1 . 问题背景:如图1,在正方形
中,边长为4.点M,N是边
上两点,且
,连接
,
,
与
相交于点.
与
的数量关系和位置关系,并证明;
(2)拓展提高:如图2,延长
至P,连接
,若
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667f534c3893e5dcfe16be356202971a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea89499adc4ede5c30145f903d29699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
(2)拓展提高:如图2,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5942a81561bf6617281126e97e5595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
您最近一年使用:0次
2024-05-25更新
|
87次组卷
|
3卷引用:数学(黑龙江哈尔滨卷)-学易金卷:2024年中考考前押题密卷
(已下线)数学(黑龙江哈尔滨卷)-学易金卷:2024年中考考前押题密卷福建省厦门市外国语学校湖里分校2023-2024学年八年级下学期期中数学试题山东省滨州市无棣县2023-2024学年八年级下学期5月月考数学试题
名校
2 . 如图,已知
为平行四边形
的对角线上的两点,且
.
;
(2)若
,求证:四边形
为矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92034dd2bb9480b18709d01153467f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d99bb3ab66b8884bf23cffe1bddcb33.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d888e40f68fe8a24d5dc9c749024808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910936ec9fb419d51ce2f5ea817f8401.png)
您最近一年使用:0次
2024-05-25更新
|
433次组卷
|
3卷引用:数学(北京卷)-学易金卷:2024年中考考前押题密卷
名校
3 . 已知:如图,在平行四边形
中,对角线
与
相交于点
,点
为
的中点,连接
,
的延长线交
的延长线于点
,连接
.
;
(2)当
满足 时,四边形
为正方形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb11667abcb2759f301391b9850352be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb11667abcb2759f301391b9850352be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ff8c8d239cc12ddc3a899e9f054aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a679040c4d556723e482bacbab41356d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d48088408e98d22c0ad1db333c8ff2b.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b5c267d261fa8eb2d0a958f071a702.png)
您最近一年使用:0次
2024-05-24更新
|
217次组卷
|
6卷引用:重难点02 四边形综合(8大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(江苏专用)
(已下线)重难点02 四边形综合(8大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(江苏专用)(已下线)热点06 轴对称与中心对称(14大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(江苏专用)(已下线)查补重难点06 四边形与特殊四边形-【查漏补缺】2024年中考数学复习冲刺过关(江苏专用)2024年3月江苏省南京市金陵中学河西分校九年级中考数学模拟预测题2024年3月江苏省南京市金陵中学河西分校九年级中考数学模拟试题(已下线)2024年江苏省南京市宁海中学中考数学二模试题
名校
4 .
和
是两个全等的等腰直角三角形,
,
的顶点
与
的斜边
的中点重合,将
绕点
旋转,旋转过程中,线段
与线段
相交于点
,线段
与射线
相交于点
.
在线段
上,且
时,求证:
;
(2)如图②,当点
在线段
的延长线上时,求证:
;并求当
,
时
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0436efefa53aad714565ab2ba7ff90fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a054bf8e3c8826bae3cfe51166a3b97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0436efefa53aad714565ab2ba7ff90fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0436efefa53aad714565ab2ba7ff90fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092699a89afdbd9c7af4a2031917019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebafeed0041e459f79812b08af8eec5e.png)
(2)如图②,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/418c16228e79a73a3f878734b65d1255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44af749e57465f2ebc4ce62648649f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8183d63d1700763da839944c3417c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
您最近一年使用:0次
2024-05-23更新
|
89次组卷
|
21卷引用:2年中考1年模拟 第五篇 图形的变化 专题29 相似与位似
(已下线)2年中考1年模拟 第五篇 图形的变化 专题29 相似与位似(已下线)2年中考1年模拟 第四篇 图形的性质 专题18 等腰三角形与直角三角形(已下线)专题27.36 相似三角形几何模型-一线三等角(专项练习)-2021-2022学年九年级数学下册基础知识专项讲练(人教版)2015届福建省莆田市初中毕业(升学)模拟考试数学试卷华东师大版九年级数学上册第23章 综合能力检测卷(1)【校级联考】广东省揭阳市揭西县2019届九年级上学期第二次月考数学试题人教版九年级下数学 第二十七章相似单元 检测卷【市级联考】四川省阿坝州2019年中考模拟数学试题(3月份)山东省济南市槐荫区2019-2020学年九年级上学期期中数学试题山东省济宁市邹城市第八中学2019-2020学年九年级上学期12月月考数学试题山西省晋城市高平市2018-2019学年九年级上学期期末数学试题2020年山东省淄博市沂源县九年级开学检测一模数学试题2020年福建省龙岩市九年级中考数学5月模拟试题2020年辽宁省营口市九年级中考二模数学试题(已下线)【万唯原创】2018年河北省中考数学-面对面--练习册4.5+4.6广东省佛山市南海区五校联考2020-2021学年九年级上学期第一次月考数学试题北师大版2020年黑龙江省绥化肇东市九年级二模数学试题辽宁省铁岭市昌图县2022-2023学年九年级上学期11月月考数学试题辽宁省铁岭市昌图县2022-2023学年九年级上学期阶段练习数学试题三2023年浙江省台州市中考数学模拟预测题5(已下线)湖南省长沙市麓山外国语实验中学2023-2024学年九年级下学期月考数学试题
2024九年级下·全国·专题练习
5 . 如图,正方形
中,点M在边
上,点E是
的中点,连接
,
.
;
(2)将
绕点E逆时针旋转,使点B的对应点
落在
上,连接
.当点M在边
上运动时(点M不与B,C重合),判断
的形状,并说明理由.
(3)在(2)的条件下,已知
,当
时,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/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f9a3935cd124d021c7b18b0f634915.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bc9983f123701604ea131508334e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed9ac5ae3774f97db118b790aab46ba.png)
(3)在(2)的条件下,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157cd3fff7b1b342def76881998c036c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
您最近一年使用:0次
2024九年级下·全国·专题练习
6 . 如图,在正方形
中,点
为
边上一点,连接
,将
绕点
顺时针旋转
得到
,在
,
上分别截取
,
,使
,连接
,交对角线
于点
,连接
并延长交
于点
.若
,
,则
的长为 __ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.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/3f7ad41b36674fd6e90176ee24cdefbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9afac07cd313063da402c783326f49c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babba18f432a10823cfdccdccfce8681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a309d190802e8a90b421174da5cfc72a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
您最近一年使用:0次
2024九年级下·贵州·专题练习
7 . (一)猜测探究
在等边
中,点
是直线
上的一个动点,线段
绕点
逆时针旋转
得到线段
,连接
,
.
(1)如图1,当点
在
边上运动时,线段
,
和
的关系是 ___________;
(2)如图2,当点
运动到线段
的延长线上时,(1)中结论是否仍然成立?若成立,请给予证明;若不成立,请说明理由;
(二)拓展应用
如图3,将
绕点
逆时针旋转
得到
,连接
,
交于点
,连接
,若
,
,
,求线段
的长.
在等边
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(1)如图1,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(2)如图2,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(二)拓展应用
如图3,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4982bdbeb295651557a71800f567444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faffe3765c15f53305516895aa595a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc95af9238cf516b1f60fd4c51b409a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次
8 . 如图,点
,
,
,
在一条直线上,
,
,
.
;
(2)若
,
,求四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499c1138294ecfbb0fd556802e08f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a510a3eb906b3ef0760b0d1723d11ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c55ee522f41c43253050e92b3c8de31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61f3477e623aa4f924a82bd7a06ce4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe6d44d05c15c1516c85afb1422f505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cec73fce3ed065803d763c700124a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9186e4574ffe28e673724fcb019db208.png)
您最近一年使用:0次
2024-05-21更新
|
349次组卷
|
3卷引用:数学(山东青岛卷)-学易金卷:2024年中考考前押题密卷
2024九年级下·甘肃·专题练习
9 . 【观察猜想】(1)我们知道,正方形的四条边都相等,四个角都为直角.如图1,在正方形
中,点
,
分别在边
,
上,连接
,
,
,并延长
到点G,使
,连接
.若
,则
,
,
之间的数量关系为 ___________;
【类比探究】(2)如图2,当点E在线段
的延长线上,且
时,试探究
,
,
之间的数量关系,并说明理由;
【拓展应用】(3)如图3,在
中,
,D,E在
上,
,若
的面积为12,
,请直接写出
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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e9f8f8598ffafaf6168f64799c8b9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192155e6a3aade305b76b1eb7c75e30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
【类比探究】(2)如图2,当点E在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192155e6a3aade305b76b1eb7c75e30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
【拓展应用】(3)如图3,在
![](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/c76805974fefbe166b90d260e822ab5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436cc600f2cd2fd77a7823bc348537a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
10 . 已知,如图,在
中,
,
是
的中线,F是
的中点,连接
并延长到E,使
,连接
、
.
是菱形;
(2)若
,
,求菱形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f30ae3fda08c3739a33ab09cb4eea39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b0b077bfd3700e78db35bea761ae29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d2231c7a2875ab6d423dff3ead4069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b0b077bfd3700e78db35bea761ae29.png)
您最近一年使用:0次