已知抛物线
的焦点为
,过点
的直线交
于
、
两点,线段
的中点为
,则直线
的斜率的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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22-23高三下·四川南充·阶段练习 查看更多[3]
更新时间:2023-04-18 08:43:21
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【推荐1】斜拉桥是将梁用若干根斜拉索拉在塔柱上的桥,它由梁,斜拉索和塔柱三部分组成,如图1,这是一座斜拉索大桥,共有10对永久拉索,在索塔两侧对称排列,如图2,已知拉索上端相邻两个针的间距
约为
,拉索下端相邻两个针的间距
均为
,最短拉索的针
,满足
,以
所在直线为
轴,
所在直线为
轴,则最长拉索所在直线的斜率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/8a2dc78f-243c-45d1-92d2-48bd0825ecc5.jpg?resizew=427)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd00688c6ca96b4f2bda06f166be52fa.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/8a2dc78f-243c-45d1-92d2-48bd0825ecc5.jpg?resizew=427)
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【推荐2】已知
、
是椭圆上关于原点对称的两点,
是椭圆上任意一点,且直线
、
的斜率分别为
、
(
),若
的最小值为
,则椭圆的离心率为
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
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【推荐1】如图,
,
是焦点为
的抛物线
上的两个不同的点,且线段
的中点
的横坐标为3,直线
与
轴交于
点,则点
的横坐标的取值范围是( )
![](https://img.xkw.com/dksih/QBM/2020/3/4/2412228362665984/2412524651626496/STEM/d33b530a6dfd4aedb2c90aae268e39c9.png?resizew=177)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2020/3/4/2412228362665984/2412524651626496/STEM/d33b530a6dfd4aedb2c90aae268e39c9.png?resizew=177)
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【推荐2】定长为6的线段AB两个端点在抛物线
上移动,记线段AB的中点为M,则M到y轴距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
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