已知函数
.
(1)当
时,求
的解集;
(2)若
的解集不是空集,求参数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dcd936fc221d2602243984d807171cd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fc42960b56450a41f3d952ab23e9d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ed09256650b9bf798c9c3efe23207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
更新时间:2022-05-26 12:45:33
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解题方法
【推荐1】若
.证明:
(1)
.
(2)
.
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e006ef99c62e6c3784c5059c92aeba.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e974efdd9cf524a4c4b3c85e0328921.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2108c82f49e2e6df8f7cb60147172bc1.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db5aac415fa6302e451341cc02f99da.png)
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【推荐1】选修4-5:不等式选讲
已知函数
.
(1)解不等式
;
(2)若函数
,若对于任意的
,都存在
,
使得
成立,求实数
的取值范围.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04af3afd7e470577e22c31498e39c080.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a9f7884d2a1a1f304d8d468d8dd47c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c47a168bc0195e708911534be3a0311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12965bbc260bdbb0df0a110e59fb8d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f5020d133f458912dc3da22b8127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐2】已知函数
.
(1)解不等式
;
(2)若关于x的不等式
在
上恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4130d43842d66f72bde3ae6e7ce5c79a.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6009d51b897a4f898b57e483234f391a.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a718674c9880a9e50b2cccd670d4ed26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
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【推荐1】已知命题
:
和
是方程
的两个实根,不等式
对任意实数
恒成立;命题
:已知
,
,若对
,
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.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题
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的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d144a4ca8ec356757e36400e08b6452a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef90ed96472025b70046ff6220774f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c395021157c73ac8dcde32864f7e121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad2cb2931e58d5cd7d27b8b40af9ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc46f127abe98c1f8b51a9110cb03a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d93f4c9a58325668a7a97ac88bc813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a5e384459cc4eb712b503bd181b535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】对于函数
,若在定义域内存在实数x,满足
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为“
函数”.
(1)已知函数
,试判断
是否为“
函数”,并说明理由;
(2)若
为定义域在R上的“
函数”,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d88a41a8c39757a1bbcc8ae9052c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5318aa4067ac053e96d9325fbcd384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288f5f0abf01a8c0373a7185f04ad0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
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