解题方法
1 . 已知抛物线
的焦点为
,圆
以
为圆心,且过坐标原点,过
作倾斜角为
的直线
,与
交于点
,
,与圆
交于点
,
,其中点
,
均在第一象限,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0312acfa80f3ffd147e7c7c9a965ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/a0ed1ec316bc54c37c4286c208f55667.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e77e7070d6b0ae77aa41e1aca32216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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2 . 设抛物线
的焦点为
,准线为
,
是抛物线上位于第一象限内的一点,过
作
的垂线,垂足为
,若直线
的倾斜角为120°,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd05d243091ba3ec8da3d33fc5956e2.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0261104a7c308433a0c0508ff20ea29a.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/dad2a36927223bd70f426ba06aea4b45.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/8b8db072e2b6104671b82f948012fb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd05d243091ba3ec8da3d33fc5956e2.png)
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3 . 如图,已知过抛物线
(
)的焦点
的直线与抛物线交于
两点,过点A作抛物线的准线的垂线
,垂足为
,抛物线的准线与
轴交于点
,
为坐标原点,记
,
,
分别为
,
,
的面积.若
,则直线
的斜率为______ .
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a07ff78c166793f5e8d23f0b7f4be8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066afbd3603bccf7d9591c4ac48f552e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187e4941e2d8f5f8a1bb60f852588de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2024-04-22更新
|
852次组卷
|
4卷引用:四川省成都市外国语学校2024届高三高考模拟(五)理科数学试题
(已下线)四川省成都市外国语学校2024届高三高考模拟(五)理科数学试题湖北省黄石市第二中学2023-2024学年高三下学期三模考试数学试题河南省信阳市新县高级中学2024届高三4月适应性考试数学试题辽宁省鞍山市第一中学2024届高三下学期八模数学试卷
名校
解题方法
4 . 已知抛物线
的焦点为F,
是抛物线上的两点,若
,则
的中点到
轴距离的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4daf40bad1cc89311930cce356672354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ed9d97b8745ed1c15349ea3fffc299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
解题方法
5 . 已知抛物线
的焦点为
,在
上有一点
满足
,则点
到
轴的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b871eae04a8d29a655fdf9a23f77e58b.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3970c867134cdbfacdd89e79f229165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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2024-02-23更新
|
230次组卷
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3卷引用:四川省达州外国语学校2023-2024学年高二下学期3月月考数学试题
四川省达州外国语学校2023-2024学年高二下学期3月月考数学试题上海市华东师范大学第二附属中学2023-2024学年高二上学期期末考试数学试卷(已下线)专题04 圆锥曲线(六大题型+优选提升题)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)
6 . 已知点F为抛物线
的焦点,第一象限的点
在该抛物线上,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f83a841ffc534468a09b824bb5b694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d609cb7f8b4d79e8b65c0b8a0672d240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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7 . 已知抛物线
的焦点为
,过
的直线与抛物线
交于A,B两点(点A在第一象限),若点D为抛物线
的准线上一点,且
,则直线
的斜率为___________ .
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abac61d253f694e756215f5dc5ed6e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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名校
解题方法
8 . 已知抛物线
的焦点为
,
,点P为第一象限内的点,且在抛物线C上,则
的最小值为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020f93706a12a66231bdaadb40ae221e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcfd2a3a4afb13aaa6b7f5ea2b4a3a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bf3b82ac1583845f084764ff7c85a1.png)
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9 . 已知抛物线
的焦点为
为坐标原点,
为抛物线
上一点,且满足
,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c9d45602fc7a356828b867e891516d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09224287f31db61f4335560cdaf28ae3.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/1161387ab7c0ca8e298967fd25a0d13d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c71c49dc9a9de1a0221769e4eb8616.png)
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2024-01-05更新
|
484次组卷
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3卷引用:四川省绵阳市三台县三台中学校2024届高三上学期二诊模拟数学(理)试题(一)
四川省绵阳市三台县三台中学校2024届高三上学期二诊模拟数学(理)试题(一)(已下线)专题13抛物线(2个知识点2个拓展2个突破7种题型4个易错点)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)安徽省马鞍山市当涂县第一中学2023-2024学年高二上学期1月期末测试数学试题
10 . 已知
为抛物线
上一点,点
到
的焦点的距离为9,到
轴的距离为6,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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