如图,在
中,
,
,AD是
的角平分线,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099026716ee1821dd7d9f157dc055f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c251ed1472ba56f13a80abbfeb06c1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/69d01d56-ddac-4793-a037-b2bdb104733a.jpg?resizew=115)
更新时间:2024-04-01 19:30:00
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【推荐1】如图,在△ABC中,D是BC的中点,DE⊥AB于E,DF⊥AC于点F,且BE=CF,求证AD⊥BC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/9/4f4b1d45-673f-4d9d-9a9c-39a99dbfeea7.png?resizew=140)
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【推荐2】如图,
中,
,F为
延长线上一点,点E在
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/5de079d9-5408-47ee-9ccc-1fc1af875a6c.png?resizew=169)
(1)求证:
;
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc823721f57dd2656b614d5b9701839d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/5de079d9-5408-47ee-9ccc-1fc1af875a6c.png?resizew=169)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536e7497430006deded283292c9e0562.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566819002397e3ca55150fb83e96e6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752fa646a2d9cfca34001748445301c9.png)
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名校
【推荐1】如图,四边形
中,
,点E为
的中点,且
平分
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/13/d740a17a-79f9-4551-9138-cc72dfa51931.png?resizew=134)
(1)求证:
平分
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d8397018b0a01a1b4e9574604f9e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/13/d740a17a-79f9-4551-9138-cc72dfa51931.png?resizew=134)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6feb71636e2e0482de54134eadad0ec8.png)
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【推荐2】如图,在△ABC中,D是BC的中点,DE⊥AB于E,DF⊥AC于F,BE=CF.
![](https://img.xkw.com/dksih/QBM/2019/12/13/2354070126305280/2355770122698752/STEM/bbad95a5bc704137b06b3363562404e0.png?resizew=123)
(1)∠B=70°,求∠CAD的大小;
(2)连接EF,求证:AD垂直平分EF.
![](https://img.xkw.com/dksih/QBM/2019/12/13/2354070126305280/2355770122698752/STEM/bbad95a5bc704137b06b3363562404e0.png?resizew=123)
(1)∠B=70°,求∠CAD的大小;
(2)连接EF,求证:AD垂直平分EF.
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【推荐1】如图,一艘轮船位于灯塔
的正西方向
处,且
处与灯塔
相距50海里,轮船沿东北方向匀速航行,到达位于灯塔
的北偏东
方向上的
处.
(1)求
的度数;
(2)求灯塔
到
处的距离.(结果保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c12e76fbd84eeec721386bd3b04cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/19/9477b607-7107-4356-b7cb-a6c15cadaf9d.png?resizew=169)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
(2)求灯塔
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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【推荐2】已知,如图,在
中,
,
平分
,交
于点
,求证:点
在
的垂直平分线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d00f4651b343dd8f9060c6460f0c955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/19/39fe6ad5-3dba-4811-b284-3ca95c8feeeb.png?resizew=252)
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