已知:字母a、b满足√(a-1)+√(b-2)=0求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2008)(b+2008)的值?{@}{@} * {@}{@} * {@} * {@}{@}* {@} * {@} * {@}\ {@} * {@} * {@} /\ \ \ l / / /\\ \ Y / //\\ l //\\Y// >=< //*\\

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/11 13:47:04
已知:字母a、b满足√(a-1)+√(b-2)=0求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2008)(b+2008)的值?{@}{@} * {@}{@} * {@} * {@}{@}* {@} * {@} * {@}\ {@} * {@} * {@} /\ \ \ l / / /\\ \ Y / //\\ l //\\Y// >=< //*\\

已知:字母a、b满足√(a-1)+√(b-2)=0求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2008)(b+2008)的值?{@}{@} * {@}{@} * {@} * {@}{@}* {@} * {@} * {@}\ {@} * {@} * {@} /\ \ \ l / / /\\ \ Y / //\\ l //\\Y// >=< //*\\
已知:字母a、b满足√(a-1)+√(b-2)=0
求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2008)(b+2008)的值?
{@}
{@} * {@}
{@} * {@} * {@}
{@}* {@} * {@} * {@}
\ {@} * {@} * {@} /
\ \ \ l / / /
\\ \ Y / //
\\ l //
\\Y//
>=<
//*\\

已知:字母a、b满足√(a-1)+√(b-2)=0求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2008)(b+2008)的值?{@}{@} * {@}{@} * {@} * {@}{@}* {@} * {@} * {@}\ {@} * {@} * {@} /\ \ \ l / / /\\ \ Y / //\\ l //\\Y// >=< //*\\
√(a-1)+√(b-2)=0
所以a-1=0 b-2=0
a=1 b=2
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2008)(b+2008)
=1/1*2+1/2*3+.1/2009*2010
=1-1/2+1/2-1/3+.1/2009-1/2010
=1-1/2010=2009/2010