名校
解题方法
1 . 设全集
,集合
,集合
,其中
.
(1)当
时,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/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be761833ceec6bcbee6c792e9b534ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fbb98832b8ab50dc4bcbc327a086a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b109e426e848c161a79366657ca264dc.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)
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2023-10-12更新
|
373次组卷
|
2卷引用:四川省德阳市第五中学2023-2024学年高一上学期第二次月考数学试题
名校
2 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc6fbb379562b317ca44d2e0dc9b39f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3670cd24e0bc91fbae3bcca64f008d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a731a294c5db525fd5cccce4f8c473e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-12-14更新
|
257次组卷
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2卷引用:四川省德阳市第五中学2023-2024学年高三上学期12月月考文科数学试题
名校
3 . 不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b221593083d9fe8c9fb8890ff9df98fa.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-07-17更新
|
472次组卷
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4卷引用:四川省德阳市第五中学2022-2023学年高二上学期开学考试数学(文)试题
四川省德阳市第五中学2022-2023学年高二上学期开学考试数学(文)试题四川省德阳市第五中学2022-2023学年高二上学期开学考试数学(理)试题四川省成都市双流区2021-2022学年高一下学期期末数学试题(已下线)第10讲 二次函数与一元二次方程、不等式6种题型(2) -【同步题型讲义】(人教A版2019必修第一册)
4 . 对于问题:“已知关于
的不等式
的解集为
,解关于
的不等式
”,给出如下一种解法:
解析:由
的解集
,得
的解集为
,即
关于
的不等式
的解集为
.
参考上述解法,若关于
的不等式
的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013423aca66eff3c633c4fa3ae387f09.png)
关于
的不等式
的解集为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c7b74fd862d7e3f35e40ae1f626c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41563598c0fd893422c087bb3bd31e6.png)
解析:由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c7b74fd862d7e3f35e40ae1f626c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f72f833420cbaa04a29559e15329a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f48e1c656aace41360467f254e359d.png)
关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41563598c0fd893422c087bb3bd31e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f48e1c656aace41360467f254e359d.png)
参考上述解法,若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b527d3a72e43cb15d69d22b406217eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013423aca66eff3c633c4fa3ae387f09.png)
关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f4d1bc6eb7a791fcd6a990fca05f3c.png)
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2020-02-04更新
|
761次组卷
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6卷引用:四川省德阳市2022届高三“三诊”数学(文科)试题
5 .
(1)求不等式的解集:
< 1
(2)求值:
.
(1)求不等式的解集:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e811706bf8ffae26429d2cdb0f05aa46.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed57a52fb7c78916ea58d58267906242.png)
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解题方法
6 . 已知全集I=R,集合A={x∈R|
≤
},集合B是不等式
<4的解集,求 A∩(
IB)
![](https://img.xkw.com/dksih/QBM/2016/3/22/1572552223047680/1572552228454400/STEM/71f55f2ef458477184e3407abc78cc2f.png)
![](https://img.xkw.com/dksih/QBM/2016/3/22/1572552223047680/1572552228454400/STEM/dbbd0c79492047d8ad408c83f0813f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28594f159c0eabe9146b271dbd1b36d9.png)
![](https://img.xkw.com/dksih/QBM/2016/3/22/1572552223047680/1572552228454400/STEM/1978918a00da4f22a36c39a05b30de27.png)
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