名校
1 . 阅读问题:已知点
,将
绕坐标原点逆时针旋转
至
,求点
的坐标.
解:如图,点
在角
的终边上,且
,则
,
,点
在角
的终边上,且
,于是点
的坐标满足:
,
,即
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/54c68671-8d96-4e05-9c8e-744459734b16.png?resizew=191)
(1)将
绕原点顺时针旋转
并延长至点
使
,求点
坐标;
(2)若将
绕坐标原点旋转
并延长至
,使
,求点
的坐标(用含有
、
的数学式子表示);
(3)定义
,
的中点为
,将
逆时针旋转
角,并延长至
,使
,且
的中点
也在单位圆上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4258b2df7c7496adf889300faf969699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
解:如图,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fdec18642892e189c93a15b0d91cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7734865c5a5efb104e40dc63315f4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887a8767eb85228d36e6f25cf4481287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9b5996067a3fc9adcf0ca178dddf03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3c1448d71ac3b2d0a7d9b5800020f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/616c8a6d575cacba70ad686a18eeb0d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd00e332b2ce1c44664bc54510839b95.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/54c68671-8d96-4e05-9c8e-744459734b16.png?resizew=191)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed29a3dbcfb2579ce926a6f86b19d7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/620a1379a10847915644350ff2ff90bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(3)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acff11b6435ec1ad0235698bb26ea42c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718db7266fcd1f56a5992783235ab720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eacde1c42151734fdc60f3001b590de.png)
您最近一年使用:0次
2020-01-18更新
|
318次组卷
|
2卷引用:上海市七宝中学2015-2016学年高一下学期期中数学试题