2018学年高一下学期周末训练(3)-普通用卷

专练(二)夹叙夹议(一)Cloze 1(2017·安徽合肥高三第一次教学质量检测)After stepping out of the international plane, I realized my 10-hour sleepy voyage finally came to an end. Sitting on the bus, I was waiting anxiously for it to start.A woman, sitting next to me, and her daughter both seemed __1__. She told me that her daughter had an upset stomach and would throw up continuously; __2__，the mother had lost her __3__. Apart from a significant amount of money, the purse also had her phone and a phone number of an important __4__，a person she was travelling 90 kilometers to meet for discussing a __5__ matter which had to be __6__ by tomorrow morning.I handed her my cellphone without __7__ and told her that she could make any call she wanted. I also __8__ a bottle of water I had in my bag to relieve her daughter of her __9__. After making several calls, they finally __10__ to the official! They turned to look at me __11__ and thanked me many times. The woman tried to pay for my __12__，but I jumped to do it before her __13__ I knew she had lost her money.Next morning, I received a call from the mother, saying that they couldn't tell how much my __14__ act touched them. They were so __15__ that they had taken down my number to thank me. I was __16__ to be thanked in this way. I never thought my simple offer __17__ so much in her heart. And I thought of how many opportunities for __18__ we had lost by plugging into cellphones and being disconnected __19__ the reality around us—something with easy access may make a big __20__ to others.1．A. excited B. relaxed C. unconscious D. uncomfortable2．A. besides B．however C. therefore D. otherwise 3．A. phone B．address C. purse D. luggage 4．A. accountant B．doctor C. lawyer D. official5．A. simple B．pressing C. political D. financial6．A. settled B．ignored C. raised D. dropped 7．A. doubt B．permission C. question D. hesitation8．A. produced B．ordered C. bought D. sold9．A. fever B．stress C. sickness D. appetite 10．A. came over B. got throughC. looked upD. turned around11．A. doubtfully B．closely C. anxiously D. gratefully12．A. water B．offer C. ticket D. assistance 13．A. since B．if C. while D. although 14．A. temporary B．generous C. cautious D. honest15．A. reasonable B．flexible C. considerate D. desperate16．A. ashamed B．astonished C. disappointed D. amused17．A. weighed B．balanced C. increased D. ranked18．A. courage B．success C. kindness D. justice 19．A. in B．beyond C. of D. from 20．A. promise B．wish C. difference D. gestureCloze 2(2017·贵阳监测二)I feel like I'm always running around. And life, in its gentle ways, tries to __1__ me down. To stop, look, and listen to the __2__ that surrounds us every day.As I __3__ down the street, late for a meeting again, I __4__ myself behind a woman in a __5__ going at a pretty normal pace. Not wanting to rush past her in a hurry on a crowded street, I slowed down and stayed __6__ her.When we __7__ at the signal light, I noticed that on the other side of the crosswalk was another woman around the same age—also in a wheelchair.Something really simple, yet deeply beautiful __8__ as theycrossed one another. The face of the woman coming towards us changed, from __9__，worn-out, and blossomed into a huge honest __10__. Then I looked to the side at the woman next to me, they both __11__ eyes for a minute and smiled wide.In just that brief __12__ of passing each other, they __13__ so much. It reminded me of a nod that two players from the same team might give one another __14__ they pass the ball, or mothers with small babies in recognition of one another. It's this deep __15__ that, “I get you.” We are __16__ through something. I see our similarities and I __17__ them.Now, of course if either of them had __18__，they would have noticed a third woman smiling __19__ on seeing their interaction. It completely made my day to __20__ this small, beautiful gesture of truly “seeing” one another.1．A. set B. put C. slow D. drag2．A. sound B. beauty C. song D. voice3．A. walked B. stepped C. rushed D. went4．A. found B. hid C. placed D. sheltered5．A. room B. bus C. car D. wheelchair6．A. in front of B. beside C. behind D. in the right of7．A. talked B. stopped C. looked D. called8．A. paused B. included C. disappeared D. happened9．A. tired B. excited C. hateful D. envious10．A. admiration B. anger C. envy D. smile11．A. opened B. locked C. closed D. moved12．A. moment B. hour C. day D. week13．A. exchanged B. chatted C. showed D. gained14．A. while B. after C. before D. since15．A. satisfaction B. realization C. motivation D. recognition16．A. checked B. connected C. tracked D. pulled17．A. honor B. need C. own D. refuse18．A. looked down B. looked upC. looked inD. looked out19．A. sadly B. bitterly C. broadly D. awkwardly20．A. enjoy B. observe C. join D. witness专练(二)夹叙夹议(二)Cloze 3(2017·河南省六市高三第一次联考)When I was diagnosed with breast cancer a few years back, I reacted like most who receive a cancer diagnosis and the first thing that came to mind was a “death sentence”. __1__，instead of complaining, I decided to look for the __2__ side of it.I realized that I was about to __3__ a new beginning. I knew that I had to develop and gain __4__ from all my experiences. Even with the pain I had to __5__ through each diagnosis, and all the __6__ I've dealt with all my life, I still felt truly lucky. I __7__ myself that I still have my life, so why am I to __8__？One day, I had an unusual experience. I turned that experience into a __9__ and I called it “Peace”. Writing had become therapy(治疗) for me. I took that poem, along with many others I had __10__ during my breast cancer period and placed them in book form. I was __11__ enough to have that book published. I later had another inspirational children's book __12__，with a third one __13__. I'm hoping that anyone who has the chance to read my first book of poems will benefit from it. My poems are from the heart, and I wish to have a positive __14__ on someone who's ill.I __15__ believe when you survive a serious __16__ like cancer, it's for a reason, and I want to live to __17__ exactly what that is for me.That's what I'm all about now, inspiration. I would have __18__ become a writer, producing inspirational poems and stories, if I had not gone through all that I did. I'm a true example that you can __19__ cancer, as long as you have faith and allow that faith to __20__your path.1．A. However B. Besides C. Therefore D. Otherwise 2．A. bad B. opposite C. right D. positive 3．A. mark B. miss C. face D. find4．A. advantage B. strength C. knowledge D. skill 5．A. express B. hide C. go D. bear6．A. chances B. struggles C. decisions D. businesses7．A. persuaded B. showed C. reminded D. taught 8．A. complain B. encourage C. disappoint D. please 9．A. poem B. novel C. diary D. play10．A. read B. learned C. written D. collected11．A. confident B. lucky C. careful D. shocked12．A. published B. translated C. typed D. reviewed13．A. in the dark B. above the averageC. ahead of timeD. on the way14．A. impression B. influence C. result D. conclusion15．A. hardly B. honestly C. truly D. widely16．A. accident B. diagnosis C. disaster D. disease17．A. look for B. find out C. concentrate on D. pick out18．A. ever B. already C. just D. never 19．A. cure B. develop C. survive D. treat20．A. direct B. cross C. follow D. walkCloze 4(2017·江西南昌十校高三二模)Here's an amazing fact: Of the 1.1 million firefighters in the United States, about 780,000 are volunteers. Roughly a third of the population is __1__ by mostly-or all-volunteer fire departments.Also __2__，perhaps. Sometimes they have to pay for their own gear(设备)．I __3__ this because I volunteer as a firefighter in Durango, Colorado. I responded to more than 50 calls in 2014, everything from wildfires to car accidents. In that period, I spent close to $ 1,000 on the gear not __4__ by my department, things like higher-quality flashlights, knives, and better gloves, which make my __5__ easier.In January 2015, a bill was __6__ in Congress that would give a significant tax break to those who volunteer their time and make __7__ responses to the fire or other dangerous situations. I hope it passes, not because it will put some money in my pocket__8__ that'll be nice, but because it will ease the __9__ burden on volunteers and acknowledge their time commitment. I believe it will__10__ more people to help. And there's a(n) __11__ for that.In rural areas where population density is low and __12__ calls for fire and EMS services are rare, it just doesn't __13__ to have career firefighters on the staff 24/7(全天候). __14__，volunteers are used to fill in the __15__. We are ready to help someone on what is the worst day of their life. __16__ we have never met before, and might never again, but it doesn't matter in a crisis. __17__ volunteers, the whole system would collapse.There's a T­shirt that's popular among us, reading “For Pride, Not __18__.” We volunteer because we know our __19__ need us. We don't need a small tax break. Without one, we'll still put on our gear when the alarm goes off without any __20__. But we'd appreciate one, and if it gets more people to join us, it's worth it.1．A. guided B. inspired C. supported D. protected2．A. surprising B. amusing C. confusing D. disappointing3．A. predict B. understand C. prove D. analyze4．A. replaced B. supplied C. assigned D. afforded5．A. action B. life C. project D. job6．A. approved B. introduced C. abolished D. revised7．A. favorable B. negative C. general D. immediate 8．A. whether B. unless C. though D. because 9．A. physical B. mental C. financial D. social10．A. encourage B. persuade C. require D. allow11．A. purpose B. necessity C. passion D. explanation12．A. absolutely B. gradually C. relatively D. practically13．A. take the lead B. make a differenceC. come as a surpriseD. make sense14．A. Otherwise B. Nevertheless C. Instead D. Besides15．A. time B. hole C. form D. gap16．A. Especially B. Certainly C. Probably D. Frankly17．A. Except for B. But for C. In spite of D. In case of18．A. Respect B. Pay C. Sympathy D. Experience19．A. communities B. neighbors C. friends D. members20．A. thought B. word C. hesitation D. reason专练(二)夹叙夹议(三)Cloze 5(2017·潍坊模拟)Yesterday I popped into a supermarket on my way home to buy a few items. So there I was, in the 15 items or less line, waiting to be __1__ when I noticed a young lady with a baby in front of me. She was really __2__ her items, which was probably what __3__ my attention to her. So there I was staring, and I watched __4__ the checkout girl told her the total. She began to search the __5__ and then looked up, her face almost white.Intuitively(凭直觉) I knew what was wrong. She was __6__ of money. As her total came to $8. 80. I assumed she was low on the __7__. So I opened my purse, reached in, and __8__ a few of my own coins, saying “How much do you need, honey？” She looked at me __9__ and said “Like all of it”. Without even __10__ and putting my own coins back into my purse, I told the checkout girl to add it to my __11__. The lady could barely speak. She told me she had $10 in her purse but had no __12__ what happened to it. I told her it was no accident today that of all the checkouts I could have lined up at I __13__ at this one, right behind her. I wished her a __14__day, and paid for the total.The lady never did __15__ me or even so much as look back. She walked away __16__ digging through her bag looking for what I supposed was her __17__$10 note. Yet it doesn't matter at all. What I love most about all this is that the checkout girl saw, __18__ the five or so other people behind me. What I hope is that they will __19__ what they saw. Someday, somewhere, perhaps they or the people they tell, may too be __20__ to do the same.1．A. examined B. served C. treated D. ordered2．A. showing off B. looking atC. struggling withD. thinking of3．A. paid B. needed C. devoted D. drew4．A. until B. since C. asD. if5．A. purse B. supermarket C. counter D. baby6．A. disappointed B. shockedC. nervousD. short7．A. list B. spot C. change D. way8．A. seized B. selected C. saved D. carried9．A. calmly B. blankly C. elegantly D. guiltily10．A. introducing B. counting C. hesitating D. planning11．A. total B. money C. fare D. note12．A. effect B. problem C. idea D. access13．A. turned around B. ended upC. looked upD. came back14．A. humourous B. valuableC. warm B. happy15．A. blame B. admire C. thank D. encourage16．A. hardly B. also C. even D. still17．A. missing B. given C. useless D. returned18．A. along with B. except for C. including D. concerning19．A. imagine B. forget C. ignore D. share20．A. discouraged B. invited C. inspired D. excitedCloze 6(2017·广东五校协作体高三第一次联考)I was sitting at the bar of a local restaurant having lunch and taking a break. A pretty girl who looked about twenty-five walked in and sat down in a booth(雅座) __1__ for her friend. It didn't __2__long before I saw she was trying to stay __3__ from other people's gazes and my heart sank. You could see her hair was __4__ and, at such a young age, she was receiving chemo(化疗)．I sat there watching her trying to remain composed(镇静的) and she was having a(n) __5__ time of it. I __6__ for her, imagining what it must be like to go through this and yet I know some of her __7__. You see I __8__my wife, the love of my life just a few short years ago and watched her slowly fade away. I needed to give a message of __9__ to this girl.But how? What could I do?Then it __10__ to me! I called over her waitress and explained that I wanted to buy the girl and her friend's __11__ but I also told her not to tell her it was me. I also __12__ the waitress a note to give to the girl.The note __13__ as follows：“Someone today thought you were beautiful; someone today thought your smile glowed with __14__；someone today thought your eyes __15__up the world; someone today cared about you and wanted you to know this. Enjoy the rest of your day, pretty young lady. ”About 15 minutes later, the young girl asked for her __16__ and I watched as she was told it was paid for. She asked why? Who? What for? The waitress simply handed her the note and __17__ to her the gentleman who did it left.I watched as she slowly read the note. Her eyes filled with tears for only a moment, and then came the smile! A huge, beautiful, __18__ smile! She lit up the room and then sat up straight, not __19__ who saw her. Her friend also beamed.It's not how we look or what we have; it's not our houses or how many cars we have; nor is it how much money we can earn. It's all about how much we care and what we do, even though it's making someone feel __20__ only for a moment.1．A. searching B. hoping C. looking D. waiting 2．A. spend B. take C. cost D. consume 3．A. hidden B. lost C. focused D. sighted 4．A. falling in B. falling downC. falling outD. falling behind5．A. easy B. good C. tough D. great6．A. sank B. ached C. harmed D. puzzled7．A. ideas B. views C. trouble D. pain8. A. left B. deserted C. buried D. valued9．A. dream B. hope C. energy D. wish10．A. struck B. happened C. occurred D. hit11．A. meal B. lunch C. tea D. breakfast 12．A. handed B. presented C. provided D. brought 13．A. told B. indicated C. read D. wrote14．A. anger B. fear C. tiredness D. excitement15．A. tore B. lit C. cheered D. lifted16．A. service B. money C. check D. share 17．A. informed B. explained C. warned D. reminded18．A. peaceful B. hopeful C. desperate D. forced19．A. knowing B. caring C. risking D. ignoring 20．A. pretty B. comfortable C. relaxed D. relieved专练(二)夹叙夹议(四)Cloze 7(2017·深圳调研)I've read lots of stories about family memories. In those __1__，I've found voice of sadness and longing. It's true that so much in our daily lives makes us __2__ all the time. We find ourselves with less and less time to spend with our __3__ and friends. I've had the same __4__ myself.I used to have __5__ times with my grandfather when we lived together. When I was very young, I often enjoyed spending time in his __6__，watching the flowers and watering the fruit trees. But as I grew up, I __7__ became “selfish”．Once, when I was 6, we went shopping together. As we took the wrong bus and ended up getting __8__，unable to find our way back, I couldn't stay __9__ and shouted rudely in his face. I was so stubborn that I wouldn't say sorry __10__ returning home, thinking I had done nothing wrong.Now I __11__ how ridiculous(荒唐的) I was at the time! And I also realize how __12__ it was when I finally admitted I was __13__！When I truly wanted to express my __14__，my grandfather had left us __15__，leaving me with no more chance to __16__ my mistake. I couldn't __17__ say to him the three words—“I am sorry”．We are spending more and more time outside, with less and less time to __18__ with our families at home. So __19__ the most of every second you have with your loved ones, because time __20__ going, waiting for no one.1．A. books B. stories C. reports D. films2．A. crazy B. easy C. busy D. angry3．A. families B. classmates C. colleagues D. employers4．A. adventure B. research C.exploration D. experience5．A. good B. hard C. sad D. bitter6．A. kitchen B. garage C. house D. garden7．A. frequently B. rarely C. gradually D. finally8．A. confused B. lost C. hurt D. puzzled9．A. calm B. awake C. firm D. happy10．A. while B. unless C. until D. after11．A. learn B. imagine C. realize D. agree12．A. early B. late C. nice D. guilty13．A. innocent B. nervous C. wrong D. painful14．A. concern B. worry C. opinion D. regret15．A. forever B. somehow C. alone D. instead16．A. care about B. apologize for C. think of D. put away17．A. again B. often C. even D. still18．A. spare B. save C. take D. kill19．A. follow B. receive C. divide D. make20．A. needs B. keeps C. delays D. stopsCloze 8(2017·临沂模拟)A lovely little girl was holding two apples with both hands. Her mum came in and __1__ asked her little daughter with a smile, “My sweetie, could you give your mum one of your twoapples？” The girl looked __2__ at her mum for some seconds, then she suddenly took a quick __3__ on one apple, and then quickly on the other.The mum felt the smile on her face __4__. She tried hard not to show her __5__. Then the little girl handed one of her __6__ apples to her mum, and said, “Mummy, here you are. This is the __7__ one.”No matter who you are, how experienced you are, and how knowledgeable you think you are, always __8__ judgment. Give others the privilege to __9__ themselves. What you see may not be the __10__. Never conclude for others, which is why we should never only __11__ the surface and judge others without understanding them __12__.Those who like to pay the bill, do so not because they are loaded, but because they value __13__ above money.Those who __14__ first after a fight, do so not because they are wrong but because they value the people around them.Those who often text you, do so not because they have __15__ better to do but because you are in their heart.One day, all of us will get __16__ from each other; we will miss our conversations of everything & nothing; the __17__ that we had. Days will pass by, months, years, __18__ this contact becomes rare... One day our children will see our __19__ and ask “Who are these people？”And we will smile with invisible tears because a heart is touched with a strong word and you will say，“__20__ WAS THEM THAT I HAD THE BEST DAYS OF MY LIFE WITH.”1．A. quickly B. softly C. curiously D. sadly2．A. up B. down C. out D. around3．A. look B. taste C. bite D. try4．A. remain B. rise C. speed D. freeze5．A. satisfaction B. disappointment C. amusement D. confusion6．A. rotten B. deserted C. split D. bitten7．A. sweeter B. bigger C. fresher D. juicier8．A. offer B. delay C. stop D. pass9．A. criticize B. reflect C. explain D. introduce10．A. result B. purpose C. attempt D. reality11．A. work out B. hold up C. focus on D. give up12．A. first B. last C. wrong D. little13．A. friendship B. material C. bill D. surface14．A. sacrifice B. suffer C. survive D. apologize15．A. something B. nothing C. everything D. anything16．A. lost B. retired C. separated D. divorced17．A. talks B. argument C. dreams D. contradict18．A. until B. when C. though D. after19．A. articles B. stories C. telephones D. pictures20．A. WHAT B. IT C. THAT D. SUCHCloze 9(2017·吉林长春高三质量监测二)The other evening we had a knock at the door. It was a new __1__ who introduced himself and his boys to us. He also __2__ us to a block party as a way to know the people in the neighborhood as well as celebrating the first anniversary of his two __3__ sons coming to live with him.We've lived here for almost six years and __4__ has ever cometo introduce themselves. I suppose we should have __5__ it on to introduce ourselves to people moving in, but we haven't. In my opinion, it took the initiative (首创) of a young __6__ and his adopted sons to show me how I could__7__ better attention to my own community. We have many __8__ friends but I have to admit that I haven't usually been the one to develop the __9__ in my own neighborhood.This experience __10__ me of one of my favorite quotes, “When I was a young man, I wanted to change the world. I found it was __11__ to change the world, so I tried to change my nation. When I found I couldn't change the nation, I began to __12__ my town. I couldn't change the town and as a(n) __13__ man, I tried to change my __14__. Now, as an old man, I __15__ the only thing I can change is myself, and __16__ I realize that if long ago I had changed myself, I could have made an impact(影响) on my family and __17__ on my town. The impact could have changed the nation and I could __18__ have changed the world.”For those of us who want to make a(n) __19__ in the world, it's important we remember “Think globally, but __20__ locally.” For me, I'm going to make it a point to meet more of my neighbors—starting now.1．A. stranger B. classmate C. beggar D. neighbor2．A. invited B. commanded C. persuaded D. encouraged3．A. adopted B. accepted C. adapted D. annoyed4．A. anyone B. someone C. everyone D. no one5．A. put B. made C. taken D. turned 6．A. student B. man C. woman D. mother7．A. draw B. lose C. pay D. offer8．A. foreign B. local C. old D. rich 9．A. trouble B. friendship C. concern D. business10．A. reminded B. told C. warned D. convinced11．A. difficult B. easy C. interesting D. right12．A. make out B. concentrate on C. get into D. refer to13．A. smarter B. younger C. older D. taller14．A. state B. family C. town D. mind15．A. explain B. forget C. realize D. regret 16．A. happily B. suddenly C. actually D. luckily17．A. merely B. still C. only D. even 18．A. indeed B. hardly C. never D. seldom 19．A. decision B. difference C. apology D. mistake20．A. behave B. act C. move D. operate专练(二)夹叙夹议(一)Cloze 1语篇解读：本文是一篇夹叙夹议文。

6月2日 周末培优高考频度：★★★★☆难易程度：★★★☆☆如图所示，质量均为m 的a 、b 、c 、d 四个带电小球，其中a 、b 、c 三个完全相同的小球的带电量值均为q （电性未知），且位于光滑绝缘的水平面内的同一圆周上绕O 点做半径为R 的匀速圆周运动，三个小球等分整个圆周。

带电量值为10q （电性未知）的小球d 位于O 点的正上方R 处，且在外力作用下恰好处于静止状态。

重力加速度为g ，静电力常量为k 。

则下列说法中正确的是A ．a 、b 、c 、d 四个小球带电量的总和可能为–7qB ．外力的大小为+mg ，方向竖直向上C ．小球a 的角速度为D ．小球b 的动能为【参考答案】ABC【试题解析】a 、b 、c 三个完全相同的小球绕O 点做半径为R 的匀速圆周运动，可知三个小球带的电性与d 球相反，则a 、b 、c 三个小球可能各带+q 的电荷，d 带–10q 的电量，总电量为–7q ，选项A 正确；三个小球与d 点连线与竖直方向的夹角；对d 球受力分析，由平衡知识可知：2103cos (2)q q F mg kmg R α⋅=+=+错误！未找到引用源。

，方向竖直向上，选项B 正确；对球a ：2210sin 2(2)q q kk m R R αω⋅-︒=错误！未找到引用源。

，解得，选项C 正确；小球b 的动能为2222k 11(152224b b q R E mv m R kω-===错误！未找到引用源。

，选项D 错误；故选ABC 。

【名师点睛】本题与圆锥摆类似，关键要正确分析四个小球受力，确定向心力的来源是关键。

运用牛顿第二定律和平衡条件研究。

如图所示，三个完全相同的金属小球a 、b 、c 位于等边三角形的一个顶点上。

a 和c 带正电，b 带负电，a 所带电量的大小比b 的小，已知c 受到a 和b 的静电力的合力可用图中四条有向线段中的一条来表示，它应是A ．1FB ．2FC ．3FD ．4F真空中有两个点电荷Q 1和Q 2，它们之间的静电力为F ，下列做法可以使它们之间的静电力为4F 的是 A ．使Q 1的电量变为原来的2倍，同时使它们的距离变为原来的2倍 B ．使每个电荷的电量都变为原来的2倍，距离变为原来的2倍 C ．保持它们的电量不变，使它们的距离变为原来的一半D如图所示，在光滑绝缘水平面上有三个孤立的点电荷Q 1、Q 、Q 2，其中Q 恰好静止不动，Q 1、Q 2围绕Q 做匀速圆周运动，在运动过程中三个点电荷始终共线。

诸暨市2017—2018学年第二学期期末考试试题高一数学第Ⅰ卷（选择题，共30分）一、选择题（每小题3分，共30分）1. 已知(2,4), (1,1)a b =−=，则()a a b ⋅−= （ ▲ ） A ．6 B ．6− C ．18 D ．18−2. 直线l 的方程为330x y −+=，则l 的倾斜角为 （ ▲ ）A ．6π B ．3πC ．23πD ．56π3. ABC ∆中，,,A B C 所对的边分别是,,a b c ，若,,234A B a ππ===，则b = （ ▲ ）A ．2B ．3C ．263D ．2334. 设等比数列{}n a 的公比2q =，前n 项和为n S ，则42Sa = （ ▲ ）A ．172B ．152C ．4D ．25. 已知圆22:40C x y x +−=，l 过点(3,1)P 的直线，则 （ ▲ ） A ．l 与C 相交 B ．l 与C 相切C ．l 与C 相离D ．以上三个选项均有可能6. 已知||||1a b ==，向量a 与b 的夹角为60，则|34|a b −= （ ▲ ） A ．5 B ．19 C ．32 D ．137. 在ABC ∆中，角,,A B C 所对的边分别是,,a b c ，若22265b c a bc +−=，则sin()B C +=（ ▲ ） A ．45− B ．45 C ．35− D ．358. 已知数列{}n a 不是常数列，前n 项和为n S ，下列描述中，错误的是 （ ▲ ） A ．若数列{}n a 为等差数列，0n S >恒成立，则{}n a 单调递增 B ．若数列{}n a 为等差数列，则nS n也成等差数列 C ．若数列{}n a 为等比数列，则201920190S a ⋅>恒成立 D ．若数列{}n a 为等比数列，则{}2na 也为等比数列9. 如图，圆12, C C 在第一象限，且与x 轴、直线m 均相切， 圆心都在直线34y x =上，当圆12, C C 相外切时，记圆 12, C C 的面积分别为12, S S ，则12:S S =（ ▲ ）A ．1:2B ．1:4C ．1:9D ．1:1610.在ABC ∆中，8AB AC ==，D 在线段AC 上，6AD =，若ABC ∆的外心O 在线段BD 上，则cos A = （ ▲ ） A.14 B.15 C.16 D.17第Ⅱ卷（非选择题，共90分）二、填空题（本大题有7个小题，单空题每题4份，多空题每题6分，共36分） 11. 圆22:230C x y x ++−=的圆心坐标为 ▲ ；半径是 ▲ . 12. 设直线1:(1)320l a x y a +++−=，直线2:2(2)10l x a y +++=，若12l l ⊥，则实数a 的值为 ▲ ；若12//l l ，则实数a 的值为 ▲ .13. 在古巴比伦泥板（公元前2000年—前1000年）有这样一个数学问题：10兄弟分100个金币，哥哥比弟弟依次多分. 已知每一个级差相等，还知道老八分得6个金币（每个人分得的金币可以是分数）. 问：老三应该得 ▲ 金 币，老大比老二多 ▲ 个金币. 14. 如图，2, 2, 2AB AC BC BC CD ====，则AD = ▲ .15. 数列{}n a 的首项111, 1(N*)n n a a a n n +==++∈，则{}n a 的通项公式n a = ▲ ； 若1n a ⎧⎫⎨⎬⎩⎭的前n 项和为n S ，则2018S = ▲ . 16. 如图，已知ABC ∆为等腰直角三角形，||||4AB BC ==，光线从点(1,0)P 出发，到AC 上一点Q ，经直线AC 反射 后到AB 上一点R ，经AB 反射后回到P 点，则Q 点的坐 标为 ▲ .17. 已知单位向量OA 与OB 的夹角是钝角，当R t ∈时，||OA tOB −的最小值为32，若OC = 2(1)OA OB λλ+−，其中R λ∈，则CO CB ⋅的最小值为 ▲ .三、解答题 （本大题共5小题，共54分.解答应写出文字说明、证明过程或演算步骤.） 18.（本题满分10分）在ABC ∆中，,,a b c 分别为角,,A B C 的对边，且满足4sin 5A =，3AB AC ⋅=.（1）求ABC ∆的面积S ； （2）若6b c +=，求a 的值.19.（本题满分10分）如图，梯形ABCD ，//AB CD ，122AD DC CB AB ====，,E F 分 别是, BC BD 的中点，AE 与BD 相交于G . （1）以, AB AD 为基底，表示, AF AE ； （2）若, AG AE DG DB λμ==，求λμ+的值； （3）求AG AB ⋅.20.（本题满分10分）已知等比数列{}n a 的公比为q ，等差数列{}n b 的公差为d ，若14a ，22a ，3a 成等差数列，且131, a b d q ===.（1）求{}n a ，{}n b 的通项公式； （2）求{}n n a b ⋅的前n 项和.21.（本题满分12分）如图，在平面直角坐标系中，O 为坐标原点，点(0,2), (0,1)A B −，直线:6l y x =−.设动圆C 的半径为2，圆心C 在直线l 上.（1）过O 作圆C 的切线OT ，切点为T . ①求||OT 的最小值；②若||4OT =，且圆心横坐标小于3，求OT 方程. （2）若动圆C 上存在点M ，使得||2||MA MB =，求动圆圆心C 的横坐标的取值范围.22.（本题满分12分）已知数列{}n a 满足：111, 1(1)(N*)n n n a a a n a n ++==++−∈.（1）求23, a a 的值；（2）若246, , a a a 成等差数列， ①求数列{}n a 的通项公式；②记数列{}n a 的前n 项和为n S ，是否存在N *n ∈，使得2(N*)2nS n ∈是数列{}n a 中的项，若存在，则n 可能取哪些数？若不存在请说明理由.54,544,4121=====λAE GE AG AB DC FE 2017—2018学年第二学期期末考试试卷高一数学参考答案一、选择题1.C2.A3.C4.B5.A6.D7.B8.D9.D 10.C 二、填空题 11. 2);0,1(−12.458−−；13.5814；14. 515. 10092017;2)1(+n n 16. )815,817(17. 71−三、解答题： 18.（本题满分10分）解：（1）53cos ,54sin ±=∴=A A ……………………1' 又5,53cos ,3cos ==∴==⋅bc A A bc AC AB ……………………2'254521sin 21=⨯⨯==∴∆A bc S ABC ……………………2'（2）由6=+c b 得 A bc c b a cos 2222−+=……………………1' )cos 1(2)(2A bc c b +−+=……………………2' 20)531(1036=+−=……………………1' 52=a ……………………1'19.（本题满分10分） 解：（1）)(21AD AB AF +=……………………1' 2214321)(21'+=++=+= AD AB DC AD AB FE AF AE（2）11337(),,210555DG DB DB μλμ=+==+= ……………………1+2'（3）由已知可得3π=∠DAB ……………………1'4431()5542AG AB AE AB AB AD AB ⋅=⋅=+⋅……………………2'556585485253=+=⋅+⋅AB AD AB AB ……………………1' 法二： 5564)214(5454=⋅−=⋅AB AE20.（本题满分10分）解：（1）244,2,1q q q '+==12−=∴n n a 1'311,123,32(1)252n b b d b n n '==−=−=−+−=−（2）12)52(2)1(13−⨯−++⨯−+⨯−=n n n Sn n n n n S 2)52(2)72(2)3(1321⨯−+⨯−++⨯−+⨯−=− ………………1'3)242(22)52(1++++−⋅−=−n n n n S ……………………2'3)22(22)52(+−−⋅−=n n n ……………………2' 72)72(+⋅−=n n ……………………1'21.（本题满分12分）解：（1）①设C 点坐标为)6,(−t t则222||||4(6)4OT OC t t =−=+−−222(616)2[3)7]t t t =−+=−+……………………2'当=t 3时，||OT 有最小值14.……………………1' ②由4OT =得2225(6),2OC t t t ==+−=……………………1'若切线斜率存在，设方程为y kx =，则22432,41k k k +==−+……………………2'若切线斜率不存在，切线过原点，方程0x =……………………1' （2）设])1([4)2(),,(2222++=−+y x y x y x M 则 化简得,4)2(22=++y x ……………………2'圆C 的方程为4)6()(22=+−+−t y t x 两圆有公共点，则圆心距不大于半径和,16)4(22≤−+t t ……………………2'0 4.t ≤≤……………………1'22.（本题满分12分）解：（1)a a a +=−+=2)1(212221)2(3)1(3233'−=+−=−+= aa a a（2）a a a a a a =−−=−=+=)5(5,5453466.a a =+由2a 、、a 4 6a 成等差数列得21,62210=+++=−a a a a ……………………1' ① 此时135111, , ,,222a a a === 猜想2112=−n a ……………………1' ]2[)12(1212212n a n a n a n n n +−+=−+=−+.112−−=n a所以,11212=++−n n a a 因为.211,,21211,21211,213212531=−==−==−=∴=−−n n a a a a a ……2' 又,2122−+=n n a n a 所以.2122+=n a n 数列的通项公式为1,21,2n n a n n ⎧⎪⎪=⎨⎪+⎪⎩是奇数是偶数 ……………………1' ②)()()(21243212n n n a a a a a a S ++++++=−)21221()21421()21221(+++++++++=n n n 22+=……………………1'n n S n +=2222显然2122>n S ，即不可能是数列}{n a 中的奇数项；……………………1' 若22nm S a =（m 是偶数） 则m m n n m n n (242,12222+=++=+为偶数）……………………1'n ∴只能是偶数，设,2k n =则24442+=+m k k ,12222+=+m k k ，这是不可能成立的.所以不存在这样的n ，使得22nS 是数列}{n a 中的项.……………………2'。

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