2分之一加4分之一加8分之一加16分之一加32分之一等于多少
1/2+1/4+1/8+1/16+1/32= (1/2+1/4+1/8+1/16+1/32) * (32 / 32 )
= (1/2 * 32 + 1/4 * 32 + 1/8 * 32 + 1/16 * 32 + 1/32 * 32) / 32
= (16 + 8 + 4 +2 + 1) / 32
= 31/32
绛旓細璁＄畻杩囩▼濡備笅锛1/2+1/4+1/8+1/16+...+1/128 =1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+...+1/64-1/128 =1-1/128锛堢敱涓婁竴姝ョ害鎺夛級=127/128
绛旓細瑙ｏ細浜屽垎涔嬩竴鍔犲洓鍒嗕箣涓鍔犲叓鍒嗕箣涓鈥︹﹀姞涓鐧句簩鍗佸叓鍒嗕箣涓 =1/2+1/4+1/8+鈥︹+1/128 =(1-1/2)+(1/2-1/4)+(1/4-1/8)+鈥︹+(1/64-1/128)=1-1/2+1/2-1/4+1/4-1/8+鈥︹+1/64-1/128 锛堜腑闂翠袱椤逛负涓缁勭浉鍔犲垰濂戒负0鎶垫秷浜嗭級=1-1/128 =127/128 ...
绛旓細1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256 =1-1/256 =255/256
绛旓細1/2+1/4=1/1/4=3/4 1/2+1/4+1/8=1-1/8=7/8 鈥︹2鍒嗕箣1鍔4鍒嗕箣涓鍔8鍒嗕箣涓鍔16鍒嗕箣涓鍔犲埌2048鍒嗕箣涓=1-1/2048=2047/2048
绛旓細瑙ｏ細渚濋鎰忓緱绠楀紡锛2鍒嗕箣1+4鍒嗕箣1+8鍒嗕箣1+24鍒嗕箣1 =24鍒嗕箣12+24鍒嗕箣6+24鍒嗕箣3+24鍒嗕箣1 =24鍒嗕箣锛12+6+3+1锛=24鍒嗕箣22 =12鍒嗕箣11 鍗2鍒嗕箣1+4鍒嗕箣1+8鍒嗕箣1+24鍒嗕箣1=12鍒嗕箣11
绛旓細浜屽垎涔嬩竴鍔犲洓鍒嗕箣涓鍔犲叓鍒嗕箣涓鍔鍗佸叚鍒嗕箣涓鍔犱笁鍗佷簩鍒嗕箣涓 1锛2鍗1锛4鍗1锛8鍗1锛16鍗1锛32锛濓紙1锛2x锛1涓锛1锛2锛夛季5锛夛級锛1涓1锛2 锛濓紙1锛2x锛1涓1锛32锛夛紡1锛2 锛1涓1锛32 锛31锛32
绛旓細涓よ竟鍚屾椂涔樹互64锛屽垯 64S=32+16+8+4+2+1=63 鍥犳 S=63/64 瑙ｆ硶涓夛細鍘熷紡=1/64(32+16+8+4+2+1) =1/64*63 =63/64 1锛2鍒嗕箣1锛4鍒嗕箣1锛8鍒嗕箣1锛16鍒嗕箣1锛32鍒嗕箣1锛64鍒嗕箣1 鏂规硶涓锛 1+1/2+1/4+1/8+1/16+1/32+1/64 =1+1/2+1/4+1/8+1/16+1/...
绛旓細浜屽垎涔嬩竴鍔犲洓鍒嗕箣涓鍔犲叓鍒嗕箣涓 =鍏垎涔(4+2+1)=鍏垎涔嬩竷
绛旓細鍒嗘瀽锛氬厛閫氬垎锛屽彉鎴愬悓鍒嗘瘝鐨勫垎鏁扮浉鍔犲氨鍙互浜嗐傝В锛½锛¼锛1/8+1/16+1/32+1/64+1/128 =64/128+32/128+16/128+8/12+4/128+2/128+1/128 =锛64+32+16+8+4+2+1锛/128 =127/128 锛堢粨鏋滄槸128鍒嗕箣127锛
绛旓細鍙互鍏鍔犱笂1/64锛屽啀鍑忓幓1/64 1/2+1/8+1/16+1/32+1/64+1/64-1/64=1-1/64=63/64 鍏跺疄杩欐槸绛夋瘮鏁板垪锛岄椤筧1=1/2,鍏瘮q=1/2锛岄」鏁皀=7.=63/64
