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如图所示,如果以正方形ABCD的对角线AC为边作第二个正方形ACEF,再以AE为...
如图所示,如果以正方形ABCD的对角线AC为边作第二个正方形ACEF,再以AE为边作第三个正方形AEGM,…已知正方形ABCD的面积S
1=1,按上述方法所作的正方形的面积依次为S
2,S
3,…S
n(n为正整数),那么第8个正方形面积S
8=
.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131021230651758694739/SYS201310212306517586947014_ST/images0.png)
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