【题文】对于任意实数x,符号表示不超过x的最大整数,例如,;,那么的值为 .
【题文】对于任意实数x,符号表示不超过x的最大整数,例如,;,那么的值为 .
题型:难度:来源:
【题文】对于任意实数x,符号
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115203-12450.png)
表示不超过x的最大整数,例如
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115203-42544.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115207-76606.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115207-23221.png)
,那么
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115207-42807.png)
的值为
.
答案
【答案】857.
解析
【解析】
试题分析:由题意可设
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115208-74214.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115208-86316.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115208-66027.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115208-45314.png)
为增函数,当
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115209-38346.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115210-99895.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115210-95102.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115210-17509.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115210-81666.png)
;当
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115210-74842.png)
时,同理
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115210-65225.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115211-78284.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115211-15068.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115211-70185.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115211-86153.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115212-38291.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115212-19542.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115212-58665.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115212-31143.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115212-91528.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115213-34831.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330115213-95644.png)
考点:对数的性质、归纳推理.
举一反三
【题文】对于任意实数x,符号
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114709-20507.png)
表示不超过x的最大整数,例如
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114709-20214.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114710-48098.png)
;
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114710-37393.png)
,那么
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114710-33206.png)
的值为
.
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114549-26896.png)
的定义域为( ).
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114522-35301.png)
的定义域为( ).
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114515-97025.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330114515-40017.png)
的大小关系是( ).
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