【题文】若,用“<”将连结起来 .
【题文】若,用“<”将连结起来 .
题型:难度:来源:
【题文】若
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095903-75701.png)
,用“<”将
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095903-12642.png)
连结起来
.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095904-38654.png)
解析
【解析】
试题分析:借助对数函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095904-99167.png)
研究
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095904-60542.png)
,由于
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095905-48792.png)
,函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095904-99167.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095905-95023.png)
上是减
函数,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095905-98809.png)
,即
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095905-51928.png)
;同理借助对数函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095906-78819.png)
研究
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095906-56929.png)
,对数函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095906-78819.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095905-95023.png)
上是增函数,由于
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095906-54414.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095907-85351.png)
,即
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095907-62857.png)
借助对数函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095907-88056.png)
研究
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095908-85506.png)
,由于
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095908-10942.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095908-73402.png)
;因此有
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095904-38654.png)
考点:1.对数函数的图象2.对数函数的性质
举一反三
【题文】若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095854-54614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095854-32997.png)
在区间
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095854-75582.png)
上是单调增函数,则常数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095854-45702.png)
的取值范围是
.
【题文】若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095848-23280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095848-64736.png)
在区间
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095849-10238.png)
上是单调增函数,则常数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095849-24300.png)
的取值范围是
.
【题文】(本小题满分12分)
(1)化简
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095838-19876.png)
log
85
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095839-51483.png)
log
2516 + log
324 .
(2)若log
2(3x-2)<2,试求x的取值范围.
【题文】(本小题满分12分)
(1)化简
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095831-59685.png)
log
85
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095831-53159.png)
log
2516 + log
324 .
(2)若log
2(3x-2)<2,试求x的取值范围.
【题文】(本题满分14分)
(1)已知
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095820-23620.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095820-39418.png)
的值;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095820-12135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095821-88473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095821-26831.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095821-95211.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330095821-88473.png)
的值.
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