1 . 如图,在四边形
中,
,
.点E为
边上一点,将
沿直线
折叠,使点
落在对角线
上的
处,
的延长线交直线
于点G.
![](https://img.xkw.com/dksih/QBM/2022/6/21/3012495195324416/3116043300315136/STEM/be37c687fa0f41e784d27fb9a0b6953b.png?resizew=287)
(1)求证:
;
(2)设
,
,
,探究:当四边形
为平行四边形时,
之间满足的数量关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4340375ca8abdbd6998760c944f38d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2022/6/21/3012495195324416/3116043300315136/STEM/be37c687fa0f41e784d27fb9a0b6953b.png?resizew=287)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a81a32e4046129dd74b496dfff05ed4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5228da61bed106b28849ef91a2ec116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0786732df29e599cd67cd69e5a1a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033c1db5142bd7b60b37d276577d465b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7419886f571571b57b61a6a8980305e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
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2022-11-23更新
|
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2卷引用:2020年贵州省遵义市仁怀市中考数学模拟试卷一
2 . 如图,在
中,
,
,
平分
交
于点
.若
,则AD的长是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/f2b5c4cd-2c10-4552-9143-f2897a42d360.png?resizew=151)
![](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/ee54b9b398ce80cd054b56173fe810f0.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/f2b5c4cd-2c10-4552-9143-f2897a42d360.png?resizew=151)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 如图,在
中,E是
边上一点,
,
是
的外接圆,
是
的直径,且交
于点E,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1a3efb43-e322-4262-bd68-a9a680e83a55.png?resizew=213)
(1)求证:
是
的切线;
(2)过点E作
,垂足为点H,延长
交
于点G,若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c05c8fe48c53078d7ee6b190a5fa761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2281cb6df0c3c518ce5ed19a02b57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1a3efb43-e322-4262-bd68-a9a680e83a55.png?resizew=213)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)过点E作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676991d6c2041e4da1f5e250331c6cc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16951d9a0f34b9a1437cecab1761a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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名校
4 . 如图,在正方形
中,E是
的中点,F是
上一点,
,
,则AF的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/06b2884b-004e-47fe-91ad-0de803143b1b.png?resizew=131)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/bce726bceb02452bb4e5ed6b00fa94e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3362a45b72536c714c5107b0ae94f1c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/06b2884b-004e-47fe-91ad-0de803143b1b.png?resizew=131)
A.4 | B.5 | C.6 | D.7 |
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2022-11-23更新
|
235次组卷
|
3卷引用:2020年贵州省遵义市仁怀市 中考模考数学试卷二
5 . 图形的探究中,常用三角形通过一些图形变换,将图形拼在一起,以探究其线段,角之间的关系,小李用两个三角形,
,
,
.开展如下的探究活动:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/13/d1611bcd-86dd-41db-a991-c8c7117d6dcf.png?resizew=621)
[探究1]如图1,两个三角形如图1摆放,点B在CD上时,求证:
;
[探究2]如图2,将
绕点C逆时针旋转旋转
,过点D作
交AB于点F.线段DF与AF有何数量关系?并说明理由;
[探究3]在探究2的条件下,若AB分别交CD于M,AB的延长线CE于点P(如图3),线段PM,PF,PA有何数量关系,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5adc18ca424552b35ab939e9d57943e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17101383eb0787edaaa35adfcd20d5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414dd77f2a63357f08fc8d61d611d69e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/13/d1611bcd-86dd-41db-a991-c8c7117d6dcf.png?resizew=621)
[探究1]如图1,两个三角形如图1摆放,点B在CD上时,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640454e33a4238c7d8e1c78bf6f099ca.png)
[探究2]如图2,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2598f844644c4245eb226ecca57ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974762e15695c9482f34a43ffe1c8585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ae39b21e756f6067892180b3772f10.png)
[探究3]在探究2的条件下,若AB分别交CD于M,AB的延长线CE于点P(如图3),线段PM,PF,PA有何数量关系,并加以证明.
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6 . 已知,如图,在
中,
,
,
.将
与
重合在一起,让
在边BC上以每秒1个单位长度的速度从B向C运动(不含端点),且在运动过程中满足:DE始终经过点A,EF与AC交于点G.解决下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/17/7872a79f-d8c0-4a77-823b-caadd9f5480d.png?resizew=381)
(1)求证:
;
(2)当
运动几秒时,
为等腰三角形;
(3)当线段AG最短时,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6060d9a82ed5405a1ea8cd824448b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e48b03280a9f0904ee6e6d8d72b18c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3b0b11a80e8b107e55534d7fda9f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3b0b11a80e8b107e55534d7fda9f2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/17/7872a79f-d8c0-4a77-823b-caadd9f5480d.png?resizew=381)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b70cb8061fd06c67638b47ee2215c4a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3b0b11a80e8b107e55534d7fda9f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00870385ca7f3214e2971779eb4c7904.png)
(3)当线段AG最短时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00870385ca7f3214e2971779eb4c7904.png)
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真题
7 . 如图,在四边形
中,对角线
,
相交于点
,
,
.若
,则
的面积是_______
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d63783f365e666ace307cadcaba60fa.png)
_______ 度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8143d7ce019b59a2420d4b1aa0a584ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8790a77bc3cbd12eb4c6eda8ead03a30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679372e54c59c5cf67931b12b9833e02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d63783f365e666ace307cadcaba60fa.png)
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2022-07-05更新
|
1991次组卷
|
6卷引用:2023年贵州省遵义市第五十七中学中考数学四模模拟预测题
2023年贵州省遵义市第五十七中学中考数学四模模拟预测题2022年贵州省贵阳市中考数学真题(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)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)第五节 相似三角形01技法提炼(已下线)2023年山西省中考数学真题变式题11-14题
8 . 如图1,四边形ABCD为正方形,
,
为等腰直角三角形,E在BA的延长线上,点F在AD上,
,
.如图2,将
绕点A顺时针旋转x度(
)得到
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/4/2ba71116-8aca-473a-b1bd-1a71318c0090.png?resizew=680)
(1)如图2,连接
,
,判断线段
与线段
之间的关系,并说明理由;
(2)如图3,连接
,若
,求
的最小值和最大值;
(3)如图4,直线
与直线
交于点N,连接CN,若
,求CN的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38d97f03faed3152db2fd3bd1919944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cec68a1111227d3b2aa12b291dc8216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a31e23382c3bcefe05fd80ab739bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b996be8f5f7b0b57ffa44098e17c333.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/4/2ba71116-8aca-473a-b1bd-1a71318c0090.png?resizew=680)
(1)如图2,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1757c1c535bc6255a1a1630008ae9867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf72c1aad3ca5fcd2a566c758184c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1757c1c535bc6255a1a1630008ae9867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf72c1aad3ca5fcd2a566c758184c9e.png)
(2)如图3,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ebe1dbf04aaaa91fbf239b59175ca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9450c4a8335d441b8ce90643c8de0ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ebe1dbf04aaaa91fbf239b59175ca2.png)
(3)如图4,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1757c1c535bc6255a1a1630008ae9867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf72c1aad3ca5fcd2a566c758184c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f09a9a0096d149d95ddd19a0278a957.png)
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2022-07-03更新
|
114次组卷
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2卷引用:2022年贵州省仁怀市九年级中考第二次适应性考试数学试题
9 . 如图,直线
分别与x轴,y轴交于点A,B,与反比例函数
的图像交于点D,过点A作
轴与反比例函数的图像相交于点C,若
,则k的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/15/b0fe3d21-8c4e-4bee-b1bd-ae71d5842d23.png?resizew=244)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6b28d3832f748441f80e9880bfa656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9212e728b36c078188606c9d429389d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2241bd71e0c20867029e489f9ba655d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ee81929c987732fcb379802eeef7a7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/15/b0fe3d21-8c4e-4bee-b1bd-ae71d5842d23.png?resizew=244)
A.3 | B.4 | C.![]() | D.![]() |
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名校
10 . 如图,P为⊙O外一点,PA、PB为⊙O的切线,切点分别为A、B,直线PO交⊙O于点D、E,交AB于点C.
(2)若∠ADE=30°,求证:AE=PE.
(3)若PE=4,CD=6,求CE的长.
(2)若∠ADE=30°,求证:AE=PE.
(3)若PE=4,CD=6,求CE的长.
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2022-06-30更新
|
1921次组卷
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12卷引用:2023年贵州省遵义市第六中学中考数学三模试题(6月份)
2023年贵州省遵义市第六中学中考数学三模试题(6月份)2022年湖北省恩施州中考数学真题(已下线)专题12 圆与正多边形-2022年中考数学真题分项汇编(全国通用)(第2期)(已下线)2022年湖北省恩施州中考数学真题变式题21-24题(已下线)专题3.56 圆中的相似问题(培优篇)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(北师大版)(已下线)专题10圆2023学年江苏省泰州市九年级中考数学一模模拟试卷2023年贵州省铜仁学院附中中考一模数学试题广东省广州市番禺区香江实验学校2023-2024学年九年级上学期月考数学试题安徽省六安市汇文中学2023--2024学年九年级上学期第三次月考数学试题2024年云南省初中学业水平考试数学预测题2023年江苏省苏州市中考数学考前模拟预测题(四)