如果有理数a,b满足丨ab-2丨+(1-b)^2=0 试求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2004)(b+2004)的值?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 13:24:52
如果有理数a,b满足丨ab-2丨+(1-b)^2=0 试求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2004)(b+2004)的值?

如果有理数a,b满足丨ab-2丨+(1-b)^2=0 试求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2004)(b+2004)的值?
如果有理数a,b满足丨ab-2丨+(1-b)^2=0 试求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2004)(b+2004)的值?

如果有理数a,b满足丨ab-2丨+(1-b)^2=0 试求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2004)(b+2004)的值?
首先可以看出:|ab-2|=-(1-b)^2
很明显-> b=1;a=2:
然后带入运算:->
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2) +……+1/(a+2004)(b+2004)
=1/2+1/(3*2) + 1/(3*4) + 1/(4*5) + .
+1/(2005*2006)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.
+(1/2005-1/2006)
注释:(化简后可各项相销)
=1-1/2006
=2005/2006
这便是最终结果了.

如果有理数a、b满足|ab-2|+(1-b)的平方=0不懂, 如果有理数a,b满足|ab-2|+(1-b)的二次方=0 如果有理数a,b满足丨ab-2丨加丨1-b丨=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2010)(b+2010)的 如果有理数a,b满足丨ab-2丨加丨1-b丨=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2011)(b+2012)的值 如果有理数a,b满足丨ab-2丨加丨1-b丨=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2011)(b+2011)的值 如果有理数a,b满足|ab-2|+(1-b)的平方=0,试求a,b的值? 如果有理数ab满足|ab-2|+|1-b|=0求:1/ab+1/(a+1)(b+1)+……+1/(a+2008)(b)+2008 如果有理数a,b满足|ab﹣2|+|1-b|=0 求1/ab+1/(a+1)(b+1).1/(a+2003)(b+2003) 如果有理数a和 b满足条件丨ab丨=ab,那么ab的结果是a.正数 b.非负数 c.非正数 d.负数 已知有理数a、b满足ab不等于0,试求丨a丨/a+丨b丨/b 如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.(a+2003)(b+2003)/1 的值.注: 如果有理数a,b满足a+b 若有理数a,b满足丨3a+1丨+(2b-1)^2=0,求式子3a^2 - 2b^2/ab的值 已知一有理数ab满足丨a-3丨+丨b+2丨=0,求a+b的相反数 有理数的问题.如果有理数a,b满足|ab-2|+|1-b|=0试求 ab分之一+(a+2)(b+2)分之一+……+(a+2003)(b+2003)分之一的值. 已知ab是有理数,满足(a-1)+丨ab-2丨=0,...已知ab是有理数,且满足丨a-1丨+丨ab-2丨=0,求ab分之1+ (a+1)(b+1)分之1+(a+2)(b+2)分之1+····+(a+2012)(b+2012)分之1的值. 如果有理数a,b满足 |ab-2|+(1-b)^2=0,如果有理数a,b满足 |ab-2|+(1-b)^2=0,试求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+.+1/(a+2007)(b+2007)的值.此题有规律可循吗? 如果有理数a,b满足ab-2的绝对值+(1+b²)=0,试求-a+3B的值