1 . 已知,如图,
与
相交于点O,
,
,求证:
.
![](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/1393308bc68322f50fa29702dd412263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d2530e7023b2345c651e8f53629ff1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/28/4c72b8e3-2e80-481a-b190-e1faf8b64d35.png?resizew=198)
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2卷引用:山东省淄博市桓台县2022-2023学年七年级下学期期末数学试题
2 . 如图,
中,
,
,
,正
的顶点
、
、
分别在边
、
、
上,若
,则
的周长为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb7d10ba2dbb67cf7d151206603fad9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4300aefd67369742e2b1ddcdc02dd495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3ee061bc43b327214ea7981a25137c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0a5f97d67accee691a10b687c7c1ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0436efefa53aad714565ab2ba7ff90fa.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/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7104d28b8e3fa7152c2e771116ea118c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0436efefa53aad714565ab2ba7ff90fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/29/5d89a8f1-a501-42c3-97de-90eda3d1a827.png?resizew=221)
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名校
3 . 如图,已知点M是
的中点,
是过点M的一条直线,且
,垂足分别为点E,F.
;
(2)猜想
与
之间的数量关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb9aba440735000b3bdfc9cf3b79da1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c0fa2542f8508f977a5b9eca07b876.png)
(2)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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741次组卷
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8卷引用:北京一零一中学2021-2022学年七年级上学期期末数学试卷
北京一零一中学2021-2022学年七年级上学期期末数学试卷(已下线)专题强化训练二 全等三角形的判断和性质各类问题-2022-2023学年七年级数学下册《考点·题型·技巧》精讲与精练高分突破系列(北师大版)鲁教版(五四制)数学七年级上册第一章 三角形单元检测北京市朝阳区北京中学2021-2022学年七年级上学期期末数学试题辽宁省丹东市振兴区2023-2024学年七年级下学期5月期中考试数学试题陕西省渭南市韩城市2023-2024学年八年级上学期第一次月考数学试题北京市第十三中学分校2023-2024学年八年级上学期期中数学试题陕西省渭南市潼关县2023-2024学年八年级上学期第一次月考数学试题
4 . 如图,某市新开发了一个旅游景点,湖心有一个小岛
,现需要在湖心小岛
上修建一个度假村,因此要测量景点
与
的距离.设计人员拟出下列方案:画出
,射线
与射线
交于点
,于是只需量出
的长,就知道
的长.这个方法可行吗?根据是什么?你还能设计出其他方案吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a8c52b5cfdd5baea758d2e62c4066e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a929fca455b19682d2a26ecc302123d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6d50515fc65885d44cd6a3c41e6a7e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/17/61e25b29-3184-4c93-b1c7-75097232c5f9.png?resizew=106)
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名校
5 . 如图,在
中,
是
边上的高,
是
边上的高,且
交于点F.若
,则线段
的长度为________ .
![](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/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba83afe4ade6624b283331a18bdf2ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19894a53f23dcc6762d5228a51fc305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/d993faec-64d7-43bc-ad73-aae694bea2f4.png?resizew=124)
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26卷引用:北师大版七年级数学下册:第4章达标检测卷
北师大版七年级数学下册:第4章达标检测卷黑龙江省大庆市肥东县第四中学2020-2021学年七年级上学期期末数学试题(已下线)专题5.5 期末考前必做30题(填空题提升版)-2020-2021学年七年级数学下学期期末专项复习(北师大版)北师大版2019-2020学年七年级下册 第4章 三角形单元测试(B卷提升卷)数学试题(已下线)第十四章 三角形(提高卷)-2020-2021学年七年级数学下学期期末专项复习(沪教版)山东省济南市济阳区竞业园学校2021-2022学年七年级下学期期末数学试题山东省泰安市东平县2022-2023学年七年级上学期期中数学试题(已下线)第四章 三角形(单元测试)-2022-2023学年七年级数学下册同步精品课堂(北师大版)鲁教版(五四制)数学七年级上册第一章 三角形单元检测浙江省杭州市余杭区2020-2021学年八年级10月质量检测数学试题黑龙江省大庆市肇州县第一中学2020-2021学年八年级上学期期末数学试题 云南省梁河县第一中学2021-2022学年八年级上学期10月月考数学试题陕西省延安市富县2021-2022学年八年级上学期第一阶段数学试题浙江省舟山市普陀区普陀第二中学2021-2022学年八年级上学期期末数学试题山东省滨州市阳信县实验中学2022-2023学年八年级上学期10月月考数学试题(已下线)专题2.13 直角三角形(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(浙教版)广西壮族自治区钦州市第四中学2022-2023学年八年级上学期10月月考数学试题河南省南阳市宛城区实验中学2022-2023学年八年级上学期第二次月考数学试题云南省普洱市第一中学2022-2023学年八年级下学期开学摸底考试数学试题山东省滨州市博兴县2022-2023学年八年级上学期期末数学试题(已下线)第07讲 AAS,HL证全等及角平分线的性质-【暑假自学课】2023年新八年级数学暑假精品课(人教版)(已下线)第09讲 与全等三角形有关的计算和角的证明与计算-【暑假自学课】2023年新八年级数学暑假精品课(人教版)第十三章 全等三角形 13.3 全等三角形的判定冀教版八年级上册课后作业内蒙古自治区呼和浩特市2023-2024学年八年级上学期9月月考数学试题江苏省宿迁市泗洪县2023-2024学年八年级上学期期中数学试题广东省湛江市霞山区海宁学校2023-2024学年八年级上学期期中数学试题
6 . 如图所示,在
中,
,
,
为
边上的中点,
于点
,
交
的延长线于点
,求证:
是等腰直角三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.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/497846628a41a9bc750a645e045afb47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f572de8798c6eb993ede7606cf7402e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e64c953aaf341e772a5fe776fbc78a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/c0d972b3-80f4-414b-bd02-4f86d29906b2.png?resizew=213)
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7 . 已知:如图,四边形
中,
,
.试说明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f1400396afd4d76b394aebe8d1ad06.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/42ddf2ae-99f4-4f32-9368-e22bd3111f7f.png?resizew=161)
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211次组卷
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4卷引用:鲁教版(五四制)七年级数学上册 第一章 三角形 单元测试题
8 . 如图,在
中,点D在边
上,
,垂足分别为E,F.
![](https://img.xkw.com/dksih/QBM/2023/5/11/3235649318526976/3237812425834496/STEM/080d2e685f4d49eda70925420960e69a.png?resizew=476)
(1)如图①请你添加一个条件,使
,你添加的条件是______,并证明
;
(2)如图②,
为
的平分线,当有一点G从点D向点A运动时,
,垂足分别为E,F,这时,
是否垂直于
?
(3)如图③,
为
的平分线,当点G在线段
的延长线上运动时,其他条件不变,这时,
是否垂直于
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da12272f84005c2e15aa7c43958b4f96.png)
![](https://img.xkw.com/dksih/QBM/2023/5/11/3235649318526976/3237812425834496/STEM/080d2e685f4d49eda70925420960e69a.png?resizew=476)
(1)如图①请你添加一个条件,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b731c2724383ea2a4432ef5ef06caf8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b731c2724383ea2a4432ef5ef06caf8b.png)
(2)如图②,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f0f70379db120637689527da4b8209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(3)如图③,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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9 . 如图,将两个三角形纸板
和
的顶点
叠合在一起,经测量
,
,
,试说明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5cc2450dc300ce26b513c2abae28cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fd85cff10e8f192cfe0b0a8b2f4996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5adc18ca424552b35ab939e9d57943e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/28/35579077-a119-4cc7-aee2-21d86678305a.png?resizew=189)
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10 . 如图,在
中,
,
,D为线段
上一动点(不与点B,C重合),连接
,作
,
交线段
于点E,以下四个结论:①
;②当D为
的中点时,
;③当
为等腰三角形时,
;④当
时,
,其中正确的有________ .(填序号)
![](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/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9608cad892644b4094ed6438b69572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebd95e4e02ded19f5c0a8de71c27ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115d56f2dca3e53ef6db9761cfef7f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4dbea6a5faecdd8f6c06cf9fd43a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
![](https://img.xkw.com/dksih/QBM/2023/5/11/3235649318526976/3237812425228288/STEM/5f8013ebe054417bbd1f1f2055a55856.png?resizew=189)
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