辽宁省大连市2017届高三3月双基测试 英语
辽宁省大连市高三数学3月双基测试试题 文(扫描版)
辽宁省大连市2017届高三数学3月双基测试试题文（扫描版）2017年大连市高三双基测试 数学（文科）参考答案与评分标准说明：一、本解答给出了一种或几种解法供参考，如果考生的解法与本解答不同，可根据试题的主要考查内容比照评分标准制订相应的评分细则．二、对解答题，当考生的解答在某一步出现错误时，如果后继部分的解答未改变该题的内容和难度，可视影响的程度决定后继部分的给分，但不得超过该部分正确解答应得分数的一半；如果后继部分的解答有较严重的错误，就不再给分．三、解答右端所注分数，表示考生正确做到这一步应得的累加分数． 四、只给整数分数，选择题和填空题不给中间分． 一．选择题（1）D ；（2）C ；（3）C ； （4）B ；（5）B ；（6）D ；（7）B ； （8）C ；（9）D ；（10)D ； （11）A ； （12）A ． 二.填空题（13）36； （14）6； (15) 3； 16．1(0,)e.三.解答题（17）(本小题满分12分)解：（I ）由已知得：222sin sin sin sin sin A B C A B +-=-， ······ 2分 由正弦定理得：222a b c ab +-=-， ················ 3分由余弦定理可得2221cos 22a b c C ab +-==-. ············· 4分 0C π<<，23C π∴=. ····················· 6分 （II ）解法一： 由122CD CA CB =+=可得：22216CA CB CA CB ++⋅=， ····· 8分 即2216a b ab +-=，由余弦定理得2224,4a b ab ab ++=∴=， ··· 10分1sin 2S ab C ∴===··················· 12分 解法二：延长CD 到M ,连接AM ，易证BCD AMD ∆≅∆,,3BC AM CAM =∠=π. ····················· 8分由余弦定理得222224,16.a b ab a b ab ⎧++=⎪⎨+-=⎪⎩ ················· 10分4ab ∴=，1sin 24S ab C ab ∴=== ·············· 12分 (18)(本小题满分12分)解：（I ）男生成绩优秀的人数为：57+23=80人，非优秀的人数为：120-80=40人， 女生成绩优秀的人数为：100×（0.25+0.3）=40人，非优秀的人数为：100-40=60人，······························· 4分22220(80604040)15.64410.828120*********K ⨯-⨯=≈>⨯⨯⨯∴有99.9%以上的把握认为体育运动知识竞赛成绩是否优秀与性别有关． · 6分 （II ）由（I ）中数据可得男女比例为2：1， ············· 7分 ∴抽取的6人中男生4人，用A 1、A 2、A 3、A 4代表；女生有2人，用B 1、B 2代表. 抽取2人基本事件空间为Ω={（A 1，A 2），（A 1，A 3），（A 1，A 4），（A 1，B 1），（A 1，B 2）,（A 2，A 3），（A 2，A 4），（A 2，B 1）,（A 2，B 2）,（A 3，A 4），（A 3，B 1）,（A 3，B 2）,（A 4，B 1）,（A 4，B 2）, （B 1，B 2）}， ····················· 9分这两人一男一女为事件A ={（A 1，B 1）,（A 1，B 2）,（A 2，B 1）,（A 2，B 2）,（A 3，B 1）,（A 3，B 2）,（A 4，B 1）,（A 4，B 2）}， ······················ 11分∴8()15中基本事件数中基本事件总数==ΩA P A ················· 12分(19)(本小题满分12分)解：(I)证明：∵PD ⊥平面ABCD ，AC ⊂平面ABCD ，∴PD ⊥AC ，又∵底面 ABCD 为菱形，∴BD ⊥AC ，PD ∩BD =D ，PD ⊂平面PBD ，BD ⊂平面PBD ，∴AC ⊥平面PBD ，又AC ⊂平面EAC ，∴平面EAC ⊥平面PBD . ………………………………………6分(II)若四棱锥的体积被平面EAC 分成3：1两部分，则三棱锥E －ABC 的体积是整个四棱锥体积的14，································· 8分 设三棱锥E －ABC 的高为h ，底面ABCD 的面积为S ，则13·12S ·h ＝14·13S ·PD ，由此得h ＝12PD ，故此时E 为PB 的中点． ···· 12分 (20) （本小题满分12分）解：（Ⅰ）()()()()22211111a x ax x ax f x x x x x +-++'=+=++（） ··········· 2分 )04f x 函数（在区间（，）上单调递增，()00f x '∴≥在（，4）上恒成立()210x ax ∴++≥， ························ 3分 2211()20x x a x x x ++≥-=-+-即在（，4）上恒成立·········· 5分 12x x +≥，取等条件为当且仅当“=1x ”，4a ∴≥- ········· 6分（Ⅱ）设切点为()00x y ，，则()000000022ln 1ax y x f x y x x '===++，且， ··· 7分 ()200121a x x ∴+=+ ① 且 00002ln 1ax x x x =++ ② ····················· 8分 由①得2001(2)(1)a x x =-+代入②得 00002ln (21)(1)x x x x =+-+ 即2000ln 210x x x +--= ······················ 9分令()2ln 21F x x x x =+--，则()214141x x F x x x x-+'=+-=， ····· 10分2410x x -+=的Δ=-15<02410x x ∴-+>恒成立。
辽宁省大连市2017届高三英语考前适应性测试试题(无答案)
辽宁省大连市2017届高三英语考前适应性测试试题（无答案）时间：120分钟满分：150分第一部分听力（共20小题，满分30分略）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中选出最佳选项并在答题卡上将该项涂黑。
ADo you want to get home from work knowing you have made a real difference in someone's life?If yes, don't care about sex or age! Come and join us, then you'll make it!Position: Volunteer Social Care Assistant(No Pay with Free Meals)Place: ManchesterHours: Part TimeWe are now looking for volunteers to support people with learning disabilities to live active lives! Only 4 days left. Don't miss the chance of lending your warm hands to help others!Role:You will provide people with learning disabilities with all aspects of their daily lives. You will help them to develop new skills. You will help them to protect their rights and their safety. But your primary concern is to let them know they are valued.Skills and Experience Required:You will have the right values and great listening skills. You will be honest and patient. You will have the ability to drive a car and to communicate in fluent written and spoken English since you'll have to help those people with different learning disabilities. Previous care-related experience will be a great advantage for you.21. The text is meant to ______ .A. leave a noteB. send an invitationC. present a documentD. carry an advertisement22. What docs the underlined part mean?A. You'll make others' lives more meaningful with this job.B. You'll arrive home just in time from this job.C. You'll earn a good salary from this job.D. You'll succccd in getting this job.23. The volunteers' primary responsibility is to help people with learning disabilities ______ .A. to get some financial supportB. to properly protect themselvesC. to leam some new living skillsD. to realize their own importance24. Which of the following can first be chosen as a volunteer?A. The one who can drive a car.B. The one who has done similar work before.C. The one who has patience to listen to others.D. The one who can use English to communicate.BIn 1943, when I was 4, my parents moved from Coeur d'Alene, Idaho, to Fairbanks, Alaska, where adventure was never very far away.We arrived in the summer, just in time to enjoy the midnight sun. All that sunlight was fantastic for Mom's vegetable garden. Working in the garden at midnight tended to throw her timing off, so she didn't care much about my bedtime.Dad was a Railway Express agent and Mom was his clerk. That left me in a mess. I usually managed to find some trouble to get into. Once I had a little fire going in the dirt basement of a hotel. I had tried to light a barrel（桶） of paint but couldn't really get a good fire going. The smoke got pretty bad, though, and when 1 made my exit, a crowd and the police were there to greet me. The policemen took my matches and drove me home.Mom and Dad were occupied in thegarden and Dad told the police to keep me, and they did! I had a tour of the prison before Mom rescued me. 1 hadn't turned 5 yet.As I entered kindergarten, the serious cold began to set in. Would it surprise you to know that I soon left part of my tongue on a metal handrail at school?As for Leonhard Seppala, famous as a dog sledder (驾雪橇者), I think I knew him wellbecause I was taken for a ride with his white dog team one Sunday. At the time I didn't realize what a superstar he was, but I do remember the ride well. I was wrapped (包裹) heavily and well sheltered from the freezing and blowing weather.In 1950, we moved back to Coeur d'Alene, but we got one more Alaskan adventure when Leonhard invited us eight years later by paying a visit to Idaho to attend a gathering of former neighbors of Alaska.25. What can be inferred about the author's family?A. His father was a cruel man.B. His parents didn't love him.C. His parents used to be very busy.D. His mother didn't have any jobs.26. What happened when the author was 4?A. He learned to smoke.B. He was locked in a basement.C. He was arrested by the police.D. He nearly caused a fire accident.27. Which of the following is true?A. Leonhard was good at driving dog sleds.B. The author spent his whole childhood in Alaska.C. Leonhard often visited the author's family after 1950.D. The author suffered a lot while taking the dog sled in Alaska.28. What is the author's purpose of writing the text?A. To look back on his childhood with adventures.B. To describe the extreme weather of Alaska.C. To express how much he misses Leonhard.D. To show off his pride in making trouble.CI was never very neat, while my roommate Kate was extremely organized. Each of her objects had its place, but mine always hid somewhere. She even labeled (贴标签 ) everything.I always looked for everything. Over time, Kate got nearer and I got messier. She would push my dirty clothing over, and I would lay my books on her tidy desk. We both got tired of each other.War broke out one evening. Kate came into the room. Soon, I heard her screaming, "Take your shoes away! Why under my bed!" Deafened, I saw my shoes flying at me. I jumped to myfeet and started yelling. She yelled back louder.The room was filled with anger. We could not have stayed together for a single minute but for a phone call. Kate answered it. From her end of the conversation, I could tell right away her grandma was seriously ill. When she hung up, she quickly crawled (爬 ) under her covers, sobbing. Obviously, that was something she should not go through alone. All of a sudden, a warm feeling of sympathy rose up in my heart.Slowly, I collected the pencils, took back the books, made my bed, cleaned the socks and swept the floor, even on her side. I got so into my work that I even didn't noticed Kate had sat up. he was watching, her tears dried and her expression one of disbelief. Then, she reached out her hands to grasp mine. I looked up into her eyes. She smiled at me. "Thanks."Kate and I stayed roommates for the rest of the year. We didn't always agree, but we learned the key to living together: giving in, cleaning up and holding on.29. What made Kate angry one evening?A. She couldn't find her books.B. She heard the author shouting loud.C, She got the news that her grandma was ill. D. She saw the author's shoes beneath her bed.30. The author tidied up the room most probably because___.A. she was scared by Kate's angerB. she hated herself for being so messyC. she wanted to show her careD. she was asked by Kate to do so31. How is Paragraph I mainly developed?A. By analyzing causes.B. By showing differences.C. By describing a process.D. By following time order.32. What might be the best title for the story?A. My Friend KateB. Hard Work Pays OffC. How to Be OrganizedD. Learning to Be RoommatesDThere have always been a lot of commonly believed but false ideas about being fat and doing exercise. Some people believe that they can't help putting an weight as they get older, while others hold that if they stop exercising, their muscles will turn into fat. Here are some more myths:I’ll never lose weight--I come from a fat familyWrong! While we can't change the body type we are born with, we can't blame our genes for making us fat. There's plenty of evidence that fatness runs in families, and the main reason is that they share the same habit of eating too much and exercise too little.I am fat because I burn calories slowlyWrong! Fatness is not caused by a slow metabolism(新陈代谢). In fact, although fat people consume more energy than slim people, they also fail to realize how much they eat! Keeping a diary can help you work out your daily food intake mom accurately.Exercise is boringWrong! Anything will become boring if you do it repetitively. The key is to develop a balanced and varied program that's fun as well as progressive. If you enjoy a Sunday walk, take a different route.If you do yoga, try a tai chi class. If you like swimming, set yourself a distance or time challenge.No pain, no gainWrong! Exercise is not meant to hurt. Indeed, pain is you body telling you something's wrong, and continuing to exercise could lead to serious injury. You may experience mild discomfort as you begin to exercise regularly, but this is your body adapting to the positive changes in your lifestyle and the aches should disappear relatively quickly. If they don't, rest and seek medical advice.33. What does the author think about being fat?A. It is the family genes that make people fat.B. People are fat because they consume too little energy.C. A diary of exercise can prevent people from becoming fat.D. It is the consequence of people's unbalanced lifestyle.34. According to the author, how can we make exercise mom interesting?A. By taking varied exercise.B. By choosing simple exercise.C. By doing regular exercise.D. By sticking to outdoor exercise.35. What is the author's opinion about "No pain, no gain" in exercising?A. Keeping lit is essentially a painful experience.B. Exercise should be stopped if continuous pain is felt.C. Pain in exercise is a precondition for reaching your goal.D. Getting used to pain leads to positive changes in your body.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。
【辽宁省大连市】2017届高三3月双基测试数学(理科)试卷
16．已知正方体 的棱长为1，过正方体 的对角线 的截面面积为 ，则 的取值范围是_________．
三、解答题（本大题共6小题，共70分．解答应写出文字说明、证明过程或演算步骤．）
17．已知 的内角 ， ， 的对边分别为 ， ， ，且满足 ．
（Ⅱ）若轨迹 上点 处的切线斜率的取值范围是 ，求点 横坐标的取值范围．
23．选修4-5：不等式选讲
设函数 ．
（Ⅰ）若 最小值为4，求 的值；
（Ⅱ）求不等式 的解集．
A．4B．3C．2D．1
3．命题“ ， ”为真命题的一个充分不必要条件是（）
A． B． C． D．
4．已知函数 则 的值为（）
A． B． C． D．
5．在空间直角坐标系 中，一个四面体的顶点坐标分别是 ， ， ， ，若正视图以 平面为投射面，则该四面体左（侧）视图面积为（）
A． B． C． D．
6．已知双曲线 的渐进线与圆 相切，则双曲线的离心率为（）
（Ⅱ）若 ，求二面角 的正弦值．
20．已知函数 ．
（Ⅰ）若函数 在区间 上单调递增，求 的取值范围；
（Ⅱ）若函数 的图象与直线 相切，求 的值．
21．已知椭圆 ： 的左焦点 与抛物线 的焦点重合，椭圆 的离心率为 ，过点 （ ）作斜率存在且不为0的直线 ，交椭圆 于 ， 两点，点 ，且 为定值．
（Ⅰ）求椭圆 的方程；
（Ⅰ）求角 ；
（Ⅱ）向量 ， ，若函数 的图象关于直线 对称，求角 、 ．
18．为了增强中小学生运动健身意识，某校举办中小学生体育运动知识竞赛，学校根据男女生比例从男生中随机抽取120人，女生中随机抽取100人，进行成绩统计分析，其中成绩在80分以上为优秀，根据样本统计数据分别制作了男生成绩频数分布表以及女生成绩频率分布直方图如图：
辽宁省大连市2017届高三3月双基测试英语
辽宁省⼤连市2017届⾼三3⽉双基测试英语辽宁省⼤连市2017届⾼三3⽉双基测试英语说明：1.本试卷分第I 卷（选择题）和第II 卷（⾮选择题）两部分，共150分，考试时间120分钟。
2.将第I 卷和第II 卷的答案写在答题卡上，在本试卷上答题⽆效。
第I 卷第⼀部分：听⼒（共两节，满分30分）第⼀节（共5⼩题；每⼩题1.5分，满分7.5分）听下⾯5段对话。
每段对话后有⼀个⼩题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间回答有关⼩题和阅读下⼀⼩题。
每段对话仅读⼀遍。
1. What does the woman say sorry for?A. Coming late.B. So many travelers.C. No ticets available.2. What is the man doing now?A. Watching TV.B. Giving a speech.C. Maing a call.3. Where is the man now?A. In a restaurant.B. At the airport.C. In a supermaret.4. What will the woman do tonight?A. See a film.B. Read a novel.C. Meet Mr. Lin.5. Where does the conversation probably tae place?A. On the telephone.B. In a house.C. On the street corner.第⼆节（共15⼩题；每⼩题1.5分，满分22.5分）听下⾯5段对话或独⽩。
每段对话或独⽩后有2⾄4个⼩题，从题中做给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独⽩前，你将有5秒钟的时间阅读各个⼩题；听完后，各⼩题将给出5秒钟的作答时间。
大连市普通高中2017届高三学业水平考试模拟试卷(二)英语试题 含解析
第I卷 (选择题满分60分)第一部分阅读理解（共20小题;每小题2分,满分40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.ASenior citizens are permitted to travel cheaply on a bus if they have a special card. Women may get cards when they are sixty。
Mrs. Matthews lives in the country but she went into town once a week to buy food and other things for the house, and she usually went by bus。
She always had to pay the full price for her ride.Then she reached the age of sixty and got her senior citizen’s card, but when she used it for the first time on the bus，it made her feel very old.The bus driver had often seen her traveling on the bus before，and he notices that she was feeling unhappy, so after she had paid her money，he winked（眨眼）at her and whis pered, “Don’t forget to give your mother’s card back to her when you see her again."Mrs. Matthews was very happy when she heard this。
辽宁省大连市高三双基测试(英语)无答案.doc
辽宁省大连市高三双基测试英语试题说明：1．本试卷分第一卷和第二卷两部分，共150分，考试时间1。
2．将一卷和二卷的答案都写在答题纸上，在试卷上答题无效。
第一部分听力（共两节，满分30分）第一节（共5小题；每小题l.5分，满分7.5分）听下面五段对话。
每段对话后有一小题，从题中所给的A、B、C三个选项中选出最佳选项，并在答题卡上将该项涂黑。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1．When will the train arrive?A．At 12:15．B．At 12:30．C．At 12:45．2．Where does the conversation most probably take place?A．In a library, B．In the classroom．C．In a bookstore．3．What's the most probable relationship between the two speakers?A．Husband and wife．B．Teacher and student． C．Customer and salesman．4．What does the man mean?A．He doesn't care that the woman is late．B．He arrived five minutes later than the woman．C．He's angry that the woman is late．5．Who will use the man's car?A．Mike．B．Tom．C．Sam．第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并在答题卡上将该项涂黑。
【辽宁省大连市】2017届高三3月双基测试数学(理科)试卷-答案
设点 处切线 的倾斜角为 ，
由 斜率范围 ，可得 ，
而 ，∴ ，
∴ ，
所以，点 横坐标的取值范围是 ．
23．解：（Ⅰ） ，
解得 ．
（Ⅱ）当 时， ， ；
当 时， ， ，
∴不等式解集为 ．
辽宁省大连市2017届高三3月双基测试数学（理科）试卷
答案
一、选择题
1~5．CBDCB6~10．CADAD11~12．BA
二、填空题
13．
14．36
15．
16．
三、解答题
17．解：（Ⅰ）由已知得： ，
由正弦定理得： ，
由余弦定理可得： ．
， ．
（Ⅱ）解法一： ，
其中 ，
∵ 的图像关于直线 对称，
∴ ，
∵ ，∴ 代入①式得 ．
21．解：
（Ⅰ） 的焦点为 ，
∴ ．
又 ，
∴ ， ．
∴椭圆E的方程为 ．
（Ⅱ）由题意， 存在且不为零，设直线 方程为 ，
联立方程组 消元得
∴ ， ，
= ，
∵ 为定值∴ ，即 ∴
∵ ，∴ ．
∴ ，
同理 ，
．
22．解：（Ⅰ）由 ，得 ，
设 ， ，则 ，即 ，
代入 ，
得 ，∴ ；
（不写 累计扣1分）
所以， ，所以二面角正弦值 ．
20.解：（Ⅰ） ，
∵函数 在区间 上单调递增，∴ 在 上恒成立，∴ ，
即 在 上恒成立，
∵ ，∴ ，∴ ，取等号条件为当且仅当 ，
∴ ，∴ ．
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辽宁省大连市2017届高三数学3月双基测试试题文(扫描版)
辽宁省大连市2017届高三数学3月双基测试试题文（扫描版）2017年大连市高三双基测试 数学（文科）参考答案与评分标准说明：一、本解答给出了一种或几种解法供参考，如果考生的解法与本解答不同，可根据试题的主要考查内容比照评分标准制订相应的评分细则．二、对解答题，当考生的解答在某一步出现错误时，如果后继部分的解答未改变该题的内容和难度，可视影响的程度决定后继部分的给分，但不得超过该部分正确解答应得分数的一半；如果后继部分的解答有较严重的错误，就不再给分．三、解答右端所注分数，表示考生正确做到这一步应得的累加分数． 四、只给整数分数，选择题和填空题不给中间分． 一．选择题（1）D ；（2）C ；（3）C ； （4）B ；（5）B ；（6）D ；（7）B ； （8）C ；（9）D ；（10)D ； （11）A ； （12）A ． 二.填空题（13）36； （14）6； (15) 3； 16．1(0,)e.三.解答题（17）(本小题满分12分)解：（I ）由已知得：222sin sin sin sin sin A B C A B +-=-， ······ 2分由正弦定理得：222a b c ab +-=-， ················ 3分由余弦定理可得2221cos 22a b c C ab +-==-. ············· 4分 0C π<< ，23C π∴=. ····················· 6分 （II ）解法一：由122CD CA CB =+= 可得：22216CA CB CA CB ++⋅=， ····· 8分即2216a b ab +-=，由余弦定理得2224,4a b ab ab ++=∴=， ··· 10分1sin 2S ab C ∴===···················12分 解法二：延长CD 到M ,连接AM ，易证BCD AMD ∆≅∆,,3BC AM CAM =∠=π. ····················· 8分由余弦定理得222224,16.a b ab a b ab ⎧++=⎪⎨+-=⎪⎩ ················· 10分4ab ∴=，1sin 2S ab C ∴===·············· 12分 (18)(本小题满分12分)解：（I ）男生成绩优秀的人数为：57+23=80人，非优秀的人数为：120-80=40人， 女生成绩优秀的人数为：100×（0.25+0.3）=40人，非优秀的人数为：100-40=60人，······························· 4分22220(80604040)15.64410.828120*********K ⨯-⨯=≈>⨯⨯⨯∴有99.9%以上的把握认为体育运动知识竞赛成绩是否优秀与性别有关． · 6分 （II ）由（I ）中数据可得男女比例为2：1， ············· 7分 ∴抽取的6人中男生4人，用A 1、A 2、A 3、A 4代表；女生有2人，用B 1、B 2代表. 抽取2人基本事件空间为Ω={（A 1，A 2），（A 1，A 3），（A 1，A 4），（A 1，B 1），（A 1，B 2）,（A 2，A 3），（A 2，A 4），（A 2，B 1）,（A 2，B 2）,（A 3，A 4），（A 3，B 1）,（A 3，B 2）,（A 4，B 1）,（A 4，B 2）, （B 1，B 2）}， ····················· 9分这两人一男一女为事件A ={（A 1，B 1）,（A 1，B 2）,（A 2，B 1）,（A 2，B 2）,（A 3，B 1）,（A 3，B 2）,（A 4，B 1）,（A 4，B 2）}， ······················ 11分∴8()15中基本事件数中基本事件总数==ΩA P A ················· 12分(19)(本小题满分12分)解：(I)证明：∵PD ⊥平面ABCD ，AC ⊂平面ABCD ，∴PD ⊥AC ，又∵底面 ABCD 为菱形，∴BD ⊥AC ，PD ∩BD =D ，PD ⊂平面PBD ，BD ⊂平面PBD ，∴AC ⊥平面PBD ，又AC ⊂平面EAC ，∴平面EAC ⊥平面PBD . ………………………………………6分(II)若四棱锥的体积被平面EAC 分成3：1两部分，则三棱锥E －ABC 的体积是整个四棱锥体积的14，································· 8分 设三棱锥E －ABC 的高为h ，底面ABCD 的面积为S ，则13·12S ·h ＝14·13S ·PD ，由此得h ＝12PD ，故此时E 为PB 的中点． ···· 12分 (20) （本小题满分12分）解：（Ⅰ）()()()()22211111a x ax x axf x x x x x +-++'=+=++（） ··········· 2分 )04f x 函数（在区间（，）上单调递增，()00f x '∴≥在（，4）上恒成立()210x ax ∴++≥， ························ 3分 2211()20x x a x x x ++≥-=-+-即在（，4）上恒成立 ·········· 5分12x x+≥ ，取等条件为当且仅当“=1x ”，4a∴≥- ········· 6分 （Ⅱ）设切点为()00x y ，，则()000000022ln 1ax y x f x y x x '===++，且， ··· 7分 ()200121a x x ∴+=+ ① 且 00002ln 1ax x x x =++ ② ····················· 8分 由①得2001(2)(1)a x x =-+代入②得 00002ln (21)(1)x x x x =+-+ 即2000ln 210x x x +--= ······················ 9分令()2ln 21F x x x x =+--，则()214141x x F x x x x-+'=+-=， ····· 10分2410x x -+= 的Δ=-15<02410x x ∴-+>恒成立。
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辽宁省大连市2017届高三3月双基测试英语说明：1.本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分，共150分，考试时间120分钟。
2.将第I 卷和第II 卷的答案写在答题卡上，在本试卷上答题无效。
第I 卷第一部分：听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What does the woman say sorry for?A. Coming late.B. So many travelers.C. No ticets available.2. What is the man doing now?A. Watching TV.B. Giving a speech.C. Maing a call.3. Where is the man now?A. In a restaurant.B. At the airport.C. In a supermaret.4. What will the woman do tonight?A. See a film.B. Read a novel.C. Meet Mr. Lin.5. Where does the conversation probably tae place?A. On the telephone.B. In a house.C. On the street corner.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有2至4个小题，从题中做给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有5秒钟的时间阅读各个小题；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6、7题。
6. What is the woman complaining about?A. Fewer sports.B. A shorter tour.C. The crowded bus.7. What will the man do?A. Mae up for loss.B. Apologie to the woman.C. Loo into the master. 听第7段材料，回答第8、9题。
8. How much will the woman pay?A. $50.B. $55.C. $40.9. What will they NOT have at the party?A. Alcohol.B. Cold dishes.C. Soft drins.听第8段材料，回答第10至12题。
10. Why does the man have a huge bill?A. He pays for his roommate.B. He often visits restaurants.C. He spends money lie water.11. What does the roommate sometimes offer to do for the man?A. Lend him money.B. Pay the grocery bill.C. Treat him to dinner.12. What does the woman advise the man to do?A. Spea up his thought.B. Move out of the room.C. Have meals alone.听第9段材料，回答第13至16题。
13. What was yesterday’s call about?A. A visit to a company.B. A job interview.C. A greeting.14. What does the woman suggest wearing?A. A sports dress.B. A formal dress.C. A causal dress.15. What is the man’s bad habit?A. Sleeping early.B. Getting up late.C. Arriving late.16. What does the woman advise the man to do?A. Tell lies.B. Tell the truth.C. Change bad habits.听第10段材料，回答第17至20题。
17. What does Colin plant on the rooftop garden?A. Flowers.B. Vegetables.C. Fruit.18. Who believes urban agriculture can bridge nature and cities?A. Henry.B. Steven.C. Pec.19. Compared with California, what’s the weather lie in Ottawa?A. It’s warmer.B. It’s colder.C. It’s rainier.20. Which is not the benefit of the roof gardens?A. Reducing pollution.B. Promoting business.C. Attracting tourists.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、D）中，选出最佳选项，并在答题卡上将该项涂黑。
AWe humans are superstitious, believing that Friday the 13th is bad luc and finding a penny is good luc. Here, then, are three of the most common superstitions.Careful with that mirrorAccording to foltales, breaing a mirror is sure to bring yourself seven years of bad luc. The superstition seems to arise from the belief that mirrors don’t just reflect your image; they hold bits of your soul. That belief led old American Southerners to cover mirrors in a house when someone died, for fear that their soul might be trapped inside.Lie the number three, the number seven is often associated with luc. Seven years is a long time to be unlucy, so people have come up with solutions after breaing a mirror. These include touching a piece of the broen mirror to a tombstone or powdering the broen mirror.noc on woodThis phrase is designed to brea away from bad luc “Breaing that mirror didn’t bring me any trouble.noc on wood.” The phrase may come from old tales about good spirits in trees or from an association with the Christian cross.No umbrellas inside…And not just because you’ll hurt someone’s eyes. Opening an umbrella indoors is supposed to bring bad luc. The origins of this belief vary from a story of an ancient woman who happened to have opened her umbrella moments before her house fell to the tale of a British prince who accepted two umbrellas from a visiting ing and died within months.21. What may bring good luc?A. Dating on Friday the 13th.B. nocing on wood.C. Opening an umbrella inside.D. Breaing a mirror.22. What should you do to drive bad luc away after breaing a mirror?A. Hide the pieces for seven years.B. Put the pieces in a tombstone.C. Cover the other mirrors in a house.D. Mae the pieces into powder.23. Which phrase may originate(起) from religion?A. Careful with that mirror.B. noc on wood.C. No umbrellas inside.D. Lucy number seven.BWhen Paula Grela-Schult spotted a piece of paper tuced under her windshield(挡风玻璃) wipers, she thought she was getting fined for leaving her car in a bar paring lot overnight. With a heavy sigh, Grela-Schult removed the paper and unloced her car.Hardly had she unfolded the paper when she got shoced. It was a letter from the manager of Original Joe’s Restaurant & Bar in Sherwood Par, Canada.“Just wanted to than you for leaving your car pared overnight,”Jay McLean, managing partner at Original Joe’s, wrote. “I’m not sure if you had consumed alcohol at our restaurant or not, but we wanted to than you for not drining and driving.”Inside it,, Grela-Schult also found a voucher（代金券）for 1 pound of chicen wings.“Please accept this as a than you for being responsible,” McLean wrote. “Life is valuable, have a great weeend.”Grela-Schult was touched.“I was sure it was going to be a ticet or a scolding from someone for leaving my vehicle there for so long,” Grela-Schult told CBS News. “I was truly surprised and so pleased that the manager too the time to acnowledge my good judgment.”She decided to share the man’s good deed on Faceboo.“Wow! I’m so impressed. Definitely going bac,” Grela-Schult wrote in a Faceboo post on Tuesday that has since gone widespread with nearly 8,500 shares. “Not just because of the voucher, but also because of how well this guy treats his regular customers.”Eactly a wee later, Grela-Schult returned to the restaurant to than McLean for his indness, and discovered that she’s not the only customer to receive this leter.“He’s been doing it for over a year, with no epectations.” She eplained. “Just being a good guy.”A. a ticetB. a voucherC. a letterD. a than-you card25. What truly surprised Grela-Schult?A. She was not fined by the police.B. She was not scolded for paring.C. She was considered as responsible.D. She got a voucher for chicen wings.26. What can we learn about Jay Mclean?A. He simply meant to be good.B. He hoped to attract more customers.C. He wanted to be popular on the Internet.D. He intended to please regular customers.27. Which can best describe the change of the author’s feelings?A. sad—ecited—surprised—relievedB. sad—surprised—pleased—impressedC. surprised—sad—disappointed—pleasedD. disappointed—surprised—ecited—delightedCWhenever we see a button, we want to press it because we now that something will happen. This is true in most cases, for eample, on a doorbell. But some buttons are actually fae(假的), lie the “close” button on a lift.Many people are in the habit of pressing the “close” button because they don’t have the patience to wait for the lift doors to shut. But lifts’“close” buttons are a complete tric, at least in the US －the doors will not close any faster no matter how hard you press.It started in the 1990s when the Americans with Disabilities Act was passed in the US, maing sure that all lifts stayed open long enough so that people with disabilities could enter. Only US firefighters and repairmen can use the buttons to speed up the door-closing process if they have a code or special eys.But to normal lift riders, the buttons aren’t completely useless. According to psychologists, fae buttons can actually mae you feel better by offering you a sense of control.“A sense of control is very important. It reduces stress and increases well-being,”said Ellen J. Langer, a psychology professor at Harvard University. Eperts also added that a lot of buttons that don’t do anything eist in our lives for this same purpose.For eample, pedestrian crosswal buttons don’t live up to their names either. Pressing them used to help mae the traffic signals change faster, but that was before computer controlled traffic signals were introduced.But psychologists found it interesting that even when people are aware of these little “white lies”, they still continue to push fae buttons because as long as the doors eventually close, it is considered to be worth the effort.28. What is the author’s purpose in writing the tet?B. To eplore the functions of fae buttons.A. To describe different fae buttons.C. To analye various habits of pushing buttons.D. To eplain the disadvantages of fae buttons.29. What can we learn about the “close” buttons on a lift in America?A. They wor when people press them hard.B. They were designed for a sense of control.C. They never speed up the door-closing process.D. They tae the safety of the disabled into account.30. What can we infer about pedestrian crosswal buttons?A. They can mae people feel better.B. They help computers wor faster.C. They can control the traffic signals.D. They help pedestrians cross safely.31. Which may be the best title for the passage?A. Buttons in the USA.B. Buttons Always LieC. Buttons May not WorD. “Close” Buttons on LiftsDFor many people, being on the job might just sound lie a picnic compared to a day at home filled with housewor, meals and childcare. Even for those with a happy family life, home can sometimes feel more taing than wor.In a new study, researchers at Penn State University found significantly and consistently lower levels of cortisol(皮质醇)released in response to stress, in a majority of subjects when they were at wor compared to when they were at home. This was true for both men and women, and parents and people without children.Both men and women showed less stress at wor. But women were more liely to report feeling happier there. Men were more liely to feel happier at home. Eperts say there are other reasons why wor is less stressful than home for many. “Paid wor is more valued in society,” says Sarah Damase, the lead researcher on the study. “Household wor is boring and not particularly rewarding.”We get better at our job with time and the increased competence means less stress and more rewards. Yet none of us, no matter how long we’ve been doing it, ever truly feels lie an epert at parenting or even at marriage.The support and friendship of co-worers also offer stress relief. At home, meanwhile, stress spreads and accumulates quicly. “That’s the reason why most housewives wish they were the bread earners,” Dr.Damase says.Much of the advice to families and couples include the warning to “leave wor stress at the office” and even to change our mind-set from wor to home, for eample, a wal around the bloc. The recent findings, though, suggest our home life, not our attitude, might be due for some change.32. Which of the following can replace the underlined word “taing”?A. stressfulB. cheerfulC. worthwhileD. rewarding33. What did the research in the second paragraph prove?A. Men felt better at home.B. Women felt they had less time.C. Women were easier to feel happier.D. Most people felt more stress at home.34. What do most people thin of wor at office?A. It is competitive.B. It improves ability.C. It can’t relieve stress.D. It doesn’t always pay off.35. According to the recent findings, what should we change to solve the problem mentioned?A. Our attitude.B. Our mind-set.C. Our home life.D. Our woring style.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。