题目内容
(2006•临安市)已知:2+![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/0.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/1.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/2.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/3.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/4.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/5.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/6.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/7.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/8.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_ST/9.png)
【答案】分析:要求a+b的值,首先应该认真仔细地观察题目给出的4个等式,找到它们的规律,即
中,b=n+1,a=(n+1)2-1.
解答:解:根据题中材料可知
=
,
∵10+
=102×![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_DA/4.png)
∴b=10,a=99
a+b=109.
点评:解题关键是要读懂题目的意思,根据题目给出的条件,找出式子的规律.
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_DA/0.png)
解答:解:根据题中材料可知
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_DA/1.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_DA/2.png)
∵10+
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_DA/3.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131019110013841122327/SYS201310191100138411223011_DA/4.png)
∴b=10,a=99
a+b=109.
点评:解题关键是要读懂题目的意思,根据题目给出的条件,找出式子的规律.
![](http://thumb.zyjl.cn/images/loading.gif)
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