注意事项：2017 级高一入学考试英语试题 时间：90 分钟满分：150 分 10. Laura couldn’t help the jellyfish. They sparkled like jewels. A. watched B. to watch C. watch D. watching 11. One Saturday morning he walked Blossom Street as usual. A. face to face B. from time to time C. up and down D. here and there 1.答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。用2B 铅笔将答题卡上试卷类型A 后的方框涂黑。 2.选择题的作答：每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。 3.非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。写在试题卷、草稿纸和答题卡上的非答题区域均无效。 4.考试结束后，请将本试题卷和答题卡一并上交。 一、单项填空（共15 小题：每小题1 分，满分15 分） 从每题所给的四个选项（A、B、C 和D）中选出最佳选项，并在答题卡上将该项涂黑。 1. Seal stopped singing and floods of tears. A. burst into B. set into C. brought into D. took into 2. Every morning, Mr. Flinch up the hear hammers banging, spanners clanging and engines revving. A. to wake B. has woken C. waking D. woke 3. Daisy said ‘_it wasn’t bori ng.’ A. at times B. at last C. at least D. at most 4. I want you to take care of our new boy and give him a hand he needs it. A. as B. if C. unless D. though 5. Some of the asteroids were big office blocks A. as, that B. as, so C. as, as D. so, as 6. Lenny nudged him in the back and sai d, “ Your shorts are mine!” A. same that B. the same as C. same as D. the same that 7. The other two cleaning ladies to be Captain Smith and Captain Jones. A. turn over B. turn out C. turn into D. turn on 8. That was because you couldn’t eat rice pudding without most of it down your shirt. A. to put B. being put C. put D. putting 9. They saw Captain Smith and Captain Jones cleaning ladies and holding up mirrors. A. dressed as B. dressing as C. are dressed as D. is dressed as 12. Half an hour , they were both tired and fed up. A. latter B. later C. late D. latest 13. We are to hear the bad news. A. surprised B. surprise C. surprising D. surprisingly 14. Pa stopped playing his fiddle, but he never hope. A. gave out B. gave in C. gave up D. give up 15. He learned about his own people, the Xhosas, how they had fought against the British. A. bravely B. carefully C. luckily D. likely 二、完形填空 （共20 小题；每小题2 分，满分40 分） 阅读下面短文，从短文后各题所给的四个选项（A、B、C 和D）中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。 There was a problem at the castl e. “I giv e up,” said Mrs Binns, The royal cleaner, “There’s too 16_ work here for one person.” Mrs Binns gave Queen Norah the keys 17_ the castle and left. Queen Norah told the rest of the royal family. “What are we going to do?” a sked the Princess Jane. “For a start ,you 18 not have your friends round here any mor e.” said Queen Nort h. “Why not?” asked Princess Jane. “19 they make too much mess.” “Perhaps we can 20 try to keep the castle tidy,” said King Harry. “I’m sure 21 Captain Jones and Captain Smith will help. I can 22_ do a bit of washing myself.” “Wha t!” shouted Queen Norah. “People will say that King Harry does his own cleaning! Never!” “We can put up an advert for 23_ cleaner,” said Princess Jane. “Good ide a,” said Queen Norah. “W rite an advert at once.” Princess Jane 24 a notice. She pinned it to the castle door. The days went by and 25 came to ask about the cleaning job. The castle became dirtier 26 dirtier. There were no more clean clothes and no more clean plates. One morning Queen Norah heard singing 27 from the kitchen. She popped her head round the door. She saw a shocking sight. King Harry was at the sink doing the dishes. Captain Smith was mopping the floor. Captain Jones was washing the royal shirts.
绝密★启用前 长郡中学2021届高三开学摸底考试 数学 全卷满分150分，考试时间120分钟。 ★祝考试顺利★ 注意事项： 1．答题前，考生务必将自己的姓名、准考证号填写在答题卡上。并将准考证号条形码粘贴在答题卡上的指定位置。 2．选择题作答用2B 铅笔把答题卡上对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其它答案标号。答在试卷和草稿纸上无效。 3．非选择题作答用0.5毫米黑色墨水签字笔直接答在答题卡上对应的答题区域内。 答在试卷和草稿纸上无效。考生必须保持答题卡的整洁。考试结束后，只需上交答题卡 一、选择题：本题共8小题，每小题5分，共40分。在每小题给出的四个选项中，只有一项是符合题目要求的。 1.已知集合A ＝{x ∈N|12 <2x ＋1<16}，B ＝{x|x 2－4x ＋m ＝0}，若1∈A ∩B ，则A ∪B ＝ A.{1，2，3} B.{1，2，3，4} C.{0，1，2} D.{0，1，2，3} 2.已知复数z 满足z(1＋2i)＝|4－3i|(其中i 为虚数单位)，则复数z 的虚部为 A.－2 B.－2i C.1 D.i 3.f(x)＝1cosx x 的部分图象大致是 4.饕餮(t āo ti è)纹，青铜器上常见的花纹之一，盛行于商代至西周早期。有人将饕餮纹的一部分画到了方格纸上，如图所示，每个小方格的边长为1，有一点P 从A 点出发，每次向右或向下跳一个单位长度，且向右或向下跳是等可能性的，那么它经过3次跳动后，恰好是沿着餮纹的路线到达点B 的概率为
A.1 2 B. 1 4 C. 1 16 D. 1 8 5.已知椭圆C： 22 22 1(0) x y a b a b +=>>的右焦点F，点P在椭圆C上，点Q在圆E：(x＋3)2 ＋(y－4)2＝4上，且圆E上的所有点均在椭圆C外，若|PQ|－|PF|的最小值为56，且椭圆C的长轴长恰与圆E的直径长相等，则椭圆C的标准方程为 A. 2 21 2 x y += B. 2 21 4 x y += C. 22 1 43 x y += D. 22 1 42 x y += 6.命题p：f(x)＝x＋alnx(a∈R)在区间[1，2]上单调递增；命题q：存在x∈[2，e]，使得 1 ln x x - － e＋4＋2a≥0成立(e为自然对数的底数)，若p且q为假，p或q为真，则实数a的取值范围是 A.(－2，－3 2 ) B.(－2，－ 3 2 )∪[－1，＋∞) C.[－ 3 2 ，－1) D.(2，－ 3 2 )∪[1，＋∞) 7.已知A(2，1)B(2 3 ，0)，C，D四点均在函数f(x)＝log2 ax x b + 的图象上，若四边形ABCD为 平行四边形，则四边形ABCD的面积是 A.26 5 B. 26 3 C. 52 5 D. 52 3 8.设数列{a n}的前n项和为S n，当n∈N*时，a n，n＋1 2 ，a n＋1成等差数列，若S n＝2020，且a2<3， 则n的最大值为 A.63 B.64 C.65 D.66 二、多项选择题：本题共4小题，每小题5分，共20分。在每小题给出的选项中，有多项符合题目要求。全部选对的得5分，有选错的得0分，部分选对的得3分。 9.2020年两会“部长通道”工信部部长表示，中国每周大概增加1万多个5G基站，4月份增加5G用户700多万人，5G通信将成为社会发展的关键动力，右图是某机构对我国未来十年5G用户规模的发展预测图。则
第一部分听力理解（共两节，满分30分） 第一节（共五小题；每小题0.5分，满分7.5分） 听下面五段对话.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.每段对话紧读一遍. 1. According to the weatherman, what is the forecast for tomorrow? A. It will rain. B. It will be cold C. It will be windy. 2. What does Mr.Brown most probably do at the school? A. He teaches art. B. He learns painting. C. He repairs equipment. 3. What was the weather like last Saturday? A. It was sunny. B. It was raining all day. C. It turned fine in the afternoon. 4. What’s the woman’s occupation? A. A shopkeeper. B. A bank clerk C. A driver. 5. What does the woman think of the film/ A. She thinks the film will win the prize. B. She doesn’t think the film is good. C. She isn’t interested in it. 第二节（共15题；每小题1.5分，满分22.5分） 听下面五段对话或独白。每段对话或独白后有几个小题, 从题中所
高一入学考试 英语试题 注意： 1. 请将第一卷客观题的答案填涂到答题卡上，交卷时交答题卡和第二卷。 2. 答题卡必须填涂的项目： （1）姓名 （2）准考证号（涂完请认真检查是否涂正确） （3）科目代号：英语 3. 第二卷必须写姓名和考号 第一卷 一、单项填空（35分） 第二节Would you please ___________ in class? A. not to talk B. not talk C. not talking D. don’t talk 第三节He asked whether they ____________ in an hour. A. would arrive B. will arrive C. has arrived D. arrive 第四节At that time, he was ______________ young to look after himself. A. too B. so C. very D. that 第五节How will Sam feel when ___________ by plane? A. travelled B. to travel C. travel D. travelling 5. Anyone who ___________ the rules will be punished. A. breaks B. will break C. breaking D. break 6. The girls are practicing _____________ the new song. A. to sing B. sing C. singing D. sang 7. Children must _____________ how to learn. A. teaches B. teach C. be taught D. are taught 8. Of the two sisters, Betty is _____________ one, and she is also the one who loves to be quiet. A. a younger B. a youngest C. the youngest D. the younger 9. I invited Joe and Linda to dinner, but _____________ of them came. A. neither B. either C. none D. both 10. We had a picnic last term and it was a lot fun, so let’s have ____________ one this month. A. the other B. some C. another D. other 11. --- Is your headache getting ________________? --- No, it’s worse. A. better B. bad C. less D. well 12. Great changes _____________ in the last 30 years. A. took place B. take place C. have taken place D. would take place 13. --- Do you like these flowers? --- Yes, they ____________ very beautiful. A. look B. are looked C. are looking D. looked
长郡中学高一新生入学考试英语试卷（答案） 考生须知： 1、本试卷共五个大题，总分100分，考试时间90分钟，请将答案做在答题卷上。 2、答题前，先用钢笔或圆珠笔在答题卷规定位置上填写姓名、考场号、座位号。 一、单项选择（本题有15小题，每小题1分，共计15分） 从A、B、C、D四个选项中，选出可以填入空白处的最佳答案。 1. __ Excuse me, to the nearest post office, please ? __ Go straight and take the second turning on the left. A. where the way is B. which the way is C. where is the way D. which is the way ll come for second time. 2. Changsha is most beautiful city and I beIieve I’ A. the; a B. a; a C. the; the D. a; the 3. — Oh, I'm hungry. Mum, can I have the hamburger on the plate? —No. It tastes A. terribly B.terrible C. good D. well ; 4. —What's the best way of losing weight? — . A.why not playing games? B.why don’t you play games? C. I advise you to playing games D. You'd better to play games. 5. When I dropped in, Dr Smith ,so we only had time for a few words. A. just left B、was Just leaving C. has just left D. had just left 6. —lt‘s a secret between us. Don't tell anybody. —Sure, . A. I do B. I don't C. I will D. I won't 7. —What a beautiful watch! Is it new? —No, I have it for 2 year. A、had B、sold C、borrowed D、bought 8. Her hobby is taking photos collecting stamps. It’s growing flowers. A. either ; or B. both; and C. not only ; but also D. neither ;nor 9. The students here after school yesterday. A. have seen to play B.were seen to play C. were seen play D.have been seen palying 10.—May I put my bike here? —No, you you should put it Over there. A. couldn't B. needn't C. mustn't D.won't 11.—How about going shopping this weekend ? —Sorry,dear,I prerfe rather than . A.to stay at home ; go out " B, to go out; stay at home C. going out ;stay at home D.staying at home ; go
高一下学期期中考试英语试题 一、阅读理解（共15小题；每小题2.5分，满分37.5分） 1. 阅读理解 TheBest Ice Rinks in Europe ZeroDegrees, London, the UK TheMaritime Museum in Greenwich has opened an ice rink this year for the firsttime. It’s outside the Queen’s House and has agreat view of the R iver Thames, creating a wonderful skating experience. It’s alittle cheaper than competing museum ice rinks, and less busy, too. There is noneed to book tickets online. You can simply turn up and buy tickets there. Nextto the outdoor ice rink there is an indoor bar for those who simply wish towatch, and it’s open until late. Ticketprices: adult from ￡13.50, child from ￡6.75 SkatingHeroes, Hungary Budapest’sCity Park ice rink opens daily from November to February: it’s one of thelargest and oldest open-air rinks in Europe and it is beautiful. It is easilyreached by train or subway. A cafe serve hot chocolate, wine and traditionalchimney cakes. If you are fortunate, you may see some of Budapest’s olderresidents ballroom dancing on the ice. Ticketprices: adult from ￡3.50, child free Bite-Size,Poland
本试卷分第Ⅰ卷（听力），第II卷（英语知识运用）和第III卷（读写能力测试）三部分。满分为100 分，考试用时为100 分钟。考试结束时，请将试卷全部上交。 题号第Ⅰ卷第II卷第III卷总分 得分 第Ⅰ卷 得分听力（共三节，15小题，每题1分；满分15分） 评卷人 做题时，先将答案划在试卷上。录音内容结束后，你将有时间将试卷上的答案转涂到答题卡上。 第一节（共5小题；每小题1分，满分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，你将有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 is the woman probably doing? A. Giving a speech. B. Preparing for her speech. C. Watching TV. 2. What does the man mean? A. He can play the computer games. B. Mark should practice his drawing.
C. Mark should go over his lessons. 3. Where are the two speakers? A. At home. B. In a restaurant. C. On the street. 4. What’s the probable relationship between the two speakers? A. Father and daughter. B. Boss and employee. C. Teacher and student. 5. What will the man do this Sunday? A. Visit some small rooms. B. Go to the zoo. C. Climb a hill. 第二节 听下面2段材料。每段材料后有几个小题，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。听每段材料前，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。每段材料读两遍。 听下面一段材料，回答第6至第8题。 6. How long has Peter Waters lived here? A. A few months. B. About twenty years. C. Nearly the same as the man. 7. Where does this conversation probably take place? A. On the bus. B. On the street. C. At the police office. 8. What is Peter Waters’house like? A. Old and red. B. New and blue. C. Old and blue. 听下面一段材料，回答第9至第11题。
长郡中学高一上学期英语期中考试试卷内容摘要 第一部分听力技能（共三节，满分18分）做听力部分时，请先在试题卷上作答。听力部分结束前，你将有两分钟的时间将第1至第15小题的答案转涂到答题卡上，将第16至18小题的答案转写到答题卡上。 第一节（共5小题；每小题1分，满分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，并标在试题卷的相应位置。听每段对话前，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。每段对话仅读一遍。 1. Where does the conversation probably take place? A. In a taxi. B. At a bus stop. C. In a restaurant. 2. When does the shop open？ A. At 8:30. B. At 9;30. C. At 9:10. 3. Where is David? A. In the hospital. B. At the cinema. C. At a party. 4. How many cigarettes does the man smoke a day? A. At most 40. B. At most 50. C. At most 60. 5. Why does the man want to change his seat? A. Because his seat is in the smoking area. B. Because he wants to get a good view.
四川省成都外国语学校2018-2019学年高一下学期入学考试 英语试卷 注意事项： 1、本试卷分第I卷（选择题）和第II卷（非选择题）两部分。 2、本堂考试（听力加笔试）共150分钟，听力满分100，笔试满分150； 3、答题前，考生务必先将自己的姓名、学号填写在答题卡上，并使用2B铅笔填涂。 4、考试结束后，将答题卡交回。 第I卷（选择题共70分） 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。 A In the coming months, we are bringing together artists from all over the globe. to enjoy speaking Shakespeare’s plays in their own language, in our Globe, within the architecture Shakespeare wrote for. Please come and join us. National Theatre of China Beijing |Chinese This great occasion(盛会) will be the National Theatre of China’s first visit to the UK. The company’s productions show the new face of 21st century Chinese theatre. This production of Shakespeare’s Richard III will be directed by the National’s Associate Director，Wang Xiaoying. Date & Time : Saturday 28 April,2.30pm & Sunday 29 April,1.30pm & 6.30pm Marjanishvili Theatre Tbilisi | Georgian One of the most famous theatres in Georgia, the Marjanishvili, founded in 1928,appears regularly at theatre festivals all over the world. This new production of It is helmed（指导）by the company’s Artistic Director Levan Tsuladze. Date & Time :Friday 18May,2.30pm & Saturday 19May,7.30pm Deafinitely Theatre London | British Sign Language （BSL） By translating the rich and humourous text of Love’s Labour’s Lost into the physical language of BSL, Deafinitely Theatre creates a new interpretation of Shakespeare’s comedy and aims to build a bridge between deaf and hearing worlds by performing to both groups as one audience. Date & Time : Tuesday 22 May,2.30pm & Wednesday 23 May,7.30pm Habima National Theatre Tel Aviv | Hebrew The Habima is the centre of Hebrew-language theatre worldwide ,Founded in Moscow after the 1905 revolution, the company eventually settled in Tel Aviv in the late 1920s,Since 1958,
试卷第1页，总5页 湖南省长沙市长郡中学2018-2019学年高一下学期 入学考试-数学试题 第I 卷（选择题) 一、单选题 1．已知}3{1 A =，，5{}34 B =，，，则集合A B =I （ ） A ．{}3 B ．{4}5， C ．15}2{4，，， D ．{345}， ， 2．已知函数31(0)()2(0) x a x f x x x -?+≤=?+>?，若((1))18f f -=，那么实数a 的值是（ ） A ．4 B ．1 C ．2 D ．3 3．已知()f x =22x x -+,若()3f a =,则()2f a 等于 A ．5 B ．7 C ．9 D ．11 4．设α是第三象限角，且cos cos 22αα =-，则2α所在象限是（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限 5 ） A ．00sin15cos15 B ．22cos sin 1212ππ- C ．0 01tan151tan15+- D 6．已知AD ，BE 分别为ABC ?的边BC ，AC 上的中线，且AD a =u u u r r ，BE b =u u u r r ，则BC uuu r 为（ ） A ．4233a b +r r B ．2433a b +r r C ．2233a b -r r D ．2433b a -r r 7．函数()f x 是定义在R 上的奇函数，当0x ≥时，()f x 为减函数，且()11f -=，若(2)1f x -≥-，则x 的取值范围是（ ） A ．(,3]-∞ B ．(,1]-∞ C ．[3,)+∞ D ．[1,)+∞ 8．已知点(0,1)A ，(1,2)B ，(2,1)C --，(3,4)D ，则向量AB u u u v 在CD uuu v 方向上的投影为（ ）
2018～2019学年度第二学期《英语》期末考试试卷(A卷) 班级学号姓名总分 (考试形式：闭卷时间：120分钟) 适用班级：高一英语 说明: 1. 本试卷分第I卷(选择题)和第II卷(非选择题)两部分, 共10 页6大题。 2. 满分150分; 答题时间120分钟。 3. 卷I答案需用2B铅笔填涂到答题卡上相应题号下，卷II答案用黑色水笔、黑色钢笔 书写到答题卡上。铅笔书写卷II内容不得分。 第I卷（共90分） 第一部分听力（共15小题；每小题1分, 满分15分） 略 第二部分：英语知识运用(共两节，满分45分) 第一节单项填空（共10小题；每小题1分, 满分15分） 从A、B、C及D四个选项中, 选出可以填入空白处的最佳选项。 16. On this map what does a star ________? A. tell B. represent C. say D. mean 17. I first met Mr Smith in America. He ________ at Stanford University then. A. studied B. had studied C. is studying D. was studying 18. Our bodies are strengthened by taking exercise. ________, our minds are developed by learning. A. Possibly B. Likely C. Similarly D. Generally 19. ________, most teenagers now listen to rock music. However, John likes classical music better. A. In a word B. In general C. In time D. In total 20. The letter “X” can be used ________ an unknown number. A. to expressing B. to express C. expressing D. expression
成都七中2018-2019学年高一上期入学考试 英语试卷 说明: 本试卷共两卷, 第一卷和第二卷。第一卷的答案请涂在答题卡上, 第二卷的答案请写在答题卡上的规定位置。交卷时交答题卡。试卷总分为150 分, 考试时间为120 分钟。第一卷（选择题，共120 分） 第一部分听力测试（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 should they do now? A. Cut the grass. B. See a film. C. Do some cleaning. 2. Who often calls home? A. The woman speaker. B. Both the woman and the man speaker. C. The man speaker. 3. What can we learn from their talk? A. Bill will be back just in a moment. B. The man and the woman will return before Bill comes. C. Writing a message for Bill will take too much time. 4. What is the man? A. A student. B. A doctor. C. A farmer. 5. How long did the woman stay in Canada? A. 3 days. B. 5 days. C. 7 days. 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。每段对话或独白读两遍。 听第6 段材料，回答第6 至8 题。 6. Why was Jane expecting a telephone call from Jack? A. Jack phoned from Chicago. B. Jane missed Jack very much. C. Jack wrote a card from Chicago. 7. Where was Jack calling from? A. The Ambassador Hotel in Los Angeles. B. The airport in Los Angeles.
测试卷30 一、选择题 1.代数式ab ab b b a a ++的所有不同的值有（ ） A.2个 B.3个 C.4个 D.无数个 2.一只青蛙在10m 深的井底，它每小时往上爬1m ，但又下滑0.6m ，这只青蛙至少要（ ）小时才能爬到地面 A.26 B.25 C.24 D.23或24 3.已知△ABC 的三边为a,b,c ，且满足224224c a b c b a +=+，则△ABC 是（ ） A.等腰三角形 B.直角三角形 C.等腰直角三角形 D.等腰或直角三角形 4.已知a c b a b c b a c c b a ++-=+-=-+，则abc a c c b b a ))()((+++的值为（ ） A.8 B.1 C.—1或8 D.—1或1 5.某家电公司销售某种型号的彩电，1月份销售每部彩电的利润是售价的25％，2月份每部彩电的售价调低10％而进价不变，销售件数比1月份增加80％，那么该公司2月份销售彩电的利润总额比1月份利润总额增长（ ） A.2％ B.8％ C.40.5％ D.62％ 6.在锐角△ABC 中，AE ⊥BC 于E ，D 为AB 边上一点，如果BD=2AD,CD=8,,43sin =∠BCD 那么AE 的长为（ ） A.3 B.6 C.7.2 D.9 7.有一张矩形纸片ABCD ，其中AD=4cm ，上面有一个以AD 为直径的半圆，正好与对边BC 相切（如图30-1），将它沿DE 折叠，使A 点落在BC 上（如图30-2），这时，半圆还露在外面的部分（阴影部分）的面积是（ ） A.2)322(cm -π B.2 )32 1(cm +π C.2)334(cm -π D.2)332(cm +π 8.已知△ABC 内一点P ，连接AP 、BP 、CP 并延长分别与BC 、AC 、AB 交于D 、E 、F ，则CF CP BE BP AD AP ++等于（ ） A.1 B.21 C.2 D.3 1 二、填空题 9.已知,53 1,2)31 (==--n m 则n m -29的值为_____________. 10.某厂接受一批零件加工任务，若全分给甲车间加工，则平均没人加工a 件，若全分给乙车间加工，则平均每人加工b 件，现给两车间同时加工，则平均每人加工____________件。 11.如图30-3所示，正方形ABCD 的边长为1，点P 、Q 分别在BC 、CD 上，△APQ 是等边三角形，则PQ 的长为____________. 12.已知,0,09,0>=++=+-a c b a c b a 且即则二次函数c bx ax y ++=2 的图像的顶
湖南省长沙市长郡中学2019-2020学年高一数学上学期期中试题（含 解析） 一、选择题：本大题共15个小题，每小题3分，共45分，在每个小题给出的四个选项中，只有一项是符合题目要求的． 1.已知集合{}12A x x =-<<，{}220B x x x =-<，则A B =（ ） A. ()10 -， B. ()02， C. ()20-， D. ()22-， 【答案】B 【解析】 【分析】 解一元二次不等式求得集合B ，由此求得A B . 【详解】由()2220x x x x -=-<，解得02x <<，所以()0,2A B =. 故选：B. 【点睛】本小题主要考查集合交集的概念和运算，考查一元二次不等式的解法，属于基础题. 2.函数() f x =的定义域为（ ） A. (]30-， B. ()31-， C. ()3-∞-， D. ()(]331-∞--，， 【答案】A 【解析】 【分析】 根据偶次方根的被开方数为非负数，分式分母不为零列不等式组，解不等式组求得函数的定义域. 【详解】依题意，12030 x x ?-≥?+>?，解得30x -<≤. 故选：A. 【点睛】本小题主要考查函数定义域的求法，主要是偶次方根的被开方数为非负数，分式分母不为零，属于基础题.
3.若函数f （x ）＝()()()211 1a x x ax x ?-≥??+，即2a <；由1x <时，()1f x ax =+是增函数，得0a >；又()f x 的定义域为R ，所以在1x =应有12+≤-a a ，即12a ≤，综上，实数a 的取值范围是1(0,]2 ，故选C. 【点睛】本题主要考查分段函数的单调性,容易忽略对分界点左右两边的函数值大小关系进行讨论. 4.下列函数既是偶函数，又在（0，+∞）上为增函数的是（ ） A. y x = B. y ＝2x - C. y ＝|x| D. 1y x = 【答案】C 【解析】 【分析】 逐一判断每个函数的奇偶性和单调性，可得正确答案. 【详解】对于A ， y x =，为奇函数，不符合题意；对于B ，2y x =-，为偶函数，在(0,)+∞上单调递减，不符合题意；对于C ， y x =，既是偶函数，又在(0,)+∞上单调递增，符合题意；对于D ，1 y x =，为奇函数，不符合题意；故选C. 【点睛】本题主要考查常见函数的单调性和奇偶性的判断，较基础.