2015-2016学年福建省福建师大附中高二下学期期末考试英语(解析版)

2015―2016学年高二年级下学期英语期末试卷（本试卷共120分，考试时间100分钟）注意事项：1答题前，考生务必将自己的姓名、准考证号填写在答题卡相应的位置并涂号。

2.全部答案在答题卡上完成，答在本试卷上无效。

3.用黑色笔迹的签字笔将答案写在答题卡上，写在本试卷上无效。

第I卷第二部分、阅读理解(共两节，满分40分)第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项(A, B, C和D)中，选出最佳选项.并且在答题卡上将该项涂黑。

AMoscow Sheremetyevo International AirportIf You’ve Lost Personal Belongings●On Board —Contact the airline’s representatives●At the Airport —Contact:—Sheremetyevo Police Department ……+7(495)578-22-55—Unclaimed luggage storage room in Terminal C ……+7(495)578-23-26—Unclaimed luggage storage room in Terminal D……+7(499)500-65-52(domestic flights)……+7(495)753-86-41(international flights) When collecting Lost and Found items, you shall have an identification document, a boarding pass or a ticket, and also indicate the place where the items were lost and prove they are yours.If Your Luggage Is Lost or DamagedBefore leaving the arrival area, please turn to the Lost and Found counter to file a report. The written claim shall be submitted to the airline company not later than seven days from the time when the luggage was to be collected.If your luggage is not found within twenty-one days of the time when the claim was filed, youhave the right to claim damages in the amount of not more than 600 rubles per kilogram. Amount refunded(退款) for the hand luggage lost through the fault of an airline is not more than 11, 000 rubles regardless of its weight. Amount refunded for damaged luggage is calculated based on the same tariffs(关税).Keep your flight documents (a ticket, boarding pass, luggage tag, and delayed luggage report filed at the airport) until the end of the procedure for searching for your luggage.Current information on luggage-tracing results ……+7(495)578-76-65Lost and Found service of Aeroflot Russian Airlines……+7(495)544-33-25(from 9:00- 20:00)+7(495)753-86-41(24 hours)For further information please contact the airline.1.What should you do if you find your personal possessions lost on board?A.Submit a claim to the company.B.Go to the Lost and Found counter.C.Contact the airline’s representatives.D.Contact the unclaimed luggage storage room2.How much money can you claim if your 20-kilomgram hand luggage is lost?A.600 rubles.B.11,000 rubles at most.C.12,000 rubles at least.D.12,000 rubles at most.3.Which number will you probably dial to see whether your lost luggage has been found?A.7(495)578-76-65B.7(495)544-33-25C.7(499)500-65-52D.7(495)753-86-41BThe loneliest chimp(黑猩猩) in the world just got the best surprise---a hug from a new friend. Ponso has been by himself for nearly three years, finding himself alone after his wife and children died on the island where they were abandoned by a medical testing company many years ago.For years a nearby villager named Germain has been Ponso’s only company, visiting him so often to bring bananas and bread---the chimp’s only source of food on the tiny island. It was clear how much Ponso missed companionship when he was recently visited by Chimpanzee Conservation Centre Director Estelle Raballand. The chimp immediately embraced Estelle Raballand in a huge hug and laughed as she reached out for him, with his smile from ear to ear.For those who know Ponso’s backstory, his immediate ease and trust in humans might be surprising. Ponso was one of 20 chimps, all between the ages of 7 to 11 years old, relocated to an island off the Ivory Coast after being used for testing. After the tests were completed in 2005, the lab reportedly transferred the chimps to a string of islands, occasionally dropping off food and water because there was none in the chimps’ new homes.Disease and hunger soon left only Ponso, his mate and their two children standing. But at the end of 2013 they died within days and Ponso is now completely alone.A group called SOS PONSO is trying to raise money for the poor lonely chimp, already achieving its goal of $20,000 ----all of which will be used for Ponso’s care.4.What do we know about the chimp Ponso?A.He was deserted by his family.B.He found many sources of food.C.He came to the island for a test.D.He suffers from loneliness greatly.5.How did Ponso feel about the visit of Estelle Raballand?A.Excited.B.Frightened.C.Embarrassed.D.Confused.6.What is Paragraph 3 mainly about?A.The chimps’ new settlements.B.How Ponso came to the island.C.Why Ponso was used for a test.D.The medical test about chimps.7.What can be inferred from the text?A.Germain won’t visit Ponso anymore.B. A new lab will be built on the island.C.Many people show concern for Ponso.D.More chimps will be brought to the island.CIt was December 25, 1914, only 5 months into World War I. German, British, and French soldiers, already sick and tired of the senseless killing, disobeyed their superiors and started socializing with “the enemy” along two-thirds of the Western Front.German troops held up Christmas trees with signs “Merry Christmas”. Thousands of troops ran across the battlefields covered with dead bodies. They sang Christmas songs, exchanged photographs of loved ones back home, shared food and even played football. Soldiers hugged men they had been trying to kill a few short hours before. They agreed to warn each other if their officers forced them to fire their weapons, and to aim high.Fear ran through the military leaders on both sides. They felt that their power was being challenged: soldiers declaring their brotherhood with each other and refusing to fight. Generals declared this unexpected peacemaking illegal and said that participating soldiers would face a military court. Those found guilty would be imprisoned or even shot. By March 1915 the socializing movement had been destroyed and the killing machine was back in full operation. Over the next three years more than fifteen million people died in the war.Not many people have heard the story of the Christmas Truce(休战). On Christmas Day, 1988, a local radio host in Boston played “ Christmas in the Trenches”, a song about the Christmas Truce, several times and was stunned by his listeners’ response. Thousands of people called in, praising the song, with many moved to tears by the amazing events it describes.You can probably guess why the callers were in tears. The Christmas Truce story goes against most of what we have been taught about people. It lets us see the world as it can be and says, “This really happened once.” It shows us the potential we have as humans, and contradicts all of those TV and newspaper stories that tell us how mean and heartless people are. It is like hearing that our deepest wishes really are true: the world really can be different.8.The soldiers began socializing with the enemy because ______.A.they couldn’t bear the meaningless killing.B.it was the best way to avoid being killed.C.they feared that they would be caught.D.their enemies were from similar backgrounds.9.How did the generals finally put an end to the soldiers’ socializing?A.They sent the soldiers’ loved ones to prison.B.They moved the two groups of soldiers further apart.C.They increased the number of officers to control the soldiers.D.They warned the soldiers that they would face severe punishment.10.The underlined word “stunned” in Paragraph 4 most probably means “____”.A.satisfiedB. shockedC. amusedD. confused11.The author uses the story of the soldiers to imply that human beings ____.A.are not trustworthy under stress.B.are naturally aggressive and warlikeC.are basically caring and kind-heartedD.will always do what is in their own self-interestDThose accustomed to browsing through thousands of books in large bookstores may find Japan’s Morioka Shoten a little strange. That’s because this tiny bookstore that is located in Ginza, Tokyo sells only a single book at a time.Opened in May 2015, Morioka Shoten is the brainchild of Yoshiyuki Morioka. He began his career as a bookstore clerk in Tokyo’s Kanda district before branching out to open his own store. It was here while organizing book reading and signing that he realized that customers usually came into the store with one title in mind. Morioka began to wonder if a store could exist by selling multiple copies of just one single book. In November 2014, he partnered with Masamichi Toyama to establish a unique bookstore with the philosophy of “A Single Room with a Single Book”.The selections that are picked by Morioka change weekly and vary widely to attract customers with different interests. Recent choices include The True Deceiver, an award-winning Swedish novel by Tove Jansson, Hans Anderse n’s Fairy Tales, and a collection of Karl Blossfeldt’s photography of plants. Morioka has also selected books written by a famous Japanese author Mimei Ogawa.To highlight his only offering, Morioka often uses clever tricks. For example, when selling a book about flowers, the storekeeper decorated his shop with the ones that had been mentioned in the book. He also encourages authors to hold talks and discussions so they can connect with customers. Morioka says his goal is for the customers to experience being inside a book, not just a bookstore.Risky as the idea might seem, things appear to be going well. The storekeeper says he has sold over 2,100 books. Things can get better given that his bookstore is becoming increasingly popular not just among the locals but also visitors form other countries.12.What inspired Morioka to open such a bookstore?A. A Swedish novel.B.His present partner.C. A bookstore clerk.D.His working experience.13.Why is Morioka Shoten unique?A.It is popular with foreigners.B.It sells books of different topics.C.It is decorated with colorful flowers.D.It sells various copies of a book in a week.14.Why does Morioka encourage authors to hold talks?A.To introduce his bookstore.B.To advocate his philosophy.C.To make books better understood.D.To help readers make more friends.15.What’s the author’s opinion about the bookstore’s future?A.Risky.B. Promising.C. Unpredictable.D. Hopeless.第二节（共5小题；每小题2分，满分10分）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，并在答题卡上将该项涂黑。

福建省福建师大附中2015-2016学年高一下学期期中考试英语试题（满分：150分时间：120分钟）第Ⅰ卷(共79分)第一部分：听力（共20题；每小题1分, 满分20分）第一节（共5小题；每小题1分, 满分5分）听下面10段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. Where does the man probably work?A. At a store.B. At a restaurant.C. At a club.2. What is the woman going to do next week?A. Meet Rich’s mother.B. Buy her mother a present.C. Introduce Rich to her mother.3. What are the speakers talking about?A. A computer.B. A television.C. A radio.4. What will the boy do first?A. Do his homework.B. Clean his room.C. Watch TV.5. Where are the speakers?A. At a bus stop.B. On a bus.C. In the man’s home.第二节（共15小题；每小题1分, 满分15分）听下面5段对话。

每段对话后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听每段对话前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话读两遍。

听第6段材料，回答第6、7题。

6. Why does the woman refuse to help the man?A. It is against the rules.B. His instrument is too heavy.C. She doesn’t know where to make a call.7. Where will the man go?A. To the reception.B. To the dining room.C. To the bag office.听第7段材料，回答第8、9题。

福建师大附中2015-2016学年高二（上）期中数学试卷（理科）（实验班）一、选择题：本大题有12小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项符合题目要求.1．下列结论正确的是（）A．当x＞0且x≠1时，lgx+≥2 B．当x＞0时，+≥2C．当x≥2时，x+的最小值为2 D．当0＜x≤2时，x﹣无最大值2．关于x的不等式mx2﹣mx﹣1＜0的解集是全体实数，则m应满足的条件是（）A．[﹣4，0]B．（﹣4，0]C．[0，4）D．（﹣4，0）3．已知数列{a n}是首项为1的等比数列，S n是{a n}的前n项和，且，则数列{}的前5项和为（）A．或B．或C．D．4．一辆汽车在一条水平的公路上向正西方向行驶，到A处时测得公路北侧远处一山顶D在西偏北α方向上，行驶a千米后到达B处，此时测得此山顶在西偏北β方向上，仰角为γ，根据这些测量数据计算（其中β＞α），此山的高度是（）A．B．C．D．5．在△ABC中，①若B=60°，a=10，b=7，则该三角形有且仅有两解；②若三角形的三边的比是3：5：7，则此三角形的最大角为钝角；③若△ABC为锐角三角形，且三边长分别为2，3，x，则x的取值范围是．其中正确命题的个数是（）A．0 B．1 C．2 D．36．已知约束条件对应的平面区域D如图所示，其中l1，l2，l3对应的直线方程分别为：y=k1x+b1，y=k2x+b2，y=k3x+b3，若目标函数z=﹣kx+y仅在点A（m，n）处取到最大值，则有（）A．k1＜k＜k2B．k1＜k＜k3C．k1≤k≤k3D．k＜k1或k＞k37．在△ABC中，角A，B，C所对应的边分别为a，b，c，sinC+sin（A﹣B）=3sin2B．若，则=（）A．B．3 C．或3 D．3或8．在△ABC中，内角A、B、C的对边分别是a、b、c，若c2=（a﹣b）2+6，△ABC的面积为，则C=（）A．B．C．D．9．设等差数列{a n}的前n项和为S n，且满足S100＞0，S101＜0，对任意正整数n，都有|a n|≥|a k|，则k 的值为（）A．49 B．50 C．51 D．5210．已知数列{a n}的前n项和为，令，记数列{b n}的前n项为T n，则T2015=（）A．﹣2011 B．﹣2012 C．﹣2013 D．﹣201411．若不等式组的解集不是空集，则实数a的取值范围是（）A．（﹣∞，﹣4]B．[﹣4，+∞）C．[﹣4，20] D．[﹣4，20）12．数列{a n}满足a1=1，=，记S n=a i2a i+12，若S n≤对任意的n（n∈N*）恒成立，则正整数t的最小值为（）A．10 B．9 C．8 D．7二、填空题：本大题有4小题，每小题5分，共20分，把答案填在答卷的相应位置.13．已知x，y满足约束条件，若z=ax+y的最大值为4，则a=．14．设数列{a n}的前n项和为S n，且a1=1，{S n+na n}为常数列，则a n=．15．若数列{a n}满足﹣=0，n∈N*，p为非零常数，则称数列{a n}为“梦想数列”．已知正项数列{}为“梦想数列”，且b1b2b3…b99=299，则b8+b92的最小值是．16．已知点G是斜△ABC的重心，且AG⊥BG，+=，则实数λ的值为．三、解答题：本大题有6题，共70分，解答应写出文字说明、证明过程或演算步骤.17．关于x的不等式ax2+（a﹣2）x﹣2≥0（a∈R）（1）已知不等式的解集为（﹣∞，﹣1]∪[2，+∞），求a的值；（2）解关于x的不等式ax2+（a﹣2）x﹣2≥0．18．设S n是数列[a n}的前n项和，．（1）求{a n}的通项；（2）设b n=，求数列{b n}的前n项和T n．19．如图，C、D是两个小区所在地，C、D到一条公路AB的垂直距离分别为CA=1km，DB=2km，AB两端之间的距离为6km．（1）如图1，某移动公司将在AB之间找一点P，在P处建造一个信号塔，使得P对A、C的张角与P对B、D的张角相等，试确定点P的位置．（2）如图2，环保部门将在AB之间找一点Q，在Q处建造一个垃圾处理厂，使得Q对C、D所张角最大，试确定点Q的位置．20．在△ABC中，已知sinB=cosAsinC（1）判断△ABC的形状（2）若•=9，又△ABC的面积等于6．求△ABC的三边之长；（3）在（2）的条件下，设P是△ABC（含边界）内一点，P到三边AB，BC，CA的距离分别为d1，d2，d3，求d1+d2+d3的取值范围．21．某个公园有个池塘，其形状为直角△ABC，∠C=90°，AB=2百米，BC=1百米．（1）现在准备养一批供游客观赏的鱼，分别在AB、BC、CA上取点D，E，F，如图（1），使得EF‖AB，EF⊥ED，在△DEF喂食，求△DEF面积S△DEF的最大值；（2）现在准备新建造一个荷塘，分别在AB，BC，CA上取点D，E，F，如图（2），建造△DEF连廊（不考虑宽度）供游客休憩，且使△DEF为正三角形，设求△DEF边长的最小值．22．已知函数．（1）若对于任意的x∈R，f（x）＞0恒成立，求实数k的取值范围；（2）若f（x）的最小值为﹣2，求实数k的值；（3）若对任意的x1，x2，x3∈R，均存在以f（x1），f（x2），f（x3）为三边长的三角形，求实数k的取值范围．四、附加题：23．（2015秋•福建校级期中）研究数列{x n}的前n项发现：{x n}的各项互不相同，其前i项（1≤i≤n ﹣1）中的最大者记为a i，最后n﹣i项（i≤i≤n﹣1）中的最小者记为b i，记c i=a i﹣b i，此时c1，c2，…c n ，c n﹣1构成等差数列，且c1＞0，证明：x1，x2，x3，…x n﹣1为等差数列．﹣22015-2016学年福建师大附中高二（上）期中数学试卷（理科）（实验班）参考答案与试题解析一、选择题：本大题有12小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项符合题目要求.1．下列结论正确的是（）A．当x＞0且x≠1时，lgx+≥2 B．当x＞0时，+≥2C．当x≥2时，x+的最小值为2 D．当0＜x≤2时，x﹣无最大值【考点】基本不等式．【分析】本题中各选项都是利用基本不等式求最值，注意验证一正、二定、三相等条件是否满足即可．A中不满足“正数”，C中“=”取不到．【解答】解：A中，当0＜x＜1时，lgx＜0，lgx+≥2不成立；由基本不等式B正确；C中“=”取不到；D中x﹣在0＜x≤2时单调递增，当x=2时取最大值．故选B【点评】本题主要考查利用基本不等式求最值的三个条件，一正、二定、三相等，在解题中要牢记．2．关于x的不等式mx2﹣mx﹣1＜0的解集是全体实数，则m应满足的条件是（）A．[﹣4，0]B．（﹣4，0]C．[0，4）D．（﹣4，0）【考点】二次函数的性质．【专题】函数思想；综合法；不等式的解法及应用．【分析】若m=0．则﹣1＜0恒成立，若m≠0，由不等式的解集是全体实数可知f（x）=mx2﹣mx﹣1开口向下，△＜0，列出不等式解出m的范围．【解答】解：当m=0时，不等式为﹣1＜0，恒成立；当m≠0时，∵不等式mx2﹣mx﹣1＜0的解集是全体实数，∴，解得﹣4＜m＜0．综上，m的取值范围是（﹣4，0]．故选：B．【点评】本题考查了二次不等式与二次函数的关系，对m进行讨论是关键．3．已知数列{a n}是首项为1的等比数列，S n是{a n}的前n项和，且，则数列{}的前5项和为（）A．或B．或C．D．【考点】等比数列的前n项和．【专题】等差数列与等比数列．【分析】由已知式子可得数列{a n}的公比，进而可得等比数列{}的首项为1，公比为±，由求和公式可得．【解答】解：∵，∴S8=17S4，∴=16，∴公比q满足q4=16，∴q=2或q=﹣2，∴等比数列{}的首项为1，公比为±，当公比为时，数列{}的前5项和为=；当公比为﹣时，数列{}的前5项和为=故选：A【点评】本题考查等比数列的求和公式，涉及分类讨论的思想，属中档题．4．一辆汽车在一条水平的公路上向正西方向行驶，到A处时测得公路北侧远处一山顶D在西偏北α方向上，行驶a千米后到达B处，此时测得此山顶在西偏北β方向上，仰角为γ，根据这些测量数据计算（其中β＞α），此山的高度是（）A．B．C．D．【考点】解三角形的实际应用．【专题】应用题；解三角形．【分析】先求出BC，再求出CD即可．【解答】解：在△ABC中，∠ACB=β﹣α，∠ABC=π﹣β，AB=a，∴，∴BC=，∴CD=BCtanγ=．故选：B．【点评】本题主要考查了解三角形的实际应用．考查了运用数学知识，建立数学模型解决实际问题的能力．5．在△ABC中，①若B=60°，a=10，b=7，则该三角形有且仅有两解；②若三角形的三边的比是3：5：7，则此三角形的最大角为钝角；③若△ABC为锐角三角形，且三边长分别为2，3，x，则x的取值范围是．其中正确命题的个数是（）A．0 B．1 C．2 D．3【考点】命题的真假判断与应用．【专题】对应思想；定义法；三角函数的求值．【分析】①根据正弦定理判断得出sinA=＞1不成立；②设边长，根据余弦定理得出最大角cosα==﹣＜0，③设出角度，根据大边对大角，只需判断最大角为锐角即可．【解答】解：在△ABC中，①若B=60°，a=10，b=7，由正弦定理可知，，所以sinA=＞1，故错误；②若三角形的三边的比是3：5：7，根据题意设三角形三边长为3x，5x，7x，最大角为α，由余弦定理得：cosα==﹣，则最大角为120°，故正确；③若△ABC为锐角三角形，且三边长分别为2，3，x，设所对角分别为A，B，C，则最大角为B或C所对的角，∴cosB=＞0，得是＜x，cosC=＞0，得x＜．则x的取值范围是，故正确；故选：C．【点评】考查了正弦定理和余弦定理的应用，根据题意，正确设出边或角．6．已知约束条件对应的平面区域D如图所示，其中l1，l2，l3对应的直线方程分别为：y=k1x+b1，y=k2x+b2，y=k3x+b3，若目标函数z=﹣kx+y仅在点A（m，n）处取到最大值，则有（）A．k1＜k＜k2B．k1＜k＜k3C．k1≤k≤k3D．k＜k1或k＞k3【考点】简单线性规划．【专题】不等式的解法及应用．【分析】根据z的几何意义，结合直线斜率之间的关系，即可得到结论．【解答】解：A是l1与l3的交点，目标函数z=﹣kx+y仅在点A处取到最大值，∴直线y=kx+z的倾斜角比l1的要大，比l3的要小，即有k1＜k＜k3，故选：B．【点评】本题主要考查线性规划的应用以及直线斜率之间的关系，比较基础．7．在△ABC中，角A，B，C所对应的边分别为a，b，c，sinC+sin（A﹣B）=3sin2B．若，则=（）A．B．3 C．或3 D．3或【考点】正弦定理；两角和与差的正弦函数；二倍角的正弦．【专题】计算题；解三角形．【分析】根据三角形内角和定理与诱导公式，可得sinC=sin（A+B）=sinAcosB+cosAsinB，代入题中等式并利用三角恒等变换化简，整理得cosB（sinA﹣3sinB）=0，可得cosB=0或sinA=3sinB．再由正弦定理与直角三角形中三角函数的定义加以计算，可得的值．【解答】解：∵A+B=π﹣C，∴sinC=sin（π﹣C）=sin（A+B）=sinAcosB+cosAsinB，又∵sin（A﹣B）=sinAcosB﹣cosAsinB，∴sinC+sin（A﹣B）=3sin2B，即（sinAcosB+cosAsinB）+（sinAcosB﹣cosAsinB）=6sinBcosB，化简得2sinAcosB=6sinBcosB，即cosB（sinA﹣3sinB）=0解之得cosB=0或sinA=3sinB．①若cosB=0，结合B为三角形的内角，可得B=，∵，∴A==，因此sinA=sin=，由三角函数的定义得sinA==；②若sinA=3sinB，由正弦定理得a=3b，所以=3．综上所述，的值为或3．故选：C【点评】本题给出三角形角的三角函数关系式，求边之间的比值．着重考查了三角形内角和定理与诱导公式、三角恒等变换、三角函数的定义和正余弦定理等知识，属于中档题．8．在△ABC中，内角A、B、C的对边分别是a、b、c，若c2=（a﹣b）2+6，△ABC的面积为，则C=（）A．B．C．D．【考点】余弦定理．【专题】解三角形．【分析】由已知和余弦定理可得ab及cosC的方程，再由面积公式可得ab和sinC的方程，由同角三角函数基本关系可解cosC，可得角C【解答】解：由题意可得c2=（a﹣b）2+6=a2+b2﹣2ab+6，由余弦定理可得c2=a2+b2﹣2abcosC，两式联立可得ab（1﹣cosC）=3，再由面积公式可得S=absinC=，∴ab=，代入ab（1﹣cosC）=3可得sinC=（1﹣cosC），再由sin2C+cos2C=1可得3（1﹣cosC）2+cos2C=1，解得cosC=，或cosC=1（舍去），∵C∈（0，π），∴C=，故选：A．【点评】本题考查余弦定理，涉及三角形的面积公式和三角函数的运算，属中档题．9．设等差数列{a n}的前n项和为S n，且满足S100＞0，S101＜0，对任意正整数n，都有|a n|≥|a k|，则k 的值为（）A．49 B．50 C．51 D．52【考点】等差数列的性质．【专题】函数思想；整体思想；综合法；等差数列与等比数列．【分析】由题意和等差数列的性质可得a50+a51＞0；a51＜0，进而可得a50＞0，且|a50|＞|a51|，可得结论．【解答】解：由题意和等差数列的性质可得S100==50（a1+a100）=50（a50+a51）＞0，∴a50+a51＞0；同理S101===101a51＜0，∴a51＜0；∴a50＞0，且|a50|＞|a51|，∴k=51故选：C．【点评】本题考查等差数列的求和公式和性质，整体得出项的正负是解决问题的关键，属中档题．10．已知数列{a n}的前n项和为，令，记数列{b n}的前n项为T n，则T2015=（）A．﹣2011 B．﹣2012 C．﹣2013 D．﹣2014【考点】数列的求和．【专题】等差数列与等比数列；三角函数的图像与性质．【分析】利用“当n=1时，a1=S1．当n≥2时，a n=S n﹣S n﹣1”可得a n，于是=2（n﹣1）•cos．由于函数y=cos的周期T==4．利用周期性和等差数列的前n项和公式即可得出．【解答】解：由数列{a n}的前n项和S n=n2﹣n，当n=1时，a1=S1=1﹣1=0．当n≥2时，a n=S n﹣S n﹣1=n2﹣n﹣[（n﹣1）2﹣（n﹣1）]=2n﹣2．上式对于n=1时也成立．∴a n=2n﹣2．∴=2（n﹣1）•cos．∵函数y=cos的周期T==4．∴T2015=（b1+b5+…+b2009）+（b2+b6+…+b2010）+（b3+b7+…+b2011）+（b4+b8+…+b2012）+b2013+b2014+b2015=0﹣2（1+5+...+2009）+0+2（3+7+ (2011)+4024•cos+4026•cos+4028•cos=4×503+0﹣4026=﹣2014．故选D．【点评】本题考查了利用“当n=1时，a1=S1．当n≥2时，a n=S n﹣S n﹣1”求a n、余弦函数的周期性、等差数列的通项公式与前n项和公式，考查了推理能力和计算能力，属于难题．11．若不等式组的解集不是空集，则实数a的取值范围是（）A．（﹣∞，﹣4]B．[﹣4，+∞）C．[﹣4，20] D．[﹣4，20）【考点】一元二次不等式的解法．【分析】先解不等式：x2﹣2x﹣3≤0，然后a取特殊值验证即可得到答案．【解答】解：解不等式x2﹣2x﹣3≤0得﹣1≤x≤3；观察选项取a=﹣1解不等式x2+4x﹣（1+a）＜0即x2+4x≤0可得﹣4＜x＜0显然A不正确；令a=31不等式x2+4x﹣（1+a）＜0即x2+4x﹣32≤0解得﹣8≤x≤4，仅有B正确．故选B．【点评】选择题的解法非常灵活，一定要观察题干和选项，特殊值一定要特殊．是中档题．12．数列{a n}满足a1=1，=，记S n=a i2a i+12，若S n≤对任意的n（n∈N*）恒成立，则正整数t的最小值为（）A．10 B．9 C．8 D．7【考点】数列与不等式的综合．【专题】转化思想；分析法；等差数列与等比数列；不等式的解法及应用．【分析】先求出数列{a n2}的通项公式，再求S n，注意运用裂项相消求和，以及不等式的性质，可求正整数t的最小值．【解答】解：∵a1=1，=，∴+4=，∴﹣=4，∴{}是首项为1，公差为4的等差数列，∴=4n﹣3，∴a n2=，a n2•a n+12=•=（﹣），∴S n=a i2a i+12=（1﹣+﹣+…+﹣）=（1﹣）＜S n≤对任意的n（n∈N*）恒成立，即为t≥30•=7.5，而t为正整数，所以，t min=8．故选C．【点评】本题考查利用数列的递推式求通项公式及函数的恒成立问题，学会用不等式处理问题．本题对数学思维的要求比较高，要求学生理解“存在”、“恒成立”，属于中档题．二、填空题：本大题有4小题，每小题5分，共20分，把答案填在答卷的相应位置.13．已知x，y满足约束条件，若z=ax+y的最大值为4，则a=2．【考点】简单线性规划．【专题】计算题；函数思想；数形结合法；不等式的解法及应用．【分析】作出不等式组对应的平面区域，利用目标函数的几何意义，利用数形结合确定z的最大值【解答】解：作出不等式组对应的平面区域如图：（阴影部分）．则A（2，0），B（1，1），若z=ax+y过A时取得最大值为4，则2a=4，解得a=2，此时，目标函数为z=2x+y，即y=﹣2x+z，平移直线y=﹣2x+z，当直线经过A（2，0）时，截距最大，此时z最大为4，满足条件，若z=ax+y过B时取得最大值为4，则a+1=4，解得a=3，此时，目标函数为z=3x+y，即y=﹣3x+z，平移直线y=﹣3x+z，当直线经过A（2，0）时，截距最大，此时z最大为6，不满足条件，故a=2；故答案为：2．【点评】本题主要考查线性规划的应用，结合目标函数的几何意义，利用数形结合的数学思想是解决此类问题的基本方法，确定目标函数的斜率关系是解决本题的关键．14．设数列{a n}的前n项和为S n，且a1=1，{S n+na n}为常数列，则a n=．【考点】数列递推式．【专题】计算题；函数思想；数学模型法；等差数列与等比数列．【分析】由已知求出S1+a1=2，可得S n+na n=2，当n≥2时，（n+1）a n=（n﹣1）a n﹣1，然后利用累积法求得a n．【解答】解：∵数列{a n}的前n项和为S n，且a1=1，∴S1+1×a1=1+1=2，∵{S n+na n}为常数列，∴由题意知，S n+na n=2，当n≥2时，S n﹣1+（n﹣1）a n﹣1=2两式作差得（n+1）a n=（n﹣1）a n﹣1，从而=，∴（n≥2），当n=1时上式成立，∴．故答案为：．【点评】本题考查数列的通项公式的求法，训练了累乘法求数列的通项公式，是中档题．15．若数列{a n}满足﹣=0，n∈N*，p为非零常数，则称数列{a n}为“梦想数列”．已知正项数列{}为“梦想数列”，且b1b2b3…b99=299，则b8+b92的最小值是4．【考点】数列递推式．【专题】计算题；转化思想；整体思想；分析法；点列、递归数列与数学归纳法．【分析】由新定义得到数列{b n}为等比数列，然后由等比数列的性质得到b50=2，再利用基本不等式求得b8+b92的最小值．【解答】解：依题意可得b n+1=qb n，则数列{b n}为等比数列．又b1b2b3…b99=299=．则b50=2．∴b 8+b92≥=2b50=4，当且仅当b8=b92，即该数列为常数列时取等号．故答案为：4．【点评】本题是新定义题，考查了等比数列的性质，训练了利用基本不等式求最值，是中档题．16．已知点G是斜△ABC的重心，且AG⊥BG，+=，则实数λ的值为．【考点】正弦定理；余弦定理．【专题】三角函数的求值．【分析】首先根据三角形的重心性质及直角三角形的斜边的中线等于斜边的一半，得到CD=AB，再应用余弦定理推出AC2+BC2=5AB2，将+=应用三角恒等变换公式化简得λ=，然后运用正弦定理和余弦定理，结合前面的结论，即可求出实数λ的值．【解答】解：如图，连接CG，延长交AB于D，由于G为重心，故D为中点，∵AG⊥BG，∴DG=AB，由重心的性质得，CD=3DG，即CD=AB，由余弦定理得，AC2=AD2+CD2﹣2AD•CD•cos∠ADC，BC2=BD2+CD2﹣2BD•CD•cos∠BDC，∵∠ADC+∠BDC=π，AD=BD，∴AC2+BC2=2AD2+2CD2，∴AC2+BC2=AB2+AB2=5AB2，又∵+=，∴+=，则λ=======．故答案为：【点评】此题考查了正弦、余弦定理，三角形的重心性质，熟练掌握定理及公式是解本题的关键．三、解答题：本大题有6题，共70分，解答应写出文字说明、证明过程或演算步骤.17．关于x的不等式ax2+（a﹣2）x﹣2≥0（a∈R）（1）已知不等式的解集为（﹣∞，﹣1]∪[2，+∞），求a的值；（2）解关于x的不等式ax2+（a﹣2）x﹣2≥0．【考点】一元二次不等式的解法；二次函数的性质．【专题】分类讨论；不等式的解法及应用．【分析】（1）根据一元二次不等式与对应方程的关系，利用根与系数的关系，即可求出a的值；（2）讨论a的取值，求出对应不等式的解集即可．【解答】解：（1）∵关于x的不等式ax2+（a﹣2）x﹣2≥0可变形为（ax﹣2）（x+1）≥0，且该不等式的解集为（﹣∞，﹣1]∪[2，+∞），∴a＞0；又不等式对应方程的两个实数根为﹣1和2；∴=2，解得a=1；（2）①a=0时，不等式可化为﹣2x﹣2≥0，它的解集为{x|x≤﹣1}；②a≠0时，不等式可化为（ax﹣2）（x+1）≥0，当a＞0时，原不等式化为（x﹣）（x+1）≥0，它对应的方程的两个实数根为和﹣1，且＞﹣1，∴不等式的解集为{x|x≥或x≤﹣1}；当a＜0时，不等式化为（x﹣）（x+1）≤0，不等式对应方程的两个实数根为和﹣1，在﹣2＜a＜0时，＜﹣1，∴不等式的解集为{x|≤x≤﹣1}；在a=﹣2时，=﹣1，不等式的解集为{x|x=﹣1}；在a＜﹣2时，＞﹣1，不等式的解集为{x|﹣1≤x≤}．综上，a=0时，不等式的解集为{x|x≤﹣1}，a＞0时，不等式的解集为{x|x≥或x≤﹣1}，﹣2＜a＜0时，不等式的解集为{x|≤x≤﹣1}，a=﹣2时，不等式的解集为{x|x=﹣1}，a＜﹣2时，不等式的解集为{x|﹣1≤x≤}．【点评】本题考查了含有字母系数的不等式的解法与应用问题，解题时应用分类讨论的思想，是中档题目．18．设S n是数列[a n}的前n项和，．（1）求{a n}的通项；（2）设b n=，求数列{b n}的前n项和T n．【考点】数列递推式；数列的求和．【专题】计算题．【分析】（1）由条件可得n≥2时，，整理可得，故数列{}是以2为公差的等差数列，其首项为，由此求得s n．再由求出{a n}的通项公式．（2）由（1）知，，用裂项法求出数列{b n}的前n项和T n．【解答】解：（1）∵，∴n≥2时，，展开化简整理得，S n﹣1﹣S n =2S n﹣1S n，∴，∴数列{}是以2为公差的等差数列，其首项为．∴，．由已知条件可得．（2）由于，∴数列{b n}的前n项和，∴．【点评】本题主要考查根据递推关系求数列的通项公式，等差关系的确定，用裂项法对数列进行求和，属于中档题．19．如图，C、D是两个小区所在地，C、D到一条公路AB的垂直距离分别为CA=1km，DB=2km，AB两端之间的距离为6km．（1）如图1，某移动公司将在AB之间找一点P，在P处建造一个信号塔，使得P对A、C的张角与P对B、D的张角相等，试确定点P的位置．（2）如图2，环保部门将在AB之间找一点Q，在Q处建造一个垃圾处理厂，使得Q对C、D所张角最大，试确定点Q的位置．【考点】解三角形的实际应用．【专题】解三角形．【分析】（1）设出PA的长度x，把∠CPA，∠DPB的正切值用含x的代数式表示，由正切值相等求得x的值，即可确定P点的位置；（2）设出PA的长度x，把∠CQA与∠DQB的正切值用含有x的代数式表示，最后把∠CQD的正切值用含有x的代数式表示，换元后再利用基本不等式求最值，最后得到使Q对C、D所张角最大时的x值，即可确定点Q的位置．【解答】解：（1）设PA=x，∠CPA=α，∠DPB=β．依题意有，．由tanα=tanβ，得，解得x=2，故点P应选在距A点2km处；（2）设PA=x，∠CQA=α，∠DQB=β．依题意有，，tan∠CQD=tan[π﹣（α+β）]=﹣tan（α+β）=，令t=x+6，由0＜x＜6，得6＜t＜12，则=，∵，∴，当时，所张的角为钝角，当，即x=时取得最大角，故点Q应选在距A点km处．【点评】本题考查解三角形的实际应用，考查了利用基本不等式求最值，解答的关键是把实际问题转化为数学问题，是中档题．20．在△ABC中，已知sinB=cosAsinC（1）判断△ABC的形状（2）若•=9，又△ABC的面积等于6．求△ABC的三边之长；（3）在（2）的条件下，设P是△ABC（含边界）内一点，P到三边AB，BC，CA的距离分别为d1，d2，d3，求d1+d2+d3的取值范围．【考点】余弦定理；正弦定理．【专题】数形结合；数形结合法；解三角形；不等式的解法及应用．【分析】（1）由题意和三角形的知识可得cosC=0，可得C=90°，△ABC为直角三角形；（2）由数量积的意义可得•=||2=9，可得AC=3，再由三角形的面积公式可得BC=4，由勾股定理可得AB=5；（3）以C为原点，CA、CB所在直线分别为x、y轴建立直角坐标系，设P的坐标为（x，y），可得d1+d2+d3=，且，令x+2y=m，由线性规划的知识可得．【解答】解：（1）∵在△ABC中sinB=cosAsinC，∴sin（A+C）=cosAsinC，∴sinAcosC+cosAsinC=cosAsinC，∴sinAcosC=0，即cosC=0，C=90°，∴△ABC为直角三角形；（2）∵•=||2=9，解得AC=3，又ABC的面积S=×3×BC=6，∴BC=4，由勾股定理可得AB=5；（3）以C为原点，CA、CB所在直线分别为x、y轴建立直角坐标系，则A（3，0），B（0，4），可得直线AB的方程为+=1，即4x+3y﹣12=0，设P的坐标为（x，y），则d1+d2+d3=x+y+，且，∴d1+d2+d3=x+y﹣=，令x+2y=m，由线性规划的知识可知0≤m≤8∴d1+d2+d3的取值范围为[，4]【点评】本题考查解三角形，涉及向量的知识和简单线性规划，数形结合是解决问题的关键，属中档题．21．某个公园有个池塘，其形状为直角△ABC，∠C=90°，AB=2百米，BC=1百米．（1）现在准备养一批供游客观赏的鱼，分别在AB、BC、CA上取点D，E，F，如图（1），使得EF‖AB，EF⊥ED，在△DEF喂食，求△DEF面积S△DEF的最大值；（2）现在准备新建造一个荷塘，分别在AB，BC，CA上取点D，E，F，如图（2），建造△DEF连廊（不考虑宽度）供游客休憩，且使△DEF为正三角形，设求△DEF边长的最小值．【考点】三角形中的几何计算．【专题】计算题；三角函数的求值；解三角形．【分析】（1）设（0＜λ＜1），利用解直角三角形算出EF=2λ百米，再利用EF∥AB算出点D到EF的距离为h=（1﹣λ）百米，从而得到S△DEF=EF•h表示成关于λ的函数式，利用基本不等式求最值即可算出△DEF面积S△DEF的最大值；（2）设正三角形DEF的边长为a、∠CEF=α且∠EDB=∠1，将CF和AF用a、α表示出，再用α分别分别表示出∠1和∠ADF，然后利用正弦定理表示a并结合辅角公式化简，利用正弦函数的值域即可求得a的最小值．【解答】解：（1）Rt△ABC中，∠C=90°，AB=2百米，BC=1百米．∴cosB=，可得B=60°∵EF∥AB，∴∠CEF=∠B=60°设（0＜λ＜1），则CE=λCB=λ百米，Rt△CEF中，EF=2CE=2λ百米，C到FE的距离d=CE=λ百米，∵C到AB的距离为BC=百米，∴点D到EF的距离为h=﹣λ=（1﹣λ）百米可得S△DEF=EF•h=λ（1﹣λ）百米2∵λ（1﹣λ）≤[λ+（1﹣λ）]2=，当且仅当时等号成立∴当时，即E为AB中点时，S△DEF的最大值为百米2（2）设正△DEF的边长为a，∠CEF=α则CF=a•sinα，AF=﹣a•sinα设∠EDB=∠1，可得∠1=180°﹣∠B﹣∠DEB=120°﹣∠DEB，α=180°﹣60°﹣∠DEB=120°﹣∠DEB∴∠ADF=180°﹣60°﹣∠1=120°﹣α在△ADF中，=即，化简得a[2sin（120°﹣α）+sinα]=∴a===（其中φ是满足tanφ=的锐角）∴△DEF边长最小值为．【点评】本题在特殊直角三角形中求三角形边长和面积的最值，着重考查了解直角三角形、平行线的性质、正弦定理和三角恒等变换等知识，考查了在实际问题中建立三角函数模型能力，属于中档题．22．已知函数．（1）若对于任意的x∈R，f（x）＞0恒成立，求实数k的取值范围；（2）若f（x）的最小值为﹣2，求实数k的值；（3）若对任意的x1，x2，x3∈R，均存在以f（x1），f（x2），f（x3）为三边长的三角形，求实数k的取值范围．【考点】复合函数的单调性．【专题】综合题；函数的性质及应用．【分析】（1）问题等价于4x+k•2x+1＞0恒成立，分离出参数k后转化为求函数的最值问题即可；（2），令，则，分k＞1，k=1，k＜1三种情况进行讨论求出f（x）的最小值，令其为﹣2即可解得k值；（3）由题意，f（x1）+f（x2）＞f（x3）对任意x1，x2，x3∈R恒成立．当k=1时易判断；当k＞1，k＜1时转化为函数的最值问题解决即可，借助（2）问结论易求函数的最值；【解答】解：（1）因为4x+2x+1＞0，所以f（x）＞0恒成立，等价于4x+k•2x+1＞0恒成立，即k＞﹣2x﹣2﹣x恒成立，因为﹣2x﹣2﹣x=﹣（2x+2﹣x）≤﹣2，当且仅当2x=2﹣x即x=0时取等号，所以k＞﹣2；（2），令，则，当k＞1时，无最小值，舍去；当k=1时，y=1最小值不是﹣2，舍去；当k＜1时，，最小值为，综上所述，k=﹣8．（3）由题意，f（x1）+f（x2）＞f（x3）对任意x1，x2，x3∈R恒成立．当k＞1时，因且，故，即1＜k≤4；当k=1时，f（x1）=f（x2）=f（x3）=1，满足条件；当k＜1时，且，故，解得；综上所述，【点评】本题考查复合函数的单调性、函数恒成立、函数最值等问题，考查转化思想，综合性较强，难度较大．四、附加题：23．（2015秋•福建校级期中）研究数列{x n}的前n项发现：{x n}的各项互不相同，其前i项（1≤i≤n ﹣1）中的最大者记为a i，最后n﹣i项（i≤i≤n﹣1）中的最小者记为b i，记c i=a i﹣b i，此时c1，c2，…c n ，c n﹣1构成等差数列，且c1＞0，证明：x1，x2，x3，…x n﹣1为等差数列．﹣2【考点】等差关系的确定．【专题】证明题；转化思想；转化法；等差数列与等比数列．【分析】依题意，0＜c1＜c2＜…＜c n﹣1，可用反证法证明x1，x2，…，x n﹣1是单调递增数列；再证明x m为数列{x n}中的最小项，从而可求得是x k=c k+x m，问题得证【解答】证明：设c为c1，c2，…c n﹣2，c n﹣1的公差，对1≤i≤n﹣2，因为b i≤b i+1，c＞0，所以a i+1=b i+1+c i+1≥b i+c i+c＞b i+c i=a i，又因为a i+1=max{a i，x i+1}，所以x i+1=a i+1＞a i≥x i．从而x1，x2，…，x n﹣1为递增数列．因为a i=x i（i=1，2，…n﹣1），又因为b1=a1﹣c1＜a1，所以b1＜x1＜x2＜…＜x n﹣1，因此x n=b1．所以b1=b2=…=b n﹣1=x n．所以x i=a i=b i+c i=x n+c i，因此对i=1，2，…，n﹣2都有x i+1﹣x i=c i+1﹣c i=c，即x1，x2，…，x n﹣1是等差数列．【点评】本题考查等差数列，突出考查考查推理论证与抽象思维的能力，考查反证法的应用，属于难题．。

绝密★启用前【百强校】2015-2016学年福建师大附中高二下期末考试生物试卷（带解析）试卷副标题考试范围：xxx ；考试时间：33分钟；命题人：xxx学校:___________姓名：___________班级：___________考号：___________注意事项．1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、选择题（题型注释）1、关于基因控制蛋白质合成的过程，下列叙述正确的是（ ） A ．一个含n 个碱基的DNA 分子，转录的mRNA 分子碱基数是n/2个 B ．细菌的一个基因转录时两条DNA 链可同时作为模板，提高转录效率 C ．DNA 聚合酶和RNA 聚合酶的结合位点分别在DNA 和RNA 上 D ．在细胞周期中，mRNA 的种类和含量均不断发生变化2、现代生物进化理论是在达尔文自然选择学说的基础上发展起来的，对自然选择学说进行了完善和发展，主要表现在（ ） ①变和基因重组产生进化的原材料 ②种群是进化的基本单位 ③自然选择是通过生存斗争实现的 ④自然选择决定生物进化的方向 ⑤生物进化的实质是基因频率的改变⑥隔离导致新物种的形成 ⑦适者生存，不适者被淘汰A ．②④⑤⑥⑦B ．②③④⑥C ．①②⑤⑥D ．①②③⑤⑦3、下图是用集合的方法表示各种概念之间的关系，与图示相符的选项是（ ）4、豌豆花的颜色受两对基因P/p 和Q/q 控制，这两对基因遵循自由组合规律。

假设每一对基因中至少有一个显性基因时，花的颜色为紫色，其他的基因组合则为白色。

依据下列杂交结果，P:紫花×白花→F 1:3/8紫花、5/8白花，推测亲代的基因型应该是（ ） A ．PPQq×ppqq B ．PPqq×Ppqq C ．PpQq×ppqq D ．PpQq×Ppqq5、下图是甲、乙两种生物的体细胞内染色体情况示意图，则甲、乙两种生物体细胞的基因型可依次表示为（ ）A ．甲：AaBb 乙：AAaBbbB ．甲：AaaaBBbb 乙：AaBBC ．甲：AAaaBbbb 乙：AaaBBbD ．甲：AaaBbb 乙：AAaaBbbb6、下列关于生物进化和生物多样性的表述中正确的一项是（ ） A ．一个物种的灭绝，会影响到若干其他物种的进化 B ．物种之间的共同进化都是通过物种之间的生存斗争实现的 C ．生物多样性的形成也就是新的物种不断形成的过程 D ．生物多样性指基因多样性、物种多样性和生物群落多样性7、下列不属于生殖隔离实例的是（ ）A ．雄萤火虫给雌虫发出各自特有的闪光求偶信号，雌虫对异种雄虫发出的信号无反应B ．牛蛙的卵和豹蛙的精子能融合成合子，发育一段时间后死亡C ．玉米的花柱很长，拟蜀属植物的花粉在玉米柱头上能萌发，但不能到达子房D ．特纳氏综合症患者缺少了一条X 染色体，性腺发育不良，没有生育能力8、下列与染色体变异有关的说法中不正确的是（ ） A ．染色体变异包括染色体结构的改变和染色体数目的改变 B ．两条染色体相互交换片段都属于染色体变异C ．猫叫综合征的患者与正常人相比，第5号染色体发生部分缺失D ．染色体结构的改变，会使排列在染色体上的基因的数目或排列顺序发生改变9、下图表示科学家对果蝇一条染色体上的基因测定结果，下列有关该图说法正确的是（ ）A ．控制朱红眼与深红眼的基因是等位基因B ．控制白眼和朱红眼的基因在遗传时遵循基因的分离定律C ．该染色体上的基因在后代中都能表达D ．该染色体上的基因呈线性排列10、用32P 标记的噬菌体侵染大肠杆菌，经培养、搅拌、离心、检测，上清液的放射性占15%，沉淀物的放射性占85%。

绝密★启用前【百强校】2015-2016学年福建师大附中高二下期末数学（理）试卷（带解析）试卷副标题考试范围：xxx ；考试时间：154分钟；命题人：xxx学校:___________姓名：___________班级：___________考号：___________注意事项．1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、选择题（题型注释）1、若,则（ ）A ．B ．C ．D ．2、如图，电路中共有个电阻与一个电灯，若灯不亮，则因电阻断路的可能性的种数为（ ）A ．B ．C ．D ．3、若多项式，则的值为（ ） A ．B ．C ．D ．4、将位同学分别保送到北京大学，清华大学，浙江大学等三所大学就读，则每所大学至少保送一人的概率为（ ）A ．B ．C ．D ．5、对任意实数恒成立，则实数的取值范围为（ ）A ．B ．C ．D ．6、的展开式中含项的系数为（ ）A ．B ．C ．D ．7、的展开式中和的系数相等，则（ ）A ．B ．C ．D ．8、从中不放回地依次取个数，事件表示“第次取到的是奇数”，事件表示“第次取到的是奇数”，则（ ）A ．B ．C ．D ．9、学校要选派名爱好摄影的同学中的名参加校外摄影小组的期培训（每期只派名），由于时间上的冲突，甲、乙两位同学都不能参加第期培训，则不同的选派方式有（ ）A ．种B ．种C ．种 D ．种10、在4次的独立重复试验中，事件在一次试验中发生的概率为，则事件恰有1次发生的概率是（）A． B． C． D．11、直线的参数方程可以是（）A．（为参数）B．（为参数）C．（为参数）D．（为参数）12、已知随机变量服从正态分布，且，则（）A． B． C． D．○…第II卷（非选择题）二、填空题（题型注释）13、已知（，且），通过变式可以得到：；若将赋给，又可得到；由已知也可得到：.请根据以上材料所蕴含的数学思想方法与结论，计算：.14、在平面直角坐标系中，曲线的参数方程为：（为参数），直线的方程为．已知点为曲线上任意一点，则点到直线的距离的最大值是 .15、设的展开式的二项式系数和为64，则展开式中常数项为 .16、已知随机变量的分布列如下表，且，则的值为 .三、解答题（题型注释）17、为评估设备生产某种零件的性能，从设备生产零件的流水线上随机抽取100件零件做为样本，测量其直径后，整理得到下表：经计算，样本的平均值，标准差，以频率值作为概率的估计值．（Ⅰ）为评判一台设备的性能，从该设备加工的零件中任意抽取一件，记其直径为，并根据以下不等式进行评判（表示相应事件的频率）；①； ②； ③．评判规则为：若同时满足上述三个不等式，则设备等级为甲；仅满足其中两个，则等级为乙，若仅满足其中一个，则等级为丙；若全部不满足，则等级为丁．试判断设备的性能等级．（Ⅱ）将直径小于等于或直径大于的零件认为是次品.（ⅰ）从设备的生产流水线上随意抽取2件零件，计算其中次品个数的数学期望；（ⅱ）从样本中随意抽取2件零件，计算其中次品个数的数学期望．18、已知2件次品和3件正品混放在一起，现需要通过检测将其区分，每次随机检测一件产品，检测后不放回，直到检测出2件次品或者检测出3件正品时检测结束. （Ⅰ）求第一次检测出的是次品且第二次检测出的是正品的概率； （Ⅱ）已知每检测一件产品需要费用100元，设表示直到检测出2件次品或者检测出3件正品时所需要的检测费用（单位：元），求的分布列和数学期望.19、已知曲线的极坐标方程是．以极点为平面直角坐标系的原点,极轴为轴的正半轴,建立平面直角坐标系,直线的参数方程是（为参数）．（Ⅰ）将曲线的极坐标方程化为直角坐标方程；（Ⅱ）若直线与曲线相交于、两点,且,求直线的倾斜角的值．20、已知（Ⅰ）求不等式的解集；（Ⅱ）设为正实数，且，求证：21、近年空气质量逐步恶化，出现雾霾天气的现象增多，大气污染危害加重，大气污染可引起心悸、呼吸困难等心肺疾病.为了解某市心肺疾病是否与性别有关，某医院随机地对入院的50人进行了问卷调查，得到如下的列联表. 已知在全部50人中随机抽取1人，抽到患心肺疾病的人的概率为 （Ⅰ）请将列联表补充完整； （Ⅱ）是否有的把握认为患心肺疾病与性别有关？说明你的理由.附：．（Ⅲ）已知在患心肺疾病的10位女性中，有3位又患有胃病，现从患心肺疾病的10位女性中，选出3位进行胃病检查，求至少有1位患有胃病的概率.22、某种产品的广告费支出与销售额（单位：万元）之间有如下对应数据：（Ⅰ）求关于的线性回归方程；（Ⅱ）据此估计广告费支出为10万元时，所得的销售额.（参考数据：，参考公式：回归直线方程，其中）参考答案1、A2、D3、A4、B5、C6、A7、B8、D9、D10、C11、C12、B13、14、15、16、17、（I）丙；（ⅰ）；（ⅱ）18、（Ⅰ）；（Ⅱ）19、（Ⅰ）；（Ⅱ）或20、（Ⅰ）；（Ⅱ）证明详见解析．21、（Ⅰ）列联表见解析；；（Ⅱ）有%的把握认为患心肺疾病与性别有关；（Ⅲ）分布列见解析，22、（I）；（II）【解析】1、试题分析：对两边求导，可得，取，得.考点：导数的应用.【思路点睛】本体主要考查利用导数以及赋值法解决二项式问题，本题在解答过程中要注意，切不可用二项式定理的公式解决；首先注意到要求的结果，根据，对两边求导数，即可得到要求的形式，然后再利用赋值法即可求出结果.2、试题分析：每个电阻都有断路与通路两种状态，图中从上到下的三条支线路，分别记为支线，支线中至少有一个电阻断路情况都有种；支线中至少有一个电阻断路的情况有种，每条支线至少有一个电阻断路，灯就不亮，因此灯不亮的情况共有种情况.考点：分布计算原理.【思路点睛】每个电阻都有断路与通路两种情况，图中从上到下有3条支线，分别记为a、b、c，支线a、b中，至少有一个电阻断路的情况有3种，c中至少有一个电阻断路的情况有23-1=7种，再根据分步计数原理求得结果．3、试题分析：∵，在的展开式中，含的项为，∴．故选C．考点：二项式定理.4、试题分析：先将个人分成三组,或,分组方法有中,再将三组全排列有种,故总的方法数有种.又将位同学分别保送到北京大学，清华大学，浙江大学等三所大学就读，共有种，所以满足题意的概率为.考点：1.1排列组合；2.古典概型.【方法点晴】平均分成的组,不管它们的顺序如何,都是一种情况,所以分组后一定要除以其中为均分的组数,这是为了避免重复计数.非平均分组问题无分配对象，只要按比例分完，再用乘法计数原理来计算.非平均分组有分配对象，要把组数当作元素个数再做排列.分组问题和分配问题是有区别的，前者组与组之间只要元素个数相同是不区分的；而后者即使组元素个数相同，但因对象不同，仍然是可区分的.对于后者必须先分组后排列.5、试题分析：令，当时，，当时，当时，，所以，所以要使得不等式对任意实数恒成立；只要即可，∴或,故选C.考点：一元二次不等式的应用．6、试题分析：∵，故展开式中含项的系数为．考点：二项式定理的应用．7、试题分析：二项式展开式的通项为∴展开式中和的系数分别是∴，解得.故选B．考点：二项式定理.8、试题分析：由题意，，∴，故选D．考点：条件概率与独立事件．9、试题分析：派学生参加第1期培训的方法有种，派学生参加其余2期培训的方法有种，由分步计数原理可得不同的选派方式有种，故选D．考点：排列、组合及简单计数问题．10、试题分析：独立重复试验的性质可知，事件恰有1次发生的概率是.考点：独立重复试验.11、试题分析：根据题意，由于直线，则可知斜率为2，那么通过，消去参数t，可知选项A中，x，选项B，,选项D, ,可知范围不成立，故可知答案为C.考点：直线的参数方程．12、试题分析：随机变量ξ服从正态分布，∴曲线关于对称，∴，故选：B．考点：正态分布曲线的特点及曲线所表示的意义．13、试题分析：由，得，，所以.考点：1、二项式定理；2、合情与演绎推理．【知识点睛】归纳推理和类比推理是常用的合情推理，从推理形式上看，归纳是由部分到整体、个别到一般的推理；类比是由特殊到特殊的推理；而演绎推理是由一般到特殊的推理．从推理所得的结论来看，合情推理的结论不一定正确，有待进一步证明；演绎推理在大前提、小前提和推理形式都正确的前提下，得到的结论是正确的．14、试题分析：由点到直线的距离公式可得，点到直线的距离为，其中，所以当时，点到直线的距离的最大值是.考点：参数方程.【思路点睛】由点到直线的距离公式可得，点到直线的距离为，然后再根据三角恒等变换，化简可得其中，再根据三角函数的性质，即可求出结果.15、试题分析：由二项式系数的性质，可得，解可得，；的展开式为，令，可得，则展开式中常数项为15．考点：二项式定理.16、试题分析：由表格得到，．考点：离散型随机变量的期望与方差．17、试题分析：（I）利用条件，可得设备的数据仅满足一个不等式，即可得出结论；（II）易已知样本中次品共件，可轨迹设备生产零件的次品率为，（ⅰ）由题意可知，于是；（ⅱ）确定的取值，求出相应的概率，即可求出其中次品个数的数学期望．试题解析：解：（Ⅰ），，，因为设备的数据仅满足一个不等式，故其性能等级为丙；（Ⅱ）易知样本中次品共6件，可估计设备生产零件的次品率为0.06．（ⅰ）由题意可知，于是；（ⅱ）由题意可知的分布列为故．考点：正态分布曲线的特点及曲线所表示的意义．18、试题分析：（1）求古典概型概率，先确定两次检测基本事件个数：，再确定第一次检测出的是次品且第二次检测出的是正品的基本事件个数，从而得所求事件概率为（2）先确定随机变量：最少两次（两次皆为次品），最多四次（前三次两次正品，一次次品），三次情况较多，可利用补集求其概率，列出分布列，最后根据数学期望公式求期望试题解析：解:（Ⅰ）记“第一次检测出的是次品且第二次检测出的是正品”为事件，（Ⅱ）的可能取值为200,300,400（或）故的分布列为考点：1.古典概型概率；2.分布列和数学期望.【方法点睛】（1）求随机变量的分布列的主要步骤：一是明确随机变量的取值，并确定随机变量服从何种概率分布；二是求每一个随机变量取值的概率，三是列成表格；（2）求出分布列后注意运用分布列的两条性质检验所求的分布列是否正确；（3）求解离散随机变量分布列和方差，首先要理解问题的关键，其次要准确无误的找出随机变量的所有可能值，计算出相对应的概率，写成随机变量的分布列，正确运用均值、方差公式进行计算.19、试题分析：（Ⅰ）两边同时成以，再根据，即可将曲线的极坐标方程化为直角坐标方程；（Ⅱ）将直线参数方程代入圆的直角坐标方程中，利用直线参数方程的几何意义求出弦长等于解出即可.试题解析：解：（Ⅰ）由，得.（Ⅱ）将代入圆的方程得，化简得设两点对应的参数分别为，则，∴，∴，，或考点：考点：1、极坐标方程化为直角坐标方程；2、直线参数的几何意义.【方法点睛】1．极坐标方程化直角坐标方程，一般通过两边同时平方，两边同时乘以ρ等方式，构造或凑配，再利用互化公式转化．常见互化公式有等．2．参数方程化普通方程，关键是消参，常见消参方式有：代入法，两式相加、减，两式相乘除，方程两边同时平方等．3．若直线与曲线相交于，直线的斜率为，联立直线与曲线的方程，消去，再利用韦达定理将及的值整体代入弦长公式中即可达到目的，此思路体现了“设而不求”的思想．20、试题分析：本题主要考查绝对值不等式的解法、均值不等式等基础知识，考查学生的分析问题解决问题的能力、转化能力、计算能力．第一问，利用零点分段法去掉绝对值符号，转化为不等式组，解出x的范围；第二问，由，所以，平方得（*），利用均值不等式得、、，相加得：，代入（*）中得到结论．试题解析：（Ⅰ）不等式等价于不等式组或，或，解不等式组，得或或，所以不等式的解集为．（Ⅱ）证明：∵，∴，∵为正实数，∴由均值不等式，得（当且仅当时取等号），（当且仅当时取等号），（当且仅当时取等号），∴（当且仅当时取等号），∴，∴（当且仅当时取等号）．考点：绝对值不等式的解法、均值不等式．21、试题分析：（Ⅰ）根据在全部50人中随机抽取1人抽到患心肺疾病的概率为，可得患心肺疾病的人数，即可得到列联表；（Ⅱ）利用公式求得，与临界值比较，即可得到结论．（Ⅲ）在患心肺疾病的10位女性中，有3位又患有胃病，记选出患胃病的女性人数为，则服从超几何分布，即可得到的分布列、数学期望以及方差．试题解析：解：（Ⅰ）根据在全部50人中随机抽取1人抽到患心肺疾病生的概率为，可得患心肺疾病的为30人，故可得,列联表补充如下（Ⅱ）因为的观测值≈8.333，又P（）=0.005=0.5%，所以，我们有99.5%的把握认为是否患心肺疾病是与性别有关系的．（Ⅲ）从患心肺疾病的10位女性中，选出3位进行胃病检查，至少有1位患有胃病的概率考点：独立性检验的应用．22、试题分析：（I）根据公式求回归方程，要求出的值，代入公式即可；（II）令代入回归直线方程即可求得销售额的值.试题解析：解：（Ⅰ），又已知，于是可得：因此，所求回归直线方程为：（Ⅱ）根据上面求得的回归直线方程，当广告费支出为10万元时，（万元）即这种产品的销售收入大约为82.5万元.考点：回归直线方程.。

绝密★启用前【百强校】2015-2016学年福建师大附中高二下期末文科数学试卷（带解析）试卷副标题考试范围：xxx ；考试时间：149分钟；命题人：xxx学校:___________姓名：___________班级：___________考号：___________注意事项．1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、选择题（题型注释）1、方程有且仅有两个不同的实数解，则以下结论正确的为 A ． B ．C ．D ．2、若关于的不等式有实数解，则实数的取值范围为A ．B ．C ．D ．3、函数（且）的图象可能为4、已知直线是的切线，则的值是（ ）A ．B ．C ．D ．5、将函数的图象向右平移个单位后得到函数，则函数A ．在区间上单调递减B ．在区间上单调递增C ．在区间上单调递减D ．在区间上单调递增6、在参数方程（,t 为参数）所表示的曲线上有B 、C 两点，它们对应的参数值分别为，则线段BC 的中点M 对应的参数值是A ．B ．C ．D ．7、函数的部分图像如图所示，则A ．B ．C ．D ．8、函数的定义域是A ．B ．C ．D ．A． B． C． D．10、参数方程（t为参数）表示什么曲线A．一条直线 B．一个半圆 C．一条射线 D．一个圆11、若，则下列结论不正确的是A． B． C． D．12、A． B． C． D．第II 卷（非选择题）二、填空题（题型注释）13、已知函数有两个极值点,则实数的取值范围是 ．14、若＝ ．15、在极坐标系中，经过点且与极轴垂直的直线的极坐标方程为 ．16、设，角的终边经过点，则=__________．三、解答题（题型注释）17、已知函数，其中，为自然对数的底数．（Ⅰ）求函数的单调区间；（Ⅱ）当时，，求实数的取值范围．18、设函数（Ⅰ）若，解不等式；（Ⅱ）记函数的值域为，若，求的取值范围．19、某同学在一次研究性学习中发现，以下五个式子的值都等于同一个常数．（Ⅰ）试从上述五个式子中选择一个，求出这个常数；（Ⅱ）根据（Ⅰ）的计算结果，将该同学的发现推广为三角恒等式，并证明你的结论．20、已知．（Ⅰ）求的最小值及此时的取值集合；（Ⅱ）将的图象向左平移个单位后所得图象关于原点对称，求的最小值．21、平面直角坐标系中，曲线．直线经过点，且倾斜角为．为极点，以轴正半轴为极轴，建立极坐标系．（Ⅰ）写出曲线的极坐标方程与直线的参数方程；（Ⅱ）若直线与曲线相交于两点，且，求实数的值．22、已知．（Ⅰ）求的值；（Ⅱ）若，求的值．参考答案1、B2、A3、D4、C5、D6、B7、A8、C9、B10、C11、C12、D13、14、15、16、17、（Ⅰ）详见解析；（Ⅱ）18、（Ⅰ）；（Ⅱ）19、（Ⅰ）；（Ⅱ）20、（Ⅰ）；（Ⅱ）21、（Ⅰ），（为参数）；（Ⅱ）或22、（Ⅰ）；（Ⅱ）【解析】1、试题分析：依题意可知（不能等于0）令，然后分别做出两个函数的图象．因为原方程有且只有两个解，所以与仅有两个交点，而且第二个交点是和相切的点，即点为切点，因为，所以切线的斜率．而且点在切线上．于是将点代入切线方程可得：．故选B．考点：1．正弦函数的图象；2．数形结合．【思路点睛】本题是中档题，考查数形结合的思想，函数图象的交点，就是方程的根，注意：的图象只有轴右半部分和轴上半部分，且原点处没有值（因为不等于）；的图象是过原点的一条直线．由题意构造函数，然后分别做出两个函数的图象，利用图象和导数求出切点的坐标以及斜率，即可得到选项．2、试题分析：∵，∴，由不等式有实数解，知，解得．考点：绝对值不等式．【思路点睛】本题考查绝对值不等式、有关绝对值不等式恒成立的问题．利用大于的最小值，求出实数的取值范围是关键．根据绝对值不等式，求出的最小值等于，从而有大于的最小值，列出不等关系解出实数的取值范围即得．3、试题分析：,且定义域关于原点对称，所以函数为奇函数，又当时，所以图像可能是D．考点：1．函数奇偶性；2．函数图像．4、试题分析：设切点坐标为，∵曲线，∴，∴①，又∵切点在切线上，∴②，由①②，解得，∴实数的值为．故选C．考点：利用导数研究曲线上某点切线方程．5、试题分析：把函数的图象向右平移个单位长度，得到的图象所对应的函数解析式为：．即．当函数递增时，由，得．取，得．∴所得图象对应的函数在区间上单调递增．故选：D．考点：函数的图象变换．6、试题分析：，对于中点有同理∴线段的中点对应的参数值是，故选B．考点：1．圆的参数方程；2．中点坐标公式．【思路点睛】本题考查圆的参数方程和中点的坐标公式，本题解题的关键是已知圆上的点，写出点对应的参数式，根据两个点在圆上，可以写出两个点对应的坐标，根据中点的坐标公式，表示出中点的坐标，得到要求的中点对应的参数值．7、试题分析：由图象可知，，所以，当时，，故选A．考点：函数的图象．8、试题分析：因为，所以选C．考点：1．函数的定义域；2．正切函数的性质．9、试题分析：因为是第二象限角，且，所以．考点：两角和的正切公式．10、试题分析：，其中它表示端点为的一条射线．考点：直线的参数方程．11、试题分析：，所以，故选项C不正确．考点：不等式的性质．12、试题分析：．考点：任意角的三角函数值．13、试题分析：解：．令，∵函数有两个极值点，则在区间上有两个实数根．，当时，，则函数在区间单调递增，因此在区间上不可能有两个实数根，应舍去．当时，令，解得．令，解得，此时函数单调递增；令，解得，此时函数单调递减．∴当时，函数取得极大值．当趋近于与趋近于时，，要使在区间上有两个实数根，则，解得．∴实数的取值范围是．考点：利用导数研究函数的极值．【思路点睛】．令，由于函数有两个极值点在区间上有两个实数根．．当时，直接验证；当时，利用导数研究函数的单调性可得：当时，函数取得极大值，故要使有两个不同解，只需要，解得即可．14、试题分析：因为，所以，又．考点：三角恒等变换．【思路点睛】因为，所以，又，由此代入数据，即可求出结果．15、试题分析：点的直角坐标为，故过此点且垂直于极轴的直线方程的直角坐标方程为，化为极坐标方程为．考点：简单曲线的极坐标方程．16、试题分析：．考点：任意角的三角函数．17、试题分析：（Ⅰ），令，当，，单增，，，单减；（Ⅱ）令，即恒成立，而，利用导数的性质和零点存在定理，即可求出结果．试题解析：（Ⅰ），令，当，，单增，，，单减；（Ⅱ）令，即恒成立，而，令，∵，在上单调递增，，当时，，在上单调递增，，符合题意；当时，在上单调递减，，与题意不合；当时，为一个单调递增的函数，而，，由零点存在性定理，必存在一个零点，使得，当时，，从而在上单调递减，从而，与题意不合，综上所述：的取值范围为．考点：1．导数在函数单调性中的应用；2．函数的零点存在定理．18、试题分析：（Ⅰ）由于，故，分，和两种情况讨论，即可求出结果；（Ⅱ）分和两种情况，就可以求出结果．试题解析：解：（Ⅰ）由于，故当时，由，得，解得；当时，，得，解得综上，不等式的解集为（Ⅱ）当时，，的值域当，得，解得，又，故当时，，的值域当，得，解得，又，故综上，的取值范围为．考点：绝对值不等式．19、试题分析：（Ⅰ）这是一个利用三角函数公式进行变换化简求值的问题，主要是抓住“角”之间的关系，联想借助降幂公式及逆用两角和与差的正余弦公式可求得结果；（Ⅱ）依据式子的结构特点、角之间的关系，可以得到形如“”的规律．然后利用和第（Ⅰ）问类似的思路进行证明．试题解析：解：（Ⅰ）．（Ⅱ）=．左边[来源:学_科_网]考点：1．数学归纳法；2．归纳推理．【方法点睛】归纳推理一般是先根据个别情况所体现出来的某些相同的规律，然后从这些已知的相同性质规律推出一个明确的一般性规律或性质．此题是一个三角函数式，所以重点抓住角之间的关系，式子的结构特点进行归纳，得出一般性结论．20、试题分析：（Ⅰ），由三角函数的性质即可求出最值；（Ⅱ）图象向右平移个单位后所得图象对应的角析式为其为奇函数，那么图象关于原点对称，故：，，由此即可求出结果．试题解析：（Ⅰ）∴的最小值为-2，此时，，∴的取值集合为：（Ⅱ）图象向右平移个单位后所得图象对应的角析式为其为奇函数，那么图象关于原点对称，故：，∴，所以正数的最小值为．考点：1．三角恒等变换；2．三角函数的性质．【方法点睛】三角函数的一般性质研究：1．周期性：根据公式可求得；2．单调性：令，解出不等式，即可求出函数的单调递增区间；令，解出不等式，即可求出函数的单调递减区间；3．令或，即可求出函数取最大或最小值时的取值集合．21、试题分析：（Ⅰ）曲线．展开为：，把代入可得曲线的极坐标方程．直线的参数方程为：，（为参数）．（Ⅱ）设两点对应的参数分别为．把直线的参数方程圆的方程可得：，利用，可得，解得即可得出．试题解析：（Ⅰ）曲线．展开为：，可得，即曲线的极坐标方程为．直线的参数方程为：，（为参数）．（Ⅱ）设两点对应的参数分别为．把直线的参数方程代入，可得：．，解得或．考点：简单曲线的极坐标方程．22、试题分析：（Ⅰ）①，，化简整理即可求出结果；（Ⅱ）由（Ⅰ）得，，又，，可得，由此即可求出结果．试题解析：（Ⅰ）①，，即，（Ⅱ）由（1）得，又，，②．考点：1．同角的基本关系；2．诱导公式．。

绝密★启用前【百强校】2015-2016学年福建师大附中高一上学期期末英语试卷（带解析）试卷副标题考试范围：xxx ；考试时间：86分钟；命题人：xxx学校:___________姓名：___________班级：___________考号：___________注意事项．1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、阅读理解（题型注释）Everyone has good days and bad days.Sometimes, you feel as if you‟re on top of the world. But occasionally you feel horrible, and you lose things and you cannot focus on your schoolwork.For more than 20 years, scientists have suggested that high self-esteem (自尊) is the key to success. Now, new research shows that focusing just on building self-esteem may not be helpful. In some cases, having high self-esteem can bring bad results if it makes you less likeable or more upset when you fail at something.“Forget about self -esteem,” says Jennifer Crocker, a psychologist (心理学家) at the University of Michigan, US. “It‟s not the important thing.” Feeling good[来源:学科网ZXXK]Crocker‟s advice may sound a bit strange because it is good to feel good abou t yourself. Studies show that people with high self-esteem are less likely to be depressed, anxious, shy, or lonely than those with low self-esteem.试卷第2页，共12页But, after reviewing about 18,000 studies on self-esteem, Roy Baumeister, a psychologist at Florida State University, has found that building up your self-esteem will not necessarily make you a better person.He believes that violent and wicked (邪恶的) people often have the highest self-esteem of all. He also said: “There‟s no evidence that kids with high self -es teem do better in school.” ProblemsAll types of people have problems. People with high self-esteem can have big egos (自我) that can make them less likeable to their peers(同龄人), said Kathleen Vohs, a psychology professor at Columbia University.People with high self-esteem tend to think more of themselves, Vohs says. People with low self-esteem are more likely to rely on their friends when they need help. What to doResearchers say it is best to listen to and support other people. Find positive ways to contribute to society. If you fail at something, try to learn from the experience. “The best therapy (药方) is to recognize your faults,” Vohs says. “It‟s OK to say, …I‟m not so good at that,‟ and then move on.”1、The new research comes to the conclusion that high self-esteem ________. A ．is not important at all B ．may not be the key to success C ．has taken on a different meaning D ．does not help you do better at school2、One of the conclusions of the new research is that ________. A ．people with high esteem tend to be proudB ．people with high esteem usually do not seek other‟s helpC ．feeling good about oneself doesn‟t mean you lead a happier lifeD ．people with low esteem are often more popular3、The underlined part “a better person” in the passage probably means a pers on who is ______. A ．helpful and supportive B ．gentle and modest C ．likable and successful D ．friendly and kind4、From the text, we can infer the best therapy mentioned in the last paragraph is mainly for people ________. A ．of all kindsB．with low self-esteemC．with high self-esteeD．who are focusing on building self-esteemHayao Miyazaki, the 72-year-old Japanese master of fantasy animation (奇幻动画), one of the most respected animation directors in the world, announced his retirement on September 6, after the recent release of his new film The Wind Rises.Miyazaki‟s vision(视野) has remained unique throughout his many films over the past thirty years. The worlds he creates—the valley of the wind, the castle in the sky, and so many—are so special, so attractive. Here are some key words about his films.Good and evil (邪恶) Miyazaki rarely tells stories in simple good and evil. The worlds he creates tend to be complex (复杂的) and unclear. The bad figures often don‟t seem so bad once you get to know them. Miyazaki has explained that the lack of clear good and evil is because he sees the 21st century as complex time, in which old ideas need to be re-examined, even in children‟s films.Children The heroes in Miyazaki‟s films are usually children or teens, more often young girls. Sometimes they can see the spirit world; they are curious and friendly, even to strange creatures. The stories often deal with growing up.Sky and water Two of Miyazaki‟s great loves are the sky and water, and he uses them in related ways. Flight is a forever theme—Miyazaki has never done a film without flying of some kind. His imagination seems to fly and leave behind the pull of gravity (重力), a force and control that he feels a bound (束缚) from setting him free. Water is another way for Miyazaki to fight gravity. In his films he likes the unexpected floods with crystal-clear water, and objects floating on the surface seem to be supported by magic.Peace Miyazaki‟s negative view of the war goes far more than surface deep. Violence is usually seen as wrong and painful, and Miyazaki‟s heroes are often peacemakers.5、What can we know about good and evil from Miyazaki‟s films?A．The complex time tends to turn good into evil.B．He uses his films to show good finally defeats evil.C．The figures cannot be simply judged as good or evil.D．Children should learn to clearly tell good from evil.6、Miyazaki‟s love for flight may come from ______.试卷第4页，共12页A ．the relation between sky and waterB ．his hate for gravity since his childhoodC ．his desire to be free from gravityD ．his love for water that can flood the world 7、In Miyazaki‟s films we may NOT see ______. A ．the attractive castle in the sky B ．a world left in ruins in the end C ．objects magically floating on the water D ．children with the problems of growing up 8、The purpose of writing the article is to ______.A ．show the writer‟s sadness for Miyazaki‟s retirement from the animation industryB ．help readers to k now about Miyazaki‟s life and his great achievementsC ．praise Miyazaki‟s contribution to the development of the film industryD ．introduce Miyazaki‟s retirement and the features (特点) of his animation filmsA mother is devastated, crying, yelling all she can in that dark corner. There was nobody tohear her yell and not a soul to calm her, because outside her house is a long winding lonely road.The wind was at rest and the leaves didn't rustle, silence filling the air. Loneliness was alreadykilling her ，but no one knows what made her cry.Losing something you love with all your heart isn't really the pain you can everovercome.Radha lost her baby, her only means to live. She saw her child getting killed and the accidentwas terrible. One lonely night, she was walking down the street to get a breath of fresh air withher child hugged tight in her arms.The whole time she walked with her child in her arms. The only thing that worried her wasAryan's future. She was imagining and feeling every day of the child‟s growt h, and figuringwhat she would have in store for him. But who knows what's in store for us tomorrow? Life canchange in a second.On that deserted road, were a few streetlights barely enough? It was this one light that couldbe seen from a distance, but as it came closer it got brighter and brighter. That lightchangedRadha's life into darkness forever. A speeding car came down that road. The driver came at aspeed of 110 kmph throwing beer bottles out of his half open window. He was definitely drunk,and the speed took everything in its path. Just then, there was a loud cry, andsilence set in again.But the mother wasn‟t hurt. She opened her eyes, unable to focus her eyes, and didn‟t seeAryan. After a few minutes when her sight cleared up she looked all over in a panic for her baby,but alas! ... The child hadn‟t even seen life.Simply, don't drink and drive. You could take a life, but kill a number of people. 9、The word“devastated” in Paragraph 1 would probably mean____________ . A ．worried B ．scaredC ．heart-brokenD ．weather-beaten 10、Which of the following statements is TRUE of Radha? A ．She had expected much of Aryan. B ．She got her eyes injured in the accident. C ．She was hit by one bottle on the arm. D ．She had everything ready for Aryan's future.11、The last sentence underlined implies that __________. A ．drunk driving is absolutely forbidden B ．drunk driving is certain to kill a lot of people C ．the driver killed Aryan and his motherD ．there is more than one victim (受害者) in a car accident 12、What would be the best title for the passage? A ．The Death of a Miserable Child B ．The Price for Another Man's Mistake C ．A Sad Mother on a Windy Night D ．Overspeeding from Drunk Driving二、完形填空（题型注释）完形填空As a hospital volunteer, I call on each assigned AIDS patient at least once a day. I most patients with a gentle hug and a kiss on the cheek.I can usually whether or not a patient is comfortable with this .After my third to Mary, I asked politely. “Would you like a hug and a kiss on your cheek?”试卷第6页，共12页Mary smiled, “Yes, I‟d love one.” I drew back,I noticed a tear working its down one cheek. “What‟s wrong?”I asked.“That‟s the first time anyone has me this way since I was attacked by AIDS. The medical staff (工作人员) touch me, but…” she said between sobs (哭泣). I simply sat beside her ， in silence.A few days later, when I went to see Mary , one of her sons and his wife were visiting. “Good evening, Mary. I see you have , so I‟ll stop back later,”I said, giving her a gentle hug and a kiss. Mary grabbed my right wrist as I turned to . “Wait a minute, Mack. I want you to meet my son, John, and daughter-in-law, Sarah.”During the , her anxious family sat clear across the room Mary‟s bed.Later, when I looked in on her, her visitors were still keeping their distance.The evening, John and Sarah were back again, and the scene itself like a familiar rerun on television. I went in, gave Mary a hug and a kiss, to come back later.When I returned, had changed, John and Sarah were seated in chairs — one on each side of Mary‟s — and they were holding hands.Obviously moved, John said, “I guess nothing to if a stranger can hug and kiss my mother.”13、A ．greet B ．see C ．visit D ．help 14、A ．expect B ．ask C ．sense D ．doubt 15、A ．gesture B ．fashion C ．hope D ．idea 16、A ．greeting B ．apology C ．visit D ．explanation 17、A ．Because B ．Where C ．Although D ．As 18、A ．face B ．eye C ．nose D ．way 19、A ．visited B ．pitied C ．touched D ．eared 20、A ．listening B ．sobbing C ．waiting D ．staring 21、A ．late B ．again C ．last D ．first22、A ．interviews B ．roommates C ．affairs D ．guests 23、A ．speak B ．leave C ．sit D ．stay24、A ．days B ．greetings C ．introductions D ．visits 25、A ．to B ．beside C ．on D ．from26、A ．dangerous B ．near C ．safe D ．different 27、A ．following B ．final C ．previous D ．usual28、A ．expressed B ．discovered C ．searched D ．repeated 29、A ．getting B ．trying C ．promising D ．managing 30、A ．something B ．nothing C ．somebody D ．nobody 31、A ．room B ．bed C ．son D ．daughter-in-law32、A ．take care of B ．be afraid of C ．speak well of D ．be proud of三、单项选择（题型注释）33、 So many floods have cut down on the production of peanuts; _______, the price has gone up a great deal.A ．in other wordsB ．in briefC ．even soD ．as a result34、---Why are you still here? Everybody has gone to attend the lecture by the president. ---Oh, I ___________ about it!A ．wasn‟t informedB ．hadn‟t been informedC ．haven‟t informedD ．didn‟t inform35、 --- Have you heard that Tom was given a good beating by his father last night? --- He ________ it. He was making trouble everywhere all the time. A ．made B ．got C ．deserved D ．gained36、People Who Moved China, hosted by CCTV, honors the people _______ the valuable contributions should be remembered by every Chinese.A ．whoseB ．of whomC ．thatD ．of which37、His son will _________him as chairman of the commission after his retirement. A ．continue B ．succeed C ．follow D ．learn38、Sam _____ some knowledge of the computer just by watching others working on it. A ．picked up B ．looked up C ．brought up D ．set up试卷第8页，共12页39、 I like the music _____ he danced yesterday, which was composed by a famous musician. A ．with which B ．against which C ．to which D ．to that40、The palace caught fire three times in the last century, and little of the original building _____ now.A ．is remainingB ．remainsC ．has been remainedD ．is remained41、Mum pretended ________ what happened yesterday at school, but in fact, she has been told about every detail. A ．not to hear about B ．not to have heard about C ．not to be hearing about D ．to not hear about42、If you miss this chance, it may be years __________ you get another one. A ．after B ．when C ．before D ．since第II卷（非选择题）四、单词拼写（题型注释）根据所给首字母, 写出正确的单词来完成句子。

2018-2019学年福建师大附中高二（上）期末英语试卷第一部分听力（共20 题；每小题 1 分，满分 5 分）第一节听下面 5 段对话．每段对话后有一个小题，从题中所给的 A、 B、 C 三个选项中选出最佳选项，并标在试卷的相应位置．听完每段对话后，你都有10 秒的时间来回答有关小题和阅读下一小题．每段对话仅读一遍．1． Where are the speakers ？A． In a hospital ．B． In a restaurant ．C． In a hotel ．2． What did the man like best about the festival ？A． The rides ．B． Fireworks ．C． Some performers ．3． What did the woman do upstairs ？A． She answered a phone call ．B． She took a rest ．C． She worked on a report ．4． How does the woman feel about the man inviting Mike ？A． Dissatisfied ．B． Pleased ．C． Interested ．5． Why did the woman call her friends ？A． To wake them up ．B． To get help from them ．C． To inform them of a meeting ．第二节听下面 5 段对话或独白．每段对话或独白后有几个小题，从题中所给的A、 B、 C 三个选中选出最佳选项．听每段对话或独白前，你将有时间阅读各个小题，每小题 5 秒钟；听完后各小题将给出 5 秒钟的作答时间．每段对话或独白读两遍．6．（ 1）Why doesn't the man want to go for a picnic？A． The weather is bad．B． It is not fun．C． He is tired．（ 2） Where will the speakers go next？A． To a park．B． To a cinema．C． To a lake．7．（ 1）How many meals does the man usually have on weekends？A． Two．B． Three ．C． Four ．（ 2） What does the man often drink later in the evening？A． Red wine ．B． White wine．C． Beer ．8．（ 1）What does the woman check first ？A． If Flight 721takes off on time ．B． If there is a flight to Alabama on Friday ．C． If there are seats available on Flight 712 ．（ 2） How long does it take to get to Alabama ？A． 2.5hours ．B． 2hours ．C． 1.5hours ．（ 3） What does the man want ？A． A round ﹣ trip ticket．B． A window seat ．C． A first ﹣ class air travel ．9．（ 1）What are the speakers mainly discussing ？A． How to act properly in a lab ．B． Whether to wear safety glasses ．C． What to do before using a lab ．（ 2） Why is the man coming to the lab ？A． To get some protective clothing ．B． To see Professor Kennedy ．C． To do his experiment ．（ 3） What is required according to the woman ？A． Keep gloves clean while in the bathroom ．B． Walk around and check the lab ．C． Wear a lab coat at all times ．（ 4） What could the woman be ？A． A science researcher ．B． A lab technician ．C． A chemistry professor ．10．（ 1） Who is Patrick Millar ？A． A host of Food and Drink Show ．B． A director of the Palace Hotel ．C． A well ﹣ known cook ．（ 2） What did the speaker do first after leaving school ？A． She took a cookery course ．B． She worked in the Palace Hotel ．C． She attended a secretarial college ．（ 3） What is the speaker expected to do for Patrick ？A． Prepare the working lunch ．B． Deal with customers ．C． Collect books ．（ 4） What does the speaker say about her job ？A． She has a lot to do every day ．B． She learns a lot from it ．C． She loves it very much ．第二部分阅读理解（共两节）第一节（共 12 小题；每小题2 分，满分24 分）阅读下列短文，从每题所给的四个选项（A、 B、C、和 D）中，选出最佳选项，并在答题卡上将该项涂黑．On the eve of our daughters' weddings，I gave both of them what I considered to be excellentmarital advice：never leave your husband unsupervised（无人监督的）with pruning shears（修枝剪）．If only I had taken my own advice ． I recently let my guard down． Thirty﹣some years of marriage can do that to a woman． Give a man pruning shears and electric trimmers（电动修剪器）and he will give new meaning to "armed and dangerous．"One day earlier this year，my husband said that the crab apple tree was dead．"Why do you think it is dead？" I asked．"Look at it．There's not a leaf on it．""There's not a leaf on anything．It's March，" I said"It looked sick last fall and with this bitter winter we had，I'm convinced it's dead．"The truth is he's never liked the crabapple．Sure，it has beautiful blooms in the spring，but then it gets a disease，the leaves curl，and it drops those little apples that sit on thedriveway ．Each passing week he pronounced the tree dead．Eventually I began to believe him．Though he agreed it would be a regrettable loss，there was a twinkle in his eye． He armed himself a couple of weeks ago and began trimming ． A branch here ， a branch there ， a small limb ， then a large limb ． I watched and then decided to check the wood on some of the branches closer to the trunk．I broke one off and saw green．The crabapple was not dead．It just hadn't had time to leaf out．The tree was now fallingto one side ， but it was not dead ． I would have told him so， but he had moved on to a maple． Once the man starts，he can't stop．One trim leads to another．"Please ， stop!" I called．He smiled and nodded， but he couldn't hear because he had started the hedge （树篱）trimmers and was getting ready to fix a line of hedges．Zip（飕飕声），zip，zip．"What do you think？" he shouted．"It's supposed to be a privacy hedge；now all that will be private are our ankles．"He started the trimmers again．"Stop!" I called，"Come back!""Why？ " he shouted．"You're in the neighbor's yard ． "1. By saying "If only I had taken my own advice ． " the author means that ．A. she didn't follow her own advice about pruning shears ．B. she feels regretful about her marriage after many years ．C. she shouldn't have kept a close watch on her husband ．D. she shouldn't have given that marital advice to her daughters ．2. We can learn from the article that the author's husband ．A. has a great talent for gardening ．B. nearly ruined their neighbor's garden ．C. mistook their crab apple tree for a maple tree ．D. had never used pruning shears before ．3. What does the article mainly talk about ？A. Why the author's husband insisted on trimming their crabapple tree ．B. Why the author's husband shouldn't have been allowed to trim their crab apple tree ．C. How the author has survived her "thirty ﹣ some" years of marriage ．D. How the author's husband killed their crab apple tree ．4. What is the tone of the article ？A. Anxious ．B. Critical ．C. Serious ．D. Humorous ．【答案】 1.A 2.B 3.B 4.D【解析】本文是一篇记叙文。

2015-2016学年下学期高二年级期末考试（英语）2016.7.11 满分150分；用时120分钟第一部分客观题（满分100分）第一部分：听力（共两节，满30分）第一节（共5小题；每小1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What did the man do last weekend?A. He watched a football match.B. He stayed at home.C. He attended a meeting.2. Why is the man late?A. His car broke down.B. He had his car repaired.C. He missed the bus.3. What kind of journey did Susan make?A. A train journey.B. A ship journey.C. A plane journey.4. What is the man doing now?A. W ashing.B. Reading.C. W atching TV.5. When did the man receive Georgia‘s invitation?A. When the woman told him about the news.B. After he had decided to go to another party.C. After the dinner.第二节（共15小题，每小题1.5分；满分22.5分）听下面5段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

福建师大二附中2015-2016学年第一学期高一年段期末考英语科试卷班级姓名座号准考证号听力第一部分听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面对5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What will the woman do tomorrow?A.Go to a dance partyB.Care for her mother.C.Go to the hospital.2.Where is Jim now?A.In China.B. In the US.C. In France.3.what’s the weather like now?A.CloudyB. Fine.C. Rainy4.What are the two speakers mainly talking about?A.A book.B. The man’s eye.C. The man’s interest5.When will the meeting begin?A.At 2:30pmB. At 3:00pm.C.At 3:30pm第二节（共15小题；每小题1.5分，满分22.5分）听下面对5段对话。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话或独白前，你将有时间阅读各个小题，每题5秒钟；听完后，各小题给出5秒作答时间。

每段对话或独白读两遍。

听第6段材料，回答6，7题6.what does the man most probably want to do?A.Eat at a restaurant.B. Watch a movieC. Go to a hotel.7.How far is it from the hotel to the white building?A. A five-minute walkB. A ten-minute walkC. A fifteen-minute walk听第7段材料，回答8，9题8.How often does the newspaper come out?A. Every day.B. Once a weekC. Twice a week9.What kind of movies does the man like watching the most?A.Horror moviesB. Funny moviesC. Science fictions听第8段材料，回答10至12题10.How does the woman go to work now?A. By busB. By subwayC. By bike11.What does the man think of cares?A. ConvenientB. UnnecessaryC. Bad for environment12.How does the man r eact to the woman’s advice?A.He wants to follow itB.He is very disappointedC.He is really surprised.听第9段材料，回答13至16题13.Why does the woman to to Bath?A. To visit relatives.B. To do sightseeingC. To learn about history14.What do we know about the Jane Austen Centre?A.Jane Austen once lived there.B.It’s the most famous place in BathC.Two of Jane Austen’s books were set there.15.Why has the woman booked tickets?A. To save time.B. To save money.C. To avoid ticket shortage.16.What’s the man’s plan for the summer?A.To travel to Oxford.B. To go with the woman.C. To visit tea houses. 听第10段材料，回答17至20题17.Wehn may they enter the Forbidden City on October 10th?A. At 7:00am.B. At 7:30am.C. At 7:45am.18.What will they do on the night of October11th?A. Watch showsB. Go shoppingC. Walk around the city19.What will they do next?A.Go to their hotel.B. Go to a restaurantC. Go to Tian’anmen Square.20.Who is the speaker speaking to?A.Some Chinese touristsB.Some American touristsC.Some Chinese students.第二部分: 阅读理解(30%)AOne evening after dinner, Mr. and Mrs. Tisich called a family meeting. “We’ve had to make a difficult decision,” Mr. Tisich announced. “You see, your mother has been offered a post as co-director of a television station in Chicago. Unfortunately, the station is not here. After thinking long and hard about it, we’ve concluded that t he right decision is to move to Chicago.”Marc looked shocked, while his sister Rachel breathlessly started asking when they’d be moving. “It’s surprising, but exciting!” she said. Marc simply said, “We can’t go—I can’t leave all my friends. I’d rather stay here and live with Tommy Lyons!”The Tisichs hoped that by the time they moved in August, Marc would grow more accustomed to the idea of leaving. However, he showed no signs of accepting the news, refusing to pack his belongings.When the morning of the move arrived, Marc was nowhere to be found. His parents called Tommy Lyons’ house, but Mrs. Lyons said she hadn’t seen Marc. Mrs. Tisich became increasingly concerned, while her husband felt angry with their son for behaving so irresponsibly. What they did n’t know was that Marc had started walking over to Tommy’s house, with a faint idea of hiding in Lyons’ attic(阁楼) for a few days. But something happened on the way as Marc walked past all the familiar landscape of the neighborhood: the fence that he and his mother painted, the tree that he and his sister used to climb, the park where he and his father often took evening walks together. How much would these m ean without his family, who make them special in the first place? Marc didn’t take the time to answe r that question but instead hurried back to his house, wondering if there were any moving cartons(纸板箱)the right size to hold his record collection.21. The conflict in this story was caused by___________.A. Marc and Rachel’s different tempersB. a quarrel between Tommy Lyons and MarcC. Marc’s disagreement with his parents about their moveD. Mr. and Mrs. Tisich’s remark of Marc’s irresponsibility22. Marc and Rachel’s reactions to the move were similar in the way that both were____________A. surprisedB. angry and upsetC. anxious for more detailsD. worried about packing23. The reason for Marc’s going home was that _________________.A. he did not want to be left behindB. he realized his family was essential to himC. he hoped to reach an agreement with his parentsD. he wished to be a more responsible person24. What would most likely happen next?A. Marc would bring his records over to the Lyons’s house.B. Mr. and Mrs. Tisich would call the police.C. Marc would join his family for house moving.D. Mr. and Mrs. Tisich would start searching for MarcBStudents in many countries are learning English. Some of these students are small children. Others are teenagers. Many are adults. Some learn at school, others learn by themselves.A few learn English over the radio, on TV, or in film. One must work hard to learn another language.Why do all these people want to learn English? It is difficult to answer this question. Many boys and girls learn English at school because it is one of their subjects r equired for study. They study their own language and maths and English. Some people learn it because it is useful for their work. Many people learn English for their higher studies, because at college or university some of their books are in English. Other people learn Englishbecause they want to read newspaper or magazines in English.25.People learn English _________.A．at school B．over the radio C．on TV D．not all in the same way26.Different kinds of people want to learn English __________.A．together with other subjects B．for different reasonsC．for their work D．for higher studies at college27.From this passage we know that _________.A．we can learn English easilyB．English is very difficult to learnC．English is learned by most people in the worldD．English is a useful language but one must work hard to learn28.Which of the following is right?A．we don’t need to learn any foreign languages.B．we can do well in all our work without English.C．English is the most important subject in school.D．we should learn English because we need to face the world.CThe US company iRobot made a new kind of sub-marine (潜水艇), called the Seaglider, last week.The robotic submarine was developed by re-searchers at the University of Washington. It is about 1.8 meters long and weighs about 52 kilograms. It moves through water at a speed of up to 20-25 kilo-meters a day and can stay at sea for up to six months before needing a battery recharged. This special character results from its special propulsion system (动力系统). Unlike a traditional submarine, the Seaglider does not have a propeller (螺旋桨). It has an air tank that is emptied and filled to adjust (调整) depth, as well as a pair of wings that help to guide and lead the submarine.A traditional submarine, on the other hand, “puts water inside tanks to make it heavier, or it will expel (排出) the water to make it lighter,” explained Frederick, a professor at the University of Washington.Each time the Seaglider comes to the surface, it sends the data which it collects toits controllers by satellite. Operators can also send the submarine new information. For example, they can change its course in their office through giving the computer orders.Seagliders are already being used for scientific re-search, such as environmental studies. iRobot also hopes to sell the submarine to the military (军队). At $100,000 each, the Seaglider is a cheap way to keep an eye on the ocean.“These things can go out there and monitor (监控) large areas of ocean because they’re very persistent. They can go for thousands of miles on their own. At the same time, you can tell them to stay in one place and they can circle,” says Helen Greiner, chairwoman of iRobot. “This is science fiction stuff in many ways, but it’s really o ut there and working.”29. Unlike a traditional submarine, the Seaglider _____.A. is only 1.8 meters long and weighs 52 kilogramsB. has an air tank to adjust depth instead of a propellerC. can travel at a speed of 150 kilometers a dayD. can be used to do environmental research30. When the Seaglider comes to the surface, it will _____.A. change its batteryB. force out a lot of waterC. send the data to its controllersD. stay in one place31. Nowadays, the Seaglider is being used only _____.A. by the militaryB. in scientific researchC. by the governmentD. in science fiction32. It can be inferred from the passage that the Seaglider _____.A. is not driven by a human beingB. doesn’t need a battery rechargedC. doesn’t have a long lifeD. can change its course itselfD“I don’t like my parents. They always tell me I should do this, and should not do that. It sometimes makes me angry,” said Li Ping, a m iddle school student in Hunan. Do you have the same problem? Perhaps your parents had the same problem when they were your age long ago. Why does it seem that some parents are not so friendly in their children’s eyes?One of the biggest things is when someone becomes a parent, he / she likes worrying things. They worry about everything about you, from the time you were born. They do a lot for you, though something would make you angry, because they care about you and worry about you. They worry about your choice of friends, the food you eat, your work at school, how much sleep you get, etc. All these things are part of your life. They want you to grow up healthily and happily.So how can you make things easier on yourself? It’s easier than you think. Just m ake sure your parents know what you’re doing. Get them to know your friends. Phone if you stay somewhere else so that your parents don’t call every hospital in the phone book looking for your body. Say sorry to them when you make mistakes. Take responsibility (责任) for what you have done. Talk about your ideas with them. They may talk about theirs with you.Most of all, try to think about why your parents do this or do that. They are still practicing being parents and need help you can give them. Someday, when you become a parent, they may be able to help you know how to get on with your children.33. What does the writer think we should do if we go back home later than usual? We should ________.A. tell our friendsB. tell the teacherC. say sorry to our parentsD. make a telephone call to our parents34. The writer thinks ________.A. it’s wrong of parents to worry about their children too muchB. some parents are unfriendly, which makes their children angryC. children should do everything as their parents sayD. parents love their children very much and the children should understand them35. Which do you think is the best title for the passage?A. Parents’ ResponsibilityB. How to Get on with ParentsC. Zhang Hua’s ProblemD. What Are Parents Worrying about .第三部分：完形填空(30%)The day before Father’s Day, Mrs. Berry asked her students to make a card for theirfathers. She passed out paper and pieces of cloth.Elizabeth looked for a while at the blue cloth and began to cut it. Then she 36 her paper in half and began writing. When Elizabeth finally looked at the message the teacher gave on the paper, she noticed something else. She felt her 37 grow hot —she hadn’t heard that anyone who didn’t have a father could make one for a grandfather or an uncle.As her teacher walked to her, E lizabeth tried 38 her card with her arm, but Mrs. Berry gently 39 it so that she could read it. Elizabeth sat 40, waiting for her to say something, but she saw a 41 roll down Mrs. Berry’s face. She had never made Mrs. Berry so ups et.When school was over, Elizabeth 42 until all the other kids left so that she could 43 . “I’m sorry for not listening. I’ll make another card 44 you want. I’ll do it 45 and bring it tomorrow.”“ 46 are you talking about?” asked Mrs. Berry.“My Father’s Day card. I know you’re upset be-cause I didn’t do it 47 .”“Elizabeth, that was the 48 card in the whole class. It was so 49 that it made me cry.”Elizabeth was so 50 that she ran out of the class-room.When her mom came home from work that night, Elizabeth 51 to give her the card early.On the front of the card was a 52 of Elizabeth’s mom, with a blue piece of cloth cut like her hair. In-side the card she had written:Dear Mom,I know you work really hard to be both a mommy and a(n) 53 . I want to thank you and54 you a happy Father’s Day!Love,ElizabethWhen her mom read the card she started 55 , just like Mrs. Berry did.36. A. cut B. tore C. spread D. folded37. A. heart B. face C. hands D. body38. A. covering B. holding C. doing D. making39. A. caught B. left C. lifted D. placed40. A. alone B. still C. up D. down41. A. tear B. smile C. hair D. sweat42. A. worked B. waited C. stood D. sat43. A. apologize B. stop C. understand D. stay44. A. because B. until C. unless D. if45. A. just here B. at once C. at home D. at school46. A. Who B. Whose C. Which D. What47. A. carefully B. quickly C. wrong D. right48. A. worst B. best C. favorite D. simplest49. A. wild B. useful C. sweet D. hard50. A. happy B. regretful C. brave D. rude51. A. seemed B. decided C. refused D. promised52. A. recording B. discovery C. drawing D. writing53. A. teacher B. sister C. daddy D. aunt54. A. wish B. hope C. want D. congratulate55. A. laughing B. joking C. worrying D. crying第四部分:阅读七选五（10%）How to Recognize a True FriendBe able to trust your friends. You should be able to trust true friends and they should return this trust. Does your friend tell you secrets that no one else knows? Ask you for advice? 56_ However, if your friend hides things from you and acts secretively, then this is a sign that they may not trust you,57 Think about it. How comfortable are your friends when they are around you? Watch them, are they being themselves around you? Are they acting fake... perhaps hiding something? True friendships can take a while to develop, but if your friends are true they should feel comfortable around you, and vice versa (You with them).Thi nk about loyalty. 58 If you are in need of a helping hand, your true friends should be there to offer it to you. True friends do not try to get one another into trouble. A t rue friend will always be loyal to you and will not reveal your secrets, Think about nicknames. A lot of true friends love to give each other nicknames! If your friend is giving you nicknames, then this is a great sign. Think of the nickname yourfriend has given you, does it suit you well? 59Look at how you fight. Nearly all best friends fight. 60 True friends will find their way through a fight, no matter what the size is. True friends will remain 'faithful' to each other even during a fight. They still care about each other.A. Choose your friend carefully.B Consider comfort.D. True friends are always there for one another.C. Both are sure signs that your friend trusts you.E. If so, this shows your friend must know you quite wellF. An inside joke shows that you share a special connection with your friend.G. So if you and your friend have a little argument, don’t worry!第五部分：完成句子（15%）61.这是在两国交战的时期。