23.（本题满分7分）某中学举办“绿色循环”爱心义卖活动，所有物品均为学生捐赠的闲置书籍、文具、手工艺品和绿植盆裁，统一售价5元/件，活动筹得的普款将用于资助山区小学图书角建设.校团委随机调查了40名参与活动的学生的购买情况，并用得到的数据绘制了统计图（如图所示）请根据相关信息，解答下列问题：（1）图1中m的值是_；这40个数据的众数是（2）求这40名参与活动的学生购买的总金额（3）已知该校有1200名学生，请估计该校购买金额不少于20元的学生人数10元人效15元20元25元%10152025购买金额/元图1图2（第23题图）24.（本题满分8分）如图，OO是△ABC的外接圆，BC为直径，延长AC到点D，BD与OO交于点E，F为BD的中点，连接AF，AF⊥BC于点H.（1）求证：AB=AE（2）若AB=6，AD=9，求BE的长（第24题图）【2025年陕西省初中学业水考试·数学冲刺（二）第6页（共8页）】
听力材料请阅读下面语篇，根据每段内容，从方框内所给的选项中选出适当的小标题。I'm Li Wei from Taiyuan.Last October,I took a tripAtweekends,peoplehave different ways torelax.Which doyoutoSanya.I learned a lot about this city.七prefer（更喜欢），stayingathome or hangingoutwith friends？Let’scompare themandseewhichisbetter.The sights in Taiyuan andSanya are quite different.阅读理解A.Which is safer?Taiyuan is acitywith alonghistory.PeoplecanseelotsB.Which is cheaper?ofancientbuildings here.InSanya,there are seasandC.Which ismore exciting?beaches.Peoplecan tryexcitingwatersportsthere.D.Which can help you save more energy?E.Whichcanhelpyourelease（释放）morestress（压力）？Sanya has a smallerpopulation than Taiyuan.Life（34)Dthere ismorerelaxing.Theweather there iswarmerAthome,mostactivitiesarenot tiring.You canrestyour mind andthan that in Taiyuan in October.The temperature isbody.However,hangingoutwithfriends takes energy and time.You needbetween23°Cand30°C.tomakeplansearly.Aftergoingout,youwillwalkandtalkalot.(35)BSanyaisapleasantplace-forpeopletohavefun.IMost activities at homearefree.You canwatchTVandlisten toexpecttotravel toSanyaagainthisOctober.musicat anytime.When hangingout,you andyourfriendsusuallypayforfood,tickets（票）andsoon.请根据下面的对话内容，在空白处填上一个适当的句子，使对话A.Which is safer?的意思连贯、完整。B.Which is cheaper?C.Which is more exciting?Julie五补全对话D.Whichcanhelpyousavemoreenergy?E.Whichcanhelpyourelease（释放）more stress（压力）？Rose,thenewpictureonyourWeChat Moments（微信朋友圈）looksnice.(36)CMostof thetime,yourhouseisquietandyoufeelpeaceful athomeWhenyouhangoutwithfriends,youalwaysfeelexcited.Youcanmeet(21)Where didyou take it?differentpeopleandhavenewexperiences.I tookit in Qingdao,Julie(37)AStayingathomemeansyoureina familiarplace.AccidentsseldomQingdao?Itisabeautiful city.happen.Butwhenyougoout,youneed tobecareful when crossing thestreet.Also,youhavetokeepaneyeonyourthingsincrowded（拥挤的）places.(22)Areyou still there now?(38)EIfyou stayat home,you may thinkmore but talkless.When hangingNo.Icame back thisafternoon.out,you can shareyourjoysandworrieswithfriends.Also,you canbreathemorefreshair.Thenyou'llfeel lessstressedBOh.Whois thegirlonyourrightin thepicture?(23)You(two)lookYalikbethhavebigeyes andround（圆的）facesLilymadeagrowthprofile（成长档案）torecordherchanges.My Growth ProfileShe ismy sisterEmma.PastNowShe looks taller thanyou.(24)Is she older thanyou?I canride a bike.SkillIdidn’thave many skills.Yes.She is twoyears older thanmeIamgood atmakingsweetfoodcould onlyplay thepiano.like biscuitsAreyourpersonalitiessimilar?No.(25)Sheismore And shehasa greatsenseofhumour.outgoing thanme./..请阅读下面语篇，理解其大意，然后从每小题所给的A、B、C三Iwastooshytotalktoothers.I'mmore outgoingandIlike个选项中，选出一个能填入空白处的最佳选项。Iwasafraidof tryingnewtalkingwithdifferent people.OakridgeandWillowvilleweretwoverydifferentschoolsintown.things.Ienjoytryingallkindsofactivities.六完形填空Thestudentsateachschoolwouldliketo26_adayattheotherschool.Ihave lotsoffriendsin thereadingThen the schools decided to try something amazing:a school exchangeIdidn'tknowgoodwaysclub.We exchange opinions ongoodday27somestudents！Friendofmaking friends.Ihadbooks.Because of the same interest,EmilyfromOakridgeandHelenfromWillowvillewereamongthefewfriends.28discoveredtheweoftenhavefun together.students.Their day began witha tour,and theydifferences between their schools.Emily lovedWillowville'srelaxingMathswasdifficult forme.I'mmorehard-working.Ioftenaskreading corner.Helenliked Oakridgesbigplayground.StudyIoften made mistakes inteachersandclassmatesforhelpIn class,Emily learned aboutWillowvillesspecial29_like animalexams.Now my maths improves a lot.care.Sheevengottofeed the classroompetrabbit.HelenhadgreatfuninOakridgesartclass.Mylifeis happiernow,andI（B）26.A.forgetB.experienceC.describelike every stepof mygrowth.（B）27.A.intoB.forC.against（C）28.A.hopefullyB.hardlyC.quickly(A）29.A.subjectsB.rulesC.classroomsAfterlunch,Emily30afootballgame.She'dneverplayedbefore,but theother children invited her togive it a try.Helen attendedOakridge's danceperformance and foundpleasurein meeting a nice（B)39.WhatcanLilydonow？team.①Play the piano.②Ride abike.Attheendoftheschoolday,EmilyandHelensaidgoodbyetotheirnewfriends31theywentbacktotheirownschools.Theydecidedto?Play the guitar.Makebiscuits.keepintouch（保持联系）andmeetupagainsoon.A.①②③B.①②④C.②③④The exchange daymade thetwoschools32The studentslearnedthatalthough theyhaddifferentactivities,therewasa33between（A)40.Which of the followingcan beput inthem.Themagicoffriendshipandtheloveoflearningconnected（连接）A.Personality.themall.B. Hobby.B)30.A.workedoutB.tookpartinC.reached out forC.Appearance.(A）31.A.beforeB.becauseC.but（B）32.A.fasterB.closerC.harder(C)33.A.goalB.mirrorC.similarity
M:Well, we arrive on September 24th — that's a Wednesday.We can take a break and go the nextday.W: Sounds good.(Text 8)M: Listen, Anna, why don't you and the student council members join us for this year'sTree-Planting Day? It's going to be a really meaningful event!W: That sounds awesome! When is it happening?M: It's on Friday, from 9 am to 4 pm.We'll meet in the lecture hall at 9 am to get started. After that,we'll head to different areas of the campus, including the garden and the open spaces'by the sportsfield.W:What exactlywill we be doing throughout the event?M: Well, we'll start with a short ceremony and Mrs. Brown will give us a quick lesson on how toplant the trees properly. Once thats done, we'll divide into teams to plant the trees. The studentcouncil can help organize and guide the teams.W: Got it! I'm sure the student council members will love to help.(Text 9)M: Emily, you started climbing when you were really young, right?W: Yes, when I was only seven. Back then, my mom often took me to climbing clubs to learn. ButM: So you've never stopped climbing?W: Absolutely not! I've had the chance to climb many mountains in Asia, including Mount Tai.I've also participated in lots of rock climbing competitions. But the most memorable part wasdefinitely climbing theRockyMountainsM: Climbing is a demanding sport. What essential equipment do you need to start?W: Besides professional climbing tools, you'll need strong, supportive shoes, and investing in agood climbing jacket is crucial. I have a custom-made orange jacket that a designer friend madefor me in 2022. It's incredibly warm and comfortable -— perfect for cold climbs.M: Is climbing a competitive sport like running or swimming?W: Not really. For me, I prefer the peace and quiet it offers. It's more about pushing your ownlimits and enjoying the natural beauty around you. But safety always comes first, and we alsoclimb as a team sometimes.(Text 10)Good afternoon, everyone. Welcome to the first class of our new course in Positive Psychology.Positive Psychology looks at how tohelp people become happier. Let's start with a question:whatmakes a happy life? Some people believe the greatest joy in life comes from achieving their goals.Others might say it's about having their loved ones by their side.Here's the answer fromMihaly,aHungarian psychologist. A happy life is one in which you are completely absorbed in what you aredoing.This answer comes from his theory of flow.The theory can be summarized like this: whenyou are fully engaged in what you are doing, you are in a state of flow. Mihaly was inspired todevelop this theory when he noticed how artists worked in their studios.They completely losttrack of time, didn't notice they were hungry or tired, and could work for hours, even days. It wasas if they were in a river, where the flow of the water carried them away.参考答案1-5BCBBA6-10 CACAC
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