【题文】(本小题满分12分)计算:(1)计算;(2)已知,求.
【题文】(本小题满分12分)计算:(1)计算;(2)已知,求.
题型:难度:来源:
【题文】(本小题满分12分)计算:
(1)计算
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100422-31114.png)
;
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100422-42679.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100422-30724.png)
.
答案
【答案】(1)38;(2)-1 .
解析
【解析】
试题分析:主要是考查指数、对数的运算性质.
试题解析:
(1)原式=
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100422-99130.png)
;
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100423-98256.png)
,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100423-42813.png)
,
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100423-58329.png)
,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100423-89672.png)
,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100423-74614.png)
.
考点:指数,对数的运算性质
举一反三
【题文】(本小题满分12分)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100412-45445.png)
为偶函数,且
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100412-70538.png)
.
(1)求m的值,并确定
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100413-70624.png)
的解析式;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100413-65425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100413-64807.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100414-38451.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100414-70945.png)
上值域.
【题文】(本小题满分12分)计算:
(1)计算
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100405-29333.png)
;
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100405-61563.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100406-87093.png)
.
【题文】(本小题满分12分)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100347-92406.png)
为偶函数,且
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100347-18121.png)
.
(1)求m的值,并确定
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100347-92840.png)
的解析式;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100347-95716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100348-76353.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100348-44688.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330100348-26233.png)
上值域.
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