阅读下列内容: .请完成下面的问题:如果有理数a,b满足|ab-2|+(1-b) 2 =0.试求 +…+ 的值.
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.请完成下面的问题:如果有理数a,b满足|ab-2|+(1-b) 2 =0.试求
+…+
的值.
∵|ab﹣2|+(1﹣b) 2 =0,
∴ab﹣2=0,1﹣b=0,
解得:a=2,b=1,
∴原式=
+
+…+
=1﹣
+
﹣
+…+
﹣
=1﹣
=
.
![](http://img.wesiedu.com/upload/f/d2/fd28ffb1864bd0b734f28892d34d16e3.jpg)
![](http://img.wesiedu.com/upload/2/27/227600ad65dd7921ccf5e7c595538f87.jpg)
![](http://img.wesiedu.com/upload/f/e6/fe6eb78669c70def8eaf82be44b6e0c3.jpg)
∵|ab﹣2|+(1﹣b) 2 =0,
∴ab﹣2=0,1﹣b=0,
解得:a=2,b=1,
∴原式=
![](http://img.wesiedu.com/upload/7/81/78165a6bd1d8879da1b7596c1679343c.jpg)
![](http://img.wesiedu.com/upload/a/02/a028fba53b49f9edfc89cb05e6af200c.jpg)
![](http://img.wesiedu.com/upload/0/8e/08ef754f9c89415d6fac030d1c8b8bd3.jpg)
=1﹣
![](http://img.wesiedu.com/upload/8/1e/81e1a45de53d483777b451cb001333e6.jpg)
![](http://img.wesiedu.com/upload/d/b0/db0cabdd2430a8745f0354bd8264a088.jpg)
![](http://img.wesiedu.com/upload/7/ba/7ba4672cbccda9258895d3f818813953.jpg)
![](http://img.wesiedu.com/upload/9/cc/9cc7d5d6e40c606836800c5ac202e190.jpg)
![](http://img.wesiedu.com/upload/2/f6/2f60c1ee96b18440b0b54e7999104c25.jpg)
=1﹣
![](http://img.wesiedu.com/upload/4/70/4709cc0498920555d65b9bf593cc9b2c.jpg)
=
![](http://img.wesiedu.com/upload/c/44/c443080903a8409f6ff43f496693374b.jpg)
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