名校
1 . 如图,四边形ABCD是菱形,对角线AC和BD相交于点O,点E是CD的中点,过点C作AC的垂线,与OE的延长线交于点F,连接FD.
![](https://img.xkw.com/dksih/QBM/2022/6/1/2992053081423872/2995321683566592/STEM/a8657985-d0a6-4ae6-94bb-c50216447392.png?resizew=252)
(1)求证:四边形OCFD是矩形;
(2)若四边形ABCD的周长为
,△AOB的周长为
,求四边形OCFD的面积.
![](https://img.xkw.com/dksih/QBM/2022/6/1/2992053081423872/2995321683566592/STEM/a8657985-d0a6-4ae6-94bb-c50216447392.png?resizew=252)
(1)求证:四边形OCFD是矩形;
(2)若四边形ABCD的周长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588c3822b7812e711b4ad86647b15dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1422cf9ba8841ac73c00015e69f0eee2.png)
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2022-06-06更新
|
785次组卷
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5卷引用:四川省成都市金牛区实验外国语学校2021-2022学年八年级下学期期末数学试题
四川省成都市金牛区实验外国语学校2021-2022学年八年级下学期期末数学试题四川省德阳市旌阳区德阳市第二中学校2022-2023学年八年级下学期期中数学试题湖北省崇阳县白霓镇中学2021-2022学年八年级下学期期末模拟数学试题2022年云南省昆明市五华区九年级摸底联考三数学试题(已下线)第一章 特殊平行四边形(A卷·知识通关练)-【单元测试】2022-2023学年九年级数学上册分层训练AB卷(北师大版)
2 . (1)已知:如图,点A、
、
、
在一条直线上,
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/1/12/2892920332984320/2948790903341056/STEM/bb79f23f-795a-429e-b0b9-0c942f170992.png?resizew=241)
①求证:
;
②若
,
,求
的度数.
(2)在平面直角坐标系中,有
、
、
三点.请完成以下两个小题:
![](https://img.xkw.com/dksih/QBM/2022/1/12/2892920332984320/2948790903341056/STEM/8f6a57db-b42e-4822-ac71-45452dba185f.png?resizew=230)
①在图中作出
关于
轴对称的
;
②求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e983bdca8c9a1763462c9097d76c2050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d15148b8834e27cd599c99462f7aaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
![](https://img.xkw.com/dksih/QBM/2022/1/12/2892920332984320/2948790903341056/STEM/bb79f23f-795a-429e-b0b9-0c942f170992.png?resizew=241)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c26ffd8c142d557b077e2ae4bf0b6d0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c5840e0454fdec7d2158072c43b8db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114a43fd02a222d89e868b0d1595d480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b871a762469393cdd22f15aa49ebb8f9.png)
(2)在平面直角坐标系中,有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6414faca343d19a90639b1d22b6f0b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c7b4d4f1f3bddf5c3cf0fe83e46216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a0dbeffa08123c1d74e142d7e15f17.png)
![](https://img.xkw.com/dksih/QBM/2022/1/12/2892920332984320/2948790903341056/STEM/8f6a57db-b42e-4822-ac71-45452dba185f.png?resizew=230)
①在图中作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3 . 如图,在四边形
中,
延长
至点
使
,连接
交
于
且
.
![](https://img.xkw.com/dksih/QBM/2021/7/2/2755799855480832/2770383106179072/STEM/398ea3eb4743410d878f79b26c75b797.png?resizew=253)
(1)求证:四边形
是平行四边形;
(2)若
,求证:
;
(3)在(2)的条件下,若
求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0a4c3a8037bcb67577354746b901d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e4ca8b58be33aa0b01f29308367f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5fc6ead6416492c231c320a5486f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5c664aa79a88c035d7ece15220a4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e9ee7cbb0e0d25555c0b5ddc2691f9.png)
![](https://img.xkw.com/dksih/QBM/2021/7/2/2755799855480832/2770383106179072/STEM/398ea3eb4743410d878f79b26c75b797.png?resizew=253)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42218a68301d770accaaefb96b19f8a.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb970f01c5bec453f971b8c8758edf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de92314656534d33816fb721b708e0a.png)
您最近一年使用:0次
2021-07-23更新
|
301次组卷
|
2卷引用:四川省成都市锦江区2020-2021学年八年级下学期期末数学试题
名校
4 . 如图,菱形ABCD中,对角线AC,BD相交于点O,
,
.
(1)求证:四边形AODE是矩形;
(2)已知
,
,求四边形AODE的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1912c4e0fe478ba402a887fdc759d3f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a78e006003b83147e901b34688a7f0b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/9/829ccd37-8e22-43a8-8702-c47ff849f86c.png?resizew=167)
(1)求证:四边形AODE是矩形;
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377b5f7197e5bd1afeea4d931307956a.png)
您最近一年使用:0次
2020-12-12更新
|
521次组卷
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6卷引用:四川省达州市渠县天关中学2020-2021学年九年级上学期期末数学试题
真题
名校
5 . 如图,面积为S的菱形ABCD中,点O为对角线的交点,点E是线段BC单位中点,过点E作EF⊥BD于F,EG⊥AC于G,则四边形EFOG的面积为( )
![](https://img.xkw.com/dksih/QBM/2020/7/16/2507363294609408/2507715498319872/STEM/4d1664426c4a465aa314030ecd7ebfdb.png?resizew=175)
![](https://img.xkw.com/dksih/QBM/2020/7/16/2507363294609408/2507715498319872/STEM/4d1664426c4a465aa314030ecd7ebfdb.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-17更新
|
879次组卷
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12卷引用:四川省巴中市平昌县2020-2021学年九年级上学期期末数学试题
四川省巴中市平昌县2020-2021学年九年级上学期期末数学试题四川省南充市2020年中考数学试题广东省深圳市宝安区宝安中学2020-2021学年九年级上学期期中数学试题(已下线)【万唯原创】2021年山西省面对面-练册第五章2(已下线)【万唯原创】2021年河南试题研究-练习册-第五章 四边形2课时2黑龙江省哈尔滨工业大学附属中学校2020-2021学年八年级下学期期中数学试题2021年广东省深圳市龙园外语实验学校中考数学模拟试卷2021年山东省枣庄市台儿庄区九年级下学期第一次调研数学试卷青海省海东市互助县2021-2022学年八年级下学期期中考试数学试题安徽省宿州市埇桥区2022-2023学年九年级上学期第一次阶段考试数学试题广东省梅州市丰顺县八乡山学校2022-2023学年九年级上学期数学12月月考试卷鲁教版(五四制)八年级数学下册第六章 特殊的平行四边形单元测试题
名校
6 . 如图,若将四根木条钉成的矩形木框ABCD变形为平行四边形A′BCD′,并使其面积为矩形ABCD面积的一半,若A′D′与CD交于点E,且AB=2,则△ECD′的面积是_____ .
![](https://img.xkw.com/dksih/QBM/2020/3/12/2417786062602240/2418865880227840/STEM/96a4fc54e08c47ea9a177b71741d5668.png?resizew=220)
您最近一年使用:0次
2020-03-13更新
|
207次组卷
|
4卷引用:四川省达州市渠县渠县中学2022-2023学年九年级上学期期末数学试题
四川省达州市渠县渠县中学2022-2023学年九年级上学期期末数学试题重庆市南岸区重庆南开融侨中学2018-2019学年八年级下学期期中数学试题(已下线)巩固练03 平行四边形、矩形-2020年【衔接教材·暑假作业】八年级数学(人教版)湖北省黄冈市黄梅县2022-2023学年八年级下学期第二次月考数学试题
7 . 如图,在矩形ABCD中,
,对角线AC,BD交于点O,点M,N分别为OB,OC的中点,则
的面积为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b9c822fb47f35da97f4e06a8f61946f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://img.xkw.com/dksih/QBM/2020/1/16/2378322509242368/2378492628049920/STEM/a94ab8520789416e95d57dd929073be5.png?resizew=133)
您最近一年使用:0次
2020-01-16更新
|
545次组卷
|
7卷引用:四川省成都市锦江区2019-2020学年九年级上学期期末数学试题
8 . 如图,矩形
中,
,对角线
、
交于点
,
的平分线
分别交
、
于点
、
,连接
.
![](https://img.xkw.com/dksih/QBM/2019/9/5/2284117306966016/2284206652981248/STEM/b48e501860d84982b7a148d762eb6307.png?resizew=386)
(l)求
的度数;
(2)若
,求
的面积;
(3)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab926d89b65f26c12e3da73ef1e5cf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://img.xkw.com/dksih/QBM/2019/9/5/2284117306966016/2284206652981248/STEM/b48e501860d84982b7a148d762eb6307.png?resizew=386)
(l)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7307ac7510cf35f74337d368b94da4e5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6049d4b46388bf0ca110cc6c8d84d908.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9f4c7fd915718415e87557f5aeea6a.png)
您最近一年使用:0次
2019-09-05更新
|
534次组卷
|
2卷引用:四川省成都市金牛区2018-2019学年八年级下学期期末数学试题
9 . 如图,在长方形
中,点
在
上,点
在
上,且满足
,
.
![](https://img.xkw.com/dksih/QBM/2019/9/5/2284117200216064/2284163277029376/STEM/3277963b67bb4a8aab7a3ac03a09623d.png?resizew=254)
(1)判断
的形状,并说明你的结论;
(2)请用含
的代数式表示
的面积;
(3)当
的面积为长为
长为
时,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c35466e5cb127dbfe00ed7bcf42161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacd5fda0beb1b4a1b980799221438b0.png)
![](https://img.xkw.com/dksih/QBM/2019/9/5/2284117200216064/2284163277029376/STEM/3277963b67bb4a8aab7a3ac03a09623d.png?resizew=254)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f201a40fedca4ad14db193f4db2127e.png)
(2)请用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f201a40fedca4ad14db193f4db2127e.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3814287dbb60d478bffc5366f9928b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1597a691680e5473904dfb8789337513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180ea775f2af05650404d764384e7faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57474ed195bfcc985ed925d8e971d20a.png)
您最近一年使用:0次
真题
名校
10 . 如图,矩形
以点
为圆心,以任意长为半径作弧分别交
、
于
两点,再分别以点
为圆心,以大于
的长为半径作弧交于点
,作射线
交
于点
,若
,则矩形
的面积等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05466ee5e286ee78858a3ab5b813060c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94e1ca12da27075e5241b7c7ce74672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.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/ddeb4846c0cc23166e7b273de820e5bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/46d2248f-84d5-41cc-9d2e-d29564d9f4d6.png?resizew=194)
您最近一年使用:0次
2019-07-08更新
|
2194次组卷
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18卷引用:四川省凉山州2019-2020学年八年级下学期期末数学试题
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