leadershipintentionandmeaningintothetext.Althoughhiseyesnowwriteonlyarelativelysmallnumberofmaterials,butalsoquitedifficult,eventoamoldingmaterialherselfseemsnotverysatisfiedwiththequalityofserviceneedstobeenhanced.Threeisalotofworktoimplementpassive,activeandadvanced.Mostcontractorsdomattersassignedbytheleadership,workisoftenintheorders,toimplementthetask,donotwanttolead,notwanttothinkahead,planahead,andtoseektheleadership;seekdeepintotheresearch,provideinformationgoodstaffseek.Especiallyinthewritingprocessofmaterial,itencounteredmuch,timetight,heavybetweentherequirements.Andintheencounterthetediouswork,complexthings,sometimestakethemethodofescape,thatbridgetheboattothebridgestraight,nottheirownforcepleasefindcountermeasures,buttowaitfortheself,thelackofaspiritofhardresearch.Two,thecauseoftheproblemThroughtheanalysis,Ifeelthattherearemanyreasonsfortheseproblems.Oneideaisobsolete.Thefailuretodosystemresearchontheessenceofreadingtheoriginal,palmandmasterthetheoryofqualityreadwithoutthoroughunderstanding,hasnotbeeneffectively直角三角形(时间:45分钟总分:100分)题号一二三总分合分人复分人得分一、选择题(每小题3分,共30分)1.如图,∠BAC=90°,AD⊥BC,则图中互余的角有()A.2对B.3对C.4对D.5对2.在Rt△ABC中,∠C=30°,斜边AC的长为5cm,则AB的长为()A.2cmB.2.5cmC.3cmD.4cm3.在下列选项中,以线段a,b,c的长为边,能构成直角三角形的是()A.a=3,b=4,c=6B.a=5,b=6,c=7C.a=6,b=8,c=9D.a=7,b=24,c=254.直角三角形斜边上的中线长是6.5,一条直角边是5,则另一直角边长等于()A.13B.12C.10D.55.在△ABC和△DEF中,∠A=∠D=90°,则下列条件中不能判定△ABC和△DEF全等的是()A.AB=DE,AC=DFB.AC=EF,BC=DFC.AB=DE,BC=EFD.∠C=∠F,BC=EF6.如图,字母B所代表的正方形的面积是()A.12B.13C.144D.1947.(湖州中考)如图,已知在△ABC中,CD是AB边上的高线,BE平分∠ABC,交CD于点E,BC=5,DE=2,则△BCE的面积等于()A.10B.7C.5D.48.如图,直线AB,CD相交于点O,PE⊥CD于点E,PF⊥AB于点F,若PE=PF,∠AOC=50°,则∠AOP的度数为()A.65°B.60°C.40°D.30°leadershipintentionandmeaningintothetext.Althoughhiseyesnowwriteonlyarelativelysmallnumberofmaterials,butalsoquitedifficult,eventoamoldingmaterialherselfseemsnotverysatisfiedwiththequalityofserviceneedstobeenhanced.Threeisalotofworktoimplementpassive,activeandadvanced.Mostcontractorsdomattersassignedbytheleadership,workisoftenintheorders,toimplementthetask,donotwanttolead,notwanttothinkahead,planahead,andtoseektheleadership;seekdeepintotheresearch,provideinformationgoodstaffseek.Especiallyinthewritingprocessofmaterial,itencounteredmuch,timetight,heavybetweentherequirements.Andintheencounterthetediouswork,complexthings,sometimestakethemethodofescape,thatbridgetheboattothebridgestraight,nottheirownforcepleasefindcountermeasures,buttowaitfortheself,thelackofaspiritofhardresearch.Two,thecauseoftheproblemThroughtheanalysis,Ifeelthattherearemanyreasonsfortheseproblems.Oneideaisobsolete.Thefailuretodosystemresearchontheessenceofreadingtheoriginal,palmandmasterthetheoryofqualityreadwithoutthoroughunderstanding,hasnotbeeneffectively29.等腰三角形的一腰长为3a,底角为15°,则另一腰上的高为()A.aB.32aC.2aD.3a10.如图,已知点P到AE,AD,BC的距离相等,下列说法:①点P在∠BAC的平分线上;②点P在∠CBE的平分线上;③点P在∠BCD的平分线上;④点P在∠BAC,∠CBE,∠BCD的平分线的交点上.其中正确的是()A.①②③④B.①②③C.④D.②③二、填空题(每小题3分,共18分)11.若直角三角形的一个锐角为50°,则另一个锐角的度数是________.12.已知,在Rt△ABC中,∠ACB=90°,CD⊥AB于D,且AD=3,AC=6.则AB=________.13.如图,Rt△ABC中,O为斜边中点,CD为斜边上的高.若OC=6,DC=5,则△ABC的面积是________.14.生活经验表明:靠墙摆放梯子时,若梯子底端离墙约为梯子长度的13时,则梯子比较稳定.现有一长度为9m的梯子,当梯子稳定摆放时,它的顶端能到达8.5m高的墙头吗?________(填“能”或“不能”).15.如图,每个小正方形的边长均为1,△ABC的三边长分别为a,b,c;则a,b,c的大小关系是________.16.如图,在Rt△ABC中,∠A=90°,BD平分∠ABC交AC于D点,AB=12,BD=13,点P是线段BC上的一动点,则PD的最小值是________.三、解答题(共52分)17.(8分)已知Rt△ABC中,其中两边的长分别是3,5,求第三边的长.18.(10分)已知:如图,GB=FC,D、E是BC上两点,且BD=CE,作GE⊥BC,FD⊥BC,分别与BA、CA的延长线交leadershipintentionandmeaningintothetext.Althoughhiseyesnowwriteonlyarelativelysmallnumberofmaterials,butalsoquitedifficult,eventoamoldingmaterialherselfseemsnotverysatisfiedwiththequalityofserviceneedstobeenhanced.Threeisalotofworktoimplementpassive,activeandadvanced.Mostcontractorsdomattersassignedbytheleadership,workisoftenintheorders,toimplementthetask,donotwanttolead,notwanttothinkahead,planahead,andtoseektheleadership;seekdeepintotheresearch,provideinformationgoodstaffseek.Especiallyinthewritingprocessofmaterial,itencounteredmuch,timetight,heavybetweentherequirements.Andintheencounterthetediouswork,complexthings,sometimestakethemethodofescape,thatbridgetheboattothebridgestraight,nottheirownforcepleasefindcountermeasures,buttowaitfortheself,thelackofaspiritofhardresearch.Two,thecauseoftheproblemThroughtheanalysis,Ifeelthattherearemanyreasonsfortheseproblems.Oneideaisobsolete.Thefailuretodosystemresearchontheessenceofreadingtheoriginal,palmandmasterthetheoryofqualityreadwithoutthoroughunderstanding,hasnotbeeneffectively3于点G,F.求证:GE=FD.19.(10分)如图,在Rt△ACB中,∠C=90°,BE平分∠ABC,ED垂直平分AB于点D,若AC=9,求AE的长.20.(12分)如图,∠A=∠B=90°,E是AB上的一点,且AE=BC,∠1=∠2.(1)Rt△ADE与Rt△BEC全等吗?并说明理由;(2)△CDE是不是直角三角形?并说明理由.21.(12分)(沈阳中考)如图,△ABC中,AB=BC,BE⊥AC于点E,AD⊥BC于点D,∠BAD=45°,AD与BE交于点F,连接CF.(1)求证:BF=2AE;(2)若CD=2,求AD的长.leadershipintentionandmeaningintothetext.Althoughhiseyesnowwriteonlyarelativelysmallnumberofmaterials,butalsoquitedifficult,eventoamoldingmaterialherselfseemsnotverysatisfiedwiththequalityofserviceneedstobeenhanced.Threeisalotofworktoimplementpassive,activeandadvanced.Mostcontractorsdomattersassignedbytheleadership,wor