名校
1 . 已知抛物线
:
的焦点为
,
为坐标原点,若
上存在两点
,
,使
为等边三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48f28aeccf369df5980ac787e9e313f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
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2023-03-26更新
|
368次组卷
|
3卷引用:云南省红河州2023届高三第二次复习统一检测数学试题
2 . 已知抛物线E:
的焦点为F,现有不同的三点A,B,C在抛物线E上,且
,
,则p的值是____________ ;若过点
的直线PM,PN分别与抛物线E相切于点M,N,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf4b92c913e1bf1c2e1ca8e079d5f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af67c65ac0551549865fd6dc07bba4ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8902bff3e60ecebdcd71bb2ee8bb97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
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名校
3 . 已知抛物线
的焦点为
,直线
与抛物线
相交于
两点,且与
轴相交于点
,若
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.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/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3319d59103e043fc3ed57beb30fce52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf952db1487ef018ab8db10ff8798b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59f5255859fa7e2fc77bd5606a7eb9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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4 . 已知抛物线
的焦点为
,准线为
.过焦点的一条直线交抛物线于点
,
(
在第一象限).分别过点
,
作准线
的垂线,交准线于
,
.若
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d624a18acd4fccfedaf984862adc004.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9ca01ddf7121029e2c022d4a404227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc6058c5ccad415e93468855faefb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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2023-03-01更新
|
479次组卷
|
2卷引用:云南省昆明市第三中学2023届高三下学期数学高考适应性课堂测试题
5 . 直线l过抛物线
的焦点
且与该抛物线交于
两点,若
,则
的值为___________ .
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5145e324d266ea30fda840d940710ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2022-12-27更新
|
806次组卷
|
2卷引用:云南省昆明市第一中学2023届高三上学期第五次二轮复习检测数学试题
名校
6 . 已知椭圆
:
的右焦点
是抛物线
:
的焦点,抛物线
的准线与
轴交于点
,设点
为椭圆与抛物线的一个交点,以
为直径的圆过点
,则椭圆的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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2023-02-04更新
|
109次组卷
|
3卷引用:云南省马关县第一中学2023届高三第七次月考数学试题
解题方法
7 . 直线
经过抛物线
的焦点,且与抛物线交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
____________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d103d683d2fd06b6fa9ec5523c2ea0c9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2d6304be636d7c6b0ebef06c251e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5545195ade2bda359e683715332e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d103d683d2fd06b6fa9ec5523c2ea0c9.png)
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名校
8 . 抛物线
的焦点到准线的距离是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ee43085dd55b10deb3626902d953f4.png)
您最近一年使用:0次
2022-11-07更新
|
1445次组卷
|
9卷引用:云南省昆明市第一中学2023届高三下学期数学复习试题
云南省昆明市第一中学2023届高三下学期数学复习试题云南省下关一中教育集团2022~2023学年高二上学期期中考试数学(A卷)试题云南省大理白族自治州大理市民族中学2023-2024学年高二上学期期中数学试题广东省兴宁市沐彬中学2022-2023学年高二上学期期中数学试题(A卷)广西钦州市浦北中学2022-2023学年高二上学期期中考试数学试题四川省成都市树德中学2022-2023学年高二上学期期末检测数学(理)试题四川省成都市树德中学2022-2023学年高二上学期期末检测数学(文)试题2.3抛物线 测试卷-2022-2023学年高二上学期数学北师大版(2019)选择性必修第一册河南省信阳市宋基信阳实验中学2023-2024学年高二上学期教学测评(四)数学试题
解题方法
9 . 已知F为抛物线
的焦点,P为抛物线上的动点,点
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290a56449ad6dd65aec7525c94273f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59988d77a3965c7f886829232dd33d72.png)
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2022-09-14更新
|
858次组卷
|
3卷引用:云南省部分学校2023届高三上学期9月联考数学试题
名校
10 . 设抛物线
的焦点为F,准线l与x轴交点为K,点A在C上,点A的横坐标为2,
,以F为圆心且与直线
相切的圆的方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f09521f83d92b5f6942d56c37a0128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4c6b0869d7248b6c2f964718a67702.png)
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2022-06-29更新
|
816次组卷
|
3卷引用:云南师范大学附属中学2023届高三高考适应性月考卷(一)数学试题