北京市海淀区2013—2014学年高三上学期期末考试英语试题
海淀区高三年级第一学期期末练习英语 2014.01本试卷共12页，共150分。
考试时长120分钟。
注意事项：1．考生务必将答案答在答题卡上，在试卷上作答无效。
2．答题前考生务必将答题卡上的姓名、准考证号用黑色字迹的签字笔填写。
3．答题卡上选择题必须用2B铅笔作答，将选中项涂满涂黑，黑度以盖住框内字母为准，修改时用橡皮擦除干净。
非选择题必须用黑色字迹的签字笔按照题号顺序在各题目的答题区域内作答，未在对应的答题区域内作答或超出答题区域作答的均不得分。
第一部分：听力理解（共三节，30分）第一节（共5小题；每小题1.5分，共7.5分）听下面5段对话。
每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
1. What’s the weather like now?A. B. C.2. Where are the two speakers?A. In a hotel.B. In a bar.C. At home.3. Why does the girl hurry home?A. To join in a group discussion.B. To get something important.C. To have a quick meal.4. What is the woman going to do?A. Have a meeting.B. Get her son home.C. Go to the office.5. When does the man leave?A. Next Wednesday.B. Next Friday.C. This Sunday.第二节（共10小题；每小题1.5分，共15分）听下面4段对话或独白。
每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听每段对话或独白前，你将有5秒钟的时间阅读每小题。
听完后，每小题将给出5秒钟的作答时间。
每段对话或独白你将听两遍。
听第6段材料，回答第6至7题。
6. What are they talking about?A. Fixing the bike.B. Taking a trip.C. Taking some pictures.7. What does the man remind the woman to take?A. A cellphone.B. A guitar.C. A helmet.听第7段材料，回答第8至9题。
8. What is the man unhappy about?A. The service.B. The food.C. The manager.9. How did the woman handle the matter?A. She called in the manager.B. She gave the man a discount.C. She filled out a comment card.听第8段材料，回答第10至12题。
10. How much does the Hawaii tour cost at least?A. 199 pounds.B. 372 pounds.C. 400 pounds.11. Which place is suggested for traveling near home?A. Paris.B. Rome.C. Scotland.12. How can customers get the brochure?A. By going online.B. By making a call.C. By sending an e-mail.听第9段材料，回答第13至15题。
13. How many dogs does the family keep?A. 3.B. 4.C. 5.14. What can we know about Randall?A. He likes school very much.B. He is hard to get along with.C. He is crazy about video games.15. What does the man decide to do next?A. Share the dorm with his brother.B. Move in to live with Randall.C. Find another house to live in.第三节（共5小题；每小题1.5分，共7.5分）听下面一段对话，完成第16至20题，每小题仅填写一个．．词。
听对话前，你将有20秒钟的时间阅读试题，听完后你将有60秒钟的作答时间。
这段对话你将听两遍。
第一节单项填空（共15小题；每小题1分，共15分）从每题所给的A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
21. —What do you think of your new Pad?—Good. I don’t think I can find a ______ one.A. worstB. bestC. worseD. better22. —I’ll be down in two minutes!—OK. I’ll wait until you ______ ready.A. will beB. areC. would beD. were23. Don’t use your mobile phone while charging, ______ you ma y be shocked by electricity.A. orB. andC. butD. yet24. You can complain, but I doubt ______ it will make any difference.A. thatB. whetherC. whyD. when25. —Have you heard of the accident on this road last night?—Yes. And there ______ three accidents here so far this year.A. areB. wereC. have beenD. had been26. Doctors always advise us ______ plenty of water to stay healthy.A. drunkB. drinkingC. drinkD. to drink27. No matter how busy he is, Tom makes ______ a rule to see his parents every week.A. thisB. thatC. itD. him28. —Can I come over in an hour?—Sorry, I ______ the house.A. will cleanB. am cleaningC. cleanD. will be cleaning29. This restaurant has an inviting, homelike atmosphere ______ many others are short of.A. whereB. whenC. thatD. what30. —Can I smoke here?—No. Go to the smoking section, if you ______.A. mustB. canC. shallD. may31. —Have they got our car repaired?—I don’t know. But it ______ when I called them yesterday.A. would repairB. was repairedC. had repairedD. was being repaired32. When ______ about the reason for winning the prize, the girl owed the success to her teachers.A. askedB. askingC. being askedD. having asked33. With our country entering an aging society, ______ the retirement age is probably unavoidable.A. having delayedB. delayingC. being delayedD. to be delayed34. The new policy allows a couple to have a second birth ______ either is an only child.A. thoughB. ifC. unlessD. until35. But for the mistakes he made, Li Ming ______ the entrance exam last year.A. would have passedB. will passC. would passD. will have passed第二节完形填空（共20小题；每小题1.5分，共30分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
Music to My EarsRobby was 10 for his first piano lesson in my class. Much as he tried, he __36__ even thebasic rhythm. However, he dutifully reviewed the pieces that I required.Over the months he tried and tried while I __37__ and encouraged him. At the end of each lesson he'd always say, "My mom's going to hear me play some day." __38__ it seemed hopeless.I only knew his mother from a __39__as she waited in her aged car to pick him up. Then one day Robby stopped coming. I was secretly __40__ that he stopped because of his lack of ability.Weeks later I informed the students, including Robby, of the coming recital（独奏）. To my __41__, Robby asked me if he could be included. I told him he really did not qualify because he had __42__ out. He said his mom had been sick and unable to take him to lessons but he was still __43__ .“I've just got to play!" he __44__. Something inside me let me allow him to.Then came the recital night. The gym was __45__ with parents. I put Robby up __46__, thinking that I could save his poor performance through my “curtain closer（谢幕）.”The recital went off smoothly. Then Robby came up on stage. His clothes were wrinkled and his hair was __47__. "Why didn't his mother at least make him comb his hair for this special night?" I thought.Robby pulled out the piano bench and began. I was not __48__ for what I heard next. His fingers were __49__ on the keys. Never had I heard Mozart played so well by people of his age. After he ended, everyone was __50__ their feet in wild applause.In __51__ I ran up on stage and put my arms around Robby. "I've never heard you play like that, Robby! How did you __52__ it?"Robby explained, "Well, Miss Hondorf…remember I told you my mom was sick? …__53__ she had cancer and passed away yesterday. She was born deaf, so tonight she could hear me play in heaven. I wanted to make it special."There wasn’t a __54__ eye in the house. That night I felt he was the teacher and I was the pupil, for it was he who taught me the meaning of perseverance and __55__.36. A. lacked B. had C. showed D. got37. A. listened B. learned C. checked D. played38. A. And B. But C. So D. Or39. A. conversation B. performance C. distance D. picture40. A. guilty B. sad C. anxious D. glad41. A. relief B. surprise C. pleasure D. satisfaction42. A. stepped B. worn C. run D. dropped43. A. acting B. performing C. practicing D. recording44. A. insisted B. suggested C. complained D. threatened45. A. lined B. packed C. piled D. covered46. A. least B. most C. first D. last47. A. messy B. cool C. neat D. dull48. A. eager B. concerned C. prepared D. grateful49. A. hesitating B. dancing C. touching D. crawling50. A. over B. under C. in D. on51. A. chaos B. tears C. silence D. return52. A. find B. feel C. make D. like53. A. Gradually B. Suddenly C. Frequently D. Actually54. A. dry B. curious C. bright D. wet55. A. regret B. talent C. love D. courage第三部分：阅读理解（共两节，40分）第一节（共15小题；每小题2分，共30分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
2023-2024学年北京市海淀区高三上学期英语质量检测模拟试题(含解析)
2023-2024学年北京市海淀区高三上学期英语质量检测模拟试题本试卷分第一卷（选择题）、第二卷（非选择题）两部分，共150分，考试时间120分钟。
第I卷选择题（共115分）第一部分听力（满分20分）第一节（共5小题，每小题1分，满分5分）听下面五段对话，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，你将有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.How much did the pink coat cost?A.$35.B.$50.C.$85.2.What will the woman do next?A.Make a telephone call.B.Go to her office.C.Visit a library.3.Why is Alex applying for financial aid?A.He is out of work.B.He has lost lots of money.C.He has to support his little brother.4.When does the conversation take place?A.On Monday.B.On Wednesday.C.On Friday.5.What are the speakers mainly talking about?A.A strike.B.An employee.C.A p i e c e o f n e w s.第二节（共10小题；每小题1.5分，满分15分）听下面几段材料，每段材料后有几个小题。
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。
听每段材料前，你将有时间阅读各个小题，每小题5秒钟；听完后，各个小题将给出5秒钟的作答时间。
每段材料读两遍。
听下面一段对话，回答第6至8三个小题。
2013-2014海淀区高三数学期末考试文科试卷
海淀区高三年级第一学期期末练习数 学 （文）参考答案及评分标准 2014．1阅卷须知:1.评分参考中所注分数,表示考生正确做到此步应得的累加分数。
2.其它正确解法可以参照评分标准按相应步骤给分。
一、选择题（本大题共8小题,每小题5分,共40分）题号 1 2 3 4 5 6 7 8 答案BACACBDB二、填空题（本大题共6小题,每小题5分, 有两空的小题，第一空3分，第二空2分， 共30分）三、解答题(本大题共6小题,共80分) 15．（本小题共13分）解：（Ⅰ）πcosππ02()2sin 22ππ4422sin cos 4422f =+=+=++. ------------------------3分 （Ⅱ）由sin cos 0x x +≠得ππ,4x k k ≠-∈Z . 因为cos2()2sin sin cos xf x x x x =++22cos sin 2sin sin cos x xx x x-=++ ------------------------------------5分 cos sin x x =+π2sin()4x =+， -------------------------------------7分所以()f x 的最小正周期2πT =. -------------------------------------9分 因为函数sin y x =的对称轴为ππ+,2x k k =∈Z , ------------------------------11分 又由πππ+,42x k k +=∈Z ,得ππ+,4x k k =∈Z ,所以()f x 的对称轴的方程为ππ+,4x k k =∈Z .-----------------------------------13分9． 210． 1611. 712． {1,2,4}13． 50，101514． 1-;①②③16．（本小题共13分）解：（Ⅰ）由上图可得0.010.190.290.451a ++++=,所以0.06a =. ----------------------------------4分（Ⅱ）设事件A 为“甲队员射击，命中环数大于7环”，它包含三个两两互斥的事件：甲队员射击，命中环数为8环，9环，10环.所以()0.290.450.010.75P A =++=. ----------------------------------9分 （Ⅲ）甲队员的射击成绩更稳定. ---------------------------------13分 17．（本小题共14分）解：（Ⅰ）因为底面ABCD 是菱形，所以//CD AB . ----------------------------1分 又因为CD ⊄平面PAB ， -------------------3分 所以//CD 平面PAB . --------------------------4分 （Ⅱ）因为PA PB =，点E 是棱AB 的中点，所以PE AB ⊥. ----------------------------------5分 因为平面PAB ⊥平面ABCD ,平面PAB 平面ABCD AB =,PE ⊂平面PAB ,----------------------------------7分所以PE ⊥平面ABCD , ------------------------------------8分 因为AD ⊂平面ABCD ,所以PE AD ⊥. ------------------------------------9分 （Ⅲ）因为CA CB =，点E 是棱AB 的中点，所以CE AB ⊥. --------------------------------10分 由（Ⅱ）可得PE AB ⊥， ---------------------------------11分 所以AB ⊥平面PEC ， --------------------------------13分 又因为AB ⊂平面PAB ,所以平面PAB ⊥平面PEC . --------------------------------14分18．（本小题共13分）解：（Ⅰ）'()(1)e x f x x a =++,x ∈R . -------------------------------2分 因为函数()f x 是区间[3,)-+∞上的增函数，PAEBCD所以'()0f x ≥，即10x a ++≥在[3,)-+∞上恒成立.------------------------------3分 因为1y x a =++是增函数，所以满足题意只需310a -++≥，即2a ≥. -------------------------------5分 （Ⅱ）令'()0f x =，解得1x a =-- -------------------------------6分 (),'()f x f x 的情况如下： x (,1)a -∞--1a --(1,)a --+∞'()f x -0 +()f x↘极小值↗--------------------------------------10分①当10a --≤，即1a ≥-时，()f x 在[0,2]上的最小值为(0)f ， 若满足题意只需2(0)e f ≥，解得2e a ≥，所以此时，2e a ≥； --------------------------------------11分②当012a <--<，即31a -<<-时，()f x 在[0,2]上的最小值为(1)f a --， 若满足题意只需2(1)e f a --≥，求解可得此不等式无解，所以a 不存在； ------------------------12分③当12a --≥，即3a ≤-时，()f x 在[0,2]上的最小值为(2)f , 若满足题意只需2(2)e f ≥，解得1a ≥-,所以此时，a 不存在. ------------------------------13分综上讨论，所求实数a 的取值范围为2[e ,)+∞. 19. （本小题共14分）解：（Ⅰ）由题意可得1c =， ----------------------------------1分 又由题意可得12c a =， 所以2a =， ----------------------------------2分所以2223b a c =-=, ----------------------------------3分所以椭圆C 的方程为22143x y +=. ---------------------------------4分所以椭圆C 的右顶点(2,0)A ， --------------------------------5分 代入圆F 的方程，可得21r =,所以圆F 的方程为22(1)1x y -+=. ------------------------------6分 （Ⅱ）法1：假设存在直线l :(2)y k x =-(0)k ≠满足条件， -----------------------------7分由22(2),143y k x x y =-⎧⎪⎨+=⎪⎩得2222(43)1616120k x k x k +-+-=----------------------------8分设11(,)B x y ，则21216243k x k +=+, ---------------------------------9分可得中点22286(,)4343k kP k k -++， --------------------------------11分由点P 在圆F 上可得2222286(1)()14343k k k k --+=++化简整理得20k = --------------------------------13分 又因为0k ≠，所以不存在满足条件的直线l . --------------------------------14分 （Ⅱ）法2：假设存在直线l 满足题意.由（Ⅰ）可得OA 是圆F 的直径， -----------------------------7分 所以OP AB ⊥. ------------------------------8分 由点P 是AB 中点，可得||||2OB OA ==. --------------------------------9分设点11(,)B x y ，则由题意可得2211143x y +=. --------------------------------10分又因为直线l 的斜率不为0，所以214x <, -------------------------------11分所以22222211111||3(1)3444x x OB x y x =+=+-=+<,-------------------------------13分这与||||OA OB =矛盾，所以不存在满足条件的直线l . --------------------------14分 20. （本小题共13分）解：（Ⅰ）只有[]y x =是N 函数. ----------------------------3分 （Ⅱ）函数()[ln ]1g x x =+是N 函数. 证明如下：显然，*x ∀∈N ，*()[ln ]1g x x =+∈N . ---------------------------------------4分不妨设*[ln ]1,x k k +=∈N ,由[ln ]1x k +=可得1ln k x k -≤<， 即11e e k k x -≤≤<.因为*k ∀∈N ，恒有11e e e (e 1)1k k k ---=->成立， 所以一定存在*x ∈N ，满足1e e k k x -≤<， 所以设*k ∀∈N ，总存在*x ∈N 满足[ln ]1x k +=，所以函数()[ln ]1g x x =+是N 函数. ---------------------------------------8分 （Ⅲ）（1）当0b ≤时，有2(2)[]0f b a =⋅≤，所以函数()[]x f x b a =⋅都不是N 函数. ---------------------------9分（2）当0b >时，① 若0a ≤，有(1)[]0f b a =⋅≤，所以函数()[]x f x b a =⋅都不是N 函数. ------------------10分② 若01a <≤，由指数函数性质易得 x b a b a ⋅≤⋅，所以*x ∀∈N ，都有()[][]x f x b a b a =⋅≤⋅所以函数()[]x f x b a =⋅都不是N 函数. -----------------11分③ 若1a >，令12m m b a b a +⋅-⋅>，则2log (1)am b a >⋅-，所以一定存在正整数k 使得 12k k b a b a +⋅-⋅>， 所以*12,n n ∃∈N ，使得112k k b a n n b a +⋅<<<⋅， 所以12()(1)f k n n f k <<≤+.又因为当x k <时，x k b a b a ⋅<⋅,所以()()f x f k ≤； 当1x k >+时，1x k b a b a +⋅>⋅,所以()(1)f x f k ≥+， 所以*x ∀∈N ，都有*1{()|}n f x x ∉∈N ，所以函数()[]x f x b a =⋅都不是N 函数.------------------13分综上所述，对于任意实数,a b ，函数()[]x f x b a =⋅都不是N 函数.。
北京市海淀区2023-2024学年高三上学期期中考试英语试题
北京市海淀区2023-2024学年高三上学期期中考试英语试题学校:___________姓名：___________班级：___________考号：___________一、完形填空On a sunny afternoon, Anthony Perry stepped off the train at Chicago’s 69th Street station. The 20-year-old, who worked nights in a grocery store, was on his way to see his 1 .On the platform, something unthinkable happened: a man fell over the edge and onto the electrified train tracks! As Perry and other horrified passengers watched, he shook uncontrollably as the 2 moved through his body.“Help him!” someone cried. “Please, someone!”Perry couldn’t just stand there and 3 . He sat at the edge of the platform and eased himself down. 4 all rails between the man and him were electrified, he quickly leaped towards the victim, using a high-knee technique from his high school football days.Perry soon reached down and grasped the victim’s wrist. 5 , he felt a powerful electric shock shoot through his body. Perry jumped back. He reached down a second time, and was shocked again. But the third time he seized the man’s wrist and forearm, and managed to move the guy’s body away from the 6 .“Give him chest compressions!” yelled an old lady on the platform.Perry was no expert, but for a few moments he worked on the man’s heart until the victim regained 7 . Then, first-aiders arrived. Perry let the professionals 8 . Heart still racing from the electric shocks, he climbed back up onto the platform, grabbed his things and continued on to his grandfather’s.The evening news reported the incident, 9 an unnamed hero with saving the victim’s life. To many, Perry’s 10 deeds demonstrated the power of choosing compassion over personal safety.1．A．manager B．client C．grandfather D．aunt 2．A．current B．oxygen C．wave D．blood 3．A．imagine B．watch C．shout D．record 4．A．Hoping B．Assuming C．Complaining D．Recalling 5．A．Instantly B．Slightly C．Normally D．Surprisingly 6．A．train B．crowds C．platform D．rails7．A．strength B．balance C．consciousness D．control 8．A．look ahead B．take over C．get around D．keep away 9．A．providing B．engaging C．assisting D．crediting 10．A．generous B．grateful C．courageous D．faithful二、用单词的适当形式完成短文阅读下列短文，根据短文内容填空。
英语代词不定代词试题答案及解析
英语代词不定代词试题答案及解析1.（2013·山东卷）I've lived in New York and Chicago, but don't like ________ of them very much.A．either B．any C．each D．another【答案】A【解析】句意：我在纽约和芝加哥都住过，但是这两个地方我都不喜欢。
either指两者，与not连用，表示“两个都不”；any“任何”，指三者或三者以上；each“每一个”，指三者或三者以上；another“另一个”。
从句中的纽约和芝加哥可知是两个地方，故选A项。
2. You may depend on________ that they will look after your daughter when you are away. A．them B．this C．her D．it【答案】D【解析】句意：你不用怀疑，当你外出时他们会照看你的女儿的。
这里depend on不能直接跟宾语，要在宾语从句前加it，故选D项。
高频考点四、考查代词的用法3.（2012重庆卷）-John, when shall we meet again, Thursday or Friday?-_________.I’ll be off to London then.A．Either B．Neither C．Both D．None【答案】B【解析】根据答语“I’ll be off to London then.”可知，约定的星期三或者星期五对John来说，都不行。
在选项中B选项是“两者都不”之意，符合语境。
因此，正确答案为B选项。
【考点】不定代词用法4.（2012江苏卷）Sophia waited for a reply, but ____ came.A．either B．another C．neither D．none【答案】D【解析】句意为：Sophia等候答复，但没有任何答复。
北京市海淀区2013-2014学年高一数学上学期期末考试试题
海淀区高一年级第一学期期末练习数 学2014.1学校 班级 姓名 成绩 本试卷共100分.考试时间90分钟.一.选择题：本大题共8小题, 每小题4分,共32分. 在每小题给出的四个选项中,只有一项是符合题目要求的.1.已知全集{1,2,3,4},{1,2},{2,3},U A B ===则 ( )U A B =ð （ ）A.{2,3}B.{1,2,3}C.{2,3,4}D.{1,2,3,4}2.代数式sin120cos210的值为 （ ）A.34-C.32-D.143.已知向量2(1,1),(,2),x x ==+a b 若,a b 共线,则实数x 的值为 （ ） A.1-B.2C.1或2-D.1-或2 4.函数1()lg 1f x x =-的定义域为 （ ）A.(0,)+∞B.(0,1)(1,)+∞C.(1,)+∞D.(0,10)(10,)+∞5.如图所示,矩形ABCD 中,4,AB = 点E 为AB 中点,若DE AC ⊥,则||DE = （ ）A.52B. C.3 D.6.函数41()log 4x f x x =-的零点所在的区间是 （ ）A.(10,2)B.(1,12) C.(1,2) D.(2,4)7.下列四个函数中，以π为最小正周期，且在区间π(,π)2上为减函数的是 （ ）EDCBAA.2|sin |y x =B.sin2y x =C.2|cos |y x =D.cos2y x =8.已知函数||()||x af x x a -=-,则下列说法中正确的是 （ ）A.若0a ≤，则()1f x ≤恒成立B.若()1f x ≥恒成立，则0a ≥C.若0a <，则关于x 的方程()f x a =有解D.若关于x 的方程()f x a =有解，则01a <≤二.填空题：本大题共6小题, 每小题4分,共24分.把答案填在题中横线上. 9. 已知角α的顶点在坐标原点，始边在x轴的正半轴，终边经过点(1,,则 cos ____.α=10.比较大小：sin1 cos1(用“>”,“<”或“=”连接). 11.已知函数()13,(,1)x f x x =-∈-∞,则()f x 的值域为 . 12.如图，向量1,4BP BA =若+,OP xOA yOB = 则____.x y -= 13.已知sin tan 1αα⋅=，则cos ____.α=14.已知函数π()sin 2f x x =，任取t ∈R ，记函数()f x 在区间[,1]t t +上的最大值为,t M 最小值为 t m ，记()t t h t M m =-. 则关于函数()h t 有如下结论： ①函数()h t 为偶函数； ②函数()h t的值域为[1-； ③函数()h t 的周期为2；④函数()h t 的单调增区间为13[2,2],22k k k ++∈Z .其中正确的结论有____________.（填上所有正确的结论序号）POB A三.解答题:本大题共4小题,共44分.解答应写出文字说明,证明过程或演算步骤. 15.（本小题满分10分）已知函数2()f x x bx c =++，其中,b c 为常数. （Ⅰ）若函数()f x 在区间[1,)+∞上单调，求b 的取值范围；（Ⅱ）若对任意x ∈R ，都有(1)(1)f x f x -+=--成立，且函数()f x 的图象经过点(,)c b -，求,b c 的值.16.（本小题满分12分）y11 xO 已知函数()sin(2)3f x x π=-.（Ⅰ）请用“五点法”画出函数()f x 在长度为一个周期的闭区间上的简图（先在所给的表格中填上所需的数值，再画图）； （Ⅱ）求函数()f x 的单调递增区间；（Ⅲ）当[0,]2x π∈时，求函数()f x 的最大值和最小值及相应的x 的值.17.（本小题满分12分）已知点(1,0),(0,1)A B -，点(,)P x y 为直线1y x =-上的一个动点.（Ⅰ）求证：APB ∠恒为锐角；（Ⅱ）若四边形ABPQ 为菱形，求BQ AQ ⋅的值.18.（本小题满分10分）已知函数()f x 的定义域为[0,1]，且()f x 的图象连续不间断. 若函数()f x 满足：对于给定的m （m ∈R 且01m <<），存在0[0,1]x m ∈-，使得00()()f x f x m =+，则称()f x 具有性质()P m .（Ⅰ）已知函数21()()2f x x =-，[0,1]x ∈，判断()f x 是否具有性质1()3P ，并说明理由；（Ⅱ）已知函数 141, 0,413()41, ,44345, 1.4x x f x x x x x ⎧-+≤≤⎪⎪⎪=-<<⎨⎪⎪-+≤≤⎪⎩若()f x 具有性质()P m ，求m 的最大值；（Ⅲ）若函数()f x 的定义域为[0,1]，且()f x 的图象连续不间断，又满足(0)(1)f f =，求证：对任意*k ∈N 且2k ≥，函数()f x 具有性质1()P k.海淀区高一年级第一学期期末练习数 学参考答案及评分标准 2014．1一、选择题（本大题共8小题,每小题4分,共32分）二、填空题（本大题共4小题,每小题4分）三、解答题(本大题共6小题,共80分) 15.（本小题满分10分）解：(I)因为函数2()f x x bx c =++，所以它的开口向上，对称轴方程为2bx =- ………………2分 因为函数()f x 在区间[,)2b -+∞上单调递增，所以12b-≤，所以2b ≥- ………………………4分（Ⅱ）因为(1)(1)f x f x -+=--， 所以函数()f x 的对称轴方程为1x =-，所以2b = ………………………6分又因为函数()f x 的图象经过点(,)c b -，所以有 222c c c ++=- ………………………8分即2320c c ++=，所以2c =-或1c =- ………………………10分9．12 10． > 11. (2),1-12．21-13． 14．③④说明：14题答案如果只有③ 或④，则给2分，错写的不给分16．（本小题满分12分） 解：（I ） 令23X x π=-，则1()23x X π=+．填表：………………………2分………………4分（Ⅱ）令222(232k x k ππππ-≤-Z ………………………6分解得()1212k x k k π5ππ-≤≤π+∈Z 所以函数sin(2)3y x π=-的单调增区间为5[,]()1212k k k πππ-π+∈Z ………………………8分（Ⅲ）因为[0,]2x π∈，所以2[0,]x ∈π，(2)[,]333x ππ2π-∈- ………………10分 所以当233x ππ-=-，即0x =时，in(2)3y s x π=-取得最小值2- 当232x ππ-=，即12x 5π=时，sin(2)3y x π=-取得最大值1 ……………………12分17.（本小题满分12分）解：（Ⅰ）因为点(,)P x y 在直线1y x =-上，所以点(,1)P x x - ………………………1分所以(1,1),(,2)PA x x PB x x =---=--， 所以1O yx1222132222(1)=2[()]24PA PB x x x x x ⋅=-+=-+-+>………………………3分所以c |P PP⋅<………………………4分若,,A P B 三点在一条直线上，则//PA PB ，得到(1)(2)(1)0x x x x +---=，方程无解，所以0APB ∠≠ …………………5分 所以APB ∠恒为锐角. ………………………6分 （Ⅱ）因为四边形ABPQ 为菱形， 所以|A B B P=，即………………………8分化简得到2210x x -+=，所以1x =，所以(1,0)P ………………………9分设(,)Q a b ，因为PQ BA =， 所以(1a b -=--，所以01a b =⎧⎨=-⎩………………………11分(0,2)(1,1)2BQ AQ ⋅=-⋅-=………………………12分18.（本小题满分10分）解：（Ⅰ）设01[0,1]3x ∈-，即02[0,]3x ∈ 令001()()3f x f x =+, 则2200111()()232x x -=+- 解得013x =2[0,]3∈, 所以函数()f x 具有性质1()3P ………………………3分 （Ⅱ）m 的最大值为12首先当12m =时，取012x =则01()()12f x f ==，011()()(1)122f x m f f +=+==所以函数()f x 具有性质1()2P ………………………5分 假设存在112m <<，使得函数()f x 具有性质()P m则1012m <-<当00x =时，01(,1)2x m +∈，00()1,()1f x f x m =+>，00()()f x f x m ≠+当0(0,1]x m ∈-时，01(,1]2x m +∈，00()1,()1f x f x m <+≥，00()()f x f x m ≠+所以不存在0[0,1]x m ∈-，使得00()()f x f x m =+ 所以，m的最大值为12………………………7分 （Ⅲ）任取*,2k k ∈≥N设1()()()g x f x f x k =+-，其中1[0,]k x k-∈ 则有 1(0)()(0)g f f k=-121()()()g f f k k k=-232()()()g f f k k k =- (1)()()()t ttg f f k k k k =+-……11()(1)()k k g f f k k --=-以上各式相加得：11(0)()...()...()(1)(0)0t k g g g g f f k k k -+++++=-= 当11(0),(),...,()k g g g k k -中有一个为0时，不妨设为()0,{0,1,2,...,1}ig i k k =∈-，即1()()()0i i ig f f k k k k =+-=则函数()f x 具有性质1()P k 当11(0),(),...,()k g g g k k -均不为0时，由于其和为0，则必然存在正数和负数， 不妨设()0,()0,i jg g k k >< 其中i j ≠，,{0,1,2,...,1}i j k ∈-由于()g x 是连续的，所以当j i >时，至少存在一个0(,)i jx k k ∈（当j i <时，至少存在一个0(,)i jx k k ∈）使得0()0g x =， 即0001()()()0g x f x f x k =+-=所以，函数()f x 具有性质1()P k ………………………10分说明： 若有其它正确解法，请酌情给分，但不得超过原题分数.。
北京市海淀区近五年高三第一学年期末英语试卷汇编- 语法填空 单项选择含答案
北京市海淀区近五年高三第一学年期末英语试卷汇编-语法填空+单项选择（1）2019-2020 年北京市海淀区高三上学期期末英语试卷第一节语法填空（共10 小题；每小题1.5 分，共15 分）A阅读下列短文，根据短文内容填空。
在未给提示词的空白处仅填写1 个适当的单词，在给出提示词的空白处用括号内所给词的正确形式填空。
The first time I saw May, she ___1___ (sit) in my front yard, hugging my dog Harley. She had just moved into a small house down the road from us. From the second I talked to her, I knew May would be a cherished friend. Her smile and good cheer made me feel better when I was around her.It didn’t take long ___2___ May was beloved by everyone in our neighborhood. Children and adults visited her home often. When we visited her, she would kindly listen to all of our___3___ (trouble) and then say something so wise that we would leave her home with our hearts ___4___ (sing).B阅读下列短文，根据短文内容填空。
在未给提示词的空白处仅填写1 个适当的单词，在给出提示词的空白处用括号内所给词的正确形式填空。
We are drowning in a sea of free information. The Internet is in our businesses, homes and our bedrooms. An army of designers and data engineers spend their working life figuring out ways ___5___ (make) us stay plugged in longer. Our desires are repackaged by giant tech companies and then ___6___ (sell) back to us under the cover of free content, but it isn't free.We are paying for it with invisible currencies, such as our time and privacy, ___7___ people are only now beginning to understand.C阅读下列短文，根据短文内容填空。
2024学年北京市海淀区高三英语试题一模试题含解析
2024学年北京市海淀区高三英语试题一模试题注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B铅笔绘、写清楚，线条、符号等须加黑、加粗．第一部分（共20小题，每小题1.5分，满分30分）1．I want to tell you is the deep love and respect I have for my parents.A．That B．Which C．Whether D．What2．–My TV set doesn’t work, the water tap is dripping and my car is still under repair!–You sure ________ bad luck these days.A．had B．will have C．had had D．are having3．– Where did you get to know her?-- It was on the farm ___ we worked.A．that B．there C．which D．where4．With a travelling speed of up to 350 kilometres per hour, the railway to be built between Beijing and Shanghai_______ the journey time from 12 hours to 5 hours．A．cuts B．will cut C．is cutting D．has cut5．To make extra-class education run on the right track, China is tightening _____ of after-school training institutions. A．application B．regulationC．adaptation D．cooperation6．—I need to advertise for a roommate for next term.—________？Mary is interested.A．Why bother B．Why notC．So what D．What for7．When I said someone broke the school regulations, I ______ you. Why did you get that angry?A．don’t refer to B．haven’t referred to C．wasn’t referring to D．hadn’t referred to8．Peterson, a great archaeologist, said: “Archaeologists have been extremely patient because we were led to believe that the ministry was ________ this problem, but we feel that we can't wait any longer.”A．looking out B．bringing out C．carrying out D．sorting out9．John ______ an NBA playoff game on TV now.A．watches B．watched C．will watch D．is watching10．The shocking news made me realize _____________ terrible problems we would face.A．that B．howC．why D．what11．students English well, the teacher tries to speak English in class very often.A．Teaching B．TaughtC．To teach D．Teach12．Distinguished guests and friends, welcome to our school, _____the ceremony of the 50th Anniversary this morning are our alumni （校友）from home and abroad.A．Attend B．To attend C．Attending D．Having attended13．Allen followed his customer across the yard and stood on the step of the house, two shopping bags.A．lifted B．having lifted C．to lift D．lifting14．—What an amazing picture!—The little boy ____the soldiers, and I caught them in an unguarded moment.A．was saluting B．saluted C．had saluted D．would salute15．The Oxford English Dictionary is necessary for learning English，so you'd better buy __________．A．this B．that C．it D．one16．--- I have been working for more than 30 years! I’m going to retire next month.--- Really? You don’t look a day 40!A．over B．byC．with D．for17．These new books are a very welcome _________ to the school library.A．addition B．arrival C．attitude D．audience18．Alice’s father always brings her a nice gift ________ he returns home from his business trip.A．by the time B．all the timeC．every time D．in the time19．---Mum, can you tell me why some parents send their children to study abroad at a very young age?---__________, darling. I have never thought about it.A．Y ou have got me there B．Take your timeC．Y ou bet D．Don’t be silly20．__________ 62% of all luxury consumer sales in Europe in 2015, shoppers from the Chinese mainland spent $7.2 billion overseas during the Spring Festival.A．Accounting for B．Adding toC．Consisting of D．Making up第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。
北京市海淀区2014届高三上学期期末考试化学试题(WORD精校版)
海淀区高三年级第一学期期末练习化学 2014．1本试卷分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，共8页。
满分100分。
考试时长90分钟。
考生务必将答案答在答题卡和答题纸上，在试卷上作答无效。
考试结束时，将本试卷、答题卡和答题纸一并交回。
可能用到的相对原子质量：H 1 N14 O 16第I 卷（选择题，共42分）本卷共14道小题，每小题3分，共42分。
请在每小题列出的4个选项中，选出符合题目要求的1个选项。
1．下列说法不正确．．．的是 A ．棉花、羊毛、腈纶和涤纶都属于合成纤维B ．明矾可用作除去污水中悬浮颗粒的混凝剂C ．使用青霉素前一定要进行皮肤敏感试验D ．利用油脂在碱性溶液中的水解可制取肥皂2．下列事实所对应的方程式不正确．．．的是 A ．盛放氢氧化钠溶液的试剂瓶不能用玻璃塞：SiO 2 + 2NaOH === Na 2SiO 3 + H 2OB ．高温下铁与水蒸气反应生成保护膜：2Fe + 6H 2O(g) === 2Fe(OH)3 + 3H 2C ．工业制取漂粉精：2Cl 2 + 2Ca(OH)2 === CaCl 2 + Ca(ClO)2 + 2H 2OD ．实验室制取氨气：2NH 4Cl + Ca(OH)2 === CaCl 2 + 2NH 3↑+ 2H 2O3．氯霉素主要成分的结构简式为：，下列有关该化合物的说法不．正确．．的是 A ．属于芳香族化合物 B ．能发生水解反应 C ．不能发生消去反应 D ．能发生催化氧化4．常温下，下列各组离子能大量共存的是A. pH=12的溶液中：K +、Na +、Br -、AlO 2-B. 无色溶液中：H +、K +、MnO 4-、C 2O 42-C. c (Fe 3+) = 0.1 mol·L－1的溶液中：K +、H +、SCN -、I -△△D. 由水电离出的c (OH -) =1.0×10-13 mol·L －1的溶液中：Na +、NH 4+、SO 42-、HCO 3-5. 利用右图装置电解硫酸铜溶液，下列说法正确的是 A. b 电极上发生氧化反应 B. 该装置能将化学能转变成电能C. 电解质溶液中Cu 2+从b 电极向a 电极迁移D. 若a 为铜，则a 的电极反应式为：Cu-2e - === Cu 2+6. 下列说法正确的是A ．蛋白质的水解可用于分离和提纯蛋白质B ．丙烯酸甲酯可通过缩聚反应生成高分子化合物C ．用乙醇和浓硫酸制备乙烯时，可用水浴加热控制反应的温度D ．有机物H 3C CH 3CH 3的核磁共振氢谱有两个峰，且峰面积之比为3∶17. 某种碳酸饮料中主要含柠檬酸、碳酸、白砂糖、苯甲酸钠等成分，常温下测得其pH 约为3.5，下列说法不．正确．．的是 A ．柠檬酸的电离会抑制碳酸的电离 B ．该碳酸饮料中水的电离受到抑制C ．常温下，该碳酸饮料中K W 的值大于纯水中K W 的值D ．打开瓶盖冒出大量气泡，是因为压强减小，降低了CO 2的溶解度8．下列实验现象不能．．说明相关结论的是 A. 将铜与浓硫酸共热，产生使石蕊溶液变红的气体，说明浓硫酸具有酸性 B. 将金属钠投入冷水中，钠熔为小球，说明钠与水的反应为放热反应且钠的熔点低 C. 向AgCl 浊液中滴加Na 2S 溶液，白色沉淀变成黑色，说明AgCl 的溶解平衡正向移动 D. 向Al(OH)3沉淀中滴加NaOH 溶液或盐酸，沉淀均消失，说明Al(OH)3是两性氢氧化物9. 铅蓄电池反应原理为：Pb(s) + PbO 2(s) +2H 2SO 4(aq)2PbSO 4(s) + 2H 2O(l)，下列说法正确的是A. 放电时，负极的电极反应式为：Pb – 2e - === Pb 2+B. 放电时，正极得电子的物质是PbO 2C. 充电时，电解质溶液中硫酸浓度减小D. 充电时，阴极的电极反应式为：PbSO 4 – 2e - +2H 2O === PbO 2 + 4H + + SO 42-10. X 、Y 、Z 、W 是短周期元素，原子序数依次增大。
最新-北京市海淀区高三(上)期末考试资料
2017-2018北京市海淀区高三(上)期末考试英语2018.01本试卷共12页，共150分。
考试时长120分钟。
考生务必将答案答在答题卡上，在试卷上作答无效。
考试结束后，将答题纸交回。
第一部分：听力理解（共三节，30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面五段对话。
每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
1. When did the fire probably break out?A. At 9 pm.B. At 8 pm.C. At 7 pm.2. What does the man usually do after waking up in the morning?A. Brush his teeth.B. Check the weather forecast.C. Go out.3. What’s the weather like in Beijing?A. Hot.B. Cold.C. Windy.4. Where does the man like watching movies?A. On cellphones.B. In rooms with WiFi.C. In the theater.5. What will the woman probably do?A. Clear useless data.B. Remove unwanted apps.C. Buy a new phone. 第二节（共10小题；每小题1.5分，15分）听下面四段对话。
每段对话后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听每段对话前，你将有5秒钟的时间阅读每小题。
听完后，每小题将给出5秒钟的作答时间。
每段对话你将听两遍。
听第6段材料，回答第6至7题。
6. What is the probable relationship between the two speakers?A. Boss and secretary.B. Receptionist and guest.C. Ticket agent and customer.7. When is the Chinese Music Concert?A. On 15th.B. On 28th.C. On 30th.听第7段材料，回答第8至9题。
海淀区2022-2023学年第一学期期末高三英语试题及答案
海淀区2022 ~ 2023 学年度第一学期期末检测试卷高三英语2023. 1 第一部分知识运用( 共两节,30 分)第一节( 共10 小题;每小题 1. 5 分,共15 分)阅读下面短文,掌握其大意,从每题所给的A、B、C、D 四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
We've all heard the saying “Laughte r is the best medicine". And there might be something in this idiom. Numerous studies have shown that people who report greater_1_ tend to have better medical outcomes.For instance a 2017 study at the University of Nottingham tested the effect of mood on 138 retirees 2 the normal flu injection.Those who felt happy on the day of the vaccination went on to 3 moreflu-fighting antibodies. Earlier work at Yale University and the University of Florida has also shown that people's mood affects the activation of gene s that fight disease.But does happiness lead to good 4 , or is it the other way around? After all, it could be that people who have strong immune systems 5 have higher levels of other mood-improving brain chemicals as well.Here is a possible evolutionary 6 . Humans evolve d as social creature s that cooperate in groups to 7 food and protect themselves from wild animals. We were happier with a(n)8network of friends and family because this improved our chances of survival. But closely socializing groups are also breeding grounds for respiratory(呼吸的) 9 such as flu and colds, so we would have needed to increase the activity of the genes that fight these diseases.For those who were10 from society, however, infectious disease was less of a problem, and genes that help recover from physical injury may have been prioritize d instead of the ones that fight disease.1. A. success B.confidence C.happiness D.determination2. A. avoiding B. receiving C. missing D. organizing3. A. produce B.repair C.detect D. absorb4. A. health B. mood C.relationship D. performance5. A.gradually B. naturally C.randomly D.rarely6. A. solution B.prediction C. application D.explanation7. A. consume B. serve C.secure D. purchase8. A. fixed B.enormous plicated D.close9. A.functions B.infections C. activities D. systems10. A. cut off B. taken over C. picked out D. made up第二节(共10小题;每小题1.5分，共15分)阅读下列短文，根据短文内容填空。