名校
解题方法
1 . 抛物线
上的动点P到点
的距离等于它到C的准线距离,则P到焦点距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623afc24f2227004b0e1b3922dfb954b.png)
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7日内更新
|
41次组卷
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2卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第四次调研考试(5月)数学试题
名校
解题方法
2 . 设F为抛物线
的焦点,A,B,C为抛物线上三点,若F为
的重心,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26ec5998ca8591bacd694d2fbf3b42c.png)
A.6 | B.8 | C.10 | D.12 |
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2024-06-08更新
|
552次组卷
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2卷引用:云南省玉溪市红塔区云南省玉溪第一中学2023-2024学年高二下学期6月月考数学试题
名校
解题方法
3 . 已知
,
分别为双曲线
:
的上、下两个焦点,点
恰为抛物线
:
的焦点,记点
为两曲线的一个公共点,且
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d373d735a7abcadb76e499cbcca51a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053e4bc2221a29664bff05c3fe0a8075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知P是抛物线
上一动点,过点P作圆C:
的两条切线,切点分别为A,B,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e688a33119867f6203dd8e19ed350f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35031ade086c0cb5adcd82aaef62462.png)
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名校
5 . 我们通常把圆、椭圆、抛物线、双曲线统称为圆锥曲线.通过普通高中课程实验教科书《数学》2-1第二章《圆锥曲线与方程》的章头引言我们知道,用一个垂直于圆锥的轴的平面去截圆锥,截口曲线(截面与圆锥侧面的交线)是一个圆.实际上,设圆锥母线与轴所成角为
,不过圆锥顶点的截面与轴所成角为θ.则当
,截口曲线为圆,当
时,截口曲线为椭圆;当
时,截口曲线为双曲线;当
时,截口曲线为抛物线.则在长方体
中,
,
,点P在平面ABCD内,下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ad7d1e3fad77908415415d6b2a90f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/051962073bb8d9fa55943300dfd2fa77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c1cfef1a4ccd3baa3bfc86e6c084f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
A.若点P到直线![]() ![]() |
B.若点P到直线![]() ![]() |
C.若![]() |
D.若![]() |
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6 . 已知抛物线
的焦点为F,直线l过点F且与抛物线交于P,Q两点,若
,则直线l倾斜角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b506620201eb6d9435ecb599c2bb98.png)
A.![]() | B.![]() | C.2 | D.3 |
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名校
解题方法
7 . 已知
是抛物线
的焦点,
是抛物线
上一动点,
是
上一动点,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](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/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a52a7dcc14a755f5d8db4ac8775be2.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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2024·全国·模拟预测
名校
解题方法
8 . 已知
为坐标原点,抛物线
的焦点为
,经过点
且斜率为
的直线
与抛物线
交于
两点(点
在第一象限),若
,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ed9b2d4c4fe575e806daf5000efb83.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
9 . 抛物线
的焦点为
,准线为
为
上一点,以点
为圆心,以
为半径的圆与
交于点
,与
轴交于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590df4979901489b0f96c4a88c519e5d.png)
_________ .
![](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/80e70c1b8951fdf7c6802ce0e92a0ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61f20a5abdb5deef164c7d633c2c8fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba98522ceb37043405a417e8cd27edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590df4979901489b0f96c4a88c519e5d.png)
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2024-04-26更新
|
940次组卷
|
2卷引用:湖南省长沙市雅礼中学2023-2024学年高二下学期5月检测数学试题
解题方法
10 .
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c2c180d75b4b3653dc4a11151f7248.png)
A.![]() | B.5 | C.![]() | D.6 |
您最近一年使用:0次
2024-04-24更新
|
206次组卷
|
2卷引用:四川省雅安市2024届高三下学期4月联考数学(理)试题