解题方法
1 . 如图,等边
的边长为
,取等边
各边的中点
,作第2个等边
,然后再取等边
各边的中点
,作第3个等边
,依此方法一直继续下去.设等边
的面积为
,后继各等边三角形的面积依次为
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9eec500e0ebf0918587ca06da1edd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f45cc40e62290847607892d59c85efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72f109aceda27a70c12a6a8769b58c1.png)
A.![]() |
B.![]() ![]() ![]() |
C.从等边![]() ![]() |
D.如果这个作图过程一直继续下去,那么所有这些等边三角形的面积之和将趋近于![]() |
您最近一年使用:0次
2023-07-06更新
|
433次组卷
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3卷引用:广东省广州市七区2022-2023学年高二下学期期末数学试题