九十九分之一加十分之一等于多少 九分之一加九十九分之一加九百九十九分之一加九千九百九十九分之...
\u4e5d\u5341\u4e5d\u5206\u4e4b\u4e00\u52a0\u4e00\u767e\u5206\u4e4b\u4e00\u7b49\u4e8e\u4e5d\u767e\u4e5d\u5341\u5206\u4e4b\u4e00\u767e\u4e5d\u5341\u4e5d\u5417\uff1f\u4e0d\u5bf9\u5427\uff0c\u4f60\u4ed4\u7ec6\u7b97\u7b97\u3002\u901a\u5206\u662f9900\u5206\u4e4b100\uff0c\u548c9900\u5206\u4e4b99\uff0c\u5e94\u8be5\u662f9900\u5206\u4e4b199
=(1111+111+11+1)/9999
=1234/9999
\u5c31\u662f\u518d\u52a0\u4e0b\u53bb\uff0c\u4f60\u53ef\u4ee5\u987a\u63a8\u89c4\u5f8b\u7684\u3002
十分之一 就是九百九十分之九十九
所以相加就是 九百九十分之一百零九
好多九 帅气
109/990
109/990
绛旓細涔濆崄涔濆垎涔嬩竴 灏辨槸涔濈櫨涔濆崄鍒嗕箣鍗 鍗佸垎涔嬩竴 灏辨槸涔濈櫨涔濆崄鍒嗕箣涔濆崄涔 鎵浠ョ浉鍔犲氨鏄 涔濈櫨涔濆崄鍒嗕箣涓鐧鹃浂涔 濂藉涔 甯呮皵
绛旓細1/3+1/15+1/35+1/63+1/99 =(1/2)*(2/3+2/15+2/35+2/63+2/99) =(1/2)*((1/1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)) =(1/2)*(1-1/11) =5/11
绛旓細涓嶅鍚э紝浣犱粩缁嗙畻绠椼傞氬垎鏄9900鍒嗕箣100锛屽拰9900鍒嗕箣99锛屽簲璇ユ槸9900鍒嗕箣199
绛旓細鍘熷紡 = 1/(1脳3)+1/(3脳5)+1/(5脳7)+1/(7脳9)+1/(9脳11)= (1/2)脳[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]= (1/2)脳[1-1/11]= (1/2)脳(10/11)= 5/11 甯屾湜瀵逛綘鐨勫涔犳湁甯姪,璋㈣阿閲囩撼O(鈭鈭)O ...
绛旓細鐪嬪浘鐗囧惂路路鍙湁姝荤畻鐨勬柟娉
绛旓細璁＄畻杩囩▼濡備笅锛氫笁鍒嗕箣涓鍔犲崄浜斿垎涔嬩竴鍔犱笁鍗佷簲鍒嗕箣涓鍔犲叚鍗佷笁鍒嗕箣涓鍔犱節鍗佷節鍒嗕箣涓 =1/(1脳3)+1/(3脳5)+1/(5脳7)+1/(7脳9)+1/(9脳11)=(1/2)(1/1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)=(1/2)(1-1/11)=(1/2)脳10/11 =5/11 鍒嗘暟璁＄畻锛氬悓鍒嗘瘝鍒嗘暟...
绛旓細鍘熷紡=1/2x(1-1/3)+1/2x(1/3-1/5)+...+1/2x(1/11-1/13)=1/2x(1-1/13)=6/13 璇峰ソ璇 濡傛灉浣犺鍙垜鐨勫洖绛旓紝鏁鍙婃椂閲囩撼锛寏濡傛灉浣犺鍙垜鐨勫洖绛旓紝璇峰強鏃剁偣鍑汇愰噰绾充负婊℃剰鍥炵瓟銆戞寜閽畘~鎵嬫満鎻愰棶鐨勬湅鍙嬪湪瀹㈡埛绔彸涓婅璇勪环鐐广愭弧鎰忋戝嵆鍙倊浣犵殑閲囩撼鏄垜鍓嶈繘鐨勫姩鍔泘~O(鈭鈭)O锛...
绛旓細1+涓夊垎涔嬩竴+鍗佷簲鍒嗕箣涓+涓夊崄浜斿垎涔嬩竴+鍏崄涓夊垎涔嬩竴+涔濆崄涔濆垎涔嬩竴涓鐩村姞鍒颁節鍗冧節鐧句節鍗佷節鍒嗕箣涓=1+1/1*3+1/3*5+1/5*7+1/7*9+1/9*11...+1/99*101=[2+(3-1)/1*3+(5-3)/3*5+(7-5)/5*7+(9-7)/7*9+(11-9)/9*11+...+(101-99)/99*101]/2=[2+1-1/3+1...
绛旓細鐢遍鎰忓彲寰 鐢变簬鍒嗘瘝鐩稿悓鎴戜滑鍏堟眰鍑哄垎瀛愪箣鍜 1+2锛3锛...锛99 锛漑(1+99)脳99]/2 锛100脳99梅2 锛4950 鍒欑櫨鍒涔嬩竴鍔鍒扮櫨鍒涔嬩節鍗佷節涓 4950梅100锛49.5 绛:鍜屼负49.5銆
绛旓細灏3,15,35...鐪嬫垚鏄2²-1,4²-1,6²-1...,鐢ㄥ钩鏂瑰樊鍏紡灏嗗叾鍙樻垚1脳3,3脳5,5脳7...,瑁傞」寰楀埌1锛2脳(1-1锛13)=6锛13
