【解析】：（1）由ADEF为矩形可得：AFI/DE，又AB/ICD，且AB∩AF=A，CD∩DE=D，故面ABF//面CDE;.4分（2）如图，取CD中点M，连接BM，EM，因AD//BM/IEF=BF//EM，所以ZCEM即为异面直线BF与CE所成角的面角；设DE=α，处理一：（正切和差公式）2.1√2atanCEM=tan(CED-MED)=当且仅当a=√2时取等。a²+22√2a处理二：（余弦定理）a²+4+a²+1-1a²+2a22√2cosZCEM =当且仅当a=√2时取等。2√a² +4√a² +1√a*+5a²+4a4+5a²+493处理三：(空间对棱向量夹角公式)a²+2a²2√22|BF|CE√a+5a²+493当且仅当a=√2时取等。（注明：使用此公式务必要证明，无证明适当扣分）处理四：（米勒最大张角问题）由圆幂定理可得：过C,E,M 三点的圆与 DE 相切，即 DE²=DM·DCα=√2 。..10分（3）过点E作EN⊥FC，即面BCF与面ECF所成角即为直线EN与面BCF所成角EF·EC_2√6因DE=2，EN=设点E到面BCF的距离为h，CF3由 VE-BCF =VB-ECF =VM-ECF =VF-ECM ， S△BCF =21h即√6.h=.1.2=h=故sinα：333EN（其他方法也相应给分）..17分

绝密★启用前萍乡市2024—2025学年度第二学期期中联考高二数学试卷试卷共4页，19小题，满分150分。考试用时120分钟。注意事项：2.答卷前，考生务必将自己的姓名、准考证号等填写在答题卡指定位置上。3.回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。如需改上无效。4.考生必须保持答题卡的整洁。考试结束后，请将答题卡交回。一、选择题：本题共8小题，每小题5分，共40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f（1+2△x)-f（1)1.已知f′（1）=1，则limx1C.2D.4A.B.122.已知数列{an满足a=a2=1，若an+2-1，则a4=a+an+11D.2B.C.1293.已知f（x）=√x+1-a，若f′（0)=，则f（3）=G二一艺B.-1CD.128211B.C.243D.729A7292435.已知气球的体积V（单位：L）与半径r（单位：dm）之间的函数关系是V=4，气球半径TTr3球体积V的导数被称为气球的瞬时膨胀率，则当气录的瞬时膨胀率为一时，体积为4T2πT4πTA.TLB.2πLC.D.33萍乡·高二数学第1页（共4页）

2025-2026学年度上学期高三9月起点考试高三数学参考答案23467891011DADCABBDABCABDABD9√312.113.3214.241、解：易知：AnB={0,2,3}，故选D。2、解：令x=y=z=1，则（1-3-4)=-216,故选A。3、解：在等比数列中，a2a4=a3，a4a6=a²，由a2a4+2a3as+aa=36，得：a²+2ajas+a²=36，即：（a+as）²=36，又an>0,a3+as=6,a=1，即q²+q²=6，得q=√2，S100=（250-1）（√2+1），所以故选D。2bc所以B=180°-45°-60°=75°。故选C。5、解：点P（x,y）是双曲线x²-y²=1上的动点，.x²-y²=1即x²=y²+1，yER，PA·PB=(2-x,-y)-（-2-x,-y)=x²-4+y²=y²+1-4+y²=2y²-3≥-3,故选A。又|AD|=1,|AB|=2,:2AB·AD=1。|AC|=|AD+AB}=、√（AD+AB)²=√AD2+AB²+2AB·AD=√1+4+I=√67、解：由：PF+PF=2al，PF-PF=2a2得：PF1=a+a2，PF=a1-a2；故V6故选B。8、解：当0≤x≤1时，0≤1-x≤1，1≤1+x≤2。.f（1+x)=[2-（1+x)][（1+x)-1]e2-（1+x）=（1-x)(2-x）el-x，f（1-x)=（1-x)[1-(1-x)]el-x=（1-x)xel-x，即：f(1+x）=f（1-x)，所以f（x）关于直线x=1对称，A错误。2-1+√5X1=由f（x）>0解得，0

DAn advanced,multifunctional research ship thatrecently concludedits first sea trialwill becommissionedbyChinainthenearfutureTheTansuo3,orcalledExploration3,wasjointlydesignedbyresearchersfromtheChineseAcademyofSciences'InstituteofDeep-seaScienceandEngineering,ChinaStateShipbuildingCorp'sGuangzhouShipyard（造船厂）Internationalandotherresearchorganizations.ItsconstructionbeganinJune2023 at the shipyard and themainbodywas completed inApril.Thevessel underwent an eight-daytrialvoyagein late October and then returned to the shipyardthrough more sea trials,according toHe Guangwei,deputy chief engineer of Guangzhou ShipyardInternationaland thevessel’schiefdesigner.During thetrialoperation,engineerstested the ship’scapabilities andperformance,includingits speed,the ability tobe controlled,operational noise andinformationcapacityand theresultsweresatisfactory.Itisscheduledtostartoperatinginearly2025,he said on Friday.Measuring104metersinlengthandwithaweightofabout10,000metrictons,theTansuo3hasa maximumspeedof16knotsor29.6kilometersperhour andcansail asfaras about27,800kmin asinglevoyage.It is runby80 crewmembers,including sailors and scientists.Thenewshipwillgreatlyimprovethecountry'sdeep-seascientificexplorationefforts,helpingscientistsbetter understand the deep-sea ecosystem,geological structures and the distribution ofmarineresources.Chinahasinvestedheavilyinitsoceanicresearchand hasbuilt asubstantialfleetofsurveyshipsOnSundaythenation’sfirstdomesticallydesignedandbuiltdeep-oceandrillingship,namedMengxiangorDream,wasdeliveredtotheChinaGeologicalSurveyundertheMinistryofNaturalResource,whichwillbeusedtodrillthroughtheEarth'souterlayerandintothedeepertoseekforresourcesandcollectsamples.32.What does the word“commissioned" in the first paragraph probably mean?A.taken apart.B. put into use.C.sold out.D.given up.33.WhatdidtheTansuo3doimmediatelyafteritstrialvoyageinlateOctober?A.Initial design evaluation.B.Constructionsafetycheck.C.Deep-sea exploration test.D.Final equipmentimprovements.34.Howisthefourthparagraphmainlydeveloped?A. By listing technical figures.B.By making assumptions.C.Byanalyzingcause andeffect.D.Byusingpersonal anecdotes.35.Whatisthemainideaofthelastparagraph?A.TooutlinetheTansuo3technicalmeasurementsB.TocontrasttheTansuo3withpolarexplorationvessels.C.TohighlightChina'sfinancial commitmentstomarineresearch.D.TostresstheTansuo3'simpactandChina'sprogressinmarineresearch高二英语试卷第6页（共10页）

阶段测试卷（四）英语参考答案及评分意见听力答案解析网1-5 CAABA6-10BCBAC11-15BAABC16-20 ACBCB 答案解析网阅读答案解析网A篇本文是一篇应用文。文章介绍了四个与野生动物保护有关的志愿者活动。21.A细节理解题。根据文章第二段中的“We need passionate volunteers at Rescue Center Costa Rica to care for ourinjured and homeless animals，including monkeys， sloths,kinkajous，coatis，and exotic birds.”可知,志愿者在哥斯达黎加救援中心主要是负责照顾受伤和无家可归的动物们。答案解析网22. D细节理解题。根据 Animal Keeper Assistant 部分中的“Help the animal keepers provide the best care to animalsin need and make a significant impact on conservation.”"可知,担任动物饲养员助理这个职务的志愿者需要提供援助,去帮助动物饲养员给那些需要帮助的动物们提供最佳护理。答案解析网23.C推理判断题。根据文章第一段中的“Looking for meaningful volunteer opportunities in wildife conservation?Checkout theseexcitingprograms!”可知，文章介绍了四个与野生动物保护有关的志愿者活动，也就是说文中这四个活动都与野生动物保护有关。答案解析网B篇本文是一篇记叙文。文章主要介绍了DavidKatz在童年时期对海洋塑料污染的印象，以及他后来创建PlasticBank来解决海洋污染问题的过程和取得的成就。答案解析网24.B细节理解题。文章第一段提到，小时候，在温哥华岛的海滩上玩耍时，DavidKatz被海岸上冲刷的塑料垃圾的数量震惊了。海洋塑料污染的画面给他留下了深刻的印象，并激发了他解决这个问题的愿望，希望能带来有意义的改变。由此可知,DavidKatz的童年经历激励他解决海洋塑料污染问题。25.A段落大意题。文章第三段提到，PlasticBank的模式以收集社区为核心，这些社区通过交换废弃塑料来获得收入。社区成员将他们的塑料废弃物交给PlasticBank并获得报酬后，PlasticBank会对这些塑料进行回收，并生成Social Plastic原料。这种回收材料会重新进人供应链，减少对生产新塑料的需求，同时支持塑料循环利用一通过延长材料的使用时间,然后将其回收用于制造新产品，从而更有效地利用塑料。由此可知,本段主要围绕PlasticBank的运营方式展开。答案解析网26.B推理判断题。文章倒数第二段提到，多年来，该组织已经取得了显著的里程碑。从最初在阿拉斯加的试点项目,到在东南亚、拉丁美洲和非洲发展了550多个回收社区,Plastic Bank已经阻止了超过1亿公斤的塑料污染我们的海洋，并结合文章最后一段“我们正在筹备中的倡议旨在扩大我们运动的影响力，帮助那些希望为可持续经济未来做出贡献的人都能参与其中”可知，PlasticBank具有全球影响力和覆盖范围。helping to make it accessible to all who wish to contribute to a sustainable economy future."可知,他对 Plastic Bank的未来持乐观态度。答案解析网C篇本文是一篇说明文。文章主要介绍了加拿大滑铁卢大学的研究团队利用雷达技术将车辆转变为移动医疗中心，监测驾驶者的健康状况，提供个性化的医疗报告和紧急通信。答案解析网28.D细节理解题。根据第一段“a research team from theUniversity of Waterloo uses radar technology to monitorpeople's health while at the wheel, turning an ordinary car or truck into a mobile medical center."以及第二段的“Dr.George Shaker... is working with a team of graduate students to combine radar with evolving vehicle technology tomakehealthcheckseasier.”可知，雷达技术结合车辆技术，来评估驾驶员的健康状况。29.C推理判断题。根据第五段 Ali Ghara 说的话“We focused on enhancing data collection for exact informationrelated to people's respiratory and cardiovascular systems and teaching the Al how to make medical interpretations fromthis data.”可知,研究团队正在加强雷达的数据收集能力和教AI对医学数据进行解释。由此可推知，团队正在改善数据收集和分析的能力。答案解析网30. C细节理解题。根据最后一段的“The research team is building on this work to expand the radar technology’squality medical reports that mark any issues that need attention, as well as assist with emergency communication in the英语答案 第 1 页(共6页)

2024-2025学年下学期高一牛津（JSS）第57、60期参考答案及详细解析选择性必修一Unit4综合检测题参考答案及部分解析参考答案1-5CCBAB6-10CABBC11-15ABACB 16-20CAACA21-25CBADA 26-30CDDAB31-35CACBD36-40GAEDF41-45DCABD 46-50ACBDC51-55ABDAC56.creative57.walked58.what59.reflecting60.his61.immediately62.description63.to64.to give65.and写作（划线部分为精彩表达）第一节Onepossibleversion:Dear Eric,I'mwritingtoinviteyoutojoinourteamfortheEnglishpoetrywritingcompetitiontobeheldbyourschool'sEnglishclubnextweekAsanenthusiasticpoetry loverwithsomeexcellentworks,youwillbringfreshideastoourwork.team.Wewould appreciateit ifyoucouldcontributeyourideas andhelprefineourpoems.Lookingforwardtoyourpositivereply!Yours,LiHua第二节One possible version:Emilydecided toexplainhow it had happened.She tooka deepbreath and said,“ accidentallyknockedthevaseoff theshelfwhenIwaslookingforabook.Ididn'tmeantobreakit,andI'mreallysorryAsshe spoke,shefearedherparentswouldblame her.Tohersurprise,hermothergentlysaid,“Accidentswill happen,Emily.What matters is thatyou'rehonestwith us."Herfathernodded in agreement,reassuring her that they would find a way to deal with the situationtogether.Although her parents didn't blame her,Emilyresearched ways tofixbrokenvases.She learnedabouttechniquesforrepairingbrokenporcelainvasesonline andevenvisited anartshoptofindsupplies.Sheaskedherparentstohelp,and theyspenthourspiecingtogetherthevase.ThevaseEmilyplaced itbackon theshelf.Sheknewthatwhileshecouldneverreplace theoriginal,shehad createdsomethingmeaningfulfromheraccident.部分解析阅读

听第9段材料，回答第13至16题。答案解析网13. What did the speakers probably do before the conversation? 答案解析网A. They did shopping.B. They moved home.C.They decorated offices.14.Why will the woman go home late？答案解析网A.Her office is too far away.答案解析网B. She has a meeting to attend.答案解析网C. She needs to meet.her brother.答案解析网15.Why does the man dislike his new office？答案解析网A. It is very small.B. It is far from home.C. It is in a noisy place.16.What is theprobablerelationshipbetween the speakers？答案解析网B. Colleagues.A.Brother and sister.C.A couple.答案解析网听第10段材料，回答第17至20题。答案解析网17.What does the speaker probably do？答案解析网B. A show guide.A.A science teacher.C.An enthusiastic tourist.18.What can listeners do on the ground floor？答案解析网A.Buy some souvenirs.答案解析网B. Speak to Dr.Charles.答案解析网C.Watch videos of UFO sightings.答案解析网19.What is on thefirstfloor？答案解析网A. A coffee shop.B. A library.C. A photo studio.20.What are available at the reception desk？答案解析网B. Film tickets.A.Guidebooks.C.Gifts.答案解析网第二部分阅读（共两节，满分50分）答案解析网第一节（共15小题；每小题2.5分，满分37.5分）答案解析网阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项。答案解析网A 答案解析网FirstAid CourseforthePublic答案解析网Whychoosethiscourse？答案解析网This course is for anyone over sixteen who wants to learn first aid for their everyday life,rather than as a requirement of their job(in which case a workplace course could be moresuitable).It is ideal for people who are more likely to need to use first aid,if they playsports,enjoy travelling,commute regularly or care for a relative.It covers a wide range oflife-saving skills such as heart attack, choking and more. And it attracts people who are eagerto learnfirst aidfor alotofdifferentreasons，such as：答案解析网·wanting to be able to help their family，friends or neighbors 答案解析网·preparing for university or working abroad during a gap year 答案解析网·participatingin local community groups or sports clubs 答案解析网·having experienced a real life emergency 答案解析网What is covered on thisfirst aid course？答案解析网You will have hands-on experiences. Our friendly and experienced trainers will help youto learn a number of key skills that you really need to know: dealing with an emergency,seizures（），burns，bleeding heavily，broken bones，head injury，choking，heart attack，stroke and severe allergic reaction.答案解析网Time andprices 答案解析网DateTimePrice4hours(plus 30-minute lunch) On Saturdays37.5010:00-14:30Otherinformation：答案解析网·You'll receive a free first aid workbook full of helpful advice; this can be taken homeand used to check andrefresh yourknowledge.答案解析网● The workbook includes your certificate of learning, which you can fill in yourself.【2026届高三单元卷·英语（十五）第2页（共8页）】

1、［益卷］2024-2025学年度第一学期九年级课后综合作业（二）语文试题1、益卷 陕西省2023~2024学年度九年级第一学期课后综合作业(三)3英语A(统编版)答案虑。英、美拼写及词汇用法均可接受。(3)书写较差以致影响交际的，酌情扣分。二、2、河南省2024-2025学年第一学期九年级教学质量检测二数学答案1、河南省2024-2025学年第一学期八年级学情分析二数学试题1、河南省2024-2025学年第一学期七年级学情分析二英语答案四、词语运用（本3、明思教育·河北省2024-2025学年度第一学期七年级教学质量检测二语文试题1、明思教育·河北省2024-2025学年度第一学期七年级教学质量检测二历史答案1、河北省2024-2025学年第一学期七年级教学质量检测二地理答案

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1、河北省秦皇岛市某校2024-2025学年第一学期期中演练九年级语文试题1、河北省秦皇岛市某校2024-2025学年第一学期期中演练九年级化学试题1、湖南省2024年九年级（上）月考试卷（一）语文答案1、[第一2、河南省2024-2025学年度第一学期八年级第一次学情分析政治试题1、河南省2024-2025学年度第一学期八年级第一次学情分析地理（中图版）答案1、河南省2024-2025学年度第一学期九年级第一次学情分析数学试题3、江西省2025届九年级期中第二次月考（短标）物理试题1、江西省2025届九年级期中第二次月考（短标）化学试题1、更新时间通知！l物理试卷 答案(更新中)1、安徽省2023-2024学年度第一4、河南省2023-2024学年九年级第一学期学情分析二化学试题1、河南省2023-2024学年九年级第一学期学情分析二历史答案1、河南省2023-2024学年九年级第一学期学情分析二生物答案1、河南省5、金太阳2024-2025年度上学期河南省高一年级选科考(25-110A)政治试题1、河北省2024-2025学年第一学期七年级教学质量检测二语文试题1、河南省2024-2025学年第一学期九年级教学质量检测二历史试题1