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初二升初三数学衔接班1

初二升初三数学衔接班1
初二升初三数学衔接班1

一次函数的性质

1.一本书,每20页厚为1mm,设从第一页到第x页的厚度为ymm.则()

A.y=

20

1

x B.y=20x C.y=

20

1

+x D.y=

x

20

2.将直线y=2x向右平移2

3.将直线y=-

2

1

x向上平移3

得到的解析式为 .

4.如图,直线y=kx+b交坐标轴于A、B两点,

则不等式kx+b>0的解集是 .

与y=

a

(a≠0))

A B C D

6.①直线y=-2x经过(,0)、(-1,),y随x的增大而 .

②直线y=

5

3

x-1,经过(0,)、(,-4),y随x的增大而 .

③直线y=kx+b,与x轴交点的横坐标为-2,则k= .

7.某景区门票的收费标准为:20人(含20人),每人25元,超过20人,超过的部分,每人10元.

①.写出门票总收入y元与人数x(人)之间的函数关系式.

②.若某组有12人,则应付门票费元;若某组有54人,则应付门票费元.

8.已知直线y=

b

a

x+

b

c

中,ab>0,ac<0.那么这条直线不经过第象限.

9.若点P(-5,a+2)在第三象限,则a的取值范围是 .

10.y=

4

x

3

中x的取值范围是 .

11.y=-1

x3+中x的取值范围是 .

12.若点A(m,-2)与点B(5,2)关于原点对称,则m= .

13.若点M(m,n)在第二象限,则点N(-m,-1-n)在象限.

14.直线y1=k1+b

15.若直线y=x+k,x=1,x=4和x轴围成的直角梯形的面积等于9,求k的值.

2

1

,-

2

11

17.已知直线y=5x-8,与y=-x-k的交点在第三象限,则k的取值范围是()

A.k>

5

8

B. k>-

5

8

C.k>8

D. -

5

8

<k<8

18.如图,正比例函数经过点A,则函数解析式为 .

19.已知一次函数y=kx+b的图像经过A(0,-2)、B(1,0),则b= ;k= .

20.直线y=-x,直线y=x+2与x轴围成图形的周长是 .(保留根号)

21.如图,在直角坐标系中.已知,矩形OABC

22.已知一次函数y=(a-1)x+b的图像如图所示,则a 的取值范围是 .

23.如图,已知A(-4,2)、B(n,-4)是一次函数y=kx+b的图像与反比例函数y=

x

m

的图像两个交点.⑴求反比例函数好一次函数的解析式.⑵求一次函数的值小于反比例函数的值的x的取值范围.

24.当n为时,函数y=(n-2009)x│n│-2008+2007是一次函数.

25.已知一次函数y=kx+b的图像不经过第一象限,则k、b的取值范围是 .

26.一次函数y=kx+b满足kb>0,且y随x的增大而减小,则函数图像不经过第象限.

27.已知直线y=kx+2与直线2x+y=5平行,则直线y=kx+2经过象限.

28.一次函数图像过点(-1,0)且y随x的的增大而减小,写出符合这个条件的一个解析式 .

29.如果点P(2,k)在直线y=-3x+2上,则P到x轴距离是 .当x>2时,y的取值范围是 .

30.无论m为何实数,直线y=x+2m与y=-x+4的交点不可能在第象限.

31.已知直线l1:y=2x-4与直线l2关于y轴对称,求直线l2的解析式.

32.根据下列条件,写出相应的函数关系式:一次函数中,当x=1,y=3;当x=-1时,y=7.

33.一次函数y=kx+k过(1,4),且分别于x轴、y轴交于A、B两点,点P(a,0)在x 轴正半轴上运动,点Q(0,b)在y轴正半轴上运动,且PQ⊥AB.求a,b满足的等量关系式.

34.已知直线y=xm-1上有一点B(1,n),它到原点的距离为10,则此直线与两坐标轴围成的三角形的面积为 .

初二升初三数学衔接班1

一次函数的性质 1.一本书,每20页厚为1mm,设从第一页到第x页的厚度为ymm.则() A.y= 20 1 x B.y=20x C.y= 20 1 +x D.y= x 20 2.将直线y=2x向右平移2 3.将直线y=- 2 1 x向上平移3 得到的解析式为 . 4.如图,直线y=kx+b交坐标轴于A、B两点, 则不等式kx+b>0的解集是 . 与y= a (a≠0)) A B C D 6.①直线y=-2x经过(,0)、(-1,),y随x的增大而 . ②直线y= 5 3 x-1,经过(0,)、(,-4),y随x的增大而 . ③直线y=kx+b,与x轴交点的横坐标为-2,则k= . 7.某景区门票的收费标准为:20人(含20人),每人25元,超过20人,超过的部分,每人10元. ①.写出门票总收入y元与人数x(人)之间的函数关系式. ②.若某组有12人,则应付门票费元;若某组有54人,则应付门票费元. 8.已知直线y= b a x+ b c 中,ab>0,ac<0.那么这条直线不经过第象限. 9.若点P(-5,a+2)在第三象限,则a的取值范围是 . 10.y= 4 x 3 + 中x的取值范围是 . 11.y=-1 x3+中x的取值范围是 . 12.若点A(m,-2)与点B(5,2)关于原点对称,则m= . 13.若点M(m,n)在第二象限,则点N(-m,-1-n)在象限. 14.直线y1=k1+b

15.若直线y=x+k,x=1,x=4和x轴围成的直角梯形的面积等于9,求k的值. 2 1 ,- 2 11 17.已知直线y=5x-8,与y=-x-k的交点在第三象限,则k的取值范围是() A.k> 5 8 B. k>- 5 8 C.k>8 D. - 5 8 <k<8 18.如图,正比例函数经过点A,则函数解析式为 . 19.已知一次函数y=kx+b的图像经过A(0,-2)、B(1,0),则b= ;k= . 20.直线y=-x,直线y=x+2与x轴围成图形的周长是 .(保留根号) 21.如图,在直角坐标系中.已知,矩形OABC 题 22.已知一次函数y=(a-1)x+b的图像如图所示,则a 的取值范围是 . 23.如图,已知A(-4,2)、B(n,-4)是一次函数y=kx+b的图像与反比例函数y= x m 的图像两个交点.⑴求反比例函数好一次函数的解析式.⑵求一次函数的值小于反比例函数的值的x的取值范围. 24.当n为时,函数y=(n-2009)x│n│-2008+2007是一次函数. 25.已知一次函数y=kx+b的图像不经过第一象限,则k、b的取值范围是 . 26.一次函数y=kx+b满足kb>0,且y随x的增大而减小,则函数图像不经过第象限. 27.已知直线y=kx+2与直线2x+y=5平行,则直线y=kx+2经过象限. 28.一次函数图像过点(-1,0)且y随x的的增大而减小,写出符合这个条件的一个解析式 . 29.如果点P(2,k)在直线y=-3x+2上,则P到x轴距离是 .当x>2时,y的取值范围是 . 30.无论m为何实数,直线y=x+2m与y=-x+4的交点不可能在第象限. 31.已知直线l1:y=2x-4与直线l2关于y轴对称,求直线l2的解析式. 32.根据下列条件,写出相应的函数关系式:一次函数中,当x=1,y=3;当x=-1时,y=7. 33.一次函数y=kx+k过(1,4),且分别于x轴、y轴交于A、B两点,点P(a,0)在x 轴正半轴上运动,点Q(0,b)在y轴正半轴上运动,且PQ⊥AB.求a,b满足的等量关系式. 34.已知直线y=xm-1上有一点B(1,n),它到原点的距离为10,则此直线与两坐标轴围成的三角形的面积为 .

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【例2】计算: (1))()(3 17-31211-3-61-1÷??? ??++? ??? ??; (2)3 2211-811-321--31-1)()()(??? ????? ?÷??? ??。 【例3】9867000000000= (科学记数法) 强化训练 一、选择题 1.下列运算中正确的是 ( ) A .03-3-= B .0=+-a a c .1)9 8 1(89=-?- D .1553= 2.下列说法中正确的是 ( ) A. 0是最小的整数; B .任何数的绝对值是正数 C .a -是负数 D .绝对值等于它本身的数是正数和0 3.在有理数一(一4),一2 3,一 2 1,3)5(一, 0,一3 3)(+中,负数有 ( ) A.1个 B .2个 C .3个 D .4个 4.计算 3)2()32(31273-+?? ? ???--÷的值是 ( ) A .316 - B .767- C .718 D .3 2 9 5.如果a 与b 互为相反数,且x 与y 互为倒数,那么xy b a 2)(2 -+的值为 ( )

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