名校
解题方法
1 . 记不等式
的解集为
,不等式
的解集为
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19d4c77c35fd938004161c58e7670d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b051e1329de07b78b173b7980ea8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f262205fa7972bdb74ac945fc27a7dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-25更新
|
270次组卷
|
2卷引用:河北省衡水市衡水中学2023-2024学年高一上学期期末数学试题
2 . 设
为实数,函数
.
(1)若函数
有且只有一个零点,求
的值;
(2)若不等式
的解集为空集,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f76eb60002841666774160d0ebf6cd9.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
3 . 已知集合
.
(1)求
;
(2)记关于x的不等式
的解集为
,若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12286c49309183f4d134007b3cfaecb1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf64025c7e8a6f47a22e2cdba013c79f.png)
(2)记关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46afcafd21552f3f9f339b503b616088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65e3b9d29d9221c675f441ab61f01cb.png)
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2024-02-10更新
|
392次组卷
|
3卷引用:北京市海淀区2023-2024学年高一上学期期末考试数学试题
解题方法
4 . 关于
的不等式
的解集为
.
(1)当
时,求集合
;
(2)已知①
,
,
②
,
.
从①,②这两个条件中任选一个条件,补充在下列问题中,然后解答补充完整的题目.若
,且______,求实数
的取值范围.
(注:如果选择多个条件分别作答,按第一个解答计分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4559e43ff13e8bb3024d6541b544cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)已知①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e7f21b3cae410431e8d5a4fae069ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455feedaee144e17e07c29bd3b3536.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25d43066794bdad287c867f68c57229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684f0feb027db9db2b1c2a6eea0f5265.png)
从①,②这两个条件中任选一个条件,补充在下列问题中,然后解答补充完整的题目.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a46fd6aea7591f29dae728bc22913e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(注:如果选择多个条件分别作答,按第一个解答计分)
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解题方法
5 . 已知不等式
的解集为A,非空集合
.
(1)求集合A;
(2)当
时,求
;
(3)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6324e1204d475e0450d59229c66a7ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1116a5b3e063c475ce5d94c372f5937f.png)
(1)求集合A;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
您最近一年使用:0次
2024-02-05更新
|
317次组卷
|
3卷引用:北京市顺义区2023-2024学年高一上学期期末质量监测数学试卷
名校
解题方法
6 . 已知不等式
的解集为
,设不等式
的解集为集合
.
(1)求集合
;
(2)设全集为R,集合
,若
是
成立的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8023e1902803a7939d2aa32ba9e2d44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e12a49601927242c500e1e3b331112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10a6d1002f6d7155f1c9a4801c5cb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设全集为R,集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e7668fba5ddd3c5aab4f1f88d67892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-15更新
|
687次组卷
|
4卷引用:江苏省南京市2023-2024学年高一上学期期末考前模拟数学试题
解题方法
7 . 已知函数
.
(1)若
,且
,
,求
的取值范围;
(2)若关于
的不等式
的解集为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b8de2391b377e6a1a206219f5333d4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3461af4cd496aab2d285bfead287c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8c9c68b92a181e9f4ca70a7736d665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b2e67cd10ebbced3d964ab0dc5c298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca39c7f527c4eebdbe58949289a5f6c.png)
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)若不等式
的解集为
,求
的值;
(2)若不等式
对任意的
恒成立,求实数
的取值范围;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61aeea854f8563b9b1e3e84744f44aeb.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfdecc7f8089cb23c20d0a93ee1b601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fed700b7a3ab2ee7fbae12507033af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bb346e167c8c10d27b68305d8f032c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf71a3c73c1d82ae821018a7f67c0.png)
您最近一年使用:0次
9 . 已知函数
.
(1)求不等式
的解集;
(2)若存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037ca2303abb4f486e5f2666b2b472ec.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227c96db35dc74ef4ddbc49d17580022.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962dba16e9f5129df453497cee42266e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-20更新
|
353次组卷
|
5卷引用:陕西省汉中市2024届高三上学期第四次校际联考数学(文)试题
解题方法
10 . 已知关于x的不等式
的解集为M.
(1)若
,求k的取值范围;
(2)若存在两个不相等负实数a,b,使得
或
,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2afd813bb828f709d435258a61fda63.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27982ba82cfdbed58cc04beb5dc8bb1.png)
(2)若存在两个不相等负实数a,b,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f2cc04996a6efcba936f437117a4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f98d21cbb21fcb8392e77e462c1da76.png)
您最近一年使用:0次