2026年贵州9+3单招数学英语试题(附答案)

2026年贵州9+3单招数学英语试题(附答案)单项选择题（本大题共10小题，每小题5分，共50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.已知集合A={1,2,3,4}，B={x|x²-3x=0}，则A∩B=A.∅B.{3}C.{0,3}D.{1,2}2.不等式|2x-1|<3的解集是A.{x|-1<x<2}B.{x|x<-1或x>2}C.{x|x<2}D.{x|x>-1}3.函数f(x)=√(x+2)+1/(x-1)的定义域是A.[-2,+∞)B.(-2,1)∪(1,+∞)C.[-2,1)∪(1,+∞)D.(1,+∞)4.已知sinα=3/5，α∈(π/2,π)，则cosα=A.4/5B.-4/5C.3/4D.-3/45.已知向量a=(1,2)，b=(m,-1)，若a⊥b，则m=A.-2B.2C.1D.-16.等差数列{aₙ}中，a₁=2，a₃+a₅=12，则a₇=A.8B.10C.14D.167.一个不透明袋子里有3个红球2个白球，所有球除颜色外完全相同，随机摸出两个球，两个都是红球的概率是A.3/10B.1/2C.9/25D.3/58.下列命题正确的是A.垂直于同一直线的两条直线互相平行B.平行于同一平面的两条直线互相平行C.如果一条直线垂直于平面内的两条相交直线，那么这条直线垂直于这个平面D.如果一个平面内有两条直线平行于另一个平面，那么这两个平面平行9.过点(1,2)且与直线2x-y+1=0平行的直线方程是A.2x-y=0B.2x-y+1=0C.x+2y-5=0D.x+2y-4=010.复数z=(1+i)(2-i)的模是A.√5B.√10C.5D.10填空题（本大题共5小题，每小题4分，共20分）11.已知幂函数f(x)=xᵏ过点(2,8)，则k=____12.二项式(x+1/x)⁶的展开式中的常数项是____13.已知tanα=2，则(sinα+cosα)/(sinα-cosα)=____14.抛物线y²=8x的焦点坐标是____15.已知圆柱的底面半径为1，高为2，则该圆柱的侧面积为____解答题（本大题共3小题，每小题10分，共30分，解答应写出文字说明、证明过程或演算步骤）16.已知等比数列{aₙ}的公比q>0，a₂=2，a₄=8，求：(1)数列{aₙ}的通项公式；(2)数列{aₙ}的前10项和S₁₀。17.已知△ABC中，内角A,B,C的对边分别为a,b,c，a=3，b=2√3，A=60°，求：(1)角B的大小；(2)△ABC的面积。18.已知函数f(x)=x³-3x+1，求：(1)f(x)的单调区间；(2)f(x)在区间[-2,2]上的最大值和最小值。参考答案：1-5：BACBB6-10：BACAB11.312.2013.314.(2,0)15.4π16.解：(1)由等比数列性质得a₄=a₂q²，代入已知条件得8=2q²，解得q²=4，因q>0，故q=2。又a₂=a₁q=2，得a₁=1，故通项公式为aₙ=a₁qⁿ⁻¹=2ⁿ⁻¹。(5分)(2)等比数列前n项和公式为Sₙ=a₁(1-qⁿ)/(1-q)，代入a₁=1，q=2，n=10得S₁₀=(1-2¹⁰)/(1-2)=1023。(5分)17.解：(1)由正弦定理a/sinA=b/sinB，代入a=3，b=2√3，sinA=sin60°=√3/2，得3/(√3/2)=2√3/sinB，解得sinB=1，因B为三角形内角，0°<B<180°，故B=90°。(5分)(2)三角形内角和C=180°-A-B=30°，面积S=1/2absinC=1/2×3×2√3×1/2=3√3/2。(5分)18.解：(1)求导得f’(x)=3x²-3=3(x+1)(x-1)，令f’(x)>0，解得x<-1或x>1，令f’(x)<0，解得-1<x<1，故f(x)的单调递增区间为(-∞,-1)和(1,+∞)，单调递减区间为(-1,1)。(5分)(2)计算区间端点及极值点的函数值：f(-2)=(-2)³-3×(-2)+1=-1，f(-1)=(-1)³-3×(-1)+1=3，f(1)=1³-3×1+1=-1，f(2)=2³-3×2+1=3，故f(x)在[-2,2]上的最大值为3，最小值为-1。(5分)语音题（本大题共10小题，每小题2分，共20分，从下列每组单词中，找出划线部分读音与其他三个不同的选项）1.A.cakeB.nameC.bagD.late2.A.bedB.heC.penD.desk3.A.bikeB.fishC.milkD.swim4.A.goB.noC.homeD.hot5.A.useB.busC.cutD.cup6.A.thatB.thisC.threeD.those7.A.bookB.lookC.cookD.food8.A.walkB.talkC.halfD.wall9.A.sisterB.workerC.doctorD.her10.A.playedB.walkedC.missedD.stopped单项选择题（本大题共20小题，每小题2分，共40分，从每小题给出的四个选项中，选出最佳选项）11.---What’s____weatherliketoday?---It’ssunny.A.aB.anC.theD./12.Mymotheroften____deliciousfoodforusonweekends.A.cookB.cooksC.cookedD.cooking13.There____abookandtwopensonthedesk.A.isB.areC.hasD.have14.---____isyournewschoolbag?---It’s80yuan.A.HowmanyB.HowmuchC.HowoldD.Howlong15.LiMingis____thanhisbrother.A.tallB.tallerC.tallestD.thetallest16.I____totheGreatWalllastsummer.A.goB.wentC.willgoD.havegone17.---Wouldyoulikesomecoffee?---____.I’mnotthirsty.A.Yes,pleaseB.No,thanksC.HereyouareD.You’rewelcome18.Thegirl____iswearingareddressismyclassmate.A.whichB.whoC.whereD.when19.Weshould____ourhandsbeforemeals.A.washB.washesC.washedD.washing20.____interestingthemovieis!A.WhatB.WhatanC.HowD.Howan21.Myfatherusuallygetsup____6o’clockinthemorning.A.inB.onC.atD.for22.---CanyouspeakEnglish?---Yes,butonly____.A.littleB.alittleC.fewD.afew23.Ienjoy____booksinmyfreetime.A.readB.readsC.readingD.toread24.Ifit____tomorrow,wewillstayathome.A.rainB.rainsC.rainedD.willrain25.---WhereisTom?---He____tothelibrary.A.hasgoneB.hasbeenC.goesD.went26.Thisis____classroom.____isoverthere.A.our;YoursB.us;YourC.our;YourD.us;Yours27.Workhard,____youwillpasstheexam.A.orB.butC.andD.so28.Thephone____byAlexanderGrahamBellin1876.A.inventedB.isinventedC.wasinventedD.invents29.Heran____fastthatnoonecouldcatchupwithhim.A.veryB.soC.suchD.too30.---Excuseme,couldyoutellme____?---Sure,it’snexttothesupermarket.A.whereisthenearestbankB.wherethenearestbankisC.wherewasthenearestbankD.wherethenearestbankwas完形填空（本大题共10小题，每小题2分，共20分，阅读下面短文，从短文后各题所给的四个选项中选出可以填入空白处的最佳选项）Itwasacoldwintermorning.Iwaswaitingforthebuswhenalittlegirlcameuptome.Sheaskedme31Icouldlendher1yuan.Shesaidshelostherwalletandneededtotakethebushome.Igaveherthemoneyrightaway.Shethankedmeandsaidshewouldpaymebackwhenwemet32.Ididn’tthinkmuchaboutit.But33mysurprise,thegirlwasatthebusstopthenextday.Shegaveme1yuanandasmallcard.Thecardsaid,“Thankyoufor34mewhenIwasintrouble.Yourkindnessmakesmefeel35inthecoldwinter.”Iwasso36tohearthat.Afterthat,Ialwaystrytohelppeoplewhoareinneed.Iknowevenasmallkindnesscanmake37bigdifference.Oneyearlater,Imetthegirlagainatacommunityvolunteeractivity.Shetoldmeshestartedtohelpothersafterthatday.Shesaidshelearnedtheimportanceof38fromme.Now,moreandmorepeoplejoinustohelpothers.Thesmallkindness39fromonepersontoanother.Justastheoldsayinggoes,“Rosesgiven,fragranceinhand.”Everyonecanbe40tomaketheworldabetterplace.31.A.ifB.whenC.whereD.why32.A.alsoB.tooC.againD.either33.A.inB.toC.forD.with34.A.helpB.helpedC.helpingD.tohelp35.A.coldB.warmC.sadD.angry36.A.movedB.boredC.nervousD.worried37.A.aB.anC.theD./38.A.happinessB.healthC.kindnessD.wealth39.A.passesB.passC.passedD.passing40.A.possibleB.impossibleC.necessaryD.unnecessary阅读理解（本大题共5小题，每小题2分，共10分，阅读下列短文，从每题所给的四个选项中选出最佳选项）Doyouknowabout“redtourism”?RedtourismreferstovisitinghistoricalsiteswheretheCommunistPartyofChinaoncefoughtduringtherevolutionaryyears.Guizhouisrichinredtourismresources.Forexample,theZunyiConferenceSiteisoneofthemostfamousredtourismspotsinChina.TheZunyiConferenceheldin1935wasaturningpointinthehistoryoftheCPC.Everyyear,millionsoftouristscometovisittheZunyiConferenceSite.Theycanlearnaboutthehistoryoftherevolutionarypioneers.TheycanalsoexperiencethespiritoftheLongMarch.BesidesZunyi,therearemanyotherredtourismspotsinGuizhou,suchastheSiteoftheLipingConferenceandtheSiduChishuiMemorialHall.Redtourismnotonlyhelpspeoplelearnabouthistorybutalsoimprovesthelocaleconomy.Manylocalpeoplerunhomestaysandsellspeciallocalproductstotourists.Theirlivesaregettingbetterandbetter.41.Whatisredtourismaccordingtothepassage?A.VisitingplaceswithbeautifulredflowersB.VisitinghistoricalrevolutionarysitesoftheCPCC.TravelinginredcarsD.Travelingwithredflags42.WhenwastheZunyiConferenceheld?A.1927B.1935C.1949D.197843.WhichofthefollowingisNOTaredtourismspotinGuizhou?A.TheZunyiConferenceSiteB.TheSiteoftheLipingConferenceC.TheSiduChishuiMemorialHallD.TheForb