完成下面的推理.
如图,已知
,
,求
的度数.
解:∵
,(已知)
∴______,(______)
∴
______
______,(______)
又∵
,(已知)
∴
______°.(等量代换)
如图,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200b969066a8c3a77d5e725a3bc68f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/27/a72aae1f-6d06-4e61-9917-4cf54c038ab5.png?resizew=235)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
∴______,(______)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665ffcdb7c57534dc184cc840471f2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f617fa80f09fc245909492f5335ea5c.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200b969066a8c3a77d5e725a3bc68f97.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
更新时间:2023-07-26 10:04:51
|
【知识点】 根据平行线判定与性质求角度解读
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐1】如图,在
中,
,垂足为
,点
在
上,
,垂足为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/18/c9f3c126-1dd7-4783-8c3b-d5132e68cf5a.png?resizew=144)
(1)
与
平行吗?为什么?
(2)如果
,且
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e0cff0876c4183a47f1272cf9928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/18/c9f3c126-1dd7-4783-8c3b-d5132e68cf5a.png?resizew=144)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0240c01ea9f2a1823e5762fb0293d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐2】如图,在三角形
中,点D、F在边
上,点E在边
上,点G在边
上,
,
.若
.求
的度数(请在下面的空格处填写理由或数学式)
解:∵
,(已知)
∴___________
,(___________)
∵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f64c51e9d05472f0f3d132608687be.png)
∴
_____________(____________)
∴
,(_____________)
∴
______________
,(两直线平行,同旁内角互补)
∵______________,(已知).
∴
_______________(等式性质)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa38e1cff9475527c89cfb1064560e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f64c51e9d05472f0f3d132608687be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84494e057cb7bc129257c4cb962678ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d74465c34ad7afa5d39d9e300bdf86.png)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402ab8c49c4dd2aaa0ef47164c7cac00.png)
∴___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183395c935f06941c0c97cdb0b1dcf74.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f64c51e9d05472f0f3d132608687be.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba1c84d423cec47d0edcfe863020ed2.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d54f53c49c2e082a96c2a32c275b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e519cdb0cac3981d8e9610dba507a3.png)
∵______________,(已知).
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad37b969c35d38dcdbf02e5d0f39afca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/24/8820dcc0-8ee5-41ae-ab88-210864af1435.png?resizew=140)
您最近一年使用:0次