名校
1 . 已知命题
,不等式
恒成立;命题
,使
成立.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题
中恰有一个为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a133fa8172d41c70c25d623f3dddd15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a62b679f2403ce5ad6fc470697253b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d3367f5f69f16cefa7efd98bfb4b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafa52b0a6df721cf18d4ead6e50efcb.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2卷引用:湖北省武汉市部分重点中学2023-2024学年高二下学期期末联考数学试题
解题方法
2 . 若函数
中
的取值范围为R,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d64406f06dc13f463d0ea9dad9c218a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 若命题“
,
”为假命题,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306984f0895ba32a7b3bb607065b1eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cd8fdde2ea6094613c5158a6dec1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
4 . 已知集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2daaaabeede11de93b061fa30d8c8c48.png)
(1)命题
命题
,且
是
的必要不充分条件,求实数
的取值范围;
(2)函数
的定义域为
,若
,实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b4492ef773d9427b6f49482be9d96b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2daaaabeede11de93b061fa30d8c8c48.png)
(1)命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f92adf41ae315465e3f68998bbd569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c5309e534904dc6bf768074965239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aea4609d4f356adb06e8419de7228c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959f3c514abb15185a429e1b2f1674e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 若
的函数值有正值,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7eb0a8085326caeeda415aa2c98723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
6 . 甲厂以
千克/时的速度匀速生产某种产品(生产条件要求
),每小时可获得利润
元.若要使生产该产品2小时获得的利润不低于3000元,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6b0b4cc70998d6926e69050fc300c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26be2414ec6249305b4b0672de5a0b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
7 . 当
为何值时,关于
的方程
的解是:
(1)正数?
(2)负数?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ef7ebe0769953ee72f362420d922a6.png)
(1)正数?
(2)负数?
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解题方法
8 . 不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe03429572aadbeae6f97046bc16109.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
9 . 解下列不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cf14e11af0a2c2ccb1c996b549e844.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5bd058cf1b64ccb8ed27368bbc669ed.png)
您最近一年使用:0次
名校
解题方法
10 . (1)解关于
的不等式:
.
(2)关于
的不等式
在
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a53f9aaa3ade59dc183c5cd0b42809c.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b10c0ddc3c420c40ba871c46a990aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次