题目
题型:期末题难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233004-71577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233004-27949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233004-53553.png)
(2)在数学活动中,小雪为了求
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233004-30884.png)
①请你利用图1求
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233005-40703.png)
②请你利用图2,再设计一个能求
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233005-22375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233005-40794.png)
答案
(2)①最左边的
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233005-56418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233006-66032.png)
同样,上边的
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233006-23145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233006-79419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233007-98660.png)
那么原式=1﹣
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233007-63447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233007-23619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233007-68851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233008-79617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233008-27061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233008-31281.png)
②仿照图1,依次得到正方形的面积的一半,再一半.②
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233008-15196.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232959-26110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232959-92998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232959-51927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232959-73559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117233000-15788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232952-21058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232952-19228.png)
B.
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232952-81180.png)
C.
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232952-54520.png)
D.
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232953-36705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232931-39187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232931-63889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232931-47411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232932-98317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232932-44177.png)
请回答下列问题:
(1)观察上面的解题过程,请直接写出式子
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232932-95280.png)
(2)利用上面所提供的解法,请化简:
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232932-91403.png)
(1)f(1)=0,f(2)=1,f(3)=2,f(4)=3,…
(2)f(
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232924-65445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232924-75021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232924-15094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232925-75562.png)
利用以上规律计算:f(
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232925-13695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232919-23605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232919-10953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191117/20191117232919-77516.png)
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