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【332175】【推荐】26.1.2 反比例函数的图象和性质-同步练习(1)B

时间:2025-01-21 12:26:03 作者: 字数:3307字
简介:

26.1.2反比例函数的图象和性质同步练习

一、选择题

1 函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象经过点(-46),则下列各点中在 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 图象上的是(

A.(38 B.(3,-8 C.(-8,-3 D.(-4,-6

2若直线ykxb经过第一、二、四象限,则函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象在(

A)第一、三象限 B)第二、四象限

C)第三、四象限 D)第一、二象限

3反比例函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象上有两点 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> ,那么 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 之间的大小关系为(

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> B  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> C  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> D、不能确定

4、若点(-2 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> )、(-1 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> )、(2 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> )在反比例函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象上,则(

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> > <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

5.下列图象中,是反比例函数的图象的是 ( )

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>



6.在反比例函数y= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> k<0)的图象上有两点Ax1y1),Bx2y2),且x1>x2>0,则y1-y2的值为 ( )

A)正数 (B)负数 (C)非正数 (D)非负数

、填空题

7、函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象的两个分支在第 象限;在每个象限y都随x的增大而 .

8、函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象的两个分支在第 象限;在每个象限y都随x的增大而 .

9、在反比例函 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象的每一条曲线上,y都随x的增大而增大,则k的值是

10、设反比例函数y= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象上有两点Ax1y1)和Bx2y2),且当x1<0<x2时,有y1<y2,则m的取值范围是

11已知反比例函数y= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象如图所示,则k 0

组合 3 图象的每一支上, y值随x的增大而

12.已知反比例函数y= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象在第一、三象限内,则k的值可是________(写出满足条件的一个k值即可).


13.在直角坐标系中,若一点的横坐标与纵坐标互为倒数,则这点一定在函数图象上 (填函数关系式)

三、解答题

14如图,已知正比例函数y=3x的图象与反比例函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象交于点A1m)和点B.求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> m的值和反比例函数的解析式.





15如图所示,已知直线y1=x+mx轴、y轴分别交于点AB,与双曲线y2= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> k<0)分别交于点CD,且C点坐标为(-12).

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 1)分别求直线AB与双曲线的解析式;

2)求出点D的坐标;

3)利用图象直接写出当x在什么范围内取何值时,y1>y2







参考答案

一、选择题

B B B B D A

二、填空题

7、一、三 减小

8、二、四 增大

9k>1

10m<3

11> 减小

125(答案不唯一)

13y= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

三、解答题

14解:把A1m)代入y=3x得:m=3

∴A13),

A的坐标代入 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 得:k=3

则反比例函数的解析式是 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>  .

答:m的值是3,反比例函数的解析式是 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/145/" title="推荐" class="c1" target="_blank">推荐</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/411/" title="反比例" class="c1" target="_blank">反比例</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

15解:1)把C点坐标(-12)分别代入y1=x+my2= k/x,解得m=3k=-2,所以直线AB与双曲线的解析式分别是y1=x+3y2=-2/x
2)点D是直线与双曲线的交点,联立y1=x+3y2=-2/x,解得x=-2x=-1舍去),y1=y2=1,所以点D的坐标是(-21);
3)当-2<x<-1时,y1>y2