解题方法
1 . 已知抛物线
的焦点为
,点
是准线
上一点,
是
与抛物线的交点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1c964461c1e5c2466f20618eaf43a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
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解题方法
2 . 抛物线
上的点
到焦点的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d40e7df5241e65125d6050cdc85538.png)
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解题方法
3 . 已知抛物线
的焦点为F,其准线与x轴的交点为E,椭圆
的左、右顶点分别为A、B,E、F为线段AB的两个四等分点,
与
的交点的连线过
的焦点F,则
的离心率
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d624a18acd4fccfedaf984862adc004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8d6253904cc1d2cae22d90d4deae3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
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4 . 如图,南北方向的公路l,A地在公路正东2km处,B地在A东偏北
方向
处,河流沿岸曲线PQ上任意一点到公路l和到A地距离相等.现要在曲线PQ上一处建一座码头,向A、B两地运货物,经测算,从M到A、到B修建费用都为a万元
,那么,修建这条公路的总费用最低是___________ 万元.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e3dce65f4583f209cc69eed1674341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f904afd1a8c2d8954cecca592356ae85.png)
![](https://img.xkw.com/dksih/QBM/2021/1/7/2631023519629312/2638122562363392/STEM/d8ca24a7-6295-456e-867e-559da8be31b8.png?resizew=183)
您最近一年使用:0次
2021-01-17更新
|
87次组卷
|
2卷引用:黑龙江省嫩江市高级中学2020-2021学年高二上学期期末考试数学(文)试题
名校
5 . 抛物线
的焦点
到准线
的距离是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-04-06更新
|
602次组卷
|
9卷引用:黑龙江省牡丹江市穆棱一中2019-2020学年高二上学期期末数学(理)试题
黑龙江省牡丹江市穆棱一中2019-2020学年高二上学期期末数学(理)试题上海市闵行中学2020-2021学年高二上学期期末数学试题上海市高桥中学2022-2023学年高二上学期期末数学试题辽宁省大连市瓦房店市实验高级中学2019-2020学年高二上学期12月月考数学试题(已下线)专题2.2 圆锥曲线【章节复习专项训练】-2020-2021学年高二数学下学期期末专项复习(沪教版)四川省成都石室中学2022-2023学年高三下学期入学考试理科数学试题四川省成都石室中学2022-2023学年高三下学期入学考试文科数学试题上海市延安中学2022-2023学年高二下学期期中数学试题重庆市三峡名校联盟2023-2024学年高二上学期联考数学试卷
6 . 若抛物线
的一点
到其准线的距离为3,则点
到
轴的距离为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.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/81dea63b8ce3e51adf66cf7b9982a248.png)
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7 . 过抛物线
的焦点
的直线
与
相交于
两点,且
两点在准线上的射影分别为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eaae6662d60fa6cb21aaeb15f0a42b5.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc7fdeafe7a0fad69ad7b907b20c457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
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2020-03-13更新
|
784次组卷
|
4卷引用:黑龙江省哈尔滨市第九中学2020-2021学年度高二上学期期末考试数学(文)试题
名校
8 . 已知抛物线
,
为其焦点,
为其准线,过
任作一条直线交抛物线于
两点,
、
分别为
、
在
上的射影,
为
的中点,给出下列命题:
(1)
;(2)
;(3)
;
(4)
与
的交点的
轴上;(5)
与
交于原点.
其中真命题的序号为_________ .
![](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/01c74a907dda6bb7d9d56d009d9df253.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/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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7ea1e7d0a5ec592a231a1b33607558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7af3d5765382269f380d39b0ffc9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43bc90ef0279f04daf139ae0a7545b5.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f348ed8a1690d3ed02aa64459ca50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
其中真命题的序号为
您最近一年使用:0次
2020-01-30更新
|
727次组卷
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4卷引用:2020届黑龙江省牡丹江市爱民区第一高级中学高三上学期期末数学(理)试题
2020届黑龙江省牡丹江市爱民区第一高级中学高三上学期期末数学(理)试题2020届高三2月第01期(考点08)(理科)-《新题速递·数学》2020届河北省衡水中学高三高考考前密卷(一)数学(理)试题(已下线)专题10 解析几何小题问题之一角度-备战2020年高考数学二轮痛点突破专项归纳与提高
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9 . 已知抛物线
的焦点为
,点
在
上,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e03b72933683e88c45367baa2458e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481b4c52c41d4467d7db657caf7f1d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb12c1b2ac61d690faf0596a3a59e9b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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2018-12-08更新
|
968次组卷
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4卷引用:黑龙江省大兴安岭实验中学2021-2022学年高三上学期期末考试数学(文)试题
名校
10 . 已知点
,抛物线
:
(
)的准线为
,点
在
上,作
于
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323a6498191f76dbc18998dffb8e37d5.png)
![](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/dece47c23e53eca430269ad7b12e0891.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431edd18debb185c471b0efd95ed171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980358c127911792a1b0deada13533a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50dc37b2c6c5ef82fb4b8391c8e4a73b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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2017-04-18更新
|
551次组卷
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7卷引用:黑龙江省大庆中学2016-2017学年高二下学期期末考试数学(文)试题