限时练4(2015)【二轮】
新高三英语二轮复习限时训练(词汇 语法填空 完形 七选五)10
一、词汇语法巩固练习A)1.The researchers who study jokes want to know __________ people from differentnations and cultures find very funny.2.Just like a voyage at sea, our life journey, __________ days are limited, is full ofdifficulties as well as opportunities and therefore needs to be cherished.3.I had just nodded off to sleep ___________ I was woken up by an almighty crashfrom their house.4.It is known that water is not an endless resource, ___________ can it be madeonce more, so we should save and protect it.ter in this chapter the case will be introduced to readers _________ consumers’support became a stream of motivation for improvement of the company.6.Mr. Zhang gave me many valuable presents, __________ that I had never seen.7.In spite __________ what has recently been done to provide more buses forpeople, a shortage of public vehicles remains a serious problem.8.__________ great the difficulty may be, we will not lose heart because we knowwe are supported by you all.9.Having a mix of male and female nurses also helps create a fun atmosphere,__________ helps patients recover faster.10.If you come across an 85-year-old woman __________ (walk) slowly with awalker in the Children's Hospital of Soochow University, don't mistake her _____a patient. Instead, she is a doctor, _______ still insists on working in the hospital. B)1.Male nurses are difficult to hire as many men reject this ______ out of thelong-existing discrimination.A. conceptB. assessmentC. identityD. personality2.An artist who was recently travelling on a ferry to the southern island discovered______ a long lost antique Greek vase.A. at randomB. by chanceC. on occasionD. in turn3.______ honesty, I know a lot of people who don’t pay bus fares.A. Concentrating onB. Speaking ofC. Leading toD. Living up to4.For many years, we have been trying to ______ to such people the fact thatlanguage is slightly different in expressions.A. wind upB. get acrossC. go all outD. look forward5.My mission is to remind you of the ______ power within your own being and toencourage you to recognize and use it.A. ultimateB. energeticC. incredibleD. dramatic6.Angela and Ajani will pick up the marriage______ after they meet online severaltimes, which is not sensible.A. acquisitionB. identificationC. certificateD. qualification7.I went to the ticket office, but the tickets had been sold out already. I could have______ myself an unnecessary trip by phoning in advance.A. preventedB. guaranteedC. enjoyedD. spared8.They stared at me, their ____ faces giving no clue as to what they would say next.A. dizzyB. funnyC. mildD. blank9.Mr. Brown thought it would be a good idea to have ______ from his workers toimprove his plan.A. summariesB. admissionsC. commentsD. connections10.Gradually I became ______ to having her follow me around the house andwatching me with those dark almond shaped eyes.A. accustomedB. tolerantC. consistentD. concerned11.Nowadays, basic health care services are ______ to almost all the Chinese people.This accounts for the fact that the average life expectancy of all the Chinese has already risen to 75.A. accessibleB. abundantC. accurateD. attractive12.Japanese media report the trend of wearing adult diapers is becoming ______popular, especially for women looking to save time.A. frequentlyB. increasinglyC. individuallyD. deliberately13.When kids are struggling with subjects like reading or math, schools may provideteaching ______, a specific program to address academic needs.A. comparisonB. accumulationC. interventionD. conservation14.Mary was greatly inspired though she made ______ improvements in her Englishwriting.A. brilliantB. modestC. substantialD. considerable15.That Peter has spent too much time on novels recently may ______ his poorgrade in the exam.A. answer forB. stand forC. account forD. apply for二、七选五Mind-wandering can help boost our moodPrior research suggests a wandering mind is an unhappy mind: We tend to be less happy when we're not focused on what we're doing. That's likely true. _____1_____ For example, as one 2013 study showed, when people found their wandering thoughts more interesting, their moods actually improved while mind-wandering. Similarly, other studies have found that thinking about people you love or thinking more about your potential future than about what happened in the past produces positive results.How you use mind-wandering may also be important. ___2___ It has been mostly unexplored in previous research, but likely has distinct effects. As one 2017 study found, people who use daydreaming for self-reflection typically have more pleasant thoughts than people who simply think about unpleasant experiences.There is even some evidence that mind-wandering may be more of an antidote (缓解方法) to depression than a cause. People who are depressed may simply replay events from their past to better understand what happened to cause their dark mood and avoid future problems. Also, when researchers studied whether a negative mood preceded or allowed a mind-wandering episode, they found poor moods led to more mind-wandering but not vice versa. _____3_____Now, findings from a 2021 study suggest that mind-wandering that is more freely moving can actually improve your mood. In this study, participants were prompted randomly via cell phone over three days to report how they were feeling and how much their thoughts were freely moving and related to what they were doing. After analyzing the data, the researchers found that when people's thoughts were of-task, they generally felt more negative—similar to what earlier findings showed. _____4_____“Our findings suggest there might be positive aspects of mind-wandering," the researchers conclude.____5____ If I simply put myself in a space that lets my mind move freely, I don’t get depressed. On the contrary, I'm happier because of it.A. In some cases, people intentionally mind-wander.B. Mind-wandering is part of our human inheritance.C. Again, I find that science supports my own experience.D. There may be a right and a wrong way to mind-wander.E. But if their thoughts were free-moving, it had the opposite effect.F. In fact, the content of wandering thoughts makes a big difference.G. It suggests that mind-wandering may be helping people feel better.三、完形填空Growing up, the relationship between my father and I is that I asked him questions and he told me the answers. In my teen years, he taught me things I’d need to know to ___1___ in the real world. When I moved out on my own, I called him at least once a week, usually when something broke in my apartment and I needed to know how to ___2___ it.But then, ___3___ I needed him less. I got married, and my husband had most of the knowledge I ___4___. For everything else, we had Google. I don’t know when it ___5___ but our conversations when I ___6___ are just six words. Me: “Hi, Dad.” Him: “Hi, sweets. Here’s Mom.” I loved my dad, of course, but I ___7___ at times if maybe he had already shared everything I ___8___ to know.Then, this past summer, my family moved to my parents’ ___9___ our house was being renovated. Dad asked me to help him rebuild a lake house with wood. Without hesitation, I agreed. After all, I could do for free rent. As we put the new wood together piece by piece, my dad knowing ___10___ what went where, I looked at him. “How do you know how to build a(n) ___11___?” “I spent a summer in college building it on the Jersey Shore.” “You did?”I thought I knew ___12___ about my dad. I knew the summer when he burned his hands raw at the horseradish (辣根酱) manufacturing plant and the diner line-cook (流水线厨师) position that ___13___ him how to make the best egg roll. But I ___14___ knew this. I realized that maybe it’s not that there’s nothing left to say ___15__ it’s just that I’ve spent my life asking him the wrong questions.1. A. survive B. exist C. last D. live2. A. work B. fix C. store D. purchase3. A. consequently B. gradually C. actually D. frequently4. A. gained B. requested C. lacked D. grasped5. A. appeared B. happened C. changed D. challenged6. A. visited B. chatted C. called D. asked7. A. wondered B. considered C. ordered D. wandered8. A. desired B. seemed C. suspected D. needed9. A. though B. while C. unless D. if10. A. nearly B. exactly C. originally D. merely11. A. apartment B. garden C. cabin D. house12. A. nothing B. something C. everything D. anything13. A. constructed B. suggested C. caught D. taught14. A. ever B. never C. hardly D. almost15. A. but B. and C. or D. so四、语法填空A)As a general rule, all forms of activity lead to boredom when they are performed _____1_____ a routine basis. As a matter of fact, we can see this principle at work in people of all _____2_____ (age). For example, on Christmas morning, children are excited about playing with their new toys. But their interest soon _____3_____ (wear) off and by January those same toys can be found put away in the basement. The world is full of halffilled stamp albums and _____4_____ (finish) models, each _____5_____ (stand) as a monument to someone's passing interest. When parents bring home a pet, their child gladly bathes it and brushes its fur. Within a short time, _____6_____, the burden of caring for the animal is handed over to the parents. Adolescents enter high school with great _____7_____ (excite) but are soon looking forward to graduation. The same is true of the young adults going to college. And then, how many adults, who now complain about the long drives to work, eagerly drove for hours at _____8_____ time when they first obtained their driver's licence? Before people retire, they usually plan to do a lot of great things, _____9_____ they never had time to do while working. But soon after retirement, the golfing, the fishing, the reading and all of the other pastimes become as _____10_____ (bore) as the jobs they left. And, like the child in January, they go searching for new toys.B)White Cane Safety Day is an observance celebrated on October 14 of each year since 1964. It is a day of the White Cane, a tool that allows the visually impaired (障碍) people to travel independently and get ___1___ (identify) easily.The White Cane ___2___ (introduce) by an American man called George A. Bonham. One day, he watched a man who was blind ___3___ (attempt) to cross a street. The man’s cane was black and motorists couldn’t see it, so Bonham proposed painting the cane white with a red stripe to make it more ___4___ (notice). The ideaquickly ___5___ (catch) on around the U.S., making the White Cane an important tool for blind people to move ___6___(safe).Today, there are about 17,000,000 people with visual impairment in China, over 8,000,000 of ___7___ are blind. It is important that people raise awareness of their ___8___ (exist) and help improve their living conditions.Modern White Canes are becoming more and more lightweight and high-tech, making it ___9___ (easy) for them to travel independently. But it usually takes more effort for them to receive education and pursue careers. Therefore, it is important that the whole society help create ____10____ barrier-free environment for them.一、词汇语法巩固练习A) 1. what 2. whose 3. when 4. nor 5. where6. ones7. of8. However9. which 10. walking; for; whoB) CBBBC CDDCA ABCBC二、FAGEC三、21-25 ABBCB 26-30 CADBB 31-35 CCDBA四、A) 1. on 2. ages 3. wears 4. unfinished 5. standing6. however7. excitement8. a9. which 10. boringB) 1. identified 2. was introduced 3. attempting 4. noticeable 5. caught6. safely7. whom8. existence9. easier 10. a本文是说明文。
高考复习(地理)专项练习：选择题限时练【含答案及解析】(四)
选择题限时练(四)(限时:40分钟)太阳辐照度是指太阳辐射经过大气层的吸收、散射、反射等作用后到达固体地球表面单位面积、单位时间内的辐射能量,是影响太阳能光伏电站输出功率的最直接、最显著的因素。
某研究小组测量制得广西桂林某时段(北京时间)不同天气状况下太阳辐照度变化曲线图。
据此完成1~3题。
1.该时段最接近()A.元宵节B.妇女节C.端午节D.国庆节2.曲线④代表的天气状况最有可能是()A.晴天B.阴转晴C.阴天D.多云3.为了保证电力系统的稳定供电,太阳能光伏电站可以配合建设的电站是()A.火电站B.水电站C.潮汐电站D.风力电站(2021·山东烟台二模)“空屋”是指长时间无人居住和打理的闲置房屋。
过去,日本的空屋大多出现在农村地区。
后来,即便在东京等大城市,空屋也越来越多。
2013年日本境内“空屋”达820万所,占全国房产总数的13.5%,有研究机构称,2033年日本空置房屋比例将升至20%。
为此,日本政府制定了“空屋银行”政策,以低价甚至免费形式鼓励人们入住乡镇空置房屋。
据此完成4~5题。
4.过去,日本的“空屋”大多出现在农村地区的主要原因是()A.本国人口迁往国外B.人口死亡率升高C.房屋简陋寿命较短D.城镇化的发展5.导致东京等大城市的“空屋”越来越多的主要原因有()①社会养老机构发达②受逆城市化影响③大城市房价高④老龄化严重,老龄人口死亡率高A.①②B.①③C.①④D.②④等时间交通图集时间与空间两个维度为一体,一般指从中心地出发,在单位时间内能够到达的空间范围。
读我国某城市市内交通1小时交通圈示意图,完成6~7题。
6.据图判断,该城市所在区域的环境特征最可能是()A.地势崎岖B.河流穿城而过C.东南部为山地D.气候干旱7.图示地区出现两块“时间飞地”,其布局最可信的是()A.地铁站B.高教园区C.中央商务区D.生态保护区(2021·山东济宁二模)某科研小组,对内蒙古乌兰布和沙漠中一绿洲防护林[(40°N,106°E)附近]进行小气候研究。
新高三英语二轮复习限时训练(词汇 语法填空 完形 七选五)05
一. 词汇语法巩固练习1.We offered to give Sharon a ride home, but she ______, saying that she felt likewalking.A. understoodB. acceptedC. compromisedD. declined2.Nowadays the ______ for travelling is shifted from shopping to food and scenery.A. priorityB. potentialC. proportionD. pension3.His vivid descriptions of country life quickly became popular, which establishedhis ______ as one of America’s greatest writers.A. trustB. contactC. reputationD. theory4.People believe writing poems provides a ______ through which they can expresstheir feelings.A. shelterB. sourceC. channelD. background5.Try to understand what’s actually happening instead of acting on the ______you’ve made.A. assignmentB. associationC. acquisitionD. assumption6.We’d better ______ some sports because sports can give us a perfect build andprotect us from getting illness easily.A. take upB. make upC. pick upD. build up7.It is important to pay your electricity bill on time, as late payments may affectyour ______.A. conditionB. incomeC. creditD. status8.This actor often has the first two tricks planned before performing, and then goesfor ______.A. whicheverB. wheneverC. whereverD. whatever9.You’d better write down the phone number of that restaurant for future ______.A. purposeB. referenceC. progressD. memory10.There will still be lots of challenges if we are to ______ garbage in a short time.A. clarifyB. justifyC. satisfyD. classify11.New technologies have made ____________ possible to turn out new productsfaster and at a lower cost.12.The research group produced two reports based on the survey, but ____________contained any useful suggestions.13.Most colleges now offer first-year students a course specially ____________(design) to help them succeed academically and personally.14.The dancer’s incredible performance had the audience on its feet ____________(clap) for 10 minutes at the end of the show. show provides women a stage ____________ they show their natural talent,rather than their looks.16.The number of smokers, ____________ is reported, has dropped by 17 percent injust one year.17.We hadn’t met for 20 years, but I recognized her ____________ (direct) I sawher.18.The meaning of the word “nice” changed a few times ____________ it finallycame to include the sense “pleasant.”19.You may have heard the old saying, “The more, the merrier. It’s usually true, butnot for travel. When it comes to travel, I say, “The more, the ____________ (messy).” I’m not alone in my ____________ (prefer) for solo(独自的) travel.According to the Daily Mail, there has been ____________ 143% increase in “solo travel” internet searches over the past three years, ____________ makes it one of the fastest growing parts of the travel industry. To me, it’s ____________ (obvious) more convenient to plan and just pack my bag and go straight to my dream place.20.More than 500 people ____________ (fly) in space since Yuri Gagarin paved theway in 1961. 20 people have travelled to the moon, 12 of ____________ have walked on the moon. So far, space stations ____________ (build), and astronauts have learned to live and work in space for many months ____________ even years.二. 七选五Many people think that positive thinking is mostly about keeping one’s head in the sand and ignoring daily problems, trying to look optimistic. In reality it has more to do with the way an individual talks to himself. Self-talk is a constant stream of thoughts of a person, who is often unaware and uncertain of some events, phenomena, people, or even the person himself.____1____Meanwhile, positive thinking can help to stop negative self-talks and start to form a positive view on an issue. People who regularly practise positive thinking tend to solve problems more effectively. They areless exposed to stress caused by external factors. They tend to believe in themselves and in what they do.____2____People who think positively demonstrate increased life spans, lower rates of depression and anxiety, better physical and psychological health, reduced risks of death from heart problems. Positive thinking also contributes to one’s ability to deal with problems and hardships.____3____For example, researchers have found that in the case of a crisis accompanied by strong emotions, such as a natural disaster, positive thinking can provide a sort of buffer against depression and anxiety. Resilient people who think positively tend to treat every problem as a challenge, a chance for improvement of any kind, or as an opportunity for personal growth. Pessimists, on the contrary, tend to perceive problems as a source of additional stress.____4____ In conclusion, positive thinking is a powerful and effective tool for dealing with hard times and improving the quality of one’s life. It doesn’t have anything to do with ignorant optimism when an individual refuses to notice a problem.____5____ Thinking in a positive, self-encouraging way brings about many benefits to one’s physical and mental health.A. It doesn’t cause any severe emotional discomfort, either.B. Negative self-talk damages self-confidence and decreases self-respect.C. It helps one to remain clear-headed and confident in difficult situations.D. Positive thinking has several beneficial effects on the body and the mind.E. As thinking changes, an individual’s behaviour and habits change as well.F. They often offer a real alternative to the common and regular way of thinking.G. They often feel discouraged long before trying to solve the problem, even if small.三. 完形填空Normal people can hardly imagine what kind of pain orphans feel while growing up – being abandoned, disliked, and laughed at. For all these reasons, many of them build a ____1____ room in their hearts. In this room they can behave as they ____2____. Will Hunting, the main character in the US film Good Will Hunting is the perfect example.The story is simple. Will Hunting is a(n) ____3____ who works as a cleaner at the Massachusetts Institute of Technology in the US. Lambeau, a math professor, discovers that Hunting has a special ____4____ for math and wants him to be asuccess. However, Will gets into a fight and is ____5____ after he attacks a police officer. But Lambeau doesn’t ____6____. He sends Hunting to see a wise therapist, Dr Sean Maguire, to see if he can help the ____7____ young man. After a period of stony (冷漠的) silence, Will ____8____ to the therapist and is finally cured.But Will’s treatment takes a long time. In my opinion, the key to its success is ____9____ in Maguire’s words, “It is not your fault.” He ____10____ the words while staring at Will, making it clear to him that he no longer has any place to hide. They are words that all orphans should hear.Orphans have ____11____ because they feel that no one loves them, and in order to avoid harm, they ____12____ people’s kindness. I feel sorry for Will, as his background has led him into ____13____ and self-abasement (自卑). I am also sympathetic toward Maguire, who has a kind heart.It is ____14____ to love our own kids, but much harder to love those of other people. I suggest that we pay more attention to orphans, not out of ____15____, but out of love.1. A. persuasive B. offensive C. defensive D. aggressive2. A. dislike B. please C. protect D. cure3. A. student B. orphan C. expert D. defender4. A. interest B. appetite C. desire D. talent5. A. arrested B. bullied C. cared D. diagnosed6. A. give in B. give off C. give up D. give out7. A. gifted B. frustrated C. exhausted D. troubled8. A. opens up B. closes down C. breaks down D. picks up9. A. conveyed B. contained C. lied D. included10. A. repeats B. ignores C. avoids D. refuses11. A. confidence B. disadvantages C. obstacles D. barriers12. A. need B. refuse C. lack D. expect13. A. restriction B. resistance C. rejection D. rebellion14. A. normal B. necessary C. urgent D. difficult15. A. policy B. sympathy C. curiosity D. empathy四. 语篇填空While driving alone through the countryside, Linda saw an old woman by theside of the road, reaching out her hand. It ____1____ (get) dark and raining. “I can’t leave her out in this weather,” Linda said to herself, so she stopped the car.“Shall I offer you ____2____ lift?” Linda asked. The old woman nodded and climbed into the car. After a while Linda asked, “Have you waited for long?” The old woman shook her head. ____3____ (strange) enough, the old woman didn’t say a single word all the way. Her only ____4____ (respond) was always a nod of the head or something else like that.Then Linda saw the lady’s hands, ____5____ were very large and covered with thick hair. She realized ____6____ the lady was a man! After ____7____ (stop) the car, Linda said, “Can’t see that mirror. Would you mind cleaning it ____8____ me?” The lady nodded and opened the door. As soon as the “lady” was out of the car, Linda drove off quickly.When Linda arrived home, she found that the old lady ____9____ (leave) a handbag on the backseat. She opened it and let out a deep breath. Inside it ____10____ two sharp knives.一. 词汇语法巩固练习1-5 DACCD 6-10 ACDBD11-18 it; neither; designed; clapping; where; as; directly; before19 messier; preference; a; which; obviously20 have flown; whom; have been built; or二. 七选五BDCGA三. 完形填空CBBDA CDABA BBDAB四. 语篇填空1-5was getting; a; Strangely; response; which6-10that; stopping; for; had left; were。
限时训练4答案
限时训练4参考答案（2014-12-23）
31.（11分）
答案:(1)高压（1分）低压(1分)
(2)西北(偏北) (1分)②(1分)②地等压线密集,水平气压梯度力较大(2分)
(3)低温晴朗(1分)冷锋过境后,④地受高压脊控制。
(2分)
(4)受冷锋活动影响,将经历一次大风、降雨(雪)、降温等天气。
(2分)
32.（14分）
（1）A（1分）海陆热力性质差异（1分） D （1分）
（2）冬季风（西北风）（1分）亚洲高压（蒙古、西伯利亚高压）（1分）（3）西南季风（1分）东南信风（1分）
夏季由于阳光直射点北移，气压带和风带北移，南半球的东南季风越过赤道，受地转偏向力的影响偏转为西南季风。
（2分）
（4）C（2分）
（5）阿留申低压（1分）中纬西风气流（1分）温和多雨（1分）。
【名师一号】2014-2015学年高中数学 第一章 三角函数双基限时练4(含解析)新人教A版必修4
双基限时练(四)1．利用正弦线比较sin1，sin1.2，sin1.5的大小关系，有( ) A ．sin1>sin1.2>sin1.5 B ．sin1>sin1.5>sin1.2 C ．sin1.5>sin1.2>sin 1 D ．sin1.2>sin 1>sin 1.5 解析π4<1<1.2<1.5<π2，画图易知． 答案 C2．若α为第二象限角，则下列各式恒小于零的是( ) A ．sin α＋cos α B ．tan α＋sin α C ．cos α－tan αD ．sin α－tan α解析 由α为第二象限角知，sin α>0，tan α<0，由三角函数线知|tan α|>sin α. ∴－tan α>sin α，即sin α＋tan α<0. 答案 B3．角α(0<α<2π)的正、余弦线的长度相等，且正、余弦符号相异，那么α的值为( ) A.π4 B.3π4 C.7π4D.3π4或7π4 答案 D4．依据三角函数线，作出如下判断：①sin π6＝sin 7π6；②cos ⎝ ⎛⎭⎪⎫－π4＝cos π4；③tan π8>tan 3π5；④sin 3π5>sin 4π5.其中正确的有( ) A ．1个 B ．2个 C ．3个 D ．4个答案 C5．已知角α的余弦线是长度为单位长度的有向线段，那么角α的终边在( ) A ．x 轴的非负半轴上 B ．x 轴的非正半轴上 C ．x 轴上D ．y 轴上 解析 由角α的余弦线是长度为单位长度的有向线段，得cos α＝±1，故角α的终边在x 轴上．答案 C6．已知sin α>sin β，那么下列命题正确的是( ) A ．若α，β是第一象限的角，则cos α>cos β B ．若α，β是第二象限的角，则tan α>tan β C ．若α，β是第三象限的角，则cos α>cos β D ．若α，β是第四象限的角，则tan α>tan β解析 方法一：(特殊值法)取α＝60°，β＝30°，满足sin α>sin β，此时cos α<cos β，所以A 不正确；取α＝60°，β＝150°，满足sin α>sin β，这时tan α<tan β，所以B 不正确；取α＝210°，β＝240°，满足sin α>sin β，这时cos α<cos β，所以C 不正确．方法二：如图，P 1，P 2为单位圆上的两点，设P 1(x 1，y 1)，P 2(x 2，y 2)，且y 1>y 2.若α，β是第一象限角，又sin α>sin β，则sin α＝y 1，sin β＝y 2，cos α＝x 1，cos β＝x 2.∵y 1>y 2，∴α>β.∴cos α<cos β.∴A 不正确．若α，β是第二象限角，由图知P ′1(x ′1，y ′1)，P ′2(x ′2，y ′2)，其中sin α＝y ′1，sin β＝y ′2，则tan α－tan β＝y ′1x ′1－y ′2x ′2＝x ′2y ′1－x ′1y ′2x ′1x ′2. 而y ′1>y ′2>0，x ′2<x ′1<0， ∴－x ′2>－x ′1>0，∴x ′1x ′2>0，x ′2y ′1－x ′1y ′2<0， 即tan α<tan β.∴B 不正确．同理，C 不正确．故选D.答案 D7．若角α的正弦线的长度为34，且方向与y 轴的正方向相反，则sin α的值为________．答案 －348．比较大小：sin1155°________sin(－1654°)(填“<”或“>”)． 答案 >9．已知α∈(0,4π)，且sin α＝12，则α的值为________．解析 作出满足sin α＝12的角的终边，如图：直线y ＝12交单位圆于A ，B 两点，连接OA ，OB ，则终边在OA ，OB 上的角的集合为⎩⎨⎧⎭⎬⎫α|α＝π6＋2k π或α＝5π6＋2k π，k ∈Z .又α∈(0,4π)，所以α＝π6或5π6或13π6或17π6答案π6或5π6或13π6或17π610．在(0,2π)内，使sin α>cos α成立的α的取值范围为________． 答案 ⎝⎛⎭⎪⎫π4，54π11．试作出角α＝7π6的正弦线、余弦线、正切线．解 如图：α＝7π6的余弦线、正弦线、正切线分别为OM ，MP ，AT .12．利用三角函数线比较下列各组数的大小． (1)sin 2π3与sin 4π5；(2)tan 2π3与tan 4π5.解如图所示，角2π3的终边与单位圆的交点为P ，其反向延长线与单位圆的过点A 的切线的交点为T ，作PM ⊥x 轴，垂足为M ，sin 2π3＝MP ，tan 2π3＝AT ；角4π5的终边与单位圆的交点为P ′，其反向延长线与单位圆的过点A 的切线交点为T ′，作P ′M ′⊥x 轴，垂足为M ′，则sin 4π5＝M ′P ′，tan 4π5＝AT ′，由图可见，MP >M ′P ′，AT <AT ′，所以(1)sin 2π3>sin 4π5.(2)tan 2π3<tan 4π5.13．利用三角函数线，求满足下列条件的角α的集合： (1)tan α＝－1；(2)sin α＜－12.解 (1)如图①所示，过点(1，－1)和原点作直线交单位圆于点P 和P ′，则OP 和OP ′就是角α的终边，∴∠xOP ＝3π4＝π－π4，∠xOP ′＝－π4，∴满足条件的所有角α的集合是{α|α＝－π4＋k π，k ∈Z }．①②(2)如图②所示，过点⎝ ⎛⎭⎪⎫0，－12作x 轴的平行线，交单位圆于点P 和P ′，则sin ∠xOP ＝sin ∠xOP ′＝－12，∴∠xOP ＝11π6，∠xOP ′＝7π6，∴满足条件的所有角α的集合是{α|7π6＋2k π＜α＜11π6＋2k π，k ∈Z }．。
高考英语二轮总复习课后习题 题组限时满分练 满分练1 阅读理解+七选五
满分练(一) 阅读理解+七选五(限时:40分钟)Ⅰ.阅读理解A(福建厦门二模)ACenturyInCirculationTHIS YEAR’S ANNUAL CLASSICS COLLECTION is particularly special given it is the magazine’s 100th anniversary year.Peeling back the covers of the thousands of editions,published in numerous countries,and dating back to the first issue in February 1922,is always a task we enjoy doing.This collection offers a wide range of different subjects.Each one we hope will inform,delight,amuse and perhaps even confound(使惊讶) our readers:from stepping inside the French artistPierre-Auguste Renoir’s inner circle of friends(‘Renoir’s Invitation To A Party’,page 90),to finding peace from depression in a solitary walk on the beach(‘The Day At The Beach’,page 110)and meeting a cat who held a family together as they began to fall apart(‘A Pretty Good Teacher,For A Cat’,page 22).My favourite article,‘Exploits Of Charles’(page 104),is written by a mother about the increasingly odd behaviour of a little boy in her young son’s kindergarten class.What a handful thi s young Charles proves to be.Hispoormother!,she thinks to herself.I’m certain you’ll enjoy this amusing and relatable account of a small boy adjusting to his new classmates and teacher.With an endless supply of wonderful stories,surprising insights and ex periences to share,Reader’sDigest remains a place to find fresh perspectives—and a great read.Happy reading!LOUISE WATERSONEditor-in-Chief1.Where can we read about a cat?A.On page 90.B.On page 110.C.On page 22.D.On page 104.2.Which article attracts Louise most?A.Renoir’sInvitationToAPartyB.TheDayAtTheBeachC.APrettyGoodTeacher,ForACatD.ExploitsOfCharles3.What is this text?A.Readers’ review.B.Editor’s note.C.Authors’ reflection.D.Publisher’s acknowledgement.B(安徽池州一模)Miss Baugh taught seventh-grade social studies.She was the kind of teacher that perhaps everyone has had at least once:scary.In class,she always taught us to take school seriously.She had been teaching for a long time and I was as afraid of her as anyone,including the boys who were typically naughty in the back row.But I also had a life outside of school and had just discovered cheap objects for pranks.One such prop(道具) had two parts:an ink bottle painted to look as though it had overturned,and a piece of shiny black metal shaped like a pool.Of all the people I could have tricked,uneiss Baugh.At the beginning of the class,I opened her book and placed the props on one of the pages.Then I waited for the fun.When Miss Baugh saw the bottle and the spilled ink,she let out a little cry and looked for something to wipe up the ink with.The trick had succeeded beyond my expectations.But then I suddenly knew I had no control over what would happen neiss Baugh tried to remove the ink with a paper towel,she discovered it was just a piece of black metal.She picked it up,her eyes sweeping the classroom with a deadly gaze.Then came the question:“Who did this?”After some hesitation,I raised my hand.Miss Baugh fie,and my classmates.And then,most unexpectedly,she laughed.“Well,it certa inly fooled me!” she said.She returned the props to me,andfor a few seconds a sweet little aged lady appeared right where Miss Baugh stood.We got back to having a class.But something had changed for me.I began to realize that,if someone like Miss Baugh had a warm heart beneath that crusty surface,then other crusty people would probably do,too.That may have been the most valuable lesson I learned.4.Which words best describe Miss Baugh according to paragraph 1?A.Serious and experienced.B.Easy-going and selfless.C.Naughty and demanding.D.Scary and narrow-minded.5.What does the underlined word “pranks” probably mean in paragraph 2?A.Bets.B.Experiments.C.Tricks.D.Strategies.6.What can we learn from paragraph 4?A.Miss Baugh’s stare wasn’t as terrifyi ng as before.B.The author was given away and finally raised his hand.C.Miss Baugh burst into laughter and gave the props back.D.A little aged lady entered the classroom to give a lecture.7.What valuable lesson did the author learn?A.Crusty people can be easily changed.B.Crusty people may be friendly to others.C.Crusty people are difficult to get along with.D.Crusty people are sensitive to others’ feelings.C(广东茂名二模)Do you often compare yourself to other people?Comparisons can help to make decisions and motivate you but they can also pull you into a comparison trap.Whether it’s the number of goals you’ve scored at football or how many books you’ve read,it’s easy to compare yourself to someone else.Scientists say it’s a natural behaviour that helps humans learn from each other,live happily together and achieve more.Although comparing can be good for you,it’s not always helpful and you can find yourself stuck in a comparison trap.Thisis when you always measure yourself against others and base your feelings on how well they seem to be doing.Becky Goddard-Hill is a child therapist (someone who helps children understand their feelings) and author of CreateYourOwnConfidence.She says that comparisons can make us feel good and bad about ourselves.“Comparing up” means seeing someone doing better than you and using that to inspire yourself to aim higher and try harder.However,Goddard-Hill says,“Sometimes it can make you feel rubbish about yourself and knock your confidence.”“Comparing down” is when you see so meone who seems like they’re not doing as well as you.This might make you feel you’re doing well,says Goddard-Hill,but it can also stop you wanting to improve.If your feelings depend on what other people aredoing,“Surround yourself with cheerleaders,” su ggests Goddard-Hill.Notice how people make you feel and spend time with friends who celebrate your strengths rather than compare themselves to you.If you follow social media accounts that make you feel youare failing in any way,unfollow them.“Find ones th at make you laugh or show you lovely places instead,” she says.Finally,focus on your own achievements and how you can improve.“The best person you can compete with is yourself,” says Goddard-Hill.8.How does a comparison trap affect us?A.It makes us focus on our own behaviour.B.It stops us from learning from each other.C.It prevents us from living happily together.D.It bases our feelings on others’ achievements.9.What’s true about “Comparing up” and “Comparing down”?A.Both of them usually enhance our confidence.B.Both of them have advantages and disadvantages.C.The former is positive while the latter is negative.D.The former makes us feel good while the latter makes us feel bad.10.What does Goddard-Hill suggest?A.Aiming to be our best.B.Trying to be the best.C.Trying to be a cheerleader.D.Valuing someone else’s achievements.11.In which section of the magazine can you find the passage?A.Achievement.B.Entertainment.C.Health.D.Politics.D(安徽安庆二模)Homemade biodiesel (生物柴油) helps you speed past the gas station towards fuel independence.Our expert outlines processing used cooking oil in a small DIY plant.If you’re guiding your household towards a moreself-sufficient lifestyle,maybe you’d like to add do-it-yourself fuel to your list of goals.Biodiesel can be created from waste vegetable oil or animal fats,which you can collect free from restaurants,or you can grow soybeans (大豆) to press your own oil.Process the oil with a couple of chemicals to produce homemade fuel that can run any device—including pickups,cars,and home heating systems.First,find a reliable source of raw material.Try sourcing used cooking oil from restaurants,functional food companies.If you’re planning to sell your biodiesel,begin by analyzing the available raw material supply,and make plans to size your operation accordingly.Next,build your plant,sized to your raw material supply.A small family operation can fit in the corner of a garage,within the footprint of a single parking space.Allow enough space for a water heater,a tank for storing your incoming feedstock,and a tank for washing your fuel.For starters aim to line up enough feedstock to meet your family’s fuel requirements.If you’re collecting used cooking oil fromrestaurants,eaterial you gather will be water and bits of fried food.Water is not your friend when making biodiesel,so you’ll need to remove it by heating the oil and allowing the contaminants (污染物) to settle to the bottom before you pour the oil of the top.You’ll have to make a plan for getting rid of the oily wastewater.Home biodiesel production is not without risks.Making your own fuel will require great attention to detail and safety.Now you know the basics of how to make biodiesel,but you’ll need to research carefully before you begin production.12.Where can you get the materials of biodiesel?A.Oil plants.B.Varied restaurants.C.Abandoned garages.D.Local companies.13.What is the author’s attitude to the use of biodiesel?A.Tolerant.B.Positive.C.Unwilling.D.Opposed.14.What can we infer about biodiesel production from the last two paragraphs?A.It needs enough water.B.It goes without any risks.C.It requires little attention.D.It needs to be improved.15.What is the tee research on biodiesel.B.An eportance of biodiesel.D.One way to make biodiesel.Ⅱ.七选五(安徽淮南二模)Raising children is limitlessly rewarding but no doubt challenging.Here are some tips for raising a happy,healthy and responsible child.1 Studies find that kids who have televisions in their bedrooms are more likely to be overw eight.When a TV is in a child’s bedroom,you have no control over what he’s watching,and you don’t have any opportunities for family bonding time—when everyone lies onto the sofa to watch a favorite show.Get them used to doing chores from an early age.We all know a parent who still makes her high school daughter’s lunch every day.2 By the time your two-year-old begins talking,he’s old enough to start helping around the house.3 If you really want to teach your teen about money,then stop handing over t he credit card and the “allowance”.Instead,put your kid on a budget,open a checking account for him or her,and letyour teen really learn how to manage money.Tell your kid that all clothing,movies,entertainment,fast food,and cell phone bills will come out of his or her checking account which you fund. 4 Just make sure you also set up a savings account for your teen and insist that at least one third of any savings or money from you be put away.Imagine the future with your children. 5 By age ten,kids are old enough to start looking ahead and figure out the value of an education.Studies find that teens who can imagine themselves with a future are less likely to do those things that destroy a future.A.Get the TV out of the bedroom.B.Don’t find yourself i n this situation!C.Teach them how checking accounts work.D.Start an activity that you can do with your teen.E.If your son or daughter has a job,then cut back the amount.F.You reduce the risk that your child will engage in such behavior.G.It’s never to o early to begin talking to your child about his or her future.答案：满分练(一) 阅读理解+七选五Ⅰ.A[语篇解读]本文是一篇应用文。
【统编版】语文九年级上册周末限时练(四)习题课件
⑥如果说小说主要作用于人的思维方式，诗词 则直接作用于人的情感模式。比如小儿皆可诵的 《春晓》：“春眠不觉晓，处处闻啼鸟。夜来风 雨声，花落知多少。”春光美好，生命美好，不 能因贪睡而错过，对春光的珍爱与对生命的珍惜 已拆解不开，春光与生命，时代与生活是如此让 人爱恋，以致使人们不愿放弃片刻的光阴；诗中 即使含有一丝丝的伤感，也立刻在这种青春的情 绪中蒸腾为对生活与生命的深情感受。爱读这些 诗的孩子，一定是热爱生活的。
④这时候，基础阅读或者叫经典阅读的重要性 就显现出来了。经典是什么？经典就是永不过时 的东西，它是人类按照自己的根本利益共同选择 下来的文明成果，是建立正确的价值观和人生观 的文化基础。
⑤经典阅读，会在潜移默化中让人习得珍贵的 思维方式和价值观念，尤其是在童年、少年和青 年时期。比如读四大名著，孩子第一会为故事所 吸引，而这些故事本身，都深深镌刻着中国人在 漫长历史过程中总结出来的思维模式和价值观念 。故事的演进，会帮助孩子们辨别正邪、建立是 非观念，也使他们从中感受到扶危济困、除暴安 良的快乐和坚忍不拔的精神，追求正义的热情等 ，而这些，都是生活的精神原动力。
【解析】成分残缺，在句末加“功能”。
5. 阅读下面的材料，按要求作答。(4分) 为充分展现改革开放以来文化艺术领域的发展
成果，以书画艺术的情势传承中华民族优秀传统文 化，坚定文化自信，遵循历史脉搏，浓缩时代精神 ，以艺术作品的情势歌颂改革开放为人民生活带来 的美好变化。中国国际集邮网、中国大众文化学会 书画艺术专业委员会于202X年7月在北京长安街的 国家民族文化宫展览馆举行第十二届“中国当代书 画艺术领军人物邮品首发式暨书画作品展”。
□露 □从 □今 □夜 □白 ,□月 □是 □故 □乡 □明 。 □有 □弟 □皆 □分 □散 ,□无 □家 □问 □死 □生 。
新高三英语二轮复习限时训练(词汇 语法填空 完形 七选五)07
一、词汇语法巩固练习1.I'll let you borrow my car __________ one condition that you lend me your bicyclein return.2.You can be paid __________ cash weekly or __________ cheque monthly; thoseare the two alternatives.3.In 2004, he started Dodgeball, another check-in service, which Google bought__________ a few million dollars and later shut down.4.Afterwards, he built dozens of single wooden rooms for the travellers to rent__________ the price of $3 per night by the roadside.5.When Sunday came, and it was time for the girl to start on her way, she becamefrightened, although she __________ (she) did not know exactly why.6.I knew that this wasn't the first time I __________ (let) such an opportunity passme by, and that made everything even more difficult.7.__________ a lot of hard work and a touch of luck play a part, perseverance is thekey to success.8.Both men had hardly had time to realize what was happening __________ theywere thrown violently into the sea.9.My grandpa, __________ is often the case with old people, is fond of __________(talk) about the good old days.10.My parents are the most important for me, without __________ support, I wouldn’thave reached that far.11.He is going to spend the Spring Festival in Nanjing, __________ live hisgrandparents and some relatives.12.Li Ziqi, the Chinese internet celebrity, is famous for her videos __________ sheperforms the work of a farmer with the grace of a fairy.13.By 16:30, __________ was almost closing time, nearly all the paintings had beensold.14.The most exciting moment during the Spring Festival is __________ the familyenjoy the big dinner together.15.The impact and ultimate result depend on __________ you do with the difficultiesthat you have.16.__________ bothers me is that I can’t keep my mind on the task, but on personalgains or losses.17.The father and his son got lost in the mountain and they had to eat __________food they could find there.18.Young women seem to perform worse than men on high-level math tests. That is__________ has confused the educators for ages.19.After being designated as the first special economic zone in China, __________was once a fishing village has rapidly become an emerging modern city.20.A warm thought suddenly came to me __________ I might use the pocket moneyto buy some flowers for my mother’s birthday.21.The Chinese Ministry of Agriculture finds that between 2005 — __________ thegovernment started a soil-testing program __________ gives specific fertilizer recommendations to farmers — __________ 2011, fertilizer use dropped by 7.7 million tons.22.As more and more people own private cars, parking has become __________ bigheadache for many car owners, especially for those __________ live in downtown areas without enough __________ (park) spaces.23.When he saw the mists __________ (rise) from the river and the soft clouds__________ (surround) the mountain tops, he __________ (reduce) to tears.24.While visiting Hangzhou’s West Lake and its __________ (surround) beautifulhills, you’ll understand __________ it’s been a great source of __________ (inspire) for artists, poets and __________ (philosophy) throughout Chinese history.25.When I took the money from her grandparents, I looked back at the girl,__________ was giving me the most __________ (optimism) smile I had ever seen.All __________a sudden, her handicap was __________ (go) and all I saw was this beautiful girl, whose smile just melted me and almost instantly gave me a completely new sense of __________ life is all about.二、七选五Including children in the farming lifestyle has many benefits. Sure, it is nice to have the additional help with chores (家庭杂物), but it also fosters so much growth, sending our kids down a good path towards who they will someday become. It is possible that our children will grow up to lead lives that do not include farming. ______1______Through caring for farm animals, kids learn that in life others often come before self. ______2______ It doesn’t matter if we don’t feel like it or if we are sick and tired. What matters is that we take care of the animals that take care of us and do so in a timely manner.______3______ If the work on a farm does not get done, the operation fails. It takes discipline and commitment to get down to business every day, and seeing this in action will give kids a good work attitude. They will know and understand that nothing good comes easy and that they have to work to survive. ______4______ Functioning as part of a productive team will surely be playing a crucial role sooner or later in all walks of life.Additionally, farming teaches patience. ______5______ Cattle will be difficult to control. Horses will run away when you try to catch them. Goats will kick over that bucket of hard-earned milk. A rooster will decide you got too close to his hens and give you a run for your money. In spite of all that, kids will learn to be patient and take things easy.There may not be any instant reward, but in the long term kids will see the benefit of all their efforts during those hard days.A. At the same time, they learn to work with others.B. Farm life also teaches kids the value of hard work.C. Children learn to be grateful for animals for eating purpose.D. Teamwork is no longer an important skill to develop and use.E. There are going to be a lot of days when things do not go your way.F. However, what they learn on a farm can also be instrumental in their future lives.G. Animals need to be fed, watered, and cared for before we get to sit down and relax.三、完形填空When I was a child, I always wanted to be a superhero. I wanted to ____1____ the world and then make everyone happy. But I knew that I’d need superpower to make my dreams come true. When I grew up and realized that science fiction was not a good source for ____2____, I decided to go on a journey of ____3____ science, to find a more useful truth.I started my journey in California with a UCBerkeley 30-year study that examined the photos of students in some old yearbooks and tried to ____4____ their success and wellbeing throughout their life. I ____5____ a celebrity’s picture. When I first saw his picture, I thought that these superpowers came from his super collar. But now I know it was all in his ____6____.Smiling stimulates our brain reward mechanism in a way that even chocolate—a well-regarded pleasure inducer—cannot ____7____. British researchers found that one smile can produce the same ____8____ of brain stimulation as up to 2,000 bars of chocolate. The same study found that smiling is as stimulating as ____9____ up to 16,000 pounds in cash. That’s like 25 thousand dollars a smile. It’s not bad.And, unlike lots of chocolate, lots of smiling can actually make you____10____.Smiling can help reduce the level of stress-enhancing hormones, increase the level of ____11____ hormones and reduce overall blood pressure.So whenever you want to look great and competent, reduce your ____12____ or feel as if you just had a whole stack of high-quality chocolate—without worrying about the caloric ____13____—or as if you found 25 thousand dollars in a pocket of an old jacket you hadn’t ____14____ for ages, or whenever you want to tap into a superpower that will help you and everyone ____15____ you live a longer, healthier, happier life, smile.1. A. occupy B. conquer C. save D. beautify2. A. superpower B. supernature C. superman D. superhero3. A. fake B. natural C. complicated D. real4. A. achieve B. examine C. make D. measure5. A. came across B. came out C. came over D. came up6. A. picture B. smile C. dream D. yearbook7. A. adopt B. award C. match D. stand8. A. number B. piece C. scale D. level9. A. receiving B. rewarding C. repeating D. recording10. A. happier B. healthier C. heavier D. hungrier11. A. self-enhancing B. skill-enhancingC. mood-enhancingD. strength-enhancing12. A. weight B. stress C. pleasure D. satisfaction13. A. lost B. requirement C. consumption D. cost14. A. fixed B. worn C. met D. known15. A. except B. besides C. around D. without四、语法填空Agricultural experts say crop diversity is important to feed the (1)____________ (increase) population of our planet. They say having a large variety of plants also (2) ____________ (help) to protect against possible crop diseases and future crises. But many experts say the number has decreased sharply during the past century.One of the world’s largest seed (3) ____________ (conserve) projects has predicted further losses. The Millennium Seed Bank Partnership is warning that up to one hundred thousand plant species could (4) ____________ (permanent) disappear. The rich collection of genes (5) ____________ decide their qualities would disappear with them.Many experts blame climate change and loss of habitat, normal growth area, (6) ____________ damaging plant life. They say human activities and poorly planned, overly heavy use of land also are responsible. Modern business farming is responsible for loss of farmers’ traditional crop (7) ____________ (various). The “Green Revolution” of the (8) ____________ (twenty) century changed agriculture. Some experts say the use of modern commercial farming methods saved millions of people from starvation. Farmers planted, watered, and fertilized their crops with the help of machines. They treated their fields with chemicals (9) ____________ (control) diseases and insects. Harvests grew larger and of higher quality, (10) ____________another result was that some traditional crops were lost. Damage to the environment over the past century makes people believe that crop diversity also suffered.一、1-5 on; in, by; for; at; herself6-10 had let; Although/Though/While; when; as, talking; whose11-15 where; where; which; when; what16-20 What; whatever; what; what; that21. when’ which/that, and22. a, who, parking23. rising, surrounding, was reduced24. surrounding, why, inspiration, philosophers25. who, optimistic, of, gone, what二、FGBAE三、CADDA BCDAB CBDBC四、1. increasing2. helps3. conservation4. permanently5. that/which6. for7. varieties8. twentieth9. to control10. but。
(15)区域协调发展——2023届高考地理二轮复习热点题型限时练
（15）区域协调发展——2023届高考地理二轮复习热点题型限时练时间：25分钟读下图，完成下面小题。
1.图示内容的名称是（）A.北煤南运B.西气东输C.川气东送D.西电东送2.图示输送路线依次经过的地形区是（）A.四川盆地-巫山-长江中下游平原B.巫山-四川盆地-长江中下游平原C.长江中下游平原-巫山-四川盆地D.四川盆地-长江中下游平原-巫山3.建设该输送线路的原因是（）①西部地区能源相对充足②东部地区能源相对充足③西部地区经济发展水平较高④东部地区经济发展水平较高A.①②B.②③C.③④D.①④酒泉桥湾变电站是我国“西电东送”北部通道上的特高压重点工程，同时也是全国首条大规模输送清洁电力的特高压直流工程——酒泉至湖南特高压直流输电线路工程的核心工程。
读图，完成下面小题。
4.图示输电通道输送的电力最可能是（）A.核电B.火电C.水电D.风电5.桥湾变电站建设需要克服的自然障碍是（）A.降水集中，暴雨频繁B.多大风，沙尘天气C.地壳运动活跃，地质灾害多D.气候高寒，严重缺氧6.酒泉桥湾变电站工程建设的最重要意义在于（）A.促进区域资源的永续利用B.促进资源产地的能源消费转型C.保护输入地的生态环境D.促进资源同经济发展的合理配置利比亚是北非重要的产油国，全境90%以上地区为沙漠和半沙漠，无常年性河流和湖泊。
下图示意利比亚相关地理事物分布。
据此完成下面小题。
7.推测该调水工程的调水水源是（）A.雨水B.高山冰雪融水C.地下水D.季节性积雪融水8.该调水工程调水量最大的季节是（）A.春季B.夏季C.秋季D.冬季9.该调水工程带来的影响是（）A.南部地下水位明显下降B.沿海地区降水量显著增加C.加剧沿海地区海水入侵D.加剧沿线所有地区盐碱化LED(发光二极管)由于能量利用率高，近年来广泛应用于照明光源。
该产业关键零部件与材料专利大多掌握在日、美大厂手中，产业链从上游到下游进入门槛逐渐降低。
我国台湾地区较早形成完整的产业链结构，但近几年该产业逐渐从台湾转移到福建、江西、珠三角、长三角、环渤海等地，台湾地区的LED产业链有整体转移的趋势。
【创新设计】2015高考数学(人教通用,文科)二轮专题训练：小题综合限时练3
限时练(三)(建议用时：40分钟)一、选择题1．已知i 为虚数单位，复数z 满足i z ＝1＋i ，则z ＝( )． A ．1＋i B ． 1－i C. －1＋iD ． －1－i解析 由题意z ＝1＋i i ＝(1＋i )ii 2＝1－i ，则z ＝1＋i. 答案 A2．设集合A ＝{1,2}，则满足A ∪B ＝{1,2,3}的集合B 的个数是( )． A ．1 B ．3 C ．4D ．6解析 符合题意的B 有{3}，{1,3}，{2,3}，{1,2,3}，共4个． 答案 C3．函数f (x )＝log 2(4x ＋1)的值域为( )． A ．[0，＋∞) B ．(0，＋∞) C ．[1，＋∞)D ．(1，＋∞)解析 因为4x ＋1＞1，所以f (x )＝log 2(4x ＋1)＞0. 答案 B4．已知函数f (x )为偶函数，当x ＜0时，f (x )＝sin x ＋cos x ，则f ⎝ ⎛⎭⎪⎫π4＝( )．A ．0B ． 2C ．－ 2D ．1解析 由题意f ⎝ ⎛⎭⎪⎫π4＝f ⎝ ⎛⎭⎪⎫－π4＝sin ⎝ ⎛⎭⎪⎫－π4＋cos ⎝ ⎛⎭⎪⎫－π4＝－22＋22＝0.答案 A5．圆(x ＋2)2＋y 2＝4与圆x 2＋y 2－2x －2y ＋1＝0( )． A ．内切 B ．相交 C ．外切D ．相离解析 两圆圆心分别是(－2,0)，(1,1)，圆心距为d ＝10，而两圆半径分别为2,1，显然10＞2＋1，故两圆相离． 答案 D6．已知数列{a n }满足1＋log 3a n ＝log 3a n ＋1(n ∈N ＋)，且a 2＋a 4＋a 6＝9，则log 13(a 5＋a 7＋a 9)的值是( )． A.15 B ．－15 C ．5D ．－5解析 由1＋log 3a n ＝log 3a n ＋1(n ∈N ＋)可以推出a n ＋1＝3a n ，数列{a n }是以3为公比的等比数列，故a 5＋a 7＋a 9＝27(a 2＋a 4＋a 6)＝35，故log 13(a 5＋a 7＋a 9)＝－5. 答案 D7．从装有3个红球、2个白球的袋中任取3个球，则所取的3个球中至少有1个白球的概率是( )． A.110 B ．310 C.35D ．910解析 由题意可知从5个球中任取3个球的所有情况有10种，所取的3个球至少有1个白球的情况有(10－1)种，根据古典概型公式得所求概率P ＝10－110＝910. 答案 D8．某企业2014年2月份生产A ，B ，C 三种产品共6 000件，根据分层抽样的结果，该企业统计员制作了如下的统计表格：产品分类 A B C 产品数量 2 600 样本容量260由于不小心，表格中B ，C 产品的有关数据已被污染看不清楚，统计员记得B 产品的样本容量比C 产品的样本容量多20，根据以上信息，可得C 产品数量是( )． A ．160B ．180C ．1 600D ．1 800解析 记B ，C 两种产品的样本容量分别为x ，y ，则⎩⎨⎧x ＋y ＝600－260，x －y ＝20，解得⎩⎨⎧x ＝180，y ＝160，因此C 产品数量为1 600. 答案 C 9．函数y ＝cos πxx 的图象大致为( )．解析 考虑函数的性质，它是奇函数，排除C ，D ；当x 从正方向趋向于0时，cos πxx →＋∞，排除B ，故选A. 答案 A10．如图为长方体与圆柱构成的组合体的三视图，则该几何体的体积为( )．A ．64＋32πB ．64＋64πC ．256＋64πD ．256＋128π解析 由题意，V ＝8×8×4＋π×42×4＝256＋64π. 答案 C11．已知△ABC 是边长为4的等边三角形，点D ，E 分别满足DC →＝－AC →，BE →＝EC →，则AB →·DE →＝( )． A ．8 B ．4 C ．－8D ．－4解析 AB →·DE →＝AB →·(DC →＋CE →)＝AB →·⎝ ⎛⎭⎪⎫－AC →＋12CB →＝－AB →·AC →＋12AB →·CB →＝－4×4×cos π3＋12×4×4×cos π3＝－4. 答案 D12．定义在R 上的函数f (x )满足：f ′(x )＞f (x )恒成立，若x 1＜x 2，则e x 1f (x 2)与e x 2f (x 1)的大小关系为( )． A ．e x 1f (x 2)＞e x 2f (x 1) B ．e x 1f (x 2)＜e x 2f (x 1) C ．e x 1f (x 2)＝e x 2f (x 1)D ．e x 1f (x 2)与e x 2f (x 1)的大小关系不确定解析 设g (x )＝f (x )e x ，则g ′(x )＝f ′(x )e x－f (x )e x(e x )2＝f ′(x )－f (x )e x ，由题意g ′(x )＞0，所以g (x )单调递增，当x 1＜x 2时，g (x 1)＜g (x 2)，则f (x 1)e x 1＜f (x 2)e x 2，所以e x 1f (x 2)＞e x 2f (x 1)． 答案 A 二、填空题13．若实数x ，y 满足不等式组⎩⎨⎧x ≥1，y ≥1，x ＋2y ≤5，则yx 的最大值是________．解析 作出不等式组表示的平面区域(可行域)，如图△ABC 内部(含边界)，yx 表示可行域内点与原点连线的斜率，最大值在A (1,2)处取得，y x ＝21＝2.答案 214．执行如图的程序框图，则输出的S 的值为________．解析 S ，T ，n 的值依次为3,1,2；6,4,3；9,11,4，此时有T ＞S ，因此执行语句S ＝S －n ＝5，输出S ＝5. 答案 515．设P 是双曲线x 2a 2－y 2b 2＝1上的点，它的一条渐近线方程为y ＝32x ，两焦点间距离为213，F 1，F 2分别是该双曲线的左、右焦点，若|PF 1|＝3，则|PF 2|＝________. 解析 由题意b a ＝32，又2c ＝2a 2＋b 2＝213，所以a ＝2，b ＝3，由双曲线定义得||PF 2|－|PF 1||＝2a ＝4，故|PF 2|＝7. 答案 716．在△ABC 中，角A ，B ，C 的对边分别为a ，b ，c ，若其面积S ＝b 2＋c 2－a 216，则cos A ＝________.解析 因为b 2＋c 2－a 2＝2bc cos A ，由S ＝b 2＋c 2－a 216得b 2＋c 2－a 2＝16S ，即2bc cos A ＝16×12bc sin A ，cos A ＝4sin A ，所以cos A ＝41717. 答案41717。
【创新设计】2015高考数学(人教通用,文科)二轮专题训练：小题综合限时练1
限时练(一)(建议用时：40分钟)一、选择题1．已知集合A ＝{－1,0,1}，B ＝{x |－1≤x ＜1}，则A ∩B ＝( )． A ．{0} B ．{0,1} C ．{－1,0}D ．{－1,0,1}解析 A ∩B ＝{－1,0}． 答案 C2．若(1＋2a i)i ＝1－b i ，其中a ，b ∈R ，则|a ＋b i|＝( )． A.12＋i B ． 5 C.52D ．54 解析 因为(1＋2a i)i ＝1－b i ，所以－2a ＋i ＝1－b i ，a ＝－12，b ＝－1，|a ＋b i|＝|－12－i|＝52. 答案 C3．设a ＝log 123，b ＝(13)0.2，c ＝213，则( )． A ．a ＜b ＜cB ．c ＜b ＜aC ．c ＜a ＜bD ．b ＜a ＜c解析 由函数的性质得到a ＝log 123＜0，b ＝(13)0.2∈(0,1)，c ＝213＞1，所以，a ＜b ＜c . 答案 A4．等差数列{a n }的前n 项和为S n ，若a 2＋a 4＋a 6＝12，则S 7的值是( )． A ．21B ．24C ．28D ．7解析 ∵a 2＋a 4＋a 6＝3a 4＝12，∴a 4＝4， ∴S 7＝a 1＋a 72×7＝7a 4＝28. 答案 C5．设a ，b ∈R ，则“(a －b )·a 2＜0”是“a ＜b ”的( )． A ．充分非必要条件 B ．必要非充分条件 C ．充要条件D ．既不充分也不必要条件解析 由(a －b )·a 2＜0，得a ≠0且a ＜b ；反之，由a ＜b ，不能推出(a －b )·a 2＜0，即“(a －b )·a 2＜0”是“a ＜b ”的充分非必要条件． 答案 A6．抛物线y 2＝4x 的焦点到双曲线x 2－y 23＝1的渐近线的距离是( )．A.12 B ．32 C ．1D ． 3解析 抛物线y 2＝4x 的焦点为(1,0)，双曲线x 2－y 23＝1的渐近线为x ±33y ＝0，所以抛物线y 2＝4x 的焦点到双曲线x 2－y 23＝1的渐近线的距离是|1±33×0|1＋⎝ ⎛⎭⎪⎫332＝32. 答案 B7．某程序框图如图所示，若输出的S ＝57，则判断框内应填入( )．A ．k ＞7?B ．k ＞6?C ．k ＞5?D ．k ＞4?解析 由程序框图可知，程序在运行过程中各变量值变化如下表：k S 是否满足条件 循环前 1 1 否 第一次循环 2 4 否 第二次循环 3 11 否 第三次循环 4 26 否 第四次循环557是所以退出循环的条件应为k ＞4. 答案 D8．已知函数f (x )＝A sin(ωx ＋φ)⎝ ⎛⎭⎪⎫A ＞0，ω＞0，|φ|＜π2的图象如图所示，则f (x )的解析式为( )．A ．f (x )＝sin ⎝ ⎛⎭⎪⎫2x ＋π3B ．f (x )＝sin ⎝ ⎛⎭⎪⎫2x －π3C ．f (x )＝sin ⎝ ⎛⎭⎪⎫2x ＋π6D ．f (x )＝sin ⎝ ⎛⎭⎪⎫2x －π6解析 由图象可知A ＝1，且14T ＝14×2πω＝7π12－π3＝π4， ∴ω＝2，f (x )＝sin(2x ＋φ)．把⎝ ⎛⎭⎪⎫7π12，－1代入得：－1＝sin ⎝ ⎛⎭⎪⎫2×7π12＋φ，又∵|φ|＜π2， ∴7π6＋φ＝3π2， ∴φ＝π3， ∴f (x )＝sin ⎝ ⎛⎭⎪⎫2x ＋π3. 答案 A9．已知O 是坐标原点，点A (－2,1)，若点M (x ，y )为平面区域⎩⎨⎧x ＋y ≥2，x ≤1，y ≤2上的一个动点，则O A →·OM →的取值范围是( )． A ．[－1,0] B ．[－1,2] C ．[0,1]D ．[0,2]解析 ∵A (－2,1)，M (x ，y )，∴z ＝O A →·OM →＝－2x ＋y ，作出不等式组对应的平面区域及直线－2x ＋y ＝0，如图所示．平移直线－2x ＋y ＝0，由图象可知当直线经过点N (1,1)时，z min ＝－2＋1＝－1；经过点M (0,2)时，z max ＝2. 答案 B10．如图F 1，F 2是双曲线C 1：x 2－y23＝1与椭圆C 2的公共焦点，点A 是C 1，C 2在第一象限的公共点．若|F 1F 2|＝|F 1A |，则C 2的离心率是( )．A.13 B ．23 C.15D ．25解析 由题意知，|F 1F 2|＝|F 1A |＝4， ∵|F 1A |－|F 2A |＝2，∴|F 2A |＝2， ∴|F 1A |＋|F 2A |＝6， ∵|F 1F 2|＝4， ∴C 2的离心率是46＝23. 答案 B11．已知某几何体的三视图如图所示，其中俯视图和侧视图都是腰长为4的等腰直角三角形，正视图为直角梯形，则此几何体的体积V 为( )．A.323 B ．403 C.163D ．40解析 观察三视图可知，该几何体为四棱锥，底面为直角梯形，两个侧面与底面垂直，棱锥的高为4，由图中数据得该几何体的体积为13×4＋12×4×4＝403.答案 B12．已知定义在R 上的函数f (x )是奇函数且满足f ⎝ ⎛⎭⎪⎫32－x ＝f (x )，f (－2)＝－3，数列{a n }满足a 1＝－1，且S n n ＝2×a nn ＋1(其中S n 为{a n }的前n 项和)，则f (a 5)＋f (a 6)＝( )． A ．－3 B ．－2 C ．3D ．2解析 ∵函数f (x )是奇函数， ∴f (－x )＝－f (x )，∵f (32－x )＝f (x )， ∴f (32－x )＝－f (－x )，∴f (3＋x )＝f (x )， ∴f (x )是以3为周期的周期函数． ∵S n n ＝2×a nn ＋1，∴S n ＝2a n ＋n ，S n －1＝2a n －1＋(n －1)(n ≥2)． 两式相减并整理得出a n ＝2a n －1－1， 即a n －1＝2(a n －1－1)，∴数列{a n －1}是以2为公比的等比数列，首项为a 1－1＝－2， ∴a n －1＝－2·2n －1＝－2n ，a n ＝－2n ＋1， ∴a 5＝－31，a 6＝－63.∴f (a 5)＋f (a 6)＝f (－31)＋f (－63)＝f (2)＋f (0)＝f (2)＝－f (－2)＝3. 答案 C 二、填空题13．曲线f (x )＝e x 在x ＝0处的切线方程为__________． 解析 ∵f ′(x )＝e x ，∴f ′(0)＝1.又f (0)＝1， ∴切线方程为：y －1＝x ，即x －y ＋1＝0.答案 x －y ＋1＝014．已知向量p ＝(2，－1)，q ＝(x,2)，且p ⊥q ，则|p ＋λq |的最小值为__________． 解析 ∵p ·q ＝2x －2＝0，∴x ＝1， ∴p ＋λq ＝(2＋λ，2λ－1)，∴|p ＋λq |＝(2＋λ)2＋(2λ－1)2＝5λ2＋5≥ 5. 答案515．在△ABC 中，角A ，B ，C 的对边分别是a ，b ，c ，若a ＝2，b ＝2，sin B ＋cos B ＝2，则角A 的大小为________．解析 由sin B ＋cos B ＝2，得2sin ⎝ ⎛⎭⎪⎫B ＋π4＝2，sin ⎝ ⎛⎭⎪⎫B ＋π4＝1，而B ∈(0，π)，所以B ＝π4.由正弦定理得，sin A ＝a sin B b ＝12，又A ＋B ＋C ＝π，A ∈⎝ ⎛⎭⎪⎫0，3π4，∴A ＝π6. 答案 π616．已知a ＞0，b ＞0，方程为x 2＋y 2－4x ＋2y ＝0的曲线关于直线ax －by －1＝0对称，则3a ＋2bab 的最小值为______．解析 该曲线表示圆心为(2，－1)的圆，直线ax －by －1＝0经过圆心，则2a ＋b －1＝0，即2a ＋b ＝1，所以 3a ＋2b ab ＝3b ＋2a ＝(3b ＋2a )(2a ＋b )＝6a b ＋2ba ＋7≥26a b ·2ba ＋7＝7＋43(当且仅当a ＝2－3，b ＝23－3时等号成立)．答案 7＋4 3。
新高三英语二轮复习限时训练(词汇 语法填空 完形 七选五)11
一、词汇语法巩固练习A)1.One discovery I made about __________ (give) something away is __________it is almost possible to give anything away in his world, and the return often comes __________ an unexpected way.2.People’s recognition of this beautiful, __________ (culture) remarkable island isan honor. But __________ fact that it is a heritage site means much more than __________.3.Although household pesticides are quite safe and easy __________(use), theymust be handled __________ care and in accordance with the label __________ (instruct).4.I came to study in the United States __________year ago. Yet I did not know__________ real American society until I was injured in a car accident because after __________ accident I had to see a doctor and go to court.5.The robot can show emotions, like anger and __________ (sad) and change intodifferent moods, __________ (depend) on the topics she is talking about.6.How would you like __________ if you were watching your favorite TV programand someone came into the room and just shut it off __________ asking you?7.But heritage can also be a __________(remind) of a lifestyle of the past. Justlook at Vienna’s coffee culture: UNESCO gave the award, not to particular cafes in Austria, __________to the culture of those places; the award was for __________ happened there, not for the venues __________ (they).8.Born on August 23, 1988 in America, Jeremy Shu-How Lin is a __________(profession) basketball player with the Huston Rockets of the National Basketball Association (NBA). But, __________some degree, many Chinese fans and coaches take him as a Chinese guy __________at least are willing to imagine him __________ a Chinese just __________ he has a typical Chinese face and his parents were born in China.9.In the chemistry lab, because of the student's __________ (care), the tube crackedand the liquid in it caused a fire on the table. __________ (fortune), he put it out __________ time at last.10.There is a saying that __________ (go), “All roads lead to Rome.” Roads wereessential for the __________ (grow) of the Roman Empire. These roads enabledthe Romans to move armies __________ (efficient). At its peak, the Roman road system __________(cover) 53, 000 miles and contained about 372 links. The Romans were good at constructing these roads, __________ were called viae(通路)．B)1.Judging by the ________ he keeps, Mark must be an extremely wealthy man.A. cooperationB. characteristicC. motivationD. company2.Mary worked here as a ______ secretary and ended up getting a full-time jobwith the company.A. pessimisticB. temporaryC. previousD. cautious3.Much to our surprise, the witness's ________ of the traffic accident differed fromthe official version in several aspects.A. accountB. opinionC. instructionD. explanation4.Most people on this island are recreational fishers, and________, fishing formsan actual part of their leisure time.A. accidentallyB. purposefullyC. obviouslyD. formally5.We have very strict quality control and anything imperfect is________, socustomers feel secure about our products.A. deniedB. rejectedC. desertedD. refused6.His remark was considered to be quite ______, because it deepened the gapbetween two parties and caused more conflicts.A. out of placeB. out of mindC. out of questionD. out of order7.His efforts to raise money for his program were ______ because, no one showedany intention to take a cent out of their pockets.A. in placeB. in sightC. in effectD. in vain8.Don’t defend him any more. It’s obvious that he _______destroyed the fence ofthe garden even without an apologyA. accidentallyB. automaticallyC. deliberatelyD. carelessly9.Shirley Temple is a former Hollywood child star, who began to enjoy great_________ for the role she had played in films, when she was just 5 years old.A. performanceB. fameC. devotionD. assistance10.Despite the fact that Philip has been working hard, it is______ clear that he hasno chance of passing his examination.A. absolutelyB. immediatelyC. confidentlyD. painfully11.Now I need lots of time to ________ my thoughts thoroughly because I want togive them a confident report.A. make outB. figure outC. leave outD. sort out12.She looked in the direction of the window, but there was nothing in front ______the deep darkness.A. other thanB. rather thanC. more thanD. less than13.It is believed that high achievers are ambitious, hard working, and work towardpersonal standards of excellence ______ material rewards.A. other thanB. or ratherC. rather thanD. or elseanically grown produce does not differ greatly in appearance from ______grown crops.A. tentativelyB. conventionallyC. properlyD. regularly15.Obviously, the advantage we take of solar energy is _____ enough. We have towork still harder.A. far fromB. next toC. as suchD. well above二、七选五A year ago, I had one of the most important interviews of my life.(1)____________ I could say what I thought the members of the interview wanted to hear. I'm so-good at multitasking that I would be able to shoulder the various responsibilities. That might be true, yet it seemed to be unreal. The more honest answer was that I knew it would be difficult, but I wanted to try anyway.(2)____________This tough situation led me to hesitate during the interviews. It also recalled my past experience of being interviewed when an interviewer asked me to give an example of a time when I had been caring. The answer that came to mind was that I volunteered at a nursing home and felt honored to sit with the patients and listen to their stories. But I didn't think that was dramatic enough to impress the interviewers. So, instead I told them about when one of the residents threw up, I cleaned it up.(3)____________ That wasn't caring and it suggested that my best quality was skillful at using mop(拖把)Back to my most recent interview and the question about how to shoulder the multiple responsibilities of the role. (4)____________ I had learned the significance of being true to myself. So I answered simply, "With difficulty". To my relief, the review members nodded knowingly and smiled. This exam can test my honesty and I can come up with appropriate answers.I've come to realize that interviews don't have "right" or "wrong" answers. I still see them as exams, but they're not testing my ability to copy somebody else's answers. Actually, the exam is about something I am well familiar with: me. (5)____________.A. I hesitated but not for long.B. I immediately felt embarrassed.C. I wasn't sure which answer to give.D. Never give the interviewers wrong answers.E. It seemed the interviewers were quite satisfied.F. It's not about "right" answers but about being yourself.G. At the end, I was asked how to balance the different parts of the role.三、完形填空In those years, like many busy adults, I found myself exhausted, unable to appreciate the true meaning of Christmas.My son, Nicholas, was in kindergarten. It was a(n) ___1___ season for the six-year-old. For weeks, he’d been ___2___ the song “Christmas Love” for his school’s “Winter Pageant”.The day finally came. Each ___3___, one by one, rose to perform their song. When my son’s class rose to ___4___, Nicholas was aglow, as were all of his classmates, adorned(装饰) in red ___5___ and bright snow-caps. Those in the front row held up large letters, one by one, to ___6___ the title of the song. As the class sang “C is for Christmas”, a child would hold up the letter C. Then, “H is for Happy”, and on and on, until the complete message was ___7___, “Christmas Love”.The performance was going ___8___, until suddenly, we all noticed her: a small, quiet girl holding the letter “M” ___9___—totally unaware her letter “M” appeared as a “W”.The audience snickered at this little one’s ___10___. But she had no idea they were laughing at her, so she stood ___11___, proudly holding her “W”. The laughter continued until the last letter was raised, and we all ___12___ it together. Silence came over the audience and eyes began to ___13___.In that instant, we understood the reason we were there and why, even in the chaos, there was a ___14___ for our festivities. For when the last letter was held high, the message ___15___ loud and clear: “CHRIST WAS LOVE”. And He still is.1. A. exciting B. surprising C. inspiring D. puzzling2. A. copying B. using C. searching D. memorizing3. A. boy B. student C. class D. team4. A. sing B. slide C. speak D. smile5. A. boxes B. hats C. lamps D. sweaters6. A. make out B. spell out C. turn out D. give out7. A. printed B. pressed C. presented D. promoted8. A. smoothly B. quietly C. fluently D. astonishingly9. A. inside out B. upside down C. on and off D. back and forth10.A. mistake B. misuse C. misjudgment D. misfortune11.A. tall B. alone C. still D. clear12.A. wrote B. heard C. declared D. saw13.A. open B. twinkle C. widen D. water14.A. description B. purpose C. blame D. atmosphere15.A. read B. repeated C. arrived D. spread四、语法填空The field of nutrition can be divided into three main settings in which dieticians (营养师) and nutritionists can work. ____1____ (register) dieticians and nutritionists can work in clinics, in the community, and in management.In clinics, they work ____2____ (individual) with patients and their families. They evaluate, plan, and make dietary strategies and nutritional treatments ____3____ are concentrated on improving varieties of medical problems such as high blood pressure and obesity. In addition, dieticians and nutritionists in this setting, come up ____4____ plans to help patients to improve their diets and appetite, like cancer patients ____5____ (receive) chemical treatments.In the community, dieticians and nutritionists work in health and recreational ____6____ (center). They work with and target specific populations such as the elderly or children. The goal of this targeting ____7____ (be) to inform the public and make new plans ____8____ (achieve) healthier lifestyles.Lastly, dieticians and nutritionists can work in management. They may work in ____9____ (vary) large-scale food-service operations that feed the community. They are needed in these settings to help maintain _____10_____ better the performance of these operations through food sourcing, long-term budgeting, and menu planning.一、词汇语法巩固练习A)1. giving; that; in2. culturally; the; that3. to use; with; instructions4. a; the; the5. sadness; depending6. it; without7. reminder; but; what; themselves8. professional; to; or; as; because9. carelessness; Fortunately; in10. goes; growth; efficiently; covered; whichB) DBACB ADCBD DACBA二、GCBAF三、ADCAD 46-50 BCABA 51-55 ADCBA四、1. Registered2. individually3. that/which4. with5. receiving6. centers7. is8. to achieve9. various 10. andGCBAF【解析】本文是一篇记叙文，作者回忆自己的一次面试经历，说明面试时要诚实，要做自己。
2015高考理科数学(人教版通用)二轮专题整合：限时练6
限时练(六)(建议用时：40分钟)一、选择题1．已知R 是实数集，M ＝{x |2x ＜1}，N ＝{y |y ＝x －1＋1}，则N ∩∁R M ＝ ( )． A ．(1,2) B ．[0,2] C ．∅D ．[1,2]解析 ∵2x ＜1，∴x －2x ＞0，∴x ＜0或x ＞2，∴M ＝{x |x ＜0或x ＞2}，∵y ＝x －1＋1≥1，∴N ＝{y |y ≥1}，∴N ∩∁R M ＝[1,2]． 答案 D2．在复平面内，复数－2＋3i3－4i(i 是虚数单位)所对应的点位于 ( )．A ．第一象限B ．第二象限C ．第三象限D ．第四象限解析 ∵－2＋3i 3－4i ＝(－2＋3i )(3＋4i )(3－4i )(3＋4i )＝－18＋i 25＝－1825＋125i ，∴－1825＋125i 对应的点为(－1825，125)，在第二象限． 答案 B 3.3cos 10°－1sin170°＝ ( )．A ．4B ．2C ．－2D ．－4解析3cos10°－1sin170°＝3cos10°－1sin10°＝3sin10°－cos10°sin10°cos10°＝2sin (10°－30°)12sin20°＝－2sin20°12sin20°＝－4.答案 D4．关于统计数据的分析，有以下几个结论：①利用残差进行回归分析时，若残差点比较均匀地落在宽度较窄的水平带状区域内，则说明线性回归模型的拟合精度较高；②将一组数据中的每个数据都减去同一个数后，期望与方差均没有变化； ③调查剧院中观众观后感时，从50排(每排人数相同)中任意抽取一排的人进行调查是分层抽样法；④已知随机变量X 服从正态分布N (3,1)，且P (2≤X ≤4)＝0.682 6，则 P (X ＞4)＝0.158 7；⑤某单位有职工750人，其中青年职工350人，中年职工250人，老年职工150人，为了了解该单位职工的健康情况，用分层抽样的方法从中抽取样本，若样本中的青年职工为7人，则样本容量为15人． 其中正确的个数为 ( )．A ．2B ．3C ．4D ．5解析 ①正确；②将一组数据中的每个数据都减去同一个数后，期望变小了，而方差不变，所以②错；③属于随机抽样；④P (X ＞4)＝12[1－P (2≤x ≤4)]＝ 12(1－0.682 6)＝0.158 7，所以④正确；⑤设样本容量为n ，根据分层抽样得7350＝n750，得n ＝15，所以⑤正确．综上可知：①④⑤正确． 答案 B5．等差数列{a n }中，3(a 3＋a 5)＋2(a 7＋a 10＋a 13)＝24，则该数列前13项的和是( )．A ．13B ．26C ．52D ．156解析 ∵3(a 3＋a 5)＋2(a 7＋a 10＋a 13)＝24，∴6a 4＋6a 10＝24，∴a 4＋a 10＝4，∴S 13＝13(a 1＋a 13)2＝13(a 4＋a 10)2＝13×42＝26.答案 B6.把边长为2的正方形ABCD 沿对角线BD 折起，连接AC ，得到三棱锥C －ABD ，其正视图、俯视图为全等的等腰直角三角形(如图所示)，则其侧视图的面积为( )．A.32 B ．12 C ．1D ．22解析 由条件知直观图如图所示，其中M 是BD 的中点，则CM ⊥平面ABD ，侧视图就是Rt △CMA ，CM ＝AM ＝1，CM ⊥AM ，S △CMA ＝12×1×1＝12.答案 B7．程序框图如图所示，该程序运行后输出的S 的值是( )．A ．2B ．13C ．－3D ．－12解析 由程序框图知：S ＝2，i ＝1；S ＝1＋21－2＝－3，i ＝2；S ＝1－31＋3＝－12，i ＝3；S ＝1＋(－12)1－(－12)＝13，i ＝4；S ＝1＋131－13＝2，i ＝5；…，可知S 的周期为4，当i ＝2 015＝4×503＋3时，结束循环输出S ，即输出S ＝－12. 答案 D8．已知向量a ，b ，满足|a |＝2|b |≠0，且关于x 的函数f (x )＝13x 3＋12|a |x 2＋a·b x 在R上有极值，则向量a ，b 的夹角的取值范围是 ( )．A.⎣⎢⎡⎭⎪⎫0，π6 B ．⎝ ⎛⎦⎥⎤π6，πC.⎝ ⎛⎦⎥⎤π3，π D ．⎝ ⎛⎭⎪⎫π3，2π3解析 设a 、b 的夹角为θ，∵f (x )＝13x 3＋12|a |x 2＋|a ||b |cos θ·x ＝13x 3＋12|a |x 2＋ 12|a |2cos θ·x ，∴f ′(x )＝x 2＋|a |x ＋12|a |2cos θ，∵函数f (x )有极值，∴f ′(x )＝0有2个不同的实根，∴Δ＝|a |2－2|a |2cos θ＞0，即1－2cos θ＞0，∴cos θ＜12，∴π3＜θ≤π. 答案 C9．设锐角△ABC 的三内角A 、B 、C 所对边的边长分别为a 、b 、c ，且a ＝1，B ＝2A ，则b 的取值范围为( )．A ．(2，3)B ．(1，3)C ．(2，2)D ．(0,2)解析 ∵B ＝2A ，∴sin B ＝sin 2A ，∴sin B ＝2sin A cos A ，∴b ＝2a cos A ，又∵a ＝1，∴b ＝2cos A ，∵△ABC 为锐角三角形，∴0＜A ＜π2，0＜B ＜π2，0＜C ＜π2，即0＜A ＜π2，0＜2A ＜π2，0＜π－A －2A ＜π2，∴π6＜A ＜π4，22＜cos A ＜32，∴2＜2cos A ＜3，∴b ∈(2，3)． 答案 A10．设F 1，F 2是双曲线C ：x 2a 2－y 2b 2＝1(a ＞0，b ＞0)的两个焦点，P 是C 上一点，若|PF 1|＋|PF 2|＝6a ，且△PF 1F 2的最小内角为30°，则C 的离心率为 ( )． A. 2 B ．2 2 C. 3D ．433解析 设P 点在双曲线右支上，由题意得⎩⎨⎧|PF 1|＋|PF 2|＝6a ，|PF 1|－|PF 2|＝2a ，故|PF 1|＝4a ，|PF 2|＝2a ，由条件得∠PF 1F 2＝30°，由2asin 30°＝4asin ∠PF 2F 1，得sin ∠PF 2F 1＝1，∴∠PF 2F 1＝90°，在Rt △PF 2F 1中，2c ＝(4a )2－(2a )2＝23a ，∴e ＝ca ＝ 3. 答案 C11．在平面直角坐标系中，记抛物线y ＝x －x 2与x 轴所围成的平面区域为M ，该抛物线与直线y ＝kx (k ＞0)所围成的平面区域为A ，向区域M 内随机抛掷一点P ，若点P 落在区域A 内的概率为827，则k 的值为 ( )．A.13 B ．23 C.12D ．34解析 ∵M 的面积为⎠⎛01(x －x 2)d x ＝⎪⎪⎪⎝ ⎛⎭⎪⎫12x 2－13x 3＝16，A 的面积为(x －x 2－kx )d x ＝⎪⎪⎪⎝ ⎛⎭⎪⎫12x 2－13x 3－k 2x 21－k 0＝16(1－k )3，∴16(1－k )316＝827，∴k ＝13.答案 A12．已知函数f (x )＝⎩⎪⎨⎪⎧14x ＋1，x ≤1ln x ，x ＞1，则方程f (x )＝ax 恰有两个不同的实根时，实数a 的取值范围是(注：e 为自然对数的底数) ( )．A.⎝ ⎛⎭⎪⎫0，1e B ．⎣⎢⎡⎭⎪⎫14，1eC.⎝ ⎛⎭⎪⎫0，14 D ．⎣⎢⎡⎭⎪⎫14，e解析 ∵y ＝ln x (x ＞1)，∴y ′＝1x ，设切点为(x 0，y 0)，∴切线方程为y －y 0＝1x(x －x 0)，∴y －ln x 0＝1x 0(x －x 0)，若其与y ＝ax 相同，则a ＝1x 0，ln x 0－1＝0，∴x 0＝e ，∴a ＝1e .当直线y ＝ax 与y ＝14x ＋1平行时，直线为y ＝14x ，当x ＝1时，ln x －14x ＝ln 1－14＜0，当x ＝e 时，ln x －14x ＝ln e －14e ＞0，当x ＝e 3时，ln x －14x ＝ln e 3－14e 3＜0，∴y ＝ln x 与y ＝14x 的图象在(1，e)，(e ，e 3)上各有1个交点，∴直线y ＝ax 在y ＝14x 和y ＝1e x 之间时，与函数f (x )的图象有2个交点，所以a ∈[14，1e )，故选B.答案 B 二、填空题13．若(x 2＋1x )n 的二项展开式中，所有项的二项式系数和为64，则该展开式中的常数项为________．解析 ∵所有项的二项式系数和为64，∴2n ＝64.∴n ＝6，∴(x 2＋1x )n ＝(x 2＋1x )6，∴T r ＋1＝C r 6(x 2)6－r ·(1x)r ＝C r 6x12－3r，令12－3r ＝0，得r ＝4，∴常数项为C 46＝15.答案 1514．已知△P AD 所在平面与矩形ABCD 所在平面互相垂直，P A ＝PD ＝AB ＝2，∠APD ＝90°，若点P 、A 、B 、C 、D 都在同一球面上，则此球的表面积等于________． 解析 如图在Rt △P AD 中，AD ＝4＋4＝22，过△P AD 的外心M 作垂直于平面P AD 的直线l ，过四边形ABCD 的外心O 作垂直于平面ABCD 的直线m ，两线交于点O ，则O 为四棱锥P －ABCD 的外接球球心，2R ＝AC ＝4＋8＝23(R 为四棱锥P －ABCD 外接球的半径)，即R ＝3，∴四棱锥P －ABCD 外接球的表面积S ＝4πR 2＝12π.答案 12π15．已知数列{a n }中，a 1＝1，a 2＝2，设S n 为数列{a n }的前n 项和，对于任意的n ＞1，n ∈N *，S n ＋1＋S n －1＝2(S n ＋1)都成立，则S 10＝________. 解析 ∵⎩⎨⎧S n ＋1＋S n －1＝2S n ＋2，S n ＋2＋S n ＝2S n ＋1＋2，∴a n ＋2＋a n ＝2a n ＋1，∴数列{a n }从第二项开始为等差数列，当n ＝2时，S 3＋S 1＝2S 2＋2，∴a 3＝a 2＋2＝4，∴S 10＝1＋2＋4＋6＋…＋18＝1＋9(2＋18)2＝91. 答案 9116．在△ABC 中，边AC ＝1，AB ＝2，角A ＝2π3，过A 作AP ⊥BC 于P ，且AP →＝λAB →＋μAC→，则λμ＝________. 解析 AB →·AC →＝2×1×cos 2π3＝－1，∵AP ⊥BC ，∴AP →·BC→＝0，即(λAB →＋μAC →)·(AC →－AB →)＝0，∴(λ－μ)AB →·AC →－λAB →2＋μAC →2＝0，即μ－λ－4λ＋μ＝0，∴μ＝52λ①，∵P ，B ，C 三点共线，∴λ＋μ＝1②，由①②联立解得⎩⎪⎨⎪⎧λ＝27，μ＝57，∴λμ＝27×57＝1049. 答案 1049。
新教材2024届高考英语二轮专项分层特训卷第二部分题型组合练组合练四
组合练四(限时练40分钟)Ⅰ.阅读理解Facebook and RayBan have released their first pair of camera smart glasses, RayBan Stories. Facebook hopes they'll be worn to take pictures and short videos, listen to music, and make phone calls, by anyone 13 or older.The glasses, which Facebook had made fun of in the past, start at $299 and come in three styles, and are available to buyers in six countries, including the United States, Canada, and the United Kingdom.Hind Hobeika, a product manager for augmentedreality devices at Facebook Reality Labs, told me RayBan Stories are “the first smart glasses that people will want to wear”．Facebook lent me a pair of RayBan Stories with sunglass lenses (镜片) so I could decide for myself. RayBan Stories rely on a companion smartphone app called Facebook View to let you see, edit and share images and videos. It was easy to send pictures to friends via the app.As far as I could tell, nobody noticed anything unusual about the glasses while chasing my kids around a busy playground, even when I was taking numerous short videos. It would have been easy to use these glasses to invade other people's privacy.I spoke with Jeremy Greenberg, policy counsel at the Future of Privacy Forums, about my experience. He said there's “definitely some concerns” that people didn't appear to notice that I was capturing pictures and videos—something that would be more obvious if I had pulled out my phone.“It'll be interesting to see, if this technology becomes widespread, will folks sort of develop that cultural understanding that their images might be taken or videos might be taken？” he asked. “It's real that time will tell.”And after days of trying them out, I still didn't have the sense that I (or anyone, really) need RayBan Stories. You may need eyeglasses or sunglasses, and a smartphone, too. But it's going to be tough for Facebook to convince most people that they haveto have a device that can repeat a few of their phone's features sitting on their face—even one that looks this good.1．What can we learn about RatBan Stories?A．They are intended for adults. B．Each pair is no more than $299.C．Hind Hobeika has confidence in them. D．They are being sold all over the world.2．What can we use Facebook View to do?A．Revise photos. B．Produce videos.C．Listen to music. D．Make phone calls.3．What was Jeremy Greenberg curious to know?A．Whether people will buy RayBan Stories.B．Whether people like to have their photos taken.C．Whether RayBan Stories will replace mobile phones.D．Whether RayBan Stories will develop well.4．What is the author's final conclusion about RayBan Stories?A．They are practical. B．They are unnecessary.C．They will cause trouble. D．They will benefit us greatly.[答题区]Ⅱ.阅读七选五No matter what your goals are in life, there is one great law that you need to obey in order to be successful: no one else is going to climb the ladder (梯子) of success for you. __1__ From the day you leave your parents' house, you are responsible for your life and the choices you make.If you want a better life, you need to make better decisions. __2__ However, it doesn't change anything. Only you can change your life by changing the choices you make. Take responsibility for everything in your life. Even if it's not in your direct control, you can always choose how you respond.__3__ If you choose what is fun and easy over what is necessary, you will never reach the levels of success and happiness you are capable of achieving in your life. That's because every great victory requires great sacrifice. If success was easy, everybody would be successful.There is nothing that you can't achieve with hard work. People often think that their lives will suddenly change through some magical event in the future. __4__ Your life changes only to the extent that you change. Nothing will ever change if you don't change what you do daily.A great way to actively create your future is to ask yourself: If I already achieved my goals, how would I act on a daily basis? What books would I read, how often would I work out, and how would I spend my time at the office? __5__ A．But that is not the case.B．No one else is responsible for your life.C．Now these questions seem like magic to you.D．Nothing else can be the drive for your success.E．Once you answer these questions, you know what to do.F．The biggest enemy to success is the path of least resistance.G．You can blame other people for your lack of happiness all life long.[答题区]1．________ 2.________ 3.________ 4.________ 5.________Ⅲ.语法填空As is known to all, people around the world spend billions of dollars every year 1.________ (attempt) to look younger. Companies produce thousands of creams, pills and treatments for our skin to look younger. In addition, scientists 2.________ (work) for decades on trying to slow down the ageing process.This week, scientists made a breakthrough. They have developed a method to “time jump” cells in human skin. The scientists from the Babraham In stitute in Cambridge, the UK say they can turn back 3.________ ageing clock in cells by 30 years, which could make skin look younger. Skin cells in their tests kept all of the important functions. The scientists say their research is still at an early stage, 4.________that it could help people look younger in the future.The technique developed 5.________ the group could change medicine and health. The lead researcher, Dr Diljeet Gill, said：“So far, we've only tested this technique in skin cells. We're excited 6.________ (see) if we can translate it across other cell types.” This means it could 7.________ (use) to treat skin problems, like burns, acne and eczema. The scientists hope their 8.________ (finding) could also be applied to other parts of the body. Their new method could additionally help to heal cuts more quickly, 9.________ (especial) in older people. Researcher Dr Wolf Reik said：“If you cut yourself, it'll take 10.________ (quick) to heal the wound.”[答题区]1．________ 2.________ 3.________ 4.________ 5.________6．________ 7.________ 8.________ 9.________ 10.________Ⅳ.完形填空Jennifer Vernancio is a waitress at a pizza place called The Big Cheese. Being a single mum to a 16yearold daughter and 3yearold son, she has been struggling to bring in an __1__ and take care of her children.“It's been __2__. However, The Big Cheese works with us no matter what. Especially with my schedule，” said Jennifer. “I have indeed super __3__.” Kim Tierney, the manager of The Big Cheese, said, “We are just a big __4__. All the employees work together to help each other out.”Jennifer was having a __5__ day last Wednesday. The waitress was __6__ to come to open the restaurant, but couldn't __7__ child care. “There were sick kids at day care，”she said. “My son can't be __8__ sick kids, so I had to wait until my daughter was __9__ after school. That's when I came in.”Jennifer was about to have her whole day __10__ in the best way. A couple that just ordered some sandwiches tipped her a(n) __11__ amount—$810, the largest she has __12__ in her 20 years of working in the restaurant industry!“There are angels out there，” said Kim after seeing Jennifer's tip. “You never know what someone is __13__. Sometimes, the little gesture of kindness can go a long way. It makes a __14__ in someone's life.”“The tip is more than money; it's just true kindness，” said Jennifer with great __15__. “The money does help out.”1．A.income B．invention C．ambition D．education2．A.interesting B．tough C．precious D．extraordinary3．A.volunteers B．colleagues C．researchers D．performers4．A.society B．organization C．family D．club5．A.splendid B．spare C．professional D．stressful6．A.scheduled B．allowed C．forced D．recommended7．A.require B．provide C．afford D．find8．A.around B．without C．behind D．from9．A.capable B．addictive C．available D．alternative10．A.set aside B．settled down C．taken up D．turned around11．A.minimum B．increasing C．average D．generous12．A.demanded B．exchanged C．received D．donated13．A.going through B．picking up C．applying for D．coming across 14．A.choice B．difference C．decision D．sacrifice15．A.anxiety B．awareness C．curiosity D．gratitude[答题区]1～5 ________ 6～10 ________ 11～15 ________组合练四（限时练40分钟）Ⅰ.阅读理解【语篇解读】Facebook和RayBan合作开发了一款带摄像头的智能眼镜，作者经过几天的体验后对它做出了负面的评价。
2023年高考复习专项练习二轮英语40分写作限时满分练(四)
40分写作限时满分练(四)(限时40分钟)Ⅰ.应用文写作(满分15分)(2021·广东佛山高中教学质量检测)假定你是学校的外教助理李华, 因五一假期安排, 学校调整了课程表(class schedule), 请你给Peter写一封邮件, 告知放假时间, 并提醒他查看新课程表。
注意:1.词数80左右。
2.开头和结尾已给出, 不计入总词数。
Dear Peter,I’m writing to inform you aboutYours,Li Hua Ⅱ.读后续写(满分25分)(2021·湖北武汉4月质检)阅读下面材料, 根据其内容和所给段落开头语续写两段, 使之构成一篇完整的短文。
续写词数应为150左右。
Monday started out great. I woke up on time, ate breakfast and did some last minute studying for my first hour maths test. I was confident of getting good grades. Then I left my house. Ten minutes later, I was settled with my friends on the school bus. We were busy chatting about how we spent our weekend. At one stop, Fat Ryan got on hurriedly. He tripped over someone’s foot accidentally and fell flat onto the floor.Every one of us on the bus looked on and laughed crazily. Ryan struggled to his feet, dusted the jacket and made his way to an empty seat. He tried to laugh with us, but his face was burning with embarrassment. The rest of the morning flew by. I did well in my maths test. I read two more chapters of To Kill a Mockingbird in English class. It wasn’t long before there went the lunch bell. I met my friends from the cheerleading team in the dining hall. Then I couldn’t help but notice Ryan a few tables away, sitting all alone. He caught me looking. I smiled at him quickly and looked away.When we finished eating, we headed out to the courtyard to practice a cheer we would do at that night’s football game. After a little practice, we nailed the cheer, so we decided we only needed to go through it one last time. Again, just like the rest of my day so far, the cheer was going great. I raised my leg for one last toe touch. I felt my jeans split down the middle of my backside.I froze. I had no idea what to do but stand still. Then I heard people burst out laughing and I saw them pointing at my torn jeans. Trying to cover myself with my hands, I tried to laugh too, but I felt tears began to well up in my eyes.Then I saw Ryan running towards me.That night, after the cheer at the football game, I found Ryan.40分写作限时满分练(四)Ⅰ.Dear Peter,I’m writing to inform you about the school’s class schedule adjustment due to the coming Labour Day holiday.The holiday begins on 1st May and ends on 5th May, but you will have to work on the following Sunday. Therefore, there’s a new class schedule for you, which has been attached to this email. Please remember to read the attached file and make sure you know about the new class arrangement in advance. If you have any question, feel free to contact me.Wish you a happy holiday.Yours,Li Hua Ⅱ.Then I saw Ryan running towards me. Suddenly the scene struck me where he fell flat and I laughed at him crazily. I thought this would be his chance to return the favour. I lowered my head, my face burning with embarrassment. But unexpectedly Ryan didn’t laugh. Instead, he approached me from behind, took off his jacket swiftly and offered it to me, signalling to me to cover my torn jeans. Without any delay, I did it. Struggling against my tears, I did want to express my gratitude to him but courage failed me. In total silence, I left the courtyard.That night, after the cheer at the football game, I found Ryan. I thanked him, giving the jacket back to him and telling him the cheer went great. Then gathering my courage, I sincerely apologised to him for my misconduct on the bus and thanked him again for his helping me out of the desperate situation. Ryan, with a broad smile, patted me on the shoulder and told me to forget about that, joking he fell like that a lot. Hearing that, I was amused and convinced that he was someone I would be friends with. Honestly, Monday was a great day indeed!。
九年级英语全册 限时训练(四)课件
valued by another person. Think about if that is working well for you.
第七页，共十一页。
means that the 2._______m_orme usic your children touch, the faster they will learn to speak and read.
第三页，共十一页。
限时训练(xùnliàn)(四)
Songs are also used to make friendship among children better and 3.___bu_i_ld___ their selfesteem(自尊(zìzūn)). And group singing is a great way to do this. In music, there is no right or wrong and the children singing in a group are free to 4._______e_xprtehses mselves using the songs they are singing.
限时训练(xùnliàn)(四)
We all benefit from connection. That homeless man influenced my day.
After meeting him, I felt more grateful—thanking all that I have. He has caused my compassion for him. I had the choice to move towards separation or connection. Am I different from him? Absolutely not! I was in a situation that I felt broke and at a low point. At that time, I also needed someone to stop and encourage me.
限时训练(4)答案高考资料高考复习资料中考资料
限时训练（四）答案部分一、选择题题号 1 2 3 4 5 6 7 8 9 10 11 12 答案 ADACCDBBBDAD二、填空题13. {}7,9 14. 14-15. []1,1- 16.11,,A B D 解析部分1.解析 由()2i 12i i 2i 2i -=-=+，复数对应的点在第一象限.故选A .2. 解析 因为{}n a 是等比数列，所以()()*10n na q q n a +=≠∈N ， 则369,,a a a 成等比数列. 故选D . 3. 解析 对于选项A ：πcos 2sin 22y x x ⎛⎫=+=- ⎪⎝⎭， 函数的最小正周期为π且图像关于原点对称； 对于选项B ：πsin 2cos22y x x ⎛⎫=+= ⎪⎝⎭， 函数的最小正周期为π且图像关于y 轴对称； 对于选项C ：πsin 2cos224y x x x ⎛⎫=+=+ ⎪⎝⎭，函数的最小正周期为π，但其图像不关于原点对称； 对于选项D ：πsin cos 4y x x x ⎛⎫=+=+ ⎪⎝⎭，函数的最小正周期为2π，且图像不关于原点对称.故选A .4. 解析 由()23-⊥a b c ，且(),3k =a ，()1,4=b ，()2,1c =， 得()22360k --=，解得3k =.故选C.5. 解析 程序框图的执行过程如下：1,9s k ==；9,810s k ==；988,710910s k =⨯==；877,610810s k =⨯==，循环结束.故可填入的条件为710s >.故选C. 6. 解析 p 是真命题，q 为假命题，故p ⌝为假命题，q ⌝为真命题. 从而p q ∧为假，p q ⌝∧⌝为假，p q ⌝∧为假，p q ∧⌝为真.故选D.7. 解析 该几何体的直观图如图所示，易知该几何体的表面积是由两个直角三角形，两个直角梯形和一个矩形组成的. 则其表面积()()25525411343535602222S +⨯+⨯=⨯⨯+⨯⨯+++⨯=.故选B.8. 解析 设1PF m =，2PF n =，依题意不妨设0m n >>.于是3294m n b m n a mn ab⎧⎪+=⎪-=⎨⎪⎪=⎩，所以9432m n m nmn +-=⋅⋅， 得3m n =或13m n =-（舍）.所以a n =，43b n =，53c n =，故53c e a ==.故选B. 9. 解析 先不考虑小品类节目是否相邻，保证歌舞类节目不相邻的排法共有3334A A 144=（种），再剔除小品类节目相邻的情况，共有322322A A A 24⋅⋅=（种），于是符合题意的排法共有14424120-=（种）.故选B.10. 解析 依题意，抛物线()220y px p =>的准线方程为2x =-，所以22p-=-，得4p =，因此抛物线的方程为28y x =. 设过点()2,3A -的直线方程为()32y k x -=+，联立直线方程与抛物线方程，得()2328y k x y x⎧-=+⎪⎨=⎪⎩， 消x 建立关于y 的一元二次方程得2328y y k ⎛⎫-=+ ⎪⎝⎭， 即2816240ky y k -++=，()64416240k k ∆=-+=， 得22320k k +-=，解得12k =或2-（舍）. 因此直线与抛物线相切于点()8,8B ，则直线BF 的斜率43k =.故选D. 11. 解析 在ABC △中，由πA B C ++=， 得πA C B +=-，πA B C +=-，则()()1sin 2sin sin 2A ABC C A B +-+=--+， 可变形为()()1sin 2sin π2sin π2A B C C +-=--+⎡⎤⎣⎦， 即1sin 2sin 2sin 22A B C ++=. ()()1sin 2sin 2sin 22sin cos 2sin cos 2A B C A B A B C C ++=+-+=⇒()()12sin cos cos 2C A B A B --+=⎡⎤⎣⎦， 即14sin sin sin 2A B C =，得1sin sin sin 8A B C =，又[]2211sin 2sin sin sin 1,222244ABCc abc R S ab C ab R A B C R R ==⋅===∈△， 故248R，得R ⎡∈⎣.所以338sin sin sin abc R A B C R ⎡==∈⎣，知C ，D 均不正确.()38bc b c abc R +>= ，故A 正确.故选A.12.解析 设()()e21xg x x =-，()h x ax a =-，可转化成存在唯一的整数0x ，使得()()g x h x <．因为()()'e21xg x x =+，所以当12x <-时，()'0g x <，()g x 在1,2⎛⎫-∞- ⎪⎝⎭上单调递减；当12x >-时，()'0g x >，()g x 在1,2⎛⎫-+∞ ⎪⎝⎭上单调递增． 因为当0x =时，()01g =-，()01h a =->-，所以()()00g h <． 又因为存在唯一的整数0x ，使得()()g x h x <，所以()()()()1111g h g h ⎧⎪⎨--⎪⎩ ，即e 032ea ⎧⎪⎨--⎪⎩ ，解得32e a . 又因为1a <，所以312ea < ．故选D ．13. 解析 {}4,6,7,9,10U A = ，(){}{}{}4,6,7,9,101,3,5,7,97,9U A B == . 14. 解析 ()()2log 2f x x =+=()221log 22log 2x x += ()222log log x x +.令2log t x =∈R ，则2,y t t t =+∈R ，函数的最小值为14-.因此函数的最小值为14-.15. 解析 解法一：依题意，若圆22:1O x y +=上存在点N ，使得45OMN ∠=，如图所示.因为OMN OMN '∠∠ ，所以45OMN '∠ ，因此sin ON OMN OM ''∠=1OM得OM 2012x + ，解得011x - .所以0x 的取值范围是[]1,1-.y=e x解法二：在OMN △中，由45OMN ∠=，据正弦定理得sin 45sin ON OMONM=∠，即sin sin 45ONMOM ONM ∠==∠.又()0,135ONM ∠∈，所以0OM <，，解得011x - .所以的取值范围是[]1,1-.16. 解析 依题意，平面DEP 可能经过正方体的顶点是1A ，1B ，D .因为平面1A DE 与直线1BD 相交，平面1B DE 与直线1BD 相交.且1//BD 平面1C DE.。
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限时练(四)
(建议用时：40分钟)
1．集合M＝{x|lg x＞0}，N＝{x|x2≤4}，则M∩N＝________.
解析M＝{x|lg x＞0}＝{x|x＞1}，N＝{x|x2≤4}＝{x|－2≤x≤2}．答案{x|1＜x≤2}
2．设i为虚数单位，则复数3＋4i
i＝________.
解析依题意：3＋4i
i＝
(3＋4i)i
i2＝4－3i.
答案4－3i
3．若以连续抛掷两次骰子分别得到的点数m、n作为点P的坐标，则点P落在圆x2＋y2＝16内的概率为________．
解析∵试验发生的总事件数是6×6，
而点P落在圆x2＋y2＝16内包括(1,1)，(1,2)，(1,3)，(2,1)，(2,2)，(2,3)，(3,1)，
(3,2)共8种，由古典概型公式得到P＝
8
6×6
＝
2
9.
答案2 9
4．高三(1)班共有48人，学号依次为1,2,3，…，48，现用系统抽样的方法抽取一个容量为4的样本，已知学号5,29,41在样本中，那么还有一个同学的学号应为________．
解析根据系统抽样是“等距离”抽样的特点解题．将48人分成4组，每组12人，所以用系统抽样抽出的学生学号构成以12为公差的等差数列，所以还有一个学生的学号是17.
答案17
5．图1是某学生的数学考试成绩茎叶图，第1次到第14次的考试成绩依次记为A1，A2，…，A14.图2是统计茎叶图中成绩在一定范围内考试次数的一个算法流程图．那么算法流程图输出的结果是________．
解析 依据算法中的程序框图知其作用是统计茎叶图中数学考试成绩不低于90分的次数，由茎叶图易知共有10次，故输出的结果为10.
答案 10
6．若命题“∃x ∈R ，使得x 2＋(a －1)x ＋1≤0”为假命题，则实数a 的范围________．
解析 由题意：x 2＋(a －1)x ＋1＞0恒成立．
则对应方程x 2＋(a －1)x ＋1＝0无实数根．
则Δ＝(a －1)2－4＜0，即a 2－2a －3＜0，所以－1＜a ＜3. 答案 (－1,3)
7．已知向量a ＝(cos x ，sin x )，b ＝(2，2)，a·b ＝85，则cos ⎝ ⎛⎭
⎪⎫x －π4＝________.
解析 因为a·b ＝2cos x ＋2sin x ＝2cos ⎝ ⎛⎭⎪⎫x －π4＝85，所以cos ⎝ ⎛⎭⎪⎫x －π4＝45. 答案 45
8．设f (x )＝x 2－2x －4ln x ，则f ′(x )＞0的解集为________．
解析 f (x )定义域为(0，＋∞)，又由f ′(x )＝2x －2－4x ＝2(x －2)(x ＋1)x
＞0，解得－1＜x ＜0或x ＞2，所以f ′(x )＞0
的解集
(2，＋∞)．
答案 (2，＋∞)
9．在正项等比数列{a n }中，S n 是其前n 项和．若a 1＝1，a 2a 6＝8，则S 8＝________. 解析 因为{a n }是正项等比数列，所以a 2a 6＝a 24＝8⇒a 4＝22＝a 1q 3⇒q ＝
2，所以S 8＝1－(2)8
1－2＝15(2＋1)． 答案 15(2＋1)
10．已知a 、b 、c 是△ABC 的三边，且B ＝120°，则a 2＋ac ＋c 2－b 2＝________.
解析 利用余弦定理，再变形即得答案． 答案 0 11．当x ∈⎝ ⎛⎭⎪⎫0，π2时，函数y ＝sin x ＋3cos x 的值域为________． 解析 因为y ＝2sin ⎝ ⎛⎭⎪⎫x ＋π3，x ∈⎝ ⎛⎭⎪⎫0，π2⇒x ＋π3∈⎝ ⎛⎭⎪⎫π3，5π6⇒sin ⎝ ⎛⎭⎪⎫x ＋π3∈⎝ ⎛⎦⎥⎤12，1⇒y ∈(1,2]，所以值域为(1,2]．
答案 (1,2]
12. 曲线y ＝x x ＋2
在点(－1，－1)处的切线方程为________．
解析 y ′＝2(x ＋2)2，所以k ＝y ′|x ＝－1＝2，故切线方程为y ＝2x ＋1. 答案 y ＝2x ＋1
13．若双曲线x 2a 2－y 2
b 2＝1(a ＞0，b ＞0)与直线y ＝2x 有交点，则离心率e 的取值范围为________．
解析 如图所示，∵双曲线的渐近线方程为y ＝±b a x ，若双曲线x 2a 2－y 2b 2＝1(a ＞0，b ＞0)与直线y ＝2x 有交点，则应有b a ＞2，∴b 2
a 2＞4，c 2－a 2a 2＞4，解得e 2
＝c 2
a 2＞5，e ＞ 5.
答案 (5，＋∞)
14．设f (x )是定义在R 上的增函数，且对于任意的x 都有f (1－x )＋f (1＋x )＝0恒
成立．如果实数m 、n 满足不等式组⎩⎨⎧ m ＞3，f (m 2－6m ＋23)＋f (n 2－8n )＜0，
那么m 2＋n 2的取值范围是________．
解析 由f (1－x )＋f (1＋x )＝0得，f (n 2－8n )＝f [(n 2－8n －1)＋1]＝－f [1－(n 2－8n －1)]＝－f (－n 2＋8n ＋2)，所以f (m 2－6m ＋23)＜－f (n 2－8n )＝f (－n 2＋8n ＋2)，又f (x )是定义在R 上的增函数，所以m 2－6m ＋23＜－n 2＋8n ＋2，即为(m －3)2＋(n －4)2＜4，且m ＞3，所以(m ，n )在以(3,4)为圆心，半径为2的右半个圆内，当为点(3,2)时，m 2＋n 2＝13，圆心(3,4)到原点的距离为5，此时m 2＋n 2＝(5＋2)2＝49，所以m 2＋n 2的取值范围是(13,49)．
答案 (13,49)。