作业帮1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)…………1/(a+2009)(a+2010)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/16 22:57:26
1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)…………1/(a+2009)(a+2010)
1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)…………1/(a+2009)(a+2010)
1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)…………1/(a+2009)(a+2010)
1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)…………1/(a+2009)(a+2010)
=1/a-1/(a+1)+1/(a+1)-1/(a+2)+1/(a+2)-1/(a+3)…………1/(a+2009)-1/(a+2010)
中间正负抵消
=1/a-1/(a+2010)
=2010/(a²+2010a)
裂项求和....
原式：=[1/a]-[1/a+1]+[1/a+1]-[1/a+2].....+[1/a+2009]-[1/a+2010]
=[1/a]-[1/a+2010]
=2010/[a(a+2010)]
[1/a(a+1)]+[1/(a+1)(a+2)]+[1/(a+2)(a+3)]......+[1/(a+2009)(a+2010)]
=1/a-1/(a+1)+1/(a+1)-1/(a+2)+1/(a+2)-1/(a+3)+......+1/(a+2009)-1/(a+2010)
=1/a-1/(a+2010)
=2010/[a(a+2010)]
(a 1)(a 2)(a 3)(a
(a+2)(a+1)-a(a-3)
a-1/a+2
1-a/-2-a
-2×a×1/a
计算：[a-(1/a)]/a^2-2a+1/a
a(a-1)(a-2)(a-3)(a-4)因式分解
【1】a+a=a×a a= [ ]【2】a×a=a÷a a=[ ]【3】a×a=a－a a=[ ] [4]a－a=a＋a a=[ ]
(通分） a/a^a^a+3a+2 ,a/a^a+2a+1 ,-1/3a+6
（a-a/a+1)/(a*a-2a)*(a+1)/(a*a+3a+2)要详细的计算说明！
计算[(a-1)/a*a-4*a+4]-[(a+2)/(a*a-2*a*a)]-4/a
a+a+1+a+2+a+3+a+4+a+5+a+6+a+7.+a+2013+a+2014=?
1、数学判断|a*a*a|大于|-a*-a*-a| ( )
幂的计算题1、a×a^2×a^3×a^4×a^52、a+2a+3a+4a+a×a^2×a^3×a^4
化简:-a+a/a+1
因式分解:a-a-a+1
a*a*a*a+a*a+1/a*a+a+1 化简
1+a+a(1+a)+a(1+a)^2+...+a(1+a)^n