a、b表示两个正有理数,且a

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a、b表示两个正有理数,且a
a、b表示两个正有理数,且a

a、b表示两个正有理数,且a

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+……+|1/10-1/9|.
=1/2-1/3+1/3-1/4+1/4-1/5……+1/9-1/10
=1/2-1/10
=2/5

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+……+|1/10-1/9|
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/9-1/10)
=1/2-1/3+1/3-1/4+1/4-1/5+......+1/9-1/10
=1/2-1/10
=2/5

原式=(1/2-1/3)+(1/3-1/4)+......+(1/10-1/9)
=1/2+(-1/3+1/3)+(-1/4+1/4)+......+(-1/8+1/8)+1/10-1/9
=1/2+1/10-1/9
=2/5

=-1/3+1/2-1/4+1/3-1/5+1/4……-1/10+1/9
=1/2-1/10
=2/5

解 原式=(1/2-1/3)+(1/3-1/4)+......+(1/10-1/9)
=1/2+(-1/3+1/3)+(-1/4+1/4)+......+(-1/8+1/8)+1/10-1/9
=1/2+1/10-1/9
=2/5
我也做过这道题,分给我吧!


原式=(1/2-1/3)+(1/3-1/4)+......+(1/10-1/9)
=1/2+(-1/3+1/3)+(-1/4+1/4)+......+(-1/8+1/8)+1/10-1/9
=1/2+1/10-1/9
=2/5

LZ,这都要30分?
你也太懒了吧!
以下全部的最后结果都对!
那你把分给谁?这才是大问题!