100*99*98一直乘到1，98*97一直乘到1，它们分别是多少 100*100-99*99-98*98-97*97........
100*99*98*97\u4e00\u76f4\u4e58\u52301\u600e\u6837\u505a\u6211\u89c9\u5f97\u5979\u80fd\u628a\u4f60\u7529\u4e86\uff0c\u4e5f\u53ea\u80fd\u8bf4\u660e\u6ca1\u771f\u6b63\u7528\u5fc3\u7684\u53bb\u7231\uff0c\u53bb\u4ed8\u51fa\uff0c\u4e0d\u7136\u4e0d\u4f1a\u8f7b\u6613\u7684\u548c\u522b\u4eba\u597d\u4e0a\uff0c\u5973\u4eba\u90fd\u5f88\u73b0\u5b9e\uff0c\u4e5f\u5f88\u5584\u53d8\u7684\uff0c\u4e5f\u8bb8\u90a3\u4e2a\u7537\u7684\u5728\u67d0\u4e9b\u5730\u65b9\u6ee1\u8db3\u4e86\u5979\u7684\u865a\u8363\u5fc3\uff0c\u5979\u624d\u4f1a\u79bb\u5f00\u4f60\u3002 \u8fd9\u4e9b\u4e8b\u60c5\u8fc7\u53bb\u7684\u5c31\u8fc7\u53bb\u4e86\uff0c\u522b\u5728\u60f3\u4e86\uff0c\u5206\u624b\u5c31\u5206\u624b\u4e86\uff0c\u5982\u679c\u90a3\u4e2a\u7537\u7684\u77e5\u9053\u5979\u6709\u7537\u670b\u53cb\u548c\u4ed6\u8fd8\u597d\u4e0a\uff0c\u8fd9\u4e2a\u7537\u4eba\u4e5f\u4e0d\u4f1a\u5bf9\u5979\u7684\u5370\u8c61\u597d\u5230\u54ea\u53bb\uff0c\u968f\u4fbf\u5c31\u53ef\u4ee5\u548c\u7537\u670b\u53cb\u5206\u624b\u548c\u522b\u4eba\u597d\u4e0a\uff0c\u4f60\u89c9\u5f97\u90a3\u4e2a\u7537\u7684\u4ed6\u4f1a\u4e0d\u4f1a\u62c5\u5fc3\u5979\u4e0b\u4e00\u4e2a\u4e3e\u52a8\u5462\uff01
100^2 -(1^2 +2^2 +...+99^2 )
=100^2 -(99*100*199)/6
=10000 -328350
=-318350
\u5e94\u7528\u4e86\u516c\u5f0f:
(1^2 +2^2 +...+n^2 )=n(n+1)(2n+1)/6
98！=98*97...*1=9.4268904488832477456261857430572e+153
呵呵，这个题也可以理解为1*2*3*4*……*98或1*2*3*4*……*98
*99
我告诉你，这叫一个什么数列，不用求出确切数值，你问问你老师吧，很简单就能求出
100!=93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
98!=9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000
计算器终于派上用场了
绛旓細100!/99!=(100*99*98*鈥︹︼紛1)锛忥紙99*98*鈥︹*1锛=[100*(99!)]/991!=100,搴旇鏄繖鏍峰惂
绛旓細100锛/98锛=(100脳99脳98脳97脳鈥γ1)/(98脳97脳鈥γ1)=100脳99=9900銆傚嵆绛変簬绗竴涓暟渚濇涔樺埌绗簩涓暟鐨勫墠涓浣嶃備緥濡傛墍瑕佹眰鐨勬暟鏄4锛屽垯闃朵箻寮忔槸1脳2脳3脳4锛屽緱鍒扮殑绉槸24锛24灏辨槸4鐨勯樁涔樸 渚嬪鎵瑕佹眰鐨勬暟鏄6锛屽垯闃朵箻寮忔槸1脳2脳3脳鈥︹γ6锛屽緱鍒扮殑绉槸720锛720灏辨槸6鐨勯樁涔樸
绛旓細鍥犱负100!=浠100涔樺埌1鐨,98!鏄粠98涔樺埌1鐨,100!闄や互98!,98鍒1閮界粺缁熺害鍒,鍙墿涓100*99
绛旓細瑙ｏ細100!/99!=(100脳99脳98脳...脳1)/(99脳98脳...脳1)=100 鈥!鈥濊繖绉嶈繍绠楁槸瀛樺湪鐨勶紝鍙仛鈥滈樁涔樷濓紝浣犱互鍚庝細鍦ㄥ鎺掑垪缁勫悎鏃跺鍒般
绛旓細鑳藉涓嶈兘澶氾紝鍏ㄧ湅璐ㄥ洜鏁5鐨勪釜鏁般25鏄5鐨勫钩鏂癸紝鍚湁涓や釜璐ㄥ洜鏁5锛岃繖閲屽鍑1涓5鏉ャ備粠1涔樺埌30锛岃櫧鐒30涓洜鏁颁腑鍙湁6涓槸5鐨勫嶆暟锛屼絾鏄嵈鍚湁7涓川鍥犳暟5銆傛墍浠ヤ箻绉殑鏈熬鍏辨湁7涓0銆備箻鍒30鐨勪細鍋氫簡锛屾棤璁哄澶ц寖鍥寸殑涔熷氨浼氬仛浜嗐備緥濡傦紝杩欐涔樺涓浜涳紝浠1涔樺埌100锛1脳2脳3脳4脳鈥γ99脳100...
绛旓細100锛/98锛=100*99=9900
绛旓細鑳藉涓嶈兘澶氾紝鍏ㄧ湅璐ㄥ洜鏁5鐨勪釜鏁般25鏄5鐨勫钩鏂癸紝鍚湁涓や釜璐ㄥ洜鏁5锛岃繖閲屽鍑1涓5鏉ャ備粠1涔樺埌30锛岃櫧鐒30涓洜鏁颁腑鍙湁6涓槸5鐨勫嶆暟锛屼絾鏄嵈鍚湁7涓川鍥犳暟5銆傛墍浠ヤ箻绉殑鏈熬鍏辨湁7涓0銆備箻鍒30鐨勪細鍋氫簡锛屾棤璁哄澶ц寖鍥寸殑涔熷氨浼氬仛浜嗐備緥濡傦紝杩欐涔樺涓浜涳紝浠1涔樺埌100锛1脳2脳3脳4脳鈥γ99脳100...
绛旓細100! = 9332621544394415268169923885626670049071596826438162146859296389521759\ 9993229915608941463976156518286253697920827223758251185210916864000000\ 000000000000000000 鎵浠ラ浣嶆暟瀛楁槸9
绛旓細榄囬崊鑻瓛,浣犲ソ锛氫綘鎵璋撶殑100脳99脳98脳97脳96脳鈥︹γ2脳1锛涔熷氨鏄100鐨勯樁涔橈紝涔熷彲浠ョ畝鍐欎綔鈥100锛佲濓紝濡傛灉浣犲鏁板鏈夋洿娣卞叆鐐圭殑鎺ヨЕ鐨勮瘽锛屽氨浼氭槑鐧介樁涔樻湰韬槸娌℃湁绠渚胯繍绠楀彲瑷鐨勶紝鍙彲浠ョ‖绠楋紝濡傛灉浣犳兂璁＄畻鏇村ぇ鐨勬暟锛屾垜寤鸿浣犱笂鐧惧害瀵绘壘璁＄畻闃朵箻鐨勮蒋浠讹紝鍚澶氬ぇ鐨勬暟閮借兘璁＄畻鍑烘潵銆傚鏋滀綘瀵...
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