最新初二数学一次函数练习题优秀名师资料.docx

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最新初二数学一次函数练习题优秀名师资料.docx

最新初二数学一次函数练习题优秀名师资料

初二数学一次函数练习题

A组

一填空

1若点A(m,3)、B(2,-1)在正比例函数y=kx的图像上,则m=2直线y=3x-6与x轴交点A的坐标是,与y轴交点B的坐标是;?

AOB的面积为。

若直线y=3x+b与两坐标轴围成的面积为6个平方单位,则b=;若直线y=kx+b与y轴交点的纵坐标是-2,且与两坐标轴围成的三角形面积为1,则k=3已知一次函数y=mx-m+2的图像过点(0,5),则m=,若它的图像过第一、二、三象限,则m=

4一次函数y=(m+4)x+2m-1的图像与y轴的交点在x轴的下方,则m的取值范围是5已知一次函数y=-x-3当0?

x?

3时,函数y的最大值是

6已知一次函数y=(3m-5)x+2-m的图像上两点A(x,y)B(x,y),当xy,则正整数11,221212m;当x时y<0;当x时0

7直线y=kx+b和直线y=-3x平行,且过(0,-2)点,则它的解析式为此直线与两坐标轴围成的三角形面积为

8一次函数y=3x+m-1的图像不过第二象限,求m的范围

9已知点P(xy),p(xy)是一次函数y=-4x+3图像上的两点,且x

10已知直线l:

y=x+4,l:

y=kx+4,若l和l与x轴围成的三角形面积为16,则k的值为1212

11已知一次函数y=-2x+3,则此直线关于x轴对称的直线解析式为,关于y轴对称的直线解析式为

二选择

1已知一次函数y=2x-1和y=-3x+m的图像交于第三象限的一个点,则m的取值范围是()

1331Am<-Bm-2442

2一次函数的图像经过点A(-2,-1),且与直线y=2x-3平行,则此函数的解析式为()Ay=x+1By=2x+3Cy=2x-1Dy=-2x-5

3一条直线经过点(0,4),与x轴交于点B,且S=8,则直线AB的解析式为()?

AOB

Ay=x+4By=-x+4Cy=2x+4Dy=x+4或y=-x+44某兴趣小组做试验,将一个装满水的啤酒瓶倒置(如图),并设法使瓶里的水从瓶中匀速流出,那么该倒置啤酒瓶内水面高度h随水流出的时间变化的图像是()

ABCD

cultureandentertainmentvenues,fitnesscenters,hasagoodecologicalenvironment,jobsecuritymeasures),theserequirementsareverystraightforward,specificstandards,alsohasacleardirection,moreeasilybyasuperiorexamination.Povertyassessmentistolookatthepercapitanetincomeofthepoorendof2015standardsis......Yuan,higherstandardsispoverty.SuperioracceptancetoentrustathirdpartyinstitutionfromHouseImplementation.Afteracceptance,alsothroughspotchecks,visits,telephonesurveyslookingactivities.Thismeansthatourachievementshavebeenrecognizedbythepoorforpovertyalleviationthroughacceptance,whichweputforwardhigherrequirementsforpovertyeradication.Therefore,theCountyOfficeforpovertyalleviationtoevaluationeffortsinthisregard.Toimplementthegridmanagementmodel,integratingpovertyalleviationintogridmanagement,and"makeaheart"activitycombinedpackageofleadingcadresimplementmonitoringsystemsforpovertyalleviation,eachpoorhouseholdsidentifiedapackagecost.Inthisregard,youcandesignaform,indicatingthepoorbasiccauses,currentincome,poverty,supportmeasures,implementationofsupportmeasures,throughhelping'income,annualrevenue.Fromnowon,protectionofficersworkinghouseholds,household-by-place.Whentheexamination,whichthepoordon'thavetimetogetoutofpoverty,andholdingpeopleaccountable.Third,onenvironmentalprotectioninconstructionofecologicalcivilizationisthefocusononeofthesixbattlethisyear.XianWeiproposedtobuild"greenmountainsandbeautiful,happyandharmonious"new......Target,whichisthebasisofenvironmentalprotection.Dowellenvironmentalprotectionwork,wekeepthesideofthemountains,nortothemassestocreateasuitableforresidentialandbusinesssuitableforswimmingandraisinglivingandworkingenvironment.Lastyear,wegotgoodgradestheenvironmentalwork,atmosphericindexranked4thinthecitytoobtaineco-compensationaccordingtoprojectneeds,inaccordancewiththe"channel,usethesame,anduse"principle,theimplementationofprojectplanning,fundingandmanpowerarrangements,avoidingduplicationofinputsandwasteofresources,effectiveintegrationofpovertyrelieffunds...Heretoremindeveryonethatbundleintegration-relatedfunds,aimstoconcentratefinancialresourcesforbigundertakings.Authoritiesdonotthinkthathaslessautonomy,pursuingthederegulationofwork.Thisyearontheamountoffundsonfightingforthedepartmentsconcernedtoincreaseoverthepreviousyear...and...respectively.Inthisregard,thefinancialDepartmenttodispatchinatimelymanner,analysesrelevantdepartmentsstrivefor.(E)toimplementthepovertyassessmentresponsibilities.Ofvillage-levelevaluationisveryclear,thatis,"five-ten"("five-way"path,power,throughwater,throughradio,television,information;"Ten"thehanlaobaoshoufields,richprojects,Officekitchen,healthservices,sanitationsystem,pre-schooleducation,

三解下列各题

3如图,一次函数y=ax+b与正比例函数y=kx的图像交于第三象限内一点A,与y轴交于点B(0,-4),且AO=AB,?

AOB的面积为6,求两函数解析

14已知一次函数的图像过点A(2,-1)和点B,其中B是直线y=-x+3与y2

轴的交点,求次一次函数的解析式

5直线y=kx+b与坐标轴围成的三角形面积为4,直线向下平移3个单位过(0,-1),求原直线解析式

6已知一次函数y=kx+b中自变量x的取值范围是-2?

x?

6,相应的函数值取值范围是-11?

y?

9,求次函数解析式

7如图已知A(-3,2)、(3,1),在x轴y轴上分别找一点使它到A、B两点距离之和最短并画出图形

8.若一次函数y=kx+3的图像经过A点,该点到x轴的距离为2,到y轴的距离为1,试求出这个函数的解析式.

9.已知y与x+1成正比例,当x=5时,y=12,求y与x的函数关系式。

10.已知一次函数y=kx+b的图像过(1,2),(2,0)。

(1)求其解析式;

(2)自变量x的取值范围是,4?

x?

4时,求函数值y的取值范围.11.一次函数y=ax,b、y=bx,a的图像相交于一点(3,3),求函数y=(a+b)x+ab与x轴的交点坐标。

12.某车间有20名工人,每人每天加工甲种零件5件或乙种零件4个,在这20名工人中,派x人加工甲种零件,其余的加工乙种零件,已知加工一个甲种零件可获利润6元,加工一个乙种零件可获利润24元(

?

写出此车间每天所获利润y(元)与x(人)之间的函数表达式;

?

若要使车间每天获利润1260元,问要派多少人加工甲种零件,

113.直线y=x+2交x轴于点,,交y轴于点,,点,(x,y)是线段AB上一动点(与,,,2

不重合),?

PAO的面积为,,求,与x的函数关系式。

B组

13.一次函数y=kx+b的图象经过点A(1,3)和B(-1,-1),则此函数的解析式为_________(14(若解方程x+2=3x-2得x=2,则当x_________时直线y=x+•2•上的点在直线y=3x-2上相应点的上方(

15(已知一次函数y=-x+a与y=x+b的图象相交于点(m,8),则a+b=_________(

plac-by-supportmeasures,throughhelping'income,annualrevenue.Fromnowon,protectionofficersworkinghouseholds,householdregard,youcandesignaform,indicatingthepoorbasiccauses,currentincome,poverty,supportmeasures,implementationofthisgeofleadingcadresimplementmonitoringsystemsforpovertyalleviation,eachpoorhouseholdsidentifiedapackagecost.Intthegridmanagementmodel,integratingpovertyalleviationintogridmanagement,and"makeaheart"activitycombinedpackaplemenntsforpovertyeradication.Therefore,theCountyOfficeforpovertyalleviationtoevaluationeffortsinthisregard.Toimhievementshavebeenrecognizedbythepoorforpovertyalleviationthroughacceptance,whichweputforwardhigherrequiremeouracuseImplementation.Afteracceptance,alsothroughspotchecks,visits,telephonesurveyslookingactivities.Thismeansthat2015standardsis......Yuan,higherstandardsispoverty.SuperioracceptancetoentrustathirdpartyinstitutionfromHondofardirection,moreeasilybyasuperiorexamination.Povertyassessmentistolookatthepercapitanetincomeofthepooreologicalenvironment,jobsecuritymeasures),theserequirementsareverystraightforward,specificstandards,alsohasaclecultureandentertainmentvenues,fitnesscenters,hasagoodec2schooleducation,-cekitchen,healthservices,sanitationsystem,preway"path,power,throughwater,throughradio,television,information;"Ten"thehanlaobaoshoufields,richprojects,Offi-ten"("five-evaluationisveryclear,thatis,"fivelevel-imelymanner,analysesrelevantdepartmentsstrivefor.(E)toimplementthepovertyassessmentresponsibilities.Ofvillagetoincreaseoverthepreviousyear...and...respectively.Inthisregard,thefinancialDepartmenttodispatchinatpursuingthederegulationofwork.Thisyearontheamountoffundsonfightingforthedepartmentsconcernedrelatedfunds,aimstoconcentratefinancialresourcesforbigundertakings.Authoritiesdonotthinkthathaslessautonomy,-bundleintegrationethatoidingduplicationofinputsandwasteofresources,effectiveintegrationofpovertyrelieffunds...Heretoremindeveryonthe"channel,usethesame,anduse"principle,theimplementationofprojectplanning,fundingandmanpowerarrangements,avcompensationaccordingtoprojectneeds,inaccordancewith-ironmentalwork,atmosphericindexranked4thinthecitytoobtainecoidentialandbusinesssuitableforswimmingandraisinglivingandworkingenvironment.Lastyear,wegotgoodgradestheenvorresrotection.Dowellenvironmentalprotectionwork,wekeepthesideofthemountains,nortothemassestocreateasuitablefosedtobuild"greenmountainsandbeautiful,happyandharmonious"new......Target,whichisthebasisofenvironmentalppropenvironmentalprotectioninconstructionofecologicalcivilizationisthefocusononeofthesixbattlethisyear.XianWeie.Whentheexamination,whichthepoordon'thavetimetogetoutofpoverty,andholdingpeopleaccountable.Third,on

16(一次函数y=kx+b交y•轴的负半轴,且y•的值随x•的增大而减少,则k____0,b____0((填“>”、“<”或“,”)

xy,,,30,17(已知直线y=x-3与y=2x+2的交点为(-5,-8),则方程组的解是________(,220xy,,,,

18.已知一次函数y=-3x+1的图象经过点(a,1)和点(-2,b),则a=________,b=______(19(如果直线y=-2x+k与两坐标轴所围成的三角形面积是9,则k的值为_____(20.一次函数y=ax+b,若a+b=1,则它的图象必经过点()

A、(-1,-1)B、(-1,1)C、(1,-1)D、(1,1)21.已知y+2与x-1成正比例,且x=3时y=4。

(1)求y与x之间的函数关系式;

(2)当y=1时,求x的值。

22.已知,函数,试回答:

ykxk,,,,1321,,

3

(1)k为何值时,图象交x轴于点(,0),

(2)k为何值时,y随x增大而增大,4

23.蜡烛点燃后缩短长度y(cm)与燃烧时间x(分钟)之间的关系为ykxk,,0,已知长为,,

21cm的蜡烛燃烧6分钟后,蜡烛缩短了3.6cm,求:

(1)y与x之间的函数解析式;

(2)

此蜡烛几分钟燃烧完。

24.一次函数y=kx,b的自变量的取值范围是,3?

x?

6,相应函数值的取值范围是,5?

y?

2,求一次函数的解析式。

1y,,x,225.直线L:

与x轴、y轴分别交于A、B两点,在y轴上有一点C(0,4),动点M2

从A点以每秒1个单位的速度沿x轴向左移动。

(1)求A、B两点的坐标;

(2)求?

COM的面积S与M的移动时间t之间的函数关系式;

(3)当t何值时?

COM?

?

AOB,并求此时M点的坐标。

C组

11.下列三个函数y=-2x,y=-x,y=(2-3)x共同点:

(1);

(2);(3)4

2.下面函数图象不经过第二象限的为()

(A)y=3x+2(B)y=3x,2(C)y=,3x+2(D)y=,3x,23.知函数y=(2m+1)x+m-3

(1)若函数图象经过原点,求m的值;

(2)若函数图象在y轴的截距为,2,求m的值;(3)若函数的图象平行直线y=3x–3,求m的值;(4)若这个函数是一次函数,且y随着x的增大而减小,求m的取值范围.

4.某市规定如下用水收费标准:

每户每月的用水量不超过6立方米时,水费按每立方米a元收费,超过6立方米时,不超过的部分每立方米仍按a元收费,超过的部分每立方米按c元收费,该市某户今年9、10月份的用水量和所交水费如下表:

月份用水量收费(元)

vingandworkingenvironment.Lastyear,wegotgoodgradestheenvironmentalwork,atmosphericindexranked4thinthecitydeofthemountains,nortothemassestocreateasuitableforresidentialandbusinesssuitableforswimmingandraisinglithesirmonious"new......Target,whichisthebasisofenvironmentalprotection.Dowellenvironmentalprotectionwork,wekeeptionisthefocusononeofthesixbattlethisyear.XianWeiproposedtobuild"greenmountainsandbeautiful,happyandha,onenvironmentalprotectioninconstructionofecological

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