数学有理数习题如果有理数a,b满足|ab-2|+(1—b)(1—b)=0,试求1/ab+ 1/(a+1)(b+1) +
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/07/20 14:32:55
数学有理数习题
如果有理数a,b满足|ab-2|+(1—b)(1—b)=0,试求1/ab+ 1/(a+1)(b+1) + 1/(a+2)(b+2)+.+1/(a+2007)(b+2007)的值
如果有理数a,b满足|ab-2|+(1—b)(1—b)=0,试求1/ab+ 1/(a+1)(b+1) + 1/(a+2)(b+2)+.+1/(a+2007)(b+2007)的值
![数学有理数习题如果有理数a,b满足|ab-2|+(1—b)(1—b)=0,试求1/ab+ 1/(a+1)(b+1) +](/uploads/image/z/11560957-61-7.jpg?t=%E6%95%B0%E5%AD%A6%E6%9C%89%E7%90%86%E6%95%B0%E4%B9%A0%E9%A2%98%E5%A6%82%E6%9E%9C%E6%9C%89%E7%90%86%E6%95%B0a%2Cb%E6%BB%A1%E8%B6%B3%7Cab-2%7C%2B%EF%BC%881%E2%80%94b%29%EF%BC%881%E2%80%94b%EF%BC%89%3D0%2C%E8%AF%95%E6%B1%821%2Fab%2B+1%2F%28a%2B1%EF%BC%89%EF%BC%88b%2B1%EF%BC%89+%2B)
|ab-2|+(1-b)(1-b)=0 => |ab-2|=0 ,(1-b)=0
解得b=1,a=2
原式=1/(1*2) + 1/(2*3) + 1/(3*4)+ ...+ 1/(2008*2009)
=(1-1/2) + (1/2-1/3) + (1/3-1/4) +...+(1/2008-1/2009)
=1-1/2009 (中间项消去)
=2008/2009
解得b=1,a=2
原式=1/(1*2) + 1/(2*3) + 1/(3*4)+ ...+ 1/(2008*2009)
=(1-1/2) + (1/2-1/3) + (1/3-1/4) +...+(1/2008-1/2009)
=1-1/2009 (中间项消去)
=2008/2009
数学有理数习题如果有理数a,b满足|ab-2|+(1—b)(1—b)=0,试求1/ab+ 1/(a+1)(b+1) +
如果有理数a和b满足|ab-2|+|1-b|=0,试求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..
如果有理数a,b满足|ab-2|+(1-b)的平方=0,试求:ab分之1+(a+1)(b+2)分之1+.+(a+2007
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+2007)
如果有理数a,b满足|ab-2|+(1-b)平方
如果有理数a、b满足|ab-2|+|1-b|=0,试求1/ab+1/(a+1)(a+1)+1/(a+2)(a +2)+.
如果有理数a,b满足|ab-2|+(1-b)的2次方=0 试求1/ab+1/(a+a)(b+1)+1(a+2)(b+2)
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)…
如果有理数a,b满足|ab-2|+|1-b|=0,试求1 /ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.
如果有理数啊,a,b满足|ab-2|+(1-b)的二次方=0,试求1/ab+1/(a+1)(b+1)+1/(a+2)(b
若有理数a b 满足|a-1|+(b-3)^2=0,试求 1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)…
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