1 . 如图,在
中,D、E分别是边AB和AC上的点,将
纸片沿DE折叠,点A落到点F的位置.如果
,
,
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2a8bf5e05a07c93a7104839fc21849.png)
______ 度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1192fc83f2c50f64fcfa5c86f2a741e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32436704a722d5e568ff5c175bf3c662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568f1343910b872ba3c3606c0fe601a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2a8bf5e05a07c93a7104839fc21849.png)
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2 . 如图,在梯形
中,
,
,
,
,
,那么梯形
的周长为______ cm.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525b212fc8e4a6e4e3238ef3037831e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e04947c608f4b7f67b18e8decb05f70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9547f6b5c7c54d216ecea72becb7d373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462d2afc6d249a6c73002406cb88961b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/8/ba28f999-1d76-4abd-a9f9-8495bcc6a935.png?resizew=235)
您最近一年使用:0次
2023-07-03更新
|
195次组卷
|
3卷引用:上海市松江区2022-2023学年八年级下学期期末数学试题
3 . 如图,已知
,且
,求证
.
( )
∴
( ).
∴
( ).
又
( ),
∴
.
即
.
∴
( ).
∴
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f8b62b07807fec13151fd82883142e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b333110550208ffce4ec642f78075f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f8b62b07807fec13151fd82883142e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5101908ba9bb8efd5f7597ba4b0f22ee.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18566fffe2761ba9538f6dc7ff638987.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e8bc16b88e9d2dfa74c57cec006526.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd31b5f3cb4a81f9d3da43408e17f585.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b333110550208ffce4ec642f78075f.png)
您最近一年使用:0次
4 . 我们规定车辆在转弯时的转弯角是车辆原行驶路线与转弯后路线所成的角的外角.如图:一辆车在一段绕山公路行驶(沿箭头方向)时,在点B、C和D处的转弯角分别是
、
和
,且
,则
、
和
之间的数量关系是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd81adb13f5a7550b0f94f770900a613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
5 . 已知:如图,
,三角尺的直角顶点在直线b上,
,
的度数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a4352562ae8aa968014fd0d931b677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc2be57d11b064a89134cdc4d6df860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
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6 . 如图,已知直线
,点A在直线a上,点B、C在直线b上,点P在线段
上,如果
,
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5e0339883c0c7ab0693987b68e9932.png)
______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a4352562ae8aa968014fd0d931b677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b407ae418a5c5d7b2185cfeaed1cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537e6ae8a0cd57f70a8c6aa2ce773995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5e0339883c0c7ab0693987b68e9932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/27/e78ebe9c-06df-424c-ab49-cfd89117445c.png?resizew=204)
您最近一年使用:0次
7 . 按下列要求画图并填空:如图,直线
与直线
相交于O,根据下列语句画图:
(1)过点P作
,垂足为E.
(2)过点P作
,交
于点F.
(3)若
,则
度.
(4)点F到直线
的距离是线段 的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/13/50150c53-7cf9-4859-8a2e-d1581d6e503d.png?resizew=199)
(1)过点P作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9829fc6685b59fdc609f32f30ebd9e6d.png)
(2)过点P作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10934bd2a3eecb25676f65a42be463a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f387df4b8db53e3c6d43f5fb1450cabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25795c321ace603e0466ea05b6d529c.png)
(4)点F到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
您最近一年使用:0次
22-23七年级下·全国·阶段练习
8 . 某同学在研究传统文化“抖空竹”时有一个发现:他把它抽象成数学问题.如图所示,已知
,
,
,则
的度数是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70816ea5962a8b97e4ff197f5422cfbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff08cad4231c6eaae65bea0d60cbf599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b871a762469393cdd22f15aa49ebb8f9.png)
您最近一年使用:0次
2023-05-24更新
|
219次组卷
|
4卷引用:开学测模拟卷02(范围:七年级下学期全册)-【暑假自学课】2023年新八年级数学暑假精品课(沪教版,上海专用)
(已下线)开学测模拟卷02(范围:七年级下学期全册)-【暑假自学课】2023年新八年级数学暑假精品课(沪教版,上海专用)(已下线)苏科版七年级下【第二次月考卷】(测试范围:第7章~第10章)江苏省苏州市吴江区吴江区苏州湾实验初级中学2022-2023学年七年级下学期期中数学试题江苏省苏州市吴江区吴江区青云中学2023-2024学年七年级下学期期中数学试题
9 . 在
中,
, 点P在线段
上,
,
交
于点D,过点B作
,垂足为E,交
的延长线于点F.
,
①如图1当点P与点C重合时,求证:
;
②如图
,当点
在线段
上,且不与点
、点
重合时,问: ①中的“
”仍成立吗?请说明你的理由;
(2)如果
,如图11,已知
(n为常数),当点P在线段
上,
且不与点B、点C重合时,请探究
的值(用含n的式子表示),并写出你的探究过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93572e4ae3065931d938a9de3e5cda44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03d3b1a7b201f380f960db4b6ff2943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27e47690ed332c573186992b6d25654.png)
①如图1当点P与点C重合时,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f935a74588bfbbb7f73323ba3e19a0c.png)
②如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.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/6f935a74588bfbbb7f73323ba3e19a0c.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ee042fe1ab4e7b97b9b9b935e367a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71aab3a6bb6826437abf0d6e90e24d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfeb1696290ff2810cca701bd6f02c2f.png)
您最近一年使用:0次
2022九年级下·江苏·专题练习
10 . 如图,在中,
,点D在边
上,
交
于点E,如果
,求
的长.
您最近一年使用:0次
2023-04-26更新
|
114次组卷
|
4卷引用:第02讲 三角形一边的平行线(一)-【暑假自学课】2023年新九年级数学暑假精品课(沪教版,上海专用)
(已下线)第02讲 三角形一边的平行线(一)-【暑假自学课】2023年新九年级数学暑假精品课(沪教版,上海专用)(已下线)专题6.3 探索三角形相似的条件(知识解读)-2022-2023学年九年级数学下册《同步考点解读·专题训练》(苏科版)(已下线)专题27.2.1 平行线分线段成比例(知识解读)-2022-2023学年九年级数学下册《同步考点解读·专题训练》(人教版)山东省济南市2022-2023学年八年级下学期期末数学试题