名校
解题方法
1 .
为抛物线
的焦点,
是抛物线
上的两个动点.
(Ⅰ)若直线
经过焦点
,且斜率为2,求
;
(Ⅱ)若直线
,求点
到直线
的距离的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d8c95731d6b6c8bb68643dc456478a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅰ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf38454cba04294754343a90d7d2b95c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2018-01-19更新
|
477次组卷
|
6卷引用:北京市西城区2017— 2018学年度第一学期期末高二数学文科试题
解题方法
2 . 已知定点
及抛物线
,抛物线
的焦点为
且准线
恰好经过圆
的圆心
.
(1)求抛物线
的标准方程.
(2)过点
作
的平行线交抛物线
于
、
两点,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f360246d78db95b642b56a39bced7d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/14ddac161f458e61dfaf8d350a4ce2e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f954a8da05cc9144d4bf86f88e236a.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://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
您最近一年使用:0次
11-12高二上·北京·期中
解题方法
3 . 在平面直角坐标系
中,抛物线C的顶点在原点,经过点
,其焦点F在x轴上.
![](https://img.xkw.com/dksih/QBM/2014/4/20/1571632189833216/1571632195330048/STEM/4f18dd5b4ede436a95d56016581e67b7.png?resizew=83)
(1)求抛物线C的标准方程;
(2)求过点F,且与直线OA垂直的直线的方程;
(3)设过点
的直线交抛物线C于D、E两点,
,记D和E两点间的距离为
,求
关于m的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174541741f9d18ca1394943abd2ed0aa.png)
![](https://img.xkw.com/dksih/QBM/2014/4/20/1571632189833216/1571632195330048/STEM/4f18dd5b4ede436a95d56016581e67b7.png?resizew=83)
(1)求抛物线C的标准方程;
(2)求过点F,且与直线OA垂直的直线的方程;
(3)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e72a5cf792c50131c13cd443004b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f16c0bdcd4e1b36d4b6a149545eef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f81f2a0196b06fc56a7e8a6463d179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f81f2a0196b06fc56a7e8a6463d179.png)
您最近一年使用:0次