1、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
2、-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y0;当x 时0y4 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xx,则y与y的大小关系11,122,21212是 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 121211 已
3、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( ) 1331A m- B m- 24422 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( ) A y=x+1 B y=2x+3 C y=2x-1 D y=-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( ) ?AOBA y=x+4 B y=-x+4 C y=2x+4 D y=x+4 或 y=-x+4 4 某兴趣小组做试验,
4、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( ) A B C D culture and entertainment venues, fitness centers, has a good ecological environment, job security measures), these requirements are very straightforward, specific standards, also has a clear direction, more easily by a superior
5、 examination. Poverty assessment is to look at the per capita net income of the poor end of 2015 standards is . . Yuan, higher standards is poverty. Superior acceptance to entrust a third party institution from HouseImplementation. After acceptance, also through spot checks, visits, telephone survey
6、s looking activities. This means that our achievements have been recognized by the poor for poverty alleviation through acceptance, which we put forward higher requirements for poverty eradication. Therefore, the County Office for poverty alleviation to evaluation efforts in this regard. To implemen
7、t the grid management model, integrating poverty alleviation into grid management, and make a heart activity combined package of leading cadres implement monitoring systems for poverty alleviation, each poor households identified a package cost. In this regard, you can design a form, indicating the
8、poor basic causes, current income, poverty, support measures, implementation of support measures, through helping income, annual revenue. From now on, protection officers working households, household-by-place. When the examination, which the poor dont have time to get out of poverty, and holding pe
9、ople accountable. Third, on environmental protection in construction of ecological civilization is the focus on one of the six battle this year. Xian Wei proposed to build green mountains and beautiful, happy and harmonious new . . Target, which is the basis of environmental protection. Do well envi
10、ronmental protection work, we keep the side of the mountains, nor to the masses to create a suitable for residential and business suitable for swimming and raising living and working environment. Last year, we got good grades the environmental work, atmospheric index ranked 4th in the city to obtain
11、 eco-compensationaccording to project needs, in accordance with the channel, use the same, and use principle, the implementation of project planning, funding and manpower arrangements, avoiding duplication of inputs and waste of resources, effective integration of poverty relief funds . Here to remi
12、nd everyone that bundle integration-related funds, aims to concentrate financial resources for big undertakings. Authorities do not think that has less autonomy, pursuing the deregulation of work. This year on the amount of funds on fighting for the departments concerned to increase over the previou
13、s year . and . respectively. In this regard, the financial Department to dispatch in a timely manner, analyses relevant departments strive for. (E) to implement the poverty assessment responsibilities. Of village-level evaluation is very clear, that is, five-ten (five-way path, power, through water,
14、 through radio, television, information; Ten the hanlaobaoshou fields, rich projects, Office kitchen, health services, sanitation system, pre-school education, 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,求两函数解析式 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
15、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;
16、(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,,
17、,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-support measures, through helping income, annual revenue. From now on, protection officers working households, househ
18、old regard, you can design a form, indicating the poor basic causes, current income, poverty, support measures, implementation ofthis ge of leading cadres implement monitoring systems for poverty alleviation, each poor households identified a package cost. Int the grid management model, integrating
19、poverty alleviation into grid management, and make a heart activity combined packaplemennts for poverty eradication. Therefore, the County Office for poverty alleviation to evaluation efforts in this regard. To imhievements have been recognized by the poor for poverty alleviation through acceptance,
20、 which we put forward higher requiremeour acuseImplementation. After acceptance, also through spot checks, visits, telephone surveys looking activities. This means that 2015 standards is . . Yuan, higher standards is poverty. Superior acceptance to entrust a third party institution from Hond of ar d
21、irection, more easily by a superior examination. Poverty assessment is to look at the per capita net income of the poor eological environment, job security measures), these requirements are very straightforward, specific standards, also has a cleculture and entertainment venues, fitness centers, has
22、 a good ec2school education,-ce kitchen, health services, sanitation system, preway path, power, through water, through radio, television, information; Ten the hanlaobaoshou fields, rich projects, Offi-ten (five-evaluation is very clear, that is, fivelevel -imely manner, analyses relevant department
23、s strive for. (E) to implement the poverty assessment responsibilities. Of villageto increase over the previous year . and . respectively. In this regard, the financial Department to dispatch in a tpursuing the deregulation of work. This year on the amount of funds on fighting for the departments co
24、ncerned related funds, aims to concentrate financial resources for big undertakings. Authorities do not think that has less autonomy,-bundle integration e thatoiding duplication of inputs and waste of resources, effective integration of poverty relief funds . Here to remind everyonthe channel, use t
25、he same, and use principle, the implementation of project planning, funding and manpower arrangements, avcompensationaccording to project needs, in accordance with -ironmental work, atmospheric index ranked 4th in the city to obtain ecoidential and business suitable for swimming and raising living a
26、nd working environment. Last year, we got good grades the envor resrotection. Do well environmental protection work, we keep the side of the mountains, nor to the masses to create a suitable fosed to build green mountains and beautiful, happy and harmonious new . . Target, which is the basis of envi
27、ronmental pprop environmental protection in construction of ecological civilization is the focus on one of the six battle this year. Xian Wei e. When the examination, which the poor dont have time to get out of poverty, and holding people accountable. 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
28、,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
29、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, 423. 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
30、。 (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) 42. 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,2 3. 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
31、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) ving and working environment. Last year, we got good grades the environmental work, atmospheric index ranked 4th in the city de of the mountains, nor
32、 to the masses to create a suitable for residential and business suitable for swimming and raising lithe sirmonious new . . Target, which is the basis of environmental protection. Do well environmental protection work, we keep tion is the focus on one of the six battle this year. Xian Wei proposed to build green mountains and beautiful, happy and ha, on environmental protection in construction of ecological
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