1 . 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
名校
解题方法
2 . 设抛物线
的焦点为
,过抛物线上点
作其准线的垂线,设垂足为
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2665c7b4717196456ef35b6566db7b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c84a09595eabd6ae21a2e8faa7465c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-29更新
|
3574次组卷
|
9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
名校
解题方法
3 . 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/5bf92a1ba410263d4f68b7e0432b19aa.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/1dde8112e8eb968fd042418dd632759e.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/d0a0328dde917c3e6d0f1ca9ddb6027b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f05fc6915220cf15717ff47b31c33e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e065fbbc5c8160545b51f50b2a9606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bad299e2782c072d27e1c54422cc8fc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-29更新
|
395次组卷
|
4卷引用:陕西省百师联盟2024届高三下学期开年摸底联考文科数学试题(全国卷)
陕西省百师联盟2024届高三下学期开年摸底联考文科数学试题(全国卷)陕西省西安市长安区第三中学2024届高三下学期开学摸底联考文科数学试题(已下线)考点3 平面向量的数量积 --2024届高考数学考点总动员【讲】四川省绵阳市东辰学校2024届高三下学期第二学月考试数学(理科)试题
名校
4 . 若双曲线
的实轴长为2,离心率为
,则双曲线的左焦点
到一条渐近线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
A.![]() | B.![]() | C.1 | D.2 |
您最近一年使用:0次
2024-02-29更新
|
1892次组卷
|
9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)
5 . 已知抛物线
的焦点为
,设
为
上不重合的三点,且
.
(1)求
;
(2)若
均在第一象限,且直线
的斜率为
,求
的坐标.
![](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/89fc107c4b33d6dd648b396156494ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8b8314e812ef60554e1caeb5707ed0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0fef2d1461ae1a95f0a69c7fb49594.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2933e6e1635d0399ce29b2e5191841a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
为坐标原点,点
在抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dbdab996556fcf8b6e1acc0aa2e3f8.png)
上,过点
的直线交抛物线
于
两点,其中正确结论的个数有( )
①抛物线
的准线方程为
②直线
与抛物线
相切
③
为定值5 ④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f96ddb6b56f9ce7268b62cbc1a748d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd056ad7b4674fe46f04643fe175538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dbdab996556fcf8b6e1acc0aa2e3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75ed10db4b9747a4b6d865b774f6b6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b54b9cf95418bc3dce6e4c698b9907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
①抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5215b714cde3ed7790b3ed4f6711c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f96ddb6b56f9ce7268b62cbc1a748d.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
7 . 已知抛物线
的焦点与双曲线
的一个焦点重合,则该双曲线的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6c984ee8c0cd3b62b344440965717f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cda4d88c1b9bce32712cf4d854a0939.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-31更新
|
286次组卷
|
2卷引用:陕西省汉中市汉台区2024届高三上学期第四次校际联考数学(文)试题
8 . 如图,设抛物线
的焦点为
,不经过焦点的直线上有三个不同的点
,其中点
在该抛物线上,点
在
轴上,若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/230227f5-e6e5-4606-abef-f9f6abfdd647.png?resizew=130)
![](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/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af5924c55225284029a491738ce558f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce96b76b881d40b9ea9467514c93fba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/230227f5-e6e5-4606-abef-f9f6abfdd647.png?resizew=130)
A.![]() | B.![]() | C.![]() | D.3 |
您最近一年使用:0次
2024-01-20更新
|
1283次组卷
|
8卷引用:陕西省榆林市2024届高三一模数学(理)试题
名校
解题方法
9 . 已知抛物线
的焦点为F,准线为l,过点F且倾斜角为
的直线交抛物线于点M(M在第一象限),
,垂足为N,直线NF交x轴于点D,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33a3f384acb53b5a21521a77ac0b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d5b64a95e549c9404bc18e9d001927.png)
A.2 | B.![]() | C.4 | D.![]() |
您最近一年使用:0次
2024-01-12更新
|
271次组卷
|
3卷引用:陕西省安康中学2023届高三下学期5月学业质量检测(三)文科数学试题
10 . 已知
为抛物线
上的一点,
为
的焦点,
为坐标原点.
(1)求
的面积;
(2)若
为
上的两个动点,直线
与
的斜率之积恒等于
,作
,
为垂足,证明:存在定点
,使得
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706e0350fd1c36a4e3c66868a8218a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.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)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d953266f08eb217f1b174c1729e0ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f479d987bc7abd828c64f9dc745836ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40d4cc8903167433159d13fb91e59e2.png)
您最近一年使用:0次