名校
1 . 已知函数
,
,定义函数
.
(1)设函数
,
,求函数
的值域;
(2)设函数
,
,当
时,恒有
,求实常数t的取值范围;
(3)设函数
,
,k为正常数,若关于x的方程
(b为实常数)恰有三个不同的解,求k的取值范围及这三个解的和(用k表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca9b18ab846f3c0e9f2d43411b14206.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66af78df39959ad44d45a78180b4406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f4d924f38e53fb0346c93d24d873a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5a90aeba435af22d6bcdb7b91650b8.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adfe1836fa9a55cc7d7a8b3d0a978336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2babf138586dd7b8c246074a321cee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00879cffccc124857ca755a8c345e45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd9cadcbc109026959badc27568edf6.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595f3e50fa0d95d0ea4e3f7bcbcf1086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecca8bacf273f34ac4b7ddedd4cc04cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f24749ede53ce3c383db6d4f3e7365.png)
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