名校
解题方法
1 . 已知点M是抛物线
上的一动点,F为抛物线的焦点,A是圆C:
上一动点,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0acbc3464471520c8cf702bf4062ba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c721c5f9908f94fa6bc10daec38633.png)
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2020-12-27更新
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225次组卷
|
2卷引用:重庆市育才中学2021届高三上学期12月月考数学试题
名校
2 . 已知抛物线
的焦点为
,
,点
是抛物线上的动点,则当
的值最小时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12dc1bdded62dae38ef3bd02e886757a.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f11e72fb74a6774a726fd59f42220c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12dc1bdded62dae38ef3bd02e886757a.png)
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19-20高二·全国·课后作业
3 . 已知抛物线C:y2=4x的焦点为F,准线为l,P是l上一点,Q是直线PF与C的一个交点,若
=3
,则|QF|=__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2804b169d7bb07a3b23912a83b7d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996b9378e954aa0aea3595035267f000.png)
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19-20高二·全国·课后作业
4 . 与圆
外切,且与直线
相切的动圆圆心的轨迹方程是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9df0d79e42d86b0def4caa10dffa75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122fa7155f6858a570e8dee2495822a3.png)
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19-20高二·全国·课后作业
5 . 判断:
(1)抛物线的焦点到准线的距离是
.______
(2)抛物线的开口方向由一次项确定.______
(1)抛物线的焦点到准线的距离是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)抛物线的开口方向由一次项确定.
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6 . 设抛物线
(
)的焦点为F,准线为l,过抛物线上一点A作l的垂线,垂足为B,设
,若
与
相交于点E,
,
的面积为
,则抛物线的方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4412ae3430672bfd6772d2c5c7f7a3d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51245131c14004c7e54c456817cd8d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
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解题方法
7 . 设定点
,点P是抛物线
上任意一点,当
的值最小时,点P的坐标为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643b31966f52a03f001f2e613cd701dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508734095955bb96d52f37be4e681700.png)
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解题方法
8 . 已知点
为抛物线
上一点,若点
到抛物线
焦点的距离为2,则点
的纵坐标![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfd2850365896a530c028d0fae05671.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfd2850365896a530c028d0fae05671.png)
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9 . 点
,点
在曲线
上,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacfc149ede71417fa599c21b5a84cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82358b724051b032c7ec734a226ae84.png)
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10 . 已知抛物线C:
的焦点为
,准线为
,点
是抛物线
上第一象限内的一点,过点
作
的垂线,垂足为
,直线
的斜率为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995e31d67e547f5129de48dac3fa688e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb61cd75d57e923e149adf8b7796371.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995e31d67e547f5129de48dac3fa688e.png)
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2020-12-19更新
|
294次组卷
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6卷引用:湖南省永州市八县2020-2021学年高三上学期12月联考数学试题
湖南省永州市八县2020-2021学年高三上学期12月联考数学试题(已下线)专题19 抛物线(客观题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题20 抛物线(客观题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)(已下线)专题21 抛物线(客观题)-2021年高考数学(理)二轮复习热点题型精选精练新高考2021届高三考前保温热身模拟卷数学试题(五)(已下线)“8+4+4”小题强化训练(49)抛物线-2022届高考数学一轮复习(江苏等新高考地区专用)