已知F是抛物线C:y2=4x的焦点,过点F的直线l与抛物线C交于A,B两点,过AB的中点M作y轴的垂线与抛物线在第一象限内交于点P,若
,则M点的横坐标为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf012330ba3349d31ad9beb6e7c2fc91.png)
更新时间:2023-06-21 21:58:26
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适中
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解题方法
【推荐1】如图,
是抛物线
上的一点,
是抛物线的焦点,以
为始边、
为终边的角
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd1f7bf8f93c219c8716df185b66e1c.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4117b035c74777a33a7b6b5038ea8c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbd44d7c90a27479a52fd670df005cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c288b14dca4b164972feb073e850b55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd1f7bf8f93c219c8716df185b66e1c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/2/e850873e-34a7-495c-9332-6f3c4950b91b.png?resizew=122)
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解题方法
【推荐2】已知F是抛物线
的焦点,M是C上一点,FM的延长线交y轴于点N,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf8eb88cfd81f78a3dc0e35f5c2f102.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fa758d23bfde6c1994505050fb65ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf8eb88cfd81f78a3dc0e35f5c2f102.png)
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【推荐1】已知抛物线
的焦点为
,准线为
.过焦点的一条直线交抛物线于点
,
(
在第一象限).分别过点
,
作准线
的垂线,交准线于
,
.若
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d624a18acd4fccfedaf984862adc004.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9ca01ddf7121029e2c022d4a404227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc6058c5ccad415e93468855faefb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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【推荐2】已知
为坐标原点,过点
的直线与抛物线
交于
两点,设直线
的斜率分别为
,若
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850e9099d06b723d96603da184f250af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13933d48ba75543ab012b5536197af28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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