名校
1 . 已知集合
,集合
.
(1)存在
,使
,
成立,求实数
的值及集合
;
(2)命题
,有
,命题
,使得
成立.若命题
为假命题,
为真命题,求实数
的取值范围;
(3)若任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f300113438dd4fcc6c482c63fe4516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b07d783b52a7aa14959fefff1f6f9c82.png)
(1)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8c5147899c7281b0233a2ca02e0847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32376822d0f20d9b264afc917b25a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7467b38962b39334863cb401ce899a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75484dadcfd90b77556179228d94770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa0583842bff0b9ac0a539656f88099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e7c815cc3e20c815f4e0596ba13d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9aa6ecf57fba086c6016f5e9452c831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 下面命题正确的是( )
A.“![]() ![]() |
B.命题“![]() ![]() ![]() ![]() |
C.不等式![]() ![]() |
D.设![]() ![]() |
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解题方法
3 . 已知
的定义域是区间
, 则“
是单调函数”的充分条件可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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4 . 命题“
”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3a6f6e2b8457e803cecd4d12fa6407.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
5 . 已知集合
,
,
,
(1)求
,
;
(2)若
是
的充分而不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6cb27397050d56fe238148fcb67fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d334211e4a31b77020c28a4312c6a7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0091532085f7a797b4a5e41e6cca1d31.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/622b3e88f7f2bd5ea2211118d43c7e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 设命题
,则命题p的否定为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea971510a05182d180e67a84e15469e6.png)
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2024-01-10更新
|
241次组卷
|
5卷引用:广东省湛江第一中学2023-2024学年高一上学期第二次大考数学试题
7 . 已知
,
,
是实数,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024-01-03更新
|
286次组卷
|
2卷引用:广东省佛山市南海区2023-2024学年高一上学期12月期中学业水平统考数学试卷
8 . 命题“
”的否定是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a83f166fbab926525c2aaf6299d9959.png)
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解题方法
9 . 已知命题“
,
”是假命题,则实数a的取值范围为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7315f140ce7b1fc37f4fa18284b93efb.png)
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10 . 已知集合
,
,则“
”是“
”的______ 条件.(填“充分”或“必要”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5614dd20b033eec71f40c80833b0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034bda11a15d66c0f885818ebbc40e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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