1 . 如图,过抛物线
的焦点
的直线交抛物线于点
,
,交抛物线的准线
于点
,若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/a67e9477-711d-407c-92c8-e15b486cf5aa.png?resizew=135)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40dafd542b1cba47e4ee2e142dd1f57a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/7d672a56cac906638722a0db3658472e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/a67e9477-711d-407c-92c8-e15b486cf5aa.png?resizew=135)
A.2 | B.3 |
C.4 | D.1 |
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2020-03-26更新
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2卷引用:2019届甘肃省临泽县第一中学高三上学期期中数学(理)试题
名校
解题方法
2 . 已知曲线
上任意一点到定点
的距离比到
轴的距离大1,
为坐标原点,
,
是曲线
上异于
的两点.
(1)求出曲线
的方程;
(2)若直线
,
的斜率之积等于
,判断直线
是否过定点,如果过定点,请求出定点坐标;如果不过定点,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2020-03-04更新
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2卷引用:甘肃省金昌市永昌县第一高级中学2020-2021学年高二下学期期中数学(理)试题
11-12高二下·四川成都·期中
名校
解题方法
3 . 若点
在以点
为焦点的抛物线
为参数)上,则
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baed36372caeb790bb9fce7c36b8e047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d8bb3cf29a5be3bc9d4f1ba68ea09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4392b26f9107a7c7a475e8abcef093c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-03更新
|
1419次组卷
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10卷引用:甘肃省宁县第二中学2018-2019学年高二下学期期中考试数学(文)试题
甘肃省宁县第二中学2018-2019学年高二下学期期中考试数学(文)试题(已下线)2011-2012学年四川省成都外国语学校高二下学期期中考试数学试卷陕西省宝鸡中学2019-2020学年高二下学期期中理科数学试题山西省古县第一中学2019-2020学年高二下学期期中数学(理)试题2014-2015学年湖南省益阳市箴言中学高二3月月考理科数学试卷2015-2016学年海南省国兴中学高二下第一次月考文数学卷福建省三明市第二中学2016-2017学年高二第二学期阶段(1)考试数学(文)试题吉林省白城市通榆县第一中学2019-2020学年高二下学期第一次网络考试数学试题四川省阆中中学2019-2020学年高二下学期第二次月考数学(文)试题四川省阆中中学2019-2020学年高二6月月考数学(文)试题
名校
4 . 已知点
的坐标为(5,2),F为抛物线
的焦点,若点
在抛物线上移动,当
取得最小值时,则点
的坐标是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab25e4f4acfb0934bf0125577bbdc90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b21d60edc9dac900d533ece30c9fa84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.(1,![]() | B.![]() | C.![]() | D.![]() |
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2018-01-28更新
|
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7卷引用:甘肃省肃南县第一中学2017-2018学年高二上学期期中考试数学(文)试题
5 . 已知点
及抛物线
上一动点
,则
的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7bb9bce537630d4c7756772ac8de5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064c6301a4ef6b0240132e0779281b6a.png)
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名校
6 . 已知倾斜角为
的直线过曲线
的焦点
,且与
相交于不同的两点
(
在第一象限),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb51b9591885e76530a5e2f4283a4db.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2bc3890170ca8e3295287248f5ff0b1.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb51b9591885e76530a5e2f4283a4db.png)
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2020-04-17更新
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6卷引用:甘肃省金昌市永昌县第一高级中学2021-2022学年高二下学期期中数学(文)试题
名校
7 . 已知抛物线
的焦点为
,准线为
,点
是
上一点,点
是直线
与
的一个交点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d804d794b113cac3a26961bf8ef29f6.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/0f85fca60a11e1af2bf50138d0e3fe62.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/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf4e0a17ced4673f1639686c3c8cad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d804d794b113cac3a26961bf8ef29f6.png)
A.![]() | B.3 | C.![]() | D.6 |
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631次组卷
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4卷引用:2019届甘肃省临泽县第一中学高三上学期期中考试数学(文)试题
解题方法
8 . 以下命题中:
①命题:“
”的否定是“
”;
②点
是抛物线
上的动点,点
是
在
轴上的射影,点
的坐标是
,
③命题“若
则
”与命题“若非
,则非
”互为逆否命题;
④若过点
的直线
交椭圆
于不同的两点
,且
是
的中点,
则直线的方程是
.
其中真命题的序号是__________ .(写出所有真命题的序号)
①命题:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195f54af52a90b8e70c8d44753a7510a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d336547879acbb9fcb16effce53ef8.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73182f6cdad89fe9ffe8871683e8788e.png)
则的最小值是
;
③命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
④若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3752eaf8b6f65d3faf930dc54bf2ef1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
则直线的方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d717a25a45873801c0e6c1cba9468cd.png)
其中真命题的序号是
您最近一年使用:0次
2017-02-08更新
|
622次组卷
|
2卷引用:甘肃省肃南县第一中学2017-2018学年高二上学期期中考试数学(文)试题
9 . 已知抛物线
:
(
)上的一点
的横坐标为3,焦点为
,且
.直线
:
与抛物线
交于
,
两点.
(1)求抛物线
的方程;
(2)若
是
轴上一点,且
的面积等于9,求点
的坐标.
![](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/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebd95316310e6f9dc02f10a60cbc34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c30fd97fafb3779aa4f4660f41e2939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2016-12-04更新
|
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3卷引用:甘肃省肃南县第一中学2016-2017学年高二下学期期中考试数学(理)试题