题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075459-17013.jpg)
(1)画出第10个图并标出相应的数(只需画草图);
(2)数2012应该标在第几个正五边形的哪一个位置上?
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075459-14829.png)
(2)因为2012=2010+2=402×5+2,所以数2012在第403个正五边形的右上角
核心考点
试题【考察图中正五边形顶点所标的数的排列规律,回答问题:(1)画出第10个图并标出相应的数(只需画草图);(2)数2012应该标在第几个正五边形的哪一个位置上?】;主要考察你对相似图形性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075448-78663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075448-30810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075448-95688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075448-96500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075448-68372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075449-40894.png)
求证:△
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075449-54196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075449-48476.png)
![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075429-60390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075429-24861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075429-26824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075429-69417.png)
⑴连结
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075429-92383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075430-86694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075430-53914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075430-35171.png)
▲ ;过
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075430-66120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075430-36860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075431-76392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075431-13170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075431-12256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075432-89672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075432-47510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075432-56136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075432-97803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075433-24476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075433-77120.png)
⑵在图1中,若将三个正方形“退化”为正三角形,得到图3,同学们可以探究△
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075433-37282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075433-97794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075434-17841.png)
⑶为了研究问题的需要,将图1中的
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075434-38815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075434-42890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075434-42890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075429-24861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075434-35618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075433-37282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075433-97794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075433-37282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075434-65228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075435-41534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075435-24518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075435-41534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075435-44804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075434-42890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075436-50555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075430-66120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075435-24518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075435-41534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075436-69635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075436-95194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075436-65416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075436-86459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075437-64611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075422-12263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075423-78263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075423-51720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075423-36322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075419-32808.png)
求证:∠ACD=∠ADC.
问题1:如图1,若∠ACB=90°,AC=
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075413-16648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075413-29113.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075413-16648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075413-29113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075413-47299.png)
问题2:如图2,若∠ACB为钝角,且AB>AC,BD>DC.
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075414-38461.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103075414-53155.png)
(2)若点E在AD上,且DE=DB,延长CE交AB于点F,求∠BFC的度数.
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