题目内容
如图,菱形
的边长为1,
;作
于点
,以
为一边,做第二个菱形
,使
;作
于点
,以
为一边做第三个菱形
,使
;
依此类推,这样做的第
个菱形
的边
的长是 .
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本题要找出规律方能解答.第一个菱形边长为1,∠B1=60°,可求出AD2,即第二个菱形的边长…按照此规律解答即可.
解:第1个菱形的边长是1,易得第2个菱形的边长是
;
第3个菱形的边长是(
)2;…
每作一次,其边长为上一次边长的
;
故第n个菱形的边长是(
)n-1.
故答案为(
)n-1.
本题是一道找规律的题目,要求学生通过观察,分析、归纳发现其中的规律,并应用发现的规律解决问题.
解:第1个菱形的边长是1,易得第2个菱形的边长是

第3个菱形的边长是(
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每作一次,其边长为上一次边长的

故第n个菱形的边长是(

故答案为(

本题是一道找规律的题目,要求学生通过观察,分析、归纳发现其中的规律,并应用发现的规律解决问题.

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