2010各省一本录取率和985高校录取率 标 题: 各省一本录取率 省市 考生数 一本录取数 录取率北京 10.03 20175 20.1天津 7.65 15057 19.7上海 8.30 14955 18.0青海 4.00 5070 12.7海南 5.78 6817 11.8浙江 34.85 33600 9.6宁夏 5.80 5483 9.5江苏 54.00 44442 8.2重庆 19.60 14951 7.6黑龙江 23.00 17365 7.6山东 70.00 49684 7.1云南 22.00 15151 6.9陕西 40.50 26799 6.6福建 30.50 19419 6.4湖北 51.95 33069 6.4广东 64.40 40965 6.4贵州 24.00 14147 5.9江西 34.90 20052 5.7安徽 57.30 32424 5.7四川 50.00 25688 5.1广西 30.18 14712 4.9山西 37.10 17810 4.8
湖南 50.70 23155 4.6河北 55.90 2 4637 4.4河南 95.90 33766 3.5 985高校各省录取率 （1）上海5.129%（2）天津4.378%（3）北京4.069%（4）吉林3.814%（5）重庆3.690%（6）辽宁3.527%（7）青海3.458%（8）湖北3.201%（9）海南3.074%（10）浙江2.790%（11）广东2.742%（12）四川2.417%（13）福建2.290%（14）宁夏2.231%（15）黑龙2.216%（16）湖南2.122%（17）江苏1.933%（18）山东1.801%（19）新疆1.700%（20）陕西1.687%（21）甘肃1.646%（22）江西1.437%（23）云南1.418%（24）贵州1.380%（25）广西1.259%（26）河北1.191%（27）内蒙1.177%（28）山西1.168%（29）安徽1.035%（30）河南0.987%（31）西藏0.979%