已知
是
的平分线,
在
内,且
,
.
(1)根据条件画出图形;
(2)计算出
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63584cd8dd2907e2cb2dee351c8f4d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356ef6ab67c885644769d5226d0f9e14.png)
(1)根据条件画出图形;
(2)计算出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588abe296d53dbbce91d0c693322bf8c.png)
更新时间:2023-01-19 13:17:19
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【推荐1】如图,点O在直线
上,已知
,且射线
平分
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de7c1101bdf2c5c223240d26b977999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7307ac7510cf35f74337d368b94da4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137e86830f8395decf32419413295fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e7b8a59f8d66176463f3d71f882a26.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/9/935d55e5-1928-45db-be3c-26ade1ca2596.png?resizew=170)
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【推荐2】如图所示,为直线
上一点,
,
平分
,
.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7307ac7510cf35f74337d368b94da4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f55c6ac896ab4277fae2230a6e10b0.png)
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【推荐1】如图,直线
、
、
相交于点O,
,
平分
,
.
![](https://img.xkw.com/dksih/QBM/2020/12/14/2614036594180096/2619060195459072/STEM/764aaceb-da87-4a29-938c-8683d1e9f924.png?resizew=217)
(1)求
的度数;
(2)
平分
吗?请说明理由.
![](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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316c97c5b6f7c0fbdf7b9e4b9fccb661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307bd991211ec79b47a4be52933bb8e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843adec8fba1741ccb81a9017cfb815f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83940bc74f07a71ce38af3d3c0f79df8.png)
![](https://img.xkw.com/dksih/QBM/2020/12/14/2614036594180096/2619060195459072/STEM/764aaceb-da87-4a29-938c-8683d1e9f924.png?resizew=217)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fd374f0ef37bd8fad834961f7fdd8a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fb60036876b3c5aa09bb9570e57328b.png)
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【推荐2】 如图,已知AD⊥BC于D,BG⊥BC于G,AE=AF,说明AD平分∠BAC,下面是小颖的解答过程,请补充完整.
![](https://img.xkw.com/dksih/QBM/2014/9/5/1573749105917952/1573749111398400/STEM/ec43a4f1c1014a66b5b617059ca522d6.png)
解:∵AD⊥BC,BG⊥BC(已知)
∴∠4=∠5=90°(垂直定义)
∴__________∥____________( )
∴∠2=_______________( )
∠1=_____________( )
又∵AE=AF(已知)
∴∠3=_____________( )
∴∠1=∠2(等量代换)
∴AD平分∠BAC(角平分线定义)
![](https://img.xkw.com/dksih/QBM/2014/9/5/1573749105917952/1573749111398400/STEM/ec43a4f1c1014a66b5b617059ca522d6.png)
解:∵AD⊥BC,BG⊥BC(已知)
∴∠4=∠5=90°(垂直定义)
∴__________∥____________( )
∴∠2=_______________( )
∠1=_____________( )
又∵AE=AF(已知)
∴∠3=_____________( )
∴∠1=∠2(等量代换)
∴AD平分∠BAC(角平分线定义)
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