若关于
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036133262.png)
的不等式
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036149784.png)
的解集是
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036165291.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036180728.png)
的定义域是
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036196305.png)
,若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036211498.png)
,求实数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036227277.png)
的取值范围.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036243470.png)
或
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036258413.png)
试题分析:由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036274607.png)
得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036289449.png)
,即
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036305524.png)
, ……3分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036321663.png)
(1)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036336487.png)
,即
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036352351.png)
时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036383625.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036399715.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240030364301001.png)
, ……6分
(2)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036430462.png)
,即
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036445329.png)
时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036461436.png)
,不合题意: ……8分
(3)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036477487.png)
,即
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036492350.png)
时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036508639.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036539731.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240030365551101.png)
……11分
综上,实数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036227277.png)
的取值范围是
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036243470.png)
或
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003036258413.png)
……12分
点评:分类讨论时,要注意分类标准应做到不重不漏.
练习册系列答案
相关习题
科目:高中数学
来源:不详
题型:解答题
(本题满分12分)
已知全集
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949700420.png)
,集合
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949716767.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949732811.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949747883.png)
(1)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949778442.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949794670.png)
;(2)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949810513.png)
,求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003949825283.png)
的取值范围.
查看答案和解析>>
科目:高中数学
来源:不详
题型:单选题
设函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003519882561.png)
的定义域与值域都是R,且单调递增,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240035198981049.png)
,则 ( )
A.![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003519914526.png) | B.![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003519929527.png) | C.A=B | D.A⊆B |
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
已知集合A=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301136838.png)
,B=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301151937.png)
,
(1)当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301182425.png)
时,求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301198450.png)
(2)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301198313.png)
:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301214614.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301245310.png)
:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301260759.png)
,且
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301245310.png)
是
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301198313.png)
的必要不充分条件,求实数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003301307337.png)
的取值范围。
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
已知U=R,A={
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003019129200.png)
||
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003019129200.png)
-3|<2
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003019145199.png)
, B={
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003019129200.png)
|
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003019176271.png)
>0},
求A∩B, C
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824003019192197.png)
(A∪B) 。
查看答案和解析>>