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1、李如海行職講義一?數(shù)量關(guān)系一、數(shù)量關(guān)系的解題方法1.心算勝于筆算。2.先易后難。3.運(yùn)用速算方法。二、數(shù)量關(guān)系的實(shí)例(一)數(shù)字推理規(guī)律舉例1.容易的規(guī)律(1)自然數(shù)數(shù)列:4,5,6,7,()A.8B.6C.10D.11(2)奇數(shù)數(shù)列:各個數(shù)都是奇數(shù)(單數(shù)),不能被2整除之?dāng)?shù)。1,3,5,7,()A.11B.9C.13D.15(3)偶數(shù)數(shù)列,即各個數(shù)都是偶數(shù)(雙數(shù)),能被2整除之?dāng)?shù)。2,4,6,8,()A.12B.10C.11D.13(4)等差數(shù)列:相鄰數(shù)之間的差值相等。1,4,7,10,()A.11B.13C.16D.12(5)等比數(shù)列:相鄰數(shù)之間的比值相等。2,4,8,1
2、6,()A.21B.28C.32D.36(6)加法數(shù)列:1,0,1,1,2,(),5A.4B.3C.5D.7(7)減法數(shù)列:5,3,2,1,(),0A.1B.1C.2D.3(8)乘法數(shù)列:1,2,2,4,8,()A.12B.15C.30D.32(9)除法數(shù)列:8,4,2,2,1,()A.3B.4C.5D.2(10)平方數(shù)列:數(shù)列中的各數(shù)為一個數(shù)列的平方。1,4,9,16,()A.23B.24C.25D.26(11)立方數(shù)列:數(shù)列中的各數(shù)為一個數(shù)列的立方。1,8,27,64,()A.100B.115C.120D.125(12)質(zhì)數(shù)系列:只能被本身和1整除的整數(shù),也叫素?cái)?shù)。2,
3、3,5,7,()A.8B.9C.10D.11(13)題中出現(xiàn)的大數(shù)數(shù)列:3,7,47,2207,()A.4414B.6621C.8828D.4870847(14)純數(shù)字?jǐn)?shù)列:9,98,987,9876,()A.9875B.98765C.98764D.98763(15)分?jǐn)?shù)數(shù)列:1/9,1/11,1/13,1/15,()A.1/12B.1/14C.1/17D.1/16(16)隔項(xiàng)自然數(shù)列:6,9,7,10,8,11,()A.12,9B.9,12C.12,12D.13,14(17)分?jǐn)?shù)立方數(shù)列:1,1/8,1/27,1/64,()A.1/123B.1/124C.1/125D.1
4、/1262.較難的規(guī)律(1)二級等差數(shù)列:2,3,5,8,()A.8B.9C.15D.12(2)等差數(shù)列變式:3,4,6,9,(),18A.11B.13C.12D.18(3)二級等比數(shù)列:1,3,18,216,()A.1023B.1892C.243D.5184(4)等比數(shù)列的變式:3,5,9,17,()A.23B.33C.43D.25(5)暗的平方數(shù)列:2,3,10,15,26,35,()A.40B.50C.55D.60(6)暗的立方數(shù)列:3,10,29,66,()A.123B.124C.126D.127(7)質(zhì)數(shù)的變式:20,22,25,30,37,()A.40B.42C
5、.48D.50(8)雙重?cái)?shù)列:分為單數(shù)項(xiàng)與雙數(shù)項(xiàng)(或奇數(shù)項(xiàng)與偶數(shù)項(xiàng))。257,178,259,173,261,168,263,()A.275B.279C.164D.163(9)數(shù)量遞增的差數(shù)列:2,4,8,14,22,()A.30B.31C.32D.33(10)正負(fù)數(shù)間隔等比數(shù)列:-2,4,-8,16,()A.31B.-32C.33D.-34(11)差數(shù)列變式:.3,4,6,9,(),18A.12B.13C.14D.15(12)整數(shù)與小數(shù)數(shù)列:1.1,2.2,4.3,7.4,11.5,()A.15.5B.15.6C.15.8D.16.63.難的規(guī)律:即混合型數(shù)列,由上述兩種
6、以上的規(guī)律組成的數(shù)列。(1)差與平方數(shù)列:1,2,6,15,31,()A.45B.50C.56D.60(2)分?jǐn)?shù)與公比數(shù)列:1/19,38,1/76,152,1/304,()A.380B.608C.719D.1216(3)乘法加加法數(shù)列:6,14,30,62,()A.85B.92C.126D.250(4)除法加加法數(shù)列:5,17,21,25,()A.30B.31C.32D.34(5)減法加等比數(shù)列:4,7,16,43,124,()A.367B.248C.372D.496(6)加法加等比數(shù)列:3,6,21,60,()A.183B.189C.190D.243(7)立方加加法數(shù)列
7、:2,9,28,65,()A.128B.124C.126D.129(8)雙重?cái)?shù)列加加法數(shù)列:1,28,4,65,9,126,16,()A.215B.216C.217D.218(9)平方與加1減1數(shù)列:5,8,17,24,37,()A.49B.63C.80D.48(10)偶數(shù)項(xiàng)是奇數(shù)項(xiàng)的倍數(shù)數(shù)列:23,46,48,96,54,108,99,()A.200B.199C.197D.198(11)分子第一位數(shù)是后兩位數(shù)差的倍數(shù)數(shù)列:20/9,4/3,7/9,4/9,1/4,()A.5/36B.1/6C.1/9D.1/144