20-21高二·全国·课后作业
名校
解题方法
1 . 已知函数
,若关于
的不等式
在
上有实数解,则实数
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefff311c53735b4abeda021c70dac94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cf5ba23618b68a2fe6fe0fc45520d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7754cc9374c8193dadb6875fb8a3fefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
2 . 不等式
的解为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccc2a1ff3c3439e61a9287ed0ee2349.png)
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2010·福建龙岩·二模
3 . 研究问题:“已知关于
的不等式
的解集为
,解关于
的不等式
”,有如下解法:
解:由![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/d0f17f0b787046f497f0bb4a7287c7b7.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/6d9528a90e694b21998a23aefccc36c3.png?resizew=20)
,令
,则
,
所以不等式
的解集为
.
参考上述解法,已知关于
的不等式
的解集为
,则
关于
的不等式
的解集为_______________________ .
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/785f634fe15240e89e253261b088719c.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/d0f17f0b787046f497f0bb4a7287c7b7.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/590ecbb2912e41e69e729df67b2723ac.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/785f634fe15240e89e253261b088719c.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/101f394d8d3f403fa017cbcb35d4b8ef.png?resizew=105)
解:由
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/d0f17f0b787046f497f0bb4a7287c7b7.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/6d9528a90e694b21998a23aefccc36c3.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/d578ec2b3fa141f2aaec385f17c30d1c.png?resizew=136)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/64b6f9d8ded1417f87b155aa6b1b15ff.png?resizew=43)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/290b5fc2009f4484bb131d7d797204a4.png?resizew=67)
所以不等式
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/101f394d8d3f403fa017cbcb35d4b8ef.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/b2450987ac0f43bdad91516edd6288b6.png?resizew=41)
参考上述解法,已知关于
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/785f634fe15240e89e253261b088719c.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/1419b6560ea94d009b866c2467d1ace6.png?resizew=113)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98cc3119850e902436b133c699415de8.png)
关于
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/785f634fe15240e89e253261b088719c.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/12/6/1569927090946048/1569927096172544/STEM/e60a754c706a4c5b889f31202c8b40dd.png?resizew=120)
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