真题
解题方法
1 . 如图,
是等边三角形,
,动点
从点
出发,以
的速度沿
向点
匀速运动,过点
作
,交折线
于点
,以
为边作等边三角形
,使点
,
在
异侧.设点
的运动时间为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181b087a2e4fc3df83f2067a1e9d33f8.png)
,
与
重叠部分图形的面积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/1901f8bf-c39a-4b61-a418-aa90639ce8dc.png?resizew=290)
(1)
的长为______
(用含
的代数式表示).
(2)当点
落在边
上时,求
的值.
(3)求
关于
的函数解析式,并写出自变量
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1138e82e53661e80f00d05bdcd4a4747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f9a9781bcf32e907bdd3170261648a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84733f9dc908ceb11459cc2aed580ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a52ef2a5f53a6d6aed3617b64b3d58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35708245a5da381178284f5ac7ce9c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181b087a2e4fc3df83f2067a1e9d33f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0ead579ee447dc424364ab4359d5a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd3355d3bee7e168af3bec0662b7dd8.png)
![](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/81bdf1249b58f82e10f1110d939ed317.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/1901f8bf-c39a-4b61-a418-aa90639ce8dc.png?resizew=290)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当点
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2020-07-30更新
|
1771次组卷
|
5卷引用:吉林省2020年中考数学试题
吉林省2020年中考数学试题(已下线)考点14 等腰三角形与直角三角形-备战2021年中考数学核心考点清单(已下线)热点05 三角形的全等与相似-2021年中考数学【热点·重点·难点】专练(已下线)重难点03 探究动态几何问题-2021年中考数学【热点·重点·难点】专练2021年云南省文山州初中学业水平模拟考试数学试题
2 . 能够完全重合的平行四边形纸片
和
按图①方式摆放,其中
,
.点
,
分别在边
,
上,
与
相交于点
.
【探究】求证:四边形
是菱形.
【操作一】固定图①中的平行四边形纸片
,将平行四边形纸片
绕着点
顺时针旋转一定的角度,使点
与点
重合,如图②,则这两张平行四边形纸片未重叠部分图形的周长和为______.
![](https://img.xkw.com/dksih/QBM/2020/7/29/2516227668803584/2517051211251712/STEM/57869ef02b374fbea38f30f4318453c9.png?resizew=381)
【操作二】四边形纸片
绕着点
继续顺时针旋转一定的角度,使点
与点
重合,连接
,
,如图③若
,则四边形
的面积为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b40ec9ca07b9e301dc1db935e3291b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d649afbddd907f0dfec1420f02f82fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.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/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
【探究】求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7398082f10073da5bfa37fd4c758af2.png)
【操作一】固定图①中的平行四边形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2020/7/29/2516227668803584/2517051211251712/STEM/57869ef02b374fbea38f30f4318453c9.png?resizew=381)
【操作二】四边形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fe9c99c7437f58d374411350b47866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17817b7552fd396b8432f9fb3ea1efbb.png)
您最近一年使用:0次
2020-07-30更新
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1213次组卷
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8卷引用:吉林省2020年中考数学试题
吉林省2020年中考数学试题吉林省长春市南关区实验繁荣学校2020-2021学年九年级上学期期中数学试题(已下线)2023年吉林省中考数学真题变式题21-26题(已下线)专题28.19 锐角三角函数(挑战综合(压轴)题分类专题)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(人教版)(已下线)专题1.21 直角三角形的边角关系(挑战综合(压轴)题分类专题)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(北师大版)(已下线)专题7.19 锐角三角函数(挑战综合(压轴)题分类专题)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(苏科版)(已下线)专题1.21 解直角三角形(挑战综合(压轴)题分类专题)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(浙教版)2022年江西省新余市第一中学中考数学模拟试卷
真题
名校
3 . 探究:如图①,在四边形
中,
,
,
于点
.若
,求四边形
的面积.
应用:如图②,在四边形
中,
,
,
于点
.若
,
,
,则四边形
的面积为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b6e08fde74010412a6f14ad4dfbcc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4611ceb2a28f7a7e4d24266d7f99b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d30cd3e53a9df24fe6da5e8a3a7ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
应用:如图②,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4579332087ee585f1cae423a6ae1862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f5dc11efe60b4fd9a13b1d6b83842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8003814834287e122a12b64a936dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/acbc9478-0d9c-42a8-a710-4940243e2174.png?resizew=274)
您最近一年使用:0次
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5卷引用:2013年初中毕业升学考试(吉林长春卷)数学
真题
4 . 如图,在▱ABCD中,AE⊥BC交边BC于点E,点F为边CD上一点,且DF=BE.过点F作FG⊥CD,交边AD于点G.求证:DG=DC.
![](https://img.xkw.com/dksih/QBM/2018/3/7/1896868846690304/1898510587371520/STEM/0001be0d47814b4ebaceca93e69e9cba.png?resizew=146)
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8卷引用:2015年初中毕业升学考试(吉林卷)数学
2015年初中毕业升学考试(吉林卷)数学人教版八年级数学 第十八章 平行四边形 18.1 平行四边形 平行四边形的边、角特征 专题练习题【校级联考】陕西省宝鸡市岐山县2018届九年级第二次中考模拟数学试题【区级联考】云南省昭通市昭阳区2018届九年级中考模拟(二)数学试题(已下线)期末综合测评卷-2018年八年级下册数学名师学案福建省泉州十五中2019届九年级(上)期末数学试题(已下线)【万唯原创】2016年河北省中考数学-面对面正文-第一部分第四章3+4(已下线)【万唯原创】全等三角形·基础必练(一)