小学六年级难的奥数题简便运算及答案,急用

kuaidi.ping-jia.net  作者:佚名   更新日期:2024-07-11
6年级奥数题简便运算

2004^2-2003^2
=(2004+2003)(2004-2003)
=4007

(3又2/9+9又2/3)/(1/9+1/3)
=(29/9+29/3)/(1/9+1/3)
=29(1/9+1/3)/(1/9+1/3)
=29


2.4*(乘)20又3/5+33.1*(乘)7.6
=12/5*103/5+331/10*38/5
=12*103/25+331*19/25
=(12*103+331*19)/25
=(1200+12*3+331*20-331)/25
=7525/25
=301

(2890+5/6+7/8+7/10)/(5/6+7/8+7/10)
=2890/(5/6+7/8+7/10)+1
=2890/[(100+7*15+7*12)/120+1
=2890*120/[100+7*(15+12)]+1
=2890*120/289+1
=1200+1
=1201

可以变形,把第二位的6看成是2乘以3.后面依次类推。
原式=1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6
=1-1/7
=6/7

1/1*3+1/2*4+1/3*5+1/4*6+1/5*7......1/98*100+1/99*101
=(1-1/3+1/2-1/4+1/3-1/5+1/4-1/6+1/5-1/7+……+1/98-1/100+1/99-1/101)÷2
=(1+1/2-1/100-1/101)÷2
=15049/10100÷2
=15049/20200
6分之1+12分之1+24分之1+48分之1+96分之1+192分之1
=1/6×(1+1/2+1/4+1/8+1/16+1/32)
=1/6×(1-1/32)
=1/6-1/192
=31/192
1/(1×2)+2/(1×2×3)+3/(1×2×3×4)+4/(1×2×3×4×5)+5/(1×2×3×4×5×6)+6/(1×2×3×4×5×6×7)
= 1-1/(1×2)+1/(1×2)-1/(1×2×3)+1/(1×2×3)-1/(1×2×3×4)+1/(1×2×3×4)-1/(1×2×3×4×5)+1/(1×2×3×4×5)-1/(1×2×3×4×5×6)+1/(1×2×3×4×5×6)-1/(1×2×3×4×5×6×7)
=1-1/(1×2×3×4×5×6×7)
=1-1/5040
=5039/5040
二分之一+三分之一+三分之二+四分之一+四分之二+四分之三+五分之一+五分之二+五分之三+五分之四+...一千分之一+一千分之二+...+一千分之九百九十九
=1/2+2/2+3/2+4/2+……+999/2
=(1/2+999/2)×999÷2
=500×999/2
=249750

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