解题方法
1 . 设集合
,集合
或
.
(1)当
时,求
,
;
(2)设命题
,命题
,若p是q的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a171ba4af158d80bf9f3ed1c773bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b8311e545c5b3fc175b26aeaacb7e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487d5996b34c9c5117ac7543be088d15.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)设命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc11e9183ffccd297df4a1c18618bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c5309e534904dc6bf768074965239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2 . 已知全集
,集合
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a99038e2a330b32fcd8280e563e5eae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61410f474533fe21cfe5354b747a5de9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
3 . 已知不等式
的解集为
.
(1)求不等式
的解集
;
(2)设非空集合
,若
是
的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8023e1902803a7939d2aa32ba9e2d44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1843f4648d7cd79a1573abea5c9470fa.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1c8f0836b1e3ba81f5371855a6365f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)设非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff05221830dcbb8141bceb8ded58e43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedd044d22a32a7014b70d5fee694051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-26更新
|
129次组卷
|
2卷引用:云南省保山市腾冲市第八中学2023-2024学年高一下学期开学考试数学试题
解题方法
4 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e14737fb0a7ab76be6f637436980f5.png)
(1)若
,求
;
(2)在①
,②
,③
中任选一个作为已知条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e14737fb0a7ab76be6f637436980f5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e06ae8bafdf18961a3fc1df683ac7a5.png)
您最近一年使用:0次
解题方法
5 . 已知全集
,集合
,
.
(1)设非空集合
,若
,求
的取值范围;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6bd17cd87e0798b301f3d065331013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14fc1f60c77e0aea52ed5e193a8e0ced.png)
(1)设非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525dbd16b77c78c22bce91578323acb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb185cecf0a22b322a82545bdfcb321c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
您最近一年使用:0次
解题方法
6 . 已知命题
方程
没有实数根.
(1)若
是假命题,求实数
的取值集合
;
(2)在(1)的条件下,已知非空集合
,从①充分而不必要,②必要而不充分,这两个条件中任选一个条件补充到下面问题中的横线上,并解答.问题:是否存在实数
,使得若
是
的______条件.若存在,求
的取值范围.若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e908c1346baf1a089134adb2b47fc5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)在(1)的条件下,已知非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48386ac9c88bfc6ca0ac53bd74afb74f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8a1b0b32229f6a9f5b85c11f05bee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa238793bdf2a25b7bfd01eaa81551a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
7 . 已知集合
,
.
(1)若
,求
;
(2)若
,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8413e0352a98acfb7f4876eb15f6c7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36e1e2d6d89299dc7c06d326c9c65d0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73820afe801c18d6c13eae17d9f4ab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eac19737d882225c903054eb4863501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-24更新
|
146次组卷
|
2卷引用:云南省昆明市云南师范大学附属中学呈贡校区2023-2024学年高一上学期月考(二)(12月)数学试题
名校
8 . 设函数
,
.
(1)求函数
的值域;
(2)设函数
,若对
,
,
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72aa7c747da74701ffc2fa13142fe0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb1e7475dd989f4a692bfc8b206b107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668a8197680ae441547b44a44970efb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc15a67a9b4f266ed09c7c39703de1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
您最近一年使用:0次
名校
9 . 已知集合 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee52ce8394c0481445f422749f392a8.png)
(1)若
, 求
;
(2)若
是
的充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee52ce8394c0481445f422749f392a8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](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)
您最近一年使用:0次
2023-11-02更新
|
502次组卷
|
2卷引用:云南省昆明市云南师范大学附属中学2023-2024学年高一上学期期中考试数学试题
名校
解题方法
10 . 设集合
,集合
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2519555eb28a2e82e9ce608440b3dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c2abca47bd55d88ecba9ca067f2cb5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次