题型:填空题-单空题
难度:0.65
引用次数:529
题号:4918028
如图,过抛物线
的焦点
的直线
交抛物线于点
,交其准线于点
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4665cc756635abc74f907e364d2f26e9.png)
,则此抛物线的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4665cc756635abc74f907e364d2f26e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a558528623f9a9fb1b8895d5048242a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/7ad34089-83d0-42c3-9e3c-1043ee5686e8.png?resizew=199)
更新时间:2017-02-27 14:37:38
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适中
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名校
【推荐1】若定长为
的线段
的两端点在抛物线
上移动,则线段
的中点到
轴的最短距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
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您最近一年使用:0次
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适中
(0.65)
【推荐2】已知抛物线
,过点
的直线与抛物线交于
,且
的长为10,设
的中点为
,则
到
轴的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269a51e0f77f63bae2df3dc8b1d4f455.png)
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解题方法
【推荐1】已知抛物线的参数方程为
(
为参数),其中
,焦点为
,准线为
,过抛物线上一点
作
的垂线,垂足为
,若
,点
的横坐标为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d33ad04959ff0d34b542735b3a039c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f5d9e9078cbfb6221de18520355bcc.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
您最近一年使用:0次
填空题-单空题
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适中
(0.65)
【推荐2】已知抛物线
的焦点为
,准线为
,点
是抛物线
上一点,过点
作准线
的垂线,交
于点
,若
,
,则抛物线
的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
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