设抛物线
的焦点为F,过F且倾斜角为45°的直线
与C交于A,B两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/2aaf01fd-371a-4686-ab74-2213b5542eb3.png?resizew=145)
(1)求
的值;
(2)求过点A,B且与抛物线C的准线相切的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/2aaf01fd-371a-4686-ab74-2213b5542eb3.png?resizew=145)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
(2)求过点A,B且与抛物线C的准线相切的圆的方程.
19-20高二上·浙江湖州·期末 查看更多[2]
更新时间:2020-02-09 22:13:09
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【推荐1】(1)求过点(2,0)且圆心为(1,0)的圆的方程:
(2)过点(2,5)作(1)中圆的切线,求出切线方程.
(2)过点(2,5)作(1)中圆的切线,求出切线方程.
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适中
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【推荐2】已知直线
恒过定点
,过点
引圆
的两条切线,设切点分别为
,
.
(1)求直线
的一般式方程;
(2)求四边形
的外接圆的标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21091abfc50be5c12373c64fdc62415d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283b0cef5d644b8dceb910ce2c76f21c.png)
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【推荐1】如图所示,已知抛物线
的焦点为
,直线
经过点
且与抛物线
相交于
、
两点.
![](https://img.xkw.com/dksih/QBM/2018/4/17/1926126331822080/1929412962123776/STEM/4d35b8dd77fa4ae59c9ce0d93c4f07d6.png?resizew=164)
(1)若线段
的中点在直线
上,求直线
的方程;
(2)若线段
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2018/4/17/1926126331822080/1929412962123776/STEM/4d35b8dd77fa4ae59c9ce0d93c4f07d6.png?resizew=164)
(1)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/400d4af942ba7f9a67c3b1ec4863bddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐2】已知抛物线
的焦点为
,准线为
.
(1)若
为双曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319bdd02464019827584973e66e9b8ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e185b9f579fe4dd7a15b88e9376b4326.png)
的一个焦点,求双曲线
的渐近线方程;
(2)设
与
轴的交点为
,点
在第一象限,且在
上,若
,求直线
的方程;
(3)经过点
且斜率为
的直线
与
相交于
、
两点,
为坐标原点,直线
、
分别与
相交于点
.试探究:以线段
为直径的圆
是否过定点,若是,求出定点的坐标;若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d41bd21b19b7e1ba41d904104a9229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319bdd02464019827584973e66e9b8ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e185b9f579fe4dd7a15b88e9376b4326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893e658908683584084ea8cd2b1abb23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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(3)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
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