1 . 如图,在
中,
,点D为
的中点,
,
绕点D旋转.
、
分别与边
、
交于E、F两点.下列结论:①
;②
;③
;④AD与EF可能互相平分.其中,正确的结论是________ .(填序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6405c61d4c45c746edd730be19c0dfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a54e7b35c73ee578c4d01479ddb74cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.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/85525ca55b0c5307b3eb2a01c4886dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982832cdb9737028190aaa8ca2b276d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f0995c7859092fc03cb5774a7e7aeb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/70ed9f8f-d66e-427b-96b9-e9508319de7f.png?resizew=186)
您最近一年使用:0次
2 . 如图,
是
的直径,弦
于点
,
为
上一点,
,连结
分别交
,
于点
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/f06172d2-57b6-4c59-b490-74a0ab7c427b.png?resizew=138)
(1)求证:
.
(2)若
,且
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f9353ca110c8b81561455b232dbc15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3503502077c4c771a0617779302789d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/f06172d2-57b6-4c59-b490-74a0ab7c427b.png?resizew=138)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2667fc9a2affbfad80ed5bd4210aea.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a2f189c4ae27339c109619af8671f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad9ba9da6c5ae5f23eda257993d1c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4083c581c6027c4b2ae7e3b3749f485.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,函数
的图象过
和
两点.
(2)将直线
沿x轴向左移动得直线
,交x轴于点D,交y轴于点E,交
的图象于点C,若
,求直线
的解析式.
(3)在(2)的条件下,第二象限内是否存在点F,使得
为等腰直角三角形?若存在,请直接写出点F的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9212e728b36c078188606c9d429389d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e638d4124a331191791a52bbf6e5eda2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc9952410001cf8fe869c2bf25930b1.png)
(2)将直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9212e728b36c078188606c9d429389d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a95554278ff5c11d500427093522ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(3)在(2)的条件下,第二象限内是否存在点F,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
您最近一年使用:0次
2023-12-10更新
|
581次组卷
|
16卷引用:江西省九江市2022-2023学年九年级上学期期末数学试题
江西省九江市2022-2023学年九年级上学期期末数学试题山东省德州市乐陵市实验中学2020-2021学年九年级上学期第二次月考数学试题山东省济南市历城区2020-2021学年九年级上学期期中数学试题山东省泰安市新泰市宫里镇初级中学2022-2023学年九年级上学期10月月考数学试题河南省濮阳市华龙区油田第十中学2022-2023学年九年级上学期第一次段考数学试题(已下线)第26章反比例函数01讲核心山东省济南市南山区2022-2023学年九年级上学期期末考试数学试题山东省泰安市东平县实验中学2023-2024学年九年级上学期数学第一次月考考试试题四川省成都市锦江区学道街中学(成都市七中育才学校学道分校)2023-2024学年九年级上学期12月月考数学试题(已下线)专题09 反比例函数中特殊三角形存在性问题专项训练-【好题汇编】备战2023-2024学年九年级数学上学期期末真题分类汇编(广东专用)山东省枣庄市滕州市鲍沟镇鲍沟中学2023-2024学年九年级上学期期末数学模拟试题(已下线)清单06 反比例函数(6大考点梳理+题型解读+核心素养提升+中考聚焦)-2023-2024学年九年级数学上学期期末考点大串讲(人教版)四川省乐山市2019-2020学年八年级下学期期末数学试题(已下线)专题11.33 反比例函数(存在性问题)(巩固篇)(专项练习)-2022-2023学年八年级数学下册基础知识专项讲练(苏科版)(已下线)专题6.33 反比例函数(存在性问题)(巩固篇)(专项练习)-2022-2023学年八年级数学下册基础知识专项讲练(浙教版)福建省泉州师范学院附属中学等校联合2023-2024学年八年级下学期期末数学试题
4 . 类比等腰三角形的定义,我们定义:有一组邻边相等的凸四边形叫做等邻边四边形.
(1)如图
,在凸四边形
中,
平分
,
.求证:四边形
为等邻边四边形;
(2)如图
,在
中,
,
,
,将
沿
的平分线
的方向平移,得到
,连接
,
.若平移后得到的凸四边形
是等邻边四边形,且满足
,求平移的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/bc014f40-4426-4c29-bd51-ae5708661a5a.png?resizew=254)
(1)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fd85cff10e8f192cfe0b0a8b2f4996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af260e0d98c95d1e092dc4c6d348e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1264a2e3609e1c274acb89b5ea5019.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0f0ccc8492a0ccf1eee24867060643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9302e7301169a8085580b35ca9323d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c7a71f08f0394df949164b7e2c93c6.png)
您最近一年使用:0次
5 . 课本再现:如图正方形
对角线
与
相交于点O,E为
上任意点(不与B,C重合),作
交
于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/f0af0dae-5bde-4cbe-845c-5d07b0b148c2.png?resizew=426)
(1)在图1中解答下列问题:
Ⅰ.求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
Ⅱ.当正方形
的面积为4时,小明发现以下结论:
①
;②
;③
.其中正确的是___________(填序号)
(2)如图2,当点P为线段
上任意点时(P不与O,C重合),E,F为分别为边
上两点,且
.问:
之间有何数量关系,并说明理由.
(3)如图3,将图2中正方形
改成矩形
,且
,其它条件不变,直接写出
之间的数量关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2eaf2acb7e954cc0c4aacdc1f29f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/f0af0dae-5bde-4cbe-845c-5d07b0b148c2.png?resizew=426)
(1)在图1中解答下列问题:
Ⅰ.求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
Ⅱ.当正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d1f1cf0b1e77f1fe3f9b846e19c287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2185f3e69cb5fa38e00900ea7c5199ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d8ea787e3302b115bb1d1a93aef3c0.png)
(2)如图2,当点P为线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7459cac5a01a137bff696095281e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea35e9593143ff80bc9e795e79d88ca.png)
(3)如图3,将图2中正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b4b29aeeb1520a6b74de9b6f1d8c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea35e9593143ff80bc9e795e79d88ca.png)
您最近一年使用:0次
6 . 如图正方形
,正方形
如图,并排放置,G不是
中点.请用无刻度直尺完成下列作图.
;
(2)在图2中边
上寻找点P,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f215759261a8d1aaf12ac7f6a8f7c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4268b849fe0e806fc40e09371a1684.png)
(2)在图2中边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063f952d2bc74167ad278fcb32d8e293.png)
您最近一年使用:0次
7 . 如图,四边形
是正方形,已知点
的坐标为
,则点C的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607543bb9f55b8a141ed2d6cf0e1a20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/d021405b-0847-47f4-bcbc-128b90667e4c.png?resizew=121)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 如图,在
中,
,
于点E,F为
的中点,连结
,
.有下列四个结论①
;②
;③
;④
其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3ba8b214034c287276f4966069d95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262bd138aa9aad3b0ec2f3d094bfbf0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4eccda4edcee29a5f15609e85106df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c98b148518587d61a2907cdfd6ee4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f586a2079d0e382ef843f4dbe068566e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714434d755783c4d42a3672ffe1c4f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4356224fa5f3b333908a4222529c820.png)
A.①②③ | B.①③④ | C.②③④ | D.①②④ |
您最近一年使用:0次
2023-11-28更新
|
68次组卷
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3卷引用:江西省吉安市吉安市八校联盟2023-2024学年九年级上学期期中数学试题
江西省吉安市吉安市八校联盟2023-2024学年九年级上学期期中数学试题(已下线)专题18.17 菱形(知识梳理与考点分类讲解)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)黑龙江省绥化市绥棱县第六中学2023-2024学年八年级下学期第二次月考数学试题
名校
9 . 如图,正方形
和正方形
的边长都是2,正方形
绕点O旋转时,两个正方形重叠部分的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/2/1981e02f-932c-4b00-8e01-50f42867bc01.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f690b762b0e0410d1757e620434f89be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f690b762b0e0410d1757e620434f89be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/2/1981e02f-932c-4b00-8e01-50f42867bc01.png?resizew=187)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2023-11-28更新
|
174次组卷
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3卷引用:江西省宜春市第一次联考2023-2024学年九年级上学期期中数学试题
江西省宜春市第一次联考2023-2024学年九年级上学期期中数学试题江西省宜春市2023-2024学年九年级上学期期中数学试题(已下线)专题9.31 正方形(题型分类拓展)-2023-2024学年八年级数学下册基础知识专项突破讲与练(苏科版)
名校
10 . 如图,在平面直角坐标系中,已知
,
,以
为一边在
上方作等腰直角
.则点C的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba33de35567ff6f8c15e7e0d37aa590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a682ceca64f8b53216746fb76f3e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2023-11-27更新
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87次组卷
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2卷引用:江西省景德镇市乐平市2023-2024学年九年级上学期期中数学试题