1 . 如图,
中,A点坐标为
,B点坐标为
.C点坐标为
.
(1)在图中画出
关于y轴对称的
(不写画法),并写出点
,
,
的坐标.
(2)在y轴上找一点P,使
的长最短.在图中标出点P.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b7667904a57e4e882714b69b0dbb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631386549c0cec5981a1da47b05e5d25.png)
(1)在图中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
(2)在y轴上找一点P,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51a8d10345f567e0f2daf18529d42f0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/ca7c55e2-41aa-4cd1-ac13-b6057eeb43fa.png?resizew=260)
您最近一年使用:0次
名校
2 . 如图,点
、
分别在直线
的上方.
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804607518744576/2805855144312832/STEM/7964b923-9541-45c0-aa16-ed7c98e557be.png?resizew=231)
(1)在直线
上找到点
,使得
最短.(要求:保留作图痕迹,不要求写作法)
(2)在(1)的条件下,若点
、
到直线
的距离分别为
、
,且点
在点
的东北方向,则
的最短距离为______
.
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804607518744576/2805855144312832/STEM/7964b923-9541-45c0-aa16-ed7c98e557be.png?resizew=231)
(1)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac656ec89607f52b5353dba400fab6.png)
(2)在(1)的条件下,若点
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b966764ef08a4f9ddc892de14e7762f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372672db0415d63ec963e6df7a2e9cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac656ec89607f52b5353dba400fab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
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3 . 如图,
中,
,
,
,
是
的角平分线,点
是
的中点,
是
上一点,则
周长的最小值是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786cd645516dde315a4edb05229446fb.png)
![](https://img.xkw.com/dksih/QBM/2021/9/7/2802881738129408/2804641495506944/STEM/49a311cfd55140d2a82ac3931d2c4fb4.png?resizew=166)
您最近一年使用:0次
4 . (1)作出
关于
轴对称的
.
(2)通过画图在
轴上找出点
,使得
与
之和最小.
(3)连接
、
、
,则
的面积为__________.
![](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/4310db23fc79936c7182361e652bab1a.png)
(2)通过画图在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad3a1ea6790177130e16c2124984087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec275f823ae17afdba53301fcbd2aa43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf4a4673b65f056ad5179d1077a5610.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/dab16a53-e52b-4344-ac6f-efd0fc1b1e16.png?resizew=270)
您最近一年使用:0次
2021-09-09更新
|
192次组卷
|
2卷引用:黑龙江省哈尔滨市巴彦县2020-2021学年八年级上学期期末数学试题
名校
5 .
在平面直角坐标系中的位置如图所示.
、
、
三点在格点上.
![](https://img.xkw.com/dksih/QBM/2020/12/4/2606661954404352/2610191471345664/STEM/314644ec-8ff5-411a-9ac4-a3e1574d554b.png?resizew=292)
(1)作出
关于
轴对称的
,并写出点
的坐标________;
(2)在
轴上找点
,使得
最小,通过作图作出点
;
(3)直接写出点
的坐标为________.
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2020/12/4/2606661954404352/2610191471345664/STEM/314644ec-8ff5-411a-9ac4-a3e1574d554b.png?resizew=292)
(1)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb026064f722ee4bfd7ffd84551306da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(3)直接写出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2020-12-09更新
|
259次组卷
|
8卷引用:黑龙江省哈尔滨市五常市2020-2021学年八年级上学期期末数学试题
黑龙江省哈尔滨市五常市2020-2021学年八年级上学期期末数学试题【校级联考】黑龙江省鸡东县2018-2019学年八年级上学期期末考试数学试题黑龙江省哈尔滨市第三十五中学校2019-2020学年八年级上学期期中数学试题(已下线)黑龙江省哈尔滨市虹桥中学2020-2021学年八年级上学期11月月考数学试题黑龙江省哈尔滨市道里区虹桥初级中学校2020-2021学年八年级上学期12月月考数学试题黑龙江省哈尔滨市南岗区第四十七中学2022-2023学年度八年级上学期9月月考数学(五四制)学情反馈试卷内蒙古奈曼旗教科体局义务教育联盟初中二区2019-2020学年八年级上学期期中数学试题2019年浙江省杭州市江干区实验中学中考数学三模试卷
17-18八年级下·湖北·期中
名校
6 . 如图,在菱形ABCD中,AB=6,∠ABC=60°,M为AD中点,P为对角线BD上一动点,连接PA和PM,则PA+PM的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/baab5afc-6289-4017-9a62-a71ebee4bff0.png?resizew=145)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/baab5afc-6289-4017-9a62-a71ebee4bff0.png?resizew=145)
A.3 | B.2![]() | C.3![]() | D.6 |
您最近一年使用:0次
2019-01-02更新
|
850次组卷
|
14卷引用:黑龙江省齐齐哈尔市昂昂溪区2020-2021学年八年级下学期期末数学试题
黑龙江省齐齐哈尔市昂昂溪区2020-2021学年八年级下学期期末数学试题江西省南昌市校际联盟2020-2021学年八年级下学期期考试数学试题四川省达州市达州中学2021-2022学年九年级上学期期中数学试题(已下线)人教版2018-2019学年八年级下册期中综合测评数学试题湖北省武汉市江岸区七一华源中学2019-2020学年八年级下学期3月月考数学试题山西省大同市浑源县2019-2020学年八年级下学期期末数学试题山西省大同市灵丘县2019-2020学年八年级下学期期末数学试题湖北省襄阳市樊城区太平店中学2018—2019学年八年级数学第三次月考试题数学试题河南省漯河市郾城区2021-2022学年八年级下学期期中数学试题甘肃省平凉市庄浪县2021-2022学年八年级下学期期中数学试题河北省廊坊市香河县第四中学2021-2022学年八年级下学期期中数学试题山东省临沂市兰山区2022-2023学年八年级下学期期中数学试题四川省绵阳市江油市八校联考2023-2024学年九年级上学期开学数学试题甘肃省平凉市庄浪县南湖中学2021-2022学年八年级下学期期中考试数学试题
7 . 没有上盖的圆柱盒高为10cm,周长为32cm,点A距离下底面3cm.一只位于圆柱盒外表面点A处的蚂蚁想爬到盒内表面对侧中点B处.则蚂蚁需要爬行的最短路程的长为_________ cm.
![](https://img.xkw.com/dksih/QBM/2014/9/4/1573748814864384/1573748820385792/STEM/43f7861f8c284dea8a66546e47944733.png?resizew=91)
您最近一年使用:0次
2016-12-05更新
|
1657次组卷
|
3卷引用:黑龙江省齐齐哈尔富拉尔基区2020-2021学年八年级下学期期末考试数学试题