1 . 如图,
中,
,
,点O是
的中点,将直角三角板的直角顶点绕点O旋转,三角板的两条直角边分别与
、
分别交于点M、N(不与端点重合),连接
,设三角板与
重叠部分的四边形
的面积为S,则下列说法正确的是( )
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c96be64764f0c4200e8b1413ac231d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/19/bf64c40b-3d4e-438b-94e4-74acf93f99bf.png?resizew=208)
A.S变化,![]() | B.S变化,![]() |
C.S不变,![]() | D.S不变,![]() |
您最近一年使用:0次
2 . 在
中,
,
,在平面内,把
绕点
旋转得到
,
垂直直线
,垂足为
,
的延长线交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/74502bfb-9f85-4c96-90c9-902d94ccb510.png?resizew=333)
(1)如图①,若
,求证:
是等腰三角形;
(2)如图②,若点
在
上,求证:点
是
的中点;
(3)连接
,写出
的最大值和最小值,并在图上画出对应的图形.
![](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/1baa1c07becd03537beeb09a31745cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/74502bfb-9f85-4c96-90c9-902d94ccb510.png?resizew=333)
(1)如图①,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d480e8b2c516612b47a19cb62d9bb0.png)
(2)如图②,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
3 . 如图,M是直线
在第二象限部分上的一个动点,连接
,将
顺时针旋转
得到线段
,N是x轴正半轴上一个动点,P为
的中点,Q为
的中点,连接
.下列同学关于
的说法中,正确的是__________ .
小兰:
为定值,长度为2.
小虎:
为定值,长度为4.
小天:
有最小值,最小值为2.
小灿:
有最大值,最大值为4.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3319ff1fccda7edf5514db4bcbdb33c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3319ff1fccda7edf5514db4bcbdb33c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
小兰:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
小虎:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
小天:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
小灿:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/2d63d800-c11f-480c-a1a7-ebc6b3bf95b1.png?resizew=183)
您最近一年使用:0次
名校
4 . 如图1,边长为
的正方形
中,点P为
上一个动点,连接
,作
于点
,交边
于点M,
于
.
;
(2)如图2,连接
,线段
交
于点
,点
为
的中点.
时,求
的长;
②线段
是否存在最小值和最大值,若存在,请直接写出线段
的最小值和最大值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](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/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcabbb4a3204d94675ce39838e13c3af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9172c05a868ee87e293e6dee6094834f.png)
(2)如图2,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d10f2db7289ff1ec65c47d9af77a9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
②线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次
2023-04-15更新
|
275次组卷
|
6卷引用:2023年山东省淄博市张店区中考一模数学试题
名校
5 . 问题背景
在
中,
,点D为边
上一动点,点E为边
上一动点,沿直线
把
翻折,得到
.
问题解决
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/5ba2afb7-9da5-4bc4-9044-e0698b8a2b9a.png?resizew=478)
(1)如图1,当
与B重合时,求线段
的长;
(2)如图2,当
与边
相交于点F,且
时,连接
,
①求五边形
面积的最大值;
②连接
,则
的周长的最小值为 (直接写出答案).
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2522a6965e901bd75bb53113e0c0dfcb.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34dbf33492e5223df78dea34a24ae015.png)
问题解决
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/5ba2afb7-9da5-4bc4-9044-e0698b8a2b9a.png?resizew=478)
(1)如图1,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(2)如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968b886a9f161fdcab1e08cba8ece5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e07ec05313a6eb0f27994f432493fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
①求五边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a621d0ba529307e9df8d2a467af1083.png)
②连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a037b1a3ec2e37bbcb05d0a467efb511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db121e30b06b467f5d270a1c7d91860e.png)
您最近一年使用:0次
6 . 在平面直角坐标系中,抛物线
与x轴交于A、B两点.
(1)抛物线
经过的定点的坐标为
(2)当点
在这个函数图像时,
①求抛物线的函数关系式;
②抛物线上有一点P,连结
若
的面积为
时,求点P的坐标;
③当
时,函数的最大值与最小值的差是3,求m的值:
(3)在抛物线
上的点
的横坐标分别为
、4,连接
,将线段
绕点M逆时针旋转
的线段
,以
为邻边作正方形
.当抛物线在正方形
内的部分所对应的函数值y随x的增大而减小或y随x的增大而增大时,直接写出a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1300fa9a0667841981682b1f6ae8028.png)
(1)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1300fa9a0667841981682b1f6ae8028.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b1f4120365cb6ee4925fe417563f9.png)
①求抛物线的函数关系式;
②抛物线上有一点P,连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e46d7797d84ccffea954e51c5ff31fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32dafa09346e8a6af1e994b8f2d6212b.png)
(3)在抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1300fa9a0667841981682b1f6ae8028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5d7dbd7b6905986c828a0f220d9bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c70fcaa661df4fbcad820b439accda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafb381c59b16509c2a5acc4945313c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5627dee61ff1a179ed56a7e627927448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5627dee61ff1a179ed56a7e627927448.png)
您最近一年使用:0次
7 . 如图,在平面直角坐标系中,二次函数
的图象与
轴相交于点
,
,与
轴相交于点
.若二次函数
的图象经过点
,
.
(2)当
时,求二次函数
最大值与最小值的差;
(3)在二次函数
图象上任取一点
,其横坐标为
.点
在二次函数图象的对称轴上.若以点
,
,
为顶点三角形是以
为直角的等腰三角形.求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d44326c214c7a5ecc3068a29ec96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d44326c214c7a5ecc3068a29ec96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd1a5612d7ae2b99265e6527c9ae78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd92d7c87aaa950ce4d4b26578ae2221.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b6fd5a1dbb65cbe9bfe602c914a24f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d44326c214c7a5ecc3068a29ec96f.png)
(3)在二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d44326c214c7a5ecc3068a29ec96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030314ca026d6b18481682f70f48d19b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2022-12-27更新
|
161次组卷
|
4卷引用:吉林省吉林市丰满区第二十九中学校2022-2023学年九年级上学期期末数学试题
8 . 综合与实践:动手操作:某校八(1)班数学课外兴趣小组在学完第13章的特殊三角形后,利用手头上的一副三角板,他们将一块直角三角板
(
,
)的直角顶点
放置在另一块直角三角板
(
,
)斜边
的中点处,并将三角板
绕点
任意旋转.
发现结论:
(1)如图,三角板
的两边
分别与另一块三角板的边
交于点
(规定:此时点
均在边
上运动),他们在旋转过程中,发现线段
与
的长总相等及四边形
的面积不会发生变化.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/7988597c-950c-41bb-b7ee-4b1e8f9306ca.png?resizew=188)
问题解决:
①请你帮他们说明
的理由;
②若
,请你帮他们求出四边形
的面积.
拓展延申:
(2)如图,连接
,当
,
时,那么直角三角板
在绕点
旋转一周的过程中,请你直接写出线段
长的最小值和最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6791aee96ff1579101462985839ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5b3967aa677f18e92912d2397f4907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
发现结论:
(1)如图,三角板
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dda573d13d7cc0fb63ec05d41faef03b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5345f892125374809bcaaab5da8d3f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817610b69f5f7d96bdfc834d1dd699cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817610b69f5f7d96bdfc834d1dd699cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5345f892125374809bcaaab5da8d3f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53330c107f8245290a5a42c3d356acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ebabbf6a3b6da882eb237eefd61b26.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/7988597c-950c-41bb-b7ee-4b1e8f9306ca.png?resizew=188)
问题解决:
①请你帮他们说明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51dfab0c1ec275ff83d08c7293968c4.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b79850d6b00a67110e77a33d1c46b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ebabbf6a3b6da882eb237eefd61b26.png)
拓展延申:
(2)如图,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b79850d6b00a67110e77a33d1c46b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba027570795fdca25194fde38be3d29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/0ad255f4-3422-4455-b488-2bc88dc2c162.png?resizew=188)
您最近一年使用:0次
2022-11-14更新
|
96次组卷
|
2卷引用: 福建省龙岩市上杭县城区初中2022-2023学年八年级上学期期中检测数学试题
名校
9 . 在等腰直角
中,
,
,D是线段
上一点,E是线段
延长线上一点,连接
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/9f01fb02-3d93-4e13-8df5-e7f499e1ba45.png?resizew=417)
(1)如图1,若
,
,
,求
的长度;
(2)如图2,过点E作
于点F,交
于点G,取
中点为M,过点A作
交
延长线于N,若
平分
,证明:
;
(3)如图3,将点C绕点B逆时针旋转
度
得点P,连接
、
,当
取最小值时,直线
与
交于点Q,将点Q绕点D顺时针旋转
度
得点
,连接
、
.若D是
中点,
,
,直接写出
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/9f01fb02-3d93-4e13-8df5-e7f499e1ba45.png?resizew=417)
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa5f75c22c4cc1ab39cf9c9962d40d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a36b550ecb5353bfecd88a64715070d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f218914337edd06e59e75d90b777e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)如图2,过点E作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082292e52d5b734762cf9c139ee550bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2099666bc1f575f9d1b1476867bcaa52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc7f59a3796946e4179681ed1a3f602.png)
(3)如图3,将点C绕点B逆时针旋转
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d14ca0bddaf5ae1734338902b3c8add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23e9cb541907a9773700ac0c1f0c3a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378e55e64a82bdf3033ec9451ca54349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a42da28be159399514cc6179a96e34b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd7592d13706f179027fa911b5d75c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcf554a2dd977c741b71b82ecabcb1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22594618f714034f32b6621247f79236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b000d7a394a90a28353a5de378ba1234.png)
您最近一年使用:0次
10 . 如图1,△GEF是一个等腰直角三角形零件(其中EG=FG,∠EGF=90°),它的两个端点E、F分别安装在矩形框架的边AB、BC上(点E、F可以在边上滑动),且EF=AB=1.5,AD=2.小明在观察△GEF运动的过程中,给出了两个结论:①∠GEB与∠GFB一定互补;②点G到边AB、BC的距离一定相等.
(2)请思考并解决小明提出的两个问题:
问题1:B、G两点间距离的最大值为 ;
问题2:过点G分别作GM⊥BC,GN⊥CD,垂足为点M、N,连接MN,那么MN长度的最小值为多少?
(2)请思考并解决小明提出的两个问题:
问题1:B、G两点间距离的最大值为 ;
问题2:过点G分别作GM⊥BC,GN⊥CD,垂足为点M、N,连接MN,那么MN长度的最小值为多少?
您最近一年使用:0次
2022-08-05更新
|
84次组卷
|
4卷引用:江苏省盐城市盐都区第一共同体2021-2022学年八年级下学期期中数学试题
江苏省盐城市盐都区第一共同体2021-2022学年八年级下学期期中数学试题(已下线)难点特训(二)和正方形有关的压轴大题-【微专题】2022-2023学年八年级数学下册常考点微专题提分精练(苏科版)江苏省镇江市京口区索普初级中学2022-2023学年八年级下学期3月月考数学试题(已下线)专题18.35 平行四边形题型分类专题(最值问题)(分层练习)-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)