名校
1 . 已知关于
的不等式
.
(1)当
时,求该不等式的解集;
(2)当
时,求该不等式的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707512cd486582a6cf3de9858c592d17.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
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名校
解题方法
2 . (1)已知正实数
,
满足等式
,求
的最小值;
(2)已知
,
,
,则
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4a74d6028edb14fd120a348bd5276d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43895441ab985675e2facdedf18575dc.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4039f0c88e9d05283993711a57e153a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
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3 . 已知函数
.
(1)实数x满足
,求x的取值集合;
(2)
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd862298dce9cfaef2f666af2996d91f.png)
(1)实数x满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb1bbd495bb6477a9115925a994996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a80dcc1be3cc70965fd063311ac678.png)
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名校
4 . 已知集合
,
,
(1)求
;
(2)求
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce42340df3d795c0ac815539f90246cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e76236978ecb4fd39799727781eb6cd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
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解题方法
5 . 已知命题
,
成立
命题
:对
,
,
,都有
成立
(1)若命题
为真命题,求
的取值范围
(2)若命题
和命题
有且只有一个命题是真命题,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2e66bf95ce530ce98091bd258d8a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ff32bb92238ad4009cdb990bfbb5a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f276b82d4e984675615cc27f9a764cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11943f1e957df887b73253bd076a4595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bda5e1e015530505730e58d33299fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6eb65762680d086307ec5249dbaa257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(2)若命题
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
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6 . 求下列不等式的解集:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7402ab8b675978ec98307c380693e6cd.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7402ab8b675978ec98307c380693e6cd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e0042be7d92557b66ea3ffbc380df6.png)
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7 . 已知全集
,集合
,集合
,求:
(1)若
,求
的范围;
(2)若
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f40330520647b7567ef3178c086fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faec84d1edf122c28407e8a762dbc0f8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810b3ae7f00e2043fc248a275ef11e4e.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)
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8 . 解下列不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a193ec2bfcee2f8f6a57c25fc6d7f07a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cfacdc52ea4712b3daf4b82476ccdf.png)
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解题方法
9 . 已知关于
的不等式
的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3368319b706fe4fcdaa19ddb7b614c9.png)
.
(1)求不等式
的解集:
(2)当
,
,且满足
时,有
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9deeb02676b13db2735699803f8c601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3368319b706fe4fcdaa19ddb7b614c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb242712a2c5303e50c9c8d391c4a4f.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26f48a4a5a6cdfacfcf93c71dcc6525.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953521e0c0ec1c417d7ca2197d8c601e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c36cdb03a872a89374ead035774d493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2023-10-16更新
|
115次组卷
|
2卷引用:四川省绵阳市三台中学校2023-2024学年高一上学期第一学月教学质量测试数学试题
名校
解题方法
10 . 关于
的不等式
.
(1)若
,求不等式的解集.
(2)若不等式的解集为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cef4b663e7eeab2afe2f1a5b6e645cc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
(2)若不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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