1 . 如图(1),在
和
中,∠
∠
,
,
,点E在
内部,
之间存在怎样的数量关系?问题探究:
(1)先将问题特殊化如图(2),当点D,F重合时,直接写出一个等式,表示AF,BF,CF之间的数量关系;
(2)再探究一般情形如图(1),当点D,F不重合时(1)中的结论仍然成立.
(3)如图(3),在
和
中,∠
∠
,
,
(k是常数),点E在
内部,直接写出一个等式,表示线段AF,BF,CF之间的数量关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2689f0ce5ab3467d8214794d8acb2bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cfc1ef64a936ca570899d2f9d3ed0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e99ba4000c308df0b0b9d9c95af7750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ca0f2b2b40440365fcce22ac32c0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ec8abe5af19094282bf63a98fde427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f92d3a98b016927de4bbb9b9564894f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/29/c9b7ded6-a8c4-445f-a0f0-8f4d74fd36ef.png?resizew=191)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/29/e2eb6686-889d-490d-903f-616d1514fb68.png?resizew=194)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/29/d707c321-bd78-4b6b-ad13-3d24b3636524.png?resizew=215)
(1)先将问题特殊化如图(2),当点D,F重合时,直接写出一个等式,表示AF,BF,CF之间的数量关系;
(2)再探究一般情形如图(1),当点D,F不重合时(1)中的结论仍然成立.
(3)如图(3),在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2689f0ce5ab3467d8214794d8acb2bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cfc1ef64a936ca570899d2f9d3ed0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e99ba4000c308df0b0b9d9c95af7750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54700d4ece8fa8e39ea49e658c9b1de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3b0568855a132ae04f1c199db7494f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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