名校
1 . 在同一平面直角坐标系中,经过伸缩变换
后,曲线C变为曲线
,则曲线C的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b93f8f484e89941e82958910caede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b3913ab3dbf56a6a4ef7a4915ef413.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-07-04更新
|
1020次组卷
|
2卷引用:人教A版 全能练习 选修4-4 综合测评 模块结业测评(二)
2 . 将曲线C按伸缩变换
变换后所得曲线方程为
,则曲线
的方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c596ac5e0485f3429c90987dfe5bcee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e08c4a230e32f550374a5fa4db5f204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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3 . 在平面直角坐标系中,求下列曲线方程所对应的图形经过伸缩变换
后的图形.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9814fd831c7eb70929219e6453c6e484.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
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4 . 在同一平面直角坐标系中,已知伸缩变换
.
(1)求点
经过变换
所得的点
的坐标;
(2)点
经过变换
得到点
,求点
的坐标;
(3)求直线
经过变换
后所得直线
的方程;
(4)求双曲线
经过变换
后所得曲线
的焦点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6440c5f31f9e639e0138ad7216c042.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf97eea4e3024c0b34343d004a526af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7ffb7889a31b267a85f1ea238138e.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f56232f1894c6c68197bed9e17b4da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a42751b87ccc37039057c71b12571f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354f8e9d6cca157b95877d6540d16fb3.png)
(4)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7278e51850c994afe4f64ca793fe7555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3557809c066e68395b614535a7675e76.png)
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5 . 已知四边形
的顶点分别为
,
,
,
,四边形
在伸缩变换
的作用下变成正方形,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b47e7bf02b3ca16f7d96b9369e51a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3752eaf8b6f65d3faf930dc54bf2ef1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266a1fd9667006e83c4ad72a177d248e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc3de0113e940bea53e93e5b24750f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 在平面直角坐标系中,抛物线
经过伸缩变换
后得到的曲线方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf5fc31f66d9e62f75e703666856e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a5bfd4582b7fe96534c6b1704bc319.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-07-04更新
|
549次组卷
|
3卷引用:人教A版 全能练习 选修4-4 第一讲 第一单元 2.平面直角坐标系中的伸缩变换
人教A版 全能练习 选修4-4 第一讲 第一单元 2.平面直角坐标系中的伸缩变换甘肃省白银市会宁县第一中学2020-2021学年高二下学期期末数学(文科)试题(已下线)第五篇 向量与几何 专题3 仿射变换与反演变换 微点5 仿射变换综合训练
7 . (1)在平面直角坐标系中,求下列方程所对应的图形经过伸缩变换
后的图形.
①
;
②
.
(2)伸缩变换的坐标表达式为
,曲线
在此变换下变为椭圆
,求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a5bfd4582b7fe96534c6b1704bc319.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810738c63815bffe59d99eb1cef20e21.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64b7ab668d61bcb8ec6d195c672a81e.png)
(2)伸缩变换的坐标表达式为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547d7306612e299576493b1cdd704ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75fcbc0a937609a8591ea78428433ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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8 . 在同一坐标系中,方程
经过伸缩变换
后表示的图形是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69afa13d47a3b2537296de22bcc48d03.png)
A.焦点在![]() |
B.焦点在![]() |
C.焦点在![]() |
D.焦点在![]() |
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9 . 点
经过伸缩变换
后的点的坐标是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a5bfd4582b7fe96534c6b1704bc319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 若点
经过伸缩变换
后的点在曲线
上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc2c354ec5bb9f7eb9db1f2e3d43a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7070d26b1a5d59b3e2cc5c2dc5dbf56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21052190a9452f45b027d4ed88ebe96b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次