如图,点C是线段AB的黄金分割点(AC>BC),下列结论错误的是
![](https://img.xkw.com/dksih/QBM/2013/7/22/1573669805678592/1573669811593216/STEM/c1267cfec13c43408171043af3618631.png)
![](https://img.xkw.com/dksih/QBM/2013/7/22/1573669805678592/1573669811593216/STEM/c1267cfec13c43408171043af3618631.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
更新时间:2016-12-05 18:22:20
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【知识点】 黄金分割
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【推荐1】生活中到处可见黄金分割的美.如图,点C将线段AB分成AC、CB两部分,且
,如果
,那么称点C为线段AB的黄金分割点.若C是线段AB的黄金分割点,
,则分割后较短线段长为( )
![](https://img.xkw.com/dksih/QBM/2023/2/2/3166210969427968/3166889285943296/STEM/8c38e473cac44f5b9be2024e4fe674d7.png?resizew=173)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e95be88bc79b3c7e72d349c4cb3c88d.png)
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![](https://img.xkw.com/dksih/QBM/2023/2/2/3166210969427968/3166889285943296/STEM/8c38e473cac44f5b9be2024e4fe674d7.png?resizew=173)
A.![]() | B.![]() | C.![]() | D.![]() |
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单选题
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【推荐2】如图,点
是线段
的黄金分割点,即
,若
表示以
为一边的正方形的面积,
表示长为
,宽为
的矩形的面积,则
与
的大小关系是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/991752ba-df18-4f9f-90d3-aca4cb72eca8.png?resizew=112)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2dee4fe5fa66128ba27f0b83da5663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/991752ba-df18-4f9f-90d3-aca4cb72eca8.png?resizew=112)
A.![]() | B.![]() | C.![]() | D.![]() |
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