请把证明的过程补充完整,并在括号内写上依据.
如图,
,
,
.请把证明
的过程补充完整,并在括号内写上依据.
![](https://img.xkw.com/dksih/QBM/2023/9/15/3325470852194304/3446468720459776/STEM/e0cfc98ca5c44ad9b3c3463c0fce7047.png?resizew=241)
证明:∵
,
∴
( )
∵
,
∴
即∠ =∠ .
∵
,
∴
∴
( ).
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfa223e7b272346649538457c976864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320c7edf2ad8fbc3d917209e0407ab10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93b0d68d7d9076fab770340bf0c8aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://img.xkw.com/dksih/QBM/2023/9/15/3325470852194304/3446468720459776/STEM/e0cfc98ca5c44ad9b3c3463c0fce7047.png?resizew=241)
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfa223e7b272346649538457c976864.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c89d1931d1678fbeb6f5066f99d7c4d.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c529f6622695fd8cdb0f0c212bf4346b.png)
即∠ =∠ .
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bd8869f34219e7fbe5a9b8842667c1.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc9039f5759f8e555262e1f8c03ef3d.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8099c774a6ae6dd98712b0b90b60cf.png)
更新时间:2024-03-05 09:12:04
|
【知识点】 根据平行线判定与性质证明
相似题推荐
解答题-证明题
|
较易
(0.85)
【推荐1】完成下面的证明.
如图:已知
于点D,
,
,求证:
.
证明:∵
(已知),∴
________°(________)
∵
(已知),∴
(________),
又∵
(已知),∴
(等量代换),
∴________(________),
∴
________
________°(两直线平行,同位角相等),
∴
(________)
如图:已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066cd386723885c535ea720f5817847a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85b53a74e2a952b581700c83bbcd25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7699dd30e08702bfc6499eb9c89e54a.png)
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2f817622004910b58c10d0c31e0c45.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066cd386723885c535ea720f5817847a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85b53a74e2a952b581700c83bbcd25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4d67aa2a39c15abaa0cbc09432f1fb.png)
∴________(________),
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022cd4fb458dffb934cd50775593c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7699dd30e08702bfc6499eb9c89e54a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/bae65c94-a03b-485d-a212-0b5e33de00fd.png?resizew=119)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
名校
【推荐2】已知,如图,
,
,求证:
.请完成解答过程.
(已知)
∵
______(______)
又∵
(已知)
∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
______(______)
∴
______(两直线平行,内错角相等)
∴
(等量代换)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef3222a962b0a3b9bb1f4574b41bd79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c226581e14091779321c9fe91160ceef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef3222a962b0a3b9bb1f4574b41bd79.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3805a3f8cc05945f9aea2963009378.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc9039f5759f8e555262e1f8c03ef3d.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c226581e14091779321c9fe91160ceef.png)
您最近一年使用:0次