1 . 已知
是实系数方程
的虚根,记它在直角坐标平面上的对应点为
.若
在直线
上,求证:
在圆
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7383c643d74bb787f8f101830c12fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77729efa2f964fb204ebcef40e1c02d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dfdef13e84f373bf4e90db872ff97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f281814a940820e52ec332185871e22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52225f75cebeb64408d27837cec03b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd83d733037f9c4305f4e3a7f5bbe142.png)
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21-22高二·全国·课后作业
2 . 已知某
标准跑道的内圈如图所示,其中左右两边均是半径为
的半圆弧.(设
标准跑道最内圈周长为
.)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/eb093189-3924-420d-bbbc-e986d633aed2.png?resizew=162)
(1)求每条直道的长度;
(2)建立平面直角坐标系
,写出该跑道内圈上半部分对应的函数解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05ba29eb90358e2211e1f7ba6423fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03c367201c385fcf9bdbf09d22b9e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05ba29eb90358e2211e1f7ba6423fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05ba29eb90358e2211e1f7ba6423fa2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/eb093189-3924-420d-bbbc-e986d633aed2.png?resizew=162)
(1)求每条直道的长度;
(2)建立平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
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