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1 . 如图,在
ABC中,∠BAC=30°,∠ACB=45°,AB=2,点P从点A出发沿AB方向运动,到达点B时停止运动,连结CP,点A关于直线CP的对称点为
,连结
,
.在运动过程中,点
到直线AB距离的最大值是____ ;点P到达点B时,线段
扫过的面积为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b10100be43f77a13fa0ccd1c1d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17288da70b31823293794cb289e3123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431834c537159bca9b2ac5f78f014c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b10100be43f77a13fa0ccd1c1d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431834c537159bca9b2ac5f78f014c3d.png)
![](https://img.xkw.com/dksih/QBM/2021/11/19/2854639109218304/2856294216515584/STEM/632ceb8e5e65496a870976f105bc0f07.png?resizew=211)
您最近一年使用:0次
2021-11-21更新
|
583次组卷
|
6卷引用:浙江省金华市义乌市绣湖中学教育集团2021-2022学年九年级上学期期中数学试题
浙江省金华市义乌市绣湖中学教育集团2021-2022学年九年级上学期期中数学试题浙江省金华市2021-2022学年九年级上学期期中数学试题(已下线)重难点04 图形变换类问题-2022年中考数学【热点·重点·难点】专练(已下线)考点22 图形的对称、平移和旋转-备战2022年中考数学一轮复习考点帮(浙江专用)(已下线)专题14 直角三角形-备战2022年中考数学母题题源解密(浙江专用)(已下线)专题23 图形的对称、平移与旋转-备战2022年中考数学母题题源解密(浙江专用)
2 . 古希腊数学家毕达哥拉斯认为:“一切平面图形中最美的是圆”.波波决定研究一下圆.如图,
、
是
的两条半径,
,C是半径
上一动点,连接
并延长交
于D,过点D作圆的切线交
的延长线于E,已知
.
;
(2)若
,求
长;
(3)当
从
增大到
的过程中,求弦
在圆内扫过的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434845564fd5765244f8d1aa9240fa39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0576f6617aa7cde53e0bae162d081cd4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38586fe93acaacaeabe67feea485b92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c12e76fbd84eeec721386bd3b04cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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真题
3 . 如图,在
中,
,
,
,点
从点
出发沿
方向运动,到达点B时停止运动,连结
,点
关于直线
的对称点为
,连接A′C,
.在运动过程中,点
到直线
距离的最大值是_______ ;点
到达点
时,线段
扫过的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab926d89b65f26c12e3da73ef1e5cf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27e47690ed332c573186992b6d25654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7ffb7889a31b267a85f1ea238138e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec18549be9b0f7a35761423636d8911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7ffb7889a31b267a85f1ea238138e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec18549be9b0f7a35761423636d8911.png)
![](https://img.xkw.com/dksih/QBM/2021/6/17/2744710821470208/2744852506566656/STEM/f020b1b9-43f6-4b5b-94e7-9ee2dd51f95a.png?resizew=253)
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解题方法
4 . 如图,在一个
的网格中,点
都在格点上,
,点P是线段AB上的一个动点,连接OP,将线段OA沿直线OP进行翻折,点A落在点C处,连接BC,以BC为斜边在直线BC的左侧(或下方)构造等腰直角三角形
,则点P从A运动到B的过程中,线段BC的长的最小值为____________ ,线段BD所扫过的区域内的格点的个数为(不包含所扫过的区域边界上的点)____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05030e43be9b5d3a8d55f7750b282126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f5e21d225bf3c159ddf3876fbb8fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ded397165287c9670e55e781580d127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4739afd7311501e948aa4e1e5c1cb17.png)
![](https://img.xkw.com/dksih/QBM/2021/4/30/2711052745416704/2712489126436864/STEM/b988bd73-3c15-456a-9e8b-62f5d6a4a604.png?resizew=261)
您最近一年使用:0次
2012·浙江杭州·二模
5 . 在平面直角坐标中,边长为2的正方形
的两顶点
、
分别在
轴、
轴的正半轴上,点
在原点.现将正方形
绕
点顺时针旋转,当
点一次落在直线
上时停止旋转,旋转过程中,
边交直线
于点
,
边交
轴于点
(如图).
![](https://img.xkw.com/dksih/QBM/2019/6/10/2222633389875200/2222659919970304/STEM/3ce38199e9024976bc63f7935040876b.png?resizew=129)
(1)求边
在旋转过程中所扫过的面积;
(2)旋转过程中,当
和
平行时,求正方形
旋转的度数;
(3)设
的周长为
,在旋转正方形
的过程中,
值是否有变化?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2019/6/10/2222633389875200/2222659919970304/STEM/3ce38199e9024976bc63f7935040876b.png?resizew=129)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
(2)旋转过程中,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2257a8e7ecc615ba7fb8d1dfea828ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2016-12-05更新
|
1549次组卷
|
5卷引用:专题3.11 平移和旋转-几何变换(综合提升篇)(专项练习)-2020-2021学年八年级数学下册基础知识专项讲练(北师大版)
(已下线)专题3.11 平移和旋转-几何变换(综合提升篇)(专项练习)-2020-2021学年八年级数学下册基础知识专项讲练(北师大版)(已下线)2012届浙江杭州市启正中学九年级中考二模数学试题卷2016届山东省潍坊市寿光市5月中考模拟数学试卷人教版九年级上册综合检测试卷数学试题人教版几何专题第八章三级演练