已知抛物线
的焦点为
,经过点
的直线
与抛物线
交于
两点,其中点A在第一象限;
(1)若直线
的斜率为
,求
的值;
(2)求线段
的长度的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d160544ddb1498b294c1798399e881d1.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6f832355c03fad4f13c994289d6b6.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
21-22高二上·江苏南通·期末 查看更多[3]
更新时间:2022-02-27 11:27:02
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【推荐1】已知斜率为2的直线
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【推荐2】有一条光线沿直线
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,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de72a5190834f5dbe895596656c038b3.png)
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【推荐1】世界上单口径最大、灵敏度最高的射电望远镜“中国天眼”——
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米,是由我国天文学家南仁东先生于
年提出构想,历时
年建成的.它的一个轴截面是一个开口向上的抛物线
的一部分,放入如图所示的平面直角坐标系内.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/84a503fc-d293-44ce-86a5-70743d4e54bb.png?resizew=194)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/9f219a94-50f5-477b-b612-66ddfcd4d50c.png?resizew=181)
(1)求
的方程;
(2)一束平行于
轴的脉冲信号射到
上的
点,反射信号经过
的焦点
后,再由
上点
反射出平行脉冲信号,试确定点
的坐标,使得从入射点
到反射点
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d8693a2d18769c21d069c816560f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5228e12b405650233c49a0b19b5400c5.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/9f219a94-50f5-477b-b612-66ddfcd4d50c.png?resizew=181)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)一束平行于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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【推荐2】已知抛物线
,p为方程
的根.
(1)求抛物线的方程;
(2)若抛物线与直线
无公共点,求此抛物线的通径
(通径:过抛物线的焦点且与对称轴垂直的直线被抛物线所截得的线段).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffa6a8471c126c4c6b789490d84144b.png)
(1)求抛物线的方程;
(2)若抛物线与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daab03b1642f1ea187c94f62088ac0fd.png)
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