解题方法
1 . 设函数
,其中
.
(1)若命题“
,
”为假命题,求实数
的取值范围;
(2)判断
在区间
上的单调性,并用函数单调性的定义证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d2c4d804f4c0120d38e2fc897a9c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
(1)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ce82779a834a6871c96515eaaa5571.png)
您最近一年使用:0次
名校
2 . (1)已知命题
,当命题
为假命题时,求实数
的取值范围;
(2)已知
,
是实数,求证:
成立的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cebf33773cad5d4d7cd9f8b67ca1bb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知
![](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/6f1f64033df8397ed5f5c684e27664bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88592d9e21b5201fe1c5f39bf240845e.png)
您最近一年使用:0次
名校
3 . (1)“
”为假命题,求实数
的最小值;
(2)已知
,证明:
成立的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb68148fd74b39769f0a129797d0bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4bd1b2b062bb5ae8e14fb2ffd885de7.png)
您最近一年使用:0次