1十2一3十4十5一6十7十8一9....十2011十2012一2013二的答案 11计算 （1）1十2一3一4十5十6一7一8……十2009...
1\u4e002\u4e003\u53414\u53415\u4e006\u4e007\u53418\u5341\u3001\u3001\u3001\u30012\u3002\u30029\u4e002010\u4e002011\u53412012\u53412013\u7684\u7b80\u4fbf
\u5982\u56fe
=﹙1十2一3﹚十﹙4十5一6﹚十﹙7十8一9﹚+﹙10+11-12﹚+﹙13+14-15﹚....十﹙2011十2012一2013﹚
=0+3+6+9+12+.......+2010 ﹙共有2013÷3=671项﹚
= 3+6+9+12+...+2010 ﹙共有671-1=670项， 前n项和公式为：Sn=na1+n(n-1)d/2﹚
=3×670+670﹙670-1﹚×3／2
=2010+672345=674355
或者
1十2一3十4十5一6十7十8一9....十2011十2012一2013
=﹙1十2一3﹚十﹙4十5一6﹚十﹙7十8一9﹚+﹙10+11-12﹚+﹙13+14-15﹚....十﹙2011十2012一2013﹚
=0+3+6+9+12+.......+2010 ﹙共有2013÷3=671项， 前n项和公式为：Sn=na1+n(n-1)d/2﹚
=0×671+671﹙671-1﹚×3／2
=674355
=（1+2013）*2013/2-3*（1+671）*671
=674355
绛旓細= 3+6+9+12+...+2010 锕欏叡鏈671-1=670椤癸紝 鍓峮椤瑰拰鍏紡涓猴細Sn=na1+n(n-1)d/2锕=3脳670+670锕670-1锕毭3锛2 =2010+672345=674355 鎴栬 1鍗2涓3鍗4鍗5涓6鍗7鍗8涓9...鍗2011鍗2012涓2013 =锕1鍗2涓3锕氬崄锕4鍗5涓6锕氬崄锕7鍗8涓9锕+锕10+11-12锕+锕13+14-...
绛旓細杩欐牱鐨勬帓搴忥紝鏃犺鏄澶х殑鏁板瓧锛岄兘鍙互杩欐牱绠楋紝1+99=100锛2+98=100锛3+97=100浠ユ绫绘帹锛岀畻鍑哄灏戠粍杩欐牱鐨勭粍鍚堬紝100鍦ㄤ箻浠ョ粍鍚堟暟锛屽鍑虹殑鏁板瓧涓嶈兘缁勫悎鐨勶紝鍗曠嫭涓庢诲拰鐩稿姞灏卞彲浠ヤ簡銆傛暟瀛楀垎濂藉嚑绉嶏紝闃挎媺浼暟瀛楁槸鏈鏅亶鐨勪竴绉嶃傞樋鎷変集鏁板瓧骞朵笉鏄樋鎷変集浜哄彂鏄庣殑鑰屾槸鍗板害浜哄彂鏄庣殑锛屽疄闄呭簲璇ュ垪涓哄嵃搴﹁瑷...
绛旓細=锛1鍗2-3锛夊崄锛4鍗5-6锛夊崄锛7鍗8-9锛+鈥︹+锛100+101-102锛+102 = 0+3鍗6鍗+鈥︹+99+102 = 3脳锛1鍗2鍗+鈥︹+34锛= 3脳锛1+34锛壝34梅2 = 1785 杩炵画鑷劧鏁扮殑鍜=锛堝ご+灏撅級脳涓暟梅2
绛旓細璁＄畻杩囩▼濡備笅锛1+2-3+4+5-6+7+8-9+...+97+98-99 =锛1+2-3锛+锛4+5-6锛+锛7+8-9锛+鈥+锛97+98-99锛=0+3+6+9+鈥+96 =3脳锛1+2+3+4+鈥+31+32锛=1584 绠渚胯绠楁柟娉曪細1銆佸湪鍚岀骇杩愮畻涓紝鍙互浠绘剰浜ゆ崲鏁板瓧鐨勪綅缃紝浣嗚杩炵潃鍓嶉潰鐨勭鍙蜂竴璧蜂氦鎹傦紙鍔犳硶鎴栦箻娉曚氦鎹㈠緥锛2 銆...
绛旓細鍘熷紡 =1+(2-3)+4+(5-6)+7+(8-9)+...+97-(98-99)=1-1+4-1+7-1+...+97-1 =0+3+6+...+96 =3x(1+2+...+32)=3x(1+32)x32/2 =1584
绛旓細绛変簬570銆1 2 -3=0,4 5-6=3,7 8-9=6...58 59-60=57,鍙互鍖栦负 3脳(1 2 3 ••• 19)=3脳(20脳9 10)=570 1+60=61 2+59=61 29+32=61 30+31=61 鍏辨湁60/2=30涓61 鎵浠ヨ绠楀紡涓 (1+60)脳60/2 = 1830 瀹氫箟 鍔犳硶锛氭妸涓や釜鏁板悎骞舵垚涓涓暟鐨勮繍绠...
绛旓細锛8 锛1 锛6 锛3 锛5 锛7 锛4 锛9 锛2 杩欓亾棰樼浉褰撲簬鎶1锛9濉叆3闃跺够鏂,缁濆鍊肩殑鍜屾槸15,濂囨暟.鎵浠ュ姞绗﹀彿鍚庢潯浠1鑲畾鎴愮珛.濉鏁伴樁骞绘柟鏃舵渶绠鍗曠殑鏂规硶鏄綏鍗氭硶.
绛旓細1鍗2涓3涓4鍗5鍗6涓7涓8 = (1鍗2涓3涓4) 鍗 (5鍗6涓7涓8)= -4 + (-4)= -8
绛旓細1鍗2涓3涓4鍗5鍗6涓7涓8鍗9鍗10鈥︹﹀崄1990 =(1鍗2涓3涓4)鍗(5鍗6涓7涓8)鍗(9鍗10-11-12)鍗...+1989+1990 =(-4)*1988/4+1989+1990 =1991
绛旓細鍘绘帀鍓嶉潰1+2鍚庝负2012涓暟瀛楋紝4涓竴缁勫叡503缁,姣忕粍缁撴灉鏄4 =1+2+4x503 =3+2012 =2015
