A
分析:圖形從上到下可以分成幾行,第n行中,斜放的火柴有2n根,下面橫放的有n根,因而圖形中有n排三角形時(shí),火柴的根數(shù)是:斜放的是2+4+…+2n=2(1+2+…+n),橫放的是:1+2+3+…+n,則每排放n根時(shí)總計(jì)有火柴數(shù)是:3(1+2+…+n)=
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.把n=10代入就可以求出.
解答:根據(jù)題意得出規(guī)律每排放n根時(shí)總計(jì)有火柴數(shù)是:3(1+2+…+n)=
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,
當(dāng)每邊擺10根(即n=10)時(shí),需要的火柴棒總數(shù)為
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=165.
故選A.
點(diǎn)評(píng):觀察圖形總結(jié)出規(guī)律是解決本題的關(guān)鍵.