5類找規(guī)律題庫及答案

一、單項(xiàng)選擇題(每題2分,共10題)1.2,5,8,11,（）A.13B.14C.15D.162.1,4,9,16,()A.20B.21C.24D.253.3,6,12,24,()A.36B.48C.60D.724.1,1,2,3,5,()A.6B.7C.8D.95.5,10,20,40,()A.60B.80C.100D.1206.2,3,5,7,()A.8B.9C.11D.137.1,3,7,15,()A.31B.32C.33D.348.4,6,8,10,()A.11B.12C.13D.149.9,18,27,36,()A.45B.48C.50D.5410.2,6,18,54,()A.108B.162C.180D.216答案:1.B2.D3.B4.C5.B6.C7.A8.B9.A10.B二、多項(xiàng)選擇題(每題2分,共10題)1.以下屬于等差數(shù)列的有()A.1,3,5,7B.2,4,6,8C.1,2,4,8D.5,10,15,202.數(shù)字規(guī)律有(）A.等差數(shù)列B.等比數(shù)列C.平方數(shù)列D.立方數(shù)列3.觀察數(shù)列3,5,7,9,11,其規(guī)律可能是()A.相鄰兩項(xiàng)差值為2B.首項(xiàng)為3的等差數(shù)列C.奇數(shù)數(shù)列D.后一項(xiàng)比前一項(xiàng)大24.下列數(shù)列是等比數(shù)列的有()A.2,4,8,16B.3,9,27,81C.1,1,1,1D.5,10,20,405.數(shù)列1,4,9,16,25符合()規(guī)律。A.自然數(shù)平方數(shù)列B.首項(xiàng)為1C.相鄰兩項(xiàng)差值遞增D.依次加3,5,7,96.找規(guī)律的方法有(）A.觀察相鄰數(shù)字關(guān)系B.分析數(shù)字特征C.嘗試不同運(yùn)算D.與常見數(shù)列對(duì)比7.數(shù)列2,4,6,8,10是()A.偶數(shù)數(shù)列B.等差數(shù)列C.遞增數(shù)列D.首項(xiàng)為28.對(duì)于數(shù)列1,3,9,27,81,說法正確的是()A.等比數(shù)列B.公比為3C.后一項(xiàng)是前一項(xiàng)的3倍D.首項(xiàng)為19.數(shù)列5,15,45,135,405規(guī)律是()A.等比數(shù)列B.公比為3C.后一項(xiàng)是前一項(xiàng)乘3D.首項(xiàng)為510.下列可能是數(shù)列規(guī)律的是()A.數(shù)字重復(fù)出現(xiàn)B.數(shù)字按周期變化C.數(shù)字與項(xiàng)數(shù)有關(guān)D.數(shù)字運(yùn)算規(guī)律復(fù)雜答案:1.ABD2.ABCD3.ABCD4.ABCD5.ABD6.ABCD7.ABCD8.ABCD9.ABCD10.ABCD三、判斷題(每題2分,共10題)1.數(shù)列1,2,3,4,5是等差數(shù)列。()2.1,2,4,8,16是等比數(shù)列。()3.數(shù)列3,6,9,12,15相鄰兩項(xiàng)差值不相等。()4.5,10,15,20,25是首項(xiàng)為5的等差數(shù)列。(）5.2,4,8,16,32是平方數(shù)列。（)6.數(shù)列找規(guī)律只能從相鄰兩項(xiàng)關(guān)系找。()7.1,1,2,3,5,8是等比數(shù)列。()8.數(shù)列9,8,7,6,5是遞減數(shù)列。(）9.4,8,12,16,20規(guī)律是依次加4。（)10.數(shù)列規(guī)律一旦確定就不會(huì)改變。(）答案:1.√2.√3.×4.√5.×6.×7.×8.√9.√10.×四、簡答題(每題5分,共4題)1.觀察數(shù)列2,5,8,11,14,說出其規(guī)律并寫出接下來的一項(xiàng)。答案:規(guī)律是后一項(xiàng)比前一項(xiàng)大3,接下來一項(xiàng)是17。2.對(duì)于數(shù)列1,4,9,16,25,簡述其規(guī)律。答案:是自然數(shù)平方數(shù)列,分別是12、22、32、42、52。3.分析數(shù)列3,6,12,24,48的規(guī)律。答案:后一項(xiàng)是前一項(xiàng)的2倍,是等比數(shù)列。4.找出數(shù)列1,3,7,15,31的規(guī)律并寫后續(xù)數(shù)字。答案：規(guī)律是后一項(xiàng)比前一項(xiàng)的2倍多1,后續(xù)數(shù)字是63。五、討論題(每題5分,共4題)1.討論如何快速準(zhǔn)確找出數(shù)列規(guī)律。答案:先觀察相鄰數(shù)字關(guān)系,再看數(shù)字特征,嘗試不同運(yùn)算,與常見數(shù)列對(duì)比,多做練習(xí)積累經(jīng)驗(yàn)。2.談?wù)劦缺葦?shù)列和等差數(shù)列規(guī)律的區(qū)別。答案:等差數(shù)列相鄰兩項(xiàng)差值固定,等比數(shù)列相鄰兩項(xiàng)比值固定。