1 . 解下列关于
的不等式或不等式组:
(1)设
,解不等式:
;
(2)解不等式组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc05cde4f00587cf3e7d3524b2bddf4.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7794539786aff30ed0e24158db88ae6b.png)
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名校
2 . (1)解方程组
;
(2)解关于
的不等式
;
(3)已知关于
的不等式
的解集为
,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9875224051c04670bea42c9a25304076.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3aee08ad8c82acbf3b6a1c3824f2383.png)
(3)已知关于
![](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/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009db35e84f9e2ed847519211918fbfe.png)
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2023-11-05更新
|
84次组卷
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2卷引用:北京市十一学校2023-2024学年高一上学期教与学质量诊断(期中)考试数学试题
解题方法
3 . 关于
有不等式 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf5cd927023a2bdcdd3d6f70e71d7f3.png)
(1)当
时, 解不等式.
(2)若不等式仅有一解,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf5cd927023a2bdcdd3d6f70e71d7f3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff4b08995815b1bcba83e12a9aec4fb.png)
(2)若不等式仅有一解,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca35310a128febf44f147d4df340d57a.png)
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2023-11-08更新
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2卷引用:浙江省温州十校联合体2023-2024学年高一上学期期中联考数学试题
4 . (1)化简求值:
;
(2)解方程:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8d8df287cf671b32274471022b6342.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a00a20aaf710eb93bc7c9fcc2de66fd.png)
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2022-03-29更新
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3卷引用:江苏省淮安市楚州中学、新马中学2022-2023学年高二下学期期中联考数学试题
江苏省淮安市楚州中学、新马中学2022-2023学年高二下学期期中联考数学试题福建省三明第一中学2021-2022学年高二下学期第一次月考数学试题(已下线)6.2.3组合-6.2.4组合数——课堂例题
5 . 关于x的不等式
.
(1)若不等式的解集为
,求
的值,并解关于x的不等式
的解集.
(2)若
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8fff7c98b78992edcd61daf6ea72f.png)
(1)若不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae96c0396bbf254f04e77615eac5fd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6368286b2b9275c4d1831384361db1d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db01c0b80e146432c30073258884736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8fff7c98b78992edcd61daf6ea72f.png)
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解题方法
6 . 设全集
.
(1)解关于
的不等式
;
(2)记
为(1)中不等式的解集,
为不等式组
的整数解集,若
恰有三个元素,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de90ac59bcff9f91525b40d2018f0c6f.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbc1d281c186b0ac29ea9c92a1b24c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c5e00c0716742d29b5814b83e07528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . (1)解不等式:
;
(2)设集合P表示不等式
对任意x∈R恒成立的a的集合,求集合P;
(3)设关于x的不等式
的解集为A,试探究是否存在a∈N,使得不等式.
与|
的解都属于A,若不存在,说明理由.若存在,请求出满足条件的a的所有值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4792db06e3e32dccdbec06922ee62d3b.png)
(2)设集合P表示不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318b4bc3fd817a8a1731c2168273d876.png)
(3)设关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa93ab2b74e928c5a7f4facabd6e233e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700fa4dfbe1d291042d435778db55f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b4350e789f1c3ca3c3e67908960b20.png)
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2020-12-07更新
|
267次组卷
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4卷引用:上海市松江二中2020-2021学年高一上学期期中数学试题
上海市松江二中2020-2021学年高一上学期期中数学试题上海市川沙中学2020-2021学年高一上学期期末数学试题(已下线)2.3 三角不等式(第3课时)(2)(已下线)第二章 等式与不等式(压轴必刷30题7种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)
8 . 解下列关于x的不等式或不等式组:
(1)
(a为实数)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5d50d49be16e56b1035964b2d8d864.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c560049dd3d23d10d83947c7768a165.png)
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解题方法
9 . (1)解不等式
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e35f874f2c74d693c6bfbe8ec461990.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8495da9a91bf7bfa549ca3aa4b496f37.png)
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2024-06-04更新
|
742次组卷
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2卷引用:安徽省马鞍山市第二中学2023-2024学年高一上学期期中测试数学试卷
名校
解题方法
10 . (1)解不等式
.
(2)设
表示
的解集;
表示不等式
对任意
恒成立的
的集合,求
;
(3)设关于
的不等式
的解集为
,试探究是否存在自然数
,使得不等式
与
的解都属于
,若不存在,说明理由.若存在,请求满足条件的
的所有的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160f68000b902eef7c47c95f055c2d04.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee96a17986a05fb4d8afac6ed25af10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa70964576558e912ac311efe800ebe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4afabfd5b4885311f8d9a4bcf791b71.png)
(3)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/789bcc64778a85418ac54d41d1798a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700fa4dfbe1d291042d435778db55f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc21ccecbbb5acfff1ab104b6b8265f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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