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歡迎您訪問數(shù)學(xué)考題練習(xí):黑、白兩種顏色的正六邊形地磚按如圖所示的規(guī)律拼!

數(shù)學(xué)考題練習(xí):黑、白兩種顏色的正六邊形地磚按如圖所示的規(guī)律拼

更新時(shí)間:2024-01-12 16:32:41作者:貝語網(wǎng)校

黑、白兩種顏色的正六邊形地磚按如圖所示的規(guī)律拼成若干個(gè)圖案:則第10個(gè)圖案中有幾個(gè)白色地磚塊.

A.40

B.41

C.42

D.43

試題答案

C

試題解析

觀察圖形,發(fā)現(xiàn),第一個(gè)圖案有白色地磚6塊,后邊每多一個(gè)圖案,則多4塊白色地磚.根據(jù)這個(gè)規(guī)律,可確定第n個(gè)圖案中有白色地磚的數(shù)量.

解答:結(jié)合圖形,第一個(gè)圖案有白色地磚6塊,

后邊每多一個(gè)圖案,則多4塊白色地磚.

根據(jù)這個(gè)規(guī)律第n個(gè)圖案中有白色地磚:4n+2塊.

10個(gè)圖案中有白色地磚4×10+2=42塊.

故選C.

點(diǎn)評(píng):本題考查了圖形的變化類問題,此類題要能夠結(jié)合圖形,發(fā)現(xiàn)規(guī)律:在第一個(gè)圖案的基礎(chǔ)上,多一個(gè)圖案,多4塊白色地磚.是解決本題的關(guān)鍵.

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