如图,
,
,
,求证:
是等边三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b4908b37cf23de34d38ae7a0bff278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f11e9afb1c3b15f364f2c95ca3a41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9685ab781f942a3e28b2f39778515185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
更新时间:2023-11-02 14:08:12
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解答题-证明题
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【推荐1】已知:如图,点B,E,C,F在同一直线上,
,且
,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd81adb13f5a7550b0f94f770900a613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a510a3eb906b3ef0760b0d1723d11ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61f3477e623aa4f924a82bd7a06ce4.png)
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解答题-证明题
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【推荐2】完成下面的证明.
如图,已知△ABC
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/2/f5cde065-5213-4969-bdad-b3b432af4a0b.png?resizew=146)
求证:∠A+∠B+∠C=180°
证明:延长BC到D,作CE∥AB
∵CE∥AB
∴∠A= ( )
∠B= ( )
∵∠ACB+∠1+∠2=180°(平角的定义)
∴ ∠A+∠B+∠ACB=180°( )
如图,已知△ABC
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/2/f5cde065-5213-4969-bdad-b3b432af4a0b.png?resizew=146)
求证:∠A+∠B+∠C=180°
证明:延长BC到D,作CE∥AB
∵CE∥AB
∴∠A= ( )
∠B= ( )
∵∠ACB+∠1+∠2=180°(平角的定义)
∴ ∠A+∠B+∠ACB=180°( )
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【推荐1】如图,已知
为
的边
延长线上一点,
于点
,且交
于点
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa30a9ee227af2b387cf6e028c20d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3414686825eb3b8f058bdb8b4bdf026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
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【推荐2】如图,点
,
,
,在一条直线上,
与
相交于点
,其中
,
,
.
;
(2)若
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61f3477e623aa4f924a82bd7a06ce4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d53c82934dd013b37e71f56fe0dbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f06687d29d5168896285ffd29670fb2.png)
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【推荐1】如图,已知
是等边三角形,点B是边AD上一点,连接EB,将
绕点E顺时针旋转
,点D与点A重合,得到
,求证:
是等边三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321370fe42bc1216902ea19fbd2a5979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80651f797ab9dccfd7163c605b091ad5.png)
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![](https://img.xkw.com/dksih/QBM/2021/9/9/2804605524770816/2805131166179328/STEM/81bf7592-f619-40ed-ab56-ed69a20866fd.png)
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