如图所示,
,
与
的角平分线相较于点
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d19f963f7c803bcfcbb265ec6d4304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/693680d7ba988e42417766f95ec85a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ee1c8b8f17e6adfe29201544ee304c.png)
![](https://img.xkw.com/dksih/QBM/2019/6/10/2222630317121536/2222834576908288/STEM/20b1c9709df24a9d9c56304361b088a1.png?resizew=174)
2019九年级·全国·专题练习 查看更多[3]
人教版几何专题第二章相交线与平行线江苏省南京市鼓楼区金陵汇文学校2017-2018学年七年级下学期第一次月考数学试题(已下线)专题5.12 《相交线与平行线》几何模型1(专项练习)-2020-2021学年七年级数学下册基础知识专项讲练(人教版)
更新时间:2019-06-10 22:31:26
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解答题-证明题
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【推荐2】请把下列证明过程补充完整.
已知:如图,
平分
,点D、E分别在
、
上,且
.
求证:
.
平分
(已知),
∴
______(______).
∵
(已知),
∴
______(______).
∴______(______).
已知:如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d021981c03e75b1a246d899dcc64656.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50ce9ef89a466df68124a1dccff5663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d021981c03e75b1a246d899dcc64656.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc310194575262fb45352c2fbc19868.png)
∴______(______).
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【推荐1】如图,平行四边形
中,点E,F在对角线
上,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f40b3bf6b27f936e0747de92151a1f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2742e11fc7d28fc674537e11d09d042c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/25/13383c25-535d-4b58-a424-ed88293e3073.png?resizew=143)
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【推荐2】如图,在
中,点
是
的中点,
是
边上一点,过点
作
交
的延长线于点
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00a5239269d72d6f9632e7d77347106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe3dc2fc31839eac5a78e1e3d8adda3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/3/76f0f521-ff62-4845-88fe-e31d678916b5.png?resizew=295)
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【推荐1】根据下列证明过程填空:
如图,
,
,D、F分别为垂足,且
,
![](https://img.xkw.com/dksih/QBM/2022/5/13/2978501823758336/2987011607519232/STEM/6193c0cc-f1d7-4908-9a2c-41aa3fe4954e.png?resizew=230)
求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d226a243a88d9291845f43b499e867d9.png)
证明:∵
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de4a54cc7818be87a239f6de5f5d05b.png)
∴
________=_________(理由: )
∴
_________(理由: )
∴
_________(理由: )
∵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e26895bd023fc7f392b30cf7d05511.png)
∴
_______
∴
________(理由: )
∴
(理由: )
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70734a8e672376bb0bd1522e229f86a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de4a54cc7818be87a239f6de5f5d05b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e26895bd023fc7f392b30cf7d05511.png)
![](https://img.xkw.com/dksih/QBM/2022/5/13/2978501823758336/2987011607519232/STEM/6193c0cc-f1d7-4908-9a2c-41aa3fe4954e.png?resizew=230)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d226a243a88d9291845f43b499e867d9.png)
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70734a8e672376bb0bd1522e229f86a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de4a54cc7818be87a239f6de5f5d05b.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1503237215798ab4694f90a3a5390787.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3c0430146b7b8d40ebb721a4d0de19.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530691ab381ab7f63a9c28cf52abc80a.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e26895bd023fc7f392b30cf7d05511.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd8feaecd6a8261865656a3d1efaffc.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d226a243a88d9291845f43b499e867d9.png)
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解答题-问答题
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(0.85)
名校
【推荐2】已知:如图,
,
.求:
的度数
解:因为
(已知)
所以
(1) (两直线平行,同位角相等)
又因为
(已知)
所以
(等量代换 )
所以 (2) (内错角相等,两直线平行 )
所以
(3)
( (4) )
因为
(已知)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d354155f71a1736c1c9186168695edd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c88b61006085d7cfdc4ff9fe20fe434a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d74465c34ad7afa5d39d9e300bdf86.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/19/17803b64-c260-4aa4-a307-30eb70063474.png?resizew=160)
解:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d354155f71a1736c1c9186168695edd.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc310194575262fb45352c2fbc19868.png)
又因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50ce9ef89a466df68124a1dccff5663.png)
所以 (2) (内错角相等,两直线平行 )
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8d2059674d0d453dfb3e966e92122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e519cdb0cac3981d8e9610dba507a3.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9693da3141d4af5e8deb0fd17dd5aeb.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee66745dbdf45b643f9f4c043bfa4ec.png)
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