1 . 如图,已知
,
,
是直角坐标系平面上三点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/21/a47fc69a-cb3c-4965-9afc-019851b9904f.png?resizew=256)
(1)画出
绕点C顺时针旋转
后的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)求出A点旋转到
点所经过的路径长和线段
所扫过的图形面积(结果保留根号和
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c737ce37d2a8fc149ce0aaa0d97639e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce7be37ff9418a9c95d5dc54814ebd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc03fafb03395ed84030f03c5d93aa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/21/a47fc69a-cb3c-4965-9afc-019851b9904f.png?resizew=256)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)求出A点旋转到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
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2 . 在平面直角坐标系中,已知点
的坐标为
,将
绕原点
逆时针方向旋转
到
的位置,则在旋转过程中,线段
扫过的部分的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a0387fc1258f31e44a10068c0ccfd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe29caf61254f41c49125e31bf37614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,在边长为1的正方形组成的网格中,△AOB的顶点均在格点上,其中点A(5,4),B(1,3),将△AOB绕点O逆时针旋转90°后得到△A1OB1.
![](https://img.xkw.com/dksih/QBM/2018/2/6/1876357225070592/1894964625031168/STEM/48856b083644466f96592ba96a90dfe1.png?resizew=168)
(1)画出△A1OB1;
(2)求在旋转过程中线段AB、BO扫过的图形的面积之和.
![](https://img.xkw.com/dksih/QBM/2018/2/6/1876357225070592/1894964625031168/STEM/48856b083644466f96592ba96a90dfe1.png?resizew=168)
(1)画出△A1OB1;
(2)求在旋转过程中线段AB、BO扫过的图形的面积之和.
您最近一年使用:0次
2018-03-04更新
|
215次组卷
|
3卷引用:福建省厦门市第十一中学2018-2019学年九年级上学期期中数学试题