作业帮1.|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2009-1/2008|=
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/11/08 17:37:31
1.|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2009-1/2008|=
2.求满足|ab|+|a+b|=1的所有整数对(a,b).
2.求满足|ab|+|a+b|=1的所有整数对(a,b).
1.|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2009-1/2008|=
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+(1/2007-1/2008)+(1/2008-1/2009)
=1/2-1/2009
=2007/4018
2.求满足|ab|+|a+b|=1的所有整数对(a,b).
|ab|+|a+b|=1
a,b为整数,所以
|ab|=0,|a+b|=1
或|ab|=1,|a+b|=0
所以
满足|ab|+|a+b|=1的所有整数对(a,b)为
(1,0),(-1,0)(0,1)(0,-1)(1,-1)(-1,1)
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+(1/2007-1/2008)+(1/2008-1/2009)
=1/2-1/2009
=2007/4018
2.求满足|ab|+|a+b|=1的所有整数对(a,b).
|ab|+|a+b|=1
a,b为整数,所以
|ab|=0,|a+b|=1
或|ab|=1,|a+b|=0
所以
满足|ab|+|a+b|=1的所有整数对(a,b)为
(1,0),(-1,0)(0,1)(0,-1)(1,-1)(-1,1)
1.|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2009-1/2008|=
计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2009-1/2008|
1/1*2+1/2*3+1/3*4+1/4*5.+1/2007*2008+1/2008*2009=?
（-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1
｜1/2-1｜+｜1/3-1/2｜+1/4-1/3｜+...｜1/2009-1/2008｜+｜1/2010-1/2009
1/1*2+1/3*4+1/4*5+.+1/2008*2009
1+(1/2-1)+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+…+(1/2009-1/2008)+(1
初一数学题计算(-1*1/2)+(-1/2*1/3)=(-1/3*1/4)+...+(1/2008*1/2009)
1-1/1*2-1/2*3-1/3*4-1/4*5……-1/2008*2009的值
1/(2*3)+1/(3*4)+1/(4*5)+.+1/(2008*2009)如何简算
计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|+|1/2009-1
(1-1/2)(1/3-1)(1-1/4)(1/5-1)``````(1/2009)(11/2010)