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)
19-20高二·全国·课后作业 查看更多[1]
(已下线)【新教材精创】2.7.2+抛物线的几何性质(1)+导学案-人教B版高中数学选择性必修第一册
更新时间:2020-12-24 23:24:22
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【推荐1】设
为抛物线
的焦点,
为该抛物线上不同的三点,若点
是
的重心,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8377cc802ec79acb5b9f658f3a52c3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8377cc802ec79acb5b9f658f3a52c3.png)
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【推荐2】若抛物线
上一点
到焦点
的距离为4,则点
的纵坐标的值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48f28aeccf369df5980ac787e9e313f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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【推荐1】已知抛物线
的焦点为
,
关于原点的对称点为
,过
作
轴的垂线交抛物线于
两点,给出下列五个结论:
①
必为直角三角形;
②
必为等边三角形;
③直线
必与抛物线相切;
④直线
必与抛物线相交;
⑤
的面积为
.
其中正确的结论是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
④直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223ec16c7b0b7d25431d352d89215462.png)
其中正确的结论是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/25/dc341a5d-9c18-4869-af0f-457483017cee.png?resizew=137)
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【推荐2】在直角坐标系
中,直线
过抛物线
的焦点
,且与该抛物线相交于
两点,其中点
在
轴上方.若直线
的倾斜角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db06c4bed26b9f639b4d76c1c31cb35.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661bd8d4d82205bd311e7349ae91f602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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