如图所示,在不等边
中,
,
,AB的垂直平分线交BC边于点E,AC的垂直平分线交BC边于点N.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/15/1dc1dd15-80b6-4da7-9964-06eb92d25ddb.png?resizew=247)
(1)若BC边长为整数,则
的周长为_________.
(2)①若
,则
的度数为_________.
②若
,则
的度数为_________.
③若
,请直接写出
与
之间的数量关系,并画出相应的图形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/15/1dc1dd15-80b6-4da7-9964-06eb92d25ddb.png?resizew=247)
(1)若BC边长为整数,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654a3aacb8539b4996023caf5b55c85e.png)
(2)①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9693da3141d4af5e8deb0fd17dd5aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd151c4fccf42e84b0bfa07b12227b3.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b3ccbed8aa44da96fbf16bb9978b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd151c4fccf42e84b0bfa07b12227b3.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5306ee783ec381da6c03d4fb7ecb4395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd151c4fccf42e84b0bfa07b12227b3.png)
更新时间:2020-02-25 07:40:26
|
【知识点】 线段垂直平分线的性质解读
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解答题-证明题
|
适中
(0.65)
名校
【推荐1】如图,在四边形ABCD中,AD
BC,对角线AC、BD交于点O,且AO=OC,过点O作EF⊥BD,交AD于点E,交BC于点F.
(2)连接BE,若∠BAD=100°,∠DBF=2∠ABE,求∠ABE的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
(2)连接BE,若∠BAD=100°,∠DBF=2∠ABE,求∠ABE的度数.
您最近一年使用:0次
解答题-作图题
|
适中
(0.65)
【推荐2】如图,已知△ABC.
![](https://img.xkw.com/dksih/QBM/2022/1/15/2894746757103616/2896364532293632/STEM/ca75f28b-28af-4411-b0d5-a1d688b22838.png?resizew=263)
(1)请用尺规在图中补充完整以下作图,保留作图痕迹:
作∠ACB的角平分线,交AB于点D;作线段CD的垂直平分线,分别交AC于点E,交BC于点F;连接DE,DF;
(2)求证:四边形CEDF是菱形.
![](https://img.xkw.com/dksih/QBM/2022/1/15/2894746757103616/2896364532293632/STEM/ca75f28b-28af-4411-b0d5-a1d688b22838.png?resizew=263)
(1)请用尺规在图中补充完整以下作图,保留作图痕迹:
作∠ACB的角平分线,交AB于点D;作线段CD的垂直平分线,分别交AC于点E,交BC于点F;连接DE,DF;
(2)求证:四边形CEDF是菱形.
您最近一年使用:0次