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如图,在Rt△ABC中,AB=3,BC=4,∠ABC=90°,过B作BA1⊥AC...
如图,在Rt△ABC中,AB=3,BC=4,∠ABC=90°,过B作BA
1⊥AC,过A
1作A
1B
1⊥BC,得阴影Rt△A
1B
1B;再过B
1作B
1A
2⊥AC,过A
2作A
2B
2⊥BC,得阴影Rt△A
2B
2B
1;…如此下去,请猜测这样得到的所有阴影三角形的面积之和为( )
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131021230527557486328/SYS201310212305275574863004_ST/images0.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131021230527557486328/SYS201310212305275574863004_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131021230527557486328/SYS201310212305275574863004_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131021230527557486328/SYS201310212305275574863004_ST/2.png)
D.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131021230527557486328/SYS201310212305275574863004_ST/3.png)
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