名校
解题方法
1 . 已知集合
,
.
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围;
(3)若将题干中的集合
改为
,是否有可能使命题
:“
,都有
”为真命题,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4cfb5d93fa28c188aa01a7b920634f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7566e20eeaa2ca570931bacc749b9bb9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若将题干中的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0297c69a68d6d7d8abd636ca0fdab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd170c506a8ce70f550f5751ae016ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
的定义域为
,其图象关于原点对称.当
时,
.
(1)求函数
的解析式.
(2)求不等式
的解集
.
(3)设函数
其中
的定义域为集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6263576e5c3f2324a8dac311476bf9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725ff4f383f8eeb3a9ed216a538c1e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d591386a9942d6dae60e156eeaec67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.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
3 . 设
,
,若
,则实数
的值可以为_______ .
(将你认为正确的序号都填上,若填写有一个错误选项,此题得零分)
①
②
③
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd75769ef3b3a2422e62ce8da1968241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ceaea47618b8f2297a9c55ac15f268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(将你认为正确的序号都填上,若填写有一个错误选项,此题得零分)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
您最近一年使用:0次
解题方法
4 . 已知全集
,
,
,
.
(1)求
,
.
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cf40aeb870f36ff93934ffdf59cb5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb59bef7cf59170c3f3f6e283857da7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64c86dd36a38c81f7ef83c34f85883a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df07c4e0d73500041baa7ddc369395cd.png)
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5 . 已知集合
,
.
(1)若
,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d70e565e392b0a3a885d4b6a1fdc41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcac0f25827081fdc736c3607838030.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.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
名校
6 . 设集合
,不等式
的解集为B.
(1)当
时,求
,
,
;
(2)当
时,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7753f18dcf43ff9c2d244985baee49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6975bfff51d35d3eea098147cd76ad32.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,
,若对
,
使得
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be315e528951120e7d551f654d2a1f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820129cdf68aa134a0b14619e07ad047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6a2ac9092aed15e4b486291b9f98e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db37a30cc9c01c37f6f14ba27c898f22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知集合
,
.
(1)若
,求
;
(2)请在条件①、条件②、条件③这三个条件中选择一个作为已知,使得至少存在一个实数a满足该条件,并求出a的范围.
①
;②
;③
.
注:如果选择多个符合要求的条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf226c94f6bcfa1ec586137dfad52eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f326ea893bcb4af8a102dcfd7156b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)请在条件①、条件②、条件③这三个条件中选择一个作为已知,使得至少存在一个实数a满足该条件,并求出a的范围.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e06ae8bafdf18961a3fc1df683ac7a5.png)
注:如果选择多个符合要求的条件分别解答,按第一个解答计分.
您最近一年使用:0次
解题方法
9 . 设全集
,集合
,
,集合
.
(1)若
求
和
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a791bca8679260b3245bd33b451fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8fe8e2abf32963a16248d9ffb593b5a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3100b7d03fb818096021a893c15bd8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda922978abb112ea099f28ff9ec1170.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
解题方法
10 . 已知集合
.
(1)当
时,求
;
(2)已知“
”的一个充分条件是“
”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861db440d89eab08aeac1ee965602a8a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)已知“
![](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