1 . (1)求不等式
的解集;
(2)已知
,若
的最小值为3,求实数a的值;
(3)若不等式
对于任意非零实数a恒成立,求实数x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5cc5ac6a77e895c009f1e1966e2346e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2349e3509799b01ce88ce91a0d7dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a080262699cf8f8cf0219db8a7fb6aa2.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d213a5f846c0d10e0a37a6c3d1b5cccc.png)
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名校
2 . 已知关于
的不等式
的解集为
.
(1)当
时,求
;
(2)当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b168b66f3e749ee013f3925fd01fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454bcdce8c5b15c027186ddc216498dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知函数
.
(1)当
时,函数
在
上单调,求
的取值范围;
(2)若
的解集为
,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a35277c37144276ead40bb74a51481.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4842c7c85e9610baedc948a41107d5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe37dbbbde54a7ff0f7b37fff4b71c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72656c882b2830eeb8053ec18c0088f.png)
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名校
解题方法
4 . 对于两个实数
,
,规定
,
(1)证明:关于
的不等式
解集为
;
(2)若关于
的不等式
的解集非空,求实数
的取值范围;
(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
的解集都包含于
,若不存在,请说明理由,若存在,请求出满足条件的
的所有值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4511ddd731101f31a812687f876d3d.png)
(1)证明:关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4467d44e9a3a7faa7b86a258aeecd06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4d721dec802cd82c01d1ff1e9760c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc051b9ac95776718cbcb3f740931f5c.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/a7eca6a3e53f7e7b89c996322588a505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 已知不等式
的解集为
,集合
,集合
.
(1)求b和c的值:
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb56d9418f1a3cb2baa6b0c862010ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90e4491b77c3dbba0e71329cd596e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6b96a278e2d40ef6fabe9b27b66f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c2e68b4094a31c81d9ef86b4e38f67.png)
(1)求b和c的值:
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
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解题方法
6 . 已知集合
,
.
(1)当
时,求不等式
的解集;
(2)在①
,②
,③
这三个条件中任选一个作为已知条件,求a的取值范围.(注:若选择多个条件分别解答,则按第一个解答计分.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c93fbd2e4edf4ee87d000e4a28619d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0f4cfd5e4de2ad8d78b509c40e7fe5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce86e9a3437aa44fd2c8452aec77e58.png)
(2)在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf37be0c2d4521397102009c248f3cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162ae13f0a5b3b825f51648fb85d7d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15841ac004568a464df9cc7bb18392.png)
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解题方法
7 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若关于
的不等式
的解集是实数集
,求实数
的取值范围;
(3)若
,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c77d482f6199d5d89fbc01957c83fb57.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8e1dd8da540badcb9a8f427c5b202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c922032693938c380aef70ec82cc4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](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/a57458464618fcf619375a93d3c66d69.png)
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名校
解题方法
8 . 求解下面两题:
(1)已知关于
的不等式
的解集为
,求不等
的解集;
(2)若对于任意实数
,不等式
恒成立,求实数
的取值范围.
(1)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42f848c5ebf2980cccd9c81c78e8132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf129cdf0243d11594f3292e5b96615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b1c12a00ec0eda4dd2cfc79da60b52.png)
(2)若对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286a22b680079cda58e99834c7af6414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-12-20更新
|
367次组卷
|
3卷引用:重庆市2023—2024学年高一上学期期中七校联考数学试题
名校
解题方法
9 . 若不等式
的解集是
.
(1)解不等式
;
(2)当
的解集为
时,求b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930a579ddfca10913b201cd03a2eedcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b05849c5aa6777c65d0035f08ad96e.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383e0cc4ef5dc56a26a863f71bfce1f9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bccf813015e921bfc31a9f9d5c84698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
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解题方法
10 . 设函数
.
(1)若
,求不等式
的解集;
(2)若关于
的不等式
的解集为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d5b248531da22f10aa18649d0a7161.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93f5c7afb5465e99238b64a39028d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a769cef8bf95197b2d4f076966bc8418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次