如图,菱形ABCD的对角线相交于点O,AC=6 cm,BD=8 cm,则高AE为_______ cm.
![](https://img.xkw.com/dksih/QBM/2018/6/11/1965198994235392/1965893965111297/STEM/c0b1d9cecc624c6991e6d625735b8e20.png?resizew=150)
更新时间:2016-12-06 02:09:45
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【知识点】 根据菱形的性质与判定求线段长
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【推荐1】如图,在四边形
中,
,
,且
顺次连接四边形
各边的中点,得到四边形
,再顺次连接四边形
各边中点,得到四边形
…如此进行下去,得到四边形
,下列结论正确的有__________ .
①四边形
是矩形;②四边形
是菱形;③四边形
的周长是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3d296e0d7154a170cb7d3ae42989b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc490fd9c850622aa2beaf5d38d46459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bf350a619ef25d8d9b988f3db804e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36134f01da0f13b340e82e8835324f25.png)
①四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bf350a619ef25d8d9b988f3db804e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941e96b41fa7eb82df5892eca05fb9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3dcb883b7a4193511b86fea27ae55c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88c11623f90193663f879923022583d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/b8bfa2c5-de11-4a9d-8441-ff8663f0dba3.png?resizew=246)
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【推荐2】已知:如图,在△ABC中,∠ACB=60°,AC=3,BC=5,分别以AB,AC为边向外侧作等边三角形ABM和等边三角形ACN,连接MN,D,E,F,G分别是MB,BC,CN,MN的中点,则四边形DEFG的周长为______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/5/bc0e628f-e16c-48e5-aeec-ab8a24c7d5db.png?resizew=209)
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