2024九年级下·全国·专题练习
1 . 如图,在菱形
中,连接
,H为边
延长线上一点,连接
,分别交对角线
、边
于M、
两点,连接
.
;
(2)若
,求
的长.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86851b1595b3ceb88697a799f3fe5e5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f1d89cfc29b602fa63e6626c833caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83042953e7f15e984b2da2ee9ca678d1.png)
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名校
2 . 如图,在正方形
中,点E,F分别在
,
上,满足
,连接
,
,点P,Q分别是
,
的中点,连接
.若
.则
可以用α表示为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e46fb91464159b80eab7c28a926b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8adb689d65900b435ecd81b615fe3617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69b0601b25e7601cbe0eb87005b802b.png)
A.α | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-13更新
|
288次组卷
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9卷引用:中考热点05 几何求解选择类(4题型+满分技巧+限时检测)-2024年中考数学【热点·重点·难点】专练(重庆专用)
(已下线)中考热点05 几何求解选择类(4题型+满分技巧+限时检测)-2024年中考数学【热点·重点·难点】专练(重庆专用)重庆市沙坪坝区第一中学校2023-2024学年九年级上学期期末数学试题(已下线)第10讲 专题5 正方形中的三大模型-【帮课堂】2023-2024学年八年级数学下册同步学与练(人教版)(已下线)第05讲 正方形(3个知识点+5类热点题型讲练+习题巩固)-【帮课堂】2023-2024学年八年级数学下册同步学与练(人教版)重庆市梁平区梁山初中教育集团2023-2024学年九年级下学期期中考试数学试题(已下线)专题04 矩形、菱形、正方形性质与判定期末真题汇编【八大题型+优选提升题】-备战2023-2024学年八年级数学下学期期末真题分类汇编(人教版)(已下线)2023—2024学年名校期末好题汇编(人教版八年级数学下册)——专题四—特殊的平行四边形2024年重庆市中考数学模拟预测卷(二)山东省淄博市高青县2023-2024学年八年级下学期期中数学试题
3 . 如图,在每个小正方形的边长为1的网格中,等边三角形
内接于圆,且顶点
,
均在格点上.
(Ⅰ)线段
的长等于______ ;
(Ⅱ)若点
在圆上,
与
相交于点
,请用无刻度的直尺,在如图所示的网格中,画出点
,使
为等边三角形,并简要说明点
的位置是如何找到的(不要求证明)______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(Ⅰ)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(Ⅱ)若点
![](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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87b2f781cafa7989d81f9bf8c42b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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4 . 如图,在
中,
,
,点
在
外,连接
,过点
作
,交
于点
,连接
,若
,则
(Ⅰ)线段
的长等于______ ;
(Ⅱ)
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7cae2661f84739d7b712ce1d9196a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ed934aa29859e93b1f758229a12581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66195b52f5afc1400d06c1a8784b0d55.png)
(Ⅰ)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(Ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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5 . 综合与实践
【问题情境】在数学综合实践课上,“希望小组”的同学们以三角形为背景,探究图形
变化过程中的几何问题.如图,在
中,
,
,点D为平面内一点(点A,B,D三点不共线),
为
的中线.
【初步尝试】(1)如图1,小林同学发现:延长
至点M,使得
,连接
.始终存在以下两个结论,请你在①,②中挑选一个进行证明:
①
;②
;
【类比探究】(2)如图2,将
绕点A顺时针旋转
得到
,连接
.小斌同学沿着小林同学的思考进一步探究后发现:
,请你帮他证明:
【拓展延伸】(3)如图3,在(2)的条件下,王老师提出新的探究方向:点D在以点A为圆心,
为半径的圆上运动(
),直线
与直线
相交于点G,连接
,在点D的运动过程中
存在最大值.若
,请直接写出
的最大值.
【问题情境】在数学综合实践课上,“希望小组”的同学们以三角形为背景,探究图形
变化过程中的几何问题.如图,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
【初步尝试】(1)如图1,小林同学发现:延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc5123cb66bfc091ccba2537910e2ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef9d0784478511736255074b9395fae.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7421c8bdc82b069293a4f722b6282f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ed62a0805a30b0e306480638241ef0.png)
【类比探究】(2)如图2,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432fd3eb6a03d81326d009bcca48e3d.png)
【拓展延伸】(3)如图3,在(2)的条件下,王老师提出新的探究方向:点D在以点A为圆心,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb6694f3443cc5f4d09948679251b61.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/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
您最近一年使用:0次
6 . 【问题情境】:
(1)如图1,四边形
是正方形,点
是
边上的一个动点,以
为边在
的右侧作正方形
,连接
,则
与
的数量关系是______.
【类比探究】:
(2)如图2,四边形
是矩形,
,点
是
边上的一个动点,以
为边在
的右侧作矩形
,且
,连接
.
判断线段
与
有怎样的数量关系:______,并说明理由:
【拓展提升】:
(3)如图3,在(2)的条件下,连接
,求
的最小值.
(1)如图1,四边形
![](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/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/8b1f13007c6d134c50004c62dc240707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcae34454fa43998436a8915394de0e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
【类比探究】:
(2)如图2,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41cd7b4dd31fc8c85f9ffeb654c82b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/8b1f13007c6d134c50004c62dc240707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2f500a59e94210d2689bbcd63696f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcae34454fa43998436a8915394de0e0.png)
判断线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
【拓展提升】:
(3)如图3,在(2)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37512c4149d73627eaec8792c98a492c.png)
您最近一年使用:0次
2024-04-09更新
|
353次组卷
|
5卷引用:重难点05 几何压轴综合(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(上海专用)
(已下线)重难点05 几何压轴综合(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(上海专用)(已下线)热点09 图形变化(平移、旋转、对称)(9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(广东专用)2024年山东省济南市长清区九年级中考第一次模拟考试数学模拟试题2024年山东省济南市长清区第三初级中学九年级第二次调研摸底数学试题2024年山东省淄博市周村区中考二模数学试题
名校
7 . 如图,在每个小正方形的边长为1的网格中,三角形
内接于圆,且顶点A,B均在格点上.
的长为______ ;
(2)若点D在圆上,在
上有一点P,满足
.
请用无刻度 的直尺,在如图所示的网格中,画出点P,并简要说明点P的位置是如何找到的(不要求证明)______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若点D在圆上,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a9b960e999247d27633e7a3c6b155b.png)
请用
您最近一年使用:0次
8 . 问题情境:如图1,在四边形
中
,
,
,E、F分别是
,
上的点,且
,探究图中线段
,
,
之间的数量关系.小王同学探究此问题的方法是,延长
到点G,使DG=
,连接
,先证明
,再证明
,可得出
,
,
之间的数量关系.
,四周修有步行小径,且
,
,在小径
,
上各修一凉亭E,F,在凉亭E与F之间有一池塘,不能直接到达,经测量得
,
米,
米,试在小王同学研究的基础上,求两凉亭之间的距离![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21eb847a1722ed6e10e23c59d53fe7d3.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/4a9eb456c912e01458c19b06e83a5c9d.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/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e590f061f199bd73975eee88102c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf9c2e10ab9f983d4b5c9799c0ceda1.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/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173904239da66b7bef7cb1d997cc40ed.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/2a6aef04eceb608a7a2cfc3e566f9e8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61601ecf8de47ed9b84ee59d65f8118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1100d4920b7955e6294cb619020ecce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
您最近一年使用:0次
9 . 如图1,
是等腰直角三角形,
,点
在
的内部,连接
,将线段
绕点
逆时针旋转
,得到线段
,连接
、
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/21/82e39630-31c2-4dfd-acb7-5ae30e0ee8de.png?resizew=481)
(1)判断线段
与
的数量关系并给出证明;
(2)如图2,当B、D、E三点在同一条直线上时,写出线段
、
、
的数量关系为 .
(3)如图3,若
,
,点
为线段
中点,当
、
、
三点在同一条直线上时,连接
,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/c02b54dc6b3e1bb6544f47d4c8743fcf.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/21/82e39630-31c2-4dfd-acb7-5ae30e0ee8de.png?resizew=481)
(1)判断线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)如图2,当B、D、E三点在同一条直线上时,写出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(3)如图3,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f1bdfe8f60ee0f9e5d1629717d852c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2024-04-09更新
|
163次组卷
|
6卷引用:2023年济南一模(几何综合)
10 . 如图,在正方形
中,E是边
上的一动点(不与点B、C重合),连接
,点C关于直线
的对称点为
,连接
并延长交直线
于点P,F是
的中点.连接![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
的度数;
(2)连接
,求证:
;
(3)连接
,若正方形的边长为10,求
的面积最大值.
![](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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c92b5799d12ea37de46d7c942ce7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c92b5799d12ea37de46d7c942ce7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb2cae61c5383a0cba4016e95a9e7dd.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766710dfe704dafaf7f994937cccbad5.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8545c7ec378be8ad759c608e16ae9183.png)
您最近一年使用:0次
2024-04-08更新
|
371次组卷
|
5卷引用:热点07 平行(特殊)四边形(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(广东专用)
(已下线)热点07 平行(特殊)四边形(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(广东专用)(已下线)抢分秘籍11 几何图形中求线段,线段和,面积等最值问题(4题型)-备战2024年中考数学抢分秘籍(全国通用)2024年浙江省杭州市锦绣教育集团九年级中考数学一模模拟试题2024年浙江省杭州市拱墅区锦绣育才教育集团中考数学一模模拟试题(已下线)期中押题卷01-【好题汇编】备战2023-2024学年八年级数学下学期期中真题分类汇编(山东专用)