如图,直线
分别被直线
所截,已知
平分
平分
,将下列说明
的过程及理由填写完整.
理由:∵
(已知)
∴
,( )
∵
平分
平分
,(已知)
∴
,
(角平分线的定义)
∴
(等量代换)
∴
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a62645bd831f1cb6b385f95ea1b7f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c905888c0a83863ab92c9866e9d5e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f865aca2ae5d6f24ff617246bb894c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752fa646a2d9cfca34001748445301c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
理由:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b8e8563a92af81ceb648fb940afd968.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0409933b6e539e9354d0db128f938dc8.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f865aca2ae5d6f24ff617246bb894c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752fa646a2d9cfca34001748445301c9.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665ffcdb7c57534dc184cc840471f2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9957cf92689aa4c88a2f9a903a5c334a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0247394296e9c9b8e4e484d4ad52ef45.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665ffcdb7c57534dc184cc840471f2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32d041058f48c2c3c12b6fda4f7675e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/25/db37db4e-1f61-4ac7-8ef0-5fcefeb9f08c.jpg?resizew=132)
更新时间:2023-08-20 20:16:16
|
【知识点】 根据平行线判定与性质证明
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐1】已知,如图,
平分
,
平分
,且
与
互余,试判断直线
、
的位置关系,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246a86f34603eaf2e6a948681b831b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d16fab0f52c8af5abba0bf19a06ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2021/6/10/2740002401132544/2740308172898304/STEM/9e3122ea-65f0-4eb0-82d0-ec9b3007b2d5.png?resizew=141)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
【推荐2】推理填空:如图,
,
,
,将求
的过程及依据填写完整:
∵
,
∴
____________(________________________),
又∵
,
∴
(____________________________________),
∴
____________(________________________),
∴
____________
(____________________________________),
∵
,
∴
____________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337060ae85b37701aeeab2e75a793298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873b964c1e6fad60a7c195e86030eef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84494e057cb7bc129257c4cb962678ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d74465c34ad7afa5d39d9e300bdf86.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337060ae85b37701aeeab2e75a793298.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873b964c1e6fad60a7c195e86030eef6.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8efa4e9eebe76c572fbac1522085868b.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fdb2b9d6a4a54ed1328c5b3adcf7b6.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8d2059674d0d453dfb3e966e92122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e519cdb0cac3981d8e9610dba507a3.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84494e057cb7bc129257c4cb962678ee.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad37b969c35d38dcdbf02e5d0f39afca.png)
![](https://img.xkw.com/dksih/QBM/2021/7/4/2757200343531520/2797974226132992/STEM/712b9810-885a-4c35-8d8e-ab54be2982cb.png)
您最近一年使用:0次