1 . 如图,平行四边形
中,
,垂足分别是E,F.
.
(2)连接
,若
,求四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac0d222d7960e63d43c212ac285d93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebff37acb44e6a3665aa371f73c79c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1df307dbd23052373bb41c3e7c017b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3c15b30bd155641e548a7d8c172dd4.png)
您最近一年使用:0次
2023-10-19更新
|
276次组卷
|
5卷引用:浙江省湖州市吴兴区2022-2023学年八年级下学期期中数学试题
浙江省湖州市吴兴区2022-2023学年八年级下学期期中数学试题山东省烟台爱华双语学校(五四制)2023-2024学年八年级上学期第三次质量检测数学试题(已下线)专题03 平行四边形的性质和判定之八大题型-【好题汇编】备战2023-2024学年八年级数学下学期期中真题分类汇编(人教版)(已下线)专题05 平行四边形的性质及判定(八大题型)-【好题汇编】备战2023-2024学年八年级数学下学期期中真题分类汇编(山东专用)(已下线)专题12 浙江省八年级下期中试卷解答题易错题、压轴题精选【好题汇编】-备战2023-2024学年八年级数学下学期期中真题分类汇编(浙教版)
2 . 在
中,点D在直线
上,点E在平面内,点F在
的延长线上,
,
,
.
【问题解决】
(1)如图1,若点D在边
的延长线上,求证:
;
【类比探究】
(2)如图2,若点D在线段
上,请探究线段
、
与
之间存在怎样的数量关系,并证明;
【拓展延伸】
(3)如图3若点D在线段
的延长线上,请探究线段
、
与
之间的数量关系,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7d04ee1ce1405e04caca814c8d2718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a6574405000dab3fec93b438aa2de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ef89a5a1b86b75efe806030c47ad6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/9d8b0b62-e127-4f02-91af-30e6f62a304d.png?resizew=469)
【问题解决】
(1)如图1,若点D在边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03964f6da63ab596c1ad41f8540b97ba.png)
【类比探究】
(2)如图2,若点D在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
【拓展延伸】
(3)如图3若点D在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2023-09-26更新
|
69次组卷
|
2卷引用:浙江省湖州市吴兴区六校联考2023-2024学年八年级上学期期中数学试题
3 . 如图,
的顶点A,B的坐标分别是
,D均在函数
的图象上,若
,则k的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b29fb638af0fd45a300dd6daced3d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd17a2251aa900b821baec9abdc8d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95215e06076cc9eb268a9653fcebe048.png)
A.6 | B.8 | C.10 | D.12 |
您最近一年使用:0次
2023-09-17更新
|
363次组卷
|
4卷引用:浙江省湖州市德清县2022-2023学年九年级下学期期中数学试题
4 . 如图,在
中,点
为
的中点,
的边
过点
,且
,
,
平分
,
,
,则
( )
![](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/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3767efa8adfb71001ad39df9560cbf6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333ab24c4935210f4c232cd0c0fae358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060705794ef87cc71dac40c57f27b1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0268d04b9dea7629af27af9a0285a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25936291abb6432ed5a710ebf0ea195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b1fce5acb99c537df69d9d66141305.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/8db9a219-99ce-4a70-ad9e-102f7e29c9ea.png?resizew=195)
A.10 | B.8 | C.7 | D.6 |
您最近一年使用:0次
5 . (1)呈现:如图1,等腰直角三角形
的直角顶点
在直线
上,分别过点
作
于
,
于
,则有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
.请你证明这个结论;
(2)应用:如图2,已知
,
,把线段
绕点
顺时针方向旋转
后得到线段
,求点
的坐标;
(3)拓展:如图3,直线
直线
,垂足为
,点A是直线
上一定点,且
,点
在直线
上运动,以
为边作等腰
,
(点
呈顺时针排列),当点
在直线
上运动时,点
也随之运动.在点
的运动过程中,
的最小值为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13b505788d3d02bf232ac637fc3a8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e72d26eae9a5470ac982541c609b109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9b8d99b9de52b51d1e5e223da3a96.png)
(2)应用:如图2,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e5eea5f7f98ca8632358b7e49ceb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(3)拓展:如图3,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df740160690029ac1e730c85f20347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2d3f02cb9007cd4a90ea30f6dd8181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc5cd5a1664ef7692e2b1b18b30d451.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/accea8f3-f141-4296-9fe4-1f986e43b296.png?resizew=605)
您最近一年使用:0次
2023-08-29更新
|
157次组卷
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4卷引用:浙江省湖州市长兴县2022-2023学年八年级上学期12月月考数学试题
浙江省湖州市长兴县2022-2023学年八年级上学期12月月考数学试题(已下线)专题3.11 轴对称与坐标变化(分层练习)(培优练)-2023-2024学年八年级数学上册基础知识专项突破讲与练(北师大版)(已下线)专题5.15 坐标与图形变换——轴对称(分层练习)(培优练)-2023-2024学年八年级数学上册基础知识专项突破讲与练(苏科版)浙江省金华市兰溪市第八中学2023-2024学年上学期学习能力调查(一)八年级数学试卷
名校
6 . 如图,在矩形
中,
于点
于点
.
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c51c25b65a37b676ae3c3b71c29f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b1cd991e4839c59cd05b7b9d12ef03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8eebda19eded2b059774a8c2666c3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/25/c08d825a-9666-4797-9e55-4c3b82341cca.png?resizew=161)
您最近一年使用:0次
2023-08-23更新
|
98次组卷
|
17卷引用:浙江省湖州市长兴县2022-2023学年八年级下学期5月月考数学试题
浙江省湖州市长兴县2022-2023学年八年级下学期5月月考数学试题2021年山东省济南市历下区中考数学二模试卷2021年山东省济南市天桥区九年级学业水平第二次模拟考试数学试题2021年山东省济南市天桥区中考数学二模试题陕西省西安市高新第一中学2020-2021学年八年级下学期期末数学试题山东省济南市济阳区2021-2022学年九年级上学期期末数学试题湖北省十堰市张湾区东风第七中学2021-2022学年九年级下学期3月月考数学试题(一模)(已下线)专题1.2 矩形的性质与判定(能力提升)-2022-2023学年九年级数学上册《同步考点解读·专题训练》(北师大版)(已下线)【浙教版课时练习】八年级下册第5章目标与评定广东省江门市第二中学2021-2022学年八年级下学期第一次月考数学试题2023年山东省济南市历下区中考一模数学试题山东省济南市莱芜区陈毅中学片区联盟2022-2023学年八年级下学期期中数学试题2023年山东省济南市莱芜区中考三模数学试题山东省济南市天桥区天桥区泺口实验学校2022-2023学年八年级下学期月考数学试题福建省莆田市城厢区砺成中学2022-2023学年八年级下学期第二次月考数学试题(已下线)专题02矩形的性质与判定(4个知识点9种题型1个易错点中考4种考法)-【帮课堂】2023-2024学年九年级数学上册同步学与练(北师大版) 山东省济南市章丘区2023-2024学年九年级上学期期中数学试题
7 . 如图,已知在矩形
中,E是边
的中点,连接
并延长,与
的延长线交于点F,连接
和
.
是平行四边形;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcca8b9ba7a9fdd7d18ce9c1e86d2cd5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e82a0052299f414cff1e7afcc5aa19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
您最近一年使用:0次
2023-07-08更新
|
96次组卷
|
3卷引用:浙江省湖州市南浔区2022-2023学年八年级下学期期末数学试题
8 . 如图,已知在平面直角坐标系
中,点P在反比例函数
图象上,点B为y轴负半轴上一点,连结
交x轴于点A,点C为x轴负半轴上一点,连结
和
.若
,
,且
的面积为3,则k的值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff4dc731bb311e88109839f15e69478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb96e0331eebe80ed1ff610faf531fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45076cba3e29c568368549fa2be1c600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
您最近一年使用:0次
9 . 如图,E、F是
的对角线
上的两点,且
,
,连接
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/8fdabb72-bd42-45a0-a5b8-804d6f54f41a.png?resizew=174)
(1)求证:
.
(2)连接
交
于点
,若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d320f180419175d75eebc618cc458b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/8fdabb72-bd42-45a0-a5b8-804d6f54f41a.png?resizew=174)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cbfaec1d9dcaaf159b060163436113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a028fd5b281ef168702a803baca6e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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10 . 如图1,
于点B,射线
于点C,P是线段
(不与点B,C重合)上的动点,过点P作
交射线
于点D.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/596b065d-8c22-4078-9394-c6fea6768a0c.png?resizew=539)
(1)若
,求证:
;
(2)如图2,若
,求
的面积;
(3)如图3,连结
,若
平分
,试猜测
和
的数量关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a74f478fb96f1c7e3ed3f8ad9078c06f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1676715fa1188b716cc945be7b94e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/596b065d-8c22-4078-9394-c6fea6768a0c.png?resizew=539)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d057c8a707abd8d2e07e3b0fbbf8b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0821d5158a6aed0c7e4c9d130642919d.png)
(2)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233170261679ef1b905c25db9e7f23af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
(3)如图3,连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
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