如图,∠AGB=∠EHF,∠C=∠D.
(1)求证:BD∥CE;
(2)求证:∠A=∠F.
(1)求证:BD∥CE;
(2)求证:∠A=∠F.
![](https://img.xkw.com/dksih/QBM/2021/12/27/2881667418054656/2885158145818624/STEM/b72a49f76add48829a8c4b7bdaf9a603.png?resizew=181)
16-17七年级下·江西抚州·阶段练习 查看更多[12]
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更新时间:2022-01-01 16:52:11
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【推荐1】如图,直线AB、CD被EF、GH所截,∠1+∠2=180°,∠3=75°,求∠4的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/26/f6e6b611-daea-4415-a857-28a5e3bea05f.png?resizew=177)
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【推荐2】已知:如图,直线a、b、c两两相交,且∠1=2∠3,∠2=86°,求∠4的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/4e43c389-69e0-4ef2-a6bb-1dbc1eadbea1.png?resizew=158)
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【推荐1】补全下面的解答过程
如图,
,点E,F在直线
下方,连接
与
交于点G.已知
平分
平分
,
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0f5780358215730bd853aa5d19a89f.png)
证明:∵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
∴
_____(____________)
∵
平分![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d786ee723231d4ca87eb9d011a378b5.png)
∴
_____
又![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f35f8c26cc945a87ecff0f4422b6a.png)
∴
______
∴
(____________)
∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a71ea42b1d43ca4ce246191130b7688.png)
∵
平分
,
∴
,
∴
.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b34059d15e9bd898db06b22760e7171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dd9b026ce19b03aa1aa328497cc060.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34868b311f1082fb003dec7f07cdfd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f35f8c26cc945a87ecff0f4422b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0f5780358215730bd853aa5d19a89f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/11/d93ee480-3189-4084-929a-def212992942.png?resizew=237)
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63605d6fce770e2f05d5efd1cd9c0b49.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d786ee723231d4ca87eb9d011a378b5.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3d238d7b78d751adbd21c570787d89.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f35f8c26cc945a87ecff0f4422b6a.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a038aeb7b80f7c92cad5a5ebda2a00.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550b15375a54ce849585b60bc42d2dd1.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a71ea42b1d43ca4ce246191130b7688.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34868b311f1082fb003dec7f07cdfd2.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7f0044c61624c803501ec3fd34ced9.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0f5780358215730bd853aa5d19a89f.png)
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【推荐2】如图,直线MN分别与直线AC、DG交于点B、F,且∠1=∠2.∠ABF的角平分线BE交直线DG于点E,∠BFG的角平分线FC交直线AC于点C.
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818482832187392/2822335376359424/STEM/a522c218-9733-4f88-af1e-747eb1a45913.png)
(1)请直接写出直线AC与DG的位置关系;
(2)求证:BE//CF;
(3)若∠C=35°,求∠BED的度数,
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818482832187392/2822335376359424/STEM/a522c218-9733-4f88-af1e-747eb1a45913.png)
(1)请直接写出直线AC与DG的位置关系;
(2)求证:BE//CF;
(3)若∠C=35°,求∠BED的度数,
您最近一年使用:0次