100-99+98-97+96-95+94-93+.....+4-3+2-1=几 100-99+98-97+96-95+94-93.+4-3+...
\u5de7\u7b97:100-99+98-97+96-95+94-93+....+4-3+2-1=?100+99-98-97+96+95-\u2026\u2026+4+3-2-1
=(100-98)+(99-97)+......+(4-2)+(3-1)\uff08\u8fd9\u91cc\u628a\u4e00\u4e2a\u6b63\u6570\u548c\u5b83\u76f8\u9694\u4e00\u4e2a\u6570\u6bd4\u5b83\u5c0f\u7684\u8d1f\u6570\uff0c\u7531100\u5f00\u59cb\u4e24\u4e24\u7ec4\u5408\uff09
=2+2+2+2+2+....+2 ------\u517150\u7ec4\uff08\u4e00\u5171100\u4e2a\u6570\uff0c\u4e24\u4e24\u5206\u7ec4\u53ef\u4ee5\u5f97\u523050\u7ec4\uff09
=2\u00d750\uff0850\u4e2a2\u76f8\u52a0\u4e5f\u5c31\u662f2\u768450\u500d\uff0c\u4e5f\u5c31\u662f2\u4e58\u4ee550\uff09
=100
\u6269\u5c55\u8d44\u6599\uff1a
\u7b80\u4fbf\u8ba1\u7b97\u9700\u8981\u7528\u5230\u7684\u4e00\u4e9b\u516c\u5f0f\uff1a
\uff081\uff09\u5206\u914d\u5f8b=ac+ab=a(b+c)\u3002
\uff082\uff09\u7ed3\u5408\u5f8b=abc=a(bc)\u3002
\uff083\uff09\u4ea4\u6362\u5f8b=ab=ac\u3002
\uff084\uff09\u79ef\u4e0d\u53d8\u6027\u8d28=ab=(a\u00f7c)\u00d7(bc)(c\u22600)\u3002
\uff085\uff09\u52a0\u6cd5\uff1a\u7ed3\u5408\u5f8b=a+b+c=a+(b+c)\u3002
\uff086\uff09\u4ea4\u6362\u5f8b=a+b=b+a\u3002
\uff087\uff09\u9664\u6cd5\uff1aa\u00f7b\u00f7c=a\u00f7\uff08b\u00d7c\uff09(b\u22600,c\u22600)\u3002
100-99+98-97+96-95+94-93+....+4-3+2-1
=(100-99)+(98-97)+(96-95)+(94-93)+....+(4-3)+(2-1)
=1+1+1+\u2026\u2026+1
=50
望采纳
得数是50，100-99等于1，共有50组。50×1=50
100-99+98-97+96.......+4-3+2-1
=(100-99)+(98-97)+(96-95).......+(4-3)+(2-1)
=1+1+1+1+1+1+1+1+1.....+1+1+1
=1×（100÷2）
=1×50
=50
100-99+98-97+96-95+94-93+.....+4-3+2-1
=（100-99）+（98-97）+...+（2-1）
=50
答案是50
绛旓細杩欐牱缁撳悎锛100锛99锛夛紜锛98锛97锛夛紜...锛2锛1锛夛紳50锛1锛50
绛旓細鍘熷紡=(100-99)+(98-97)+96鈥︹-1 =(100+99)(100-99)+(98+97)(98-97).+(2+1)(2-1) =100+99+98+97+.+2+1 =(100+1)X100梅2 =5050
绛旓細鏈涢噰绾
绛旓細100-99+98-97+96-95??+4-3+2-1=(100-99)+(98-97)+(96-95)??+(4-3)+(2-1)=1+1+1??+1+1=50 鎬诲叡鏈50涓1锛屾墍浠ユ渶鍚庣殑绛旀灏辨槸50銆傝繍鐢ㄥ姞娉曠粨鍚堝緥璁＄畻锛屼細鍙樺緱寰堢畝鍗曪紝鍏蜂綋涓猴細a+b+c=a+(b+c)=(a+b)+c銆
绛旓細100-99+98-97+96-95+94...-3+2-1 =銆100-99銆+銆98-97銆+銆96-95銆+銆94-93銆+...銆4-3銆+銆2-1銆=50
绛旓細浣犺绠椾粈涔堬紝鏄浉鍔犵浉鍑忓悧 濡傛灉鏄偅鏍凤紝浣犲彲浠ユ妸姣忓洓涓粍鍚堣捣鏉ワ紝姣斿锛100-98鍔99-97锛屾渶鍚庡緱鍒帮紝杩欎竴缁勬槸4锛岃繖鏍峰湪100浠ュ唴鏈25缁勶紝灏变細鏈25涓4锛屾渶鍚庨兘鐩稿姞灏卞緱100锛屽鏋滀笉鏄偅灏变笉濂芥剰鎬濅簡锛岃繖閬撻鐨勯鐩簲璇ユ槸锛100+99-98-97+96+95-94-93+92+91-90-89鈥︹+4+3-2-1杩欐牱鐨勬眰瑙ｆ墠鏄...
绛旓細100-99+98-97+96-95...+2-1=(100-99)+(98-97)+(96-95)...+(2-1)=1+1+1+...+1 =50 绫讳技杩欐牱鐨勯鐩紝寰寰閮芥槸鏈夎寰嬫у彲寰殑銆傚仛鐨勫浜嗭紝鑷劧灏辨湁鎬濊矾浜嗐傚湪娣卞ゥ涓鐐圭殑涔熷彲浠ョ敤绛夊樊鏁板垪鎴栫瓑姣旀暟鍒楀叕寮忓幓瑙ｅ喅銆傜瓑宸暟鍒楋細鍜岋紳锛堥椤癸紜鏈」锛壝楅」鏁懊2 椤规暟锛濓紙鏈」-棣栭」锛壝...
绛旓細杩欓亾棰樺彲浠ョ畝渚胯绠椼100鈥99鍗98涓97鍗96涓95鈥︹︿竴1 =(100鈥99)鍗(98涓97)鍗侊紙96涓95锛夆︹(2涓1)=1+1+1鈥︹=50銆傛暟瀛﹁В棰樻柟娉曞拰鎶宸с備腑灏忓鏁板锛岃繕鍖呮嫭濂ユ暟锛屽湪瀛︿範鏂归潰瑕佹眰鏂规硶閫傚疁锛屾湁浜嗗ソ鐨勬柟娉曞拰鎬濊矾锛屽彲鑳戒細浜嬪崐鍔熷嶏紒閭ｆ湁鍝簺鏂规硶鍙互渚濇嵁鍛紵甯屾湜澶у鑳芥儻鐢ㄨ繖浜涙濈淮鍜屾柟娉曟潵...
绛旓細100+99+(1-2+3-4+...-96+97-98)鎷彿閲岄潰涓や袱缁勫悎 鏄 -1 鍏辨湁98/2=49缁 鎵浠 100+99-49=150 鏍囧噯涔﹀啓锛100锛99锛98锛97锛96锛嬧︼紜3锛2锛1 =100+锛99-98锛+锛97-96锛+锛95-94锛+鈥︹+锛3-2锛+1 =100+49+1 =150 ...
绛旓細l00-99+98-97+96-95+.鈥+4-3+2-1 =锛100-99锛+锛98-97锛+锛96-95锛+鈥︹+锛52-51锛+锛50-49锛+鈥︹+锛4-3锛+锛2-1锛=1+1+1+鈥︹+1 =1x50 =50 甯屾湜甯埌浣 鏈涢噰绾 璋㈣阿 鍔犳补
