解题方法
1 . 已知集合
,
,
,求
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36bab541b58021002ca6d6183d54705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb2a380c2f5281db51e940b93bc1a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc96b3451bcf5b47db9c502bbdaa1ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0408a44fd7c73db8cc1fe8ea88474bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd1315ef75fa8897d12759b3aef5c45.png)
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解题方法
2 . 已知命题
:存在实数
,使得方程
成立,命题
,
,若命题
和命题
都是真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3269de11d39751bde365762169cd2ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5c81af39817c57583a0d1c1bebd36e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cfac711f580dca70860e8224f470d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知集合
,
,命题
,命题
,若
是
的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a4d33ca738133e19d4bd0b314421d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea043b04d9075126bb9f8cf1110aa85f.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)
您最近一年使用:0次
名校
4 . 设
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc804f4d3befaafabad4030af54bd36.png)
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2022-11-07更新
|
371次组卷
|
4卷引用:江苏省南京市建邺区2022-2023学年高一上学期9月月考数学试题
江苏省南京市建邺区2022-2023学年高一上学期9月月考数学试题江苏省常州市北郊高级中学2023-2024学年高一上学期学情阶段调研(一)数学试题(已下线)2.3 二次函数与一元二次方程、不等式精练-【题型分类归纳】北京市铁路第二中学2023-2024学年高一上学期期中考试数学试题
5 . 设m为实数,集合
,
.
(1)当
时,求
;
(2)若“
”是“
”的充分条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a41948fcf8adebfbced01f4bb2b7fbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90038905005442e1924e62062e739cde.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.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)
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解题方法
6 . 已知函数
为
上的减函数,且
,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05cd5b3fa7a932355abba1696768acf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知命题
:关于
的方程
没有实数根;命题
,
.
(1)若命题
为真,求实数
的取值范围;
(2)若
为真命题,
为假命题,求实数
的取值范围.
![](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/c38af9a9f17beb8b2ac681809622afad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f02b1f14a46e7b784007174401b6f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b6263f1d9b8e5824edc0b6e9abec2c.png)
(1)若命题
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-11-06更新
|
164次组卷
|
2卷引用:江苏省无锡市第三高级中学2022-2023学年高一上学期期中数学试题
名校
解题方法
8 . 定义区间
、
、
、
的长度均为n-m,其中n>m.
(1)若不等式组
的解集构成的各区间的长度和等于6,求实数t的范围;
(2)已知实数a>0,求满足
的x构成的各区间的长度之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd4d438ae7d4da0e100bb92d622c866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a381cebfeee07ae150cdeff6e7a64d.png)
(1)若不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7754c04141cd52d380925440f3e7281.png)
(2)已知实数a>0,求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9795eba7db63c2bbec7166b354163e84.png)
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2022-11-06更新
|
381次组卷
|
2卷引用:江苏省扬州中学2023-2024学年高一上学期10月月考数学试题
名校
解题方法
9 . 设
,
在
上恒成立,则
的最大值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff42751c7c8e5354c22235b651176650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a70e3961ac7e29806fef1e9f653447d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-11-06更新
|
761次组卷
|
4卷引用:江苏省常州市溧阳中学2023-2024学年高一上学期10月阶段调研数学试题
名校
10 . 若不等式
的解集为
,那么不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6fc762c6bf13764516d2f0575fa7c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f9107e543c40062f70436da1850318.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
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2022-11-06更新
|
375次组卷
|
2卷引用:江苏省苏州市第十中学2022-2023学年高一10月阶段性检测数学试题