2017-2018学年黑龙江省牡丹江市第一高级中学高一上学期期末考试英语试题

黑龙江省牡丹江市第一高级中学2018-2019学年高一上学期期末考试化学试题1. 下列物质，既能与盐酸反应又能与氢氧化钠溶液反应的是A. AlCl3B. Al(OH)3C. KOHD. HCl【答案】B【解析】试题分析：A．AlCl3能与氢氧化钠溶液反应，不与盐酸反应，A项不符合；B．氢氧化铝是两性氢氧化物，能与盐酸反应生成氯化铝与水，与氢氧化钠反应生成偏铝酸钠与水，B项符合；C．KOH与盐酸反应生成氯化钾与水，不能与氢氧化钠反应，C项不符合；D．HCl与氢氧化钠溶液反应生成氯化钠和水，不能与盐酸反应，D项不符合；答案选B。

【考点定位】考查物质的性质。

【名师点睛】本题考查物质的性质，难度不大，旨在考查学生对知识的理解识记与归纳总结能力，平时应注意基础知识的积累。

中学常见的既能与酸反应又能与碱反应的物质主要有：①两性物质：Al2O3、ZnO、Al(OH)3、Zn(OH)2、氨基酸、蛋白质等；②多元弱酸的酸式盐：NaHCO3、KHS、KHSO3、NaH2PO4等；③弱酸的铵盐及其酸式盐：（NH4）2S、NH4HS、（NH4）2CO3、NH4HCO3、CH3COONH4等；④某些具有两性的金属：Zn、Al等；⑤某些非金属：Si、S等；⑥其它一些物质．如：a、某些盐类物质既与酸反应，又与碱反应；b、个别酸性氧化物SiO2；c、具有还原性的无氧酸：H2S、HI等与氧化性酸反应、与碱反应；d、具有氧化性酸：浓H2SO4、HNO3等与还原性酸反应、与碱反应，以此解答本题。

2.我国已跨入“互联网+”时代，而“互联网+”的建设离不开无机非金属材料硅。

下列物品中用到硅单质的是（）A. 陶瓷餐具B. 石英钟表C. 计算机芯片D. 光导纤维【答案】C【解析】A.陶瓷餐具是硅酸盐产品,主要成分为硅酸盐,故A错误;B.石英主要成分为二氧化硅,不是单质硅,故B 错误;C.硅单质是半导体材料,可以制计算机芯片,所以C选项是正确的;D.光导纤维成分为二氧化硅,是硅的氧化物,不是单质硅,故D错误; 所以C选项是正确的.3.下列有关物质的性质与用途不对应的是( )A. 铝合金的密度小，硬度大，可用作建筑材料B. 食品工业中用Na2CO3作焙制糕点的膨松剂C. FeCl3溶液能与Cu反应，可用于腐蚀铜制印刷电路板D. 明矾能生成Al(OH)3胶体，可用作净水剂【答案】B【解析】【详解】A．铝合金的密度小，硬度大，具有优良的性能，则可用作建筑材料，A正确；B．Na2CO3的碱性较强，一般选NaHCO3作焙制糕点的膨松剂，B错误；C．FeCl3溶液能与Cu反应生成氯化铜、氯化亚铁，则可用于腐蚀铜制印刷电路板，C正确；D．明矾溶于水能水解生成Al(OH)3胶体，可用作净水剂，D正确；答案选B。

牡一中2018级高一学年上学期10月摸底考试英语试题本试卷共150分答题时间120分钟第一部分单项选择（共10小题，每小题1分，满分10分）。

1.For all the professional athletes, ____ to the Olympics means that they have a chance to enter the history books.A. approachB. methodC. wayD. access【答案】D【解析】试题分析：考查名词。

A. approach 方法，途径，接近；B. method方法；C. way方法，道路； D. access进入；使用权；通路。

意思是对专业运动员而言，进入奥林匹克运动会意味着他们有载入史册的机会。

故选D。

考点：考查名词2.Since she’s fully _______ with her work, you’d better talk with her later.A. abandonedB. concentratingC. occupiedD. devoted【答案】C【解析】【详解】考查动词词义。

句意：既然她正忙于自己的工作，你最好晚一点找她谈话。

A. abandoned 遗弃；B. concentrating集中；C. occupied占用；D. devoted奉献。

本句为be occupied with 忙于，故选C。

3.Seeing the happy _____ of children playing together there, I'm full of joy and hope for the future of our country.A. sceneryB. sightC. sceneD. view【解析】【详解】考查名词。

句意：看见孩子们在一起快乐玩耍的场景，我很高兴，对我们国家的未来充满希望。

牡一中上学期期末测试高一英语试题本试卷分第I卷和第II卷两部分，满分150分，考试时间120分钟第I卷（三部分，共115分）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秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What will the man do this weekend?A. Stay at home.B. Go fishing.C. Go boating.2. What does the man think of John?A. Hard working.B. Lazy.C. Active.3. Who looked after the woman?A. The man.B. Mary.C. Herself.4. What will the woman do?A. She will take the book home.B. She allows the man to take the book home.C. She will have to read the book in the office.5. What about Tom and Jack?A. They had watched a football match.B. They had finished their homework.C. They are watching a football match.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, 并标在试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

牡一中2017级高一学年4月月考试题数学试题一、选择题（本大题共有12个小题，每小题5分，共60分，在每小题给出的四选项中只有一项是符合题目要求的。

）1. 已知数列满足，且，那么（）A. B. C. D.【答案】C【解析】是公差为2，的等差数列，本题选择C选项.2. 在中，已知，则（）A. B. C. 或 D.【答案】D【解析】由余弦定理,故选D.3. 设为数列的前项和，且，则 ( )A. B. C. D.【答案】C【解析】由题得，两式相减得故选C.4. 在中，已知，则的值为（）A. B. C. D.【答案】A【解析】在中，由正弦定理得，即，所以．本题选择A选项.5. 已知等比数列中，，则该数列的公比为 ( )A. 2B. 1C.D.【答案】D【解析】试题分析：考点：等比数列性质6. 已知在中，，那么这个三角形的最大角是（）A. B. C. D.【答案】C【解析】由正弦定理可知,所以c边最长，为最大角，设，，又因为，所以，选C.7. 设等差数列的前项和为，若，则（）A. B. C. D.【答案】C【解析】由等差数列前项和的性质可知，，，成等差数列，∵，，∴，即．本题选择C选项.8. 在中，所对的边分别为，已知，那么这个三角形一定是（）A. 等腰三角形B. 等边三角形C. 直角三角形D. 等腰直角三角形【答案】A【解析】在△ABC中，∵cosC=，∴a=2bcosC=2b•，∴a2=a2+b2﹣c2，∴b=c，∴此三角形一定是等腰三角形．故选A.9. 若是等差数列，首项，则使前项和成立的最大自然数是 ( )A. 2 012B. 2 013C. 2 014D. 2 015【答案】C【解析】试题分析：由,知与异号,又,显然是的递减数列,否则恒为正值,所以,结合等差数列前项和公式可得,要得到成立的最大自然数,须使得,因为,所以.故正确答案为选项C.考点：等差递减数列前和的正负与项间关系；逻辑推理能力；不等式的应用.10. 在中，是的中点，，则等于( )A. B. C. D.【答案】B【解析】设，则选B.点睛：解三角形问题，多为边和角的求值问题，这就需要根据正、余弦定理结合已知条件灵活转化边和角之间的关系，从而达到解决问题的目的.其基本步骤是：第一步：定条件，即确定三角形中的已知和所求，在图形中标出来，然后确定转化的方向. 第二步：定工具，即根据条件和所求合理选择转化的工具，实施边角之间的互化.第三步：求结果.视频11. 设，则数列前项和最大时的值为 ( )A. 9B. 10C. 9或10D. 12【答案】C【解析】a n=﹣n2+9n+10=﹣（n﹣10）（n+1），∵{a n}的前n项和S n有最大值，∴S n≥S n+1，得a n+1≤0，即﹣[（n+1）﹣10][（n+1）+1]≤0，解得n≥9，易得a8=18，a9=10，a10=0，a11=﹣12，则S9=S10最大，此时n=9或10．故选C．12. 已知不等式对一切正整数恒成立，则实数的范围为( )A. B. C. D.【答案】B【解析】∵，所以不等式对一切正整数恒成立化为＞，所以＞，因为是增函数，所以的最小值是，∴log2（a﹣1）+a﹣，所以4﹣a＞log2（a﹣1），所以4＞a+log2（a﹣1），所以因为是增函数（增+增=增），观察选项所以1＜a＜3,故选B.二、填空题（本大题共有4个小题，每小题5分，共20分）13. 在中，角所对的边分别为，若，则___________．【答案】【解析】由及余弦定理，可得cosB=．∵0°＜B＜180°．∴B=150°．故选B.14. 已知数列中，，则____________．【答案】【解析】所以，故填.15. 太湖中有一小岛，沿太湖有一条正南方向的公路，一辆汽车在公路处测得小岛在公路的南偏西的方向上，汽车行驶到达处后，又测得小岛在南偏西的方向上，则小岛到公路的距离是________ .【答案】【解析】如图所示，过C作CD⊥AB，垂足为D，∠A=15°，∠CBD=75°，AB=1km，△ABC中，BC=，△CBD中，CD=BCcos15°==km．故填．16. 在如下数表中，已知每行、每列中的数都成等差数列，那么位于表中的第行第列的数是____．【答案】【解析】第n行第一列数为n，第n行从左到右依次成等差数列，公差为n，所以第n行第n+1列的数是三、解答题（本大题共有6个小题，共70分，解答应写出文字说明、证明过程或演算步骤）17. 已知等差数列中，，求的前项和．【答案】或 .【解析】试题分析：利用等差数列的性质或基本量求得数列的通项公式.试题解析：解:法1:由已知和等差数列的性质得,解方程组得,或.公差,则法2 :由已知及等差数列的性质得,则设是方程的解,同法1. 法3（基本量法）由已知得，解得，或，则18. 在中，．（1）求的值．（2）求的值．【答案】（1），；（2）.............试题解析：（）由和得，∴，又，∴，．（）∵，，，∴由余弦定理得，∴，由正弦定理可知，即，∴．19. 已知数列的公差不为零的等差数列，，且，，成等比数列．（1）求数列的前项和．（2）若数列满足，求数列的前项和．【答案】（1）；（2）.【解析】试题分析：（）由题意可得，据此得到关于公差的方程，解方程可得，则数列的通项公式为，前项和．（）由（）知，据此错位相减计算可得．试题解析：（）设等差数列的公差为，∵，，成等比数列，∴，即，解得，(d=0舍去)∴数列的通项公式，数列的前项和．（）由（）知，∴，①，②②①得，，，，．∴．点睛：一般地，如果数列{a n}是等差数列，{b n}是等比数列，求数列{a n·b n}的前n项和时，可采用错位相减法求和，一般是和式两边同乘以等比数列{b n}的公比，然后作差求解．20. 如图所示，在中，，点在边上，且 .（1）求；（2）求的长．【答案】（1）；（2）.【解析】试题分析：（I）在中，利用外角的性质，得即可计算结果；（II）由正弦定理，计算得，在中，由余弦定理，即可计算结果．试题解析：（I）在中，∵，∴∴（II）在中，由正弦定理得：在中，由余弦定理得：∴考点：正弦定理与余弦定理．视频21. 在锐角中，角所对的边分别为，已知向量，，且.（1）求角的大小；（2）求的取值范围.【答案】（1）；（2）.【解析】试题分析：（1）第（1）问，先由化简得到，再解方程得到角的大小.(2)第（2）问，先求出，再利用三角函数的图像和性质求出的取值范围.试题解析：（1），，，，（2）.点睛：求的取值范围，常用函数的方法，先通过化简得到函数的解析式，再求函数的定义域，最后求函数的取值范围.函数的思想是高中数学非常重要的数学思想，要理解掌握灵活运用.22. 已知各项都是正数的数列的前项和为，，.（1）求数列的通项公式；设数列满足：，，求数列的前项和；（2）若对任意恒成立，求的取值范围.【答案】（1），；（2）.【解析】试题分析：（1）第（1）问，先利用项和公式求出数列的通项公式，再利用累加法求数列的通项，再用裂项相消求数列的前项和. (2)第（2）问，先分离参数得到，再利用基本不等式求的取值范围.试题解析：（1）时，，，是以为首项，为公差的等差数列 .因为，所以，，（2）当且仅当时，有最大值， .点睛：本题有三个常用的技巧，一是如果已知，一般利用项和公式求数列的通项，二是对于形如的数列常用裂项相消对数列求和，三是求参数的范围常用分离参数法.这些都是数列里面常用的技巧，大家要理解掌握和灵活运用.。

2022-2023高三上英语期末模拟试卷请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

写在试题卷、草稿纸上均无效。

2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。

第一部分（共20小题，每小题1.5分，满分30分）1．Newly-built wooden cottages line the street，___________ the old town into a dreamland.A．turned B．turningC．to turn D．having turned2．Molly finally agreed, _____ reluctantly, to go and see a doctor.A．afterwards B．almostC．otherwise D．somewhat3．—Would you like me the radio a bit?—No, it’s all right. I’m used with the radio .A．to turn down; to work; on B．turning down; to working; on C．turning down; to working; off D．to turn down; to working; on4．Parents often tell their children that they __________ take candy from strangers. A．needn't B．wouldn't C．shouldn't D．daren't5．— Peter, you seem in high spirits.— ________ I have been offered a part-time job in the KFC .A．So what? B．No wonder.C．No doubt. D．Guess what.6．Whitney Houston’s sudden death suggests that drug abuse is such a serious problem ________ we should deal with it appropriately.A．as B．that C．which D．where7．What I love most about reading novels is ______ the authors vividly describe the characters.A．what B．whyC．how D．whom8．Paula waited until all the luggage was cleared, __________ hers never appeared. A．or B．so C．as D．but9．Daniel’s family ________ their holiday in Huangshan this time next week.A．are enjoying B．are to enjoy C．will enjoy D．will be enjoying10．Thanks for your useful advice; otherwise I ______ such rapid progress.A．didn’t make B．couldn’t have madeC．hadn’t made D．shouldn’t have made11．Don't give up half way, and you will find the scenery is more beautiful when you reach the destination than when you _______.A．start off B．have started offC．started off D．will start off12．— Do you know anything about British history?—______________. I have no interest in it.A．Take it easy! B．Please don’t bother.C．It’s up to you. D．No. It’s beyond me.13．It seems late to say anything. We probably ______ it if we had made an offer sooner. A．would have got B．would getC．had got D．got14．—Pity you missed George's wedding.—Well, I ________.A．haven't been invited B．wouldn't be invitedC．hadn't been invited D．am not invited15．—How are you getting along with your German, Kate？—Oh, Mr．Black, I’m so ti red of it．Maybe I should drop out _____ it kills me．A．when B．after C．while D．before16．The security judge was very _________ when she explained that the driving licence was necessary for her work .A．reasonable B．natural C．ridiculous D．available17．—What a mess! You are always so lazy!—I’m not to blame, mum. I am ________ you have made me.A．how B．what C．that D．who18．Someone called me up at midnight, but he had hung up I could answer the phone.A．as B．sinceC．until D．before19．Tom’s score on the test is the highest in the class. He _____.A．should study last nightB．should have studied last nightC．must have studied last nightD．must study last night20．___________the effect of culture shock, he is trying to read a lot about it before going to France for further study.A．To reduce B．ReducedC．Reducing D．Having reduced第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

高一年级下学期月考试题英语试题2018.6第Ⅰ卷（满分100分）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）请听下面5段对话，选出最佳选项。

1．What will the woman do next?A．Help the man. B．Finish her homework. C．Watch a program.2．What does the woman mean?A．It’s too cold this winter.B．Cold beer is harmful to health.C．The man should drink less beer.3．How much does the man have to pay?A．$90. B．$162. C．$180.4．Why does the man have so many clocks?A．He has trouble getting up. B．He often forgets about time.C．He likes collecting clocks.5．What can we infer about the speakers?A．They’ve known each other.B．They’re having coffee together.C．They think the coffee shop too small.第二节（共15小题；每小题1.5分，满分22.5分）请听下面1段对话或独白，选出最佳选项，回答第6、7题。

6．What does the woman offer to do for the man?A．Call his boss. B．Prepare for his trip. C．Record the program.7．What will the man do tomorrow?A．Go on a business trip. B．Attend a meeting. C．Take a vacation.请听下面1段对话或独白，选出最佳选项，回答第8、9题。

【全国百强校】黑龙江省牡丹江市第一高级中学2020-2021学年高一上学期期中考试英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择1．Tom is ________ that we all trust him.A．so honest a boy B．such honest a boyC．such a honest boy D．so an honest boy2．In ______ 1940s, in ________twenties, my grandfather had to move to the northeast of China to make _________ living.A．the; the ; a B．the; his; theC．the; his; a D．a; his; the3．The _____look on Sam’s face suggested that the news must be ________. A．disappointed; disappointed B．disappointing; disappointing C．disappointed; disappointing D．disappointing; disappointed4．The committee ______five members, _____one elderly and two middle-aged comrades. A．is consisted of; containing B．consists of; includingC．consists in; includes D．consists of; containing5．______ great fun it is to have a swim on such a hot day!A．How B．How aC．What D．What a6．The scenery along Chengfeng Lake is beautiful beyond________.A．description B．statementC．praise D．introduction7．It was dark. We decided to ______ for the night at a farmhouse.A．put away B．put downC．put up D．put on8．According to the timetable, the plane for Shanghai ______ at 2 p.m.A．will leave B．leavesC．is left D．has left9．This is the first time I ______Tian’anmen Square.You can’t imagine how excited I am. A．have visited B．am visitingC．visit D．visited10．She didn’t feel like ____, so he suggested___ the day in the garden.A．working; spending B．to work; to spendC．working; to spend D．to work; spending11．Alice, as well as two boys , _______for having broken the rule.A．was punished B．punishedC．were punished D．are punished12．Most of the artists ________ to the party were from South America.A．invited B．invitingC．have invited D．had invited13．Almost________ of the students in this class wear glasses, that is ________of them. A．two thirds; 60 percent B．two thirds; 60 percentsC．two third; 60 percent D．two thirds; 60 percents14．With a lot of difficult problems ________, the newly-elected president is having a hard time.A．settled B．settlingC．to settle D．being settled15．This box is ______ that one. Which of the following is wrong?A．four times so big as B．four times the size ofC．four times bigger than D．one fourth as big as二、阅读选择Welcome to Adventureland!Everyone loves Adventureland! The Parks and Exhibitions were built for you to explore (探索), enjoy, and admire their wonders. Every visit will be an unforgettable experience. You will go away enriched, longing to come back. What are you going to do this time?The Travel PavilionExplore places you have never been to before, and experience different ways of life. Visit the Amazon jungle (丛林) village, the Turkish market, the Tai floating market, the Berber mountain house and others. Talk to the people there who will tell you about their lives, and things they make. You can try making a carpet, making nets, fishing ...The Future TowerThis exhibition shows how progress will touch our lives. It allows us to look into thefuture and explore the cities of the n ext century and the way we’ll be living then. Spend some time in our space station and climb into our simulator (模拟装置) for the Journey to Mars! The Nature ParkThis is not really one park but several. In the Safari Park you can drive among African animals in one of our Range Cruisers: see lions, giraffes, elephants in the wild. Move on to the Ocean Park to watch the dolphins and whales. And then there is still the Aviary to see ...The PyramidThis is the center of Adventureland. Run out of film, need some postcards and stamps? For all these things and many more, visit our underground shopping center. Come here for information and ideas too.16．The Travel Pavilion is built to help visitors ______.A．realize the importance of travellingB．become familiar with mountain countriesC．learn how to make things such as fishing netsD．learn something about different places in the world17．If you are interested in knowing about what people’s life will be, you may visit ______. A．the Travel Pavilion B．the Future TowerC．the Safari Park D．the Pyramid18．If you want to get a toy lion to take home, where will you most likely go?A．The Pyramid. B．The Nature Park.C．The Future Tower. D．The Travel Pavilion.At a daycare center in Texas, children were playing outside. One of the children was Jessica Mc Clure. She was 18 months old. Her mother, who worked at the daycare center, was watching the children. Suddenly Jessica fell and disappeared. Jessica’s mother screamed and ran to her.A well was in the yard of the center. The well was only eight inches across and a rock always covered it. But children had moved the rock. When Jessica fell, she fell right into the well.Jessica’s mother reached inside the well, but she couldn’t feel Jessica. She dialed 911 for help. Men from the fire department arrived. They discovered that Jessica was about 20 feet down in the well. For the next hour the men talked and planned Jessica’s rescue.“We can’t go down into the well,” they said.“It’s too narrow. So, we’re going to drill a hole next to the well. Then we’ll drill a tunnel across to Jessica. When we reach her, we’ll bring her through the tunnel and up through our hole.”The men began to drill the hole at 11 a.m. on Wednesday, October 14, 1987. The men had a difficult job; they were drilling through solid rock. During her days in the well, Jessica sometimes asked for her mother. Sometimes she slept, sometimes she cried and sometimes she sang.All over the world, people waited for news of Jessica. Everyone worried about her.At 8 p.m. on Friday, October 16, men reached Jessica and brought her up from the well. She was soon sent to hospital. Jessica was dirty, hungry, thirsty and tired. Her feet and forehead were badly injured. But Jessica was alive.After Jessica’s rescue, one of the rescuers made a metal cover for the well, saying,“To Jessica, with love from all of us.”19．What is the mother’s reaction when the accident happened?A．She was so worried that she didn’t know what to do.B．She called the police for help immediately.C．She shouted and rushed to help her child quickly.D．She asked her colleagues for help.20．All of the following statements are true except _____ according to the passage. A．Children had moved the rock before Jessica fell into the well.B．Men from the fire department saved Jessica.C．Jessica was too frightened to say a word when she was in the well.D．Jessica was alive although she was injured.21．Jessica stayed in the well at least _____.A．47 hours B．48 hoursC．57 hours D．58 hours22．What may be the best title for the passage?A．911’s Work B．American ChildC．Everybody’s Baby-- Jessica D．Mother’s MistakeIf you like texting and are trying to lose weight, a new study found that using texting to track(追踪) diet and exercise habits may help you lose weight.Previous research has shown that keeping food and exercise diaries improves the likelihood of success when you are trying to lose weight. Using a computer or a pen and paper to record information, however, can be a burden and cause some people to give up.Duke University researchers said using text messages to track eating and exercise habits can save time, and increase the chances that people will stick with their weight-loss rules.The study included 26 obese women with an average age of 38. The women used daily texting as part of their weight-loss program. The text messages focused on tracking personalized goals, such as avoiding sugary drinks or walking 10,000 steps a day. Messages also provided brief feedback (回复) and tips.Every morning, the women received a text from an automated(自动的)system that said, “Please text yesterday’s personal information of steps you walked and how many sugary drinks you had.” Based on the women's responses to the text message, the system sent another text with personalized feedback and tips.After six months, the women who used daily texting lost an average of nearly 3 pounds, while another group of women who used traditional methods to keep food and exercise diaries gained an average of 2.5 pounds, according to the study, which was published in the Journal of Medical Internet Research.“Text messaging has become popular and may be an effective method to simplify tracking of diet and exercise behavior,” Dori Steinberg, who was responsible for this research, said.Steinberg said, "Text messaging offers several advantages compared to otherself-monitoring methods. Unlike web-based diet and exercise diaries, data in a text message can be entered quickly on nearly all cellphone platforms so it is very convenient to receive feedback. Besides, because of the limited number of words used in text messages, it saves time.”23．According to the study, traditional methods _________.A．are easier for people to lose weightB．may cause people to give up losing weightC．provide brief feedback and tipsD．are easy to track diet and exercise behavior24．Which is NOT true about text messaging according to Steinberg?A．It saves time.B．It saves money.C．It can be entered quickly.D．It is easy to receive feedback.25．What’s the best title for the text?A．Texting helps keep healthyB．Texting saves time and moneyC．Texting can help you lose weightD．Texting provides brief feedback and tips26．What’s Dori Steinberg’s attitude towards text messaging?A．Unknown. B．Negative.C．Positive. D．Unconcerned.The kids in this village wear dirty, ragged clothes. They sleep beside cows and sheep in huts made of sticks and mud. They have no school. Yet they all can chant the English alphabet, and some can make words.The key to their success: 20 tablet computers(平板电脑) dropped off in their Ethiopian village in February by a U.S. group called One Laptop Per Child. The goal is to find out whether kids using today’s new technology can teach themselves to read in places where no schools or teachers exist. The Massachusetts Institute of Technology researchers analyzing the project data say they’re already amazed. “What I think has already happened is that the kids have already learned more than they would have in one year of kindergarten,” said Matt Keller, who runs the Ethiopia program.The fastest learner—and the first to turn on one of the tablets—is 8-year-old Kelbesa Negusse. The device’s camera was disabled to save memory, yet within weeks Kelbesa had figured out its workings and made the camera work. He called himself a lion, a marker of accomplishment in Ethiopia.With his tablet, Kelbasa rearranged the letters HSROE into one of the many English animal names he knows. Then he spelled words on his own. “Seven months ago he didn’t know any English. That’s unbelievable,” said Kell er.The project aims to get kids to a stage called “deep reading,” where they can read to learn. It won’t be in Amharic, Ethiopia’s first language, but in English, which is widely seen as the ticket to higher paying jobs.27．How does the Ethiopia program benefit the kids in the village?A．It trains teachers for them.B．It contributes to their self-study.C．It helps raise their living standards.D．It provides funds for building schools.28．What can we infer from Keller’s words in Paragraph 3?A．They need more time to analyze data.B．More children are needed for the research.C．He is confident about the future of the project.D．The research should be carried out in kindergartens.29．It amazed Keller that with the tablet Kelbesa could _______.A．learn English words quickly.B．draw pictures of animals.C．write letters to researchers.D．make phone calls to his friends.30．What is the aim of the project?A．To offer Ethiopians higher paying jobs.B．To make Amharic widely used in the world.C．To help Ethiopian kids read to learn in English.D．To assist Ethiopians in learning their first language.三、七选五When I was young，my friends and I often played baseball in an alley（小巷）behind our home．A woman named Mrs Shinas owned a tiny house nearby，and she used to watch us play from her window．31．We all thought that she was mean．She had a big trained dog and whenever one of our baseballs rolled in its direction，Mrs Shinas would send the dog to catch it．32．Soon we ran out of balls．In those days，I used to water our lawn each day．One day as I stood watering our small lawn，I noticed that Mrs Shinas' lawn looked a little dry．It took only a few more minutes to water it，so I did it．33．When autumn came that year，I also helped gather up the leaves on Mrs．Shinas' yard．As I was doing this one day，she invited me to sit in her living room．She gave mea cookie and a glass of milk．As I sat there eating the cookie，she showed me her collection of paintings．34．That surprised me a lot．It was the first conversation I had ever had with her．35．She went into her kitchen and returned with a box．In it were all the balls that her dog had taken．She handed me the box，said "thank you" and smiled．I realized she had a kind heart．I also leaned that when we serve others，we are showing them that we love them．A．We wanted to buy a new ball．B．But the dog wouldn't return the ball to us．C．Her next action even changed my opinion of her．D．Then she thanked me for taking care of her lawn．E.Soon I found myself watering her lawn each day．F.She rarely came out of her house and never smiled．G.What delighted me most was that she was a great painter．四、完形填空My 4-year-old son now enjoys posting letters. He has formed the 36 of drawing pictures, writing his name on them, and then 37 the artwork in an envelope. He then insists on 38 his handwork to the neighbors, and a mail box he 39 belongs to the elderly couple who live next door. To be 40 , I didn’t think much of it, but I had41 to warn my neighbors of the drawings 42 appearing in their letterboxes—I just didn’t have the 43 to do so, because I was a little busy recently.On Tuesday of last week, I was walking down to school to collect my son when I 44 Mary, my elderly neighbor, 45 at her mail box. She said, “Jodie, is it your little son that has been posting items in my letterbox to me?” I was at once 46 , “Oh yes, Mary, it is. I’m sorry. I meant to tell you…” She cut me off, “Jodie, I just love his mail. I’ve 47 every item he has sent. You don’t know how much 48 the letters has made my day. I just love them.” While I was walking down to school after our 49 , many thoughts came to me. Mary doesn’t have a lot to fill her days, 50 she was a mother to a number of children herself who receives fairly regular visitors. The small 51 of getting some mail—pictures drawn by the hand of a young child—has brought 52 to her days, just as my visit to my grandparents does.I have decided that my son should 53 this practice. He should also start sendingsome items to his grandparents in Perth as well. It will most 54 make their day.It’s doing the little, simple things that can often make a big 55 in someone’s life. 36．A．habit B．attitude C．style D．form37．A．hiding B．writing C．drawing D．putting38．A．handing B．holding C．posting D．writing39．A．opened B．set C．chose D．saw40．A．kind B．surprised C．careful D．honest41．A．meant B．asked C．hated D．refused42．A．actually B．suddenly C．hardly D．partly43．A．intelligence B．strength C．money D．time44．A．met B．visited C．dated D．called45．A．crying B．lying C．laughing D．standing46．A．humorous B．embarrassed C．confused D．amused 47．A．copied B．bought C．kept D．examined48．A．receiving B．writing C．painting D．exchanging49．A．report B．expression C．talk D．discussion50．A．unless B．but C．so D．although51．A．charge B．offer C．act D．help52．A．worth B．happiness C．value D．future53．A．add B．stop C．continue D．form54．A．certainly B．unfortunately C．accidentally D．confidently 55．A．point B．difference C．behaviour D．living五、用单词的适当形式完成短文阅读下面材料，在空白处填入适当的内容（不多于3个单词）或括号内单词的正确形式。

牡一中2021届高三学年上学期期末考试英语试题第一节：单项选择（共20小题，每小题1分，满分20分）1.In the dark it was hard for us to ______ the numbers on the houses.A. make outB. leave outC. give outD. let out2.As far as I know, it was the car accident due to careless driving that led to ______.A. him to be killedB. him killingC. him having killedD. his being killed3.My bike needs ______ but I forgot ______ it to the repair shop.A. to repair; to takeB. repairing; to takeC. to be repaired; takingD. repairing; taking4.______ in the early 20th century, the school keeps on inspiring children’s love of art.A. FoundB. Having foundedC. FoundedD. Founding5.Travelers should ______ the local customs so that they don’t offend natives.A. occupyB. handleC. ignoreD. observe6.She is determined to work hard to ______ the expectations of her parents.A. look up toB. live up toC. keep up withD. give in to7.Jim managed to ______ his anger and avoid a fight.A. hold upB. hold outC. hold backD. hold onto8.You are fortunate enough to escape ______ for drunk driving, but don’t drink again.A. finingB. finedC. to be finedD. being fined9.She had a gift ______ writing and her special writing style had a great influence______ later writers.A. for; toB. in; inC. for; onD. in; on10.I will be bored with doing the same work every day, so I prefer a ______ job.A. comfortableB. challengingC. compulsoryD. considerate11.The student, who gave his life to save a child, was ______ honor to our school. Amemorial is held here every year in ______ honor of him.A. an; theB. an; /C. the; theD. a;/12.—Which of the two films did you prefer?—Actually I didn’t like ______.A. either of themB. both of themC. none of themD. neither of them13.What a wonder! They’ve finished ______ half of the project in such a short time.A. no more thanB. no less thanC. not more thanD. much less than14.—What is that noise?—Oh, I forgot to tell you. The new machine ______.A. is being testedB. was testedC. will be testedD. has been tested15.She was too nervous to speak with so many eyes ______ on her.A. fixingB. fixedC. being fixedD. to fix16.The book is of great help to ______ wants to do the job.A. whoB. whomeverC. no matter whoD. whoever17.It was in the garden of his old house ______ he grew up ______ he dug up a pot ofgold.A. that; thatB. where; whereC. where; thatD. that; where18.He tried his best to solve the problem, ______ difficult it was.A. althoughB. howeverC. no matterD. whatever19.This is an illness that can result in total blindness if ______.A. to leave untreatingB. left untreatedC. leaving untreatingD. is left untreated20.Either you or one of your students ______ to attend the meeting that is duetomorrow.A. isB. areC. haveD. be第二节：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。

牡一中2014－2015学年度上学期期中考试高一学年英语试题第一部分：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A、B、C、D四个选项中选出最佳选项。

AI remember my math teacher Mr. Young very well. He stood out because the kids made fun of him. He was missing one of his fingers, and always pointed at students with his middle finger.I was not very good at English and math. No matter how hard I tried, I just could not know why I did not understand what all the other kids found so easy to learn.One day, I was told that if I got one more E on my report card, I would be taken to the “big prison for kids”. I tried really hard for weeks. I just couldn’t understand how to make different parts of numbers into whole things.The day before report cards were to come out, I knew that Mr. Young would give me an E, just like he always did. I went to Mr. Young and told him that the orphanage（孤儿院）was going to send me to the big prison if I got another E on my report card. He told me there was nothing he could do; it would be unfair to the other kids if he gav e me a better grade than I had actually earned. I smiled at him and said, “Mr. Young, do you know how the kids make fun of you because you’re missing your finger?”He looked at me, moved his mouth to one side and said nothing.“They shouldn’t do that to you because you can’t help not having a finger, Mr. Young. Just like I can’t help not being able to learn numbers and stuff like that,” I said.The next day, when I got my report card, I tucked it into one of my books. While on the school bus, I opened it: Geography, B＋; Drawing, C－; English, D－; History, C－; Gym, B＋; Art, C; Math, D－.That math grade was the most favorite one I ever received. Because I knew that someone in the world finally understood what it was like for me to be missing a finger inside my head.1.What grade should the boy have got in the math test this time?A. D－B.CC. B＋D. E2.The underlined word “tucked” in the passage most probably means “_______”.A. stuckB. listedC.hidD. copied3.The reason why the boy remembers Mr. Young is that _________.A. he missed one of his fingersB. he treated his students very wellC. he understood the boyD. he taught his students in a special wayBA car needs gas to run and your body also needs food to work for you. Eating the right kind of food is very important. It can help your body grow strong, so take care of what you eat.There are four main food groups altogether. The dairy group has food like milk, cheese and sour milk. The other three groups are the meat and fish group, the fruit and vegetable group, and the bread and rice group. Each meal should have at least one food from all four main groups. With all these food together, you will be given enough energy during the day.It is easy to get into bad eating habits. You may eat your breakfast in a hurry to get to school on time. Or you may not have time for a good lunch. It may seem easy to finish your supper with fish and chips all the time. But you will find yourself tired in these days and you can not think quickly.Watching what you eat will help keep your body healthy and strong. It is also good to take some exercise. It will help you eat more if you take a walk or play games in the open air. Having a good eating habit with some exercise is the key to your health.4.Which of the following diets do you think is the best one?A. Eggs, tomatoes and chicken.B. Milk, bread, cabbages and beef.C. Corn, fish, cream and pork.D. Rice, bean curd（豆腐）, apples, fish and chicken.5.The underlined word “dairy” in the second passage means _____.A. the food made out of cows such as milk and butterB. the shop that sells milk and butterC. a farm where cows are keptD. a place where milk products are made6.Which of the following is a good eating habit?A. Going to school without any breakfast.B. Eating fish and chips for supper all the time.C. Finishing your lunch in a very short time.D. Having at least one food from all the four groups each meal.7.In this passage the writer mainly tells us that _____.A. every person needs food to grow wellB. taking exercise can keep your body strongC. the right kind of food with exercise will keep you healthyD. enough energy helps people think more quicklyCIn many countries, schools have long summer holidays, with shorter holidays in between. However, a new report suggests shortening school holidays to stop children forgetting what they have learnt during the long summer break. Instead of three school terms, it says, there should be five eight-week terms. And there should be just four weeks off in the summer, with a two-week break between the other terms.Sonia Montero has two children at primary school and works full-time. She supports the idea. “The kids,” she says, “have much longer holidays than me and I can’t afford to take several weeks off work, so I need someone to take care of them. But nobody wants the work in the summer months —they all have holidays of their own.”Not surprisingly, some young p eople disagree. Student Jason Panos says, “It’s a stupid idea. I would hate staying at school in the summer. It’s unfair, too. The people who suggest this had long school holidays when they were young, but now they want to stop us enjoying the summer. The kids in Spain and America have much longer holidays than here, but they don’t forget everything they’ve learnt in a few months.”Nadia Salib agrees. “Sure,” she says, “the first week at school after the summer is never easy, but you soon get back into it. The real problem round here is that kids get bored after so many weeks out of school, and then some of them start causing trouble. But the answer is to give them something to do, not make everyone stay in school longer.”8.Why is Sonia in support of shorter school holidays?A. She doesn’t get any summer holidays in her job.B. She is worried that her children will forget what they’ve learnt.C. She can’t afford to pay someone to look after her children.D. She can’t get anyone to look after her children in su mmer.9.What does Jason say about long summer holidays?A. They can help children forget about school.B. Schools in other countries don’t have them.C. These days many older people have them too.D. They have little influence on children’s education.10.What does Nadia say about young people on summer holidays?A. They would like to spend more time at school.B. Long holidays are very bad for their education.C. They need something to do to enrich themselves.D. Long holidays should be shortened to stop them causing trouble.11.Which of the following statements best explains the text?A. It has been decided that summer holidays should be shortened.B. Students are angry that school holidays have been changed.C. Not everyone agrees to change school holidays.D. Teenagers are worried that they will be busy during summer holidays.DDid you know that the first documented use of OMG was in 1917, or that LOL was once a common term meaning little old ladies in 1960?That’s what the world learned when OMG, LOL, and FYI were added to the Oxford English Dictionary last week. This dictionary is considered by many to be the reference book that defines（给……下定义）the English language.Words added to the Oxford English Dictionary are truly considered new members of the language. People invent new words all the time, but only a few become popular enough to get defined in dictionaries.Typed online or in text messages, LOL, FYI, and OMG are initialisms — words made from the first letters of several words in a phrase, which can be said aloud letter by letter, like LOL, which now stands for Laugh Out Loud.Faster to type than the full phrases, initialisms like these have been used online since the 1990s. But these three online terms are now spoken offline too, making them different from other online lingo（术语）. Dictionary editors decided the words are used so commonly that they had to be defined this year.The Oxford English Dictionary now defines more than 600,000 words. That adds up to more than 21,730 pages!Guinness World Records calls it the longest dictionary in the world. The Oxford English Dictionary is known for recording words of all kinds — popular, outdated, and even foreign words used by English speakers, like taco —throughout the language’s long history.Another important addition to the dict ionary this year was ♥, as in “I ♥ NY.” This is the first graphic（图形的）symbol ever defined in the Oxford English Dictionary. The editors added ♥ as a verb under the definition of “heart”, meaning “to love”.12.Some new invented words can be added to the Oxford English Dictionary because ________.A. they are very popular with peopleB. they are commonly used onlineC. people find them difficult to defineD. people are not clear about their meanings13.What do we learn about initialisms like LOL from the text?A. They are used more commonly in writing than in speech.B. They are now mostly used offline.C. They are made from the letters of the first word.D. They have been used online since the 1990s.14.It can be learnt from the text that ___________.A. many online words were first frequently used offlineB. the meaning of words may change over timeC. outdated words will not find their place in the dictionaryD. more common words will be replaced by graphic words15.The text is intended to tell us ____________.A. how the Oxford English Dictionary is usedB. why the Oxford English Dictionary is commonly usedC. some important additions to the Oxford English DictionaryD. The great importance of the Oxford English Dictionary第二节（共5小题; 每小题2分，满分10分）阅读短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2017-2018学年高三学年上学期期中英语试题第I卷第一部分（共两节，满分40分）第一节阅读理解(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AJonathan Cranwell sat on a hard bench behind the long narrow des and watched the flies fly laily in the sun. The drone of the younger boys reading letters and the older boys reciting Latin verbs made him sleepy. Jonathan had to force his eyes to stay open. He wanted to learn something new!He looed up at the schoolmaster’s high des in the front of the room. The new teache r was from Harvard College. Jonathan’s father had been impressed with him. The boys had already had several other teachers, but none of them seemed to inspire Jonathan. So far, there was nothing to show that this one was special , though he’d only been there two days.“It’s too hot to sit and memorie lessons,” the schoolmaster said. “We’ll move outdoor s for the net part of our lesson.” He led the group of boys into the schoolyard. “You younger boys, dig for grubs and beetles ( 幼虫和甲虫). Count their feet. See if you can describe their shells”Jonathan watched the teacher surrounded by laughing young students. No one had ever used the schoolyard itself for a classroom. “What net ?” he thought. H e didn’t have time to thin about the younger boys, for he was running after butterflies and dragonflies himself.Jonathan and his friends lied this new way of learning.“It will be a clear night tonight. Go outside and loo at the sy,” said the schoolmaster. “Loo at the stars and notice their brightness and the patterns they mae. These patterns have names from Gree mythology(神话), names lie Orion, Aries, and others. Tomorrow we will learn about the ancient stories on them.”“How is the new schoolmaster ?” ased Jonathan’s father that evening, when Jonathan announced he was going out to loo at the sy.“He’s different from any other schoolmaster we’ve had,” Jonathan admitted. “He seems interested in everything around him, and he wants us to be curious too. He even used the schoolyard as a classroom!”“So Mr. John Adams and his new ways mae school useful to you after all,” joed Jonathan’s father.“I believe he has,” said Jonathan. “I now I won’t forget the lessons he has taught us!”1. What does the underlined word “drone” in Paragraph 1 mean ?A. Clear speaing voicesB. Continuous low dull soundsC. Enthusiastic responsesD. High spirits2. Which statement shows that the new schoolmaster understood the children ?A. “Go outside and loo at the sy,… ”B. “ See if you can describe their shells.”C. “ It’s too hot to sit and memorie lessons,…”D. “Tomorrow we will learn about the ancient stories…”3. From the last but one paragraph, we can learn that __________.A. Mr. Cranwell had met the new schoolmasterB. Jonathan had previously complained about schoolC. Mr. Cranwell was not satisfied with the new waysD. Jonathan had shown his father his homewor4.What is the main idea of this story?A. Science is all around us.B. School provides us with the best education.C. Homewor is an important part of education.D. There is more than one way to learn.BFor the business traveler who is all about efficiency Chec out these hotels that will get you in and out with a minimum of trouble. When you are pressed for time on a business trip, nothing can infuriate you more than a slow hotel chec-in process. On your net trip, try these hotels that offer a speedier chec-in process.1. Yotel New YorThe self-service ioss at this high-tech New Yor hotel wor just lie the ones you’d see at an airport. There are just five-steps to register and obtain your card ey. There is even a robotic luggage bellboy. You tap in the number of bags you are carrying and sies, then wait for a robot arm to swing down and store your luggage in a locer (say, for a day trip). This also speeds up the chec-in process if the first thing you need to do, lie me, is head to a series of meetings.2. Marriott Detroit AirportAnother option for business travelers in a hurry Marriott is rolling out its mobile chec-in app to 325 hotels this year, including the Marriott Detroit Airport hotel. (I’ve tested the app itself but not for a real visit quite yet.) Here is the basic idea you download the iphone or Android app. The night before, you can “chec-in” virtually. When you arrive, you get an alert that the room is ready and your ey, which is already tied to your reservation, is waiting for you at the des.3. Hyatt Regency MinneapolisI happened to stay at this hotel recently and lied how fast the ios chec-in wors. Lie the Yotel, the ios ass you to insert your credit card, similar to an airport terminal. The whole process too about three minutes, when I left, I was equally impressed with the fast chec-out. An agent meets you in the lobby with an ipad and ass for an email to use for a receipt. The big advantage you never have to wait in line.4. Radisson LaCrosseThe Radisson is trying to mae the ios process even faster, at a few select hotels lie the Radisson Lacrosse in Wisconsin, you use a mobile app to register and then receive a barcode by email or tet. When you get to the ios, you scan the barcode to get your ey without any other steps required. It’s super fast. You can find this new chec-in system at the Radisson hotels in Salt Lae City, Seattle, and Phoeni as well.5．Which two hotels offer a mobile app for customers to chec in?A. Yotel New Yor and Marriott Detroit Airport.B. Marriott Detroit Airport and Radisson LaCrosse.C. Marriott Detroit Airport. and Hyatt Regency Minneapolis.D. Hyatt Regency Minneapolis and Radisson LaCrosse.6．Which hotel will send you a receipt by email?A. Yotel New Yor.B. Marriott Detroit Airport.C. Radisson LaCrosse.D. Hyatt Regency Minneapolis.7．Which of the following is TRUE according to the passage?A. At Yotel New Yor, a robot will help you with all the chec-in process.B. With its chec-in app, you may enter your room in Marriott without a ey.C. The barcode you receive from Radisson contributes to the fast chec-in.D. Hyatt Regency Minneapolis is close to an airport terminal.CYou may thin, salt is just a simple cooing element we shae on our food for a little etra taste. But salt is much more than that. Without salt our muscles would not move. Our nervous systems would not operate. Our hearts would not beat.But do not thin rubbing salt into a wound will help. Doing that would be painful and not heal the wound. “To rub salt in to a wound” is an idiom that means to purposefully mae a bad situation worse.Early humans got the salt they needed to stay alive from the animals they illed. But advances in agriculture led to a diet low in salt. So, humans needed to find other sources. Those who lived near the ocean or other natural sources for salt were lucy. Those who did not had to trade for salt. In fact, people used salt as a method of payment in many parts of the ancient world. The word “salary” comes from the word “salt”.Salt also played an important part in population movement and world eploration. Eplorers understood that if they could eep food fresh, they could travel longer distances. So they used salt to preserve food and eplore the world.Salt was so important that, according to food historians, it was traded pound-for-pound for gold. Today, people still use the epressions “worth one's salt” or “worth one's weight in salt”. The epressions describe a person of value.A person might also be called “salt of the earth”. That description means he or she is dependable and trustworth y. However, when you say “I thin we should tae what he said with a grain of salt”you mean you accept it but maintain a degree of doubt about its truth.8. What can we learn from the first paragraph?A. Salt plays an important part in our life.B. Salt maes food tasty.C. Salt is considered to be part of our muscles.D. Salt is sure to damage nervous systems.9. A beggar’s bread was stolen last night, which means_________.A. salt of the earthB. rubbing salt in a woundC. a diet low in saltD. worth his salt10. If you describe a person as a great help, you mean_________ .A. he rubs salt in a woundB. he is often taen as a grain of saltC. he often uses salt to preserve meatD. he is worth his weight in salt11. Which of the following is the best title for the passage?A. Salt Is More Than a Four-letter Word.B. Salt Is a Basic Element in Cooing.C. Salt Is a Word with a Long History.D. Salt Is Popular with Different People.DA new study has discovered that meditation（冥想）and oygen sport together reduce depression. The Rutgers University study found that this mind and body combination, done twice a wee for only two months, reduced the symptoms for a group of students by 40 percent.“We are ecited by the findings because we saw such a meaningful improvement in both clinically depressed and non-depressed students,” said lead author Dr. Brandon Alderman. “It is the first time that both of these two behavioral ways have been looed at together for dealing with depression.”Researchers believe the two activities have an interactive effect on combating depression. Alderman and Dr. Tracey Shors discovered that a combination of mental and physical training (MAP) enabled students with major depressive disorder not to let problems or negative thoughts defeat them.Rutgers researchers say those who participated in the study began with 30 minutes of focused attention meditation followed by 30 minutes of oygen sport. They were told that if their thoughts drifted to the past or the future they should refocus on their breathing, enabling those with depression to accept moment-to-moment changes in attention.Shors, who studies the production of new brain cells in the hippocampus—part of the braininvolved in memory and learning—says scientists have shown in animal models that oygen sport eercise eeps a large number of certain cells alive.The idea for the human intervention（干预）came from her laboratory studies, she says, with the main goal of helping individuals acquire new sills so that they can learn to recover from stressful life events.By learning to focus their attention and eercise, people who are fighting depression can acquire new learning sills that can help them process information and reduce the overwhelming recollection of memories from the past, Shors says.“We now these treatments can be practiced over a lifetime and that they will be effective in improving mental health.” said Alderman. “The good news is that this intervention can be practiced by anyone at an y time and at no cost.”12. What made the research so different?A. Adopting a way of meaningful tal.B. Combining the two behavioral ways to treat depression.C. Treating depression with special medicine.D. Comparing the depressed with the non-depressed.13. The underlined word “combating” in Paragraph 3 can be replaced by ______.A. fightingB. identifyingC. distinguishingD. eamining14. What did the participants do in the research?A. They did oygen sport half an hour before thining.B. They thought quietly and then too eercise.C. They too eercise longer than they thought.D. They too eercise while thining quietly.15. What is Shors’ main purpose of her studies?A. To find out certain brain cells of humans.B. To study the production of new brain cells.C. To offer people a new method to treat stress.D. To decide the lins between stress and eercise. 第二节（共5小题；每小题2分，共1 0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。

2017-2018学年高一英语上学期期末考试试题汉(考试时间:2小时满分:100分)第I卷选择题(满分60分)阅读理解（共20小题,每题2分，满分40分）第一节：阅读理解（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的选项中选出最佳选项。

AWhen you walk along a street in a big city in the United States , you may see clocks in most stores. Radio announcers give t he correct time during the day. People there think that it is imp ortant to know the time. Most Americans have watches. They want to do certain things at certain times. They do not want to be late.Not all people all over the world value time. Suppose you visi t a certain country in South America. You would find that peop le living there do not like to rush. If you had an appointment (约会)with someone, he would probably be late. He would not care for arriving on time. In some countries in South America, ev en the radio programs may not begin right on time, nor do the radio announcers think it important to announce the right time. Many people regard a clock as a machine. It seems to them t hat a person who does everything on time is controlled by a m achine. They do not want a clock or any machine to have that much power over their lives.1. There are clocks in most stores in the US cities because __ ____.A. people in the stores want to sell these clocksB. people think it important to know the timeC. bosses want to make their stores beautifulD. they needn't wear watches when they are away from hom e2. The underlined word "rush" in the passage most probably means ______.A. “run”B. “walk”C.“hurry”D. “move”3. If you had an appointment with someone in some place in South America, he might not arrive on time, and this is becau se ______.A. he didn't have a watch with himB. he forgot to have a look at a watch or a clockC. he didn't like an appointment with someoneD. he didn't think it important to arrive on time4. In some countries in South America ______.A. the radio announcers do think it important to announce th e exact timeB. the radio programs may start a bit early or lateC. most people do not want to be controlled by othersD. many people think a clock has much power5.which statement is not true?A. The radio announcers in South America always announce t he right time.B. You can see clocks in many stores in USA.C.All the people in the world don’t value the time.D. Most Americans own watches.BFitzgerald, a very wealthy English man, had only one child, a son, who naturally was the apple of his eye. His wife died whe n the child was in his early teens. So Fitzgerald devoted hims elf to fathering the kid. Unluckily the son died in his late teens. Meanwhile, Fitzgerald's wealth was increasing all the time. He spent a lot on art works of the masters. Later Fitzgerald hims elf became seriously ill. Before his death, he had carefully pre pared his will as to how his wealth would be settled——to sell his entire collection at an auction(拍卖）.Because of the large quantity and high quality of his collection , a huge crowd of possible buyers gathered for the auction. M any of them were museum directors and private collectors ea ger to bid（出价）. Before the auction, the art works were shown, among w hich was a painting of Fitzgerald's son by an unknown artist. Because of its poor quality, it received little attention.When it was time for the auction, the auctioneer gaveled（敲槌）the crowd to attention. First the lawyer read from Fitzgerald's will that the first art work to be auctioned was the painting of h is son.The poor-quality painting didn't receive any bidders except one——the old servant who had attended to the son and loved him, a nd who for emotional reasons offered the only bid.As soon as the servant bought the painting for less than one English pound, the auctioneer stopped the bidding and asked the lawyer to read again from the will. The crowd became qui et, and the lawyer read from the will: “Whoever buys the painti ng of my son gets all my collection.” Then the auction was ov er.6. Fitzgerald was __________.A. a museum directorB. a master of artC. an art collectorD. an art auctioneer7. Which of the following is TRUE according to the story?A. Fitzgerald took care of his son all by himself.B. Fitzgerald lost his wife and his only son within 10 years.C. Fitzgerald became seriously ill because of the death of his son.D. Fitzgerald decided to leave everything he had to his servan t.8. Fitzgerald's will showed __________.A. his desire to fool the biddersB. his sadness at the death of his sonC. his regret of having no heir (继承人）D. his invaluable love for his son9. What helped the old servant win the whole collection of Fitz gerald's?A. No more than one pound.B. His emotion for his young master.C. Great increase of his wealth.D. His strong passion for art.10. At the result of the auction, the old man would feel more t han ______________.A. sadB. surprisedC. interestedD. expectedCWe parents often take material things for love. “I give him eve rything,” a disappointed mother complains. “New shoes, video -games, and his own TV. You’d think he’d at least show me re spect!”Of course, love and presents are related. Most parents work h ard to earn money. They want their children to have more tha n they did and have better lives. The problem is, most childre n don’t connect the things parents buy with the labor that pays for them. Children have more, but our culture——and television in particular——teaches them that more is never enough. Having more does n ot mean that a child feels loved.From a parent’s point of view, children are not thankful. But thi s has to do with their natural growth. Young children see their parents as all-mighty(万能的). If parents fail to provide what they want, it must be a matt er of choice. It’s normal for children, even school-age ones, not to be able to take another person’s point of vie w. For example, they may dislike their parents for working lon g hours, and not realize that the parent would also rather hav e more time at home.In addition to giving presents, we have to find other ways to e xpress love and create memories. Reading or telling stories to gether, making music and playing games are all ways for fami lies to spend time without spending money. Traditions like rea ding favorite poems and even snowball fights all serve the pur pose（达到目的）. Most importantly, as parents, we have to learn to hold b ack some energy from our tiring jobs. When we’re present for our children, we ourselves become the presents we want to gi ve.11. The underlined word “them”( in Paragraph 2) refers to____ __________.A. the things parents buyB. parentsC. childrenD. bett er lives12. According to the passage, children______.A. want fewer presentsB. want presents rather than loveC. are taught to ask for moreD. can live better without their parents.13. We can judge from the passage that there is _________.A. a heavy job load for some parentsB. a lack of money in some familiesC. misunderstanding between parents and childrenD. love between parents and children14. The last paragraph of the passage means that______.A. our children are good presents to usB. we should spend more time with our childrenC. we ourselves need some presentsD. we should give more presents to our children15. The best title for the passage is .A. Family LifeB. Children’s EducationC. Love and PresentsD. Children and Parents第二节：任务型阅读（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。

黑龙江省牡丹江市第一高级中学2021-2021学年高一英语上学期期中试题本试卷共150分答题时间120分钟第一局部：听力〔共10小题；每题1分，总分值10分〕第一节〔共5小题〕1. What does the woman suggestA. They don’t have to go to the concert.B. His brother will let them use the car.C. The bus is fine for them.2. What do we know about the matchA. It can’t be much fun.B. It must be exciting.C. It may be put off.3. What is wrong with the printerA. It doesn’t flash.B. There isn’t ink.C. It’s broken.4. What is the woman interested inA. Sports.B. Fashion.C. Politics.5. What are the two speakers mainly talking aboutA. New dictionaries.B. Language forms.C. The development of languages.第二节〔共5小题〕听第6段材料，答复第6至7题。

6. What’s wrong with the manA. He is very tired and sleepy.B. He is worried about his text.C. He is ill because of hard work.7. What did the man do last nightA. He studied in the library.B. He went to a party.C. He prepared for a big text.听第7段材料，答复第8至10题。

牡一中2019级高一学年上学期期末考试数学试题一、选择题（本大题共有12个小题，每小题5分，共60分，在每小题给出的四选项中只有一项是符合题目要求的.） 1.sin780︒的值为（ ） A.12B. 12-C.32D. 3 【★★答案★★】C 【解析】 【分析】化简()sin780sin 72060sin60︒=︒+︒=︒，计算得到★★答案★★. 【详解】()3sin 780sin 72060sin 60︒=︒+︒=︒=. 故选：C .【点睛】本题考查了诱导公式，属于简单题. 2.已知3cos 5α=-，则tan α=（ ） A. 43±B.34C. 34-D. 34±【★★答案★★】A 【解析】 【分析】 计算得到4sin 5α=±，根据sin tan cos ααα=得到★★答案★★.【详解】3cos 5α=-，则4sin 5α=±，故sin 4tan cos 3ααα==±. 故选：A .【点睛】本题考查了同角三角函数关系，意在考查学生的计算能力.3.一个扇形的半径为1，周长为4，则此扇形圆心角弧度数的绝对值为（ ） A. 1B. 2C. 3D. 4【★★答案★★】B 【解析】 【分析】设圆心角为α，则24α+=，计算得到★★答案★★. 【详解】设圆心角α，则24α+=，2α=.故选：B .【点睛】本题考查了扇形的相关计算，意在考查学生对于扇形公式的灵活运用.4.已知sin 0θ<，tan 0θ> ） A. cos θ B. cos θ-C. cos θ±D. 以上都不对【★★答案★★】B 【解析】 【分析】判断θ为第三象限角，化简得到★★答案★★.【详解】sin 0θ<，tan 0θ>，故θcos cos θθ==-. 故选：B .【点睛】本题考查了象限角的判断，同角三角函数关系，意在考查学生的计算能力.5.已知()2,P x 是角α终边上一点且tan 4α=﹐则x 的值为（ ）A.2C. 2±D. 【★★答案★★】A 【解析】 【分析】直接根据三角函数定义得到★★答案★★【详解】()2,P x 是角α终边上一点，则tan 24x α==，故2x =. 故选：A .【点睛】本题考查了三角函数的定义，属于简单题.6.已知向量()1,0a =与向量()13,b =，则向量a 与b 的夹角是（ ）A.6π B.3π C.23π D.56π 【★★答案★★】B 【解析】 【分析】直接利用向量夹角公式得到★★答案★★.【详解】向量()1,0a =，()13,b =，则cos a b a b θ⋅=⋅，故1cos 2θ=，3πθ=.故选：B .【点睛】本题考查了向量的夹角计算，意在考查学生的计算能力.7.已知向量a ，b ，且2AB a b =+，56BC a b =-+，72CD a b =-，则一定共线的三点是（ ） A. A ，B ，DB. A ，B ，CC. B ，C ，DD. A ，C ，D【★★答案★★】A 【解析】 【分析】根据向量共线定理进行判断即可.【详解】因为(56)(72)242BD BC CD a b a b a b AB =+=-++-=+=，且AB ，BD 有公共点B ，所以A ，B ，D 三点共线． 故选：A.【点睛】本题考查了用向量共线定理证明三点共线问题，属于常考题.8.已知1tan 2α=-，则222sin cos sin cos αααα-的值是（ ）A.43B. 3C. 43-D. 3-【★★答案★★】A 【解析】【详解】因为22212sin cos 24tan 2sin cos 13tan tan ααααααα=-==--，所以点睛：利用sin 2α＋cos 2α＝1可以实现角α的正弦、余弦的互化，利用sin tan cos可以实现角α的弦切互化．9.已知sin cos 2αα+=-，则1tan tan αα+的值等于（ ） A. 2B.12C. 2-D. 12-【★★答案★★】A 【解析】 【分析】将等式sin cos 2αα+=-两边平方，可得出sin cos αα的值，然后将sin tan cos ααα=代入1tan tan αα+化简计算可求得该代数式的值. 【详解】sin cos 2αα∴+=-，()2sin cos 12sin cos 2αααα∴+=+=，解得1sin cos 2αα=， 因此，221sin cos sin cos 1tan 21tan cos sin sin cos 2αααααααααα++=+===. 故选：A.【点睛】本题考查利用同角三角函数的基本关系化简计算，在涉及sin cos αα±的相关计算时，一般利用平方关系()2sin cos 12sin cos αααα±=±来计算，考查计算能力，属于中等题.10.如图，在ABC 中，D 为BC 边上一点，且2BD DC =.若(),AC mAB nAD m n R =+∈，则m n -=（ ）A. 2B. 1C. 2-D. 3【★★答案★★】C 【解析】 【分析】 化简得到1322AC AB AD =-+，得到★★答案★★. 【详解】()33132222AC AB BC AB BD AB AD AB AB AD mAB nAD =+=+=+-=-+=+，故13,22m n =-=，2m n -=-.故选：C .【点睛】本题考查了向量的运算，意在考查学生的计算能力.11.设cos50cos127cos40cos37a =︒⋅︒+︒⋅︒，)sin 56cos56b =︒-︒，221tan 391tan 39c -︒=+︒，()21cos802cos 5012d =︒-︒+，则a ，b ，c ，d 的大小关系是（ ） A. a b d c >>> B. c a b d >>> C. b a d c >>> D. a c b d >>>【★★答案★★】D 【解析】 【分析】化简得到cos77a =︒，cos79b =︒，cos78c =︒，cos80d =︒，得到★★答案★★. 【详解】cos50cos127cos40cos37sin 40sin37cos40cos37cos77a =︒⋅︒+︒⋅︒=-︒︒+︒⋅︒=︒；()sin 45sin sin 5566cos c 562os 45cos56cos101cos 79b =︒︒-︒︒=-︒==︒-︒︒； 22221tan 39cos 39sin 39cos 781tan 39c -︒==︒-︒=︒+︒； ()222cos 1cos 40cos 50cos80802cos 5012d =︒=︒--︒=︒+︒. 根据余弦函数的单调性知：a c b d >>>.故选：D .【点睛】本题考查了三角恒等变换，三角函数的单调性，意在考查学生的综合应用能力. 12.定义在R 上的函数()f x 满足()()2f x f x +=，当[]3,5x ∈时， ()24f x x =--，则下列不等式一定不成立的是（ ） A. cossin 66f f ππ⎛⎫⎛⎫> ⎪ ⎪⎝⎭⎝⎭ B. ()()sin1cos1f f <C. 22cossin 33f f ππ⎛⎫⎛⎫> ⎪⎪⎝⎭⎝⎭D. ()()sin2cos2f f <【★★答案★★】A 【解析】 【详解】()()2,f x f x +=∴函数的周期为2，当[]3,5x ∈时， ()[]24,1,2f x x x =--∴∈时， ()f x x =，故函数()f x 在[]1,2上是增函数，(]2,3x ∈时， ()4f x x =-，故函数()f x 在[]2,3上是减函数，且关于=4x 轴对称，又定义在R 上的()f x 满足()()2f x f x =+，故函数的周期是2，所以函数()f x 在()1,0-上是增函数，在()0,1上是减函数，且关于x 轴对称，观察四个选项A 选项中2112cos3223f f f f sin ππ⎛⎫⎛⎫⎛⎫⎛⎫=-=> ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭ f =⎝⎭，故选A. 二、填空题（本大题共有4个小题，每小题5分，共20分）13.已知点()3,5P -，()2,1Q ，向量()21,1m λλ=-+，若PQ m ⊥，则实数λ等于________.【★★答案★★】32. 【解析】 【分析】计算()5,4PQ =-，根据PQ m ⊥计算得到★★答案★★. 【详解】()3,5P -，()2,1Q ，则()5,4PQ =-，PQ m ⊥，则()()5,105440421,1PQ m λλλλ⋅=-⋅--+=--=，故32λ=.故★★答案★★为：32. 【点睛】本题考查了根据向量垂直求参数，意在考查学生的计算能力. 14.tan 25tan 353tan 25tan 35++︒︒︒︒的值为________. 【★★答案★★】3. 【解析】 【分析】根据()tan60tan 2535︒=︒+︒，展开化简得到★★答案★★. 【详解】()tan 25tan 35tan 60tan 253531tan 25tan 35︒+︒︒=︒+︒==-︒⋅︒，故tan 25tan 353tan 25n 33ta 5︒︒︒+︒=+. 故★★答案★★为：3.【点睛】本题考查了正切和差公式的应用，意在考查学生的计算能力.15.如图，游乐场所的摩天轮匀速旋转，每转一周需要l2min ，其中心O 离地面45米，半径40米.如果你从最低处登上摩天轮，那么你与地面的距离将随时间的变化而变化，以你登上摩天轮的时刻开始计时，请问：当你第六次距离地面65米时，用了________分钟？【★★答案★★】32. 【解析】 【分析】根据题意得到40sin 456562t ππ⎛⎫-+= ⎪⎝⎭，化简得到124t k =+或128t k =+，得到★★答案★★.【详解】设时间为t ，0t >，根据题意：40sin 456562t ππ⎛⎫-+= ⎪⎝⎭，故1sin 622t ππ⎛⎫-= ⎪⎝⎭.故2626t k ππππ-=+或52626t k ππππ-=+，故124t k =+或128t k =+，k Z ∈. 故1234564,8,16,20,28,32t t t t t t ======. 故★★答案★★为：32.【点睛】本题考查了三角函数的应用，意在考查学生的应用能力.16.如图，扇形的半径为1，圆心角120BAC ∠=︒，点P 在弧BC 上运动，AP xAB y AC =+，则3x y +的最大值为________.【★★答案★★】393. 【解析】 【分析】如图所示：作平行四边形AFPE ，,E F 分别在,AC AF 上，故AP AE AF xAB y AC =+=+，计算得到23x θ=，()23120y θ=︒-，()2393x y θϕ+=+，得到★★答案★★.【详解】如图所示：作平行四边形AFPE ，,E F 分别在,AC AF 上，故AP AE AF xAB y AC =+=+.故,AE x AF y ==，设PAB θ∠=，根据正弦定理：1sin 60sin x θ=︒，()1sin 60sin 120y θ=︒︒-，故23sin x θ=，()23sin 120y θ=︒-，故()()2373sin 120239323sin sin si 3n cos 33x y θθϕθθθ︒-=+=+=++， 其中3tan 7ϕ=，当73tan 3θ=时，有最大值为2393.故★★答案★★为：239.【点睛】本题考查了正弦定理和三角恒等变换的应用，意在考查学生的综合应用能力.三、解答题（本大题共有6个小题，共70分，解答应写出文字说明、证明过程或演算步骤） 17.（1）若向量a ，b 满足：1a =，()a b a +⊥，求a b ⋅的值； （2）若向量a ，b 满足：10a b +=，6a b -=，求a b ⋅的值.【★★答案★★】（1）1a b ⋅=- （2）1a b ⋅=. 【解析】 【分析】（1）计算()20a b a a a b +⋅=+⋅=，得到★★答案★★. （2）210a b +=，26a b -=，展开相减得到★★答案★★. 【详解】（1）()a b a +⊥，故()20a b a a a b +⋅=+⋅=，故1a b ⋅=-. （2）10a b +=，故210a b +=，6a b -=，故26a b -=， 展开相减得到44a b ⋅=，故1a b ⋅=.【点睛】本题考查了向量的运算，意在考查学生的计算能力. 18.已知函数()sin 23f x x π⎛⎫=+⎪⎝⎭. （1）求函数()y f x =图象的对称轴方程和对称中心； （2）求函数()y f x =的单调递减区间.【★★答案★★】（1）122k x ππ=+，k Z ∈，,062k ππ⎛⎫ ⎪⎝+⎭-，k Z ∈；（2）71212,k k ππππ⎡⎤++⎢⎥⎣⎦，k Z ∈.【解析】 【分析】 （1）计算232x k πππ+=+和23x k ππ+=得到★★答案★★.（2）取3222232k x k πππππ+≤+≤+，解得★★答案★★. 【详解】（1）由232x k πππ+=+，k Z ∈得对称轴为122k x ππ=+，k Z ∈； 由23x k ππ+=，k Z ∈得对称中心为,062k ππ⎛⎫⎪⎝+⎭-，k Z ∈. （2）由3222232k x k πππππ+≤+≤+，k Z ∈，得单调递减区间为71212,k k ππππ⎡⎤++⎢⎥⎣⎦，k Z ∈.【点睛】本题考查了三角函数的对称轴，对称中心，单调性，意在考查学生对于三角函数性质的灵活运用.19.将函数()sin g x x =的图象纵坐标伸长为原来的2倍（横坐标不变），再将横坐标缩短为原来的12倍（纵坐标不变），最后把得到的函数图象向左平移8π个单位得到函数()y f x =的图象.（1）写出函数()y f x =的解析式； （2）用五点法作出函数()7,,88y f x x ππ=∈-⎡⎤⎢⎥⎣⎦的图象. 【★★答案★★】（1）()2sin 24x f x π⎛⎫=+ ⎪⎝⎭；（2）见解析. 【解析】 【分析】（1）根据三角函数的平移伸缩变换法则直接得到★★答案★★. （2）列出表格，画出函数图像得到★★答案★★.【详解】（1）根据三角函数的平移伸缩变换法知：()2sin 24x f x π⎛⎫=+ ⎪⎝⎭.（2）7,88x ππ⎡⎤⎢⎥⎣∈-⎦，0224x ππ∴≤+≤，列表如下24x π+2π π 32π 2πx8π-8π 38π 58π 78π ()f x22-画出函数图像，如图所示：【点睛】本题考查了三角函数的平移伸缩变换，函数图像，意在考查学生的综合应用能力. 20.（1）已知1sin 63πα⎛⎫+=⎪⎝⎭，求2cos 23πα⎛⎫- ⎪⎝⎭的值； （2）已知α，()0,βπ∈，且tan 2α=，72cos 10β=-，求2αβ-的值. 【★★答案★★】（1）79-；（2）4π-. 【解析】 【分析】（1）化简得到22cos 22sin 136ππαα-=+⎛⎫⎛⎫⎪ ⎪⎝⎭⎝-⎭，计算得到★★答案★★. （2）计算4sin 25α=，3cos25α=-，利用和差公式计算得到★★答案★★.【详解】（1）227cos 2cos 2cos 22sin 136669ππππαπααα⎛⎫-=-+=-+=+-=- ⎡⎤⎛⎫⎛⎫⎛⎫⎪ ⎪ ⎪⎢⎪⎝⎭⎥⎝⎭⎝⎭⎝⎭⎣⎦.（2）()0,απ∈，tan 21α=>，,42ππα⎛⎫∴∈ ⎪⎝⎭，2222sin cos 2tan 4sin 2sin cos tan 15ααααααα∴===++，22222222cos sin 1tan 3cos 2cos sin sin cos tan 15ααααααααα--=-===-++， ()0,βπ∈，sin 10β==，又cos 0β<，,,2222πππβπαβ⎛⎫∴∴∈-<-⎪⎭<⎝，()sin 2sin 2cos cos 2sin 2αβαβαβ∴-=-=-，24παβ∴-=-.【点睛】本题考查了三角恒等变换求函数值和角度，意在考查学生的计算能力. 21.已知函数()226sin cos 2cos 24f x x x x x π=++-⎫⎪⎝⎭+⎛，x ∈R . （1）求函数()y f x =在132424,ππ⎡⎤-⎢⎥⎣⎦上的最值及相应的x 的值； （2）求不等式()1f x ≤的解集. 【★★答案★★】（1）38x π=时，1；（2）137,2424x k x k k Z ππππ⎧⎫-≤≤+∈⎨⎬⎩⎭. 【解析】 【分析】（1）化简得到()214f x x π=-⎫⎪⎝⎭+⎛，根据52346x πππ≤-≤得到★★答案★★. （2）化简得到sin 24x π⎛⎫-≤ ⎪⎝⎭得到4222+343k x k πππππ-≤-≤，解得★★答案★★. 【详解】（1）())()sin 2cos 23sin 21cos 22f x x x x x =++-++ 2sin 22cos 21214x x x π⎛⎫ ⎪⎝==-⎭-++，132424x ππ-≤≤，52346x πππ∴-≤-≤，∴当243x ππ-=-，即24x π=-时，()min 1624x f f π⎛⎫-⎪⎭==-⎝， 当242x ππ-=，即38x π=时，()max 32218f x f π⎛⎫⎪⎭= ⎝=+， （2）()361,sin 24f x x π⎛⎫≤+∴-≤ ⎪⎝⎭，故4222+343k x k πππππ-≤-≤，k Z ∈. 137,2424x k x k k Z ππππ⎧⎫∴-≤≤+∈⎨⎬⎩⎭.【点睛】本题考查了三角函数的最值，解三角不等式，意在考查学生的计算能力. 22.已知函数()()sin 0,0,2f x A x A πωϕωϕ⎛⎫=+>><⎪⎝⎭的部分图象如下图所示.（1）求函数()f x 的解析式； （2）已知关于x 的方程cos 212x f x m π⎛⎫-+= ⎪⎝⎭在[]0,2π内恰有两个不同的解α，β. ①求实数m 的取值范围.②证明：()22cos 15m αβ-=-.【★★答案★★】（1）()2sin 26f x x π⎛⎫=+ ⎪⎝⎭；（2）()()5,,115-；证明见解析.【解析】 【分析】（1）计算T π=得到2ω=，计算2A =，6π=ϕ得到★★答案★★. （2）计算得到()cos 212x f x x πθ⎛⎫-+=+⎪⎝⎭，[]0,2x π∈得到m的取值范围是()(),15，计算222k αββθππ-=--++，故()()2cos 2sin 1αββθ-=+-，得到证明.【详解】（1）易知2A =，设周期为T ，则541264T πππ=-=，T π∴=，2ω∴=， 2sin 263f ππϕ⎛⎫⎛⎫=+= ⎪ ⎪⎝⎭⎝⎭，232k ππϕπ+=+，k Z ∈，26k πϕ∴=+，2πϕ<，6πϕ∴=，()2sin 26f x x π⎛⎫∴=+⎪⎝⎭. （2）①cos 2sin 2cos 2sin cos 2122126x x f x x x x πππ⎡⎤⎛⎫⎛⎫-+=-++=+⎪ ⎪⎢⎥⎝⎭⎝⎭⎣⎦()x θ=+，其中sin 5θ=，cos 5θ=， 当0x =时，函数值为1，且[]0,2x π∈，画出函数图像，∴实数m 的取值范围是()(),15.②()()sin sin αθβθ+=+=，2k αθβθππ∴+++=+，k Z ∈， 22k αβθππ∴=--++，k Z ∈.()()()cos cos 222cos 2k αββθπππβθ∴-=--++=-+⎡⎤⎣⎦ ()()222cos 22sin 115m βθβθ=-+=+-=-.【点睛】本题考查了三角函数解析式，参数范围，证明恒等式，意在考查学生的综合应用能力.感谢您的下载!快乐分享，知识无限！由Ruize收集整理！感谢您的下载!快乐分享，知识无限！由Ruize收集整理！。