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歡迎您訪問數(shù)學(xué)考題練習(xí):仔細(xì)觀察下面4個數(shù)字所表示的圖形,請問:數(shù)字1!

數(shù)學(xué)考題練習(xí):仔細(xì)觀察下面4個數(shù)字所表示的圖形,請問:數(shù)字1

更新時間:2024-01-12 16:37:58作者:貝語網(wǎng)校

仔細(xì)觀察下面4個數(shù)字所表示的圖形,請問:數(shù)字100所代表的圖形中方格的個數(shù)是

A.10401

B.19801

C.20201

D.39801

試題答案

C

試題解析

根據(jù)4個數(shù)字所表示的圖形,即可得出數(shù)字n所代表的方格的個數(shù)是2n2+2n+1,即可得出數(shù)字100所代表的圖形中方格的個數(shù).

解答:∵數(shù)字0所代表的圖形中方格的個數(shù)是:1,

數(shù)字1所代表的圖形中方格的個數(shù)是:5,

數(shù)字2所代表的圖形中方格的個數(shù)是:13,

數(shù)字3所代表的圖形中方格的個數(shù)是:25,

∴數(shù)字n所代表的方格的個數(shù)是2n2+2n+1,

∴數(shù)字100所代表的圖形中方格的個數(shù)是:2×1002+2×100+1=20201,

故答案為:C.

點評:此題主要考查了數(shù)字變化規(guī)律,根據(jù)已知得出數(shù)字n所代表的方格的個數(shù)是2n2+2n+1是解題關(guān)鍵.

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