1 . 随着人工智能技术的飞速发展,越来越多的智能产品进入人们的日常生活,人们足不出户就能通过远程操控处理各种事情,“智享生活、乐在其中”成为新世纪人们生活的最大变革
图
所示的是一款多功能智能语音翻译器,其侧面示意图如图
所示,
,
,底座
的长度为
,顶部
的长度为
请你分别求出该语音翻译器的后背
和前屏
的长度?(结果精确到
;参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e1d0f65817ba32a732040518f41440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798a74058ec4bc40b6d9b5d268c359b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c30c4bedb1189fe96828f8b2df21641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d04216651041ddfb04c68c93c6719a2.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/5dd58f9f2603b2a02db40ca2bf9d17a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153df8ab54749477613adeb094dacce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d03a39dcc9840cb5e51a24dbc308a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e8edc744d95d5d0f7f5ef505a5607e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/23/cf449799-4417-4558-954d-194c84e40b08.png?resizew=320)
您最近一年使用:0次
2 . 综合与实践:
问题情景:如图,在
中,
为对角线
,
的交点,
,
,
,
为
上一动点,连接
并延长交
于点
.
独立思考:(1)当
时,求
的度数;
实践探究:(2)当四边形
为平行四边形时,求
的长;
问题解决:(3)当点
在
的垂直平分线上时,直接写出
的长.
问题情景:如图,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/650c6c818df102a83ce5159e3208d01a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feda722a8a8f4b6a84d9ea614e4e8de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
独立思考:(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84733f9dc908ceb11459cc2aed580ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05805b7d1de800f3446ea176a9e00b64.png)
实践探究:(2)当四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bddc68ed03fe7fd1fe30a5e626ba435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
问题解决:(3)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/20/c576cd26-d1e8-4241-bb51-a65ff3e617a4.jpg?resizew=333)
您最近一年使用:0次
2023-08-12更新
|
91次组卷
|
3卷引用:山西省运城市2022—2023学年八年级下学期期末数学试题
山西省运城市2022—2023学年八年级下学期期末数学试题山西省清徐县县城第二初级中学校2022--2023学年八年级下学期期末数学试题(已下线)专题18.13 矩形(分层练习)(提升练)-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)
3 . 综合与实践
问题情境:活动课上,同学们以三角形为背景探究图形变化中的数学问题.如图1,
中,
.将
从图1的位置开始绕点C顺时针旋转得到
(点A,B的对应点分别为点
),旋转角为α(
).
操作思考:
(1)如图2,“明辨”小组画出了
恰好经过点B时的图形.求此时旋转角α的度数;
(2)如图3,“善思”小组画出了点
落在
延长线上时的图形,此时点
也恰好在
的延长线上.过点B作
的平行线交
于点P,猜想
和
的数量关系,并说明理由;
拓展探究:
(3)如图4,“博学”小组在图2的基础上,将
沿射线
的方向平移,点B,C,
的对应点分别为D,E,F,若
,当以A,
,D为顶点的三角形是以
为底边的等腰三角形时,请直接写出平移的距离.
问题情境:活动课上,同学们以三角形为背景探究图形变化中的数学问题.如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3018c687427b6257767eda4a8c6612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b185184dc2dc3894a0313fd13f26a59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1320d3b30daf11c5a7419983da3b3776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e915c7310f3781887a1afb99dbf949.png)
操作思考:
(1)如图2,“明辨”小组画出了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
(2)如图3,“善思”小组画出了点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
拓展探究:
(3)如图4,“博学”小组在图2的基础上,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def0507ec4fec5f53b5e55d74ba3a3e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5326817f9af012432a202749d1df59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/25/3f3aa813-d288-4500-aeec-90403e85eef1.png?resizew=561)
您最近一年使用:0次
名校
4 . 如图,正方形
的边长为4,G是对角线
上一动点,
于点
,
于点
,连接
,给出四种情况:
①若G为
的中点,则四边形
是正方形;
②若G为
上任意一点,则
;
③点G在运动过程中,
的值为定值4;
④点G在运动过程中,线段
的最小值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796b4cd51f5256652220ec2c7a78edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5afd58cf78512bc596645d2d5a1643fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
①若G为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920ae90193d50ae60beafae6f2b4ebcd.png)
②若G为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa712edcfc60a32bed210c8589cabbf.png)
③点G在运动过程中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90367497e5a78214430a9ae95c993ce9.png)
④点G在运动过程中,线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
A.①②③④ | B.①②③ | C.①②④ | D.①③④ |
您最近一年使用:0次
2023-07-31更新
|
148次组卷
|
5卷引用:山西省太原市第三十六中学校2023-2024学年九年级上学期月考数学试题
5 . 如图,正方形木板
的面积是
,在这个木板上截出面积为
的正方形
,连接
,则
的长度为( )
![](https://img.xkw.com/dksih/QBM/2023/7/10/3277832655757312/3279235451543552/STEM/a16d547d87c74f6eb223a199178ce3f2.png?resizew=146)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943bbbc757a39dd74d011c75e66e2725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f0992327528165a6747728712ebbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dc6682d92de85533e57a5071153b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://img.xkw.com/dksih/QBM/2023/7/10/3277832655757312/3279235451543552/STEM/a16d547d87c74f6eb223a199178ce3f2.png?resizew=146)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 如图,在
中,
,
,点
在边
上,
于点
,交
于点
.若
,则
的长为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4cb73e9d976cbfe9c590044fa69dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45306d45915a1eb96b4c62dad6df520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bb34308698b377df58ef5441aeec76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc5df62e8ac9c74a46462519b95479a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/14/7dced976-2fc0-41c2-900f-7b5cca2e2441.png?resizew=198)
您最近一年使用:0次
7 . 综合与实践
问题情境:
如图1,
中,
,
,点C在直线l上,点A、B在直线l的同侧,过点A作
于点D.
(1)如图1,在直线l上取点E,使
.则
与
的数量关系是__________,此时
、
、
之间的数量关系是___________.
探究证明:
(2)如图2,在直线l上取点F,使
,猜想
与
的数量关系,并说明理由(辅助线提示:过点B作
于点H)
拓展延伸:
(3)在直线l任取一点P,连接
,以点P为直角顶点作等腰直角三角形
,作
于点N,请分别探索在图3,图4中
、
、
之间的数量关系,直接写出答案.
问题情境:
如图1,
![](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/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13b505788d3d02bf232ac637fc3a8ee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/18/bbec71a3-e9dd-4da0-bf53-9299cca702b4.png?resizew=343)
(1)如图1,在直线l上取点E,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e72d26eae9a5470ac982541c609b109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
探究证明:
(2)如图2,在直线l上取点F,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680b53673467d5e29454148104e32fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425da1ac2faaf900decf12b9f3806340.png)
拓展延伸:
(3)在直线l任取一点P,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50fa97340e8bf29c8d81dd77e13a6f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33a3f384acb53b5a21521a77ac0b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/18/0b8163b1-f132-4154-ac03-2f9d7ae72f20.png?resizew=429)
您最近一年使用:0次
8 . 综合与探究
如图,在平面直角坐标系中,直线
与
轴,
轴分别交于点
,
,直线
与
轴,
轴分别交于点
,
,两条直线交于点
,且点
的横坐标为
;连接
.
的函数解析式;
(2)求
的面积;
(3)若点
在直线
上,
为坐标平面内任意一点,试探究:是否存在以点
,
,
,
为顶点的四边形是矩形?若存在,请直接写出点
的坐标;若不存在,请说明理由.
如图,在平面直角坐标系中,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1e6043df5ef7c948946ef56eca4b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a01e2e3d40112fdeeb464f81eaac1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cb0a28d72b7e7eacc877e97bc7ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
2023-07-12更新
|
136次组卷
|
4卷引用:山西省吕梁市交口县2022-2023学年八年级下学期期末数学试题
山西省吕梁市交口县2022-2023学年八年级下学期期末数学试题山西省吕梁市吕梁市三校、离石区六校2022-2023学年八年级下学期6月期末数学试题 山东省济南市市中区2023-2024学年九年级上学期开学数学试题(已下线)专题19.18 一次函数与方程、不等式(分层练习)(提升练)-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)
9 . 综合与实践:
操作发现:
如图1,在
纸片中,
,
于点
.
第一步:将一张与其全等的纸片,沿
剪开;
第二步:在同一平面内,将所得的两个三角形,和
拼在一起.如图2所示,这两个三角形分别记为
和
;
第三步:分别延长
和
相交于点
.
(1)求证:四边形
是正方形;
拓广探索:
(2)如图3,连接
分别交
,
于点
,在四边形
外作
,使得
,
,判断线段
,
,
之间的数量关系,并说明理由.
操作发现:
如图1,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73152c2b4298298c8b81dc16dc21f5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
第一步:将一张与其全等的纸片,沿
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
第二步:在同一平面内,将所得的两个三角形,和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fb6e81fee5674c3e26a65e58cc506d.png)
第三步:分别延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/15/671c82d9-4652-46f5-8298-0fead9406a68.png?resizew=336)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72794bd3cbe1a898e2254c3dd98a437e.png)
拓广探索:
(2)如图3,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72794bd3cbe1a898e2254c3dd98a437e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507ed891293f5b9f54304df66ca05949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8bc7197ad41f3819d5e87ce74c7f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348fa9cc497f328c9dda7c4e0a624a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360496a4f5cc8a5faca5e089ae4f9531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f1f880e5ffbff036953acaca90c41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/15/8d3840e6-990a-4094-9942-6f67f625123e.png?resizew=160)
您最近一年使用:0次
10 . 如图,有一架秋千,当它静止在
的位置时,踏板离地的垂直高度
为
m,将秋千
往前推送水平距离
为3m时到达
的位置,此时,秋千的踏板离地的垂直高度
为
m,秋千的绳索始终保持拉直的状态.求秋千
的长度,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66577f4cb97c0d2a213ab1a9a02d1324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c8af0b2909df6ec5786c316662919c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/13/80a46cd4-8874-4f1e-a48d-9b26dc89edbf.png?resizew=424)
您最近一年使用:0次
2023-07-09更新
|
98次组卷
|
3卷引用:山西省朔州市右玉县教育集团初中部2022-2023学年八年级下学期7月期末数学试题