名校
1 . 已知直线l:
与抛物线C:
交于
,
两点,点A,B在准线上的射影分别为点
,
,若四边形
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2348e2bbfb3ab494d0476dcd68b3effb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b7b7793d29d66dfdd89e7a6564a35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7452ddb20286551f2d4ba3e7a76bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
您最近一年使用:0次
2022-03-01更新
|
285次组卷
|
3卷引用:百师联盟2022届高三下学期2月开年摸底联考全国卷1文科数学试题
名校
解题方法
2 . 已知抛物线
的焦点为
,点
在抛物线
上,点
在抛物线
的准线
上,若
,且
,则
到
的距离为______ .
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/52c2cd1a320139bb46d1d26f87d7c8ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717a112d118cf1891a59535ea7d17414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2022-02-26更新
|
267次组卷
|
2卷引用:1号卷·A10联盟2022届高三下学期开年考文科数学试卷
名校
解题方法
3 . 已知抛物线
的焦点为
,准线为
,过点
的直线与抛物线交于
两点(点B在第一象限),与准线
交于点P.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf0eb63b516b31feed7b756c09ffd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1cc831b130e8927eb071aa9eec72ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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4 . 设抛物线
的准线为l,焦点为F,以点
为圆心的圆过点F且与l相切,点A,B分别在C与l上,点O为原点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e79eae45603cb87ecd62cf646ec696.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38620d68461307e424923b903ab518f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853fe3de394e2d6d073997c7e4f7f691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e79eae45603cb87ecd62cf646ec696.png)
您最近一年使用:0次
5 . 已知拋物线
的焦点F为
,过点F的直线交该抛物线的准线于点A,与该抛物线的一个交点为B,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02bf15134c87d996935fed34efe3c30e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afca41d5fb60bef71ec3ccbffe8c182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7651aee7eb8a52956cb1ab7c1995b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c0c53a90c08c22ec5d0bb05335782b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02bf15134c87d996935fed34efe3c30e.png)
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解题方法
6 . 已知抛物线C的方程为:
,F为抛物线C的焦点,倾斜角为
的直线
过点F交抛物线C于A、B两点,则线段AB的长为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e0c2455a9e796bba6861503f0fe31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2022-01-25更新
|
669次组卷
|
7卷引用:安徽省合肥市肥东县综合高中2022-2023学年高二下学期开学考试数学试题
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解题方法
7 . 已知
为抛物线
上的动点,
,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38819052eaceacf69b41b33bcde9e112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8040141b93e99c6cbfb5eb57101c6d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/806387a8be25d21ba6bce2e8e880773f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1b3031d7393a63719166285314d73f.png)
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2022-01-13更新
|
451次组卷
|
5卷引用:安徽省亳州市第一中学2021-2022学年高二上学期期末检测数学试题
安徽省亳州市第一中学2021-2022学年高二上学期期末检测数学试题黑龙江省大庆市2022届高三上学期第二次教学质量检测数学(文科)试题辽宁省辽阳市2021-2022学年高二上学期期末考试数学试题黑龙江省大庆市2022届高三上学期第二次教学质量检测数学(理科)试题(已下线)高二上学期期末【常考60题考点专练】(选修一+选修二)-2022-2023学年高二数学考试满分全攻略(人教A版2019选修第一册)
2022高三·全国·专题练习
名校
解题方法
8 . 已知抛物线:
,焦点为
,若
在抛物线上且在第一象限,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647ae0212f02c3d61f18b144584e31e1.png)
,求直线
的斜率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21be4ca5919e23d17c902a3b09b0f0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647ae0212f02c3d61f18b144584e31e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689b553f14ed5d5015ab85ee3b90e871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2021-12-04更新
|
1126次组卷
|
10卷引用:安徽省合肥市第八中学2021-2022学年高二下学期实验班开学考数学试题
安徽省合肥市第八中学2021-2022学年高二下学期实验班开学考数学试题(已下线)专题30 抛物线-2022年高三毕业班数学常考点归纳与变式演练(文理通用)(已下线)2020年新高考全国1数学高考真题变式题11-16题(已下线)第15讲 抛物线-2(已下线)专题12平面解析几何必考题型分类训练-1(已下线)重组卷01(已下线)3.3.1 抛物线及其标准方程(分层作业)(5种题型)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第一册)(已下线)第07讲 抛物线及其性质(练习)北京市东城区景山学校2024届高三上学期12月月考数学试题湖南省长沙外国语学校2023-2024学年高二下学期3月月考数学试题
名校
解题方法
9 . 设抛物线
的焦点为
,点
在
上,
,若以
为直径的圆过点
,且
,则抛物线
的标准方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df40ba57bb5819b4aaa38d514500052.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/4ff29e80ba6c16e1177e7873a396a7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fc29554fd88f3e179bcd9a2cb65645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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10 . 已知点P为抛物线C:
上的动点,过点P作圆M:
的一条切线,切点为A,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ecf7a6913d90c2df051d608011cc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d17c2b9771be0a6851e2f75105b5f37.png)
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2021-09-06更新
|
1382次组卷
|
2卷引用:安徽省江淮十校2021-2022学年高三上学期第一次联考文科数学试题