名校
解题方法
1 . 已知为抛物线
的顶点,直线
交抛物线于
两点,过点
分别向准线
作垂线,垂足分别为
,则下列说法正确的是( )
A.若直线![]() ![]() ![]() ![]() |
B.若直线![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2024-01-30更新
|
208次组卷
|
2卷引用:浙江省杭州第二中学2023-2024学年高二上学期期末考试数学试题
名校
解题方法
2 . 已知直线
与抛物线
相交于
,
两点,其中
,
.分别过
作抛物线准线的垂线,垂足分别
,线段
的中点到准线的距离为
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcdb7671e6056d842cdc88fb523467f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4399fefbfaa8cf9678cfcc1fe14cf29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.若直线![]() ![]() ![]() ![]() |
B.若直线![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() |
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2024-01-29更新
|
395次组卷
|
2卷引用:江苏省盐城市阜宁中学2023-2024学年高二上学期期末数学试卷
解题方法
3 . 已知抛物线C:
焦点为F,点P在抛物线上,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
A.![]() |
B.若点![]() ![]() ![]() |
C.若点Q在圆![]() ![]() ![]() |
D.若点Q在直线![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知抛物线
的焦点为
,准线为
,
是
上除坐标原点
以外的动点,过点
且与
相切的直线
与
轴交于点
,与
轴交于点
,
,垂足为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb7c718db30bba691fd75385a91ee97.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/4bcd8ee2d8367c167d6ae0abc741b6b8.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/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13b505788d3d02bf232ac637fc3a8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.若点![]() ![]() ![]() |
C.四边形![]() | D.![]() ![]() ![]() |
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2024-01-27更新
|
390次组卷
|
2卷引用:重庆市南开中学校2023-2024学年高二下学期阶段测试数学试题
5 . 直线
过抛物线C:
(
)的焦点F,且与C交于A,B两点,
为C的准线,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92020e8ae02f1b51d5c8d84e12bffa49.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.准线![]() ![]() |
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2024-01-26更新
|
223次组卷
|
2卷引用:内蒙古自治区锡林郭勒盟2023-2024学年高二上学期期末教学质量检测数学试卷
名校
6 . 已知
是抛物线
上的两动点,
是抛物线的焦点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64447af8454c613a58b11d9274d3da2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
A.直线![]() ![]() ![]() ![]() |
B.直线![]() ![]() ![]() |
C.若坐标原点为![]() ![]() ![]() ![]() |
D.若直线![]() ![]() ![]() ![]() ![]() ![]() |
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7 . 古希腊著名数学家阿波罗尼斯(约公元前262年至前190年)与欧几里得、阿基米德齐名,著有《圆锥曲线论》八卷.他发现平面内到两个定点的距离之比为定值
的点所形成的图形是圆.后来人们将这个圆以他的名字命名,称为阿波罗尼斯圆.已知在平面直角坐标系
中,
.点
满足
,设点
的轨迹为曲线
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9731dae1942389db94dc06154015fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7f5ab3e8ab6dc3e7ce2dc9babcb30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff4810a1b617cc85c20db534fc761d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.曲线![]() ![]() |
B.曲线![]() ![]() |
C.曲线![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
8 . 已知点O为坐标原点,直线
与抛物线
相交于A、B两点,焦点为F,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
A.![]() | B.![]() |
C.![]() | D.线段![]() |
您最近一年使用:0次
名校
解题方法
9 . 抛物线
的焦点是
,过焦点
的直线
与
相交于不同的两点
,
是坐标原点,下列说法正确的是( )
![](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/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/1dde8112e8eb968fd042418dd632759e.png)
A.以![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.![]() |
D.若![]() ![]() ![]() |
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2024-01-21更新
|
524次组卷
|
2卷引用:重庆市巴蜀中学校2023-2024学年高二上学期期末考试数学试题
10 . 过拋物线
:
的焦点
作直线
交抛物线
于A,
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.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/7f9e8449aad35c5d840a3395ea86df6d.png)
A.以线段![]() ![]() | B.![]() |
C.当![]() ![]() ![]() | D.![]() |
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2024-01-20更新
|
291次组卷
|
2卷引用:广东省广州市番禺区2023-2024学年高二上学期期末教学质量监测数学试题