解题方法
1 . 已知集合
,
.
(1)当
时,求
;
(2)若
是
成立的充分不必要条件,这样的实数
是否存在?若存在,求出
的取值范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc99aa4cad88ffcf1bfa8cd4477fb78c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d68acbf1f78e04d7742f9575853bb72.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
2 . 已知
,全集
,集合
,函数
的定义域为
.
(1)当
时,求
;
(2)若
是
成立的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f783fadc2eb44608148626e42b051272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b070cea375391e55f80f7c9d20715e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729209c6507e934c93cac18443152b90.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-10更新
|
509次组卷
|
2卷引用:湖北省云学名校联盟2023-2024学年高一上学期12月联考数学试题
23-24高一上·全国·单元测试
解题方法
3 . 已知
,
(
为实数).若
的一个充分不必要条件是
,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1285c404a1629f22f252e06d8ed8d78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da75e7c93ab6ead77fa47999768d0934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30cc102a3d288a1e0158e537b1ce5ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575feaa04c7836a3743306b6378f9cd6.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 . 设函数
的定义域为
,集合
,记
,
,若
是
的 ,求实数
的取值范围.从①充分不必要条件,②必要不充分条件,这两个条件中任选一个,补充在横线上,并给予解答.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4567f7764e1b5428ac7535f568f54226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732049f37a4e410273332ba6c89b562f.png)
![](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/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
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解题方法
5 . 已知全集为
,集合
,
.
(1)若
,求集合
;
(2)请在①“
”是“
”的充分条件,②
,③
这三个条件中任选一个,补充在下面问题的横线上,并完成问题解答.若_________,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc541af992725d8d4bbbbbd191b788b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a95985a853e186585b554e3b825542.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8e1dd8da540badcb9a8f427c5b202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab907894aec35b45d1520c8fbdc3c50d.png)
(2)请在①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ccea9a39ce78e14ec3080fa15d86c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
您最近一年使用:0次
解题方法
6 . 设集合
,
.
(1)
,若p是q的充分不必要条件,求实数m的取值范围;
(2)若
,求实数m的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00477f6270edec1873a8d850c976da88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255304e4a0f97531ee7809ef1f36f845.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1172c80b0d9bcb52d4071f27171819ad.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
您最近一年使用:0次
7 . 设命题
:实数
满足
,其中
;命题
:实数x满足
,若
是
的充分不必要条件,则实数a的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebff6619f0334a3494d94c6cacf2f2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3fedf3e1847bed8d2ea1a81a8eb07a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
您最近一年使用:0次
名校
8 . 已知命题
:函数
的两个零点均在
上,命题
.
(1)若
是真命题,求实数
的取值范围;
(2)若
是
的充分且不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ef123e4ea7beac5ad1227d51c50145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba45d7c71587427ba2874c9bb3a7cf4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-25更新
|
228次组卷
|
2卷引用:江苏省徐州市徐州高级中学2023-2024学年高一上学期期中数学试题
解题方法
9 . 已知集合
.
(1)若集合
是集合
的充分条件,求
的取值范围;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7fa83bc8ecc2613f5fa68cb40e880e.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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
解题方法
10 . 已知非空集合
,
,设命题
:“
”,命题
:“
”.
(1)若
,求
;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da128334ed4441c8239bd46aaac8c9ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1724c429281c5f7d6fe96370122de3fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.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/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-22更新
|
140次组卷
|
2卷引用:河南省青桐鸣2023-2024学年高一上学期12月联考数学试题(北师大版)