四川省绵阳市2013届高三第二次诊断性考试英语试题

四川省德阳市2013届高三第二次诊断性考试四川省德阳市2013届高三第二次诊断考试语文试题第卷（30分）一、（12分，每小题3分）1.下列词语中加点的字，读音全部正确的一项是()A.藤蔓（mn）倾轧（y）拾级而上（sh）余勇可贾（g）B.刹那（sh）浸渍（z）畏葸不前(x)舐犊情深(sh)C.粗糙(co)清晰(x)虚与委蛇(wi)汗流浃背(ji)D.秘鲁（m)纤维(xin)气喘吁吁(chui) 蓦然回首(m)答案：C(A.蔓：应为wn；B.刹：应为ch；D.秘：应为b，喘：应为chun)2.下列词语中,字形全部正确的一项是()A.蜇居掂量和事佬直截了当B.气概安详闭门羹恰如其分C.国籍冒然影碟机淋漓尽致D.揣摹弦律稻粱谋变本加厉答案：B（A.蜇——蛰；C.冒——贸；D.摹——摩，弦——旋。

）3.下列句子中加点熟语使用正确的一项是()A．近日，有市民报料称，鹭江地铁站A出口处，公共自行车网点内自行车的坐垫全都不胫而走。

由此看来，加强公民的思想道德教育刻不容缓。

B．李嘉诚14岁便辍学挑起家庭重担，高级职称与他无缘。

但经过他双手辛勤打下的商业帝国，恐怕只能使任何具有高级职称的人望其项背。

C．针对日方炒作我军舰火控雷达锁定日舰机一事，我国军事专家分析说，为避免遭到突然袭击，打开搜索雷达和导弹火控雷达，从应对威胁的角度来说，我方进行瞄准锁定是无可非议的。

D．去年底，美国总统奥巴马对华政策突然为强硬，不顾中国多次反对，挑战中国人民的核心利益，向台湾出售尖端武器，美国政府在对华政策上的危言危行，只能使中美关系陷入僵局。

答案：C（A.不胫而走：为没有腿却能跑。

比喻事物无需推行，就已迅速地传播开去。

不翼而飞：一般指（东西）突然不见了，也可指言论、消息、诗文等不待宣传就迅速传播开了；B．望其项背：可以赶上。

只用否定形式。

不少人用只能望其项背表示赶不上；D危言危行：危，正直；说正直的话,做正直的事；指正直的言行；褒贬色彩不当。

2013年高三第二次诊断性测验参考答案及评分标准生物一、单项选择：（每小题2分，共40分）题号 1 2 3 4 5 6 7 8 9 10答案 C C B B B C A D C D题号11 12 13 14 15 16 17 18 19 20答案 A B A B D D A A D A二、非选择题（除注明外，每空1分，共60分）（一）必考题（共45分）21．（7分）（1）④与蛋白质的加工运输以及脂质合成有关（2）自由扩散胞吞胞吐（3）选择透过性（4）靶22.（10分）逐渐被光合作用消耗 146（1）叶绿体基质容器中CO2（2）①光照强度、温度酶的活性下降 18（或g） h②mdef或mf③对照组（或对照实验）④将此装置遮光（或遮光并将缓冲液换成NaOH溶液）每隔一定时间记录刻度数据。

23．（11分）（1）圆眼眼型（2）BbX A Y BbX A X a（3）1／6 1／8（4）BBX A X A或BBX A X a（各1分）①纯合的圆眼长翅雄果蝇与纯合的棒眼长翅雌果蝇（或基因型为BBX A Y与BBX a X a的个体）②若子代中有雌果蝇，则基因型为BBX A X A的个体不能正常发育成活（1分）；若子代中无雌果蝇，则基因型为BBX A X a的个体不能正常发育成活（1分）24．（8分）(1) 促甲状腺激素神经递质(2)主动运输增殖分化产生更多的浆细胞和记忆细胞对水分的重吸收(3)静息内低于25.（9分）（1）太阳能化学能生物群落（2）挺水植物起遮光作用，影响浮游藻类进行光合作用次生（3）核酸高（4）有机物充分分解无机盐充分吸收（二）选考题26.（15分）（1）酵母菌18~25℃（2）酒精度色素（3）消毒灭菌菌种（4）1/3 重铬酸钾（5）空气保证有氧环境醋酸乙醇乙醛醋酸27.（15分）(1)蛋白质工程基因(2)逆转录A—T PCR(3) 标记基因显微注射(4)筛选X(5) 透明带反应卵细胞膜反应桑椹胚分化内细胞团胎盘Friday, March 22, 2013。

2021届四川省绵阳市高三上学期英语第二次诊断性考试试题本试卷分为试题卷和答题卡两部分，其中试题卷共12页；答题卡共2页。

满分15。

分，考试时间120分钟。

注意事项：1.2B铅笔将考号准确填涂在“考号”栏目内。

2.选择题使用2B铅笔填涂在答题卡对应题目标号的位置上，如需改动，用橡皮擦擦干净后再选涂其它答案；非选择题用05毫米黑色签字笔书写在答题卡的对应框内，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。

3.考试结束后将答题卡收回。

第二部分阅读理解（共两节；满分40分）第一节（共15小题；每小题2分，满分30分）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。

并在答题卡上将该选项涂黑。

ASoothing, softening, award-winning lip care - just in time for that bite in the air Natural Choice Full of organic ingredients, this lip stick is packaged plastic-free in a handy tin. It uses organic herbs that are great for comforting skin and lips. What's not to love about this tin of care?“A protective and healing stick for lips" JULIET, Yorkshire.Makes SensePackaged in a clever plastic-free tube, this lip stick wins our Eco Champion award. It is long-lasting and perfect for sensitive or sore skin. Effective!“Looks lovely, and works!” ANDREA, London.Moisture MiracleWeleda's lip stick got top marks given by customers and was considered 'truly comforting', which earnsit the Readers' Choice award. This product is lightly perfumed with essential oils. The tube is recyclable.“This is skin food! It smells heavenly. My lips felt treated" HOLLY, Hertfordshire.Lipid for LipsA vegan-friendly butter with a minty （薄荷）scent that comes in an easy-to-use tin. It's plastic-free and handmade in small batches （量）in Scotland with natural, 85 • per cent organic ingredients.“Fresh, comforting, light and long-lasting“ ESTHER, Oxford shire.Shea's a WinnerThis stick is made from natural, organic ingredients. It can cure your sore skin in one day- and this gorgeous product protects you with subtle minty scent.“I adore this product and its natural scent" NIKKI, 'Psychologies' Partnerships Director.21. What do Makes Sense and Moisture Miracle have in common?A. They cost the same.B. They have won awards.C. They use essential oils.D. They are good for sore lips.22. What is special about Lipid for Lips?A. It smells heavenly with mint.B. It is made from organic ingredients.C. It is handmade in small quantities.D. It has discounts if you buy in batches.23. Which of the following will a budget-conscious customer buy?A. Makes Sense.B. Natural Choice.C. Moisture Miracle.D. Shea's a Winner.BHow does a brilliant teacher get that way? The question of how they developed has as many answers as there are inspired instructors. One example is an original and magnetic woman who has become one of best ever at taking disadvantaged students to a new level.Jackson was born in Altoona. Her father was a construction worker. When she was in the eighth grade, her father died just before Christmas. Her principal, Mrs. Brown, said not to worry about schoolwork for awhile. That upset her. Her father would not have wanted her to do anything but her best. He always said: "Don't let your first failure be the reason for your next."Jackson was an accomplished shooting guard in basketball and a star sprinter on the track team, running the quarter — mile in 57 seconds. She thought she might become a sports broadcaster. She gave no thought to teaching until a friend took her to an introduction to a program, which placed novice instructors in schools full of low-income children. Jackson liked the idea of giving back, as well as the chance to have some of her student loans forgiven.She is a big sports person, and that is how she connects with lots of kids. She couldn't motivate children until she knew what was bothering or pleasing them. “Students learn from people who love them/5 she said, “They will be motivated and in spired to learn if they know deep down that you care about them." In class she gave basketball tickets to students who were doing their work. At weekly drawings they could win sticky notes, pencils or other small prizes.She helped create after-school clubs. A tall student said to her: 'I'm a bailer. I heard you ball." There was a basketball league in Paterson, but the school didn't have a team. Jackson started one with support from local business executives. The student, Essence Carson, went to Rutgers University, was a first-round draft （运动员选拔机制）selection for the WNBA's New York Liberty and now plays for the Connecticut Sun.24. Why did Mrs. Brown's words upset Jackson?A. Her father just passed away.B. She was taught to do her best.C. Her first failure led to another one.D. She was concerned about her grades.25. What is the main idea of Paragraph 3?A. The way Jackson turned teacher.B. The dream job Jackson desired.C. The student loans Jackson owed.D. The athletics Jackson did well in.26. Why did Jackson give small prizes to her students in class?A. To connect with them.B. To please or bother them.C. To encourage them to learn.D. To show her love to them.27. What can we infer from the last paragraph?A. Jackson founded a school team in Paterson alone.B. Jackson played in the basketball league in Paterson.C. Jackson selected Essence to play for WNBA's New York Liberty.D. Jackson should take some credit for Essence's professional career.CHave you ever noticed that the stars sometimes appear brighter in December, January and February? There's a link between cold air and the night lights. "Part of it is that it tends to be drier in the winter," said Diane Tumshek, an astronomer at Carnegie Mellon University in Pittsburgh, Pennsylvania. Even though it's invisible, moisture （湿度）can change the way light moves through the air. And in the summer, moisture can make stars appear more dull.Air temperature is also what puts the twinkle twinkle in the little stars. "Even on very clear nights, some of the atmosphere is cooler, and some of the atmosphere is warmer,, said Tumshek, who also works with the Allegheny Observatory （阿利根尼天文台）.And when the light from a star passes through those bubbles of varying temperatures, "it bends and shifts the light, so that we are seeing stars appear to dance or twinkle,“ she said.For star lovers in the United States, there's another factor that comes into play for bright winter stars, although this is a matter of coincidence. During Earth's journey around the sun, “ther e are just simply more bright stars visible from the Northern Hemisphere in the winter sky," Tumshek said. If you really want to see a shiny star, just try to find a burning ball of gas called Sirius near the horizon. At 8.6 light-years away, Sirius is relatively close to Earth and the brightest star visible in the night sky. It is also large — nearly twice as big as our sun and 20 times as bright. So this winter, when the world turns cold and it seems like we should be spending more time indoors, consider asking an adult to go exploring outside. With a warm coat and a clear sky, any night can be turned into a treasure hunt. All you have to do is look up.28. What does the underlined word "dull" in Paragraph 1 probably mean?A. not shinyB. not excitingC. not severeD. not smart 29, How does air temperature influence the brightness of stars?A. By changing the bubbles around them.B. By putting the twinkle twinkle in them.C. By varying the direction of the light from them.D. By making the stars dance and twinkle in the sky.30. What do we know about Sirius?A. It can be found at any night.B. It is 20 times as bright as the sun.C. It is a burning and shiny ball.D. It is closer to Earth than other stars,31. What is the author's purpose in writing the text?A. To advocate stargazing in winter,B. To call on people to focus on stars.C. To present new research results about stars.D. To explain why stars are more visible in winter.DGoing through social media can quickly convince you that everyone's life is more interesting than yours. During a particularly adventurous week on Instagram some months ago, I saw waterskiing in Maui, and swimming with wild pigs in the Bahamas. Wild pigs! I started googling flights to new places, imagining adventures. Then I ordered food from the place I eat at every week and ... felt bad about not trying somewhere new.Recent research about repeat and novel experiences suggests that we ought to reconsider those negative feelings associated with repetition. Ed O'Brien, a professor at the University of Chicago, launched a series of studies on this topic, “There's a genera! belief that if you want to seem like an interesting, cultured person, the best thing you can do is to showcase that you're open to new experiences," he says. "That may be true, but I think we take for granted the value of really digging deep into one field.”To test this hypothesis （假设），O'Brien and his team exposed all participants to the same stimulus （刺激），including museum visits, movies, and video games. Next, some people were asked to imagine repeating the experience, while others actually didrepeat what they had done. The researchers found that on the whole, participants said that repeating experiences was often far more enjoyable than they had predicted.There is joy in repetition partly because every human mind wanders. Consequently, we miss a good part of every experience. Repeating things can really be seen as another opportunity to actually experiencesomething fully. O'Brien's studies show that people are too quick to assume that they've 'seen all the layers' even in those cases where they haven't. It's safe to assume there are more explorable layers in any experience. When we're noticing new things in any experience, our brain becomes engaged. All we need to do is approach whatever task is at hand by searching for the things that we didn't see in it the first time around.32. Why does the author mention his experiences in Paragraph 1?A. To introduce the bad feelings linked to repetition.B. To show novel experiences are more interesting.C. To tell us a common belief about social media.D. To present to us his new, imagined adventures.33. What did O'Brien's studies find?A. People were open to new experiences.B. Imagination was exciting on the whole.C. Repeating experiences made one bored.D. Digging deep into one field was enjoyable.34, How can we keep our brain engaged?A. By assuming we didn't see all at first.B. By searching for the ignored elements.C. By approaching whatever task is at hand.D. By keeping focused on every experience.35. What is the best title for this passage?A. Novel Experiences Enrich UsB. More Layers Keep the Mind BusyC. Repetition Makes People HappyD. Wandering Minds Help One Explore第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

四川省广元市2013届高三第二次诊断性考试数学试题（文）本试卷分试题卷和答题卷两部分，试题满分150分，考试时间120分钟。

考试结束后，将答题卷和答题卡一并交回． 注意事项：1．答题前．考生务必将自己的姓名、准考证号、考试科．日用铅笔潦写在答题卡上． 2．第I 卷每小题选出答案后，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，不能答在试题卷上．3．选择题共10小题，每小题5分，共50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，第I 卷一、选择题1．已知集合M {|(1)(2)0},{|||1}x x x N x x =++<=<，则A ．N M ≠∈B ．M N ≠∈C ．M=ND ．φ=N M2．如图，矩形ABCD 中，点E 是CD 边的中点，若在矩形ABCD内部随机取一点Q ，则点Q 取自△ABE 内部的概率为A ．14B ．13C ．12D ．233．复数212ii +-的共轭复数是A ．35i -B ．35iC ．i -D ．i4．一个空间几何体的主视图和左视图都是边长为l 的正方形，俯视图是一个 直径为1的圆，那么这个几何体的表面积为 A ．3π B ．2πC ．32πD ．4π5．命题“若p 则q”的逆命题是 A ．若q 则pB ．若p q ⌝⌝则C ．若q p ⌝⌝则D ．若p 则q ⌝6．已知函数()33()33xxxxf xg x --=+=-与的定义域均为R ，则A ．f （x ）与g （x ）均为偶函数B ．f （x ）为奇函数，g （x ）为偶函数C ．f （x ）与g （x ）均为奇函数D ．f （x ）为偶函数，g （x ）为奇函数7．执行如图所示的程序框图，则输出的S 的值是 A ．4 B ．32C ．23D ．-18．将函数y=sm2x 的图像向左平移4π个单位，再向上 平移1个单位，所得图像的解析式为 A ．y=cos2x B ．y=2cos 2x c ．y=l+sin （2x+4π） D ．y=2sin 2x 9．若直线12:20(0):30l x y m m l x ny -+=>+-=与直线之间的距离是5，则m+n= A ．0 B ．1 C ．-1 D ．210．一组数据共有7个数，记得其中有10，2，5，2，4，2，还有一个数没记清，但知道这组数据的平均数、中位数、众数依次成等差数列，则这个数的所有可能值的和为 A ．-11 B ．17 C ．3 D ．9第II 卷二、填空题．每小题5分，共25分．请将答案直接填茌答题卷上 11．函数2()12log f x x =-的定义域 。

保密★启用前【考试时间：2013年1月27日上午9：00?11：30】 绵阳市高中2010级第二次诊断性考试 理科综合化学部分 理科综合共300分，包括物理、化学、生物三部分，考试时间共150分钟。

化学试卷分为第I卷（选择题）和第II卷两部分，共4页，满分100分。

注意事项： 1. 答题前，考生务必将自己的姓名、班级、考号用0.5毫米的黑色墨水签字笔填写在答 题卡上。

并检查条形码粘贴是否正确。

2. 选择题使用2B铅笔填涂在答题卡对应题目标号的位置上；非选择题用0.5毫米黑色 墨水签字笔书写在答题卡的对应框内，超出答题区域书写的答案无效；在草稿纸、试题卷上 答题无效。

3. 考试结束后，将答题卡收回。

可能用到的相对原子质量H 1 C 12 N 14 O 16 Cr 52 Fe 56 第I卷（选择题共42分） 选择题（共7小题，每小题6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. 隆冬季节，雾霾天气增多造成一些城市空气重度污染，其中的污染物不包括A. PM2.5B. NO2C. SO2D. CO2 2. 苯胺是染料工业的重要原料，因其毒性强，在环境中对苯胺类化合物应严格控制排放。

下 列关于苯胺（C6H5NH2)A.碳原子和氮原子均采取Sp2杂化B.分子中既有键又有 键C.能发生加成反应和取代反应D.既能与盐酸反应，又能被氧化 3. 用NA表示阿伏加德罗常数的值，下列说法中正确的是 A. 的NH4NO3溶液中氮原子数小于0.2NA B. 某温度时，1LpH=6的纯水中含有1.0X10-6NA个OH- C. 在O2参加的反应中，1mol O2作氧化剂时得到的电子数一定是4NA D. 向含有0.4mol FeBr2的溶液中通入0.3 mol Cl2,充分反应时转移的电子数为1.2NA 4. “天宫一号”使用镍氢电池供电。

镍氢电池的负极材料为储氢合金（用—表示，氢以单原子填入合金晶格)，总反应为，下列说法正确的是 A. 电池充电时氢原子被氧化 B. 电池放电时正极为NiOOH C. 电池充电时，与电源负极相连的电极反应为： D. 电池放电时，负极反应为： 5. 过碳酸钠（）在生产和生活领域应用广泛，其制备反应为：。

绵阳市高中2010级第三次诊断性考试英语本试卷分第I卷（选择题）和第II卷(非选择題)两部分，共12页，答題卡2页，满分150分，考试时间120分钟。

注意事项：1. 答题前，考生务必将自己的学校、班级.姓名.考号用0.5毫米的黑色签字笔填写在答题卡上，并检查条形码粘贴是否正确。

2. 选择题(1-55)使用2B铅笔填涂在答题卡对应題目标号的位置上.非选择题用0.5 毫米黑色签字笔书写在答题卡的对应题框内，超出答题区域书写的答案无效；在草稿纸，试题卷上答题无效。

3. 考试结束以后，将答题卡收回。

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 . Those who have _____good knowledge of something don’t necessarily teach knowledge well.A. a; theB. a; /C. the; theD. the; a2. If he had listened to his doctor, he out of hospital now.A. would have beenB. would beC. isD. will be3. Try to be friends with your children, _____you will really know what they are thinking about.A. soB. orC. andD. but4. _____in her favorite skirt, she seemed to be more confident.A. Having dressedB. Being dressedC. DressingD. Dressed5. Hey. John! I _____that you were invited to this party too.A. didn’t knowB. I don’t knowC. wasn’t knowingD. hadn’t known6. There is no doubt _____those working hard can pass the exam easily.A. whetherB. ifC. thatD. what7. These articles are written in simple language, _____makes it easy to read.A, which B. this C, it D. that8. 一Have you seen the movie U NDER THE H AWTHORN T REE'?—Yes, of course. It was in our village it was made.A. thatB. whereC. when I), which9. _____ difficulty you may face, we will always fight along with youA. WhatB. Whatever C, However D, How10. — You know what? I am going to Shanghai on a free trip this weekend.-- _____A. Good for you!B. It is none of my business.C. You must have been cheated.D. So what?第二节完形填空（并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。

2022绵阳二诊英语听力原文《2022年绵阳市普通高中第二次诊断性考试英语听力原文及详细解析》。

一、听力原文。

Text 1.M: Hi, Jane. I heard you went to the beach last weekend. How was it?W: It was great. The weather was perfect, and the beach was beautiful.I just relaxed and enjoyed the sun.M: That sounds nice. What did you do there?W: I went swimming in the sea and built a sandcastle with some kids. It was a lot of fun.Text 2.M: Excuse me, ma'am. I'm looking for a book about history. Can you help me?W: Sure. We have a lot of history books here. What kind of history are you interested in?M: I'm interested in ancient history, especially the history of Rome.W: In that case, I recommend this book. It's called "The History of Ancient Rome". It's very detailed and well-written.M: Thanks. I'll take it.Text 3.W: Hi, Tom. Are you going to the party tonight?M: I'm not sure. I have a lot of homework to do.W: Come on. It'll be a lot of fun. You can relax and forget about your homework for a while.M: Well, maybe I'll go for a little while. But I have to finish my homework first.W: Okay. See you there.Text 4.M: Good morning, madam. Can I help you?W: Yes. I'd like to book a room for two nights.M: Sure. Do you have a preference for a room type?W: I'd like a room with a view of the sea.M: We have some rooms available on the 5th floor with a great view of the sea.W: That sounds great. How much is it per night?M: It's 300 yuan per night.W: Okay. I'll take it.Text 5.W: Hello, Mike. You look tired. What's wrong?M: I didn't sleep well last night. I was preparing for my exam.W: Oh, I see. But you should also take care of your health. You can't study all the time.M: You're right. I'll try to get more sleep tonight.W: Good. And don't forget to have a good breakfast. It'll give you more energy.M: Thanks. I'll remember that.Text 6.M: Hi, Susan. I heard you're going on a trip next week. Where are you going?W: I'm going to Paris. I've always wanted to visit the Eiffel Tower and the Louvre Museum.M: That sounds amazing. How long are you staying there?W: For about a week. I've made a detailed plan. I'll visit the Eiffel Tower on the first day, and then go to the Louvre Museum the next day.M: What else are you going to do?W: I'll also visit Notre-Dame Cathedral, although it's currently being renovated. And I'll try some French food, of course.M: Have a great trip!W: Thanks. I can't wait to go.Text 7.M: Good afternoon, madam. Welcome to our restaurant. Do you have a reservation?W: No, I don't. But I'd like a table for two.M: I'm sorry, but we're quite full at the moment. You may have to wait for about half an hour.W: Oh, that's too long. Can't you find a table for us?M: I'm really sorry. But if you'd like, you can wait in the lounge and we'll call you as soon as a table is available.W: Okay. Thank you.(After about half an hour).M: Excuse me, madam. There's a table available now. Please follow me.Text 8.W: Hi, David. I heard you got a new job. Congratulations!M: Thanks, Lisa. I'm really excited about it. It's a great opportunity.W: What kind of job is it?M: I'm working as a software engineer in a big company. I'll be responsible for developing new software programs.W: That sounds interesting. But it must be very challenging, right?M: Yes, it is. But I'm confident that I can do a good job. I have a lot of experience in this field.W: That's great. I wish you all the best.M: Thank you. I'm looking forward to starting my new job.Text 9.M: Attention, please. I'm the tour guide for today. We're now at the Great Wall of China. As you all know, the Great Wall is one of the greatest wonders of the world. It was built over 2,000 years ago to protect the country from invaders.W: Wow, that's amazing. How long is the Great Wall?M: It's about 21,196 kilometers long. It's really a huge project.W: It must have taken a lot of effort to build it.M: Yes. Thousands of people worked on it for many years. Now, let's start our tour. We'll walk along a part of the wall and enjoy the beautiful view.W: Great!Text 10.M: Good morning, everyone. Today I'd like to talk about the importance of protecting the environment. As we all know, the environment is very important for our survival. However, in recent years, the environment has been seriously polluted.W: What are the main causes of pollution?M: There are many causes. For example, the burning of fossil fuels, the discharge of industrial waste, and the increase in the number of cars. These have all led to air pollution, water pollution and soil pollution.W: What can we do to protect the environment?M: We can do a lot of things. For example, we can save energy byturning off the lights when we leave the room. We can also reduce the use of plastic bags and recycle waste.W: That's right. We should all do our part to protect the environment. M: Exactly. Let's work together to make our planet a better place. 二、注释及翻译。

绵阳市高中2013级第三次诊断性考试数学（文科）本试卷分第I 卷（选择题)和第II 卷（非选择题）两部分。

第I 卷l 至2页，第II 卷 3至4页。

满分150分。

考试时间120分钟。

注意事项：1. 答题前,考生务必将自己的姓名、考号用0.5毫米的黑色签字笔填写在答题卡上， 并将条形码粘贴在答题卡的指定位置。

2. 选择题使用2B 铅笔填涂在答题卡对应题目标号的位置上，非选择题用0.5毫米的 黑色签字笔书写在答题卡的对应框内，超出答题区域书写的答案无效；在草稿纸、试题卷 上答题无效。

3. 考试结束后，将答题卡收回。

第I 卷（选择题，共50分）一、选择题：本大题共10小题，每小题5分，共50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. 设集合U={l,2, 3, 4}, M={l, 2, 3}, N={2，3, 4},则)(N M C U 等于 A. {1, 2} B. {2, 3} C.{2, 4} D. {1, 4}2.抛物线x 2=-4y 的准线方程是A. x=-1B. x=2C.y=1D. y=-23. 若复数z 满足z*i=1+i (i 为虚数单位),则复数z= A. 1+i B. -1-i C. 1-i D. -1+i4. 设数列{a n }是等比数列，则“a 1<a 2广是“数列{a n }是递增数列”的 A.充分而不必要条件 B.必要而不充分条件 C.充要条件D.既不充分又不必要条件5. 平面向量a 与b 的夹角为600,a=(2, 0)，b =(cosa, sina),则|a+2b|=A.7. 执行如图所示的程序框图，若输出结果为26,则M 处的条件为 A. 31≥k B. 15≥k C. k>3l D. k>l58. 己知函数. )|)(|2sin(2)(πθθ<+=x x f ，若函数f(x)在区间)85,6(ππ 上单调递增，则0的取值范围是 A [87,3ππ]B [43,65ππ--]C (32,ππ--] [ππ,8-)D (3,ππ-] [ππ,87) 9. 已知椭圆)0(12222>>=+b a by a x 与离心率为2的双曲线)0,0(12222>>=+n m n y m x 的公共焦点 是F 1 F 2,点P 是两曲线的一个公共点，若31cos 21=∠PF F ,则椭圆的离心率为 A.42 B.22C.1010 D.51010. 已知函数f(x)=ln(e x+a)(e 是自然对数的底数，a 为常数）是实数集R 上的奇函数，若 函数f(x)=lnx-f(x)(x 2-2ex+m)在(0, +∞)上有两个零点，则实数m 的取值范围是A. )1,1(2ee e+ B. )1,0(2ee + C. ),1(2+∞+e e D. )1,(2ee +-∞第II 卷（非选择题，共100分）二、填空题：本大题共5小题，每小题5分，共25分.11. 若直线x+(a-1)y=4与直线x=1平行，则实数a 的值是____ 12. 如图所示，一个空间几何体的正视图和侧视图都是边长为4 的正方形，俯视图是一个直径为4的圆，则这个几何体的侧 面积是____13. 设变量x 、y 满足约束条件：⎪⎩⎪⎨⎧-≥≤+≤11y y x x y ，则目标函数z=2x+y 的最大值是_______14. 己知534sin )3sin(-=++a a π，且32ππ-<<-a 则cosa=______15. 定义在区间[a, b ]上的函数y=f(x), )(x f '是函数f(x)的导数，如果],[b a ∈∃ξ，使得f(b)-f(a)= ))((a b f -'ξ,则称ξ为[a,b]上的“中值点”.下列函数：① f(x)=2x+l, ② f(x)=x 2-x+l,③ f(x)=lnx+l,④3)21()(-=x x f ，其中在区间[0, 1]上的“中值点”多于一个的函数是______(请写出你认为正确的所有结论的序号）三、解答题：本大题共6小题，共75分.解答应写出文字说明、证明过程或演算步骤. 16. (本小题满分12分）从高三学生中抽取n 名学生参加数学竞赛，成绩（单位：分）的分组及各数据绘制的频 率分布直方图如图所示，已知成绩的范围是 区间[40, 100),且成绩在区间[70, 90)的学 生人数是27人.(I) 求n 的值;(II)试估计这n 名学生的平均成绩；(III)若从数学成绩（单位：分）在[40,60)的学生中随机选取2人进行成绩分析，求至少有1人成绩在[40, 50)内的概率.17. (本小题满分12分）已知{a n }是等差数列，a 1=3, Sn 是其前n 项和，在各项均为正数的等比数列{b n }中， b 1=1 且b 2+S 2=1O, S 5 =5b 3+3a 2.(I )求数列{a n }, {b n }的通项公式； (II)设n n S c 2=，数列{c n }的前n 项和为T n ,求证23<n T18. (本小题满分12分）如图，ABCD 是边长为2的正方形，ED 丄平面ABCD,ED=1, EF//BD 且EF=BD.(I)求证：BF//平面ACE(II)求证：平面EAC 丄平面BDEF; (III)求几何体ABCDEF 的体积.19. (本小题满分12分）函数)2||,0)(sin()(πϕωϕω<>+=x x f 的部分图象如图示，将y=f(x)的图象向右平移4π个单位后得到函数y=f(x)的 图象. (I )求函数y =g(x)的解析式；(II)已知ΔABC 中三个内角A ，B ， C 的对边分别为a, b ，c ，且满足)122(π+A g +)122(π+B g ＝26sinAsinaB,且C=3π，c=3，求ΔABC 的面积.20. (本小题满分13分）已知椭圆C: )0(12222>>=+b a b y a x 的离心率为23，以原点为圆心，椭圆c 的短半轴长为半径的圆与直线02=++y x 相切.A 、B 是椭圆的左右顶点，直线l 过B 点且与x 轴垂直，如图.(I )求椭圆的标准方程；(II)设G 是椭圆上异于A 、B 的任意一点，GH 丄x 轴，H 为垂足，延长HG 到点Q 使得HG=GQ,连接AQ 并延长交直线l 于点M,点N 为MB 的中点，判定直线QN 与以AB 为直径的圆O 的位置关系，并证明你的结论.21. (本小题满分14分）已知函数f(x)=e x-ax(e 为自然对数的底数). (I )求函数f(x)的单调区间；(II)如果对任意],2[+∞∈x ，都有不等式f(x)> x + x 2成立，求实数a 的取值范围；(III)设*N n ∈,证明：nn)1(+nn)2(+nn)3(+…+nnn )(<1-e e绵阳市高中2013级第三次诊断性考试数学(文)参考解答及评分标准一、选择题：本大题共10小题，每小题5分，共50分．DCCBB AABDD二、填空题：本大题共5小题，每小题5分，共25分．11．112．16π 13．3 14．①④ 三、解答题：本大题共6小题，共75分．解答应写出文字说明、证明过程或演算步骤． 16．解：（Ⅰ）成绩在区间[)9070，的频率是：1-(0.02+0.016+0.006+0.004)×10=0.54，∴ 27500.54n ==人． ……………………………………………………………3分（Ⅱ）成绩在区间[)8090，的频率是： 1-(0.02+0.016+0.006+0.004+0.03)⨯10=0.24，利用组中值估计这50名学生的数学平均成绩是：45×0.04+55×0.06+65×0.2+75×0.3+85×0.24+95×0.16=76.2． ……………3分（Ⅲ）成绩在区间[)4050，的学生人数是：50×0.04=2人， 成绩在区间[)5060，的学生人数是：50×0.06=3人， 设成绩在区间[)4050，的学生分别是A 1，A 2，成绩在区间[)5060，的学生分别是B 1，B 2，B 3，从成绩在[)6040，的学生中随机选取2人的所有结果有：(A 1，A 2)，(A 1，B 1)，(A 1，B 2)，(A 1，B 3)，(A 2，B 1)，(A 2，B 2)，(A 2，B 3)，(B 1，B 2)，(B 1，B 3)，(B 2，B 3)共10种情况．至少有1人成绩在[)5040，内的结果有：(A 1，A 2)，(A 1，B 1)，(A 1，B 2)，(A 1，B 3)，(A 2，B 1)，(A 2，B 2)，(A 2，B 3)共7种情况．∴ 至少有1人成绩在[)5040，内的概率P =107． ……………………………6分 17．解：（Ⅰ）设等差数列{a n }的公差为d ，等比数列{b n }的公比为q ，由题意可得：11211121054553()2b q a d a d b q a d ⋅++=⎧⎪⎨⨯+⨯=++⎪⎩，， 解得q =2或q =517-(舍)，d =2．∴ 数列{a n }的通项公式是a n =2n +1，数列{b n }的通项公式是12n n b -=． …7分（Ⅱ）由（Ⅰ）知2(321)22n n n S n n ++==+，于是2112n n c S n n ==-+，∴ 11111111324352n T n n =-+-+-+⋅⋅⋅+-+1111212n n =+--++ 311212n n =--++<32． …………12分 18．解：（Ⅰ）如图，记AC 与BD 的交点为O ，连接EO ，于是DO=OB ．∵ EF ∥BD 且EF ＝12BD ，∴EF ， ∴ 四边形EFBO 是平行四边形， ∴ BF ∥EO ．而BF ⊄平面ACE ，EO ⊂平面ACE ，∴ BF ∥平面ACE ．…………………………4分（Ⅱ）∵ ED ⊥平面ABCD ，AC ⊂平面ABCD ，∴ ED ⊥AC ．∵ ABCD 是正方形， ∴ BD ⊥AC ，∴ AC ⊥平面BDEF ．又AC ⊂平面EAC ，故平面EAC ⊥平面BDEF ． ……………………………8分 （Ⅲ）连结FO ，∵ EF ， ∴ 四边形EFOD 是平行四边形． 由ED ⊥平面ABCD 可得ED ⊥DO ， ∴ 四边形EFOD 是矩形． ∵ 平面EAC ⊥平面BDEF ．∴ 点F 到平面ACE 的距离等于就是Rt△EFO 斜边EO 上的高，且高h =EF FO OE ⋅=． ∴几何体ABCDEF 的体积E ACD F ACE F ABC V V V V ---=++三棱锥三棱锥三棱锥=111111221+221323232⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅ =2．……………………………………………12分19．解：（Ⅰ）由图知：2=4+126πππω（），解得ω=2． 再由()sin(2)11212f ππϕ=⋅+=，得2(Z)62k k ππϕπ+=+∈，即2(Z)3k k πϕπ=+∈．由22ππϕ-<<，得3πϕ=．∴ ()sin(2)3f x x π=+．∴ ()sin[2()]sin(2)4436f x x x ππππ-=-+=-，即函数y =g (x )的解析式为g (x )=sin(2)x π-．………………………………6分（Ⅱ）由已知化简得：sin sin sin A B A B +=．∵ 32sin sin sin sin 3a b c R A B C π====(R 为△ABC 的外接圆半径)，AB C D EF O∴2R =，∴ sin A =2a R ，sin B =2b R ．∴2222a b a b R R R R+=⋅，即a b +=． ① 由余弦定理，c 2=a 2+b 2-2ab cos C ，即 9=a 2+b 2-ab =(a +b )2-3ab ． ②联立①②可得：2(ab )2-3ab -9=0，解得：ab =3或ab =23-(舍去)， 故△ABC 的面积S △ABC=1sin 24ab C =．…………………………………12分20．解：（Ⅰ）由题可得：e=c a =∵ 以原点为圆心，椭圆C 的短半轴长为半径的圆与直线x +y +2=0相切，b ，解得b =1．再由 a 2=b 2+c 2，可解得：a =2．∴ 椭圆的标准方程：2214x y +=．……………………………………………5分（Ⅱ）由（Ⅰ）可知：A (-2，0)，B (2，0)，直线l 的方程为：x =2． 设G (x 0，y 0)(y 0≠0)，于是H (x 0，0)，Q (x 0，2y 0)，且有220014x y +=，即4y 02=4-x 02．设直线AQ 与直线BQ 的斜率分别为：k AQ ，k BQ ，∵220000220000224412244AQ BQ y y y x k k x x x x -⋅=⋅===-+---，即AQ ⊥BQ ， ∴ 点Q 在以AB 为直径的圆上．∵ 直线AQ 的方程为：002(2)2y y x x =++，由002(2)22y y x x x ⎧=+⎪+⎨⎪=⎩，， 解得：00282x y y x =⎧⎪⎨=⎪+⎩，，即008(2)2y M x +，，∴ 004(2)2yN x +，．∴ 直线QN 的斜率为：0000000220000422222442QN y y x x y x y x k x x y y -+---====--，∴ 0000212OQ QN y x k k x y -⋅=⋅=-，于是直线OQ 与直线QN 垂直， ∴ 直线QN 与以AB 为直径的圆O 相切． …………………………………13分 21．解：（Ⅰ）∵a e x f x -=')(，当a ≤0时0)(>'x f ，得函数f (x )在(-∞，+∞)上是增函数． 当a >0时，若x ∈(ln a ，+∞)，0)(>'x f ，得函数()f x 在(ln a ，+∞)上是增函数； 若x ∈(-∞，ln a )，0)(<'x f ，得函数()f x 在(-∞，ln a )上是减函数．综上所述，当a ≤0时，函数f (x )的单调递增区间是(-∞，+∞)；当a >0时，函数f (x ) 的单调递增区间是(ln a ，+∞)，单调递减区间是(-∞，ln a )．…5分（Ⅱ）由题知：不等式e x -ax >x +x 2对任意[2)x ∈+∞，成立，即不等式2x e x x a x--<对任意[2)x ∈+∞，成立．设2()x e x x g x x --=(x ≥2)，于是22(1)()x x e x g x x --'=．再设2()(1)x h x x e x =--，得()(2)x h x x e '=-． 由x ≥2，得()0h x '>，即()h x 在[2)+∞，上单调递增，∴ h (x )≥h (2)=e 2-4>0，进而2()()0h x g x x'=>，∴ g (x )在[2)+∞，上单调递增，∴ 2min[()](2)32e g x g ==-，∴ 232e a <-，即实数a 的取值范围是2(3)2e -∞-，．………………………10分（Ⅲ）由（Ⅰ）知，当a =1时，函数f (x )在(-∞，0)上单调递减，在(0，+∞)上单调递增．∴ f (x )≥f (0)=1，即e x -x ≥1，整理得1+x ≤e x．令i x n=-(n ∈N*，i =1，2，…，n -1)，则01i n <-≤i ne -，即(1)n i n -≤i e -，∴1()n n n -≤1e -，2()n n n -≤2e -，3()n n n -≤3e -，…，1()n n ≤(1)n e --，显然()n nn ≤0e ，∴ 1231()()()()()n n n n n n n n n n n n n n ---++++⋅⋅⋅+≤0123(1)n e e e e e -----++++⋅⋅⋅+ 11(1)111n n e e e ee e e -----==<---， 故不等式123()()()+1n n n n n en n n n e +++<-…（）（n ∈N *）成立．……………4分希望对大家有所帮助，多谢您的浏览！。

四川广元市2013级高考第二次适应性统考数学（理）试题本试卷分试题卷和答题卷两部分。

满分150分，考试时间120分钟．考试结束后，将答题卷和答题卡一并交回．注意事项：1．答题前，考生务必将自已的姓名、准考证、考试科目用铅笔涂写在答题卡上．2．第1卷每小题选出答案后。

用铅笔把答题卡上对应题目的答案标涂黑，如需改动，用橡皮擦干净后。

再选涂其他答案，不能答在试题卷上．3．选择题共10小题，每小题5分，共50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．第Ⅰ卷一、选择题1．复数ii z 212-+=的共轭复数是 A ．i 53- B ．53i C ．一i D ．i 2．已知集合M }1|||{},021|{<=<-+=x x N x x x ，则 A ．N M ≠∈ B ．M N ≠∈ C ．M=N D ．φ=N M3．命题“若4πα=，则1tan =α”的逆否命题是A ．若1tan ,4≠≠απα则B ．若1tan ,4≠=απα则 C ．若4,1tan παα≠≠则 D ．若4,1tan παα=≠则4．如图。

在圆心角为直角的扇形OAB 中，分别以OA 、OB 为直径作两个半圆．在扇形OAB 内随机地取点，则此点取自阴影部分的概率为A ．π121-B ．π1 C ．π21- D ．π25．如图所示是某一容器的三视图，现向容器中匀速注水。

则容器中水面的高度h 随时间f 变化的函数图象可能是6．在n n a x a x a x a a x ++++=- 2210)1(中，若0252=++n a a ，则自然数n 的值为A ．5B ．6C ．7D ．87．如图所示，点P 是函数y=2sin （ϕω+x ）（0,>∈ωR x ）的图象的最高点，M 、N 是图象与x 轴的交点，若==⋅ω则,0PN PMA ．4πB ．3πC ．2πD ．88．γβα,,是三个不同平面，则下列命题正确的是A ．γαγββα//,⇒⊥⊥B ．γαγββα⊥⇒⊥//, aC ．γβαγβα,,,,⇒共点共线D ．γβααγγββα,,,,⇒⊥⊥⊥共线9．对于顶点在原点的抛物线，给出下列条件：①焦点在x 轴上；②焦点在y 轴上；③抛物线上横坐标为1的点到焦点的距离等于6；④由原点向过焦点的某直线作垂线，垂足为（2，1）．其中能使搪物线方程为y 2=l0x 条件是A ．①③B ．②④C ．②③D ．①④10．已知正项等比数列}{n a 满足,2567a a a +=若存在两项m m a a ,使得,41a a a n m =则n m 41+的最小值是 A ．23 B ．35 C ．49 D ．625 第Ⅱ卷二、填空题，每小题5分．共25分．请将答案直接填在答题卷上。

四川省广元市2013届高三第二次诊断性考试数学试题（文）本试卷分试题卷和答题卷两部分，试题满分150分，考试时间120分钟。

考试结束后，将答题卷和答题卡一并交回． 注意事项：1．答题前．考生务必将自己的姓名、准考证号、考试科．日用铅笔潦写在答题卡上． 2．第I 卷每小题选出答案后，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，不能答在试题卷上．3．选择题共10小题，每小题5分，共50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，第I 卷一、选择题1．已知集合M {|(1)(2)0},{|||1}x x x N x x =++<=<，则A ．N M ≠∈B ．M N ≠∈C ．M=ND ．φ=N M2．如图，矩形ABCD 中，点E 是CD 边的中点，若在矩形ABCD内部随机取一点Q ，则点Q 取自△ABE 内部的概率为A ．14 B ．13 C ．12 D ．233．复数212ii +-的共轭复数是A ．35i - B ．35iC ．i -D ．i4．一个空间几何体的主视图和左视图都是边长为l 的正方形，俯视图是一个直径为1的圆，那么这个几何体的表面积为 A ．3π B ．2πC ．32π D ．4π5．命题“若p 则q”的逆命题是 A ．若q 则pB ．若p q ⌝⌝则C ．若q p ⌝⌝则D ．若p 则q ⌝6．已知函数()33()33xxxxf xg x --=+=-与的定义域均为R ，则 A ．f （x ）与g （x ）均为偶函数 B ．f （x ）为奇函数，g （x ）为偶函数 C ．f （x ）与g （x ）均为奇函数D ．f （x ）为偶函数，g （x ）为奇函数7．执行如图所示的程序框图，则输出的S 的值是 A ．4 B ．32C ．23D ．-18．将函数y=sm2x 的图像向左平移4π个单位，再向上 平移1个单位，所得图像的解析式为 A ．y=cos2x B ．y=2cos 2x c ．y=l+sin （2x+4π） D ．y=2sin 2x 9．若直线12:20(0):30l x y m m l x ny -+=>+-=与直线m+n= A ．0 B ．1 C ．-1 D ．210．一组数据共有7个数，记得其中有10，2，5，2，4，2，还有一个数没记清，但知道这组数据的平均数、中位数、众数依次成等差数列，则这个数的所有可能值的和为 A ．-11 B ．17 C ．3 D ．9第II 卷二、填空题．每小题5分，共25分．请将答案直接填茌答题卷上 11．函数()f x =的定义域 。