2022年4月湖南湖北重庆湘鄂渝大联考雅礼十六校2022届高三毕业班第二次大联考数学试题及答案

一、单选题二、多选题1.设且，则“”是“”成立的（ ）A ．充分而不必要条件B ．必要而不充分条件C ．充分必要条件D ．既不充分也不必要条件2. 设，，，则的大小关系为（ ）A．B．C．D．3. 已知全集，集合，（ ）A．B．C．D．4. 假设零八度音，即最低八度音中的音do 每秒的频率为1，则第个八度音中第个音每秒的频率满足，其中为钢琴上半音音节里的其他任意一个音，比如音sol对应 ，音la 对应.由此可以得出，第4个八度音中音sol 的频率大约是第1个八度音中音la的频率的（ ）（参考数据：）A ．6倍B ．7倍C ．8倍D ．9倍5. 已知全集，集合，，则（ ）A．B．C．D．6. 函数的最小正周期是（ ）A．B ．C．D．7. 已知函数，则下列结论中正确个数为（ ）①著对于任意，都有成立，则②若对于任意，都有成立，则③当时，在上单调递增，则的取值范围为④当时，若对任意的，函数在至少有两个零点，则的取值范围为A ．1个B ．2个C ．3个D ．4个8.已知正三棱柱，侧面的面积为，则该正三棱柱外接球表面积的最小值为（ ）A．B．C．D．9.已知数列满足，，则（ ）A．是递减数列B．C．D．10.已知向量，，，则下列命题正确的是A ．若，则B ．若在上的投影向量长度为，则向量与的夹角为C ．存在，使得D ．的最大值为11. 我国首先研制成功的“双曲线新闻灯”，如图，利用了双曲线的光学性质：，是双曲线的左､右焦点，从发出的光线射在双曲线右支上一点，经点反射后，反射光线的反向延长线过；当异于双曲线顶点时，双曲线在点处的切线平分.若双曲线的方湖南省长沙市雅礼中学等十六校2022届高三下学期第二次联考数学试题(高频考点版)湖南省长沙市雅礼中学等十六校2022届高三下学期第二次联考数学试题(高频考点版)三、填空题四、解答题程为，则下列结论正确的是（）A ．射线所在直线的斜率为，则B．当时，C ．当过点时，光线由到再到所经过的路程为13D．若点坐标为，直线与相切，则12.已知函数，则下列结论正确的是（ ）A ．在上的最小值为B ．的图象与轴有3个公共点C．的图象关于点对称D．的图象过点的切线有3条13. 已知函数，若关于的方程恰有3个不相等的实数根，则实数的取值范围是______________；若关于的方程恰有4个不相等的实数根，则的取值范围是_____________.14. 已知直线与圆在第一象限内相切于点，并且分别与轴相交于两点，则的最小值为_________．15. 已知数列为递减数列，其前项和，则实数的取值范围是___________.16. 如图，已知直三棱柱的体积为（其中底面三角形为锐角三角形），．(1)求点到平面的距离；(2)求平面与平面夹角的余弦值．17. 已知抛物线的焦点为F ，是抛物线C 上一点，且.(1)求抛物线C 的方程；(2)设直线AB 与抛物线C 交于A ，B 两点，且直线PA ，PB关于直线对称，当时，求直线AB 的方程.18.如图，在三棱柱中，，（1）求证：；（2）若四边形为正方形，为正三角形，M 是的中点，求二面角的余弦值19. 在直角坐标系中，椭圆C ：+=1经过A （，0），B （0，2）两点．（1）求椭圆C 的方程；（2点P 为椭圆上任一点，求△ABP 面积的最大值，并求出△ABP 面积最大值时点P 的坐标．20. 有两个盒子，其中1号盒子中有3个红球，2个白球；2号盒子中有6个红球，4个白球．现按照如下规则摸球．从两个盒子中任意选择一个盒子，再从盒中随机摸出2个球，摸球的结果是一红一白．(1)你认为较大可能选择的是哪个盒子?请做出你的判断，并说明理由；(2)如果你根据（1）中的判断，面对相同的情境，作出了5次同样的判断，记判断正确的次数为X ，求X 的数学期望（实际选择的盒子与你认为较大可能选择的盒子相同时，即为判断正确）．21. 已知椭圆的离心率为，长轴的左端点为.(1)求C 的方程；(2)过椭圆C 的右焦点的任一直线l 与椭圆C 分别相交于M ，N 两点，且AM ，AN 与直线，分别相交于D ，E 两点，求证：以DE 为直径的圆恒过x 轴上定点，并求出定点.。

2024届湖南省大联考雅礼十六校高三下学期第二次联考全真演练物理试题学校：_______ 班级：__________姓名：_______ 考号：__________（满分：100分时间：75分钟）总分栏题号一二三四五六七总分得分评卷人得分一、单项选择题（本题包含8小题，每小题4分，共32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）(共8题)第(1)题小型交流发电机中，矩形金属线圈在匀强磁场中匀速运动，产生的感应电动势与时间呈正弦函数关系，如图2所示．此线圈与一个R=10Ω的电阻构成闭合电路．不计电路的其他电阻，下列说法正确的是A．交变电流的周期为0.125sB．交变电流的频率为8HzC．交变电流的有效值为AD．交变电流的最大值为4A第(2)题如图所示，斜面固定且光滑。

分别用力F1、F2将同一物体由静止起以相同的加速度，从斜面底端拉到斜面顶端。

物体到达斜面顶端时，力F1、F2所做的功分别为W1、W2，则（ ）A．F1<F2,W1<W2B．F1<F2,W1=W2C．F1>F2,W1>W2D．F1>F2,W1=W2第(3)题如图所示，一小车在平直道路上向右运动，车内一条光滑轻绳ACB两端固定在水平车顶上，一质量为m的小圆环穿过轻绳且可在绳上自由滑动。

某段时间内轻绳AC、BC两部分与水平车顶的夹角分别为30°和60°。

将小圆环视为质点，则在这段时间内（ ）A．小车做匀速运动B．小车做匀减速运动C．轻绳AC段的拉力大于BC段的拉力D．轻绳AC段的拉力小于BC段的拉力第(4)题在跑步比赛中，第四跑道的运动员起跑时秒表开始计时，运动员起跑后沿直线刚好跑到20m处时秒表示数为2.289s，根据以上信息（）A．位移大小小于路程B．可以算得平均速度大小C．可以算得平均加速度大小D．可以算得瞬时速度大小第(5)题如图所示，手推车的篮子里装有一篮球，篮子底面平行于斜面且与靠近女孩的右侧面垂直。

大联考雅礼十六校2022届高三第二次联考化学总分：100分时量：75分钟注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在试卷和答题卡指定位置上．2．回答选择题时，选出每小题答案后，用2B铅笔把答题卡对应题目的答案标号涂黑．如需改动，用橡皮擦干净后，再选涂其他答案标号．回答非选择题时，将答案写在答题卡上．写在本试卷上无效．3．考试结束后，将本试卷和答题卡一并交回．可能用到的相对原子质量：H-1 C-12 N-14 O-16 Fe-56 Cu-64 Zn-65一、选择题：本题共10小题，每小题3分，共30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.下列选自《天工开物》的语句中，包含过滤操作的是（）A.取入缸中浸三个时，漉入釜中煎炼B.炉甘石烟洪飞损C.其底铺薪，发火煅红D.倾入盆中，经宿结成白雪2.配制一定物质的量浓度的溶液的实验中，可不选用的仪器是（）3．下列说法不正确的是（）。

A．纸层析法中的展开剂之所以能够展开的主要原理是毛细现象B．银氨溶液需现用现配，不能留存，否则久置后会转变成氮化银，容易爆炸C．排除碱式滴定管尖嘴的气泡时，应挤压玻璃球，使液体快速流出向下冲出气泡D．制备硫酸亚铁铵晶体时，可用少量酒精对晶体进行洗涤，以除去附着在晶体表面的水分4.下列方案设计、现象和结论都正确的是（）5.设N A为阿伏伽德罗常数。

下列说法错误的是（）A.1 mol白磷分子中含有P-P共价键数为6N AB.1 mol NH4Cl溶于水形成的溶液中阳离子总数大于N AC.1 molCu与足量的S蒸气反应，转移电子数为N AD.常温下，pH=10的NaHCO3溶液中，由水电离产生的H+数为10-4N A6.活性炭可以高效处理二氧化氮污染。

在温度为T℃时,向体积不等的恒容密闭容器中分别加入足量活性炭和1 mol NO2,发生反应:2C(s)+2NO2(g)⇌N2(g)+2CO2(g),反应相同时间,测得各容器中NO2的转化率与容器体积的关系如图所示。

2022届高三第二次联考语文（附参考答案）总分：150分时量：150分钟注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在试卷和答题卡指定位置上．2．回答选择题时，选出每小题答案后，用2B铅笔把答题卡对应题目的答案标号涂黑．如需改动，用橡皮擦干净后，再选涂其他答案标号．回答非选择题时，将答案写在答题卡上．写在本试卷上无效．3．考试结束后，将本试卷和答题卡一并交回．一、现代文阅读（35分）（一）现代文阅读Ⅰ（本题共5小题，19分）阅读下面的文字，完成1～5题。

材料一：《红楼梦》是一部伟大的小说，在叙事上采用了曲折复义的表达方式，明确说小说故事是假语存（贾雨村）、真事隐（甄士隐），在真假、有无、虚实之间，《红楼梦》中有大量的艺术空白点，也就是“不写之写”。

“不写之写”应该主要从美学修辞学上来理解，而不是从索隐或随意联想的角度来理解。

遗憾的是，“不写之写”大多数情况被属于历史学范畴的考证派或非文学立场的索隐派所笼罩。

一部艺术作品，所能写到的东西相对于无始无终、波澜壮阔的生活来讲总是有限的。

也就是说，“不写之写”在“写”和“不写”之间有一个辩证关系。

对于作家来说，“写”什么是值得反复思量和推敲的，“写”是主要的，是呈现给广大读者和观众的，是他们能够直接感知和认知的，是直接诉诸读者直觉经验的。

至于“不写”，则属于并不完全由作家掌控的部分，由“写”唤起人们对“不写”感知、认知，这对作家来说不是一个轻而易举的技能，对阅读来说不是轻易能获得的效果。

那么作家和作品中的“不写之写”究竟该怎么理解?作家的“不写之写”，应该是服务于其艺术目的的或者一定的艺术目的的。

作家通过作品写出来的东西，虽然是局部的，但可以意识到它的整体，这才是“不写之写”。

换言之，是有限与无限的统一，是确定性和不确定性的统一，而并不是所有的空白、笔触不到的都叫“不写之写”，不是在阅读过程中随意生发、随意联想到的内容都是“不写之写”。

从《红楼梦》的文本举例，如第三十五回宝玉与薛宝钗丫鬟莺儿的对话。

大联考雅礼十六校2022届高三第二次联考物理总分：100分时量：75分钟注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在试卷和答题卡指定位置上．2．回答选择题时，选出每小题答案后，用2B铅笔把答题卡对应题目的答案标号涂黑．如需改动，用橡皮擦干净后，再选涂其他答案标号．回答非选择题时，将答案写在答题卡上．写在本试卷上无效．3．考试结束后，将本试卷和答题卡一并交回．一、选择题：本题共6小题，每小题4分，共24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.“快堆”中的钚239裂变释放出快中子，反应区周围的铀238吸收快中子后变成铀239，铀239很不稳定，经过两次β衰变后变成钚239，从而实现钚燃料的“增殖”。

某5kg的钚239核燃料，每秒钟约有1.1×1013个钚239发生自然衰变，放出α粒子，已知钚239原子的α衰变质量亏损了0.0057u。

已知1u相当于931.5MeV的能量，α粒子的在核燃料中减速会释放出热能，下列说法正确的是A. 铀239两次β衰变后，比结合能减小B. 原子核衰变时，动量守恒，质量不守恒C. 原子核衰变时释放的α射线比β射线穿透能力更强D. 假设衰变释放的能量最终变成内能，该5kg的钚239核燃料的发热功率约为10W2.有6个小金属球分别固定在如图所示的正六边形的顶点上，球7处于正六边形中心位置，现使球2带正电，球7带负电，要使球7在中心位置获得水平向右的加速度，下列说法正确的是A.使球1带上正电荷，其他球不带电B.使球4、5同时带上电荷，其他球不带电C.不可能只让球4带上电荷，其他球不带电D.不可能让球3、4、5、6同时带上电荷，其他球不带电3.如图，竖直放置的等螺距螺线管是用长为l 的透明硬质直管（内径远小于h ）弯制而成，高为h ，将一光滑小球自上端管口由静止释放，从上向下看（俯视），小球在重复作半径为R 的圆周运动。

小球第n 次圆周运动所用的时间为2224πRl ngh l h - 2224πn Rl gh l h -2224π(1)Rl n n gh l h--2222π(1)Rl n n gh l h--4．如图所示，发电机两磁极N 、S 间的磁场可视为水平向右的匀强磁场，磁感应强度大小为B 。

2022届湖南省雅礼十六校高三第二次大联考英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读理解New Year’s Food Around the WorldHoppin' John, American SouthA major New Year's food tradition in the American South, Hoppin' John is a dish of pork-flavored field peas or black-eyed peas (symbolizing coins) and rice, frequently served with collards or other cooked greens (as they're the color of money) and cornbread (the color of gold). The dish is said to bring good luck in the new year.Different folklore traces the history and the name of this meal, but the current dish has its roots in African and West Indian traditions and was most likely brought over by slaves to North America. A recipe for Hoppin' John appears as early as 1847 in Sarah Rutledge's "The Carolina Housewife" and has been reinterpreted over the centuries by home and professional chefs.The dish reportedly got its name in Charleston, South Carolina, and it is a veritable staple of Lowcountry cooking.Twelve grapes, SpainThe people of Spain traditionally watch a broadcast from Puerta del Sol in Madrid, where revelers gather in front of the square's clock tower to ring in the New Year.Those out in the square and those watching at home partake in an unusual annual tradition: At the stroke of midnight, they eat one grape for every toll of the clock bell. Some even prep their grapes -- peeling and seeding them -- to make sure they will be as efficient as possible when midnight comes.The custom began at the turn of the 20th century and was purportedly thought up by grape producers in the southern part of the country with a bumper crop. Since then, the tradition has spread to many Spanish-speaking nations.Soba noodles, JapanIn Japanese households, families eat buckwheat soba noodles, or toshikoshi soba, at midnight on New Year's Eve to bid farewell to the year gone by and welcome the year to come. The tradition dates back to the 17th century, and the long noodles symbolize longevity and prosperity.In another custom called mochitsuki, friends and family spend the day before New Year's pounding mochi rice cakes. Sweet, glutinous rice is washed, soaked, steamed and pounded into a smooth mass. Then guests take turns pinching off pieces to make into small buns that are later eaten for dessert.1．Which city may you travel to if you want to taste fruits on New Year’s Eve? A．SavannahB．Rio de JaneiroC．MadridD．Sapporo2．These traditions share the following features except______A．They symbolize people’s hope for the upcoming year.B．All of them are not eaten at midnight on New Year’s Eve.C．They reflect the values of a nation to a certain degree.D．They had their origin in the countryside.3．In which of the magazine will you probably find this article?A．Food and HealthB．Famous CuisineC．Global CultureD．Delicacy HuntEver wondered if dogs can learn new words? Yes, say researchers as they have found that talented dogs may have the ability to grasp new words after hearing them only four times.While previous evidence seems to show that most dogs do not learn words, unless eventually very well trained, a few individuals have shown some extraordinary abilities, according to a study published in the journal Scientific Reports.“We wanted to know under which conditions the gifted dogs may learn novel words,” said researcher xuekw Claudia Fugazza from the Eötvös Loránd University in Hungary. For the study, the team involved two gifted dogs, Whisky and Vicky Nina. The team exposed the dogs to the new words in two different conditions.In the exclusion-based task, presented with seven known toys and one new toy, the dogs were able to select the new toy when presented with a new name. Researchers say this provesthat dogs can choose by exclusion when faced with a new word, they selected the only toy which did not have a known name.However, this was not the way they would learn the name of the toy. In fact, when they were presented with one more equally new name to test their ability to recognize the toy by its name, the dogs got totally confused and failed.The other condition, the social one, where the dogs played with their owners who pronounced the name of the toy while playing with the dog, proved to be the successful way to learn the name of the toy, even after hearing it only 4 times. “The rapid learning that we observed seems to equal children’s ability to learn many new words at a fast rate around the age of 18 months,” Fugazza says. “But we do not know whether the learning mechanisms(机制) behind this learning are the same for humans and dogs. ”To test whether most dogs would learn words this way, 20 other dogs were tested in the same condition, but none of them showed any evidence of learning the toy names, confirming that the ability to learn words rapidly in the absence of formal training is very rare and is only present in a few gifted dogs.4．What was the purpose of the study published in Scientific Reports?A．To better train dogs’ ability to learn new words.B．To further confirm previous evidence about dogs.C．To prove extraordinary memory abilities of gifted dogs.D．To explore favorable conditions for gifted dogs’ new-word learning.5．How did the dogs react when exposed to two new names in the first condition?A．Slow to understand.B．Quick to learn.C．At a loss.D．In a panic. 6．What was found about dogs’ new-word learning in the social condition?A．Learning through playing applied to most dogs.B．The social condition helped dogs learn new words.C．Dogs’ new-word learning turned out to be less effective.D．Dogs shared similar learning mechanisms with children.7．Which of the following is the best title for the text?A．Gifted Dogs Can Learn New Words Rapidly.B．Dogs Identify Newly-named Toys by Exclusion.C．Dogs Can Acquire V ocabulary through Tons of Training.D．Gifted Dogs Have Similar Learning Abilities to Humans.In the recent nearly four decades, private prisons in the U.S. have been widely denounced and criticized by people from all walks of life for frequent scandals. Last year, UN human rights experts urged the U.S. to “eliminate all for-profit detention facilities”, saying that “detainees should not become units for profit,” according to an article published on the website of the UN.In the 1980s, in an effort to ease the burdens on overcrowded public prisons, the U.S. government started to contract some companies to run private prisons and pay them for services. Over the past nearly 40 years, private prisons have expanded rapidly and formed a highly profitable industry and huge lobbying groups.According to data released by the website of The Sentencing Project, aWashington-based advocacy group, in 2019, about 116,000 prisoners were held in private prisons in the U.S., representing 8 percent of the country’s total state and federal prison population. Meanwhile, more than 30 states were in partnership with companies running private prisons.The primary goal of private prisons is to profit from anything they deal in. There’s often a prison bed occupancy guarantee clause in the contracts between U.S. federal, state, and local governments and private prison operators, which stipulates that the government should guarantee a certain occupancy rate in prison beds; and if failing to reach the rate, it will need to pay compensations to private prison operators.A study conducted by the Washington State University found that private prisons lead to an average increase of 178 new prisoners per million population per year and longer sentences, especially in nonviolent crimes that have more leeway in sentencing guidelines, according to the study.Private prison operators have made big gains from inmate services. According to reports of U.S. media, in 2020, CoreCivic generated $1.9 billion in revenue, 82.2 percent of which came from its private prison operations. In the same year, the revenue of the GEO group reached $2.3 billion.Most private prisons in the U.S. are ill-equipped. They usually build their facilities to minimum standards required by contracts with governments, in a bid to reduce operating costs. Besides, private prisons are often understaffed and correctional officers there are of varying quality. Furthermore, some private prisons connive in gangsters and bullies“maintaining” order in prisons.Private prisons in the U.S. have turned prisoners into modern-day slaves. Inmates in private prisons are forced into high-intensity and long hours of work but are paid far less than the statutory minimum hourly wage in the country. Their basic human rights are hardly guaranteed.American journalist Shane Bauer had been undercover as a prison guard at a private prison in Winnfield, Louisiana. He exposed chaotic phenomena in the prison, including forced labor, exploitation, violence, maltreatment, and corruption.“A terrifying look into one of America’s darkest and deepest ongoing embarrassments,” commented well-known U.S. literary website Literary Hub on the book.8．The initial purpose to set up private prisons was to________.A．Provide the prisoners with worse condition to make them realize their fault. B．Improve the congested situation in state-owned prisons.C．Create huge profit for prison operating companies.D．Respond to the request of UN human rights experts.9．What is the purpose of Paragraph 4?A．To illustrate the dark side of private prisons.B．To criticize the injustice in American judiciary.C．To explain how this system go evil.D．To stress the inequality inside the prison.10．The underlined word in Paragraph 8 probably means_______.A．LegalB．AppropriateC．TheoreticalD．Required11．We can learn from the passage that______.A．Most of the prisoners are now locked up in private prisons.B．The equipment in the private prisons failed to meet the federal standard.C．The mafia-style governance exists in some private prisons.D．Shane Bauer conveyed his regret for the US directly in his book.One morning, when Gregor Samsa woke from troubled dreams, he found himselftransformed in his bed into a horrible insect. He lay on his armor-like back, and if he lifted his head a little he could see his brown belly, slightly domed and divided by arches into stiff sections. The bedding was hardly able to cover it and seemed ready to slide off any moment. His many legs, pitifully thin compared with the size of the rest of him, waved about helplessly as he looked.“What’s happened to me?” he thought. It wasn’t a dream. His room, a proper human room although a little too small, lay peacefully between its four familiar walls. A collection of textile samples lay spread out on the table—Samsa was a travelling salesman—and above it there hung a picture that he had recently cut out of an illustrated magazine and housed in a nice, gilded frame. It showed a lady fitted out with a fur hat and fur scarf who sat upright, raising a heavy fur muff (暖手筒) that covered the whole of her lower arm towards the viewer.Gregor then turned to look out the window at the dull weather. Drops of rain could be heard hitting the window, which made him feel quite sad. “How about if I sleep a little bit longer and forget all this nonsense,” he thought, but that was something he was unable to do because he was used to sleeping on his right, and in his present state couldn’t get into that position. However hard he threw himself onto his right, he always rolled back to where he was. He must have tried it a hundred times, shut his eyes so that he wouldn’t have to look at the floundering legs, and only stopped when he began to feel a mild, dull pain there that he had never felt before.He thought, “What a heavy career it is that I’ve chosen! Travelling day in and day out. Doing business like this takes much more effort than doing your own business at home, and on top of that there’s the curse of travelling, worries about making train connections, bad and irregular food, contact with different people all the time so that you can never get to know anyone or become friendly with them.” He felt a slight itch up on his belly; pushed himself slowly up on his back towards the headboard so that he could lift his head better; found where the itch was, and saw that it was covered with lots of little white spots which he didn’t know what to make of; and when he tried to feel the place with one of his legs he drew it quickly back because as soon as he touched it he was overcome by a cold tremble.He slid back into his former position. “Getting up early all the time,” he thought, “it makes you stupid. You’ve got to get enough sleep. Other travelling salesmen live a life of luxury. For instance, whenever I go back to the guest house during the morning to copy outthe contract, these gentlemen are always still sitting there eating their breakfasts. I ought to just try that with my boss; I’d get kicked out on the spot. But who knows, maybe that would be the best thing for me. If I didn’t have my parents to think about I’d have given in my notice a long time ago, I’d have gone up to the boss and told him just what I think, tell him everything I would, let him know just what I feel. He’d fall right off his desk! And it’s a funny sort of business to be sitting up there at your desk, talking down at your inferiors from up there, especially when you have to go right up close because the boss is hard of hearing. Well, there’s still some hope; once I’ve got the money together to pay off my parents’ debt to him—another five or six years I suppose—that’s definitely what I’ll do. That’s when I’ll make the big change.“First of all though, I’ve got to get up, my train leaves at five.”12．According to the passage, Gregor initially believes his transformation is a ________. A．curseB．diseaseC．nightmareD．fraud13．The author most likely includes a description of Gregor’s itch in paragraph 4 to________.A．remind the reader that Gregor has already turned into an insectB．stress the disconnection between Gregor’s thoughts and his actual situation C．present important details about what Gregor’s new body looks likeD．show that Gregor’s thoughts are focused on the changes to his body14．The passage most strongly suggests which of the following about Gregor’s attitude toward his profession?A．He is angry.B．He is eager to please.C．He is depressed.D．He is diligent.15．The main rhetorical (修辞的) effect of the final sentence of the excerpt （“First of all though, I’ve got to get up, my train leaves at five.”）is to ________.A．provide a solution to the conflict Gregor facesB．foretell the conflict between Gregor and his bossC．illustrate Gregor’s flexibility and ability to move onD．emphasize Gregor’s extreme sense of duty二、七选五To achieve something, you need the right mindset. You need a mindset that knows you can succeed at what you are aiming for. ____16____ Below are some pointers.You complain about life.____17____ Do you find yourself complaining about your situation, or what other people have said or done? If you do, it means that you do not accept the reality of your situation or past. That causes stress. Rather than complain, if you have the power, you should change your situation. If you cannot change your situation, then you need to accept it. If something cannot be changed, then you must change your attitude about it.You want a pain-free lifeDon't fear pain. Pain is a part of living. You cannot travel new paths and attain success without the pain of hard work, taking risks and making mistakes. Finally, pain makes you stronger. ____18____ Rather be pleased that you have the opportunity to learn new lessons.You blame others for your problemsIf you feel anger and resentment against others, blaming them for your problems, then you need to change your mindset. ____19____ They only make you bitter. Instead of being angry, choose to learn and grow from negative experiences, and then let them go. From today, you can choose your own path and it starts with choosing your thoughts.An effective mindset is one that makes the best use of your time, energy and skills to make positive change. ____20____A．Don’t complain or worry about pain.B．Watch what you say to yourself and others.C．Your mindset will determine your future path.D．Do you know how to have the right mindset?E．You will see it doesn’t serve to benefit your progress.F．These negative thoughts will not change other people.G．How do you know if you need to change your mindset?三、完形填空Changsha, capital of central China’s Hunan Province, is ___21___ itself into the country’s leading center of ___22___ manufacturing. The city’s cluster of engineering machinery companies has been included in China’s first list of 15 sophisticated manufacturing clusters.In recent years, Changsha has ___23___ promoted the high-quality development of its manufacturing industry, improved the sector’s comprehensive strength and optimized its industrial ___24___. The city has continuously ___25___ its innovation capacity and seen a ___26___ of major innovation outcomes. It has also promoted the extensive application of information technologies in industrialization, making its ___27___ manufacturing a___28___.“As a ___29___ in building the cluster of engineering machinery companies, the Changsha Construction Machinery Industry Association encouraged companies to ___30___ over 220 new products and technologies, among which five products are the first of their kind in China and even the world, breaking technological ___31___,” said Wu Jingsheng, executive vice president of the association.The association also ___32___ in the second Changsha International Construction Equipment Exhibition held in Changsha and organized five themed forums. It also took part in the first China Construction Machinery Leasing Conference held in the city, which attracted over 1,500 leasing companies for offline activities and over 20,000 enterprises for ___33___ activities.“Changsha will build itself into a leading advanced manufacturing cluster in China and ___34___ an example in this regard, so as to drive ___35___ industrial development in the Changsha-Zhuzhou-Xiangtan metropolitan area and the rest of Hunan Province,” said Kang Xiaoping, director of the Changsha municipal industry and information technology bureau. 21．A．transforming B．reforming C．catering D．devoting 22．A．industrial B．major C．advanced D．apical 23．A．randomly B．vigorously C．casually D．frequently 24．A．pattern B．standard C．design D．prospect 25．A．adjusted B．renewed C．enhanced D．accelerate 26．A．discovery B．tendency C．revise D．stream27．A．unmanned B．sensitive C．special D．intelligent 28．A．helping hand B．calling card C．growing trend D．pulling arm 29．A．tutor B．pioneer C．follower D．core 30．A．put up B．set off C．roll out D．look into 31．A．steppingstones B．bottlenecks C．drawbacks D．ties 32．A．participated B．appeared C．directed D．starred 33．A．other B．online C．relevant D．vis-à-vis 34．A．build up B．turn to C．set up D．beat down 35．A．coordinated B．decentralized C．prosperous D．healthy四、用单词的适当形式完成短文阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。

秘密★启用前2022年4月湘鄂渝大联考雅礼十六校2022届高三下学期4月第二次联考数学试题★祝考试顺利★(含答案)总分：150分时量：120分钟一、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={{∅}，∅},下列选项中均为A的元素的是A. ⑴⑵B. ⑴⑶C. ⑵⑶D. ⑵⑷2.某圆锥高为1，底面半径为，则过该圆锥顶点的平面截此圆锥所得截面面积的最大值为A. 2B.C.D. 13.有一个非常有趣的数列1⎧⎫⎨⎬⎩⎭n叫做调和数列，此数列的前n项和已经被研究了几百年，但是迄今为止仍然没有得到它的求和公式，只是得到它的近似公式：当n很大时，，其中γ称为欧拉-马歇罗尼常数，…，至今为止都还不确定γ是有理数还是无理数．由于上式在n很大时才成立，故当n较小时计算出的结果与实际值之间是存在一定误差的，已知ln20.693≈，ln10 2.303≈．用上式估算出的ln5与实际的ln5的误差绝对值近似为（）A. 0.003B.0.096C.0.121D. 0.2164.在正三角形ABC中，M为BC中点,P为三角形内一动点，且满足PA=2PM，则最小值为A. 1B.C.D.5.已知,的一条切线与有且仅有一个交点，则A. k=-3，b=3B. k=-3，b=-3C. k=3，b=3D. k=3，b=-36.从正360边形的顶点中取若干个，依次连接，构成的正多边形的个数为A. 360B.630C.1170D. 8407.已知数列满足则A. B. C. D.8.P、Q、R是等腰直角三角形ABC（)内的点，且满足，则下列说法正确的是A.B.C.D.二、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，部分选对的得2分，有选错的得0分.9.下列说法正确的有A.一组数据按大小顺序排列，位于最中间的一个数据就是中位数B.分层抽样为保证每个个体等可能入样，需在各层中进行简单随机抽样C.若A∩B为不可能事件，A∪B为必然事件，则事件A与事件B互为对立事件D. 线性回归分析中，的值越小，说明残差平方和越小，则模型拟合效果越好10.已知曲线C：，焦点为F1、F2，O（0,0），过A（0，2）的直线l与C交于M、N 两点，则下列说法正确的有 A.x+y=0是C 的一条对称轴 B. C 的离心率为 C. 对C 上任意一点P 皆有D.最大值为11. 勒洛四面体是一个非常神奇的“四面体”，它能在两个平行平面间自由转动，并且始终保持与两平面都接触，因此它能像球一样来回滚动.勒洛四面体是以正四面体的四个顶点为球心，以正四面体的棱长为半径的四个球的公共部分，如图所示，若正四面体ABCD 的棱长为a ，则（ ）A ．能够容纳勒洛四面体的正方体的棱长的最小值为aB ．勒洛四面体能够容纳的最大球的半径为614a ⎛⎫- ⎪ ⎪⎝⎭C ．勒洛四面体的截面面积的最大值为()212π34a - D ．勒洛四面体的体积3326π,128V a a ⎛⎫∈ ⎪ ⎪⎝⎭12. 下列不等式正确的有 A.B.C. D.三、填空题：本题共4小题，每小题5分，共20分.13.已知复数，，则=14.设函数，参数，过点（0,1）作曲线的切线（斜率存在），则切线斜率为 15.已知双曲线的左右焦点分别为F 1,F 2,若C 与直线y=x 有交点，且双曲线上存在不是顶点的P,使得，则双曲线离心率取值范围范围为 16.坐标平面上有一环状区域由圆的外部与圆的内部交集而成。

2022届湖南省雅礼十六校高三第二次大联考英语试题一、听力选择题1. What time is it now?A．8:45.B．9:00.C．9:15.2. What are the speakers talking about?A．What pet David wants.B．Why David likes animals.C．How to take care of rabbits.3. What will Mark do with the book?A．Keep it.B．Return it.C．Renew it.4. What do we know about the man?A．He owns a restaurant.B．He is skilled in cooking.C．He likes Italy.5. On which day does the woman like to go to the zoo?A．Sunday.B．Saturday.C．Friday.二、听力选择题6. 听下面一段较长对话，回答以下小题。

1. What do we know about the newly-opened ski area?A．It covers a large area.B．It suits beginners.C．It is free of charge.2. What does the man advise Lucy to do?A．Do more active exercise.B．Take part in intense sports.C．Attend a training camp.7. 听下面一段较长对话，回答以下小题。

1. What is wrong with the woman?A．She has a fever.B．She has a headache.C．She has a sleeping problem.2. What did the woman do last night?A．She prepared for a meeting.B．She attended a meeting.C．She want to bed early.3. What does the man ask the woman to do?A．Quit the job.B．Take some medicine.C．Have a rest.8. 听下面一段较长对话，回答以下小题。

大联考雅礼十六校2022届高三第二次联考英语雅礼中学南雅中学宁乡一中浏阳一中常德一中永州一中邵阳二中郴州二中联合命制慈利一中衡东一中凤凰一中芷江民中韶山学校武汉二中孝感高中重庆八中审定：尹大龙.苏智方卢在愚Craig Johnson 校对：徐效实胡业芳总分：150分时量：120分钟考前须知：1.答卷前，考生务必将自己的姓名、准考证号填写在试卷和答题卡指定位置上.2.回答选择题时，选出每题答案后，用2B铅笔把答题卡对应题目的答案标号涂黑.如需改动，用橡皮擦干净后，再选涂其他答案标号.回答非选择题时，将答案写在答题卡上.写在本试卷上无效.3.考试结束后，将本试卷和答题卡一并交回.第一局部听力（共两节，总分值30分）做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每题1.5分，总分值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三个选项中选出最正确选项。

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。

例： How does the music make the man feel?A. £19.15.B.£9.18.C. £9.15.答案是C。

1.Why is Ann so upset?A. She didn't pass one of her exams.B. She is worrying about other lessons.C. She didn't finish her math homework.2.What does the woman usually eat?A. Junk food.B. Healthy food.C. Delivered food.3.What will the man probably do to stay warm?A. Turn on the heater.B. Use a blanket.C. Drink some hot chocolate.4.What arc the speakers mainly talking about?A. The man's hobby.B. The man's travel plan.C. The man's plan after graduating.5.What do the speakers think of the painting?A. Simple.B. Colorful.C. Complex.第二节（共15小题；每题L5分，总分值22・5分）听下面5段对话或独白。

2022届湖南省大联考雅礼十六校高三下学期第二次联考物理试题一、单选题 (共6题)第(1)题在利用光电管探究光电效应规律的实验中，当用不同波长的光照射光电管的阴极时，测出光电管的遏止电压与对应入射光的波长。

以遏止电压为纵坐标，人射光波长倒数为横坐标，作出图像如图所示。

已知a、b为已知量，光电子的电荷量为e，光速为c，则下列说法正确的是（ ）A．光电管阴极材料的逸出功为beB．普朗克常量为C．波长的光照射光电管的阴极时，产生的光电流与成正比D．波长的光照射光电管的阴极时，一定能发生光电效应第(2)题某区域静电场的电场线分布如图所示，a、b、c是电场中的三个点。

下列说法错误的是（ ）A．a、b、c三点电场强度大小关系为B．a、b、c三点电势关系为C．电子在a、b、c三点的电势能关系为D．将质子从b点由静止释放，仅在静电力作用下它将沿电场线运动第(3)题图甲是一质量分布均匀的长方体药箱，按图乙所示的方式用轻绳悬挂在墙面一光滑的钉子P上，图丙为右视图。

已知药箱长，质量，药箱上表面到钉子的距离，轻绳总长度，两端分别系在O、两点，O是ad的中点，是bc的中点，不计药箱与墙壁之间的摩擦力，g取，则轻绳上拉力大小为（ ）A．4N B．5N C．8N D．10N第(4)题某行星和地球绕太阳公转的轨道均可视为圆。

每过年，该行星会运行到日地连线的延长线上，如图所示。

该行星与地球的公转半径比为（）A．B．C．D．第(5)题碳是由宇宙射线撞击所产生的具有放射性的粒子，可衰变为氮，其各个半衰期所剩原子比例如图所示，某古木样品中碳14的比例正好是现代植物所制样品的四分之一，下列说法正确的是（ ）A．该古木的年代距今约11460年B．如果古木处于高温、高压下测量结果可能有较大误差C．碳14发生的是α衰变D．碳14和氮14中含有的中子个数相等第(6)题图是简化的某种旋转磁极式发电机原理图。

定子是仅匝数n不同的两线圈，，二者轴线在同一平面内且相互垂直，两线圈到其轴线交点O的距离相等，且均连接阻值为R的电阻，转子是中心在O点的条形磁铁，绕O点在该平面内匀速转动时，两线圈输出正弦式交变电流。