已知:如图,在
中,
,D为
的中点,
,
,垂足分别为E,F,且
.求证:
(1)
(2)
是等边三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d276d0010fd458383ea3dd61415e1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7faabc484ce3666706c1beffda4bcfe2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/003782c7-c004-4cb0-b51b-467ccb096272.png?resizew=119)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4354365ca0929f8a606ed0bf341e4ca.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
更新时间:2023-12-11 12:07:21
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解答题-证明题
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【推荐1】如图所示,AD是∠BAC的平分线,DE⊥AB,DF⊥AC,垂足分别为E,F,连接EF,EF与AD交于点G,求证:AD垂直平分EF.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/40b0b7bd-4092-4c6c-a089-3a7b1ca981d2.png?resizew=162)
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【推荐2】如图,在
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,
平分
,
于点E,点F在
上,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
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解答题-作图题
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【推荐1】如图,
中,D是
边上的一点,连接
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/8d03cb2c-c154-4e27-82c7-82be509ac930.png?resizew=166)
(1)利用尺规作图,作
的角平分线
.(不写作法,保留作图痕迹)
(2)判断
与
的位置关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd95dc30c0344788b94289c464a3158e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/8d03cb2c-c154-4e27-82c7-82be509ac930.png?resizew=166)
(1)利用尺规作图,作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a9ec45721f7b4d1c99917ac0d970f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a679040c4d556723e482bacbab41356d.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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解答题-证明题
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【推荐2】如图,点D在BC上,AC、DE交于点F,AB=AD,AC=AE,∠BAD=∠CAE.
(1)求证:∠C=∠E;
(2)若∠BAD=20°,求∠CDF的度数.
(1)求证:∠C=∠E;
(2)若∠BAD=20°,求∠CDF的度数.
![](https://img.xkw.com/dksih/QBM/2020/9/1/2540159685517312/2547384386412544/STEM/76194f666b194b1dbbc716b0ed0861ad.png?resizew=135)
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解答题-证明题
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【推荐1】如图,已知△ABC、△ADE均为等边三角形,点D是BC延长线上一点,连结CE,求证:BD=CE
![](https://img.xkw.com/dksih/QBM/2014/2/12/1573704756805632/1573704763154432/STEM/692205339b2046c9b8193a1c6980d48f.png)
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解答题
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【推荐2】如图,在△ABC中,∠ACB=90°,∠A=30°,AB的垂直平分线分别交AB和AC于点D,E,连接CD.
![](https://img.xkw.com/dksih/QBM/2023/11/23/3374244730060800/3374974828216320/STEM/060b1a9ea6c84e48a8593e669385859e.png?resizew=108)
(1)求证:△BCD是等边三角形;
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![](https://img.xkw.com/dksih/QBM/2023/11/23/3374244730060800/3374974828216320/STEM/060b1a9ea6c84e48a8593e669385859e.png?resizew=108)
(1)求证:△BCD是等边三角形;
(2)若AE=2,求CE的长.
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