1十3十5十······十99一(2十4十6十······十98) 计算(1十3十5十7十·····十99)一(2十4十6十8十...
1\u53413\u53415\u5341\u2026\u2026\u534199\u4e00(2\u53414\u53416\u2026\u2026\u534198)\u89e3\uff1a
\u539f\u5f0f=
1\u53413\u53415\u5341\u2026\u2026\u534199\u4e00(2\u53414\u53416\u2026\u2026\u534198)
=\uff081-2\uff09+\uff083-4\uff09+...+\uff0897-98\uff09+99
=\uff08-1\uff09*49+99
=99-49
=50
\u89e3\uff1a\u539f\u5f0f=(1-2)+(3-4)+\u2026\u2026+\uff0897-98\uff09+99
=-1-1-1-\u2026\u2026-1+99
=\uff08-1\uff09\u00d749+99
=-49+99
=50
=119……
看不清
绛旓細姣忕浉閭荤殑涓や釜鏁伴兘鐩稿樊2鈥斺旇繖鏄竴涓瓑宸暟鍒椼1鍒99鐨勫鏁颁竴鍏辨湁50涓1+99=100锛2+98=100锛3+97=100鈥︹49+51=100锛屼竴鍏辨湁25涓100銆1+3+5+7+鈥︹+97+99 =锛1+99锛壝50梅2 =2500
绛旓細1+3+5+7+9+鈥︹+99鐨勫拰鏄伓鏁帮紙锛夋槸瀵圭殑 涓や釜濂囨暟鐩稿姞寰楀伓鏁,鐜板湪鏈50涓鏁板姞璧锋潵涓哄伓鏁
绛旓細瑙ｏ細鍘熷紡=(1-2)+(3-4)+鈥︹+锛97-98锛+99 =-1-1-1-鈥︹-1+99 =锛-1锛壝49+99 =-49+99 =50
绛旓細鐢ㄧ畝渚挎柟娉曠畻1鍗3鍗5鍗7鍗佲﹀崄97鍗99鎬庢牱绠绠椾究鍐欏瞼寮忓瓙 鎴戞潵绛 4涓洖绛 #鐑# 鎴愬勾浜虹殑鎶戦儊鏄惁澶у鍥犱负娌￠挶? 鏄熻景涓嬬殑鍏斿厰 2015-08-14 路 TA鑾峰緱瓒呰繃124涓禐 鐭ラ亾绛斾富 鍥炵瓟閲:189 閲囩撼鐜:0% 甯姪鐨勪汉:26涓 鎴戜篃鍘荤瓟棰樿闂釜浜洪〉 鍏虫敞 灞曞紑鍏ㄩ儴 (1+99)+(3+97)+鈥︹ 宸...
绛旓細绛夊樊鏁板垪锛屽彲浠ユ牴鎹叕寮忔潵姹傚拰鈥斺旓紙棣栭」+灏鹃」锛壝楅」鏁懊2鍥犳鍘熷紡=锛1+99锛壝梉锛99-1锛壝2+1]梅2=100脳25=2500
绛旓細棣栧熬鐩稿姞绛変簬涓鐧撅紝涓棿鐨勪簲鍗佹病鏈夐厤瀵瑰崟鐙垪鍑烘潵銆傛湁49涓竴鐧惧姞涓婁竴涓簲鍗佸氨鏄4950銆傜瓑宸暟鍒楀墠n椤瑰拰鍏紡楠岀畻涔熸槸4950銆傛枃瀛楄〃杩帮細鍜=(棣栭」 + 鏈」锛墄椤规暟 /2鏁板琛ㄨ揪锛1+2+3+4+鈥︹+ n = (n+1)n /2 绾︾堪路鍗″皵路寮楅噷寰烽噷甯屄烽珮鏂紙Johann Carl Friedrich Gauss 锛1777骞4鏈30鏃ワ紞1855骞...
绛旓細n-1)*d銆傚嵆an=1+(n-1)*2=2n-1銆傚張鍥犱负199=2*100-1锛屾墍浠199涓烘暟鍒梐n鐨勭100椤癸紝鍗砤100=199銆傞偅涔1+3+5+7+9+...+199=S100=a1+a2+a3+...+a100 鏍规嵁绛夊樊鏁板垪鍓峮椤瑰拰鐨勫叕寮廠n=n*a1+n(n-1)*d/2銆傚垯S100=100*a1+100*(100-1)*2/2 =100*1+100*99 =10000 ...
绛旓細1+3+5+7...+95+97+99璁＄畻鏂规硶濡備笅锛1+3+5+7+路路路+95+97+99銆=锛1+99锛壝45梅2銆=100脳45梅2銆=50脳45銆=2250銆傜瓑宸暟鍒楀叕寮忥細绛夊樊鏁板垪鍏紡an=a1+(n-1)d銆傚墠n椤瑰拰鍏紡涓猴細Sn=na1+n(n-1)d/2銆傝嫢鍏樊d=1鏃讹細Sn=(a1+an)n/2銆傝嫢m+n=p+q鍒欙細瀛樺湪am+an=ap+aq銆傝嫢...
绛旓細1+2+3+4+5+6+7+8+9+10+鈥︹+99+100 =锛1+100锛壝100梅2 =101脳50 =5050 杩欓亾棰樿繍鐢ㄤ簡绛夊樊鏁板垪姹傚拰鍏紡锛氾紙棣栭」+灏鹃」锛壝楅」鏁懊2锛屽嵆鎶100涓暟棣栦綅涓や袱缁撳悎鎴愪竴缁勭浉鍔狅細锛1+100锛+锛2+99锛+锛3+98锛+锛4+97锛+...鈥+锛50+51锛夎繖鏍锋瘡涓嫭鍙烽噷闈㈢殑鍜岄兘鏄101锛屼竴鍏卞垎涓100/...
绛旓細涓鍔犱笁鍔犱簲鍔犱竷鍔犱節鍔犲崄涓鍔犲崄涓夊姞鍗佷簲瀹跺疄闄呯敳鍗佷節鐨勭粨鏋滄槸澶氬皯澶╂槸濂囨暟杩樻槸鍋 1+3+5+鈥︹+17+19 =锛1+19锛壝10梅2 =20脳5 =100 鏄伓鏁 浣犺兘宸х畻:浜屽崄涓鍔犱簩鍗佷笁鍔犱簩鍗佷簲鍔犅仿仿峰姞鍥涘崄浜斿姞鍥涘崄涓冨姞鍥涘崄涔 21+49=70 22+48=70 23+47=70 24+46=70 25+45+70 銆傘傘 34+...
