1 . 直线
经过变换可以化为
,则坐标变换公式是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3389ca94bab4b59bdc2dd147c9a1601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09009d07059f9c0508ade859efc1d3ef.png)
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2 . 在同一平面直角坐标系中,将曲线
变成曲线
,则满足上述图形变换的伸缩变换是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22df3b912ff3bbc09ae1fe55a09cdab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0762ed5995ccaef5cd0276dfc3b3a9.png)
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3 . 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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4 . 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)
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5 . 将曲线
按伸缩变换公式
变换后得到曲线
,则曲线
上的点
到直线
的距离最小值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c596ac5e0485f3429c90987dfe5bcee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21872d8f6a518e0a2993ccf7a795ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a552c4d1fa30885c7cf1a8e9b12026.png)
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