名校
1 . 已知抛物线
的焦点为
,点
在抛物线
上,点
在
轴上的投影为点
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0152399693533f1c3b70693bb16907ba.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-14更新
|
240次组卷
|
3卷引用:陕西省西安市第一中学2024届高三下学期高考预测数学(文科)试题
名校
2 . 设抛物线
:
的焦点为
,点
在
上,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1d93f21f39ebf95b5929b456814246.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/9cd7c81b0466e910785f46a72870de28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53e53760f14c161a13e1017558dfb28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c84a09595eabd6ae21a2e8faa7465c.png)
A.![]() | B.6 | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-16更新
|
191次组卷
|
3卷引用:陕西省西安市第一中学2024届高三第四次质量监测文科数学试题
名校
3 . 古希腊的几何学家用一个不垂直于圆锥的轴的平面去截一个圆锥,将所截得的不同的截口曲线统称为圆锥曲线如图所示的圆锥中,AB为底面圆的直径,M为PB中点,某同学用平行于母线PA且过点M的平面去截圆锥,所得截口曲线为抛物线.若该圆锥的高
,底面半径
,则该抛物线焦点到准线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae890f9e8b32aa53a54158f24f4a87bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
A.2 | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-13更新
|
256次组卷
|
4卷引用:陕西省安康市高新中学2024届高三下学期5月适应性试题(二)文科数学试题
解题方法
4 . 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
5 . 已知点
,动点P到y轴的距离为d,且
,记点P的轨迹为曲线C.
(1)求C的方程;
(2)若
,
是C上不同的两点,点A在第一象限,直线
的斜率为k,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791557dfabd573162b8b424092e2274c.png)
(1)求C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921502954d8f4c6e58a95487018a8a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16456252f5180e3d3619247984d5b26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d432226fb06dd15f26d72d9aee824b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
您最近一年使用:0次
2024-03-05更新
|
134次组卷
|
2卷引用:陕西省部分学校2023-2024学年高二下学期开学摸底考试数学试卷
解题方法
6 . 已知抛物线
:
上任意一点
到焦点
的距离比
到
轴的距离大1.
(1)求抛物线
的方程;
(2)直线
,
满足
,
,
交
于
,
两点,
交
于
,
两点.求四边形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b57a362a4262f1ed00b7e820a06c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
7 . 已知抛物线
的焦点为
,点
在
上,且
,则
( )
![](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/a66c5f00b5b38a2d052354b5611970e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bf417767442935d2b9e49d18fbea79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cfed9c83873d6ef3cae01a376832cdc.png)
A.8 | B.10 | C.11 | D.15 |
您最近一年使用:0次
8 . 过抛物线
的焦点作直线交抛物线于
两点,若
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58168edb2306922360573f6ba14e90c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
您最近一年使用:0次
2024-02-28更新
|
451次组卷
|
3卷引用:陕西省西安市周至县第六中学2023-2024学年高二上学期1月期末考试数学试题
9 . 抛物线
的焦点为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428056905336bfaf1b7fca039b700ebb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 一动圆经过点
且与直线
相切,设该动圆圆心的轨迹为曲线C.
(1)求C的方程;
(2)若直线l与C交于A,B两点,且线段AB的中点坐标为
,求l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c351299dbe0660edc4a71497b387ec18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
(1)求C的方程;
(2)若直线l与C交于A,B两点,且线段AB的中点坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52fe874d253faa184f61b1a3d7de7fd5.png)
您最近一年使用:0次
2024-02-28更新
|
191次组卷
|
2卷引用:陕西省西安市鄠邑区2023-2024学年高二上学期期末考试数学试题