名校
1 . 已知抛物线
的焦点为
,半径为6的圆
过坐标原点
以及
,且与该抛物线的准线
相切,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
____________ .
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/df5be1440d099f464ef46dee39de6010.png)
您最近一年使用:0次
2024-06-07更新
|
473次组卷
|
3卷引用:陕西省西安市第一中学2024届高三下学期模拟考试数学(文科)试题
2 . 已知抛物线
上的点
到焦点的距离为3,则点
到
轴的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
3 . 若直线
与抛物线
和圆
从左到右依次交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a4524b421a9b635f86fff5cf4e44c1.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1053ca52f2879c7f8bb8a40dceb3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191e30bd3393e4a8d4be3f06c90549ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e997474d753f7faca94009a42f7ae014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db2ca6d163be93b18959beb75ac588b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a4524b421a9b635f86fff5cf4e44c1.png)
您最近一年使用:0次
解题方法
4 . 已知抛物线
的焦点为
,准线为
,抛物线
与双曲线
的一条渐近线交于点
(
在第一象限),过
作
的垂线,垂足为
.若直线
的倾斜角为
,则双曲线
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8db072e2b6104671b82f948012fb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
5 . 已知抛物线
上的点P到其准线的距离为6,则点P的横坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
您最近一年使用:0次
6 . 在水平地面竖直定向爆破时,在爆破点炸开的每块碎片的运动轨迹均可近似看作是抛物线的一部分.这些碎片能达到的区域的边界和该区域轴截面的交线也是抛物线的一部分(如图中虚线所示),称该条抛物线为安全抛物线.若某次定向爆破中安全抛物线达到的最大高度为30米,碎片距离爆炸中的最远水平距离为60米,则这次爆破中,安全抛物线的焦点到其准线的距离为______ 米.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/31/87b36d85-80a4-42ce-80e8-f1e0ff605f37.png?resizew=161)
您最近一年使用:0次
名校
7 . 已知抛物线
的焦点为
,位于第一象限的点
在
上,
为坐标原点,且满足
,则
外接圆的半径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d84ed7869e0d04058f98ffd902f4ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de97ac9a926e8dc041a196287de4006.png)
您最近一年使用:0次
2024-03-26更新
|
357次组卷
|
2卷引用:陕西省安康市2024届高三下学期第三次质量联考理科数学试题
解题方法
8 . 抛物线
的准线方程为______ ,写出一个以
的焦点为右焦点的椭圆的标准方程:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402dd4498f90bb6fbf4b792a66d8c302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
9 . 已知抛物线
的焦点为
,直线
与抛物线
相切于点
(异于坐标原点
,与
轴交于点
,若
,则向量
与
的夹角为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3904463e169fb25dbd36fa257edd2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e09d7770c8edce0f0d06083ea8745a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e065fbbc5c8160545b51f50b2a9606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bad299e2782c072d27e1c54422cc8fc.png)
您最近一年使用:0次
2024-03-12更新
|
267次组卷
|
3卷引用:陕西省百师联盟2024届高三下学期开年摸底联考理科数学试题(全国卷)
解题方法
10 . 已知抛物线
的焦点为
,点
在抛物线上,
垂直
轴于点
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6134e449feaaf1f322e98509eab12c2f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ccbe924f01cb741fb316ea0673a4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6134e449feaaf1f322e98509eab12c2f.png)
您最近一年使用:0次