已知抛物线
与圆
的一个公共点为
.
(1)求圆
的方程;
(2)已知过点A的直线
与抛物线C交于另一点B,若抛物线C在点A处的切线与直线
垂直,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6e666c9b8fc2d479867c5f7f52acec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174541741f9d18ca1394943abd2ed0aa.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)已知过点A的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
更新时间:2019-09-24 19:16:16
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适中
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【推荐1】在平面直角坐标系xOy中,已知圆C经过抛物线
与坐标轴的三个交点.
(1)求圆C的方程;
(2)经过点
的直线l与圆C相交于A,B两点,若圆C在A,B两点处的切线互相垂直,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22fc7f0b750d3452231dea8105dc540.png)
(1)求圆C的方程;
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b7018da31916836623af30279cce46e.png)
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐2】已知
中,
,角A的平分线在
轴上.
(1)求点
关于
轴的对称点
的坐标及边
,边
所在直线的方程;
(2)求
的外接圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ee9c59e3cc162bafb5546401d73e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解答题-问答题
|
适中
(0.65)
【推荐1】设抛物线
的焦点为F,准线为l,过焦点F且斜率为1的直线与抛物线C交于A,B两点,若
的中点到准线l的距离为4.
(1)求抛物线C的方程;
(2)设P为l上任意一点,过点P作C的切线,切点为Q,试判断F是否在以
为直径的圆上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(1)求抛物线C的方程;
(2)设P为l上任意一点,过点P作C的切线,切点为Q,试判断F是否在以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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【推荐2】已知
为抛物线
的焦点,
为坐标原点,过
作两条互相垂直的直线
,
,直线
与
交于
两点,直线
与
交于
,
两点,
(1)当
的纵坐标为4时,求抛物线
在点
处的切线方程;
(2)四边形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/945e93c9f3515ded840de09a9ba81ce8.png)
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