n·BC=0√2x=0所以(n·CE=0,即（√2x+√2y-√2z=0,令z2=1,得n=(0,1,1)，11分Im·nl1所以lcos1=12分ImlInl=2/3所以面CDE与面BCEF所成二面角的正弦值为13分116.解：（1)因为√S=a+-所以S：2分4所以Sn-=a²-+1(n≥2)16所以a,=S-Sn-=a²-a²-+4分即(a。-a-)(a,+a-1)-1-(a,+aa-1)=0,即(a,+a-1)(a-a-1）=05分因为lα,|为正项数列,所以α。-α=1(n≥2),因为√a=a+1解得a17分4所以a=-2n-14(2)n为偶数时，[（-1+3）+（-5+7)+.….+（-2n+3+2n-1)]10分n11分4n为奇数时，T.=Ta+-an+113分n+12n+114分44为偶数所以T：15分17.解：（1）f'（x）=e²+2x-1，1分所以f'(x)单调递增，2分因为f'(0)=0,3分所以x∈(-∞,0),f'(x)

25.（本题满分8分）一座三孔拱桥横跨河面之上，三口孔洞外轮廊呈抛物线形，且三条抛物线形状相同.如图，以河面MN所在的直线为r轴，OC所在的直线为y轴建立面直角坐标系.已知拱桥整体是以y轴为对称轴的轴对称图形，拱桥孔洞C的最大高度OC为8m，跨度AB为32m.（1)求孔洞C：所在抛物线的函数表达式（2）若孔洞C.与C之间的跨度EF=72m，则孔洞C的最大高度为多少米？y/mCWE1o（第25题图）

Discover something amazing（B)41.WhydidLilyhavefewfriendsbefore?(51）FFor example,ifyou enjoycollectingold stamps（邮票）A.Because she often changed schools.whileothersarebusywithcomputergames,youll learnabouthistoryandartinan interestingway.B.Becauseshedidn'tknowhow tomakefriends.Findreal friendsC.Because she had no interest in making friends.Whenyourealizeyou aredifferentfrom others,there’snoneedto（B)42.WhatcanweknowaboutLily'sstudies?pretendtobesomeoneelsetofitin（融入）.（52）4They'll stand byA.Sheneverasksothersforhelp.youindifficulttimesandsharejoywithyou.Being true to yourself lights upyour life like sunshine.(53)B.She gets better grades in maths now.RememberthattheworldneedsyourtruecolourstobecomebrighterandC.Sheoften helpsher classmateswith maths.warmerC)43.Howdid LilyfeelwhenshemadethegrowthA.Real friendswill findyou.profile?B.This can bringyou some great ideas.C.ThinkabouthowtomakefriendsquicklyA.Worried aboutnewproblems.D.So,ifyou everfeel like an outsider,don't be sadB.Surprised ather writing skills.E.Here areseveralreasonswhybeingdifferentbringsmorejoyC.Happy about her changes.F.Whenyoufocusonyour interestsinsteadoffollowing others,youmayfind treasuresCImFrank.IwasafraidwhenIfirstwenttoFinland.Ionlyknew100EFinnishwordsandmissedmyfamily.Myhostfamily（寄宿家庭）metmewith smiles.Theyremindedme thateverythingwouldgetbetter.请阅读下面语篇，根据其内容回答问题。Thefirstweekswerehard.IfeltsadbecauseIcouldnottalkwithFriendship plays animportant part in our lives.Itpeople.Itriedtokeepquiet.Ipractisedlisteningandlookedforwaystocan makeourlivesmorewonderfuland help usexpress（表达）thanks.For example,Ihelpedwith choresor stayedinbecome better.It'slucky to have some good friends.Wecan shareexperiences,feelings and thoughtswiththefamilyroomtodohomework.However,therewerehappymoments.them.However,as time goes by,you may find youMyhostfamily and Iplayed cardgames andvisitednewplaces together.alwayslosesomefriendsTheymademefeel better.According to the researcherWilliam Rawlins,there are threekindsof friendships.Astimewentby,Ifeltthelovefrommyhostfamily.OnceIgotsick,my host mother took care ofmelike herown child.She broughtActive（活跃型）Dormant（休眠型）mebreakfastinbedandencouragedmetoseeadoctor.WhenIwasinCommemorativeThe friendshipThe dommant friendship（纪念型）hospital,IrealizedthatIbecameapartofthefamilymeans you andyourAcommemorativeThese experiences taughtme thatpeople couldgrowin difficultis active ifyouoftenfriend don't talk muchfriendissomeoneyoutimes.Difficulties make life richer.Little bylittle,I sawmyself grow.contactyourfriendnow.However,whenwere familiarwithLivingwithmyhostfamilybecamemytreasure.OurstorieswerelikeaYou know what'syou contact or meet him,in the past,but youyou can easily start adon'treally expect tojourneyfull of laughter,joyandtears.Idliketotellyoumore.going on in his life.conversation like before.hearfrom him now.（B)44.WhywasFrank afraidwhen he firstreached Finland?A.He could notcall his own family.Friendshipsmay changeover time.Everyonelooksforward tohavinggoodandlastingfriendships.Sohowcanwekeeplifelongfriendships?B.He only spoke a fewFinnish words.Firstly,learn aboutyourfriends.Whenyouknowyour similaritiesC.He didn'twant to live with thehostanddifferences,you canknowhowtogetalongwiththem inacomfortableway.family.Secondly,try different activities withyour friends.Then you will（C）45.What does the word “They"in paragraph 2naturallytalkmoreandtrust（信任）eachothermore.refer to(指代)？Thirdly,careaboutyourfriends.Whentheyhavegoodnews,sendyourcongratulationstothem.WhentheygetintotroublelendahandtothemA.Thefirstweeks.B.Simple chores.C.Happy moments.54.Why is friendship important in our lives?（B)46.WhatdidFranklearnfromtheexperiences?A.Itwaspleasanttolearn aboutaforeigncountry.BecauseitcanmakeourlivesmorewonderfulandhelpusB.Difficult times could bring strength to people.becomebetter.55.Whatcanwesharewithourgoodfriends?C.There were many differences among cultures.Experiences,feelings and thoughts.(A)47.What is thebest titlefor thispassage?56.IfTomoften talkswithhisfriend,whatkindoffriendshipdoesA.Mylife in another countryhehave?B.MyFinnish learning journeyTheactivefriendship.C.Advice on living in a foreign country57.Howcanwekeeplifelongfriendships according to the text?（A)48.WhatwouldFrankwrite aboutafterthelastWeneedtolearnaboutourfriends,trydifferentactivitiesparagraph?withthemandcareaboutthem.A.Morestoriesbetweenthehostfamilyand58.Whatwillyoudoifyourfriendsmeetproblems?himself.Iwill lendahandtothem./Iwill helpthemsolvetheB.The amazingfacts about the beautiful country.problemsandencourage themtokeepgoing./...C.His future plans for living in Finland.D请阅读下面语篇，根据其内容，从方框内所给的选项中选出能填(A)入空白处的最佳选项，使其意思通顺。选项中有一项为多余项。Being different isn’t about standing out；it's about being true to请阅读下面语篇，根据其内容，在空白处填入适当的单yourself.Whenyouaccept（接受）whatmakesyouspecial,lifebecomes词，使其通顺、连贯。每空一词。brighter.(49)Improvecreativity（创造力）词语运用Not long ago,a story about friendship gotPeoplewho are differentfrom others usually see things innewways.popular on theinternet.Whenyou thinkdifferently,you askfreshquestionsandfindunexpectedanswers.（50)BSo ifyoufeel different,use it—yourmind canCatharina,(59)anAmericangirl,shared a video（视create surprisingthings!频)online.Shewanted to find Simon,a Chinese exchangeA.Realfriendswill findyou.student.Theymet in 2017atherschool and becamegoodB.Thiscan bringyou some great ideas.friends.However,they lost touch after Simon went back toC.ThinkabouthowtomakefriendsquicklyChina.Severalyearslater,Catharina still wanted toget inD.So,ifyou everfeel like an outsider,dont besadE.Here are several reasonswhybeing differentbringsmorejoy.touchwith him,（60)SOsheposted thevideo toaskF.Whenyoufocus onyourinterestsinsteadoffollowingothers,youmayfor help online.find treasures.3

11-15 AABCB16-20 CAACB21-25ADCBA26-30 DCDAC31-35ACDBA36-40 DGABF41-45 CABDA46-50 BCDBA51-55 BCDCD56. at57.tasty58.a59. pleasure60. Filled61. to firm62. pieces63. is added64. Gently65. that / which写作第一节【写作提示】文章分两段展开。第一段简单地针对Jack想学中国毛笔字表达支持和鼓励；第二段重点向Jack推荐老师并陈述推荐理由，最后可表达愿意帮忙约见老师。One possible version:Dear Jack,Glad to know that you want to learn Chinese calligraphy. It' s a fantastic art form that carries deepenjoyable!For a teacher, I highly recommend Mr. Zhang, who is a local calligraphy master and has beenteaching Chinese calligraphy for many years. Not only does he have a high proficiency in variousstyles but he also has a patient, encouraging teaching style,which I think will be great for you.Hisclasses are relaxed yet structured,making them perfect for beginners.Many beginners like meof his instructions. I can help arrange a meeting time if you'd like.Yours,Li Hua第二节【写作提示】作者的儿子以前每年都给作者寄来绚烂的秋叶，后来他们一家搬到了一个秋叶颜色不丰富的地方，所以作者决定给孙女们寄秋叶。根据续写第一段开头语可知，本段应写出作者给装树叶的盒子增加的装饰，可以写画上了图案、加上了干花并附上了便条等。另外还可写作者邮寄秋叶的过程以及急切盼望收到孙女们的反馈的心情。根据续写第二段开头语可知，本段应写两个孙女如何处理收到的秋叶，如把树叶洒到院子里或保存到屋里等。本段还可以写孙女们和作者的感受。最后可用“树叶缩短了距离、架起了两代人沟通的桥梁”等升华主题。One possible version:I placed the dried leaves in two boxes, adding something special to each one.There werelittle touches —hand-drawn smiley faces on the lids, small bags of dried flowers for a calmingsmell, and handwritten notes that said, *May these leaves bring you a piece of Nana’s fall magic.""After sealing the boxes with care, I walked to the post office, imagining my granddaughters?smiles as they opened them. As I sent them off, a mix of excitement and nervousness filled me andI couldn't wait to hear how my granddaughters would react.Two days later, my granddaughters called to tell me what they had done with their leaves.My

1、[真题密卷]2024-2025学年度学科素养月度测评(二)2历史试题2、江西省2025届九年级训练（二）物理试题1、江西省2025届九年级训练（二）政治试题1、江西省2025届九年级训练（二）政治答案1、定边四中2024~2025学年第一学期高二期中3、[上饶一模]江西省上绕市2024届高三第一次高考模拟考试生物试题1、上进联考 上饶市2024届高三六校第一次联合考试化学试题1、2024届智慧上进 高三总复双向达标月考调研卷(五)5数学试题1、[智慧上4、［益卷］陕西省2025-2026学年度第一学期七年级课后综合作业（一）地理试题1、山西省2025-2026学年第一学期阶段质量监测（一）八年级物理答案1、安徽省芜湖市2024-2025学年度第一学期九年级素质教育评估试卷政治答案5、安徽省芜湖市2024-2025学年度第一学期九年级素质教育评估试卷政治试题1、安徽省芜湖市2024-2025学年度第一学期九年级素质教育评估试卷政治答案1、安徽省芜湖市2024-2025学年度第一学期九年级素质教育评估试卷政治答案

1、[真题密卷]2024-2025学年度单元过关检测(八)8历史答案1、[真题密卷]2024-2025学年度单元过关检测(八)8历史答案2、吉林省2024-2025学年名校调研系列卷·九年级期中测试（J）政治答案

1、安徽省芜湖市2024-2025学年度第一学期九年级素质教育评估试卷政治答案1、安徽省芜湖市2024-2025学年度第一学期九年级素质教育评估试卷政治答案1、安徽省芜湖市2024-2025学年度第一学期九年级素质教育评估试卷政治答案

1、江西省2027届七年级训练（二）语文试题1、江西省2025届九年级训练（二）化学试题1、江西省2025届九年级训练（二）政治答案1、中考2024年安徽省初中学业水考试(试题卷)答2、上进联考 2023-2024学年江西省高三年级二轮复阶段性检测语文试题1、上进联考 2023-2024学年江西省高三年级二轮复阶段性检测历史试题1、上进联考 2023-2024学年江西省高三年级二轮复阶段性检测政治试题

1、江西省2025届九年级训练（二）期中数学（北师大）试题1、江西省2025届九年级训练（二）化学试题1、江西省2025届九年级训练（二）历史试题1、河北省2024-2025学年第一学期七年级教学2、陕西省2024-2025学年度第一学期九年级阶段性学效果评估（四）化学试题1、陕西省2024-2025学年度第一学期九年级阶段性学效果评估（四）数学试题1、陕西省2023-2024学年度七年级第一学期阶段性学效果评估历史(人民教育)答案

1、江西省2026届八年级训练（二）生物试题1、2024年广东省中考信息押题卷(三)3试题(数学)1、山西省2024年中考总复专题训练 SHX(一)1化学试题1、山西省2024年中考2、江西省2025届九年级训练（二）期中数学（北师大）试题1、[云南师大附中]云南省2025届高考适应性月考卷(一)[白白白黑黑白白黑]数学试题1、云南师大附中(云南卷)2025届高考适应性月考卷(一)(白白白黑黑白白黑)历3、上进联考 2023-2024学年第一学期高二年级期末测试英语答案1、上进联考 2023-2024学年第一学期高二年级期末测试生物答案1、[上进联考]2023-2024学年第一学期高二年级期末测试(1月)英语答案