1 . 如图,已知,
,
,
,D是平面内的一个动点,且
,连接
,点E是
的中点,连接
,则
的最大值与最小值的差为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb262f3529a3e84959fe594b6628c77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
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解题方法
2 . 在
与
中,
,
,
.
,
,则
与
的关系为________.
(2)如果将图1中的
绕点B在平面内顺时针旋转到如图2的位置,那么请你判断
与
的关系,并说明理由
(3)如图3,若
,
,连接
,分别取
,
,
的中点M,P,N,连接
,
,
,将
绕点B在平面内顺时针旋转一周,请直接写出旋转过程中
的面积最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab34c8e368a7a2346a3922f5c532823d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ae31b70c84b0c8bf215843182a8c66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55b6ce55e67f6e95e616eaf1ca3f6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
(2)如果将图1中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c8029d595ad6792877ce32532869e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
(3)如图3,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377f5c10cf527c87ab06bff61384f7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48208a3f67fd590d973badcc742d4b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb6eb78ca96fc50b152315665461e6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582b8f63e72b0d2785a48a8467f8ae9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c8029d595ad6792877ce32532869e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b9b47af8ba2b34c88b415a2c38861a.png)
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2023-08-04更新
|
286次组卷
|
8卷引用:湖北省黄冈市武穴市2022-2023学年八年级下学期期末数学试题
湖北省黄冈市武穴市2022-2023学年八年级下学期期末数学试题辽宁省锦州市2021-2022学年八年级下学期期末数学试题(已下线)重难点03 旋转综合题(4种题型)-2022-2023学年九年级数学考试满分全攻略(人教版)(已下线)12.4(培优课)全等中的手拉手模型(题型精讲精练)-【题型分类精粹】2023-2024学年八年级数学上学期期中期末复习讲练系列【考点闯关】(人教版)(已下线)专题9.37 三角形的中位线(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)(已下线)专题04 平行四边形与菱形(考点清单+20种题型解读)-2023-2024学年八年级数学下学期期中考点大串讲(苏科版)(已下线)专题11 期末解答压轴题(九大题型)-【好题汇编】备战2023-2024学年八年级数学下学期期末真题分类汇编(山东专用)(已下线)专题06梯形与中位线(8大题型)【好题汇编】-备战2023-2024学年八年级数学下学期期末真题分类汇编(上海专用)
3 . 如图,
的直径
是定值,
是
的一条弦,
于M,点N为
的中点,连接
,下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/89634eab-68fe-476f-9231-7536cf1cdc90.png?resizew=131)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b47a08a25693bbfa01026573625ad15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/89634eab-68fe-476f-9231-7536cf1cdc90.png?resizew=131)
A.![]() | B.![]() |
C.![]() | D.以上说法都不正确 |
您最近一年使用:0次
4 . 如图,在
中,
,线段
绕点B旋转到
,连接
,E为
的中点,连接
,设
的最大值为m,最小值为n,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/553ac0f5-1ad0-48e3-87fd-10aea061116f.png?resizew=170)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b8bd32f73eb2ea56f42b7bca79aca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/553ac0f5-1ad0-48e3-87fd-10aea061116f.png?resizew=170)
A.3.6 | B.4.8 | C.5 | D.6 |
您最近一年使用:0次
名校
5 . 如图,在平行四边形ABCD中,∠C=120°,AD=4,AB=2,点H、G分别是边CD、BC上的动点.连接AH、HG,点E为AH的中点,点F为GH的中点,连接EF.则EF的最大值与最小值的差为( )
A.1 | B.![]() | C.![]() | D.2![]() |
您最近一年使用:0次
2022-08-15更新
|
658次组卷
|
30卷引用:【全国校级联考】湖北省荆门市白石坡中学2017-2018学年八年级下学期第二次阶段考试数学试题
【全国校级联考】湖北省荆门市白石坡中学2017-2018学年八年级下学期第二次阶段考试数学试题陕西省西安市碑林区铁一中学2016-2017学年度八年级(下)第二次月考数学试卷【全国区级联考】四川省广元市利州区2018届九年级中考数学一模试【全国校级联考】江苏省灌南县各校命题评比华侨双语学校2018年中考模拟数学试题【全国校级联考】海南省琼中县2018年中考数学二模试卷【市级联考】浙江省慈溪市2018-2019学年八年级下学期期中考试数学试题合肥市五十中学天鹅湖教育集团2019-2020学年八年级上学期教学调研数学试题(已下线)【新东方】初中数学933【2020年】【初二下】(已下线)【新东方】初中数学1015【2020年】【初二下】(已下线)【新东方】初中数学982【2020年】【初二下】2021年江苏省苏州市中考数学调研试卷(3月份)2021年江苏省扬州市江都区邵樊片中考数学二模试题江苏省苏州市吴江区存志中学2020-2021学年九年级下学期3月月考数学试卷辽宁省鞍山市铁西区2020-2021学年八年级下学期期中数学试题安徽省淮北市2020-2021学年八年级下学期期末数学试题2021年江苏省高邮市车逻中学中考模拟预测数学试题陕西省西安市西北大学附属中学2021-2022学年八年级下学期第二次月考数学试题北京人大附中朝阳分校2021-2022学年八年级下学期限时练习数学试题山东省临沂市罗庄区2021-2022学年八年级下学期期中数学试题安徽省合肥市庐江县2021-2022学年八年级下学期期末数学试题陕西省西安市碑林区西工大附中2021-2022学年八年级下学期第二次月考数学试卷(已下线)专题18.21 平行四边形最短路径问题(培优篇)(专项练习)-2022-2023学年八年级数学下册基础知识专项讲练(人教版)(已下线)专题4.27 平行四边形最值问题(培优篇)(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)(已下线)专题19.24 平行四边形最短路径问题(培优篇)(专项练习)-2022-2023学年八年级数学下册基础知识专项讲练(沪科版)(已下线)专题6.24 平行四边形最值问题(培优篇)(专项练习)-2022-2023学年八年级数学下册基础知识专项讲练(北师大版)陕西省西安高新区第十初级中学2022-2023学年八年级下学期第二次月考数学试题河南省平顶山市郏县2022-2023学年八年级下学期期末数学试题山东省2023-2024学年八年级下学期期中数学试题黑龙江省齐齐哈尔市2023-2024学年八年级下学期期中数学试题黑龙江省齐齐哈尔市铁锋区2023-2024学年八年级下学期期中数学试题
6 . 如图,在△ABC中,∠ACB=90°,∠ABC=60°,BC=3,D为AC上一点,AD:AC=2:3,将AD绕点A旋转至AD',连接BD',F为BD'的中点,则线段CF的最大值与最小值之差为______ .
![](https://img.xkw.com/dksih/QBM/2022/1/14/2894363887288320/2973403706286080/STEM/f8a187ee20a7495c9e033caaffeb384a.png?resizew=124)
![](https://img.xkw.com/dksih/QBM/2022/1/14/2894363887288320/2973403706286080/STEM/f8a187ee20a7495c9e033caaffeb384a.png?resizew=124)
您最近一年使用:0次
7 . 如图是一张面积为
的
纸片,其中
,
,
是三角形的中位线,
,
分别是线段
,
上的动点.沿着虚线将纸片裁开,并将
两侧的纸片按箭头所示的方向分别绕点
,
旋转
在同一平面内拼图,使得
与
重合,
与
重合.则拼成的四边形纸片周长的最大值与最小值之差为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42ed2e5bd5a0f033e24008697bf4963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/4c136bc1-7ada-43d2-8b2d-6c28c70357b6.png?resizew=224)
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8 . 如图,在边长为4的正方形
中,E、F分别是
上的动点,M、N分别是
的中点,则
长的最大值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9193c00d2158a26dc03944fd15cf73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73040cf469e163f00d87226d54973523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
您最近一年使用:0次
2024-06-01更新
|
121次组卷
|
3卷引用:湖北省知名教联体2023-2024学年八年级下学期第二次月考数学试题
9 . 如图,等腰直角
中,
,
,
于点D,E为平面内一动点,且
,F为
中点,连接
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630d82ae0ed6deb825514e0bc92e74a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1070d38d2fea1dc88c6eb31d320b763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
您最近一年使用:0次
10 . 问题背景:如图(1),在
和
中,
,
,求证:
;
尝试应用:如图(2),在
和
中,
,
,连接
,点F是
的中点.判定以B,D,F为顶点的三角形的形状,并证明你的结论;
拓展创新:如图(3),在
中,
,
,将
绕点A逆时针旋转
得到
,连接
.若点E是
的中点,连接
,直接写出
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e5f6cb95e67eb160e4a8627a81c6e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8abfdaab699cfe51bb9678110ad6aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b83407b7a590f1529162e79b8073a62.png)
尝试应用:如图(2),在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c2425db34d83dbe44f3ee3d2c5439b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a164a2233e24d114abf5c15047d97d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
拓展创新:如图(3),在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70cdea0a6320419afb4a69c086b58568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955adbf9e41c9b02b6fd503330659186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
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