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歡迎您訪問數學考題練習:如圖所示,已知等邊三角形ABC的邊長為1,按圖!

數學考題練習:如圖所示,已知等邊三角形ABC的邊長為1,按圖

更新時間:2024-01-12 16:36:33作者:貝語網校

如圖所示,已知等邊三角形ABC的邊長為1,按圖中所示的規律,用2008個這樣的三角形鑲嵌而成的四邊形的周長是

A.2008

B.2009

C.2010

D.2011

試題答案

C

試題解析

根據圖象顯示的規律找到,1個三角形,2個三角形,3個三角形組成的周長,得到規律為第n個三角形的周長為3+(n-1),所以可求得2008個這樣的三角形鑲嵌而成的四邊形的周長.

解答:由圖中可知:1個三角形組成的圖形的周長是3;

2個三角形組成的圖形的周長是3+1=4;

3個三角形組成的圖形的周長是3+2=5;

那么2008個這樣的三角形鑲嵌而成的四邊形的周長是3+2007=2010.

故選C.

點評:本題需注意要以第一圖為基數來找規律.

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