如图,
中,
和
的平分线交于点F,过点F作
,交
于点E,交
于点D.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/30/bb52340f-13b3-4845-9ac1-fa712dea8991.png?resizew=171)
(1)试确定
、
、
之间的数量关系;
(2)若
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436f108fd4921dae15ecff19270237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/30/bb52340f-13b3-4845-9ac1-fa712dea8991.png?resizew=171)
(1)试确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1267d8f536d357d7e6a44cfa27f1ebe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c771a4feb150ad9cff8d70431c97eb17.png)
更新时间:2022-10-28 21:47:42
|
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解答题-证明题
|
较易
(0.85)
【推荐1】完成推理填空:
如图,已知
.将证明
的过程填写完整
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/f6b5c2da-dbc2-4da1-b1b6-6ef39ba5b030.png?resizew=112)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ab2eecb9278aec6085b3f2a6eb931f.png)
∴
( )
∴
( )
又∵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
∴
( )
∴
( )
如图,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c62b3e11845eeef99ef658d6e18a260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d354155f71a1736c1c9186168695edd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/f6b5c2da-dbc2-4da1-b1b6-6ef39ba5b030.png?resizew=112)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a1bf485152746d548653398d317725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ab2eecb9278aec6085b3f2a6eb931f.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc310194575262fb45352c2fbc19868.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d354155f71a1736c1c9186168695edd.png)
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名校
【推荐2】如图,在平行四边形ABCD中,E为BC的中点,连接AE并延长交DC的延长线于点F,连接BF,
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解答题-问答题
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【推荐1】如图,在
和
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc57626e19e0a3b074bf50b748f101ff.png)
(1)请说明AE=BE的理由;
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/effe4a10-27f5-4b77-8f44-4c43b814a2ac.png?resizew=140)
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【推荐2】如图,AD⊥AB,CB⊥AB,垂足分别为A,B,AC=BD,AC与相交于点E,求证:AE=BE.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/aa49bd1d-ceaf-45e3-94ff-086f5cd56e8d.png?resizew=217)
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解答题-问答题
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【推荐1】如图,
是
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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