1 . 如图所示,在正方形
中,
是
的中点,
是
上的一点,
,下列结论:①
;②
;③
;④
.其中正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/27bdb7f0-8046-4195-b71c-85d38350e9b5.png?resizew=137)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce726bceb02452bb4e5ed6b00fa94e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f57b8380e1c9d059087e2bd121153f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d31f6ffbd9b9300781a4d5bf78696b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebc7ede482215fdb9375ea19d5879ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e479b87033fae747b03d12e5eb9e56f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/27bdb7f0-8046-4195-b71c-85d38350e9b5.png?resizew=137)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2 . 如图所示,在
中,
,
分别是
,
的中点,若
的面积为4,则
的面积为( )
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/942a0d1f-a915-46b0-91ab-f616abfbb6cb.png?resizew=160)
A.8 | B.12 | C.14 | D.16 |
您最近一年使用:0次
3 . 如图,在四边形
中,
,
, 对角线
与
相交于点O.
![](https://img.xkw.com/dksih/QBM/2024/1/5/3404666167910400/3452775586840576/STEM/e89453e92ffa4b839bef0264444a767a.png?resizew=140)
(1)求证:四边形
是平行四边形;
(2)若
,求证:
;
(3)在(2)的条件下,过点B作
交
于点
,若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7163770743403741f417ca6b73ab786f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/2024/1/5/3404666167910400/3452775586840576/STEM/e89453e92ffa4b839bef0264444a767a.png?resizew=140)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6717f145fbe0d0db28a62acbff8a34b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
(3)在(2)的条件下,过点B作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f9cb93947d668d2e054348103f8bf3.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/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b74e2b6dae540571fdd509c4e966b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
您最近一年使用:0次
4 . 如图,
是
的直径,
是
的弦,且
平分
,过点
作
的切线,交
的延长线于点
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/9528a6d4-206a-4d04-ad16-5fe8e84894c3.png?resizew=116)
(1)求证:
;
(2)若点
恰好为
的中点,
,求
的半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97bde5efa645a4c1ed6874088400d6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](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/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/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/9528a6d4-206a-4d04-ad16-5fe8e84894c3.png?resizew=116)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5427b7b994b860628df3d6b7a07de8.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f9353ca110c8b81561455b232dbc15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82773737609e65dea3c5c67099f1b10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
您最近一年使用:0次
5 . 如图所示,在
的正方形网格中,每个小格的顶点叫做格点,点A,B,C,D都在格点上,线段
与
相交于点E,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a01b58184ef17d47645f361dcd5b187c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc54a3cd8fc76ea383aeb1acb8f7ec31.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/3286198f-f63a-40c3-8594-8631f5045c86.png?resizew=170)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 如图,
和
是以点
为直角顶点的等腰直角三角形,把
以
为中心顺时针旋转,点
为射线
、
的交点.若
,
.
与
的数量关系是_____;位置关系是_____.
(2)如图2,当点
在
的延长线上时,求
的长;
(3)在旋转过程中,当线段
时,求
的长.(请自己作图解决)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(2)如图2,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
(3)在旋转过程中,当线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5611470e86c8d1788987e925b7ce2a78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
您最近一年使用:0次
7 . 如图所示,在
中,
,以
为直径的
分别交
于点
,连接
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c4bb43fbf9d56c1d0e4048abd02cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49bbafaa7d8117da1a389816616cf8d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5345f892125374809bcaaab5da8d3f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e261a942097fc850672dc68fab43229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
A.1 | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
2024-03-13更新
|
140次组卷
|
3卷引用:贵州省黔东南苗族侗族自治州从江县停洞中学2023-2024学年九年级下学期2月月考数学试题
贵州省黔东南苗族侗族自治州从江县停洞中学2023-2024学年九年级下学期2月月考数学试题2024年甘肃省武威市凉州区西营镇九年制学校教研联片二模数学模拟试题(已下线)培优冲刺01 三角形中的常见模型综合训练(14模型)-【查漏补缺】2024年中考数学复习冲刺过关(全国通用)
8 . 如图所示,在
中,
,
相交于点O,E是
的中点,连接
并延长交
于点F,已知
,则下列结论:①
;②
;③
;④
.其中一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c843d93652028bc4e17662fff27c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d137ad180d729cf3aa2057528510b48d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a5a689549ff4f1c3cdd41052fe7222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b77c9c19383824a7a2e1e5db2b7d24d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4eadca1e53d1d3e732b3917a864fcfe.png)
A.①②③④ | B.①④ | C.②③④ | D.①②③ |
您最近一年使用:0次
2024-03-05更新
|
101次组卷
|
5卷引用:贵州省铜仁市第五中学2023-2024学年九年级上学期12月月考数学试题
贵州省铜仁市第五中学2023-2024学年九年级上学期12月月考数学试题河北省石家庄市第十三中学2021-2022学年九年级上学期月考数学试题浙江省Q21教学联盟2023-2024学年九年级上学期1月学情调查数学试题27.2.2 相似三角形的性质(已下线)考题猜想9-1 中心对称图形-平行四边形(培优+拔尖,12种题型)-2023-2024学年八年级数学下学期期末考点大串讲(苏科版)
9 . 【例题探究】数学课上,老师给出一道例题,如图
,点
在
的延长线上,且
,若求证:
;请用你所学的知识进行证明.
【拓展训练】
如图
,点
在
的延长线上,且
,若
,
,
,则
的值为______;(直接写出)
【知识迁移】
将此模型迁移到平行四边形中,如图
,在平行四边形
中,
为边
上的一点,
为边
上的一点
若
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89bec88a216b82fd1f3d99c67197449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c12b7ca2a8846e7c8a91ab1ae47ca2.png)
【拓展训练】
如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/863a387e74ce328e59f63b97cce06d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec5d3a183594be47dd6e386d2c9d725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998329f9cdb86f5d60d7d5d70fc3781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94f9daede9287a3da7c8c7e00c1513a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7088ab6302969d48ec277dbc51fd985.png)
【知识迁移】
将此模型迁移到平行四边形中,如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba41a48ee6e147eba6b1352ec8c3cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87281f32fa02d3c498ac585e7372e820.png)
您最近一年使用:0次
2024-01-22更新
|
305次组卷
|
4卷引用:贵州省黔西南布依族苗族自治州兴仁市真武山街道办事处黔龙学校2023-2024学年九年级下学期3月月考数学试题
贵州省黔西南布依族苗族自治州兴仁市真武山街道办事处黔龙学校2023-2024学年九年级下学期3月月考数学试题2023年山东省泰安市高新区中考数学三模试题(已下线)专题11 四边形压轴题综合-2024年中考数学二轮热点题型归纳与变式演练(全国通用)2024年山东省临清市中考模拟检测(三)数学试题
10 . 如图,在正方形
中,点
是
边上一点(不与点
,
重合),且
,
交边
于点
.
(1)求证:
①
;
②
;
(2)若
,求证:
.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/f8aca29eb6c46838852134027cf28d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/20/3027bcbe-584f-425d-8f4c-2eef82c6da8e.png?resizew=125)
(1)求证:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132560c0641bdc459eba186e7be12c63.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efca2c30aa2498332c8b505b8964e371.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ae354da16d48338d96d47e5f03bfe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810747482a970083c3166d6c29fe509f.png)
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2023-12-12更新
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206次组卷
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3卷引用:贵州省贵阳市清镇市鸭池河中学2023-2024学年九年级上学期11月月考数学试题