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1 . 如图,已知
则下列判断不正确的是()
![](https://img.xkw.com/dksih/QBM/2020/5/18/2465591058284544/2466222548697088/STEM/cd285efad8064bc2b7abb4c12242273c.png?resizew=170)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a078495ba47076ccaa28b46f765d80.png)
![](https://img.xkw.com/dksih/QBM/2020/5/18/2465591058284544/2466222548697088/STEM/cd285efad8064bc2b7abb4c12242273c.png?resizew=170)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-24更新
|
121次组卷
|
2卷引用:2020年黑龙江省哈尔滨市初中升学考试模拟试题(五)
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2 . 学习了《四边形》后,刘老师设置了一个问题情境,供同学们讨论.
问题情境:正方形
中,点
为边
上一个动点,连接
,过点
作
交射线
于点
,连接
,点
为
的中点,连接
.
讨论
的性质及
与
的数量关系.
以下是同学们的讨论过程,请仔细阅读并完成任务:
任务:
(1)小明的理由中,
的依据是______;(填序号).
①
②
③
④
⑤![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5eb2decaa6be2df36a5e4b7fabf585d.png)
(2)请根据小亮的提示判断
与
的数量关系,并说明理由;
(3)当点
在射线
上运动时,若
,
,直接写出
的长.
问题情境:正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afaafb8e40bcb2027d345f1a98f9727f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87b2f781cafa7989d81f9bf8c42b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
以下是同学们的讨论过程,请仔细阅读并完成任务:
小明:我得出![]() 理由: ![]() ![]() ![]() ![]() ![]() 又 ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 小亮:没能求出 ![]() ![]() ![]() ![]() ![]() ![]() |
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/7/3087682f-3eb5-415f-8f5f-ca6bd9c37b0f.png?resizew=84)
任务:
(1)小明的理由中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463bf1b71caa16565063243cd428af58.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6720e36b02193db161c61d4017673760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a290f047f50481318d040c604d72f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9beb8b968744573e593ac28451c69729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4351a730f61bb998bab8f0b7848912d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5eb2decaa6be2df36a5e4b7fabf585d.png)
(2)请根据小亮的提示判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(3)当点
![](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/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44447c0867e6ba50c960f7b5bee7036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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3 . 在
中,
,
平分
交
于点
交
于点
,
交
于点
,有以下结论:①四边形
一定是平行四边形;②连接
所得四边形
一定是平行四边形;③保持
的大小不变,改变
的长度可使
成立;④保持
的长度不变,改变
的大小可使
成立,其中所有的正确结论是:________ .(填序号即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.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/a4a45d141f3e1e3f46ddc63fdc5ce68c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18574218da07c7acb52275b2a29d941b.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/2222eec085423ac1c57089962f3287f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8bdae3d30abf70515bdbd45f9d0c380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c114237f609956017bc72f4971d5b375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c114237f609956017bc72f4971d5b375.png)
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2024-03-22更新
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193次组卷
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3卷引用:北京市西城区2022-2023学年八年级下学期期末数学试题
4 . 如图,在
中,
、
、
分别为边
、
、
上的点,
,
,
分别交
、
于点
、
,且
,
,
,有下面四个结论:
①
;
②
;
③
;
④
.
其中所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/a0ed1ec316bc54c37c4286c208f55667.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/c436f108fd4921dae15ecff19270237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f081eb23d83e39c604fd0e240210559d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0565bafba84b317d92ac6855ab1c3468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86338536656046e93b53672ade9a78b3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a329bec5627bf0eb930d1406ac13e483.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1e09818a693e991973ae3fd1e4431e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474800ebdf053711a7d6b225c4d93e60.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59b3f4689179d7d1a500a9f67c0f730.png)
其中所有正确结论的序号是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/14/250a1296-3356-4f7e-96e0-6aeb8e0a4a0c.png?resizew=143)
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5 . 如图,CE是▱ABCD的边AB的垂直平分线,垂足为点O,CE与DA的延长线交于点E,连接AC,BE,DO,DO与AC交于点F,则下列结论:①四边形ACBE是菱形;②∠ACD=∠ABE;③AF:BE=1:3;④S四边形AFOE:S△COD=2:3;其中正确的结论有_____ (填写所有正确结论的序号)
![](https://img.xkw.com/dksih/QBM/2022/4/13/2957151754190848/2958098091597824/STEM/3fc75c8c-b15f-4a3a-98e3-dc4eb6eb8150.png?resizew=288)
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6 . 如图,直线CE是平行四边形ABCD的边AB的垂直平分线,垂足为点O,CE与DA的延长线交于点E.连接AC,BE,DO,DO与AC交于点F,则下列结论:
①四边形ACBE是菱形; ②∠ACD=∠BAE; ③AF:FC=1:2;
其中正确的结论有________ .(填写所有正确结论的序号)
①四边形ACBE是菱形; ②∠ACD=∠BAE; ③AF:FC=1:2;
其中正确的结论有
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/19/78cdf0ba-22f3-4c60-906a-669e126b2d97.png?resizew=239)
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2022-06-15更新
|
464次组卷
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7卷引用:2022年湖南省长沙市岳麓区长沙市长郡双语实验中学九年级下学期6月中考适应性考试数学试题
2022年湖南省长沙市岳麓区长沙市长郡双语实验中学九年级下学期6月中考适应性考试数学试题(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4.53 《图形的相似》中考常考考点专题(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27.48 《相似》中考常考考点专题(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)(已下线)专题6.51 《图形的相似》中考常考考点专题(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)
7 . 关于抛物线
,与x轴交于A、B两点(A在B左侧),给出下列4个结论:①当抛物线的顶点在y轴的正半轴上时,
;②点P在抛物线上,当符合条件
(a为常数)的点有3个时,则
;③当
时,y<0,;④已知C(0,2),D(0,4),当
取最小值时,
.其中正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87bf7d5d44659b6f87934c69147e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8493a0cd10d3d0399173c04163740a38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2b3fcd44d30504249b7a004d95967c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01281f38c1168109c2cc0542acca11b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddee3b85e72b81d302b8ec6e7db98343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4d1abc5c329a579f132c5cb97f2351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbb910dadef68ff280379c48c43b33e.png)
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2022-05-18更新
|
78次组卷
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2卷引用:2022年四川省蓬安县九年级下学期第二次诊断性考试数学试题
8 . 如图,在
ABC中,AB=AC,以AB为直径的半圆O交BC于点D,交AC于点E,连接AD、BE交于点M,过点D作DF⊥AC于点F,DH⊥AB于点H,交BE于点G:下列结论:①
CDF≌
BDH,②DG=DM,③CF=FE,④BE=2DH,其中正确结论的序号是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/60b7e09f-0620-426f-9cbe-18b357a798dd.png?resizew=158)
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2022-02-18更新
|
515次组卷
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3卷引用:广东省广州市海珠区2021-2022学年九年级上学期期末数学试题
广东省广州市海珠区2021-2022学年九年级上学期期末数学试题2022年四川省资阳市安岳县九年级第二次诊断考试数学试题(已下线)期末难点特训(三)选填压轴50道-【微专题】2022-2023学年九年级数学下册常考点微专题提分精练(人教版)
9 . 如图,已知△ABC内接于⊙O,D为
上一点,
=
,过点D作⊙O的切线,分别与AB,AC的延长线相交于点E,点F,OD与BC相交于点G,连接OC,CD,BD,则下列结论:①∠ODB+
∠DOC=90°;②∠BAC=2∠CBD;③AB⋅CF=AC⋅BE;④若∠BAC=60°,则OG=DG.其中正确的是___ (填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a45dbffe8b0637201801a89288620e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d598504bacb6e8738d38f715a48bfdc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445f118e9cf8cf1dac2351305ea0ba4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://img.xkw.com/dksih/QBM/2022/4/26/2966589032087552/2969175276486656/STEM/88525c54-b9e3-4e99-b5ac-e615d13813b5.png?resizew=174)
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2022-04-30更新
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170次组卷
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3卷引用:2022年内蒙古自治区乌海市中考一模数学试题
10 . 如图,已知AB∥CD∥EF,则下列四个结论①
;②
;③
;④
中,正确的有 ___ (填正确结论序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b2bf060a48a7461df180c55dcae4a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b724cf684a8a606ad6d859137ae16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5753aae2dbff2d84769731885cba9254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2221c08efc4cbb42e40788bad5b173.png)
![](https://img.xkw.com/dksih/QBM/2021/10/20/2833169111572480/2838234943668224/STEM/62bfbb5d-4ded-4de1-a723-59df398b4837.png?resizew=209)
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