真题
1 . 如图,D是以AB为直径的⊙O上一点,过点D的切线DE交AB的延长线于点E,过点B作BC⊥DE交AD的延长线于点C,垂足为点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/815e45c8-6671-43f7-82c8-6599f07336b7.png?resizew=210)
(1)求证:AB=CB;
(2)若AB=18,sinA=
,求EF的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/815e45c8-6671-43f7-82c8-6599f07336b7.png?resizew=210)
(1)求证:AB=CB;
(2)若AB=18,sinA=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb84f6fbac102ccf326b2223d69cb7cc.png)
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3卷引用:2022年贵州省铜仁市中考数学真题
真题
2 . 如图,在边长为2的正方形ABCD中,点E为AD的中点,将△CDE沿CE翻折得△CME,点M落在四边形ABCE内.点N为线段CE上的动点,过点N作NP//EM交MC于点P,则MN+NP的最小值为________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/13/c0af720b-42f4-41a7-ae15-da811d5d3ba5.png?resizew=154)
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8卷引用:2022年贵州省铜仁市中考数学真题
2022年贵州省铜仁市中考数学真题(已下线)专题15 图形变换(平移、旋转、对称)-2022年中考数学真题分项汇编(全国通用)(第2期)山东省济南市市中区2022-2023学年九年级上学期期中数学试题(已下线)第二十七章 相似(B卷·学霸加练卷,难度★★★★★)-【单元测试】2022-2023学年九年级数学下册分层训练AB卷(人教版)2023年贵州省铜仁市万山区中考一模数学试题(已下线)第四节 图形的折叠02小题测2023年江苏省徐州市树人初级中学中考中考二模数学试题四川省成都市高新实验中学2022-2023学年九年级下学期3月份月考数学试题
真题
3 . 如图,若抛物线
与x轴交于A、B两点,与y轴交于点C,若
.则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/cbc82831-937a-4e74-9c7a-7fc557751783.png?resizew=180)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1656492973209657d866a98e3b015e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/cbc82831-937a-4e74-9c7a-7fc557751783.png?resizew=180)
A.![]() | B.![]() | C.![]() | D.![]() |
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13卷引用:2022年贵州省铜仁市中考数学真题
2022年贵州省铜仁市中考数学真题(已下线)专题09 二次函数-2022年中考数学真题分项汇编(全国通用)(第2期)(已下线)第二十二章 二次函数(B卷·能力提升练)-【单元测试】2022-2023学年九年级数学上册分层训练AB卷(人教版)(已下线)二次函数的图象与性质01技法提炼(已下线)二次函数的实际应用01技法提炼2023年福建省三明市永安市中考一模数学试题(已下线)黄金卷6-【赢在中考·黄金8卷】备战2023年中考数学全真模拟卷(陕西专用)2023年四川省泸州市泸县中考二模数学试题(已下线)专题17二次函数与方程、不等式(优选真题60道)-学易金卷:三年(2021-2023)中考数学真题分项汇编【全国通用】河北省石家庄市第四十四中学2022-2023年九年级下学期开学考试数学试题(已下线)2023年福建一模(二次函数综合)山东省淄博市临淄区2023-2024学年九年级上学期期末数学试题2024年广东省阳江市阳春市中考一模数学试题
真题
4 . 探究与实践
“善思”小组开展“探究四点共圆的条件”活动,得出结论:对角互补的四边形四个顶点共圆.该小组继续利用上述结论进行探究.
提出问题:
如图1,在线段
同侧有两点
,
,连接
,
,
,
,如果
,那么
,
,
,
四点在同一个圆上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/62944a57-9ea7-4ef5-bba8-c5734d4aab69.png?resizew=136)
探究展示:
如图2,作经过点
,
,
的
,在劣弧
上取一点
(不与
,
重合),连接
,
则
(依据1)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/41dc252b-b9a1-4e43-9a45-5789b1d40fb3.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8826527c10e6d04009ca7f3313163d34.png)
点
,
,
,
四点在同一个圆上(对角互补的四边形四个顶点共圆)
点
,
在点
,
,
所确定的
上(依据2)
点
,
,
,
四点在同一个圆上
(1)反思归纳:上述探究过程中的“依据1”、“依据2”分别是指什么?
依据1:__________;依据2:__________.
(2)图3,在四边形
中,
,
,则
的度数为__________.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/17ce3ed3-87d4-4246-b211-3e612f0a8911.png?resizew=158)
(3)拓展探究:如图4,已知
是等腰三角形,
,点
在
上(不与
的中点重合),连接
.作点
关于
的对称点
,连接
并延长交
的延长线于
,连接
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/14db9254-d49d-4255-84aa-68775757d6a7.png?resizew=182)
①求证:
,
,
,
四点共圆;
②若
,
的值是否会发生变化,若不变化,求出其值;若变化,请说明理由.
“善思”小组开展“探究四点共圆的条件”活动,得出结论:对角互补的四边形四个顶点共圆.该小组继续利用上述结论进行探究.
提出问题:
如图1,在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/c4fd85cff10e8f192cfe0b0a8b2f4996.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/62944a57-9ea7-4ef5-bba8-c5734d4aab69.png?resizew=136)
探究展示:
如图2,作经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c193e68966879232ca0c83281bfd32.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/41dc252b-b9a1-4e43-9a45-5789b1d40fb3.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba51168da9382b9e573fcc4a88b6268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8826527c10e6d04009ca7f3313163d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)反思归纳:上述探究过程中的“依据1”、“依据2”分别是指什么?
依据1:__________;依据2:__________.
(2)图3,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8889aad264f6d356c3f8bebe7d92e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4c3c0a34dc21292fa32befd58d8f82.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/17ce3ed3-87d4-4246-b211-3e612f0a8911.png?resizew=158)
(3)拓展探究:如图4,已知
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/14db9254-d49d-4255-84aa-68775757d6a7.png?resizew=182)
①求证:
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e52911a1ce4e7aab20151eb49322cd.png)
您最近一年使用:0次
2022-06-30更新
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1424次组卷
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6卷引用:2022年贵州省遵义市中考数学真题
2022年贵州省遵义市中考数学真题(已下线)专题20 与圆相关的压轴题-2022年中考数学真题分项汇编(全国通用)(第2期)(已下线)2023年贵州省中考数学真题变式题22-25题(已下线)第一节 圆的性质及其证明与计算03综合测2023年山西省朔州市怀仁市中考一模数学试题(已下线)24.4(培优课)辅助圆、隐圆(题型精讲精练)-【题型分类精粹】2023-2024学年九年级数学上学期期中期末复习讲练系列【考点闯关】(人教版)
真题
名校
5 . 如图,在
中,
,点P为
边上任意一点,连接
,以
,
为邻边作平行四边形
,连接
,则
长度的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d0c819e913ae45d87a1898257e8e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ad4b3ceabdb40c90dcbe33b1113fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
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2278次组卷
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20卷引用:2022年贵州省毕节市中考数学真题
2022年贵州省毕节市中考数学真题(已下线)2022年贵州省毕节市中考真题数学(填选)(已下线)专题11 平行四边形与特殊的平行四边形-2022年中考数学真题分项汇编(全国通用)(第2期)陕西省西安市高新一中2022~2023学年九年级上学期10月月考数学试题(已下线)第27章相似02练基础(已下线)第二十七章 相似(B卷·学霸加练卷,难度★★★★★)-【单元测试】2022-2023学年九年级数学下册分层训练AB卷(人教版)(已下线)平行四边形与多边形03综合测(已下线)黄金卷7-【赢在中考·黄金8卷】备战2023年中考数学全真模拟卷(广西新中考专用)2023年江苏省淮安市淮安区中考一模数学试题(已下线)专题25平行四边形的性质与判定(优选真题60道)-学易金卷:三年(2021-2023)中考数学真题分项汇编【全国通用】山东省济宁市汶上县2022-2023学年八年级下学期期末数学试题辽宁省鞍山市岫岩满族自治县2022-2023学年九年级下学期3月月考数学试题四川省内江市威远县凤翔中学2023-2024学年九年级上学期期中数学模拟试题陕西省宝鸡市陈仓区虢镇初级中学2023-2024学年九年级上学期期中数学试题山东省济宁市鱼台县2023-2024学年九年级上学期期末数学试题山东省济宁市曲阜市2023-2024学年九年级上学期期末数学试题2024年内蒙古包头市中考数学模拟试题2024年江苏省淮安市淮安经济技术开发区九年级中考数学模拟试题2024年四川省成都市成华区中考二诊数学试题2024年山东省滨州市初中学业水平考试数学模拟试题(三)
真题
名校
6 . 如图,折叠边长为4cm的正方形纸片
,折痕是
,点
落在点
处,分别延长
、
交
于点
、
,若点
是
边的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cf3f9a01a810792ebacc7f5bc70e97.png)
______ cm.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cf3f9a01a810792ebacc7f5bc70e97.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/55521000-8345-47b0-a482-5be7cde5a7e8.png?resizew=166)
您最近一年使用:0次
2022-06-27更新
|
1525次组卷
|
19卷引用:2022年贵州省黔东南州中考数学真题
2022年贵州省黔东南州中考数学真题(已下线)2022年江西省数学模拟试题(已下线)专题13 相似三角形-2022年中考数学真题分项汇编(全国通用)(第2期)(已下线)专题07 几何图形的性质-5年(2018-2022)中考1年模拟数学分项汇编(江西专用)(已下线)第四节 图形的折叠03综合测(已下线)第四节 图形的折叠01技法提练(已下线)(培优特训)专项9.5 特殊平行四边形折叠综合应用-2022-2023学年八年级数学下册《同步考点解读·专题训练》(苏科版)山东省德州市庆云县后张中学2022-2023学年九年级下学期第一次月考数学试题(已下线)黄金卷2-【赢在中考·黄金8卷】备战2023年中考数学全真模拟卷(沈阳专用)(已下线)黄金卷02-【赢在中考·黄金8卷】备战2023年中考数学全真模拟卷(云南专用)(已下线)专题03正方形的性质与判定(3个知识点8种题型1个易错点中考2种考法)-【帮课堂】2023-2024学年九年级数学上册同步学与练(北师大版) 广东省深圳市光明区勤诚达学校2023-2024学年九年级上学期月考数学试题(已下线)期中复习与测试(1)(第1-4章)-2023-2024学年九年级数学上册基础知识专项突破讲与练(北师大版)陕西省西安市雁塔区陕西师范大学附属中学2023-2024学年八年级上学期期末数学试题(已下线)第1章 三角形的证明(单元测试·拔尖卷)-2023-2024学年八年级数学下册基础知识专项突破讲与练(北师大版)2023年内蒙古兴安盟乌兰浩特市第五中学中考模拟数学模拟试题(已下线)专题03 勾股定理与几何折叠问题专项训练-【好题汇编】2023-2024学年八年级数学下学期期中真题分类汇编(广东专用)2024年安徽省徐州市第七中学中考二模数学试题2024年陕西省西安市新城区中考模拟数学试题
7 . 如图,
和
是有公共顶点的直角三角形,
,点F为射线
,
的交点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/6/419c82b4-2eb0-4ea8-b011-e3a7c370dcb5.png?resizew=612)
(1)如图1,若
和
是等腰三角形,求证:
;
(2)如图2,若
,问:(1)中的结论是否成立?请说明理.
(3)在(1)的条件下,AB=8,AD=6,若把
绕点
旋转,当
时,请直接写出FB的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c9a77f3dcaacefe3ee0a64ddf7f73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26813466e2ee49a493881a4384fc8748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/6/419c82b4-2eb0-4ea8-b011-e3a7c370dcb5.png?resizew=612)
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c9a77f3dcaacefe3ee0a64ddf7f73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571ffae2f77df57a8e121fdb1ec02bb5.png)
(2)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8958c0563f1924b6f7cc9bc8555a8178.png)
(3)在(1)的条件下,AB=8,AD=6,若把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c9a77f3dcaacefe3ee0a64ddf7f73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c65319e9026d1db4d468f69fd8f9ff.png)
您最近一年使用:0次
8 . 【问题探究】
数学实践小组的同学利用一张宽
的矩形纸片
进行了如下的操作写探究:
第一步:如图1,将该矩形纸片
沿过点D的直线折叠,使点A落在
上的点
处,得到折痕
,然后把纸片展平.
第二步:如图2,将图1中的矩形纸片
沿过点E的直线折叠,使点C恰好落在
上的点
处,点B落在点
处,得到折痕
,
交
于点M,
交
于点N,再把纸片展平.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/27/92461c98-e5a3-4bb9-8ad0-0ddff2fd50b9.png?resizew=541)
(1)【问题解决】
如图1,填空:四边形
的形状是__________.
(2)如图2,小明连接了
,E两点,发现线段
写
是相等的.
①请帮助小明写出证明过程;
②如图2,若
,求
的值.
(3)【问题延伸】如图3,若该矩形纸片的长
,点Q在
边上,且
,P是
边上的动点(不与点A,B重合).现将纸片沿
折叠,使点B,C分别落在点
,
处.在点P从点A向点B运动的过程中,若边
与边
交于点E,则点E相应运动的路径长为__________
.
数学实践小组的同学利用一张宽
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ba841469751fbbe3bb32d8104e7ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
第一步:如图1,将该矩形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
第二步:如图2,将图1中的矩形纸片
![](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/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e737bc35da650eda3825d29799b5f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae72f1da4f5d540dc1e6f42ea08f952e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/27/92461c98-e5a3-4bb9-8ad0-0ddff2fd50b9.png?resizew=541)
(1)【问题解决】
如图1,填空:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0054610b07c11f3cb88aa87b58c2df11.png)
(2)如图2,小明连接了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199336204fbca97766bf24b1dc5fdc53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
①请帮助小明写出证明过程;
②如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7cc093590932b50a1081b3a13e38c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fd706e7e0d3f4fd3230bfb8eef4eb5.png)
(3)【问题延伸】如图3,若该矩形纸片的长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7461c64408e4aae4e73d0884182403b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1945413088e2b64eaa2282f74cd7fa0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143e346ac3950f60077291dda2be73c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af089fd292ba69ddef79e9ab1cac77ca.png)
您最近一年使用:0次
2022-06-23更新
|
248次组卷
|
2卷引用:贵州省安顺市2021-2022学年九年级下学期4月月考数学试题
9 . 如图,在菱形ABCD中,
,点E、F分别为边AB、BC上的点,且
,连接CE、AF交于点H,连接DH交AC于点O.下列结论:①
;②
;③
;④
.其中结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/6/14/3001298979209216/3002466310078464/STEM/67186adbdcb04cab90161d2aefa60c8e.png?resizew=117)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8eebda19eded2b059774a8c2666c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7755cad7aa7c2b6baf04fd99311f8c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f447a166ef2229311427900f40536b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea04efe6336c7ab27c64d35f848a079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67766e813d582d265dc132aafde2d61.png)
![](https://img.xkw.com/dksih/QBM/2022/6/14/3001298979209216/3002466310078464/STEM/67186adbdcb04cab90161d2aefa60c8e.png?resizew=117)
A.①② | B.①③④ | C.②③④ | D.①②③④ |
您最近一年使用:0次
10 . 如图,在四边形ABCD中,
,AC平分
,过点C作
交AB于点E,连接DE交AC于点F,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaaf147752bb228c8f2a801505187367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b772f3670080e6146b56d2b5673efec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bae5203f4b4acf23779114b3466e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4187a861d1c558ee70701fc501f58842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/14/78c198b4-bc68-428a-b8dc-e3f68673d162.png?resizew=189)
您最近一年使用:0次