1 . 如图,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04cb7540784842b3651b2c480bc766ce.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f9640422ceff8c7aa3a55350f76082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b79854ad796bd2e2ed5e4cc8ae06830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04cb7540784842b3651b2c480bc766ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/dc8c884c-5c2f-4ac0-992f-7ac842376cab.jpg?resizew=153)
您最近一年使用:0次
2 . 如图,在正方形
和
中,连接
交
于点
,
,
,
是
的中点,那么
的长是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/5c6e17aa-8393-4c00-9ec5-8d3eb3269e60.png?resizew=172)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1f13007c6d134c50004c62dc240707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe3e982ce8f2d89d17bdc211fa65174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c845bb8ceaa4caef3af4f1e4366b49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/5c6e17aa-8393-4c00-9ec5-8d3eb3269e60.png?resizew=172)
A.![]() | B.2 | C.![]() | D.3 |
您最近一年使用:0次
3 . 如图,矩形
的一条边
,点
在边
上,连接
,将矩形
沿
折叠,使得顶点
恰好落在
边上的
点处.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/7015a855-f7c2-44bd-aee6-2aa7cb64646b.png?resizew=140)
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ee826937d2add7a93aaa1422f8b736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/7015a855-f7c2-44bd-aee6-2aa7cb64646b.png?resizew=140)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1220a0165f7134ea796af336e02b96b5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0ee7b90e38ea4f84f0339b7e2ee75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
4 . 我国古代数学著作《九章算术》中的“井深几何”问题:“今有井径五尺,不知其深,立五尺木于井上,从木末望水岸,入径四寸,问井深几何?”它的题意是:如图,四边形
是矩形,已知
尺,
尺,则井深
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/66164308-339a-4899-92c9-7dd43fe31bd4.png?resizew=79)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e096f87473d0b6b6d531ba22e5a7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8152fb2375334bd63b3b1c48d67fa041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/66164308-339a-4899-92c9-7dd43fe31bd4.png?resizew=79)
A.1.25尺 | B.56.5尺 | C.57.5尺 | D.62.5尺 |
您最近一年使用:0次
5 . 如图,在矩形
中,
分别为边
的中点,
与
分别交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/32a8f321-da85-4889-b1e1-744735aaa9a4.png?resizew=115)
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072ccc34d809568565d2b3a92b77f26b.png)
________ .
(2)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7aafb107c3ea00ffd5308a67f18f9a1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea77ba313fcc751481ac1ca214df3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3525ddc5153fada64eaf14e50b536542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589c3cc1f331dbb2248b0829039df7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/32a8f321-da85-4889-b1e1-744735aaa9a4.png?resizew=115)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072ccc34d809568565d2b3a92b77f26b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e321eabc09351370d085eb99e2ac19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7aafb107c3ea00ffd5308a67f18f9a1.png)
您最近一年使用:0次
6 . 如图,
是
的中位线,若
的面积为
,则为四边形
的面积( )
![](https://img.xkw.com/dksih/QBM/2024/1/27/3420206161649664/3421565912924160/STEM/bf53ef03ec8a454bbc9666701be633c2.png?resizew=138)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefe4a3e7a7fa195ed6a6712447639b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1152187fd0508870ac10b9a498d13cdc.png)
![](https://img.xkw.com/dksih/QBM/2024/1/27/3420206161649664/3421565912924160/STEM/bf53ef03ec8a454bbc9666701be633c2.png?resizew=138)
A.8 | B.10 | C.12 | D.14 |
您最近一年使用:0次
2024-01-31更新
|
82次组卷
|
2卷引用:福建省泉州市德化县2023-2024学年九年级上学期期末数学试题
7 . 【初步探究】
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/fca8f2ee-21da-4b32-a946-d6973c181694.png?resizew=321)
(
)如图
,在
中,点
分别在
上,连接
.已知四边形
是平行四边形,
.
①若
,求线段
的长;
②若
的面积为
,求平行四边形
的面积.
【深入探究】
(
)如图
,某工厂有一块形如四边形
的铁皮,其中
,
,
,
.为节约资源,现要从这块铁皮上截取矩形铁皮
(阴影部分)备用,点
分别在
上.设矩形铁皮的边
,矩形
的面积为
,求出
与
之间的函数关系式,并求矩形
面积的最大值.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/fca8f2ee-21da-4b32-a946-d6973c181694.png?resizew=321)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5b88ec996d2d117987e7303cefe4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504f0c0547a40bdbd23769f01e34a547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833ee84968e2c903b6350c23943b4fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e904f5b316b9ba89599fb789dd9b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6cfd1488eec3da4331a52f75a00e0a.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e904f5b316b9ba89599fb789dd9b09.png)
【深入探究】
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41aba1711910c6f533cc94319104f4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b8890120a7d3d628fb7b5b94a24001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7291b5f8f2248a723b470aef2db30342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e9a3d51bc81413504d2ec0037d694a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7ee0ef8945ba1b90e59aed7cab889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6241f9ef86cd0a902cbadaf336767dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8d0dc5056966d72b15f753f8ca2e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780ec8874ff3247f9a5227c8a6c5f311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7ee0ef8945ba1b90e59aed7cab889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7ee0ef8945ba1b90e59aed7cab889.png)
您最近一年使用:0次
8 . 如图,在矩形
中,
为矩形
的对角线,点
分别是
的中点,连接
交
于点
,连接
交
于点
.连接
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/439ea8582a416b126849e035d12892e1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/a6dc41ab-3faf-442f-8c0b-ee2b6b566155.png?resizew=165)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 如图,在
中,点
分别在边
上,
,
的面积为12,则
的面积是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476b0b8378f4b0f73f3dc5d84d89f616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d150a281409c1fa2518cb88e42543817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/747423d5-b747-408d-81cf-f4bd05fbf7a8.jpg?resizew=106)
您最近一年使用:0次
10 . 如图,在正方形
中,
是
的中点,
是
上一点,且
,下列结论:①
;②
;③
;④
.其中正确的是( )
![](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/77c1441979b0a396730e612eb9ac408c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1bc56e64379dd4ec9e627e53648c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c3316975ecd3a43058c29ed0a8e0fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce726bceb02452bb4e5ed6b00fa94e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3327f9755308e9be1ff45f52f9ed0b.png)
A.①③④ | B.①②③ | C.②④ | D.②③ |
您最近一年使用:0次