1 . 关于
的不等式
的解集为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
_____ ..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799bfad4a7601be16efcec5e6d6c1efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2 . 设集合
,若关于
的不等式
的解集为
.
(1)求函数
的解析式;
(2)求关于
的不等式
的解集,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e4928a55d6ba8cd432d4f69b7df8a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2107eaccec2bf13526b6d3e5a3586e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fdf20ee3b8a29cd523e56c84a5c01f0.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87616a8d96f31174f0f6f057c5cec9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a14e0823e3083ee73d374700835dfdb.png)
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3 . 已知关于
的不等式
.
(1)若该不等式的解集为
,求
和
的值;
(2)若
,求该不等式的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af584d4e8bf1215e25447a477d6e8e8.png)
(1)若该不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba74f74918fb5aeb421d92d160b9ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd04c6b9cc47521108979a622c2b7c83.png)
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名校
4 . (1)已知关于x的不等式
的解集是
,求a,b的值;
(2)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30d95fe7dacb9b83e4235b642b1cebf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e433d8cb4c0416cc82aac3b5d2bcdc.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea7c7b05b50a9e8293fc2a19c5c4e82.png)
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5 . 已知关于
的不等式
的解集是
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15283b27721153d40cc9a8f6b2b42608.png)
A.![]() |
B.![]() |
C.![]() |
D.不等式![]() ![]() ![]() |
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3卷引用:江苏省南京市2023-2024学年高一上学期期末学情调研测试数学试卷
6 . 若函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63aaa178677e179fd17fb87877ccb38.png)
且
的解集为集合
.
(1)求实数
的值;
(2)若函数
的图象始终在函数
的图象上方,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63aaa178677e179fd17fb87877ccb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a46edeb8d055d1bf8efb8d79cf1f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7dc4293011a82a5de9c821db472b6a.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 关于
的不等式
的解集是
,且
,则实数
的取值范围
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2664a158811bae27b518fa2b96fd51b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfe05b521eb1c6269c3a25ec05992dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9dd5409f7777490aefc775e71292b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/2024/1/15/3411722549526528/3411739445395456/STEM/17b20b48ef254e989baa02564c9d7f8c.png?resizew=4)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 已知一次函数
过定点
.
(1)若
,求不等式
解集.
(2)已知不等式
的解集是
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27c24244b1fdbf1455087c2ebf41c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29dda161c097326eb12f340ccf11ed0d.png)
(2)已知不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7767e07014bfd5084b910bb7e9cda2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef333f78ed0adf43fea544f05ffddef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219ba6c8a1b54598db1a78cab28d9d30.png)
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解题方法
9 . 不等式
的解集为
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290b664ca6d36db70da5d4d914950224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知不等式
的解集为
,设不等式
的解集为集合
.
(1)求集合
;
(2)设全集为R,集合
,若
是
成立的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8023e1902803a7939d2aa32ba9e2d44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e12a49601927242c500e1e3b331112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10a6d1002f6d7155f1c9a4801c5cb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设全集为R,集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e7668fba5ddd3c5aab4f1f88d67892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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