1 . 如图,在正方形
中,对角线
交于点O,E是边
的中点,连接
,分别交
于点P,Q,过点P作
交
的延长线于点F.下列结论:①
;②
;③若四边形
的面积为4,则正方形
的面积为36;④
.其中结论正确的序号有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/f8ac0546-efad-4255-8f7a-2af663103768.png?resizew=133)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989c75a3fd02e4971cab421c88de92f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6e71a49b84b4764dc11982251457e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5168335544ab74e8107b46ab5b7ec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c66902c5f7d00de2e4ba9ccfcfd759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d383113c73c10c13c88a22df2f31a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e9fc260122d04a1b0df2cd0ce606b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60511f5b428828623838f00bac87cee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c9aaaab6c4fe9d525278ad6e67570c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/f8ac0546-efad-4255-8f7a-2af663103768.png?resizew=133)
A.①②③④ | B.①②③ | C.③④ | D.①②④ |
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3卷引用:黑龙江省鸡西市2022-2023学年九年级上学期数学综合练习大考卷(期末考试)
黑龙江省鸡西市2022-2023学年九年级上学期数学综合练习大考卷(期末考试) 黑龙江省鸡西市2022-2023学年九年级上学期期末数学试卷 (已下线)专题06 相似图形与相似三角形(十一种考法)-【好题汇编】备战2023-2024学年九年级数学上学期期末真题分类汇编(北师大版)
名校
2 . 如图,在
中,
,点
是边
上一点,以
为直径的
与
交于点
,连接
并延长交
的延长线于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/26/d598f686-bcc9-4e48-b214-37780246f924.png?resizew=122)
(1)求证:
为
的切线;
(2)若
,
,求
的半径的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.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/7277733875645851ba19f488fc21415d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/26/d598f686-bcc9-4e48-b214-37780246f924.png?resizew=122)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3362a45b72536c714c5107b0ae94f1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734f6e7783b0e104fc06b01f77af990f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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|
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9卷引用:黑龙江省齐齐哈尔市建华区2022-2023学年九年级上学期期末数学试卷
3 . 如图,四边形
是平行四边形,
为
延长线上一点,连接
交
于
,且
.
![](https://img.xkw.com/dksih/QBM/2023/2/21/3179744811630592/3181404741156864/STEM/76d6fe4e3b82477e9b273b6f9cbcb733.png?resizew=195)
(1)求证:
;
(2)若
,
,求
的长.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.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/2b2926ebcc070acc6e77b0f759b53239.png)
![](https://img.xkw.com/dksih/QBM/2023/2/21/3179744811630592/3181404741156864/STEM/76d6fe4e3b82477e9b273b6f9cbcb733.png?resizew=195)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c68633973229c994b0f4fceb0ab245.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49437f474e5805688dff21ded2d1fd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/620fd368efb51a5ae90c0f3e276704d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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2卷引用:黑龙江省齐齐哈尔市建华区2022-2023学年九年级上学期期末数学试卷
4 . 如图,正方形
中,
,
为
中点,
交
于点
,则线段
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/0a2b4e94-338d-4319-a0e2-16e85fb2e144.png?resizew=88)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/0a2b4e94-338d-4319-a0e2-16e85fb2e144.png?resizew=88)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 如图,已知正方形
中,点
是
上的一个动点,
交
于点
,以
,
为边作矩形
,若
,则线段
的最大值是____________ .
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992a19339adac3a2f1aab1fbc11b1c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/0c7812a0-138e-4c2b-9428-ebfbc35c1bae.png?resizew=106)
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6 . 如图,在
中,点
在
上,若点
为
的中点,则
与
的面积比为( )
![](https://img.xkw.com/dksih/QBM/2023/2/19/3178004807794688/3179027339558912/STEM/f68ba2e4df8145aaaaf39017c9c0ef01.png?resizew=163)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999c42a021bdc576f097246b9e64d986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7ad41b36674fd6e90176ee24cdefbb.png)
![](https://img.xkw.com/dksih/QBM/2023/2/19/3178004807794688/3179027339558912/STEM/f68ba2e4df8145aaaaf39017c9c0ef01.png?resizew=163)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
7 . 如图,点G、F分别是
的边
、
上的点,
的延长线与
的延长线相交于点A,
交
于点E,则下列结论错误的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/67935a98-8e1f-46e1-8896-22ea23ff2df9.png?resizew=121)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436f108fd4921dae15ecff19270237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9b798a71ae94839e1ebb0a644202e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/67935a98-8e1f-46e1-8896-22ea23ff2df9.png?resizew=121)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-02-09更新
|
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25卷引用:【区级联考】黑龙江省哈尔滨市松北区2019届九年级上学期期末调研测试数学试题
【区级联考】黑龙江省哈尔滨市松北区2019届九年级上学期期末调研测试数学试题【区级联考】黑龙江省哈尔滨市松北区2018-2019学年人教版五四学制九年级(上)期末数学试题2017届黑龙江尔滨四十七中九年级开学考试数学试卷黑龙江省哈尔滨市156中学2019-2020学年九年级上学期期中数学试题黑龙江省哈尔滨市第一五六中学2019-2020学年九年级上学期期中数学试题黑龙江省哈尔滨工大附中2019-2020学年九年级上学期9月月考数学试题黑龙江省哈尔滨市49中2019-2020学年九年级下学期开学阶段线上测试(数学)试题2021年黑龙江省哈尔滨市松北区初中升学调研测试(二模) 数学试卷山东省泰安市岱岳区2020-2021学年八年级下学期期末数学试题2022年黑龙江省哈尔滨市南岗区中考数学模拟练习试题湖南省娄底市娄星区2021-2022学年九年级上学期期末数学试题黑龙江省哈尔滨市南岗区松雷中学2021-2022学年九年级下学期模拟测试(二)数学(五四制)试卷安徽省合肥市寿春中学2017-2018学年九年级上学期第二次阶段考试数学试卷北师大版九年级上册数学全册综合测试题一2017-2018学年浙江省金华市义乌市稠州中学九年级(上)第一次月考数学试卷山东省青岛39中2019届九年级第一学期北师大版数学上第四章图形的相似周末自主测评试卷北师大版九年级数学上册第四章图形的相似第2节《平行线分线段成比例》课时练习(已下线)沪科版2021-2022学年九年级数学上册第22章 相似形专题07 相似三角形的判断和性质(专题强化-提高)广西壮族自治区崇左市宁明县2021-2022学年九年级上学期期中数学试题(已下线)专题27.26 《相似》全章复习与巩固(巩固篇)(专项练习)-2021-2022学年九年级数学下册基础知识专项讲练(人教版)(已下线)专题27.35 相似三角形几何模型-AX型图(专项练习)-2021-2022学年九年级数学下册基础知识专项讲练(人教版)(已下线)专题4.9 平行线分线段成比例(巩固篇)(专项练习)-2022-2023学年九年级数学上册基础知识专项讲练(北师大版)(已下线)专题27.10 由平行线截得的比例线段(巩固篇)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(人教版)(已下线)专题6.9 由平行判断成比例的线段(巩固篇)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(苏科版)辽宁省沈阳市苏家屯区五校2023-2024学年九年级上学期期中数学试题
名校
8 . 如图,点A的坐标为
,点B的坐标为
,点C的坐标为
,点D在线段
上,以点D为圆心,
为半径作
,且
与
的一条直角边和斜边相切,则x的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e705301752424a492f6277ed7774e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e00c277c72f7fc2a169a89200840987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c72c070f4f4d2b44927391b59a1e755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c72c070f4f4d2b44927391b59a1e755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/17/8913c246-417f-4790-8fcb-2efdf0f8bd82.png?resizew=211)
您最近一年使用:0次
2023-01-16更新
|
69次组卷
|
3卷引用:黑龙江省七台河市勃利县2023-2024学年九年级上学期期末数学试题
名校
9 . 如图,
中,
于D,一定能确定
为直角三角形的条件的个数是( )
①
,②
,③
,④
,⑤
.
![](https://img.xkw.com/dksih/QBM/2023/1/7/3147501178617856/3148394942070784/STEM/0aafe757fb204eb2b9e2492de0b10b12.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91bb3e5212857c1a099b9cb7f9a6af38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e5db82313832d1f8c4738abf02571d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea05d9aab649433d317e1c7b33e5450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3949862f76007e1d21a3a12f4dc11ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318e9ee4149237218f95a9b252162ddb.png)
![](https://img.xkw.com/dksih/QBM/2023/1/7/3147501178617856/3148394942070784/STEM/0aafe757fb204eb2b9e2492de0b10b12.png?resizew=166)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2023-01-08更新
|
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2卷引用:黑龙江省大庆市靓湖学校2022-2023学年九年级下学期期末数学试题
10 . 如图,
与
相切于点C,
经过
上的点D,
交
于点
,
,
是
的直径.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/af831352-9e15-4434-837d-a1f23e51513b.png?resizew=157)
(1)求证:
是
的切线;
(2)当
,
时,求
的半径长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b493086f1c3951377e5ae840589f506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/af831352-9e15-4434-837d-a1f23e51513b.png?resizew=157)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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4卷引用:黑龙江省龙江县育英学校2022-2023学年九年级上学期期末数学试卷
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