1 . 已知直线
过抛物线
的焦点,且与该抛物线交于
,
两点.若线段
的长是20,
中点到
轴的距离是8,
为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3216eaf304ac663dde585aba0af04a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.抛物线![]() ![]() | B.抛物线![]() ![]() |
C.直线![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2 . 如图,已知椭圆:
,过抛物线
:
的焦点F的直线交抛物线于M,N两点,连接NO,MO并延长分别交
于A、B两点,连接AB,
与
的面积分别记为
、
,则在下列结论中正确的为( )
A.若记直线NO,MO的斜率分别为![]() ![]() ![]() |
B.![]() ![]() |
C.设 ![]() ![]() |
D.![]() |
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3 . 已知直线l:
与抛物线C:
交于A,B两点,O为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f0388be717aac47bd61d24b2ffddf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
4 . 设直线
与抛物线
相交于
两点,且与圆
相切于
点,M为线段
的中点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5000e3f6b6192444dc50e1dff6c3873c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3511cdc6a9b56bc1d9415d3d94ef0f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
2024-03-03更新
|
316次组卷
|
2卷引用:浙江省丽水市2023-2024学年高二上学期1月期末教学质量监控数学试题
5 . 已知抛物线
的准线方程为
,焦点为
,点
是抛物线上的两点,抛物线在
两点的切线交于点
,则下列结论一定正确的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41edd4ff23f960f320ae1d4db1db423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cefaa98d70b2b26f304917c45d3c72cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.抛物线的方程为:![]() |
B.![]() |
C.当直线![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
解题方法
6 . 已知抛物线
:
的焦点为
,点
为抛物线
上一动点,点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2eaabc3705116778c73c8799890b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e648aa381d4c1ee6639536b0b1510a.png)
![](https://img.xkw.com/dksih/QBM/2024/1/29/3421479302193152/3432014929436672/STEM/01949a8ed7024ab299f550c785202fed.png?resizew=4)
A.抛物线![]() ![]() |
B.![]() |
C.当![]() ![]() ![]() ![]() |
D.过![]() ![]() ![]() ![]() |
您最近一年使用:0次
7 . 记
的图象为
,如图,一光线从x轴上方沿直线
射入,经过
上点
反射后,再经过
上点
反射后经过点P,直线
交直线
于点Q,下面说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48f28aeccf369df5980ac787e9e313f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793894c733026e3f5900b31538fcb731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2dff006a89ed43e44492206e8516e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/31/aa20bb41-5ed7-4e6e-b4b4-227c0a040307.png?resizew=154)
A.![]() | B.![]() |
C.以![]() ![]() | D.P,N,Q三点共线 |
您最近一年使用:0次
2023-12-12更新
|
562次组卷
|
6卷引用:浙江省强基联盟2023-2024学年高二上学期12月联考数学试卷
浙江省强基联盟2023-2024学年高二上学期12月联考数学试卷(已下线)模块三 专题1 小题入门夯实练(2) 期末终极研习室(高二人教A版)安徽省蚌埠市铁路中学2023-2024学年高二上学期12月月考数学试题(已下线)专题13抛物线(2个知识点2个拓展2个突破7种题型4个易错点)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)(已下线)专题03 圆锥曲线的方程(4)山东省枣庄市第八中学2023-2024学年高二上学期学科素养诊断数学试题
8 . 如图,已知抛物线
,过抛物线焦点
的直线
自上而下,分别交抛物线与圆
于
四点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/d0407051-dbaa-49f4-a060-2372bb2f2928.png?resizew=131)
![](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/e383fcc122f267043fbafe0972bfb900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20490cf9cedbd19be05c3ede9d80f504.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/d0407051-dbaa-49f4-a060-2372bb2f2928.png?resizew=131)
A.![]() | B.![]() |
C.当直线![]() ![]() ![]() | D.![]() |
您最近一年使用:0次
9 . 已知抛物线
上存在一点
到其焦点的距离为3,点
为直线
上一点,过点
作抛物线
的两条切线,切点分别为
为坐标原点.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83544c91ff4d5d0689f4014ee459005c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.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/ef644115c956ed62c3da8310c6f67ecd.png)
A.抛物线的方程为![]() | B.直线![]() |
C.线段![]() ![]() | D.![]() |
您最近一年使用:0次
2023-11-14更新
|
1167次组卷
|
6卷引用:浙江省金华第一中学2023-2024学年高二上学期11月期中数学试题
名校
解题方法
10 . 已知抛物线C:
的焦点为F,
,
是抛物线C上的两个不同的动点,点A关于x轴的对称点为
,抛物线C的准线交x轴于点P.下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.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/e7c314398e26ffc7164b82946eeb4273.png)
A.若直线![]() ![]() ![]() |
B.若直线![]() ![]() |
C.若直线![]() ![]() ![]() |
D.若直线![]() ![]() |
您最近一年使用:0次