名校
1 . 已知不等式
的解集为集合A,集合
.
(1)若
,求
;
(2)若
,求实数
的取值范围;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7e48dd3bc72004e6549a51c3d98ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65397186779d9205c93b1ba96145dadd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)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
名校
解题方法
2 . 已知全集
,集合
,
.
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9607925e9edd5482fabdcb6d3a4d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6001de7ff4d09f756e62c14537e2b654.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac59877d187318610e6db3f2a926ad73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024高三下·全国·专题练习
解题方法
3 . 已知
,
,求
成立时
需满足的充要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea508345fd8d185695b0fd5cc7b1899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbebb5ce7581439e873e53d55d944c3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ba583329b831d06312a1f20edb4a81.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
4 . 已知非空集合
,
.
(1)若
,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55201a71f63e95aef66df1ca9e21551a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fbb02d5a584747b4a8287c6c24e0d1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-06-10更新
|
322次组卷
|
4卷引用:甘肃省陇南市第一中学2023-2024学年高一上学期期末考试数学试题
2024高三下·全国·专题练习
解题方法
5 . 已知集合
,
.若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c581a30d70e2894bbb93b96528996302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51452061e672940d11737de54c806d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
6 . 已知集合A={x|x2-4x-5≤0},B={x|2x-6≥0},M=A∩B.
(1)求集合M;
(2)已知集合C={x|a-1≤x≤7-a,a∈R},若M∩C=M,求实数a的取值范围.
(1)求集合M;
(2)已知集合C={x|a-1≤x≤7-a,a∈R},若M∩C=M,求实数a的取值范围.
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
7 . 设整数集A={a1,a2,a3,a4},B=
,且a1<a2<a3<a4.若A∩B={a2,a3},满足a1+a3=0,A∪B的所有元素之和为90,求a3+a4的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbf992cf0c3bcc06b55d58c69f15295.png)
您最近一年使用:0次
名校
解题方法
8 . 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
9 . 已知集合
,其中
都是
的子集且互不相同,记
的元素个数,
的元素个数
.
(1)若
,直接写出所有满足条件的集合
;
(2)若
,且对任意
,都有
,求
的最大值;
(3)若
且对任意
,都有
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13757649d1059dabada7fbafde58e6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96fa7b00ef7b8cf8e5a42aeb29f5154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf783a679243d115e602912050e47ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775adbe6736b3ec038d45a4f209ac290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f71a52871eb36b27836d6b9d72029ac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144e563700d35bb31aa51bab681f3118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19eee6183061532e744ef9086ffcb8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a245761c2403d38b654894e0c78cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27d4e5e05097560b51f888f8b234bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-23更新
|
876次组卷
|
4卷引用:北京市北师大附属实验中学2024届高三下学期3月零模数学试题
名校
10 . 已知函数
的定义域为
.
(1)若非空集合
满足
,求实数a的取值范围;
(2)若
,用定义证明:
是定义域上的严格增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e81a414323589af4ed230c17aa2faf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26322bd1e71fa74bb84a3ac150414a2.png)
(1)若非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f061ce46cb17bd8339322b4ed04219b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9afa6ca3c54f758947c5ece1a2e71b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69f28de04e6340b47f82e84446b83a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
您最近一年使用:0次