1 . 数学综合与实践活动小组用四个全等的直角三角形
拼成如图所示的“赵爽弦图”,得到正方形
和正方形
,连接
和
与
分别相交于点P,O,Q.若
,则
的值是 ____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8aabded9690870290f3abb28d9aadf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e67b83c8193667fa97cb3c5302273fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6558b5f0a98402a6669d0dce5b57289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64597a97002201ab5bc8047ec52362d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1846781d0ab28a47207f7e3ece38740.png)
您最近一年使用:0次
名校
2 . 下列说法中,错误的是( )
A.角平分线上的点到角两边的距离相等 |
B.到线段两端点距离相等的点,在线段的中垂线上 |
C.三角形的三边分别为a、b、c,若满足![]() |
D.如果两个三角形全等,那么这两个三角形一定成中心对称 |
您最近一年使用:0次
3 . 如图,在
中,
,D是
的中点.点P在线段
上以
的速度由点B向点C运动,同时,点Q在线段
上由点C向点A运动,它们运动的时间为
,设点Q的运动速度为
,若使得
与
全等,则x的值为____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748571e076c7e5532cbac1b7d401b58c.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/ebc2d9b900111188aca83126dff97f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d744165d6aad705f64de41a9d931750a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568ce8fdc4766e12308996f5b2243307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b17b75d6a83edb110f3dd91a5f40681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f09c7b26d991c5ed6565efd0ec1bcd.png)
您最近一年使用:0次
4 . 已知,在
中,
,
,
,点D是
的中点,点P在线段
上以
的速度由点B向点C运动,同时点Q在线段
上由点C向点A运动.当
和
全等时,则点Q的运动速度为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4354365ca0929f8a606ed0bf341e4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b79850d6b00a67110e77a33d1c46b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf2732c063f01d83e8f7cfc2b138732.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/d989a128e30a701dfff5592476a76bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983add910c8e09954f164a5e87d1f7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb4853c9f383c2f9956ba6d672c1c45.png)
您最近一年使用:0次
5 . 如图,四边形
是矩形,将
沿着
折叠到
,若
,
,则
的正切值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15514bc735fe4b744672edefe00009c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-20更新
|
81次组卷
|
2卷引用:四川省成都市龙泉驿区2023-2024学年九年级下学期期中数学试题
名校
6 . 阅读下列文字:我们知道,图形是一种重要的数学语言,我国著名的数学家华罗庚先生曾经说:“数缺形时少直观,形缺数时难入微”
例如,对于一个图形,通过不同的方法计算图形的面积,就可以得到一个数学恒等式.
例如图
得到:
,基于此,请回答下列问题:
【直接应用】(1)已知:
,
,求
;
【类比应用】(2)已知:
,求:
;
【知识迁移】(3)将两块全等的直角三角板
,
按如图
所示的方式放置,
,
,
在同一直线上,连接
,
若
,
,求阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
例如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d351a97edcc0783d8d7a02d041bdb5.png)
【直接应用】(1)已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c960fc862fd36db83082f5c50cd604b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d35465f3e40ce00a1dce54b943ae183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
【类比应用】(2)已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72edc5a982a9778f0ef2c1121341ea60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d776399d4d3a05bd5041ff695e3ba2.png)
【知识迁移】(3)将两块全等的直角三角板
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a081a50258c78141879055fa8ecbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/332ab9d68a17d58247c4c51b8c26039a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c1e75eb744576c32eed3f9d20f9558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e03c0f840aeded248946ee3a99b1644.png)
您最近一年使用:0次
名校
7 . 如图,平行四边形
的面积为28,
,
.E为对角线
上任意一点,连接
,得
和
;已知
,
,则五边形
的对角线
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e0c5cb53fd85b7a23f0580df6bb49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ce06dbe9e1177468781ba4aff85ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d99bb3ab66b8884bf23cffe1bddcb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d34aaed333c0bc97fea5c431f6b38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf26f793400d294ea6a4e95764691af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
您最近一年使用:0次
2024-04-21更新
|
197次组卷
|
2卷引用:四川省达州市渠县四川省渠县中学2024年中考数学模拟测试题(二)
名校
8 . 如图,
中,
,
,
.点M从A点出发沿
路径以每秒
的速度向B点运动;点N从B点出发沿
路径以每秒
的速度向A点运动.点M在点N出发
后开始运动,分别过M和N作
于E,
于F.设点N的运动时间为t秒_________ 秒时,以点M,E,C为顶点的三角形与以点N,F,C为顶点的三角形全等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7baa1dd2468c4582123b46c4c323437a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b88df8024efbd7afc2b068849ca264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d0984bb4715e5e6100153012ddc5c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976260cbf5e30856d4fd37a4b0a671a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7012d1ff11db5e150182e19646814cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048b61a5fb5f420c6d7de88db5bc3aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f6524582d60e8a4ccbe45abf7713e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2669f45111eaf822dfb508cc202304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072346987a576c26e749789b5752f310.png)
您最近一年使用:0次
9 . 如图,
.如果
,
,那么
中边
的长是___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca10806fc8c3c3efd6859f526b76900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d30cd3e53a9df24fe6da5e8a3a7ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/c7da37c0-3ceb-4404-bf7f-7a728a9473c7.png?resizew=196)
您最近一年使用:0次
10 . 如图,点E在
上,点B在
上,
,
,则
的度数为________ 度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7689f5243761c2f56e553e461bad2639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a9d4526ddf01eb414b7257661799b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5d3f1c7f7ffdf572978468d5a3adde.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/70936b65-04f9-4499-aee3-71eb21b53340.png?resizew=188)
您最近一年使用:0次