1 . 如图,在
中,
,
,
,
为
上一动点,
于点
,
于点
,
是
的中点,
在运动过程中
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe16a90567bc8adf43d50ae8b0536cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e64f503acd02b53ac2a26b6af3b27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/11/5333c2b7-0ba8-4a5d-b16e-3e312716cba3.png?resizew=188)
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2 . 下列说法中,正确的个数有( ).
①连接直线外一点与直线上各点的所有线段中,垂线段最短;
②直线外一点到这条直线的垂线段,叫做点到直线的距离;
③对顶角相等;
④过一点有且只有一条直线与已知直线垂直;
⑤和为
的两个角互为邻补角.
①连接直线外一点与直线上各点的所有线段中,垂线段最短;
②直线外一点到这条直线的垂线段,叫做点到直线的距离;
③对顶角相等;
④过一点有且只有一条直线与已知直线垂直;
⑤和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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3 . 如图,在
中,
,
,
,点D在
上,以
为对角线的所有平行四边形
中,
最小的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d9142db4dd2ef151bf3d4a63afb61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc1cbcd6d00f0c36bad8254297d9f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/2894e236-6435-4965-ba92-3c152ab88d58.png?resizew=90)
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2023-09-22更新
|
116次组卷
|
3卷引用:黑龙江齐齐哈尔克东县2021-2022年八年级下学期期中数学试题
4 . 直线
外一点
与直线
上三点所连线段的长分别为
,则点
到直线
的距离是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff58c0cfc95c0140bb4f60f7c4efdcfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.不超过![]() | D.大于![]() |
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2023-09-11更新
|
120次组卷
|
2卷引用:黑龙江省绥化市安达市吉星岗二中2023-2024学年七年级下学期开学考试数学试题
名校
5 . 如图,在
中,
,
,
,
,P为直线
上一动点,连接
,则线段
的最小值是______ ,理由是______ .
![](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/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/6/ccee2c9b-8bbf-4892-b23f-b9cc42f1eb14.png?resizew=104)
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2023-09-06更新
|
347次组卷
|
6卷引用:黑龙江省鸡西市2022-2023学年七年级下学期期中数学试题
黑龙江省鸡西市2022-2023学年七年级下学期期中数学试题(已下线)襄阳五中华侨城实验学校2023-2024学年八年级上学期数学周测9.21(已下线)第01讲 认识三角形(8类题型)-【帮课堂】2023-2024学年八年级数学上册同步学与练(浙教版)河南省许昌市魏都区2023-2024学年八年级上学期第一次月考数学试题四川省遂宁市射洪市射洪中学校2023-2024学年七年级上学期12月月考数学试题(已下线)专题2.31 相交线与平行线中的最值问题(分层练习)(综合练)-2023-2024学年七年级数学下册基础知识专项突破讲与练(北师大版)
名校
6 . 如图,在等腰直角
中.
,
,
的平分线交
于点
,点
为
边的中点,点
和
分别是
和
上动点,则
的最小值是 ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fc2d383876afe5be1103352571805b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1883aec22e70f46eeeca945e240b044.png)
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2023-09-03更新
|
340次组卷
|
5卷引用:黑龙江省大庆市第六十九中学2023-2024学年七年级下学期期中数学试题
黑龙江省大庆市第六十九中学2023-2024学年七年级下学期期中数学试题陕西省西安交大附中2022-2023学年八年级上学期第一次月考数学试卷广西壮族自治区梧州市蒙山县2022-2023学年八年级下学期期中数学试题广西壮族自治区桂林市秀峰区第十三中学2022-2023学年八年级下学期期中数学试题(已下线)考题猜想2-1勾股定理(巧用勾股定理求最短路径的长,拓展提升)-2023-2024学年八年级数学下学期期末考点大串讲(人教版)
7 . 将军要从村庄A去村外的河边饮马,有三条路可走
,将军沿着
路线到的河边,他这样做的道理是__________________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4532ccd4d3192e17a80a990459af30ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/31/1632ef60-73a8-4406-8cd7-cc2794d04193.png?resizew=132)
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8 . 如图,点
在直线
外,点
,
在直线
上,
,
,点
到直线
的距离可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbda29fd703fd13e1bf4860d31cc5dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/2/9ccc82f9-d171-4c4a-82f3-e0b9229dce4a.png?resizew=320)
A.2 | B.4 | C.7 | D.8 |
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9 . 如图,在
中,
,
,
,点P为直线
上一点,连接
,则线段
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df049f15adb6667113ceee3a6638cd0a.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/20a541b81584a032f571159ea152c85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/2/7421c586-a0c2-46a7-8c03-8981c94218bc.png?resizew=185)
A.4 | B.![]() | C.![]() | D.![]() |
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2023-06-28更新
|
141次组卷
|
3卷引用:黑龙江省哈尔滨市巴彦县第一中学2022-2023学年八年级下学期第三次月考数学试题
10 . 如图,在
中,
,
是
的平分线且交
于点D,在
上有一点Q,在
上有一点P,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30f9b7a6123f13fa0793ead76dc651a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9d2c205d8be2d91004fdda830f6074.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/22/ae6173ad-7d1b-4e57-997f-b62a6bf1eab1.png?resizew=129)
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