1 . 已知下列命题:①若
,则
;②若
,则
;③等边三角形的三个内角都相等;④底角相等的两个等腰三角形全等;⑤直角三角形的两锐角互余.其中原命题与逆命题均为 真命题的是_________ .(只填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13b34c99b942b8dd2cbd88ed017de36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9cdea1e995c59e5d3225acad8b4d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a473589d5abdd504fdb110828611a.png)
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2023-05-10更新
|
136次组卷
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3卷引用: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
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山东省枣庄市滕州市2023-2024学年八年级下学期期中数学试题(已下线)第05讲 逆命题和逆定理(6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)
2 . 如图,把长方形纸片ABCD沿对角线折叠,设重叠部分为△EBD,那么下列说法:①△EBD是等腰三角形,EB=ED;②折叠后∠ABE和∠C′BD一定相等;③折叠后得到的图形是轴对称图形;④△EBA和△EDC′一定是全等三角形.错误的是__ (填序号).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/4/48d7a29c-70a9-4d4d-a855-0d792d36e4de.png?resizew=177)
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2021-10-22更新
|
277次组卷
|
4卷引用:山东省德州市第五中学2021-2022学年八年级上学期期中数学试题
3 . 如图,在
中,
是
边上的高,
,
,
,连接
,交
的延长线于点
,连接
,
,则下列结论:①
;②
;③
;④
,其中正确的有________________ (写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb818819ae6f66ffab19e732e1911c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7e48723871f06a6aeae31a2a1ff79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82622bbde299186b589262480318d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82921e42bc0dd17888224d9a40ca9eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ce5db8e3cf0c2354c778ffbc11dadc.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43dad1f58af0e8cb85dd1bfa7df597b9.png)
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4 . 如图,
,
,下列结论:①
;②
;③
;④
.其中正确的是_______ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca84044d0e1de6c7540879ed3a55bb12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e78bc3743cbd5c20b72697579c55a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df34369163e511f14028168cb0b21186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238876df963cd5e7bd91f6060d694588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab218a560aa546833e3751ee4c08be8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/3957a6f3-f0e1-42bc-a02a-ff3f055f1b8a.png?resizew=152)
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5 . 如图,正方形纸片
,点P为
边上的一点(不与点A点D重合),将正方形纸片沿
折叠,使点B落在P处,点C落在G处,
交
于H,连结
,下列结论:①
;②
;③当
时,
;④
的周长是个定值.其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0029280333629c5a327fe4a508e44edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff016d75bc158fdb57bba336f7c8c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1f3216eb9e3c20cfdbbccfb5e88e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac520bfd2de3e353f37d0dfcbc4dd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a15bd57e58328a9d2a8662d803addc.png)
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6 . 如图,现有边长为
的正方形纸片
,点
为
边上的一点
不与点
点
重合
,将正方形纸片沿
折叠,使点
落在
处,点
落在
处,
交
于
,连结
、
,下列结论:
;
当
为
中点时,
三边之比为
:
:
;
;
周长等于
.其中正确的是______
写出所有正确结论的序号
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe40405cd7bd60d69dd535d6da85c00.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41303e533f15992479836083021e2dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcf82de7c0c5c1239817ed5ee34b45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
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2024-04-17更新
|
276次组卷
|
2卷引用:2023年山东省济南市中考数学三模模拟试题
7 . 如图,点
在边长为2正方形
的边
上(且点
不与点
重合),线段
是线段
绕着点
顺时针旋转
得到,连接
,有下列结论:①
;②
;③
;其中正确结论的序号是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e912cfe3d01592489e0ad084e5be41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4adaef7e7b430e58c519aed74904cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4cdaf54255866a6665166d174ae6b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e4c7de15f646a108f8eda8ae824112.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/ef32690f-9088-45d7-adbb-3916e6a31b25.png?resizew=146)
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2024八年级下·山东·专题练习
8 . 如图,现有边长为4的正方形纸片
,点P为
边上的一点(不与点A点
重合)将正方形纸片沿
折叠,使点B落在P处,点
落在G处,
交
于
,连结
、
,下列结论:
;②当P为
中点时,
三边之比为
;③
;④
周长等于8.其中正确的是______ (写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0029280333629c5a327fe4a508e44edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe40405cd7bd60d69dd535d6da85c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d44d5798d856568f7f6e5e91269ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff016d75bc158fdb57bba336f7c8c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a15bd57e58328a9d2a8662d803addc.png)
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9 . 如图,已知
中,
,
,点
为
中点,直角
绕点
旋转,
,
分别与边
,
交于
,
两点,下列结论:①
是等腰直角三角形;②
;③
;④
;其中正确的是______ .(把所有正确结论的序号都填上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a54e7b35c73ee578c4d01479ddb74cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5201bac95762b1e67c65a99f1ce040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14352685ad95300e9fa9471021d22944.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/d2c4903b-4010-489d-8692-0085898ff271.png?resizew=154)
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10 . 如图,在
中,
,将
绕点
按顺时针方向旋转
,得到
,
交
于点
分别交
于点
.下列结论:①
;②
;③
;④
.其中正确的是______ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/19/624e08b0-8007-48b2-ac46-ec73f58ab74a.png?resizew=220)
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