【注重阅读理解】阅读以下材料:
已知点
,
分别在
和
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/fbd906b3-cb70-4fe1-9da7-67a2f316b380.png?resizew=468)
(1)如图
,若
,
,则
的度数为______;
(2)如图
,
平分
,
延长线与
的平分线交于
点,若
比
大
,求
的度数.
(3)保持(2)中所求的
的度数不变,如图
,
平分
,
平分
,作
,则
的度数是否改变?若不变,请求值;若改变,请说明理由.
已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4c6b0869d7248b6c2f964718a67702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913eeeae4f6d944fed167f55355bbc42.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/fbd906b3-cb70-4fe1-9da7-67a2f316b380.png?resizew=468)
(1)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a65b17068e2d49460f666a31218dce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b036f30470bedc4a8c12e52eb1490bfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
(2)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4083c581c6027c4b2ae7e3b3749f485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c962fe4f47732b8e6e83d17ff2b9af13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6beda2518cf76da94d7ec9a813dcfa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1676bd9ff0a53f683ff459216d2d9d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6beda2518cf76da94d7ec9a813dcfa82.png)
(3)保持(2)中所求的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6beda2518cf76da94d7ec9a813dcfa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57a390fc004839e8d5be41f60edd759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d19f963f7c803bcfcbb265ec6d4304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e3256a8aa2ddc1add34c658fbf7b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e65a4e3e45d44fb8cca08165b2b6f1.png)
22-23七年级下·江苏泰州·阶段练习 查看更多[4]
江苏省泰州市海军中学2022-2023学年七年级下学期3月月考数学试题黑龙江省哈尔滨市南岗区第四十九中学2023-2024学年七年级上学期期中数学(五四制)试题(已下线)专题7.11 平行线的证明章末十一大题型总结(拔尖篇)-2023-2024学年八年级数学上册举一反三系列(北师大版)(已下线)专题5.8 相交线与平行线章末八大题型总结(拔尖篇)-2023-2024学年七年级数学上册举一反三系列(华东师大版)
更新时间:2023-03-23 10:57:58
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【推荐1】如图,已知
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
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(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbee6d5731d6f4bb1e4f2ba3d89b7dc.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff73892a5566e1eff4955174277e24d.png)
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【推荐2】如图,直线PQ
MN,一副直角三角板△ABC、△DEF中,∠ACB=∠EDF=90°,∠ABC=∠BAC=45°,∠DFE=30°,∠DEF=60°.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/5/4547e944-936b-4d82-b5b0-531a09335fa9.png?resizew=500)
(1)若△DEF如图1摆放,当ED平分∠PEF时,则∠DFM= .
(2)若图2中△ABC固定,将△DEF沿着AC方向平移,边DF与直线PQ相交于点G,作∠FGQ和∠GFA的角平分线GH、FH相交于点H(如图3),求∠GHF的度数.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/5/4547e944-936b-4d82-b5b0-531a09335fa9.png?resizew=500)
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【推荐1】直线AB∥CD,点P为平面内一点,连接AP,CP.
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(1)如图①,点P在直线AB,CD之间,当∠BAP=60°,∠DCP=20°时,求∠APC的度数;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://img.xkw.com/dksih/QBM/2021/5/7/2715690882129920/2781620399398912/STEM/7c55bc4d-9b6b-4625-a2c9-0ea83fc70198.png)
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解答题-证明题
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【推荐2】已知:直线EF分别交直线AB,CD于点G,H,且
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(2)如图2,点M,N分别在射线GE,HF上,点P,Q分别在射线CA,HC上,连接MP,NQ,且
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;
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,且HE平分
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ff3d44da99d5841025133bada10e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
(2)如图2,点M,N分别在射线GE,HF上,点P,Q分别在射线CA,HC上,连接MP,NQ,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4eaa7bad3cd00418e95aa2c78ae7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31e713f9b76264946f017625edee4b2.png)
(3)如图3,在(2)的条件下,连接KH,KH平分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e5014645768575aac2578f228f8401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb34a7abb4b6269fbbec581df20dd3c8.png)
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