1 . 已知函数
.
(Ⅰ)若函数
在
上是减函数,求实数
的取值范围;
(Ⅱ)令
,当
(
是自然数)时,函数
的最小值是3,求出
的值;
(Ⅲ)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876e40b6678ed7abb7fbcd21f870d67f.png)
(Ⅰ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ae247a2817069077bb5d44caacc544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644f68e956fcfaaf36aee99705e55099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0623edc80abc29352aed61aa36c0cf97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0623edc80abc29352aed61aa36c0cf97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac99b762a641351397801871d1d5153c.png)
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2016-12-04更新
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4卷引用:2017届广西名校高三上第一次摸底数学(理)试卷