如图,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc5f35b324417b5701f076c9040ff8.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927bcb9e376890f82683d60f288e8152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc5f35b324417b5701f076c9040ff8.png)
![](https://img.xkw.com/dksih/QBM/2021/10/3/2821503914926080/2821590495461376/STEM/5e4e054b-08f2-4379-80f3-664da324c322.png?resizew=182)
更新时间:2021-10-03 21:23:28
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【知识点】 三角形中位线与三角形面积问题解读
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【推荐1】如图,在
中,中线
、
相交于点O,连接
,下列结论:①
;②
;③
;④
;其中正确的个数有____________ (写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82ce0700649b66a6fd9336b6814f755.png)
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![](https://img.xkw.com/dksih/QBM/2022/11/8/3105368059428864/3122937926270976/STEM/e9f8a70aa16448b68cf4150cef0cd0d2.png?resizew=139)
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【推荐2】如图,顺次连结△ABC三边的中点D,E,F得到的三角形面积为S1,顺次连结
三边的中点M,G,H得到的三角形面积为S2,顺次连结
三边的中点得到的三角形面积为S3,设
的面积为64,则S1+S2+S3=_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff39c7aa648afd1080206c8080ff79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bde5e96c203f387b2004b4abf5f839f.png)
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