试题详情
如图①,△ABC中,P
1、Q
1分别是A
1B
1、A
1C
1上点,P
1Q
1∥B
1C
1 , 且平分△A
1B
1C
1的面积;如图②,P
1Q
1∥P
2Q
2∥B
2C
2 , 且将△A
2B
2C
2面积三等分;如图③,P
1Q
1∥P
2Q
2∥P
3Q
3∥B
3C
3 , 且将△A
3B
3C
3面积四等分,…,如此继续下去,在△A
9B
9C
9中,
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmn%3E9%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EP%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmn%3E9%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EP%3C%2Fmi%3E%3Cmn%3E9%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的值为( )
- A、3+2
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsqrt%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
- B、3﹣2
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsqrt%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
- C、
+3 - D、
﹣3
知识点
参考答案