数学题简便什么做

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数学题简便什么做
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数学题简便什么做
数学题简便什么做
 

数学题简便什么做
5/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8-1/8-1/9+1/9+1/10
=1+1/10=11/10

1+1/4+9/20+11/30+23/42+15/56+17/72+19/90
=1+1/4+(1/2-1/20)+(1/30+1/3)+(1/2+1/21)(16/56-1/56)+(18/72-1/72)+(18/90+1/90)
=1+1/4+1/2-1/20+1/30+1/3+1/2+1/21+1/4-1/56+1/4-1/72+1/5+1/90<...

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1+1/4+9/20+11/30+23/42+15/56+17/72+19/90
=1+1/4+(1/2-1/20)+(1/30+1/3)+(1/2+1/21)(16/56-1/56)+(18/72-1/72)+(18/90+1/90)
=1+1/4+1/2-1/20+1/30+1/3+1/2+1/21+1/4-1/56+1/4-1/72+1/5+1/90
=1+(1/4+1/4)+(1/2+1/2)+(1/5+1/4-1/20)+(1/3+1/21)+(1/30+1/90)+(-1/56-1/72)
=1+3+2/5+2/45+8/21-2/63
=4+(1/21-2/63)+(2/5+2/45)
=4+ 1/63+4/9
=4+29/63

你的题打错了,应是20分之9,望采纳

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