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歡迎您訪問數(shù)學考題練習:由相同的小立方體搭一個幾何體,使得它的主視圖和!

數(shù)學考題練習:由相同的小立方體搭一個幾何體,使得它的主視圖和

更新時間:2024-01-12 16:35:47作者:貝語網(wǎng)校

由相同的小立方體搭一個幾何體,使得它的主視圖和俯視圖如圖所示,搭成這種幾何體至少需要_____個小立方體.

A.8

B.9

C.10

D.11

試題答案

B

試題解析

由幾何體的主視圖和俯視圖可知,該幾何體的主視圖的第一列3個正方形中每個正方形所在位置最多均可有2個小立方塊,最少一個正方形所在位置有2個小立方塊,其余2個所在位置各有1個小立方塊;主視圖的第二列2個小正方形中,每個小正方形所在位置最多均可有3個小立方塊,最少一個正方形所在位置有1個小立方塊,另一個所在位置有1個小立方塊;主視圖的第三列1小正方形所在位置只能有1個小立方塊.

解答:這樣的幾何體不止一種,而有多種擺法.

最少需要2+1+1+3+1+1=9(個)小立方塊,

故選B.

點評:考查學生對三視圖掌握程度和靈活運用能力,同時也體現(xiàn)了對空間想象能力方面的考查.如果掌握口訣“俯視圖打地基,正視圖瘋狂蓋”就更容易得到答案.

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