肇庆市2012-2013学年第二学期统一检测小题统计报表_文科

2013年珠海一模,茂名一模,肇庆一模,揭阳一模文科数学试卷及答案(纯word版)

珠海市2013学年度第一学期期末学生学业质量监测（一模）高三文科数学试题一、选择题：本大题共10小题，每小题5分，满分50分．在每小题给出的四个选项中，只有一项是符合题目要求的．请在答题卡上填涂相应选项. 1．已知集合),1(+∞-=M ，集合{}0)2(|≤+=x x x N ，则N M ⋂=A ．]2,0[B ． ),0(+∞C ． ]0,1(-D ． )0,1(-2．已知a ，b 是实数，则“⎩⎨⎧>>32b a ”是“5>+b a ”的A ．充分不必要条件B ．必要不充分条件C ．充分必要条件D ．既不充分也不必要条件3．若某程序框图如图所示，则该程序运行后输出的值是 A ．4 B ．5 C ．6 D ．74. 已知直线l ，m 和平面α，则下列命题正确的是 A ．若l ∥m ，m ⊂α，则l ∥α B ．若l ∥α，m ⊂α，则l ∥m C ．若l ⊥m ，l ⊥α，则m ∥α D ．若l ⊥α，m ⊂α，则l ⊥m 5．已知是虚数单位，复数ii+3＝A ．i 103101+ B ．i 103101+- C ．i 8381+- D ．i 8381-- 6．函数y ＝sin (2x ＋π4)的图象可由函数y ＝sin 2x 的图象A ．向左平移π8个单位长度而得到 B ．向右平移π8个单位长度而得到 C ．向左平移π4个单位长度而得到 D ．向右平移π4个单位长度而得到7．已知a 、b 均为单位向量,)2()2(b a b a -⋅+=233-，a 与b 的夹角为A ．30°B ．45°C ．135°D ．150°(第3题图)8．在递增等比数列{a n }中，4,2342=-=a a a ，则公比q ＝ A ．-1 B ．1 C ．2 D ．219．若实数x ，y 满足不等式组⎪⎩⎪⎨⎧≤≥+≥+-3005x y x y x 则2x ＋4y 的最小值是A ．6B ．4C ．2-D ．6-10．对于直角坐标平面内的任意两点11(,)A x y 、22(,)B x y ，定义它们之间的一种“距离”： ‖AB ‖=1212x x y y -+-，给出下列三个命题：①若点C 在线段AB 上，则‖AC ‖+‖CB ‖=‖AB ‖；②在△ABC 中，若∠C =90°，则‖AC ‖+‖CB ‖=‖AB ‖；③在△ABC 中，‖AC ‖+‖CB ‖>‖AB ‖. 其中真命题的个数为A. 0B. 1C. 2D.3二、填空题：本大题共5小题，每小题5分，满分20分．其中14～15题是选做题，考生只能选做一题，两题全答的，只计算前一题得分．请将答案填在答题卡相应位置. （一）必做题（11-13题）11．某学校三个社团的人员分布如下表（每名同学只参加一个社团）：学校要对这三个社团的活动效果进行抽样调查，按分层抽样的方法从社团成员中抽取30人，结果合唱社被抽出12人，则这三个社团人数共有_______________.12．在△ABC 中，内角A ，B ，C 的对边分别为a ，b ，c ，已知C ＝3π，3=b ，若△ABC 的面积为233 ，则c = ．13．如图，F 1，F 2是双曲线C ：22221x y ab-=(a ＞0，b ＞0)的左、右焦点，过F 1的直线与C 的左、右两支分别交于A ，B 两点．若 | AB | : | BF 2 | : | AF 2 |＝3 : 4 : 5，则双曲线的离心率为 .xy OA BF 1F 2(第13题图)(第15题图）（二）选做题（14-15题，考生只能从中选做一题）14．（坐标系与参数方程选做题）在直角坐标系x O y 中，已知曲线1C ：⎩⎨⎧-=+=t y t x 212 , (为参数）与曲线2C ：⎩⎨⎧==θθsin 3cos 3y x ,（θ为参数）相交于两个点A 、B ，则线段AB 的长为 .15．（几何证明选讲选做题）如图，PAB 、PCD 为⊙O 的两条割线，若PA=5，AB=7，CD=11，AC=2，则BD 等于 .三、解答题：本大题共6小题，满分80分．解答须写出文字说明、证明过程和演算步骤． 16．（本小题满分12分）设向量a ＝)sin ,2(θ，b ＝)cos ,1(θ，θ为锐角．（1）若a ·b ＝136，求sin θ＋cos θ的值；（2）若a ∥b ，求sin(2θ＋π3)的值．17．（本小题满分12分）某种零件按质量标准分为5,4,3,2,1五个等级.现从一批该零件中随机抽取20个，对其等级进行统计分析，得到频率分布表如下：（1）在抽取的20个零件中，等级为5的恰有2个，求n m ,；（2）在（1）的条件下，从等级为3和5的所有零件中，任意抽取2个，求抽取的2个零件等级恰好相同的概率.18．（本小题满分14分）已知某几何体的直观图和三视图如下图所示，其正视图为矩形，侧视图为等腰直角三角形，俯视图为直角梯形，（1）求证：N B C BC 11//平面；（2）求证：BN 11C B N ⊥平面；（3）求此几何体的体积.19．(本题满分14分)已知椭圆C ：)0(12222>>=+b a bya x ，左、右两个焦点分别为1F 、2F ，上顶点),0(b A ，21F AF ∆为正三角形且周长为6.（1）求椭圆C 的标准方程及离心率；（2）O 为坐标原点，直线A F 1上有一动点P ，求||||2PO PF +的最小值． 20．（本题满分14分）已知函数()ln a x f x x x-=+，其中a 为常数，且0>a .（1）若曲线()y f x =在点（1，(1)f ）处的切线与直线121+=x y 垂直，求a 的值；（2）若函数()f x 在区间[1，2]上的最小值为21，求a 的值.21.（本题满分14分）在数列{}n a 中，*)(1,111N n a a a a n n n ∈+==+.（1）求证：数列⎭⎬⎫⎩⎨⎧n a 1是等差数列，并求数列{}n a 的通项公式；（2）设nnn a b ⋅=21，求数列}{n b 的前n 项和n T ；（3）设∑=+++=201312121i i i a a P ，求不超过P 的最大整数的值.主视图侧视图俯视图4珠海市2012~2013学年第一学期普通高中学生学业质量监测高三文科数学试题参考答案及评分标准一、选择题：CABDA AACDB二、填空题：11、150 12、713、1314、 4 15、 6三、解答题：本大题共6小题，满分80分．16．（本小题满分14分）解：（1）因为a·b＝2＋sinθcosθ＝136，所以sinθcosθ＝16．………………3分所以(sinθ＋cosθ)2＝1＋2 sinθcosθ＝4 3．又因为θ为锐角，所以sinθ＋cosθ＝233．………………6分（2）解法一因为a∥b，所以tanθ＝2．………………8分所以sin2θ＝2 sinθcosθ＝2 sinθcosθsin2θ＋cos2θ＝2 tanθtan2θ＋1＝45cos2θ＝cos2θ－sin2θ＝cos2θ－sin2θsin2θ＋cos2θ＝1－tan2θtan2θ＋1＝－35．………………10分所以sin(2θ＋π3)＝12sin2θ＋32cos2θ＝12×45＋32×(－35)＝4－3310．………………12分解法二因为a∥b，所以tanθ＝2．………………8分所以sinθ＝255，cosθ＝55．因此sin2θ＝2 sinθcosθ＝45，cos2θ＝cos2θ－sin2θ＝－35．………………10分所以sin(2θ＋π3)＝12sin2θ＋32cos2θ＝12×45＋32×(－35)＝4－3310．………………12分17．（本小题满分12分）某种零件按质量标准分为5,4,3,2,1五个等级.现从一批该零件中随机抽取20个，对其等级进行统计分析，得到频率分布表如下：MB 1C 1NCBA（Ⅰ）在抽取的20个零件中，等级为5的恰有2个，求n m ,；（Ⅱ）在（Ⅰ）的条件下，从等级为3和5的所有零件中，任意抽取2个，求抽取的2个零件等级恰好相同的概率.参考答案：（Ⅰ）解：由频率分布表得 0.050.150.351m n ++++=，即 0.45m n +=. ………………2分由抽取的20个零件中，等级为5的恰有2个，得 1.0202==n . ………………4分所以0.450.10.35m =-=. ………………5分（Ⅱ）解：由（Ⅰ）得，等级为3的零件有3个，记作123,,x x x ；等级为5的零件有2个，记作12,y y .从12312,,,,x x x y y 中任意抽取2个零件，所有可能的结果为：12131112232122313212(,),(,),(,),(,),(,),(,),(,),(,),(,),(,)x x x x x y x y x x x y x y x y x y y y共计10种. ………………9分记事件A 为“从零件12312,,,,x x x y y 中任取2件，其等级相等”.则A 包含的基本事件为12132312(,),(,),(,),(,)x x x x x x y y 共4个. ………………11分故所求概率为 4()0.410P A ==.………………12分18.解：（1）证明：该几何体的正视图为矩形，侧视图为等腰直角三角形，俯视图为直角梯形，∴1,,BB BC BA 两两互相垂直。

广东省肇庆市2012届高三上学期期末考试文科综合试题

肇庆市中小学教学质量评估2011－2012学年第一学期统一检测题高三文科综合本试卷共10页，41小题，满分300分。

考试用时150分钟。

注意事项：1.答卷前，考生务必用黑色字迹的签字笔或钢笔将自己的姓名、考号填写在答题卡上。

2.选择题每小题选出答案后，用2B铅笔把答题卡上对应题目的答案信息点涂黑，如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试卷上。

3.非选择题必须用黑色字迹的签字笔或钢笔作答，答案必须写在答题卡上各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液。

不按以上要求作答的答案无效。

4.考生必须保持答题卡的整洁。

考试结束后，将试卷和答题卡一并交回。

一、选择题：本大题共35小题，每小题4分。

共140分。

在每小题列出的四个选项中，只有一项是符合题目要求的。

1．我国2010年与2000年人口普查相比，东部地区的人口比重在上升，而西部地区的人口比重下降幅度最大。

其原因是A．东部地区人口出生率高B．西部地区人口出生率低C．东部地区人口迁入率高D．西部地区人口自然增长率最低2．冰川在移动过程中对地表形态的塑造，其表现形式有A．侵蚀—搬运作用B．搬运—堆积作用C．风化—侵蚀作用D．沉积—固结成岩作用下图为“北京市降水量与日照时数统计图”，其中日照时数主要与昼夜长短、天气状况、海拔等因素有关。

读下图，回答3～4题。

3．北京市2008年降水量与多年平均值相比A．4、5月降水偏多，有效缓解旱情B．7月降水少，因受低气压控制C．9月降水多，有利于春小麦的播种D．全年降水量小，属于偏旱年份4．图中5～6月日照时数变化的原因可能是A．昼变长夜变短B．降水量的增大C．沙尘暴次数少D．海拔影响读下图“某特大城市某干道市区郊区双向车速变化曲线图”，完成5～6题。

5．图中a、b两曲线A．a曲线反映8-10时汽车流量较小，道路畅通B．a曲线反映由郊外住宅区向市中心工作区的车速变化C．b曲线反映以上班、上学活动为主的车速变化D．a、b曲线反映城市道路交通流量的突变性6．集合各监测站的车流信息，合理规划城市道路，最好利用A．遥感技术B．卫星导航系统C．全球定位系统D．地理信息系统7．毛泽东《沁园春•雪》的部分词句描写与其地理要素对应正确的是A．千里冰封，万里雪飘——地形B．大河上下，顿失滔滔——水文C．山舞银蛇，原驰蜡象，欲与天公试比高——大气D．须晴日，看红装素裹，分外妖娆——生物全球变暖是当今世界面临的重大环境问题之一。

肇庆市中小学教学质量评估2013—2014学年高一第二学期统一检测英语试题

肇庆市中小学教学质量评估2013-2014学年第二学期统一检测试题高一英语I语言知识运用（共两节，满分45分）第一节完型填空（共15小题，每小题2分，共30分）Even though it was only October, my students were already whispering about Christmas plans. With each passing day everyone became more __1__, waiting for the final school bell. Upon its ___2__everyone would run for their coats and go home, everyone except DavidDavid was a small boy in ragged clothes. I had often ___3__what kind of home life David had, and what kind of mother could send her son to school dressed so__4__ for the cold winter months, without a coat, boots, or gloves. But something made David __5__. I can still remember he was always wearing a smile and willing to help. He always __6__after school to straighten chairs and mop the floor. We never talked much. He would just simply smile and ask what else he could do, then thank me for letting him stay and slowly__7___homeWeeks passed and the __8___over the coming Christmas grew into restlessness until the last day of__9__before the holiday break. I smiled in ___10 __as the last of them hurried out the door. Turning around I saw David ___11___standing by my desk.“I have something for you”he said and ____12____from behind his back a small box .Handing it to me, he said anxiously,“Open it”I took the box from him ,thanked him and slowly unwrapped it. I lifted the lid and to my __13__,I saw nothing. I looked at David…s smiling face add back into the box and said,“The box isnice ,David ,but it‟s__14__”“Oh no it isn‟t”said David.“It‟s full of love. My mum told me before she died that love was something you couldn‟t see or touch unless you know it‟s there.”Tears filled my eyes as looked at the proud dirty face that I had rarelygiven____15___to. After that Christmas, David and I became good friends and I never forgot the meaning behind the little empty box set on my desk.1. A. anxious B. courageous C. confused D. astonished2.. A. warning B. ringing C. calling D. whispering3. A. wandered B. wondered C. realized D. intended4. A. modestly B. naturally C. ordinarily D. improperly5. A. popular B. upset C. special D. frustrated6. A. practiced B. lied C. studied D. stayed7. A. carry on B. turn to C. put off D. head for8. A. argument B. excitement C. movement D. judgment9. A. school B. year C. education D. program10. A. relief B. return C. change D. control11. A. unfortunately B. sadly C. quietly D. helplessly12. A. searched B. found C. raised D. pulled13. A. surprise B. expectation C. appreciation D. content14. A. cheap B. empty C. useless D. messy15. A. advice B. support C. attention D. command第二节语法填空（共10小题，每小题1.5分，共15分）The weather is getting hotter. You are thirsty when____16____(ride) home from school. A cold drink may be just the thing. But most of us are never concerned about__17___we drink. Something that looks cool may not be ___18____(benefit) for your health.There are plenty of “energy drinks” on the market. Most of them have __19__ attractive color or cool name. Their nutrition list also contains various things from vitamins___20___sinseng(人参). Sounds great!But after a careful check you may find that most energy drinks have lots of caffeine(咖啡碱)in them. ____21_____(typical)aimed at young people, students, busy people and sports players. Makers sometimes say ___22___ drinks make you better at sports and can keep you awake. But be careful not to drink too much.Caffeine makes your heart beat fast. Because of this, the International Olympic Committee(IOC) has limited(限制) its use. Caffeine in most energy drinks is at least__23__ strong as that in a cup of coffee or tea.Research by Australian scientists found that many teenagers____24___(affect)by caffeine.The results of their survey show that 27 percent of boys aged 8-12 take in more caffeine than their parents.There are possible health risks___25____(connect) to energy drinks. Just one can of energy drink can make us nervous, have difficulty sleeping and can even cause heart attacks.II阅读理解（共20小题，每小题2分，满分40分）A篇As the first woman Chancellor (总理) in German's history, Angela Merkel topped Forbes magazine's list of "The World's 100 Most Powerful Women"in 2006, 2007, 2008,and 2009. She has even been compared to Margaret Th atcher and many people called her "Iron Lady".Merkel was born in Hamburg, West Germany, on July 17, 1954. Six weeks after she was born, her family moved to Templin. As a small child, Merkel quickly learned to speak but took longer to walk. "I was a stupid person when it comes to moving," Merkel said. "A normal person could do somet hing naturally, but I had to think about it in my mind and practice." As a t eenager, she was a top student and graduated from high school with perfect marks. In 1973, Merkel went to the University of Leipzig, where she studied physics. At 32, she got her doctor's degree in Physics.She stepped into politics in 1989. In her first big political job as Ministerfor the Environment in 1994, her scientific background and strong will proved very useful. In 2005, she became Germany's Chancellor. She has been re-elected to a second term as German Chancellor on September27, 2009.Through her political career, Merkel's persistence (坚持) and patience helped her a lot. "She's bright and open-minded," said Hubert Merkel. "She is the person who wants to know exactly what is going on, and how never gi ving up will influence our society and future."26. As a small child, Merkel was slow in _____.A. speakingB. learningC. walkingD. thinking27. The underlined phrase in Paragraph3 most probably means "_____".A. fought the governmentB. became a government officialC. offered political guidanceD. began her scientific career28. We can infer from the passage that Angela Merkel _____.A. got her doctor's degree in Politics in University of LeipzigB. is a powerful woman with a strong will and determinationC. has worked as German Chancellor since September27, 2009D. showed her best talent as Minister for the Environment29. In the last paragraph, the author mainly wants to express _____.A. one must be brave in the political careerB. one should be patient when making decisionsC. one can have a strong will when other's haven'tD. persistence can help one's dream come true30. What's the author's attitude toward Angela Merkel?A. Pitiful. C. Admiring (赞美的).B. Thankful. D. Dull.B篇From the first use of the rocket to carry satellites into space to the setting up of space stations, human beings have been putting great effort into space research. And so far, we have achieved many successes. But there are still numerous tasks in front of us and we should not cease trying to progress.The international space station is an important step we should take in space exploration. It is not only helpful but also essential. It provides a proper space environment for many experiments that we have wanted to do for a long time. It is also a base for the observations of the earth and the universe. It could also be an important base for later travel to the moon and Mars. In a word, if we want to explore space more, the first thing we should do is to set up a space station.As the space station costs a lot of money, it is hard for one country alone to establish one. The USA seems to be the only country that has the ability to build aspace station alone, and it has tried to do so, but not very successful. So it aggregated many other countries to work on it together. Though it is still extremely expensive, it is much cheaper than doing it alone. It is really a job that needs everyone's effort and will benefit everyone.But even so, the funds needed are still a big problem. As for the USA, it seems that it has too many things to spend its money on. Although it is the richest country in the world, it has much debt every year. It has to make arrangements about its finance,a try to find a balance in all these issues.31. What is the author‟s attitude towards building and developing the international space station?A. Dissatisfied.B. Doubtful.C. Critical.D. Supportive.32. From Paragraph 2 we learn that __________.A. the necessity of building the international space station is not realized nowB. the international space station is necessary for people to explore space moreC. many experiments have been done in the international space stationD. people have traveled to Mars from the international space station33. Which of the following is NOT a reason for countries' cooperation in building the international space station?A. That it requires a lot of money.B. That it needs everyone‟s effort.C. That it will benefit every participating country.D. That it is too far away from the earth.34. The underlined word "aggregated" in Paragraph 3 can be replaced by"__________".A. allowedB. scoldedC. unitedD. forbade35. Which of the following aspects about building the international space station is NOT mentioned in the passage?A. Difficulties.B. Specific arrangements.C. Cooperation.D. Significance.C篇Kids will often ignore your requests for them to turn off the TV, start their chores (杂事), or do their homework as a way to avoid following your directions. Before you know it, you've started to sound like a broken record as you repeatedly ask them to do their assignments, clean their rooms, or take out the trash. Rather than saying "Do your chores now." you'll be more effective if you set a target time for when the chores have to be completed. So instead of arguing about starting chores, just say, "If chores aren't done by 4 pm, here are the consequences." Then it's up to your child to complete the chores. Put the ball back in their court. Don't argue or fight with them, just say, "That's the way it's going to be." It shouldn't be punitive (惩罚性的) as much as it should be persuasive. "If your chores aren't done by 4 pm, then no video game time until chores are done. And if finishing those chores runs into homework time, that's going to be your loss." On the other hand, when dealing with homework, keep it very simple. Have a time when homework starts, and at that time, all electronics go off and do not go back on until you see that their homework is done. If your kids saythey have no homework, then they should use that time to study orread. Either way, there should be a time set aside when the electronics are off.When a kid wears his iPod or headphones when you're trying to talk to him, make no bones about it; he is not ignoring you, he is disrespecting you. At that point, everything else should stop until he takes the earplugs out of his ears. Don't try to communicate with him when he's wearing headphones-even if he tells you he can hear you. Wearing them while you're talking to him is a sign of disrespect. Parents should be very tough about this kind of thing. Remember, mutual respect becomes more important as children become mature.36. According to the passage, it seldom happens that _____.A.children are ready to follow their parents' directionsB. parents' directions sound like a broken recordC. kids turn a deaf ear to their parents' requestsD. parents are unaware of what they are repeating to their kids37. Parents will be able to deal with their children more effective- ly if they _____.A. argue and fight with their childrenB. make them do things at their requestC. avoid direct ways of punishmentD. allow their children to behave in their own way38. When the kid is doing his homework, parents _____.A. must switch off the powerB. can do whatever they likeC. can stay aside watching TVD. should provide him with a good learning environment39. It can be inferred from the passage that _____.A. parents should take off his headphones when trying to have a talk with their childB. it will make no difference that a kid is wearing his earplugs while talking to his parentsC. parents shouldn't give in to their kid when he shows no sign of respectD. kids' purposely talking to their parents with iPod gives them a sense of power and control40. The main idea of the passage is _____.A. that respecting each other is more important than anything elseB. how parents can deal with their kids' behavior effectivelyC. that children should make choices and decisions on their ownD. how kids behave to ignore and disrespect their parentsD篇Growing up, I wanted to be just like my mom. She was kind. People always seemed to feel comfortable in her presence. For years, she was a volunteer in our community. I loved going to the local nursing home with her where she taught a ceramic class.On one summer day, Mama told me to get changed and meet her at the car.I had planned to spend the day at the lake with friends. Why did she have to ruin everything? I imagined the cool lake water. Irritated, I climbed into the car andslammed the door shut. We sat in silence. I was too upset to make conversation.“Tasha, would you like to know where we are going?” Mama asked calmly.“No,” I said.“We are going to volunteer at a children‟s shelter today. I have been there before and I think it would benefit you,” she explained.When we reached the shelter, Mama rang the doorbell. Moments later, we were greeted by a woman. She led us to the front room where all of the children were playing. I noticed a baby whose body was scarred with iron marks. I was told it was because she wouldn‟t stop crying. The majority of the children had noticeable physical scars. Others hid their emotional wounds.As I took in my surroundings, I felt a gentle tug on my shirt. I looked down to see a little girl looking up at me. “Hi. You want to play dolls with me?” she asked. I looked over at Mama for reinforcement. She smiled and nodded. I turned back and said, “Sure.” Her tiny hand reached up and held mine, as if to comfort me.My mom taught me a valuable lesson that summer. I returned to the shelter with her several times. During those visits, some of the children shared their troubled pasts with me and I learned to be grateful for what I had. Today as I strive to instill (逐渐灌输) these values in my own child, I reflect back to that experience. It was a time that I will never forget.41.The author admired her mom for ________.A．her quality of honesty B．her excellent teachingC．her kindness to others D．her positive attitude to life42.According to Paragraph 3, when she was asked to go out with her mom, the author was ________.A．excited B．angry C．surprised D．worried43. From the passage we learn most children in the shelter ________.A．were once treated badly B．weren‟t allowed to go outsideC．were often punished by staff D．all suffered from mental illness44. The underlined word “reinforcement”in the passage is closest in meaning to “________”.A．truth B．help C．comfort D．support45.What lesson did the author learn from her experience?A．To value what you take for granted. B．To play with children is fun.C．To love others is to love yourself. D．To do as what your parents do.III 用下列所给英语词语造句。

肇庆市中小学教学质量评估2012届高中毕业班第一次模拟测试(文数)

肇庆市中小学教学质量评估2012届高中毕业班第一次模拟测试数学(文科)注意事项：1．答卷前，考生务必用黑色字迹的钢笔或签字笔将自己的班别、姓名、考号填写在答题卷的密封线内．2．选择题每小题选出答案后，用2B 铅笔把答题卷上对应题目的答案标号涂黑；如需要改动，用橡皮擦干净后，再选涂其它答案，答案不能写在试卷上． 3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在另发的答题卷各题目指定区域内相应的位置上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液．不按以上要求作答的答案无效．本试卷共4页，21小题，满分150分．考试用时120分钟．参考公式：锥体的体积公式Sh V 31=，其中S 为锥体的底面积，h 为锥体的高线性回归方程∧+=a x b yˆˆ 一、选择题：本大题共10小题，每小题5分，满分50分．在每小题给出的四个选项中，只有一项是符合题目要求的．1．若复数i z -=11，i z +=32，则复数21z z z ⋅=在复平面内对应的点位于 A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限 2．已知集合}01|{<-=x x M ，}065|{2>+-=x x x N ，则=N M}1|.{<x x A }21|.{<<x x B }3|.{>x x C ∅.D3．命题“0332,,),,(<++∈∈∃y x R y R x y x ”的否定是,),,(.000R x y x A ∈∃0332,000<++∈y x R y R x y x B ∈∃000),,(.，0332,000≥++∈y x R yR x y x C ∈∀),,(.，0332,≥++∈y x R y ,),,(.R x y x D ∈∀0332,>++∈y x R y4．某中学为了了解学生的课外阅读情况，随机调查了50名学生，得到他们在某一天各自课外阅读所用时间的数据，结果用图1的条形图表示．根据条形图可得这50名学生这一天平均每人的课外阅读时间为A ．0.67(小时)B ．0.97(小时) C.1.07(小时) D.1.57(小时)5．已知函数)1lg()1lg()(x x x f ++-=，)1lg()1lg()(x x x g +--=，则A ．)(x f 与)(x g 均为偶函数 )(.x fB 为奇函数，)(x g 为偶函数C ．)(x f 与)(x g 均为奇函数D ．)(x f 为偶函数，)(x g 为奇函数6．已知向量)3,4(=a ，)1,2(-=b ，如果向量b a λ+与b 垂直，则|2|b a λ-的值为1.A 5.B 5.C 55.D7．已知四棱锥V 一ABCD ，底面ABCD 是边长为3的正方形，VA⊥平面ABCD ，且VA=4，则此四棱锥的侧面中所有直角三角形的面积的和是A ．12B ．24C ．27D ．36 8．已知实数y x ,满足⎪⎩⎪⎨⎧≤≤≤-≤+,10,2,2x y x y x ，则y x z 32-=的最大值是A ．-6B ．-1C ．4D ．69．已知函数)(x f y =，将)(x f 的图象上的每一点的纵坐标保持不变，横坐标扩大到原来的2倍，然后把所得的图象沿着x 轴向左平移⋅2π个单位，这样得到的是x y sin 21=的图象，那么函数)(x f y =的解析式是)22sin(21)(π-=⋅xx f A )22sin(21)(π+=⋅x x f B)22sin(21)(π+=⋅x x f C )22sin(21)(π-=⋅x x f D10．观察下图2，可推断出“x ”应该填的数字是 A ．171 B ．183 C ．205 D ．268二、填空题：本大题共5小题，考生作答4小题，每小题5分，满分20分．(一)必做题(11～13题)11．高三某班学生每周用于数学学习的时间x(单67：小时)与数学成绩y(单位：分)之间有：根据上表可得同归方程的斜率为3.53，截距为13.5，若某同学每周用于数学学习的时间为18小时，则可预测该生数学成绩是________分(结果保留整数)．12．已知椭圆的方程是)5(125222>=+a yax ，它的两个焦点分别为21,F F ，且8||21=F F ，弦AB(椭圆上任意两点的线段)过点1F ，则2ABF ∆的周长为________ 13．如果实数y x ,满足等式3)2(22=+-y x ，那么xy 的最大值是________(二)选做题：第14、15题为选做题，考生只能选做一题，请先用2B 铅笔填涂选做的试题号对应的信息点，并将选做的题号填写在括号内再作答．14．(坐标系与参数方程选做题)在极坐标系中，直线2)cos (sin =-θθρ被圆θρsin 4= 截得的弦长为________．15．(几何证明选讲选做题)如图3，PAB 、PCD 为⊙O 的两条割线， PA=5，AB=7，CD=11，AC=2，则BD 等于________．三、解答题：本大题共6小题，满分80分．解答须写出文字说明、证明过程和演算步骤． 16．(本小题满分12分)已知数列}{n a 是一个等差数列，且.5,152-==a a (1)求}{n a 的通项n a 和前n 项和n S (2)设25n n a c -=，n cn b 2=，证明数列}{n b 是等比数列．17．(本小题满分13分) 2012年春节前，有超过20万名广西、四川等省籍的外来务工人员选择驾乘摩托车沿321 国道长途跋涉返乡过年．为防止摩托车驾驶人员因长途疲劳驾驶，手脚僵硬影响驾驶操作而引发交通事故，肇庆市公安交警部门在321国道沿线设立了多个长途行驶摩托车驾乘人员休息站，让过往返乡过年的摩托车驾驶人员有一个停车休息的场所．交警小李在某休息站连续5天对进站休息的驾驶人员每隔50辆摩托车就进行省籍询问一次，询问结果如图4所示：(1)问交警小李对进站休息的驾驶人员的省籍询问采用的是什么抽样方法?(2)用分层抽样的方法对被询问了省籍的驾驶人员进行抽样，若广西籍的有5名，则四川籍的应抽取几名?(3)在上述抽出的驾驶人员中任取2名，求至少有1名驾驶人员是广西籍的概率.18．(本小题满分13分)在△ABC 中，角A ，B ，C 的对边分别为6,,,π=B c b a ，3,54cos ==b A(1)求a 的值；(2)求)2sin(B A -的值．19．(本小题满分14分)已知四棱锥P--ABCD 如图5-1所示，其三视图如图5-2所示，其中正视图和侧视图都是直角三角形，俯视图是矩形． (1)求此四棱锥的体积：(2)若E 是PD 的中点，求证：AE⊥平面PCD ； (3)在(2)的条件下，若F 是PC 的中点，证明：直线AE 和直线BF 既不平行也不异面．20．(本小题满分14分)已知圆C 与两圆1)4(22=++y x ,1)2(22=-+y x 外切，圆C 的圆心轨迹为L ．设L 上的点与点),(y x M 的距离的最小值为m ，点F(0，1)与点),(y x M 的距离为n ． (1)求圆C 的圆心轨迹L 的方程；(2)求满足条件m=n 的点M 的轨迹Q 的方程；(3)试探究轨迹Q 上是否存在点),(11y x B 使得过点B 的切线与两坐标轴围成的三角形的面积等于⋅21若存在，请求出点B 的坐标：若不存在，请说明理由．21．(本小题满分14分)设函数),(1)(2R b a bx ax x f ∈+-=，⎩⎨⎧<->=)0(),()0(),()(x x f x x f x F(1)若0)1(=f ，且对任意实数均有0)(≥x f 恒成立，求)(x F 表达式；(2)在(1)在条件下，当]3,3[-∈x 时，kx x f x g -=)()(是单调函数，求实数k 的取值范围；(3)设0<mn ，0>+n m ，0>a 且)(x f 为偶函数，证明)()(n F m F ->参考答案一、选择题1 D 解析：i i i z 24)3)(1(-=+-=在复平面内对应的点位于第四象限2 A 解析：｝或1|{}32|{}1|{<=><<=x x x x x x x N M3 C 解析：).(y x ∃的否定是),(y x ∀，0332<++y x 的否定是0332≥++y x4 B 解析：一天平均每人的课外阅读时间应为一天的总阅读时间与学生的比，即97.05070.2115.1110.1145.070=⨯+⨯+⨯+⨯+⨯(小时)。

广东省肇庆市2013-2014学年高一下学期期末统一检测数学试题 Word版含答案

试卷类型：A肇庆市中小学教学质量评估 2013—2014学年第二学期统一检测题高一数学本试卷共4页，20小题，满分150分. 考试用时120分钟.注意事项：1. 答卷前，考生务必用黑色字迹的钢笔或签字笔，将自己所在县（市、区）、姓名、试室号、座位号填写在答题卷上对应位置，再用2B 铅笔将准考证号涂黑.2. 选择题每小题选出答案后，用2B 铅笔把答题卷上对应题目的答案标号涂黑；如需要改动，用橡皮擦干净后，再选涂其它答案，答案不能写在试卷或草稿纸上.3. 非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卷各题目指定区域内相应的位置上；如需改动，先划掉原来的答案，然后再在答题区内写上新的答案；不准使用铅笔和涂改液. 不按以上要求作答的答案无效.一、选择题（本大题共10小题，每小题5分，共50分. 在每小题给出的四个选项中，只有一项是符合题目要求的. ）1．已知向量(,2),(1,4)x ==-a b ，且//a b ，则x =A ．12-B ．12C ．-8D ．8 2．不等式2230x x +-≤的解是A ．(,3]-∞-B ．[1,)+∞C ．[3,1]-D ． (,3]-∞-[1,)+∞ 3．等差数列8，5，2，…的第20项是A ．68B ．65C ．46-D ．49- 4．已知0<<b a ，则下列不等式一定成立的是A ．b a -<- B ．b a ->|| C ．1<b a D ．ba 11< 5．已知向量(1,2),(1,0),(3,4)===a b c ．若λ为实数，()λ+⊥a b c ，则λ=A ．113-B ．-8C ．2D ．126．等比数列{}n a 中，44a =，则26a a ⋅等于Ａ．4 Ｂ．8 Ｃ．16 Ｄ．327．在ABC ∆中，已知||||||2AB BC AC ===，则向量AB 与BC 的数量积=⋅BC ABA． B．- C ．2 D ．-28．函数3)(23++=x xx x f （0>x ）的最小值是 A ．5 B． C ．3 D ．2 9. 函数)32sin(3π+=x y 的图象，可由函数sin y x =的图象经过下述变换而得到A ．向右平移3π个单位，横坐标缩小到原来的21，纵坐标扩大到原来的3倍B ．向右平移6π个单位，横坐标扩大到原来的2倍，纵坐标缩小到原来的31C ．向左平移3π个单位，横坐标缩小到原来的21，纵坐标扩大到原来的3倍D ．向左平移6π个单位，横坐标扩大到原来的2倍，纵坐标缩小到原来的3110．已知两点O （0，0）、A （1，1）及直线l ：a y x =+，它们满足：O 、A 有一点在直线l 上或O 、A 在直线l 的两侧. 设2()23h a a a =++，则使不等式242()x x h a +-≤恒成立的x 的取值范围是A ．[]0,2B ．[]5,1-C ．[]3,11D ．[]2,3 二、填空题（本大题共4小题，每小题5分，共20分. ） 11．︒480sin 的值等于 ▲ .12．不等式2650x x --<的解集是 ▲ .13．设变量x ，y 满足约束条件30,0,3620,x y y x y -≤≥-⎧≤+--⎪⎨⎪⎩则目标函数2z y x =+的最大值为 ▲ .14．给定两个平面单位向量OA 和OB ，它们的夹角为60︒．如图所示，点C 在以O 为圆心的圆弧AB 上变动．若y x +=,其中,x y R ∈，则x y +的最大值是 ▲ ．三、解答题（本大题共6小题，共80分，解答应写出证明过程或演算步骤. ） 15．（本小题满分12分）已知53)sin(=-απ，),2(ππα∈. （1）求)cos(απ+的值；（2）求)tan(απ-的值；（3）求sin 2cos 2αα+的值.16．（本小题满分12分）已知等差数列{}n a 的前n 项和为n S ，且满足：36a =，5724a a +=. （1）求n a 和n S ；（2）设n an b )2(=，求数列{}n b 的前项和n T .17．（本小题满分14分）已知函数)3sin()(πω-=x A x f ，（A ，ω为常数，且A >0，ω>0，R x ∈）的部分图象如图所示.（1）求函数()y f x =的最大值和最小正周期；（2）求)2(πf 的值；（3）已知56)122(=-παf ，),2(ππα∈，求)4cos(πα-的值.18．（本小题满分14分）已知n S 是数列{}n a 的前n 项和，且11a =，*12()n n na S n N +=∈，数列{}n b 为等比数列，且满足12b a =，342b b =.（1）求2a 的值；（2）求数列{}n a ，{}n b 的通项公式；（3）求数列{}n n a b ⋅的前n 项和n T .19．（本小题满分14分）在锐角△ABC 中，内角A 、B 、C 的对边分别为a 、b 、c ，且269sin sin 0525B B -+=．（1）求)4sin(π+B 的值；（2）若a =5，b =9，求cos A 的值；（3）若b =5a c +=，求△ABC 的面积．20．（本小题满分14分）已知数列{}n a 的前n 项和n S 满足：(1)1n n aS a a =--（*N n ∈，a 为常数，且0,1a a ≠≠）．（1）求{}n a 的通项公式；（2）设21nn nS b a =+，若数列{}n b 为等比数列，求a 的值；（3）在满足条件（2）的情形下，设11111n n n c a a +=++-，数列{}n c 的前n 项和为n T ，求证：123n T n >-．2013—2014学年第二学期统一检测题高一数学参考答案及评分标准一、选择题10．选B. 解析：由O 、A 有一点在直线l 上可得0a =或2a =，由O 、A 在直线l 的两侧可得(2)0a a -<，即02a <<，故02a ≤≤，又函数2()(1)2h a a =++在[]0,2上单调递增，所以max min ()(2)11,()(0)3h a h h a h ====.由242()x x h a +-≤得2423x x +-≤，解之得51x -≤≤.二、填空题 11．23 12．),1()6,(+∞--∞ 13．13 14．33214.3. 解析：由题设可知1OA OB OC ===及OA 和OB 的夹角为60，所以21=⋅．由O C x O A y O B =+及图形可知0,0x y ≥≥，从而22()OC xOA yOB =+，则222221()()()2x y x y xy x y xy x y +=++=+-≥+-，从而24()3x y +≤，即x y +≤当且仅当x y ==时， x y +．三、解答题15．（本小题满分12分）解：（1）∵()3sin ,5πα-=∴3sin 5α= （1分）又,2παπ⎛⎫∈ ⎪⎝⎭，∴4cos 5α===- （3分）∴()4cos cos 5παα+=-=（4分）（2） ∵435453cos sin tan -=-==ααα （6分）∴43tan )tan(=-=-ααπ （7分）（3）∵3sin 5α=,4cos 5α=-∴3424sin 22sin cos 25525ααα⎛⎫==⨯⨯-=-⎪⎝⎭（9分） 2247cos22cos 121525αα⎛⎫=-=⨯--= ⎪⎝⎭（11分） ∴24717sin 2cos 2252525αα+=-+=- （12分）16．（本小题满分12分）解：（1）设等差数列{}n a 的首项为1a ，公差为d .∵36a =，5724a a +=，即()()111264624a d a d a d +=⎧⎪⎨+++=⎪⎩ （2分）解得⎩⎨⎧==.2,21a d （4分）∴2(1)22n a n n =+-⨯= （6分）21()(22)22n n n a a n n S n n ++===+ （8分）（2） ∵22na nn n b === （9分）∴231232222n n T b b b b =++++=++++ （10分）12(12)2212n n +-==-- （12分）17．（本小题满分14分）解：（1）从图可知，函数()y f x =的最大值2A = （2分） ∵115212122T πππ=-=，（3分） ∴T π=，即最小正周期为π （4分）（2）∵222T ππωπ===，（5分） ∴函数()y f x =的表达式为()2sin 23f x x π⎛⎫=-⎪⎝⎭（6分）∴2sin 22sin 2sin 22333f ππππππ⎛⎫⎛⎫⎛⎫=⨯-=-==⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭ （8分）（3） ∵2sin 22sin 21221232f απαπππα⎡⎤⎛⎫⎛⎫⎛⎫-=--=-⎪ ⎪ ⎪⎢⎥⎝⎭⎝⎭⎝⎭⎣⎦（9分）62cos 5α=-=，（10分）∴3cos 5α=-，（11分）∵,2παπ⎛⎫∈ ⎪⎝⎭，∴4sin 5α=== （12分）∴cos cos cos sin sin 444πππααα⎛⎫-=+ ⎪⎝⎭ （13分）3455=-=（14分）18．（本小题满分14分）解：（1）由111,2()n n a na S n N *+==∈，得222112===a S a （2分）（2）当2≥n 时，由12n n na S +=，得1(1)2n n n a S --= （3分）两式相减，得11(1)2()n n n n na n a S S +---=-，即：1(1)n n na n a +=+，∴11n n a n a n++=（4分） ∴22=a ，3232a a =，3434=a a ，…，11n n a na n -=-，以上（1n -）个式子相乘得n n nn n a n =-⨯--⨯⨯⨯⨯=12134232 （3≥n ），（5分）又11=a ，22=a ，∴()n a n n N *=∈ （6分）由已知122b a ==，设等比数列{}n b 的公比为q ，由342b b =，得432b b =，即2q = （7分）故2n n b = （8分）（2）设数列{}n n a b ⋅的前n 项和n T ，则231222322n n T n =⨯+⨯+⨯++⋅ （9分） 23412122232(1)22n n n T n n +=⨯+⨯+⨯++-⋅+⋅ （11分）两式相减得23122222n n n T n +-=++++-⋅ （12分）12(12)212n n n +-=-⋅- （13分） 1(1)22n n +=--⋅-故22)1(1+⋅-=+n n n T （14分）19．（本小题满分14分）解：（1）由已知269sin sin 0525B B -+=，即23sin 05B ⎛⎫-= ⎪⎝⎭，（1分）所以3sin 5B =. （2分）∵ABC ∆是锐角三角形，∴4cos 5B == （3分） ∴sin sin cos cos Bsin 444B B πππ⎛⎫+=+ ⎪⎝⎭ （4分）34525210=⨯+⨯=（5分）（2）由（1）知，3sin 5B =因为 5,9a b ==，由正弦定理sin sin a bA B= （6分）得35sin 15sin 93a B Ab ⨯=== （8分） ∵ABC ∆是锐角三角形，∴cos A ===（9分）（3）由余弦定理得2222cos b a c ac B =+-．（10分）将4cos 5B =，b =218()75a c ac +-=．（12分）因为 5a c +=，所以 5ac =．（13分）所以△ABC 的面积1133sin 52252S ac B ==⨯⨯=．（14分）20．（本小题满分14分）解：（1）由题意，得)1(1111--==a a aS a ，∴1,a a = （1分）当2n ≥时，11,11n n n n n a a a S S a a a a --=-=--- 即1n n a a a -=，（2分）所以{}n a 是以a 为首项，a 为公比的等比数列，（3分）于是1n n n a a aa -=⋅=. （4分）（2）由（1）知，2(1)(31)211(1)n n n n n aa a a a ab a a a ⋅----=+=-（*），（5分）所以21232323223,,,a a a b b b a a +++=== （6分）因为{}n b 为等比数列，所以2213,b bb = （7分）故222323223a a a a a +++⎛⎫=⋅ ⎪⎝⎭，解得13a =，再将13a =代入（*）式，得3n n b =为等比数列，故13a =．（8分）（3）证明：由（2）知13nn a ⎛⎫= ⎪⎝⎭，所以11111333131111133n n n nn n n c +++=+=++-⎛⎫⎛⎫+- ⎪ ⎪⎝⎭⎝⎭（9分） 111311311111131313131n n n n n n ++++--+=+=-+++-+-11123131n n +⎛⎫=-- ⎪+-⎝⎭，（10分）由111111,313313n n n n ++<>+-，得111111,313133n n n n ++-<-+- （11分）所以11131122313133n n n n n c ++⎛⎫⎛⎫=-->-- ⎪⎪-⎝⎭⎝⎭＋，（12分）从而122231111111222333333n n n n T c c c +⎡⎤⎡⎤⎡⎤⎛⎫⎛⎫⎛⎫=+++>--+--++-- ⎪ ⎪ ⎪⎢⎥⎢⎥⎢⎥⎝⎭⎝⎭⎝⎭⎣⎦⎣⎦⎣⎦22311111112333333n n n +⎡⎤⎛⎫⎛⎫⎛⎫=--+-++- ⎪ ⎪ ⎪⎢⎥⎝⎭⎝⎭⎝⎭⎣⎦（13分） 312313121->⎪⎭⎫ ⎝⎛--=+n n n ，即312->n T n . （14分）。

肇庆市届高中毕业班第三次统一检测(文数)

肇庆市2017届高中毕业班第三次统一检测（文数）-CAL-FENGHAI-(2O2OYEAR-YICAI)_JINGBIAN肇庆市2017届高中毕业班第三次统一检测数学（文科）本试卷分笫I卷（选择题）和第II卷（非选择题）两部分，共23小题，满分150分.考试用时120分钟.注意事项：1•答卷前，考生务必用黑色字迹的钢笔或签字笔，将自己所在县（市、区）、姓名、试室号、座位号填写在答题卷上对应位置，再用2B铅笔在准考证号填涂区将考号涂黑.2.选择题每小题选出答案后，用2B铅笔把答题卷上对应题U的答案标号涂黑；如需改动，用橡皮擦干净后，再选涂其它答案，答案不能写在试卷或草稿纸上.3.非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卷各题U指定区域内相应的位置上；如需改动，先划掉原来的答案，然后再在答题区内写上新的答案；不准使用铅笔和涂改液.不按以上要求作答的答案无效.第I卷一、选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的.(1) 已知集合 A/={xl(x4-2)(x-l)<0},^ = {xlx + l<0},则 MDN =(A) (-1,1) (B) (-2,1)(C) (-2,-1)<D) (1,2)(2) 复数-^- =1-2/(A) -2-i(B) 1-2/(C) -2 + i(D) -1 + 2/(3) 从1,2,3,4中任取2个不同的数，则取出的2个数之差的绝对值为2的概率是 (A) -(B) -(C) -(D)-2 3 462(4) 设首项为1,公比为亍的等比数列{勺}的前”项和为二，贝IJ(A) S n =2a n -1 (B) S n =3a n -2(C) S”=4-3勺(D) S”=3-2“”2 2(5) 椭圆C:g+缶=1(“＞彷＞0)的左、右焦点分别为斤，竹，P 是C 上的点, PF 21 F\F""也=30。

广东省肇庆市2013-2014学年高一下学期期末统一检测英语试题 Word版含答案

肇庆市中小学教学质量评估2013-2014学年第二学期统一检测试题高一英语I语言知识运用（共两节，满分45分）第一节完型填空（共15小题，每小题2分，共30分）Even though it was only October, my students were already whispering about Christmas plans. With each passing day everyone became more __1__, waiting for the final school bell. Upon its ___2__everyone would run for their coats and go home, everyone except DavidDavid was a small boy in ragged clothes. I had often ___3__what kind of home life David had, and what kind of mother could send her son to school dressed so__4__ for the cold winter months, without a coat, boots, or gloves. But something made David __5__. I can still remember he was always wearing a smile and willing to help. He always __6__after school to straighten chairs and mop the floor. We never talked much. He would just simply smile and ask what else he could do, then thank me for letting him stay and slowly__7___homeWeeks passed and the __8___over the coming Christmas grew into restlessness until the last day of__9__before the holiday break. I smiled in ___10 __as the last of them hurried out the door. Turning around I saw David ___11___standing by my desk.“I have something for you”he said and ____12____from behind his back a small box .Handing it to me, he said anxiously,“Open it”I took the box from him ,thanked him and slowly unwrapped it. I lifted the lid and to my __13__,I saw nothing. I looked at David…s smiling face add back into the box and said,“The box isnice ,David ,but it‟s__14__”“Oh no it isn‟t”said David.“It‟s full of love. My mum told me before she died that love was something you couldn‟t see or touch unless you know it‟s there.”Tears filled my eyes as looked at the proud dirty face that I had rarelygiven____15___to. After that Christmas, David and I became good friends and I never forgot the meaning behind the little empty box set on my desk.1. A. anxious B. courageous C. confused D. astonished2.. A. warning B. ringing C. calling D. whispering3. A. wandered B. wondered C. realized D. intended4. A. modestly B. naturally C. ordinarily D. improperly5. A. popular B. upset C. special D. frustrated6. A. practiced B. lied C. studied D. stayed7. A. carry on B. turn to C. put off D. head for8. A. argument B. excitement C. movement D. judgment9. A. school B. year C. education D. program10. A. relief B. return C. change D. control11. A. unfortunately B. sadly C. quietly D. helplessly12. A. searched B. found C. raised D. pulled13. A. surprise B. expectation C. appreciation D. content14. A. cheap B. empty C. useless D. messy15. A. advice B. support C. attention D. command第二节语法填空（共10小题，每小题1.5分，共15分）The weather is getting hotter. You are thirsty when____16____(ride) home from school. A cold drink may be just the thing. But most of us are never concerned about__17___we drink. Something that looks cool may not be ___18____(benefit) for your health.There are plenty of “energy drinks” on the market. Most of them have __19__ attractive color or cool name. Their nutrition list also contains various things from vitamins___20___sinseng(人参). Sounds great!But after a careful check you may find that most energy drinks have lots of caffeine(咖啡碱)in them. ____21_____(typical)aimed at young people, students, busy people and sports players. Makers sometimes say ___22___ drinks make you better at sports and can keep you awake. But be careful not to drink too much.Caffeine makes your heart beat fast. Because of this, the International Olympic Committee(IOC) has limited(限制) its use. Caffeine in most energy drinks is at least__23__ strong as that in a cup of coffee or tea.Research by Australian scientists found that many teenagers____24___(affect)by caffeine.The results of their survey show that 27 percent of boys aged 8-12 take in more caffeine than their parents.There are possible health risks___25____(connect) to energy drinks. Just one can of energy drink can make us nervous, have difficulty sleeping and can even cause heart attacks.II阅读理解（共20小题，每小题2分，满分40分）A篇As the first woman Chancellor (总理) in German's history, Angela Merkel topped Forbes magazine's list of "The World's 100 Most Powerful Women"in 2006, 2007, 2008,and 2009. She has even been compared to Margaret Th atcher and many people called her "Iron Lady".Merkel was born in Hamburg, West Germany, on July 17, 1954. Six weeks after she was born, her family moved to Templin. As a small child, Merkel quickly learned to speak but took longer to walk. "I was a stupid person when it comes to moving," Merkel said. "A normal person could do somet hing naturally, but I had to think about it in my mind and practice." As a t eenager, she was a top student and graduated from high school with perfect marks. In 1973, Merkel went to the University of Leipzig, where she studied physics. At 32, she got her doctor's degree in Physics.She stepped into politics in 1989. In her first big political job as Ministerfor the Environment in 1994, her scientific background and strong will proved very useful. In 2005, she became Germany's Chancellor. She has been re-elected to a second term as German Chancellor on September27, 2009.Through her political career, Merkel's persistence (坚持) and patience helped her a lot. "She's bright and open-minded," said Hubert Merkel. "She is the person who wants to know exactly what is going on, and how never gi ving up will influence our society and future."26. As a small child, Merkel was slow in _____.A. speakingB. learningC. walkingD. thinking27. The underlined phrase in Paragraph3 most probably means "_____".A. fought the governmentB. became a government officialC. offered political guidanceD. began her scientific career28. We can infer from the passage that Angela Merkel _____.A. got her doctor's degree in Politics in University of LeipzigB. is a powerful woman with a strong will and determinationC. has worked as German Chancellor since September27, 2009D. showed her best talent as Minister for the Environment29. In the last paragraph, the author mainly wants to express _____.A. one must be brave in the political careerB. one should be patient when making decisionsC. one can have a strong will when other's haven'tD. persistence can help one's dream come true30. What's the author's attitude toward Angela Merkel?A. Pitiful. C. Admiring (赞美的).B. Thankful. D. Dull.B篇From the first use of the rocket to carry satellites into space to the setting up of space stations, human beings have been putting great effort into space research. And so far, we have achieved many successes. But there are still numerous tasks in front of us and we should not cease trying to progress.The international space station is an important step we should take in space exploration. It is not only helpful but also essential. It provides a proper space environment for many experiments that we have wanted to do for a long time. It is also a base for the observations of the earth and the universe. It could also be an important base for later travel to the moon and Mars. In a word, if we want to explore space more, the first thing we should do is to set up a space station.As the space station costs a lot of money, it is hard for one country alone to establish one. The USA seems to be the only country that has the ability to build aspace station alone, and it has tried to do so, but not very successful. So it aggregated many other countries to work on it together. Though it is still extremely expensive, it is much cheaper than doing it alone. It is really a job that needs everyone's effort and will benefit everyone.But even so, the funds needed are still a big problem. As for the USA, it seems that it has too many things to spend its money on. Although it is the richest country in the world, it has much debt every year. It has to make arrangements about its finance,a try to find a balance in all these issues.31. What is the author‟s attitude towards building and developing the international space station?A. Dissatisfied.B. Doubtful.C. Critical.D. Supportive.32. From Paragraph 2 we learn that __________.A. the necessity of building the international space station is not realized nowB. the international space station is necessary for people to explore space moreC. many experiments have been done in the international space stationD. people have traveled to Mars from the international space station33. Which of the following is NOT a reason for countries' cooperation in building the international space station?A. That it requires a lot of money.B. That it needs everyone‟s effort.C. That it will benefit every participating country.D. That it is too far away from the earth.34. The underlined word "aggregated" in Paragraph 3 can be replaced by"__________".A. allowedB. scoldedC. unitedD. forbade35. Which of the following aspects about building the international space station is NOT mentioned in the passage?A. Difficulties.B. Specific arrangements.C. Cooperation.D. Significance.C篇Kids will often ignore your requests for them to turn off the TV, start their chores (杂事), or do their homework as a way to avoid following your directions. Before you know it, you've started to sound like a broken record as you repeatedly ask them to do their assignments, clean their rooms, or take out the trash. Rather than saying "Do your chores now." you'll be more effective if you set a target time for when the chores have to be completed. So instead of arguing about starting chores, just say, "If chores aren't done by 4 pm, here are the consequences." Then it's up to your child to complete the chores. Put the ball back in their court. Don't argue or fight with them, just say, "That's the way it's going to be." It shouldn't be punitive (惩罚性的) as much as it should be persuasive. "If your chores aren't done by 4 pm, then no video game time until chores are done. And if finishing those chores runs into homework time, that's going to be your loss." On the other hand, when dealing with homework, keep it very simple. Have a time when homework starts, and at that time, all electronics go off and do not go back on until you see that their homework is done. If your kids saythey have no homework, then they should use that time to study orread. Either way, there should be a time set aside when the electronics are off.When a kid wears his iPod or headphones when you're trying to talk to him, make no bones about it; he is not ignoring you, he is disrespecting you. At that point, everything else should stop until he takes the earplugs out of his ears. Don't try to communicate with him when he's wearing headphones-even if he tells you he can hear you. Wearing them while you're talking to him is a sign of disrespect. Parents should be very tough about this kind of thing. Remember, mutual respect becomes more important as children become mature.36. According to the passage, it seldom happens that _____.A.children are ready to follow their parents' directionsB. parents' directions sound like a broken recordC. kids turn a deaf ear to their parents' requestsD. parents are unaware of what they are repeating to their kids37. Parents will be able to deal with their children more effective- ly if they _____.A. argue and fight with their childrenB. make them do things at their requestC. avoid direct ways of punishmentD. allow their children to behave in their own way38. When the kid is doing his homework, parents _____.A. must switch off the powerB. can do whatever they likeC. can stay aside watching TVD. should provide him with a good learning environment39. It can be inferred from the passage that _____.A. parents should take off his headphones when trying to have a talk with their childB. it will make no difference that a kid is wearing his earplugs while talking to his parentsC. parents shouldn't give in to their kid when he shows no sign of respectD. kids' purposely talking to their parents with iPod gives them a sense of power and control40. The main idea of the passage is _____.A. that respecting each other is more important than anything elseB. how parents can deal with their kids' behavior effectivelyC. that children should make choices and decisions on their ownD. how kids behave to ignore and disrespect their parentsD篇Growing up, I wanted to be just like my mom. She was kind. People always seemed to feel comfortable in her presence. For years, she was a volunteer in our community. I loved going to the local nursing home with her where she taught a ceramic class.On one summer day, Mama told me to get changed and meet her at the car.I had planned to spend the day at the lake with friends. Why did she have to ruin everything? I imagined the cool lake water. Irritated, I climbed into the car andslammed the door shut. We sat in silence. I was too upset to make conversation.“Tasha, would you like to know where we are going?” Mama asked calmly.“No,” I said.“We are going to volunteer at a children‟s shelter today. I have been there before and I think it would benefit you,” she explained.When we reached the shelter, Mama rang the doorbell. Moments later, we were greeted by a woman. She led us to the front room where all of the children were playing. I noticed a baby whose body was scarred with iron marks. I was told it was because she wouldn‟t stop crying. The majority of the children had noticeable physical scars. Others hid their emotional wounds.As I took in my surroundings, I felt a gentle tug on my shirt. I looked down to see a little girl looking up at me. “Hi. You want to play dolls with me?” she asked. I looked over at Mama for reinforcement. She smiled and nodded. I turned back and said, “Sure.” Her tiny hand reached up and held mine, as if to comfort me.My mom taught me a valuable lesson that summer. I returned to the shelter with her several times. During those visits, some of the children shared their troubled pasts with me and I learned to be grateful for what I had. Today as I strive to instill (逐渐灌输) these values in my own child, I reflect back to that experience. It was a time that I will never forget.41.The author admired her mom for ________.A．her quality of honesty B．her excellent teachingC．her kindness to others D．her positive attitude to life42.According to Paragraph 3, when she was asked to go out with her mom, the author was ________.A．excited B．angry C．surprised D．worried43. From the passage we learn most children in the shelter ________.A．were once treated badly B．weren‟t allowed to go outsideC．were often punished by staff D．all suffered from mental illness44. The underlined word “reinforcement”in the passage is closest in meaning to “________”.A．truth B．help C．comfort D．support45.What lesson did the author learn from her experience?A．To value what you take for granted. B．To play with children is fun.C．To love others is to love yourself. D．To do as what your parents do.III 用下列所给英语词语造句。