【题文】集合A={(x,y)|y=a},集合B={(x,y)|y=+1,b>0,b≠1},若集合A∩B,则实数a的取值范围是(
题型:难度:来源:
【题文】集合A={(x,y)|y=a},集合B={(x,y)|y=
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092121-64694.png)
+1,b>0,b≠1},若集合A∩B
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092121-44630.png)
,则实数a的取值范围是( )
答案
【答案】D
解析
【解析】
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092123-48467.png)
即函数
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092123-62435.png)
的图像在直线
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092123-23482.png)
的上方。要使直线
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092124-12514.png)
与函数
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092123-62435.png)
的图像有公共点。需使
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092124-47355.png)
。故选D
举一反三
【题文】已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092113-61111.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092113-34084.png)
.
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092113-93375.png)
; (2) 若
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092113-60886.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092114-42871.png)
的取值范围.
【题文】已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092043-60527.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092043-29351.png)
.
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092043-97578.png)
; (2) 若
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092043-10874.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092044-84228.png)
的取值范围.
【题文】已知M={
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092036-74447.png)
|
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092036-74447.png)
=(1,2)+
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092036-30922.png)
(3,4),
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092036-30922.png)
∈R},N={
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092036-74447.png)
|
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092036-74447.png)
=(-2,-2)+μ(4,5),μ∈R},则M
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092036-38798.png)
N=( )
A.{(1,1)} | B.{(1,1),(-2,-2)} | C.{(-2,-2)} | D.φ |
【题文】已知M={
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092032-19597.png)
|
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092032-19597.png)
=(1,2)+
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092032-13897.png)
(3,4),
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092032-13897.png)
∈R},N={
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092032-19597.png)
|
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092032-19597.png)
=(-2,-2)+μ(4,5),μ∈R},则M
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092032-71306.png)
N=( )
A.{(1,1)} | B.{(1,1),(-2,-2)} | C.{(-2,-2)} | D.φ |
【题文】 已知集合A=
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092024-79978.png)
,求A
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323092024-86923.png)
。
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