名校
解题方法
1 . 已知
为抛物线
的焦点,
是
上三点,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c42d88e496a17562d25195301e0ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a6be776cdd229e5c1339265b23624a.png)
A.当![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.过点![]() ![]() ![]() ![]() |
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名校
解题方法
2 . 已知抛物线C:
的焦点为F,准线为l,过点F且倾斜角为
的直线在第一象限交C于点A,若点A在l上的投影为点B,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179d7920ec6cd22f3a0cfa6738260153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.1 | B.2 | C.![]() | D.4 |
您最近一年使用:0次
2023-12-14更新
|
726次组卷
|
5卷引用:河北省定州市第二中学2023-2024学年高二上学期12月月考数学试题
河北省定州市第二中学2023-2024学年高二上学期12月月考数学试题河南省商丘市虞城县高级中学2023-2024学年高二上学期第二次月考数学试题河北省石家庄市第十八中学2023-2024学年高二上学期第三次月考数学试题河北省保定市部分高中2023-2024学年高二上学期期中数学试题(已下线)专题20 抛物线的定义和焦半径公式及抛物线的标准方程(期末选择题20)2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)
3 . 已知
是抛物线
上一点,它在抛物线
的准线
上的射影为点
是抛物线
的焦点,若
是边长为2的等边三角形,则抛物线
的准线
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14c7b9b6ca03a7e041158ba8ca051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a9bf6bda9363dbef5f6ff4bf6a5edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 已知F为抛物线
的焦点,A为抛物线上的一点,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ba3a6326dc83632fa772c1d34cbff9.png)
A.焦点![]() | B.准线方程![]() |
C.点![]() ![]() | D.焦点到准线的距离为4 |
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5 . 抛物线
(
)的焦点为F,点M在抛物线上,且
,FM的延长线交y轴于点N,若M为线段FN的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ccbe924f01cb741fb316ea0673a4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.![]() | B.4 | C.6 | D.8 |
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解题方法
6 . 已知抛物线
:
的焦点为
,
为抛物线C上的点,且
.
(1)求抛物线
的方程;
(2)若直线
与抛物线
相交于A,B两点,求弦长
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55119369a4b097d1260039fbbad9316f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7763fe9b98015f0022975a759756d9a7.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026808536f6b6d265c778e23836fbf13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2401bc9c26cc3b0b8384c7139bd58fff.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
是抛物线
上任意一点,
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fdedd1db38755989cd462c151f5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/622d475f7785b71633f058e6da3c7d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f61edaaa326896f6e48245c9d7a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e255cb6ef5a18b9e800397c55a81bf9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-07更新
|
399次组卷
|
2卷引用:吉林省长春市长春外国语学校2023-2024学年高二上学期第二次月考(12月)数学试题
名校
8 . 设抛物线
的焦点为
,点
在
上,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/712f3e68dece7f14f4f5c3df0853588c.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/0b8bd90fa624b0f887297733415aa6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53e53760f14c161a13e1017558dfb28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c84a09595eabd6ae21a2e8faa7465c.png)
A.![]() | B.12 | C.![]() | D.![]() |
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2023-11-30更新
|
268次组卷
|
3卷引用:河北省邢台市质检联盟2023-2024学年高二上学期第三次月考(11月)数学试题
河北省邢台市质检联盟2023-2024学年高二上学期第三次月考(11月)数学试题新疆维吾尔自治区石河子市第一中学2023-2024学年高二上学期12月月考数学试题(已下线)专题20 抛物线的定义和焦半径公式及抛物线的标准方程(期末选择题20)2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)
9 . 已知
为坐标原点,过点
作两条直线分别与抛物线
相切于点
,
,
的中点为
,下面给出了四个结论:
①直线
过定点
;
②
的斜率不存在;
③
轴上存在一点
,使得直线
与直线
关于
轴对称;
④
,
两点到抛物线准线的距离的倒数和为定值.
其中正确结论的编号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3efe64291ba2d93e7e5532cac16cfb87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
③
![](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/c023f4b501684abd869b36d6e6c7f21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279563c3c055777ce1aa369a2ef54aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
其中正确结论的编号是( )
A.①② | B.②③ | C.②③④ | D.①③④ |
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2023-11-29更新
|
645次组卷
|
3卷引用:河南省光山县第二高级中学2023-2024学年高三上学期11月阶段测试数学试题
名校
10 . 已知抛物线
的焦点为
,准线为
,点
在抛物线
上,过
作
的垂线,垂足为
,若
(
为坐标原点),则
( )
![](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/bfa2c333eb3a718785c053a900c10d9a.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e430de9d088494fae303e65baf93a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
A.5 | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-29更新
|
483次组卷
|
2卷引用:贵州省黔东南州九校2024届高三上学期11月月考数学试题