限时训练7
高考英语阅读理解专项限时训练7
高考英语阅读理解专项限时训练7第一节阅读下列短文，从每题所给的4个选项 (A、B、C和D) 中，选出最佳选项。
AI'm flying high today after hearing the news that Bamboo People is a top ten book on the Best Fiction for Young Adults 2011 list from the American Library Association. Here are the top ten titles with annotations (注解) by YALSA librarians:•Bacigalupi, Paolo. Ship Breaker. Little, Brown, and Co. Nailer is a light crew cleaner tearing up old hulks of ships, living day to day, until a rich girl and her gleaming ship run ashore in a storm on the beach and his life gets more dangerous.•Donnelley, Jennifer.Revolution. Random House Children's Books/Delacorte. Haunted by the death of her brother, Andi is taken to Paris by her separated father where an encounter with a mysterious diary may bring her back from the edge.•Marchetta, Melina. Finnikin of the Rock. Candlewick. Finnikin and his fellow exiles (流亡) from Lumatere wish to return to their cursed homeland. Finnikin must go on an epic journey with a dumb beginner named Evanjalin to return home.•Matson, Morgan. Amy and Roger’s Epic Detour. Simon & Schuster. Amy and Roger must both learn to deal with loss while on a road trip across the country which doesn't go as expected.•McBride, Lish. Hold Me Closer, Necromancer. Macmillan Children's Book Group/Henry Holt. When Sam discovers he is a necromancer (巫师) he must learn to control his power in order to defeat a powerful and corrupt opponent and save his friends.•Mulligan, Andy. Trash. David Fickling Books. Three garbage-picker boys find an item of great value to a corrupt politician on their rounds, setting off a tense hunt to see who will win.•Perkins, Mitali. Bamboo People. Chiko, a Burmese soldier and Tu Reh, a Kerenni refugee meet on opposite sides of war and each must learn what it means to be a man of his people.•Reinhardt, Dana. The Things a Brother Knows. Random House Children's Books/Wendy Lamb. Boaz is back and cheered as the hometown hero, but he is not at all the same. Can his younger brother Levi help him truly make his way home?•Saenz, Benjamin. Last Night I Sang to the Monster. Cinco Puntos Press, 2009. Weeks in therapy go by and 18-year-old Zach is still unable to remember the monstrous events that left him alone and haunted by nightmares.•Sedgwick, Marcus. Revolver. Roaring Brook Press. Sig is alone with his father’s body when the lawless man his father had managed to escape appears out of the icy wilderness1. Which of the following books may not be classified as a thriller one?A. RevolverB. Last Night I Sang to the MonsterC. RevolutionD. Bamboo People2. Which two books are published by the same publisher?A. Ship Breaker and Finnikin of the RockB. Revolution and Hold Me Closer, NecromancerC. The Things a Brother Knows and Last Night I Sang to the MonsterD. Revolution and The Things a Brother Knows3. From above, we can learn _______.A. The plot Hold me closer, Necromance is similar to Superman and SpidermanB. Bamboo people deals with two soldiers share joys and sorrows in the warC. The main themes of Revolution and Revolver are both about father and sonD. Trash is a book about a fierce conflict which occurs between police and gangs (黑帮)BMy Grandpa Forgets Who I AmA few days ago I visited my grandfather in hospital．Hehas Alzhemier's—a degenerative disease that usually startsslowly and gets worse over time．I thought I was prepared tosee him．I knew chances were slim that he'd actuallyrecognize me．He didn't．As a matter of fact，he had no idea that heeven had grandchildren．But he was excited that somebody came to visit him．I tried to explain to him who I was．But after he told me multiple times that he didn't have grandchildren, I gave up. And my heart broke into a million little pieces．I was tired of explaining things to him．So I just smiled．He smiled back．It's a genuine smile．Like a long time ago，when he'd take me by the hand and made this big world a little bit less scary for me．Now I have to take his hand．We sat in silence for a little while before he told me to call my grandma．This was the first time I had tried so hard to hold back tears．My grandma died four years ago and he didn't remember．He thought she was stuck on her way to pick him up．My grandpa used to be a strong，hard-working man．He was the person you turned to when you needed your car fixed，your tires changed or something heavy to be carried．Sadly，that man left this world a long time ago，and left behind a man that is lost and scared．I want to help him．I want to make him feel better．I want to tell him about his old life，and how great it was．So I sat with him and I held his hand，and every once in a while I told him how good he looked and how much I liked the color of his shirt and how it brought out the blue in his eyes．I told him that my grandma was on her way whenever he asked about her，and I made sure the glass in his hand was always filled with water．I can't take away his pain. I can't help him remember. I can't make the disease go away. All Ican do is hold on to the memories-hold on for both of us．4. When the author first saw her grandpa in hospital, ______ ．A. she gave up on himB. they were both excitedC. he didn't recognize herD. they talked about the past5. The author was close to tears because ______ ．A. grandma died about four years agoB. grandpa needed to be taken care ofC. grandma didn't make it to the hospitalD. grandpa believed grandma was still alive6. Which of the following best describe the author？______A. Tolerant and merciful．B. Considerate and patient．C. Warm-hearted and grateful．D. Strong-minded and generous．7. The author wrote this passage to ______ ．A. show pity towards her grandpaB. record memories of her grandpaC. express deep love for her grandpaD. call on further study on Alzheimer'sCOne day，gardeners might not just hear the buzz of bees among their flowers，but the whirr of robots，too．Scientists have managed to turn an unassuming drone (无人机) into a remote-controlled pollinator by attaching horse hairs coated with a special，sticky gel to its underbelly．Animal pollinators are needed for the reproduction of 90% of flowering plants and one third of human food crops. Chief among those are bees-but many bee populations in the United States have been in steep decline in recent decades．Thus，the decline of bees isn't just worrisome because it could disrupt ecosystems，but also because it could disrupt agriculture and economy．People have been trying to come up with replacement techniques，but none of them are especially effective yet．Scientists have thought about using drones，but they haven't figured out how to make free-flying robot insects that can rely on their own power source without being attached to a wire．"It's very tough work, " said senior author Eijiro Miyako，a chemist at the National Institute of Advanced Industrial Science and Technology．His particular contribution to the field involves a gel，one he'd considered a mistake 10 years before and stuck in a storage cabinet．When it was rediscovered a decade later，it hadn't dried up or degraded at all．"I was so surprised because it still had high viscosity. " Miyako said．The chemist noticed that when dropped，the gel absorbed an impressive amount of dust from the floor. Miyako realized this material could be very useful for picking up pollen. He and his colleagues chose a drone and attached horse hairs to its smooth surface to mimic a bee's fuzzy body．They coated those horse hairs in the gel，and then controlled the drones over lilies，where they would pick up the pollen from one flower and then deposit the pollen at another one，thus fertilizing it．The scientists looked at the hairs under a scanning electron microscope and counted up the pollen grains attached to the surface and found that the drones whose horse hairs had been coated with the gel had about 10 times more pollen than those that had not been coated with the gel．\Miyako does not think such drones would replace bees altogether，but could simply help bees with their pollinating duties．There's a lot of work to be done before that's a reality，however．Small drones will need to become more controllable and energy efficient，as well as smarter，with better GPS and artificial intelligence．8. What does the underlined word "viscosity" in Para.3 probably mean？A. Hardness．B. Stickiness．C. Flexibility．D. Purity．9. We can learn from the passage that ______．A. bees disrupt both agriculture and economyB. scientists have invented self-powered robot insectsC. bees in the United States are on the edge of extinctionD. Miyako found the special feature of the gel by chance10. A drone works best in picking up pollen when ______．A. its body is made like a bee'sB. its GPS works more efficientlyC. some flowers are coated with the gelD. horse hairs with the gel are attached to it11.According to Eijiro Miyako，the drones ______．A. are not yet ready for practical useB. may eventually replace bees in the futureC. are much more efficient than bee pollinatorsD. can provide a solution to economic depressionD"If I only had a little humility, I'd be perfect." the media giant Ted Turner supposedly said sometime in the 1990s．Why be modest？Aristotle said："All men by nature desire to know." Intellectual humility is a particular instance of humility, since you can be down-to-earth about most things but still ignore your mental limitations．Intellectual humility means recognizing that we don't know everything. Actually, it means we should acknowledge that we're probably biased in our belief about just how much we understand and seek out the sources of wisdom that we lack.The Internet and digital media have created the impression of limitless knowledge at our fingertips. But, by making us lazy，they have opened up a space that ignorance can fill．The psychologist Tania Lombrozo of the University of California explained how technology enhances our illusions (错觉) of wisdom．She argues that the way we access information is critical to our understanding - and the more easily we can recall an image, word or statement，the more likely we'll think we've successfully learned it，and so withdraw from effortful cognitive processing．Logical puzzles presented in an unfriendly font (字体) can encourage someone to make extra effort to solve them．Yet this approach runs counter to the nice designs of the apps and sites that populate our screens，where our brainprocesses information in a "smooth" way．What about all the information that presents online？Well，your capacity to learn from it depends on your attitudes．Intellectually humble people don't hide or ignore their weaknesses．In fact，they see them as sources of personal development，and use arguments as an opportunity to refine their views. People who are humble by nature tend to be more open-minded and quicker to resolve disputes, since they recognize that their own opinions might not be valid．At the other end of the scale lies intellectual arrogance．Such arrogance almost always originates from the egocentric bias—the tendency to overestimate their own virtue or importance，ignoring the role of chance or the influence of other people's actions on their lives. This is what makes these people credit success to themselves and failure to circumstance．From an evolutionary perspective，intellectual arrogance can also be seen as a way of achieving dominance through forcing one's view on others．Intellectually arrogant people hardly invest mental resources in discussion or working towards group consensus，thus making it hard for groups to work successfully．The Thrive Center for Human Development in California，which seeks to help young people tum into successful adults，is funding a series of major studies about intellectual humility．Their hypothesis is that humility，curiosity and openness are key to a fulfilling life．"Without humility，you are unable to learn. " Laszlo Bock，Google's Head of People Operations, notes．12. The passage is mainly about ______ ．A. the harm arrogance does to usB. the key elements to a fulfilling lifeC. the significance of intellectual humilityD. the way people access information online13. Technology enhances our illusions of wisdom because it ______．A. enables people to think criticallyB. offers too much unreliable informationC. allows easy access to abundant informationD. makes it hard for people to recall information14. According to Para 4, intellectually humble people ______．A. value others' opinions more than their ownB. use online information to better themselvesC. are unwilling to show their strengthsD. prefer to solve difficult problems15. The author will probably agree that ______．A. intellectual arrogance is the result of evolutionB. intellectually arrogant people often lack team spiritsC. successful people are often unaware of their limitationsD. circumstances don't favor intellectually arrogant people第二节根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
2013高考数学(理科)小题限时训练7
:()(0,1)x q f x a a a =>≠2012高考数学（理科）小题限时训练七15小题共75分，时量：45分钟，考试时间：2012年9月12日第6节 姓名 一、选择题（每题5分共40分）1．集合A={－1，0，1}，B={A x x y y ∈=,cos }，则A B=（ ） A. {0}B ． {1}C ．{0，1}D ．{－1，0，1}2．已知:p 不等式21x a +≤的解集为φ，是减函数，则p 是q 的（ ）A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要3．直线40222=+=++y x y x 截圆所得劣弧所对圆心角为 （ ）A ．6πB ．3πC ．2πD ．32π4．已知角a 的余弦线是单位长度的有向线段，那么角a 的终边在（ ）A ．x 轴上B ．y 轴上C ．直线y=x 上D ．直线y=-x 上5．若实数,x y 满足2222111,2x y x y+=+则有 （ ）A．最大值3+B．最小值3+C ．最大值6D ．最小值66．复数ii+1在复平面中所对应的点到原点的距离为 ( ) A ．21B ．1C ．22D ．27． 设非常值函数() ()f x x R ∈是一个偶函数，它的函数图像()y f x =关于直线2x =对称，则该函数是 （ ）A. 非周期函数B.周期为2的周期函数 C.D. 周期为2的周期函数 8．对任意正整数n ，定义n 的双阶乘!!n 如下： 当n 为偶数时，!!(2)(4)642n n n n =--∙∙（4）（3）（2）（1）当n 为奇数时，!!(2)(4)531n n n n =--∙∙现有四个命题：①(2011!!)(2010!!)2011!=， ②2010!!21005!=∙， ③2010!!个位数为0， ④2011!!个位数为5 其中正确的个数为( )A.1B.2C.3D.4二、填空题（每题5分共35分）9．若将右面的展开图恢复成正方体，则ABC ∠的度数为10．若()(12)(13)(,,1,1)mnf x x x m n N m n +=+++∈>>的展开 式中x 的系数为13，则展开式中2x 的系数是 。
高考语文一轮复习 45分钟选择题限时训练7
2013届高考语文一轮复习45分钟选择题限时训练（7）1．下列各句中加点的词语使用不恰当的一句是（）A．正像达尔文发现有机界的发展规律一样，马克思发现了人类历史的发展规律，即历来为纷繁芜杂的意识形态所掩盖着的一个简单事实。
B．一百年后的今天，黑人仍然蜷缩在美国社会的角落里，并且，意识到自己是故土家园中的流亡者。
今天我们在这里集会，就是要把这种骇人听闻的情况公之于众。
C．奥斯威辛集中营司令官罗道夫·费尔南德·霍斯在被处决前也写了回忆录，详细介绍了这里进行的集体大屠杀和用人体做的各种实验。
D．正是他第一次使现代无产阶级意识到自身的地位和需要，意识到自身解放的条件。
斗争是他的生命要素。
很少有人像他那样满腔热情、坚忍不拔和卓有成效地进行斗争。
2．下列各句中没有语病的一句是（）A．改革开放三十年的经验告诉我们:安定团结的政治局面是我国社会主义现代化建设得以顺利推进的保证，也是成败的关键。
B．权威人士强调：国内接连发生特大煤矿爆炸事件，各级各类主管部门必须加强防范意识，尽量防止此类事件不再发生。
C．清华学校请他作第一次的演讲，题目是《中国韵文里头所表现的情感》。
我很幸运有机会听到这一篇动人的演讲。
D．我并非没有未注意到，参加今天集会的人中，有些受尽苦难和折磨，有些刚刚走出狭小的牢房，有些惨遭疯狂的迫害和打击。
3．下列各项中，语句表达不得体的是（）A．让他一个人留在房间里还不到两分钟，当我们进去的时候，便发现他在安乐椅上安静的睡着了——但已经永远的睡着了。
B．如果美国忽视时间的迫切性和低估黑人的决心，那么，这对美国来说，将是致命伤。
自由和平等的爽朗天气如不到来，黑人义愤填膺的酷暑就不会过去。
C．我从小在乡里长大，没有受过良好的教育，嫁到你们家，辱没了你家的儿子。
得到您那么多的彩礼，却不能胜任您的差遣。
D．你的文稿，我已看了，写得非常不错，很有见地，也很新颖，也很有文采。
对其中不妥当的几处，我斗胆加以了斧正。
7-限时规范训练
7．语言表达简明、连贯、得体，准确、鲜明、生动1．参照下面的内容，用简明的文字叙说自己对父母威信的看法。
(50字以内)一位家长感慨：“唉，现在的孩子真不了起，知道的东西比我们还多，弄得我们这些做父母的常被他们瞧不起，更不要说什么威信了。
”答：________________________________________________________________________ ________________________________________________________________________答案知识爆炸，科学发展，父母在接受新事物新知识方面可能不及子女，这是社会进步使然，无损于父母的威信。
(或：家长的威信主要建立在社会、家庭的认可及他们的品行、能力等因素，并非由懂得多少来决定。
)2．根据文意排列下面句子的顺序，把正确句序的序号填入横线上。
有人说：世界上最难回答的问题往往是孩子提出的问题。
因为他们的问题是真正的心灵问题、哲学问题，_________________________________________________________________________________________________________________________________。
①哲学最终成了极少数对问题穷追不舍的人的专利②大人们往往回避问题，或只分析问题③于是，哲学思想便在这种环境中很快地夭折了④而孩子们的问题又往往把真理性问题一丝不挂地揪出来，让大人们很尴尬⑤而孩子们往往因为大人们没有给出答案而沮丧，放弃了对问题的追问答：____________________________________________________________________。
解析本题重点考查的是考生语言表达连贯的能力。
④句“而”相当于“而且”表并列，连接“他们的问题是真正的心灵问题、哲学问题”句。
2023年中考数学基础满分挑战训练四十分钟限时练习卷七含答案解析
40分钟限时练习（7）一．选择题（共8小题，满分24分，每小题3分）1．（3分）下列变形正确的是（ ）A．（﹣3a3）2＝﹣9a5B．2x2y﹣2xy2＝0C．―3ba÷2ab=―32a2D．（2x+y）（x﹣2y）＝2x2﹣2y2【分析】原式各项计算得到结果，即可作出判断．【解答】解：A、原式＝9a6，错误；B、原式不能合并，错误；C、原式=―32a2，正确；D、原式＝2x2﹣4xy+xy﹣2y2＝2x2﹣3xy﹣2y2，错误．故选：C．【点评】此题考查了分式的乘除法，合并同类项，幂的乘方与积的乘方，以及平方差公式，熟练掌握公式及运算法则是解本题的关键．2．（3分）如图所示的几何体由一个圆柱体和一个长方体组成，从上面看该几何体得到的平面图形是（ ）A．B．C．D．【分析】根据圆柱体和长方体的俯视图解答．【解答】解：圆柱体的俯视图是圆，长方体的俯视图是长方形，所以，组合图形为长方形内有一个圆的图形．故选：C．【点评】本题考查了画几何体的三视图；用到的知识点为：主视图，左视图与俯视图分别是从物体的正面，左面，上面看得到的图形．3．（3分）如果点P（﹣2，b）在直线y＝2x﹣l上，那么下列正确的是（ ）A．b的值为5B．点P关于y轴的对称点Q的坐标为（2，﹣5）C．点P到x轴的距离为2D．点P关于原点的对称点M的坐标为（5，2）【分析】根据点P（﹣2，b）在直线y＝2x﹣l上，可得点P的坐标为（﹣2，﹣5），再根据关于x、y轴对称的点的坐标、关于原点对称的点的坐标特征即可判断．【解答】解：∵点P（﹣2，b）在直线y＝2x﹣l上，∴当x＝﹣2时，b＝﹣5，所以A选项错误；∵点P坐标为（﹣2，﹣5），∴点P关于y轴的对称点Q的坐标为（2，﹣5），所以B选项正确；点P到x轴的距离为5，所以C选项错误；点P关于原点的对称点M的坐标为（2，5），所以D选项错误．故选：B．【点评】本题考查了一次函数图象上点的坐标特征、关于x、y轴对称的点的坐标、关于原点对称的点的坐标，解决本题的关键是掌握一次函数的性质．4．（3分）如图，直线l1∥l2，直线AD与l1，l2分别相交于点B，C，图中三个角∠α，∠β，∠γ之间的关系，下列式子中表述正确的是（ ）A．γ＝2α+βB．γ＝α+2βC．γ＝α+βD．γ＝α+β﹣180°【分析】根据平行线的性质得到∠ACE＝α，根据平角的定义得到∠CED＝180°﹣β，再根据三角形外角的性质即可求解．【解答】解：∵l1∥l2，∴∠ACE＝α，∵∠CED＝180°﹣β，∴α＝180°﹣β+γ，即γ＝α+β﹣180°．故选：D．【点评】本题考查了平行线的性质，三角形外角的性质，关键是得到∠ACE＝α，∠CED ＝180°﹣β．5．（3分）如图所示的图形，长方形纸片沿AE折叠后，点D与D′重合，且已知∠CED′＝50°．则∠AED是（ ）A．60°B．50°C．75°D．65°【分析】利用折叠的性质得到∠DEA与∠D′EA的关系，再利用角的和差关系及平角的定义求出∠DEA．【解答】解：∵△ED′A是△EDA折叠成的，∴∠DEA＝∠D′EA．∵∠DEA+∠D′EA+CED′＝180°．∴2∠DEA＝180°﹣50°＝130°．∴∠DEA＝65°．故选：D．【点评】本题主要考查了折叠的性质，掌握折叠后的两个图形全等及平角的定义是解决本题的关键．6．（3分）一次函数y＝x+1的图象如图所示，下列说法正确的是（ ）A．y的值随着x的增大而减小B．函数图象经过第二、三、四象限C．函数图象与y轴的交点坐标为（1，0）D．y＝x+1的图象可由y＝x的图象向上平移1个单位长度得到【分析】根据画出函数的图象性质、一次函数图象上点的坐标特征以及平移的规律进行判断即可．【解答】解：A、一次函数y＝x+1中，k＝1＞0，所以y随x的增大而增大，故错误；B、由图象可知，函数图象经过一、二、三象限，故错误；C、令x＝0，则y＝1，所以直线与y轴的交点为（0，1），故错误；D、根据平移的规律，把直线y＝x向上平移1个单位得到直线y＝x+1，故正确．故选：D．【点评】本题主要考查了一次函数的图象和性质，要掌握它的性质和平移的规律才能灵活解题．7．（3分）如图，在矩形ABCD中，AB＝3，AD＝4，点P在AD上，PE⊥AC于E，PF⊥BD于F，则PE+PF等于（ ）A．75B．125C．135D．145【分析】连接OP，过D作DM⊥AC于M，求出AC长，根据三角形的面积公式求出CM 的值，根据S△AOD＝S△APO+S△DPO代入求出PE+PF＝DM即可．【解答】解：连接OP，过D作DM⊥AC于M，∵四边形ABCD是矩形，∴AO＝OC=12AC，OD＝OB=12BD，AC＝BD，∠ADC＝90°∴OA＝OD，由勾股定理得：AC=32+42=5，∵S△ADC=12×3×4=12×5×DM，∴DM=12 5，∵S△AOD＝S△APO+S△DPO，∴12（AO×DM）=12（AO×PE）+12（DO×PF），即PE+PF＝DM=12 5，故选：B．【点评】本题考查了矩形的性质、三角形的面积公式、勾股定理的应用，关键是求出PE+PF ＝DM．8．（3分）如图，在⊙O中半径OC与弦AB垂直于点D，且AB＝16，OC＝10，则CD的长是（ ）A．2B．3C．4D．5【分析】根据垂径定理以及勾股定理即可求答案．【解答】解：连接OA，设CD＝x，∵OA＝OC＝10，∴OD＝10﹣x，∵OC⊥AB，∴由垂径定理可知：AB＝16，由勾股定理可知：102＝82+（10﹣x）2，∴x＝4，∴CD＝4，故选：C．【点评】本题考查垂径定理，解题的关键是熟练运用垂径定理以及勾股定理，本题属于基础题型．二．填空题（共8小题，满分32分，每小题4分）9．（4分）已知23的整数部分为a，小数部分为b，则a﹣b＝ 8―23 ．【分析】由4＜23＜5，可求出a＝4，b=23―4，再将a、b的值代入所求式子即可．【解答】解：∵16＜23＜25，∴4＜23＜5，∴a＝4，b=23―4，∴a﹣b＝4﹣（23―4）＝8―23．故答案为：8―23．【点评】本题考查估计无理数的大小；熟练掌握无理数的整数部分与小数部分的求法是解题的关键．10．（4分）当x ＝ ﹣4 时，分式x 2―162x ―8的值为0．【分析】根据分式的值为零的条件：分子等于0，且分母不等于0即可得出答案．【解答】解：根据题意得x 2﹣16＝0，2x ﹣8≠0，∴x ＝±4，x ≠4，∴x ＝﹣4，故答案为：﹣4．【点评】本题考查了分式的值为零的条件，掌握分式的值为零的条件：分子等于0，且分母不等于0是解题的关键．11．（4分）将4个数a 、b 、c 、d 排成2行、2列，两边各加一条竖直线记成|a b c d |，这个记号叫做2阶行列式．定义|a b c d |=ad ―bc ，若|x +1x ―11―x x +1|=6，则x ＝ ±2 ．【分析】理解题意，按新定义|a b c d |=ad ―bc ，将问题转化为方程．若|x +1x ―11―x x +1|=6，即（x +1）（x +1）﹣（x ﹣1）（1﹣x ）＝6，再解方程即可．【解答】解：由题意，得：（x +1）（x +1）﹣（x ﹣1）（1﹣x ）＝6，∴x 2+2x +1+x 2﹣2x +1＝6，∴2x 2+2＝6，∴x ＝±2．【点评】本题是考查接受新定义能力的题目，解答的关键是理解题意，将问题转化为解一元二次方程．12．（4分）M 是△ABC 的边BC 的中点，AN 平分∠BAC ，BN ⊥AN 于点N ，且AB ＝10，BC ＝15，MN ＝3，则△ABC 的周长等于 41 ．【分析】延长线段BN 交AC 于E ，易证△ABN ≌△AEN ，可得N 为BE 的中点；由已知M 是BC 的中点，可得MN 是△BCE 的中位线，由中位线定理可得CE 的长，根据AC ＝AE +CE 可得AC 的长，进而得出△ABC 的周长．【解答】解：延长线段BN 交AC 于E ．∵AN 平分∠BAC ，∴∠BAN ＝∠EAN ，又∵AN＝AN，∠ANB＝∠ANE＝90°，∴△ABN≌△AEN，∴AE＝AB＝10，BN＝NE，又∵M是△ABC的边BC的中点，∴CE＝2MN＝2×3＝6，∴△ABC的周长是AB+BC+AC＝10+15+10+6＝41．故答案为41．【点评】本题主要考查了中位线定理和全等三角形的判定及性质．解决本题的关键是作出辅助线，利用全等三角形得出线段相等，进而应用中位线定理解决问题．13．（4分）反比例函数y=k1x与正比例函数y＝k2x图象的一个交点为第三象限内一点（﹣2，m）．则不等式k1x＞k2x的解集为 x＜﹣2或0＜x＜2 ．【分析】根据函数的对称性可得另一个交点在第一象限，其坐标为（2，﹣m），再根据两个函数的交点坐标以及图象的性质得出答案．【解答】解：由两个函数的对称性可得，反比例函数y=k1x与正比例函数y＝k2x图象的另一个交点在第三象限，坐标为（2，﹣m），当反比例函数大于正比例函数值时，自变量x的取值范围为x＜﹣2或0＜x＜2，故答案为：x＜﹣2或0＜x＜2．【点评】本题考查一次函数与反比例函数的交点，理解正比例函数与反比例函数的性质是正确判断的前提．14．（4分）如图所示，正比例函数y＝k1x与反比例函数y=k2x的图象有一个交点（2，﹣1），则这两个函数图象的另一个交点坐标是 （﹣2，1） ．【分析】反比例函数的图象是中心对称图形，则与经过原点的直线的两个交点一定关于原点对称．【解答】解：由图象可知：直线y＝k1x经过原点与双曲线y=k2x相交于两点，又由于双曲线y=k2x与直线y＝mx均关于原点对称．则两点关于原点对称，一个交点的坐标为（2，﹣1），则另一个交点的坐标为（﹣2，1）．故答案为：（﹣2，1）．【点评】本题考查反比例函数图象的中心对称性，即两点关于原点对称．15．（4分）如图，点O为正八边形ABCDEFGH的中心，则∠ADB＝ 22.5 度．【分析】求出∠AOB＝45°，根据同弧所对的圆心角和圆周角的关系即可得到结论．【解答】解：如图，连接OA，OB，∵∠AOB=3608=45°，∴∠ADB=12∠AOB＝22.5°，故答案为：22.5．【点评】本题考查正多边形与圆，同弧所对的圆心角和圆周角的关系，解题的关键是掌握圆周角定理，学会添加常用辅助线．16．（4分）如图，正方形ABCD的边长为2，点E是AB边上一个动点，点F是CD边上一个动点，且AE＝CF，过点B作BG⊥EF于点G，连接AG，则AG长的最小值是 10 2―22 ．【分析】设正方形的中心为O ，可证EF 经过O 点．连接OB ，取OB 中点M ，连接MA ，MG ，则MA ，MG 为定长，利用两点之间线段最短解决问题即可．【解答】解：设正方形的中心为O ，可证EF 经过O 点．连接OB ，取OB 中点M ，连接 MA ，MG ，则MA ，MG 为定长，过点M 作MH ⊥AB于H ．则MH ＝BH =12，AH =32，由勾股定理可得MA =102，MG =12OB =22，∵AG ≥AM ﹣MG =102―22，当A ，M ，G 三点共线时，AG 最小=102―22，故答案为：102―22．【点评】本题主要考查了正方形的性质，解直角三角形，直角三角形斜边中线的性质等知识，解题的关键是求出AM ，MG 的值．三．解答题（共4小题，满分44分）17．（10分）（1）―83×254÷765；（2）(3―1×27+24―623)×12―(32―6)2．【分析】（1）先根据二次根式的乘法和除法法则运算，然后化简即可；（2）先根据负整数指数幂的意义计算，再把二次根式化为最简二次根式，然后根据二次根式的乘法法则和完全平方公式计算．【解答】解：（1）原式=―13×2×17×8×54×56=―221×2×3×2×5=―410 7；（2）原式＝（13×33+26―26）×23―（18﹣123+6）=3×23―24+123＝6﹣24+123＝123―18．【点评】本题考查了二次根式的混合运算，熟练掌握二次根式的性质、二次根式的乘法和除法法则和负整数指数幂是解决问题的关键．18．（10分）解方程：（1）10x=3x+7；（2）1x+3―23―x=12x2―9．【分析】（1）通过去分母、去括号、移项、x的系数化为1解分式方程．（2）先对分式方程的分母进行因式分解，确定最简公分母，再通过去分母、去括号、移项、合并同类项、x的系数化为1解这个分式方程．【解答】解：（1）10x=3x+7，两边同乘x（x+7），得10（x+7）＝3x．去括号，得10x+70＝3x．移项，得7x＝﹣70．x的系数化为1，得x＝﹣10．当x＝﹣10时，x（x+7）≠0．∴这个分式方程的解为x＝﹣10．（2）∵1x+3―23―x=12x2―9，∴1x+3―23―x=12(x+3)(x―3)．方程两边同乘（x+3）（x﹣3），得x﹣3+2（x+3）＝12．去括号，得x﹣3+2x+6＝12．移项，得x+2x＝12﹣6+3．合并同类项，得3x＝9．x的系数化为1，得x＝3．当x＝3时，（x+3）（x﹣3）＝0．∴x＝3是这个分式方程的增根．∴这个分式方程无解．【点评】本题主要考查解分式方程，熟练掌握解分式方程的方法是解决本题的关键．19．（12分）疫情期间，学生居家学习，考虑学生们的健康成长，A市教育局依据国家“五项管理”和“双减政策”，提出了“每天锻炼一小时，健康生活一辈子”活动口号．为了解A市九年级学生参加体育锻炼的情况，随机抽查了A市部分九年级学生半个月参加体育锻炼（每天锻炼时间超过1小时）的天数，并用得到的数据绘制了两幅不完整的统计图（如图），请根据图中提供的信息，回答下列问题：（1）a＝ 10 ．并写出该扇形所对圆心角的度数为 36 °．请补全条形图．（2）在这次抽样调查中，众数和中位数分别是多少？（3）如果A市共有九年级学生4000人，请你估计半个月来A市九年级学生“活动时间不少于6天”的学生人数大约有多少人？【分析】（1）根据各部分所占的百分比的和等于1列式计算即可求出a，用360°乘a即可得出其扇形的圆心角度数；然后用被抽查的学生人数乘以8天所占百分比求出8天的人数，补全条形统计图即可；（2）用众数和中位数的定义解答；（3）用总人数乘以“活动时间不少于6天”的百分比，计算即可得解．【解答】解：（1）a%＝1﹣（40%+20%+25%+5%）＝1﹣90%＝10%，故a＝10，该扇形所对圆心角的度数为：360°×10%＝36°；被抽查的学生人数：240÷40%＝600人，8天的人数：600×10%＝60人，补全统计图如图所示：故答案为：10；36；（2）参加社会实践活动5天的人数最多，所以，众数是5天，600人中，按照参加社会实践活动的天数从少到多排列，第300人和301人都是6天，所以，中位数是6天；（3）4000×（20%+25%+10%+5%）＝2400（人）．故“活动时间不少于6天”的学生人数大约有2400人．【点评】本题考查的是条形统计图和扇形统计图的综合运用，读懂统计图，从不同的统计图中得到必要的信息是解决问题的关键．条形统计图能清楚地表示出每个项目的数据；扇形统计图直接反映部分占总体的百分比大小．20．（12分）如图所示，已知AC＝AE，AB＝AD，∠1＝∠2，（I）试证明：∠B＝∠D；（2）若∠1＝90°时，直线BC、DE的位置怎样？【分析】（1）先证∠EAD＝∠CAB，再利用SAS证明△EAD≌△CAB，根据全等三角形对应角相等即可；（2）由（1）结论△EAD≌△CAB得∠B＝∠D，再由∠B+∠BGA＝90°，根据等量代换得∠D+∠DGH＝90°，故可判断DE⊥BC．【解答】（1）证明：∵∠1＝∠2，∴∠EAD＝∠CAB，在△EAD和△CAB中，AC=AE，∠EAD=∠CAB，AB=AD∴△EAD≌△CAB（SAS），∴∠B＝∠D．（2）解：直线BC、DE相互垂直．理由如下：由（1）可知△EAD≌△CAB，∴∠B＝∠D，∵∠1＝∠2＝90°，∴∠B+∠BGA＝90°，∴∠CGB+∠D＝90°，∴∠BHD＝90°，∴BC与DE相互垂直．【点评】本题主要考查三角形全等的判定和性质．利用SAS找对应的相等边和角是关键．。
高考英语一轮复习限时阅读训练7
2019届高考英语一轮复习限时阅读训练7AA woman from Japan was telling a friend about her trip to the United States. The woman had visited major businesses and investment companies in New York City and Chicago.“I studied English before I left home，” she said. “But I still was not sure that people were speaking English.”Her problem is easy to understand. Americans in business are like people who are in business anywhere. They have a language of their own. Some of the words and expressions deal with the special areas of their work. Other expressions are borrowed from different kinds of work such as the theater and movie industry.One such saying is “get your act together”.When things go wrong in a business，an employer may get angry. He may shout，“Stop making mistakes. Get your act together.Or，if the employer is calmer，he may say，“Let us get our act together.” Either way，the meaning is the same. Getting your act together is getting organized. In business，it usually means to develop a calm and orderly plan of action.It is difficult to tell exactly where the saying began. But，it is probable that it was in the theater or movie industry. Perhaps one of the actors was nervous and made a lot of mistakes. The director may have said，“Calm down，now. Get your act together.”Word expert James Rogers says the expression was common by the late 1970s. Mister Rogers says the Manchester Guardian newspaper used it in 1978. The newspaper said a reform policy required that the British government get its act together.Now，this expression is heard often when officials of a company meet. One company even called its yearly report，“Getting Our Act Together.”The Japanese visitor was confused by another expression used by American business people. It is “cut to the chase”.She heard that expression when she attended an important meeting of one company. One official was giving a very long report. It was not very interesting. In fact，some people at the meeting were falling asleep.Finally，the president of the company said，“Cut to the chase.”Cut to the chase means to stop spending so much time on details or unimportant material. Hurry and get to the good part.Naturally，this saying was started by people who make movies. Hollywood movie producers believe that most Americans want to see action movies. Many of their movies show scenes in which the actors chase each other in cars，or in airplanes or on foot。
2022一轮浙江通用技术选考练习：必修1 第7章 模型或原型的制作 课后限时训练7 Word版含答案
课后限时训练(七)一、选择题1.如图所示是某同学锯割的工件，锯割发生歪斜，下列状况中会造成锯缝歪斜的是()A.锯条磨损B.锯程短C.起锯时没有用拇指拦住锯条D.锯割时施压方向不正确D[本题考查锯割操作。
从图中可以看出，锯缝上部正常，下部弯曲偏移，这可能是锯割时向下施压不正导致的，因此D项正确；A项可能导致锯不动材料，B项可能导致锯条中部磨损严峻，与A项同理，C项可能导致锯割起点偏离锯缝线，因此A、B、C项均不会导致题干所述问题，A、B、C项错误。
]2.如图所示的操作，以下描述正确的是()A.用丝锥攻丝B.用丝锥打孔C.用样冲冲眼D.用样冲打孔C[本题考查金工操作。
图示为用锤子和样冲在材料表面冲眼，C项正确。
]3.下列操作要领中，说法不正确的是()A.在金属上划线时，划针要紧贴导向工具，且与划线表面垂直B.锯割时，一般可以从工件的远离自己一端起锯C.攻内螺纹时，要确保丝锥中心线与孔中心重合，防止将螺纹攻歪D.锉削时，锉屑堵塞锉刀后应用钢丝刷顺着锉纹方向刷去A[本题考查金工操作要领。
A项前后冲突，划针“与划线表面垂直”就不能“紧贴导向工具”，正确做法是使划针外倾并向划线方向倾斜，使针尖紧贴导向工具，因此A项符合题意。
]4.如图所示是一个马形开瓶器，材质为钢铁，为便于悬挂和携带，小明在开瓶器上钻了一个直径为12 mm的通孔，在对这个孔进行锉削时，以下锉刀合适的是()A.平锉B.半圆锉C.圆锉D.方锉C[本题考查金工工具的选择。
圆孔内表面锉削应选用圆锉，C项正确。
]5.如图所示为小木床和护栏的示意图，护栏两端分别装有转动轴和限位锁，护栏通过连接件安装到床上。
要把该连接件安装到小木床上，合理的标准件与安装工具是()A B C DA.螺栓与羊角锤B.膨胀螺栓与羊角锤C.自攻螺钉与螺丝刀D.紧定螺钉与螺丝刀C[本题考查连接件的选择。
自攻螺钉可用于木材固定连接，配以螺丝刀拧动，因此C项正确；螺栓与羊角锤不能配套使用，因此A项错误；膨胀螺栓常用于水泥墙面的连接，因此B 项错误；紧定螺钉常用于金属零件的连接，因此D项错误。
高中物理精品试题：高二物理限时训练(7)
凤鸣高中高二物理限时训练（7)第I 卷（选择题）一、单选题1．城市进入高楼时代后，高空坠物已成为危害极大的社会安全问题。
图为一则安全警示广告，非常形象地描述了高空坠物对人伤害的严重性。
小明同学用下面的实例来检验广告词的科学性：设一个50 g 鸡蛋从25楼的窗户自由落下，与地面的碰撞时间约为3210s -⨯，已知相邻楼层的高度差约为3 m ，则该鸡蛋对地面产生的冲击力约为（ ）A ．10 NB ．102NC ．103ND ．104 N2．2017年4月20日19时41分，中国文昌航天发射场，我国目前发射的体积最大、重量最重的航天器天舟一号货运飞船乘坐长征七号运载火箭升上太空，进行我国空间站货物运输系统的首次飞行试验。
假设长征七号运载火箭搭载着卫星以速率v 0进入太空预定位置，由控制系统使箭体与天舟一号货运飞船分离。
已知前部分的天舟一号货运飞船质量为m 1，后部分的箭体质量为m 2，分离后箭体以速率v 2沿火箭原方向飞行，若忽略空气阻力及分离前后系统质量的变化，则分离后天舟一号货运飞船的速率v 1为（ ）A ．v 0－v 2B ．v 0＋v 2C ．v 0－21m m v 2D ．v 0＋21m m (v 0－v 2) 3．在光滑水平地面上放置一辆小车，车上放置有木盆，在车与木盆以共同的速度向右运动时，有雨滴以极小的速度竖直落入木盆中而不溅出，如图所示，则在雨滴落入木盆的过程中，小车速度将（ ）A ．保持不变B ．变大C ．变小D ．不能确定4．以下说法正确的是（ ）A ．单摆的周期公式是由伽利略研究并确定的B ．根据多普勒效应可知：当观察者与波源相互靠近时，接收到频率会变小C ．托马斯·杨利用光的双缝干涉实验，有力的证明了光是一种波D ．物体做受迫振动达到稳定后，物体振动的频率等于物体的固有频率5．如图甲所示， 弹簧振子以 O 点为平衡位置， 在AB 、两点之间做简谐运动，取A 到 B 为正方向，振子的位移 x 随 时间 t 的变化如图C 所示，下列说法正确的是（ ）A ．0.2s t = 时， 振子在 O 点右侧 6cm 处B ．0.4s t = 和 1.2s t = 时，振子的加速度完全相同C ．0.8s t = 时， 振子的速度方向为负方向D ．0.4s t = 到 0.8s t = 的时间内， 振子的速度逐渐减小6．某波源S 发出一列简谐横波，波源S 的振动图像如图所示。
2013届高三数学考点限时训练7
0.01频率组距2013届高三数学考点大扫描限时训练0071. 复数13i z =+，21i z =-，则复数12z z 在复平面内对应的点位于第_______象限． 2. 一个靶子上有10个同心圆，半径依次为1、2、……、10，击中由内至外的区域的成绩依次为10、9、……、1环，则不考虑技术因素，射击一次,在有成绩的情况下成绩为10环的概率为 .3. 某校从参加高一年级期末考试的学生中抽出60名学生，将其成绩（是不小于40不大于100的整数）分成六段[)50,40，[)60,50…[]100,90后：（1）求第四小组的频率，并补全这个画出如下部分频率分布直方图.(2) 观察频率分布直方图图形的信息，估计这次考试的及格率（60分及以上为及格）和平均分．4. 在ABC ∆中，c ,b ,a 分别是角A 、B 、C 的对边，,a (n ),C cos ,c b (m =-=→→2)A cos ，且→→n //m ．（1）求角A 的大小； （2）求)23cos(sin 22B B y -+=π的值域．参考答案：1. 第一象限；2. 0.01；3. （1）因为各组的频率和等于1,故第四组的频率：41(0.0250.01520.010.005)100.3f =-+⨯++⨯=……3′直方图如右所示…………………………… 6′ （2）依题意，60及以上的分数所在的第三、四、五、六组， 频率和为(0.0150.030.0250.005)100.75+++⨯=所以，抽样学生成绩的合格率是75%.…………………… 9 ′利用组中值估算抽样学生的平均分123456455565758595f f f f f f ⋅+⋅+⋅+⋅+⋅+⋅ ＝450.1550.15650.15750.3850.25950.05⨯+⨯+⨯+⨯+⨯+⨯＝71，估计这次考试的平均分是71分……………………………………………………… 12′ 4.（1）由→→n//m 得0cos cos )2(=-⋅-C a A c b ………………………………………………………4′由正弦定理得0cos sin cos sin cos sin 2=--C A A C A B ，∴0)sin(cos sin 2=+-C A A B ， ∴0sin cos sin 2=-B A B ……………………… 6′()3,21cos ,0sin ,0,ππ=∴=≠∴∈A A B B A ………………………………………… 8′ （2）B B B y 2sin 3sin2cos 3cossin 2ππ++=，=B B 2sin 232cos 211+-………… 10′ =1)62sin(+-πB ………………………………………………………12′由（1）得67626320ππππ<-<-∴<<B B ， ⎥⎦⎤ ⎝⎛-∈-∴1,21)62sin(πB ⎥⎦⎤⎝⎛∈∴2,21y …………………………………………15′。
高三语文一轮复习基础限时训练 病句辨析系列7
语文一轮复习基础限时训练：病句辨析系列7限时训练时间：40分钟1．下列各句中，没有语病的一句是（3分）（）A．由于连日暴风雨，使荷兰海岸出现大批流离失所的海豹孤儿。
它们如果继续暴露在外，几乎难逃死亡的命运。
幸好当地的志愿者们建立起了海豹孤儿院。
B．过去氢化植物油被广泛用做植脂末的原料。
但越来越多的证据表明氢化植物油中的反式脂肪酸对于人体没有任何积极作用反而会增多心血管等疾病的风险。
C．活性炭组成成分主要是木炭、各种果壳和优质煤等配置而成，通过物理和化学方法对原料进行破碎、过筛、催化剂活化、漂洗、烘干和筛选等工序加工制造而成。
D．国务院安全生产会办公室提出要求，各地要建立健全校车安全管理法律法规体系和安全管理制度，明确校车优先通行权利，加强校车监管，保障校车安全。
【答案】D【解析】A项，成分残缺，去掉“由于”或“使”；B项，搭配不当，将“增多”改为“增加”；C项，句式杂糅，去掉“配置而成”。
2．下列各句中，没有语病的一句是（3分）（）A．新落成的大连金石滩生命奥秘博物馆是一座集人体、脊椎动物、海洋动物塑化标本收藏、科研、展示为一体的综合性博物馆。
B．今日《人民文学》杂志走进北京大学，就“当代汉语写作的世界性意义”问题，邀请该校许多著名作家、学者发表了各自的观点。
C．这场以“税收宣传与税收处罚哪个更能增强公众的纳税意识”为辩题的辩论，旨在通过辩论引起纳税人更多地关注税收话题。
D．当用秀美风光大赚特赚的商业冲动不断膨胀，风景名胜的公益性特征正渐行渐远，已成为不少国人“看不起的风景”和“不再享有的权利”。
【答案】C【解析】A、并列不当；B、句式杂糅；D、主宾搭配不当。
3．下列各句中，没有语病的一项是（3分）（）A．5月30日发生的冰心、吴文藻墓碑的涂碑事件系其嫡孙吴山所为，此事吸引了国内诸多媒体的极大关注，大家纷纷指责吴山的破坏行为。
B．中国是一个发展中国家，虽然面临诸多数不清的困难，但一直对外提供力所能及的援助。
第7讲带电粒子在电场磁场中的运动(限时训练)
高三物理限时规范训练（七）带电粒子在电场磁场中的运动(时间：60分钟 满分：100分)姓名 成绩 一、选择题(本题共9个小题，每小题6分，共54分，在每小题给出的四个选项中，第1～5题只有一个选项符合要求，第6～9题有多项符合要求．)1．(2013·高考安徽卷)图中a 、b 、c 、d 为四根与纸面垂直的长直导线，其横截面位于正方形的四个顶点上，导线中通有大小相同的电流，方向如图所示．一带正电的粒子从正方形中心O 点沿垂直于纸面的方向向外运动，它所受洛伦兹力的方向是( )A ．向上B ．向下C ．向左D ．向右2．(2013·高考上海卷)两异种点电荷电场中的部分等势面如图所示，已知A 点电势高于B 点电势．若位于a 、b 处点电荷的电荷量大小分别为q a 和q b ，则( )A ．a 处为正电荷，q a <q bB ．a 处为正电荷，q a >q bC ．a 处为负电荷，q a <q bD ．a 处为负电荷，q a >q b3．(2014·渭南质检)一带正电的粒子在电场中做直线运动的v －t 图象如图所示，t 1、t 2时刻分别经过M 、N 两点，己知运动过程中粒子仅受电场力作用，则下列判断正确的是( )A ．该电场可能是由某正点电荷形成的B ．M 点的电势高于N 点的电势C ．从M 点到N 点的过程中，电势能逐渐增大D ．带电粒子在M 点所受电场力大于在N 点所受电场力 4．美国物理学家密立根通过研究平行板间悬浮不动的带电油滴，比较准确地测定了电子的电荷量．如图，平行板电容器两极板M 、N 相距d ，两极板分别与电压为U 的恒定电源两极连接，极板M 带正电．现有一质量为m 的带电油滴在极板中央处于静止状态，且此时极板带电荷量与油滴带电荷量的比值为k ，则( )A ．油滴带正电B ．油滴带电荷量为mgUdC ．电容器的电容为kmgdU 2D ．将极板N 向下缓慢移动一小段距离，油滴将向上运动5．(2014·湖北省荆门市调考)空间存在垂直于纸面方向的均匀磁场，其方向随时间做周期性变化，磁感应强度B 随时间t 变化的图象如图所示．规定B ＞0时，磁场的方向穿出纸面．一电荷量q ＝5π×10－7C 、质量m ＝5×10－10kg 的带电粒子，位于某点O 处，在t ＝0时以初速度v 0＝π m/s 沿某方向开始运动．不计重力的作用，不计磁场的变化可能产生的一切其他影响．则在磁场变化N 个(N 为整数)周期的时间内带电粒子的平均速度的大小等于()A ．π m/sB.π2m/s C ．2 2 m/s D ．2 m/s6．(2014·苏北四市三调)如图所示，在竖直向下的匀强磁场中有两根竖直放置的平行粗糙导轨CD 、EF ，导轨上放有一金属棒MN .现从t ＝0时刻起，给棒通以图示方向的电流且电流强度与时间成正比，即I ＝kt ，其中k 为常数，金属棒与导轨始终垂直且接触良好．下列关于棒的速度v 、加速度a 随时间t 变化的关系图象，可能正确的是()7．(2014·湖南省六校联考)如图，一个由绝缘材料做成的圆环水平放置，O 为圆心，一带电小珠P 穿在圆环上，可沿圆环无摩擦的滑动．在圆环所在的水平面内有两个点电荷Q 1、Q 2分别位于A 、B 两点，A 点位于圆环内、B 点位于圆环外，O 、A 、B 三点位于同一直线上．现给小珠P 一初速度，P 沿圆环做匀速圆周运动．则以下判断正确的是( )A ．Q 1与Q 2为异种电荷B ．对于由Q 1、Q 2产生的电场，在圆环上电势处处相等C ．对于由Q 1、Q 2产生的电场，在圆环上电场强度处处相等D ．小珠P 运动过程中对圆环的弹力大小处处相等8．(2013·高考天津卷)两个带等量正电的点电荷，固定在图中P 、Q 两点，MN 为PQ 连线的中垂线，交PQ 于O 点，A 为MN 上的一点．一带负电的试探电荷q ，从A 点由静止释放，只在静电力作用下运动，取无限远处的电势为零，则()A ．q 由A 向O 的运动是匀加速直线运动B ．q 由A 向O 运动的过程电势能逐渐减小C ．q 运动到O 点时的动能最大D ．q 运动到O 点时电势能为零9. (2014·江西省景德镇高三二检)如图所示，以直角三角形AOC 为边界的有界匀强磁场区域，磁感应强度为B ，∠A ＝60°，AO ＝a .在O 点放置一个粒子源，可以向各个方向发射某种带负电粒子，粒子的比荷为q /m ，发射速度大小都为v 0，且满足v 0＝qBam，发射方向由图中的角度θ表示．对于粒子进入磁场后的运动(不计重力作用)，下列说法正确的是( ) A ．粒子有可能打到A 点B ．以θ＝60°飞入的粒子在磁场中运动的时间最短C ．以θ<30°飞入的粒子在磁场中运动的时间都相等D ．在AC 边界上只有一半区域有粒子射出二、计算题(本题共3个小题，共46分，解答时应写出必要的文字说明、方程式和演算步骤，有数值计算的要注明单位)10．(15分)(2013·高考安徽卷)如图所示的平面直角坐标系xOy ，在第Ⅰ象限内有平行于y 轴的匀强电场，方向沿y 轴正方向；在第Ⅳ象限的正三角形abc 区域内有匀强磁场，方向垂直于xOy 平面向里，正三角形边长为L ，且ab 边与y 轴平行．一质量为m 、电荷量为q 的粒子，从y 轴上的P (0，h )点，以大小为v 0的速度沿x 轴正方向射入电场，通过电场后从x 轴上的a (2h ，0)点进入第Ⅳ象限，又经过磁场从y 轴上的某点进入第Ⅲ象限，且速度与y 轴负方向成45°角，不计粒子所受的重力．求： (1)电场强度E 的大小；(2)粒子到达a 点时速度的大小和方向； (3)abc 区域内磁场的磁感应强度B 的最小值．11．(15分)如图所示，在两条平行的虚线内存在着宽度为L 、场强为E 的匀强电场，在与右侧虚线相距也为L 处有一与电场平行的屏．现有一电荷量为＋q 、质量为m 的带电粒子(重力不计)，以垂直于电场线方向的初速度v 0射入电场中，v 0方向的延长线与屏的交点为O .试求： (1)粒子从射入到打到屏上所用的时间；(2)粒子刚射出电场时的速度方向与初速度方向间夹角的正切值tan α： (3)粒子打到屏上的点P 到O 点的距离x .12．(16分)(2014·河南郑州市模拟)如图所示，中轴线PQ 将矩形区域MNDC 分成上下两部分，上部分充满垂直于纸面向外的匀强磁场，下部分充满垂直于纸面向内的匀强磁场，磁感应强度皆为B .一质量为m ，带电量为q 的带正电粒子从P 点进入磁场，速度与边MC 的夹角θ＝30°.MC 边长为a ，MN 边长为8a ，不计粒子重力．求： (1)若要该粒子不从MN 边射出磁场，其速度最大值是多少？(2)若要该粒子恰从Q 点射出磁场，其在磁场中的运行时间最短是多少？。
2011-2012学年度高三英语限时训练7
2011-2012学年度高三英语限时训练7I.完型填空：（共30分，每空2分）I was 16 when I walked into McCarley’s Bookstore in Ashland. As I was looking at title on the shelves, the man behind the counter, the shop owner, asked if I’d like 1 . I need to start 2 for college, so I said yes. I worked after school for the lowest pay, and the job helped pay for my freshman year of college. I would work many other jobs: I 3 coffee in the Student Union during college, I was a hotel helper and 4 made maps for the U.S. Forest Service.Y ears later, as a 5 in Los Angeles, I heard about an immigrant (移民) child who was born with his fingers 6 , web-like(网状).His family could not afford a corrective operation, and the boy lived in 7 , 8 his hand his hand his pocket .I 9 my boss to let me do the story. After my story was carried, a doctor and a nurse called, offering to perform the operation for 10 .I visited the boy in the 11 room after the operation. The first thing he did was hold up his repaired hand and say, “Thank you.” I felt a sense of 12 .In the past, 13 I was at McCarle y’s Bookstore, I always sensed I was working for the customers, not the store. Today it’s 14 . NBC News pays me salary, 15 I feel as if I work for viewers, helping them make sense of the world.( ) 1．A．a story B. a book C. a job D. a present( ) 2. A. saving B. begging C. paying D. calling( ) 3. A. tried B. offered C. made D. did( ) 4. A. so B. yet C. even D.still( ) 5. A. A TV reporter B. store keeper C. book seller D. writer( ) 6. A. wounded B. connected C. broken D. tied( ) 7. A. shame B. anger C. sorrow D. fear( ) 8. A. leaving B. putting C. hiding D. protecting( ) 9. A. attempted B. persuaded C. permitted D. asked( ) 10. A. certain B. good C. short D. free( ) 11.A. waiting B. recovery C. meeting D. operation( ) 12.A. pleasure B. interest C. wonder D. surprise( ) 13.A. even if B. while C. now that D. because( ) 14. A. usual B. strange C. common D. the same( ) 15. A. and B. so C. but D. thenII．语法填空The word “pub” is the short form for “ public house” in Great Britain. It31 (suppose) to be the Englishmen’s favourite meeting place,32 they can get together with friends over a pin of beer and talk about football, horse racing 33 business. Pubs are usually open from 11 a.m. to midnight.You may notice that the pub is the Englishmen’s meeting place. It is not quite respectable for 34 woman to go into a pub alone. She must have a man go with 35 . Perhaps that’s partly the reason 36 pubs depress me---they are intended 37 (main) to provide for make interests.Most Englishmen have 38 favourite local, where they can escape 39 thepressures of family life or work, and if they are lucky, they can tell their troubles to a pretty bar-girl. Indeed many men dream of retiring from their 9 to 5 jobs and 40 (buy) a little country pub, where they imagine they will be the host of a seven night a week party.III．阅渎理解（共15小题；每小题2分，共30分。
阅读限时训练7
限时训练7完形填空When Glen Kruger picked a small cat from an animal shelter, he did not expect much. Yet right from the start, eight years ago, there was an uncommon connection between him and the small black cat. He 36 her Inky.“ I grew up on a hundred-acre farm and had only cats 37 playmate s,” Kruger, The seventy-year-old man, says. “My hearing was damaged by the 38 of farm equipment , so I learned to connect with 39 . They react to what they see and what you do. ”Inky was a gentle cat, 40 the house with five other cats. But on a January night in 2009, Inky did 41 that would set her apart from 42 cats forever.Kruger had gone down to the basement to 43 the wood stove for the night. When he was finished, he 44 to the top of the stairs and reached to turn off the lights. In doing so , he slipped and 45 his back against an old shelf. The heavy shelf came crashing down and sent Kruger down the stairs.46 in a pool of blood on the basement floor, Kruger felt 47 going into shock（休克）. He shouted for help , 48 his wife, Brenda , was asleep in their bedroom at the opposite end of the house. 49 Kruger noticed Inky watching from the top of the stairs.“Go get Brenda, ” Krugger said to Inky.Inky 50 to the bedroom door and scratched 51 until Brenda opened it. Then Inky led her to the 52 Brenda found her husband 53 the stairs and called 911. Kruger was rushed to the hospital. “I spent six months54 there,” Says kruger . “Although I be ca me lame , I was blessed. ” Since the acci dent, Inky has 55Left Krhger’s side.36. A. gave B. chose C. named D. remembered37. A. like B. as C. except D. among38. A. sound B. alarm C. noise D. voice39. A. animals B. friends C. farmers D. neighbors40. A. sharing B. visiting C. dividing D. discovering41. A. anything B. nothing C. something D. everything42. A. familiar B. lovely C. ordinary D. outstanding 43. A. shut out B. shut off C. shut down D. shut up44. A. marched B. flew C. struggled D. climbed45. A. bent B. hit C. shook D. pulled46. A. Falling B. Lying C. Appearing D. Thinking47. A. it B. itself C. him D. himself48. A. and B. but C. or D. so49. A. Thus B. Otherwise C. Then D. Rather50. A. walked B. ran C. returned D. withdrew51. A. rapidly B. suddenly C. madly D. urgently52. A. bedroom B. basement C yard D. house53. A. at the bottom of B. in the middle of C. at the top of D. in the front of54. A. regretting B. resting C. relaxing D. recovering55. A. never B. ever C. still D. already阅读理解You may think that sailing is a difficult sport, but it is really not hard to learn it. You do not need to be strong. But you need to be quick. And you need to understand a few basic rules about the wind.First, you must ask yourself, “Where is the wind coming from? Is it coming from ahead or behind or from the side?” You must think about this all the time on the boat. The wind direction tells you what to do with the sail.Let’s start with the wind blowing from the behind. This means the wind and the boat are going in the same direction. Then you must always keep the sail outside the boat. It should be at a 90° angle (角度) to the boat. Then it will catch the wind best.If the wind is blowing from the side, it is blowing across the boat. In this case, you must keep the sail half way outside the boat. It should be at a 45° angle to the boat. It needs to be out far enough to catch the wind, but it shouldn’t flap (摆动). It shouldn’t look like on a flagpole. If it is flapping, it is probably out too far, and the boat will slow down.Sailing into the wind is not possible. If you try, the sail will flap and the boat will stop. You may want to go in that direction. It is possible, but you can’t go in a straight line. You must go first in one direction and then in another. This is called tacking. When you are tacking, you must always keep the sail inside the boat.65. What should you consider first while sailing?A. Sailors’ strength.B. Wave levels.C. Wind directions.D. Size of sails.66. What does the word “It” underlined in Paragraph 4 re fer to?A. The boat.B. The wind.C. The sail.D. The angle.67. What do you have to do when sailing against the wind?A. Move in a straight line.B. Allow the sail to flap.C. Lower the sail.D. Tack the boat.68. Where can you probably find the text?A. In a popular magazine.B. In a tourist guidebook.C. In a physics textbook.D. In an official report.阅读表达[1] People today, in all this new world of technology and thinking, have lost sight of what a true friendship is. So, though I own my best friend Jenny, I thought I would help the world out a little and explain what real, true friends are.[2] Friends don’t have to be exactly the same. They have similarities but __________________. The key to opening up the world of friendship is not only to expand on similarities but to accept each other’s faults, because you can’t ever judge your friend.[3] Friends have to argue! Because if you agree on everything, either the government has expanded cloning subjects or someone isn’t being true and is trying a little too hard.[4] You have to be comfortable together. Otherwise, you just aren’t going to click. I f you feel uneasy around the person then something isn’t quite right.[5] Friends love unconditionally. They have their little angry moments but what’s done is done and all is forgiven and forgotten. Why let something that happened in the past ruin the happiness you could have in the future?[6] Believe in love at first sight because there is the same thing happening in friendship. Some people think that you have to know someone really well to become good friends. Trust me, it’s not true.[7] These are only a few of the basics. Just remember, friends are forever. But only if you keep it that way. Don’t disrespect your friends, love them instead.76. What is the best title of the passage? (no more than 6 words)___________________________________________________________________ 77. Which sentence in the passage is the closest in meaning to the following one?Make up with your friends after the quarrels and don’t let the sadness last long.______________________________________________________________________ 78. Please fill in the blank in Paragraph 2 with proper words or phrases to complete thesentence. (no more than 8 words)____________________________________________________________________79. Please list three of the writer’s viewpoints on friendship. (no more than 10 words)①______________________②_______________________③________________________80. Translate the underlined sentence in Paragraph 6 into Chinese._____________________________________________________________________完型CBCAA CCBDB BDBCB CBADACCDA76. True Friends / Friendship/What Is Friendship77. They have their little angry moments but what’s done is done and all is forgiven andforgotten.78. they also have their differences79. ① Accept differences ② Argue ③ Love unconditionally ④ Believe in love at first sight （写出任意三项即可）80. 相信恋爱中的一见钟情吧，因为友情也是如此。
2020高考生物人教版一轮复习练习：第7讲限时规范训练7ATP与酶含解析
限时规范训练7ATP与酶【基础题组】1．ATP是细胞的能量“通货”，下列有关说法正确的是()A．ATP的合成一定需要酶，酶的催化作用都需要ATP供能B．ATP在细胞中彻底水解后可为DNA复制提供原料C．人体成熟红细胞中ATP的产生速率在有氧、无氧条件下大致相等D．放能反应一般与ATP水解的反应相联系解析：选C。
酶的催化作用不一定需要ATP供能，如消化酶的催化作用，A项错误；ATP中含有核糖，在细胞中彻底水解后可为RNA复制提供原料，B项错误；人体成熟红细胞没有线粒体，通过无氧呼吸供能，ATP的产生速率与氧气浓度无关，在有氧、无氧条件下大致相等，C项正确；放能反应一般与ATP合成的反应相联系，D 项错误。
2．ATP又称为细胞中的“能量通货”，下列关于ATP的叙述正确的是()A．ATP的形成一定伴随着有机物的分解B．ATP参与的反应一定发生于细胞内部C．消耗ATP的物质运输一定是主动转运D．细胞呼吸的每个阶段一定能产生ATP解析：选B。
光合作用中的光反应有ATP的形成，能量来源是光能，不是有机物的分解，A错误；ATP是细胞内的能量载体，只存在于细胞中，所以ATP参与的反应一定发生于细胞内部，B正确；物质运输中，主动运输和胞吞、胞吐都需消耗ATP，C错误；细胞呼吸包括需氧呼吸和厌氧呼吸，需氧呼吸三个阶段都能产生ATP，厌氧呼吸只有第一阶段产生ATP，D错误。
3．用蛋白酶去除大肠杆菌核糖体的蛋白质，处理后的核糖体仍可催化氨基酸的脱水缩合反应，由此可推测核糖体中能催化该反应的物质是()A．蛋白质B．mRNAC．tRNA D．rRNA解析：选D。
核糖体由蛋白质和核糖体RNA(rRNA)组成，用蛋白酶处理核糖体之后，蛋白质已经被水解，但仍具有催化功能，说明发挥作用的物质是rRNA。
4．(2018·广东深圳第一次调考)细胞的新陈代谢能够在温和条件下有序地进行离不开酶，下列有关酶的说法错误的是()A．加热和酶都能加快H2O2分解的速率，但作用机理不同B．酶遇双缩脲试剂呈紫色C．酶通过形成酶—底物复合物来催化化学反应D．高温、强酸、强碱都会导致蛋白酶的空间结构改变而失活解析：选B。
江苏省扬中市第二高级中学2013届高三数学复习限时训练(1-7)
高三数学复习限时训练（01）1、 设集合{}R x x x x A ∈+≤-=,112)2(2，则集合*⋂N A 中有 个元素。
2、若()35cos =+απ且⎪⎭⎫⎝⎛∈ππα，2，则()απ-2sin =__________ 3、已知正项等比数列{}n a 的前n 项和为n S ，若137a S =，则等比数列{}n a 的公比等于_____4、 已知函数2()f x x x =-，若2(1)(2)f m f --<，则实数m 的取值范围是 ．5、 已知直线1l ：32+=x y ，直线2l 与直线1l 关于直线x y -=对称，则直线2l 的斜率为_______6、 已知函数xbe ax x f +=)(图象上在点)2,1(-P 处的切线与直线x y 3-=平行，则函数)(x f 的解析式为_____7、 已知等差数列{}n a 的前n 项和为()21,n S a n a =++某三角形三边之比为234::a a a ，则该三角形最大角为 ____8、 已知直线0132=+++y x 与圆032-22=-+x y x 交于N M ,两点，则弦MN 的垂直平分线方程为__________9、 在锐角ABC ∆中，角A 、B 、C 的对边分别为a 、b 、c ，且满足(2)cos cos a c B b C -=． （1）求角B 的大小；（2）设(sin ,1),(3,cos2)m A n A ==，试m n ⋅ 求的取值范围．限时训练（01）参考答案1.72. 23-3.24. (1,1)-5. 0.56. 12.50.5x y x e +=--7. 1208. 3x-2y-3=09．（1）60B = ， （2）17(2,]8高三数学复习限时训练（02）1、若复数2(3)(,()z a a i a R =--∈2007=2、若双曲线12222=-by a x 的两个焦点到一条准线的距离之比为3：2,则双曲线的离心率是___________3、已知点A 、B 、C 3=4=5=，则⋅+⋅+⋅的值是____.4、ABC ∆的三内角A ，B ，C 所对边长分别是c b a ,,，设向量),sin ,(C b a +=)sin sin ,3(A B c a -+=，若n m //，则角B 的大小为_____________5、已知：}2|1||{<-=x x A ，}11|{+<<-=m x x B ,若B x ∈成立的一个充分不必要条件是A x ∈ ，则实数m 的取值范围6、过点()0,4-作直线l 与圆0204222=--++y x y x 交于A 、B 两点，若AB=8，则直线l 的方程为______7、已知||1a = ，||2b = ，()a a b ⊥+，则a 与b 夹角的度数为 .8、若]2,0[πθ∈，且54sin =θ，则2tan θ= 9、已知向量a = (1，1)，向量b 与向量a 的夹角为34π，且a ·b = －1.（1）求向量b ；（2）若向量b 与q =（1，0）的夹角为2π，向量p =2(cos ,2cos )2CA ，其中A ，C 为△ABC 的内角，且A + C =23π，求|b + p |的最小值.限时训练（02）参考答案12、53、 25-4、π655、),2(+∞ 6.、 020125=++y x 或4-=x7、23π 8、21 9、（1）b =(－1,0)或b =(－1,0).；（2）22高三数学复习限时训练（03）1、函数x x y 22-=的定义域为{}3,2,1,0，那么其值域为_____2、设复数1212,()z i z x i x =-=+∈R ，若12z z ⋅为实数，则x = ．3、已知{}n a 为等差数列，且74321,0a a a -=-=,则公差d ＝4、有四个游戏盘，将它们水平放稳后，在上面扔一颗玻璃小球，若小球落在阴影部分，则可中奖，小明要想增加中奖机会，应选择的游戏盘的序号5、设命题014,::22>++∈∀<cx x R x q c c p 对和命题，若p 和q 有且仅有一个成立，则实数c 的取值范围是 6、1tan 2a =，则sin cos a a = 7、过定点P (1,2)的直线在x y 轴与轴正半轴上的截距分别为a b 、,则422a b +的最小值为 .8、设等比数列{}n a 中，前n 项和为n S ,已知38S =，67S =,则789a a a ++= .9、已知函数()ln f x x ax =-()a ∈R . (Ⅰ) 求函数()f x 的单调区间；(Ⅱ) 当a >0时，求函数()f x 在[1,2]上最小值.限时训练（03）参考答案1. {}0,1,3-2. 21-3. －124. （1）5. 121021<≤≤<-c c 或6. 527. 32 8.819． (Ⅰ) 1()f x a x '=-(0x >),①当a ≤ 0时，1()f x a x'=->0， 故函数()f x 增函数，即函数()f x 的单调增区间为(0,)+∞． ②当0a >时，令1()0f x a x '=-=，可得1x a=, 当10x a <<时，1()0ax f x x -'=>；当1x a>时，1()0ax f x x -'=<， 故函数()f x 的单调递增区间为1(0,]a,单调减区间是1[,)a +∞.(Ⅱ)①当11a≤,即1a ≥时,函数()f x 在区间[1,2]上是减函数,∴()f x 的最小值是(2)ln 22f a =-.②当12a ≥，即12a ≤时，函数()f x 在区间[1,2]上是增函数， ∴()f x 的最小值是(1)f a =-.③当112a <<，即112a <<时，函数()f x 在1[1,]a 上是增函数，在1[,2]a是减函数． 又(2)(1)ln 2f f a -=-，∴当1ln 22a <<时,最小值是(1)f a =-；当ln 21a ≤<时,最小值为(2)ln 22f a =-.综上可知,当0ln 2a <<时, 函数()f x 的最小值是min ()f x a =；当l n2a ≥时，函数()f x 的最小值是min ()ln 2f x =.高三数学复习限时训练（04）1、=︒+︒-︒570sin 2135cos 315sin 。
青州二中2014届考前文综地理限时训练7
青州二中2014届考前文综地理限时训练7 地铁是城市轨道交通系统中最主要组成部分，要求必须是大众运输系统;必须位于城市之内;必须以电力驱动；必须行驶于轨道之上；班次必须相对密集。
成都地铁始建于2005年，1号线（动物园——天府广场——世纪广场）、2号线（茶店子汽车客运站——天府广场——柳树林）已建成，至2020年通车里程将达371公里，加上市域快线网，届时每日客运量由2013年的750万人次增加到1800万人次。
据此回答1～3题。
1. 关于成都地铁建成的影响，说法正确的是A. 极大改善了四川省交通运输的紧张状况B. 加重了成都市区内交通环境污染C. 将减少成都现有的私家车数量，交通拥堵现象得以彻底解决D. 带动沿线地区的房地产价格上涨2. 应用地理信息系统进行城市地铁规划时，优先考虑的图是①城市地下排水管分布图②城市道路分布图③城市商业网点分布图④城市行政区划图A．①② B．③④ C．②③ D．①④3. 关于成都地铁线路的叙述，正确的是A. 成都北站以北地铁线路稀疏的最主要原因是地形起伏大B. 首选建设1号线主要是因为它经过城市中心地区，客流量极大C. 2号线、4号线（图中虚线所示）将极大缓解天府广场、春熙路、火车北站地区交通拥堵状况D. 换乘站应与其它交通运输方式的站点相距较远，避免交通拥堵集约农业是在一定面积的土地上投入较多的生产资料和劳动，通过应用先进的农业技术措施来增加农业品产量的农业，目的是从单位面积的土地上获得更多的农产品，不断提高土地生产率和劳动生产率。
右图反映了欧洲在20世纪20—30年代农业集约化情况，数值越大表明程度越高。
欧洲大部分地区由西向东因西风影响程度不同导致降水不同，由南向北因纬度不同导致热量不同。
据此回答4～6题。
4. 图中等值线如此分布的主要原因是A. 饮食习惯B. 工业化水平C. 气候条件D. 耕地数量5. 乳畜业分布密度最大的区域应该是图中数码所示地区。
A. ①B. ②C. ③D. ④6. ⑤地区如若种植小麦，相对于图中小麦产区，最大的劣势在于A. 地形条件B. 水源条件C. 热量条件D. 技术条件读本世纪初四个国家人口年龄构成统计图，回答7～9题。
高考数学客观题限时训练习题及参考答案(十一套)
高考数学客观题限时训练习题（十一套）高考数学客观题限时训练一班级 姓名 学号 记分1、已知集合{}{}|12,|35A x a x a B x x =-≤≤+=<<，则能使A B ⊇成立的实数a 的取值范围是（ ）A ．{}|34a a <≤B ．{}|34a a <<C ．{}|34a a ≤≤D ．∅ 2、等比数列{}n a 中，0n a >且21431,9a a a a =-=-，则45a a +等于（ ） A ．16 B ．27 C ．36 D ．27- 3、不等式2103x x -≤的解集为（ ）A ．{|2x x ≤≤ B ．{}|25x x -≤≤ C ．{}|25x x ≤≤ D ．{}5x x ≤ 4、曲线24y x =关于直线2x =对称的曲线方程是（ ）A ．2164y x =-B ．284y x =-C ．248y x =-D ．2416y x =-5、已知()321233y x bx b x =++++是R 上的单调增函数，则b 的范围（ ）A ．1b <-或2b >B ．1b ≤-或2b ≥C ．12b -<<D ．12b -≤≤6、直线l 是双曲线()222210,0x y a b a b-=>>的右准线，以原点为圆心且过双曲线的焦点的圆被直线l 分成弧长为21∶的两段圆弧，则该双曲线的离心率是（ ）A B C D7、空间四点A B C D 、、、，若直线,,AB CD AC BD AD BC ⊥⊥⊥同时成立，则A B C D 、、、四点的位置关系是（ ）A ．一定共面B ．一定不共面C ．不一定共面D ．这样的四点不存在8、()f x 是定义在R 上的奇函数，它的最小正周期为T ，则2T f ⎛⎫- ⎪⎝⎭的值为（ ）A ．0B ．2TC ．TD ．2T-9、已知实数x y 、满足22326x y +=，则2x y +的最大值为（ ） A ．4 BC． D10、函数222x y e -=的图象大致是（ ）选择题答案栏11、直线20x y m ++=按向量()1,2a =--平移后与圆22:240C x y x y ++-=相切，则实数m 的值为____________.12、在()()10211x x x ++-的展开式中，4x 项的系数是_______________.13、12名同学分别到三个不同的路口进行车流量的调查，若每个路口4人，则不同的分配方案共有____________14、函数()f x =是奇函数的充要条件是____________ABCD15、260100x y x x y +-≤⎧⎪+≥⎨⎪-≤⎩,z mx y =+取得最大值的最优解有无数个，则m 等于16、在下列四个命题中，①函数2cos sin y x x =+的最小值是1-。
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x 2 4 x 3, x 0 2 1. 已知函数 f ( x) 2 ， 则不等式 f (a 4) f (3a) 的 x 2 x 3, x 0
解集为______________________ 2. 若 f ( x) 是 R 上周期为 5 的奇函数， 且满足 f (1) 1, f (2) 2 ， 则 f (3)
2 a ,求 的值. 3 b
14. 设等比数列 an 的前 n 项和为 S n ，已知 a2 6 ， 6a1 a3 30 . （1） 求 an ； （2） 求 S n .
-1-
6. 已知 a 1, 2 , 2a b (3,1) ，则 a b __________________________ 7. 若等比数列 an 满足 a2 a4 20, a3 a5 40 ，则公比 q ________ 8. 若 x y 0, a 0, ay 0 ，则 x y _______________0（用不等号）
：叶建友） 一、填空题（55 分，每题 5 分）
9. 若实数 x, y 满足 xy 1 ，则 x 2 2 y 2 的最小值为_________________ 10. 在 ABC 中，若 a 2 b2 2c2 ，则 cos C 的最小值为_____________ 11. 已知底面边长为 1， 侧棱长为 2 的正四棱柱的各顶点均在一个球面上， 则该球的表面积为__________________ 二、解答题（45 分，每题 15 分） 12. 如图在四棱锥 P ABCD 中，底面 ABCD 为平行 四边形， ADC 45 ， AD AC 1 , O 为 AC 的中点， PO 平面 ABCD , PO 2 , M 为 PD 的 中点. (1) 证明： PB∥平面 ACM ; (2) 证明： AD 平面 PAC . 13. 在 ABC 中，已知 sin A sin B sin B sin C cos 2B 1 （1） 证明 a, b, c 成等差数列； （2） 若 C
f (4) ___________________
3. 函数 f ( x) 2 x 1 的单调增区间为___________________ 4. 若函数 f ( x) 既是幂函数又是二次函数，则 f ( x) 的解析式为_________
5 5. 已知 tan 3 ，则 tan ______________________ 6 6