2024高三下·江苏·专题练习
1 . (多选)如图,
为阿基米德三角形.抛物线
上有两个不同的点
,以A,B为切点的抛物线的切线
相交于点P.给出如下结论,其中正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea1ce7588f88b39746159233be9cd82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de77ee0b176035fd3a89edc2ad957a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/22/0de62401-af0e-45e3-9a66-f038896f971c.png?resizew=192)
A.若弦![]() ![]() ![]() |
B.点P的坐标是![]() |
C.![]() ![]() ![]() |
D.![]() ![]() |
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2 . 在平面直角坐标系
中,过抛物线
的焦点
作直线
交抛物线
于
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.![]() |
B.以线段![]() ![]() |
C.![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
解题方法
3 . 在平面直角坐标系
中,已知直线
经过抛物线
的焦点,
与抛物线相交于
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33400b08941f4f9c0ed12b0e0cdff822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.![]() | B.![]() |
C.线段![]() ![]() | D.![]() |
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4 . 在平面直角坐标系
中,已知抛物线
:
的焦点为
,点
,
为
上异于
不同两点,故
,
的斜率分别为
,
,
是
的准线与
轴的交点.若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.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/771a2abef658aab00d81a85ac26d9128.png)
A.以![]() ![]() | B.存在![]() ![]() ![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 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![]() ![]() ![]() |
您最近一年使用:0次
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
6 . 设过抛物线
的焦点F的直线交抛物线于A,B两点,A,B在抛物线准线上的射影分别为
,
则下列结论正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a392977eb6f2ceaa0d6ef2e9cfcf723.png)
A.![]() | B.以线段AB为直径的圆与抛物线的准线相切 |
C.若A、B 的纵坐标分别为![]() ![]() ![]() | D.弦AB 长度的最小值为p |
您最近一年使用:0次
解题方法
7 . 已知抛物线C:
的焦点为
,
是抛物线
上一个动点,点
,则下列说法正确的是( )
![](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/22962a2ad892cb6b14ab039a06e8cdc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
A.若![]() ![]() |
B.过点![]() ![]() |
C.![]() ![]() |
D.抛物线C:![]() |
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8 . 已知抛物线
,其中p是定值,过焦点
的直线l与抛物线交于P,Q两点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df40ba57bb5819b4aaa38d514500052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6d06b9a4d3a891ea7c986b1ab4e925.png)
A.以P,Q为直径的圆与抛物线的准线![]() |
B.过P,Q两点分别作抛物线C的切线,两条切线的交点在准线![]() |
C.若抛物线C的准线![]() ![]() |
D.若直线![]() ![]() ![]() |
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9 . 在平面直角坐标系
中,抛物线
:
的焦点为
,
,
,
为抛物线
上的任意三点(异于
点),
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bbc12d43365aecc58fd2b3db1bad59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477324a9cf156450cf25e2d868a23d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdeb69fba832e2d975ce1acd95474ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b9170b5fd6cf685f6f43f5ccc9bf3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2859d95f11654f0df7e88eb2837eac24.png)
A.设![]() ![]() ![]() ![]() ![]() ![]() |
B.![]() |
C.若![]() ![]() |
D.若直线![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
10 . 过抛物线
的焦点
作直线交抛物线于
两点,
为线段
的中点,则下列选项正确的是( )
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.以线段![]() ![]() |
B.以线段![]() ![]() |
C.当![]() ![]() |
D.当直线![]() ![]() ![]() |
您最近一年使用:0次