1 . 过抛物线
的焦点作直线交抛物线于
两点,若
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58168edb2306922360573f6ba14e90c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
您最近一年使用:0次
2024-02-28更新
|
450次组卷
|
3卷引用:陕西省西安市周至县第六中学2023-2024学年高二上学期1月期末考试数学试题
解题方法
2 . 已知椭圆
:
(
)的左焦点为
,短轴长为2.
(1)求椭圆的方程;
(2)过点
、斜率为1的直线
交椭圆
于
,
两点,
为坐标原点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7422cbdb4ad06d155abb2ccdb25ded.png)
(1)求椭圆的方程;
(2)过点
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
解题方法
3 . 已知双曲线
与直线
相交于M、N两点,且M、N两点的纵坐标之积为
,则该双曲线的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0e308d06579ae683524a6c04d9872c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eaeeef60273e0fbec9b47d608059f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
您最近一年使用:0次
4 . 已知双曲线
的离心率为
,左、右焦点分别为
关于双曲线
的一条渐近线对称的点为
.若
,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b17c49c5e1f9f5b8b74225cd2d7963a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b606562b6515b13dc022d5a6db5b00c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
A.1 | B.2 | C.![]() | D.4 |
您最近一年使用:0次
23-24高二上·陕西榆林·期末
解题方法
5 . 已知抛物线
:
(
)的焦点
关于其准线的对称点为
.
(1)求抛物线
的方程;
(2)若
为坐标原点,过焦点
且斜率为1的直线
交抛物线
于
、
两点,求
的面积.
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843e3f8c3314d51a322c6122a13745c5.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
解题方法
6 . 在平面直角坐标系
中,扡物线
的焦点为F,P是C上的一点,点M是y轴上的一点,且
.则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b871eae04a8d29a655fdf9a23f77e58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf40154f08fb0e36ef3497fceebd6ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c3b743769d19231c2165ec275bab1b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-30更新
|
242次组卷
|
6卷引用:陕西省商洛市2024届高三尖子生学情诊断考试(第二次)数学(理科)试卷
陕西省商洛市2024届高三尖子生学情诊断考试(第二次)数学(理科)试卷陕西省商洛市2024届高三尖子生学情诊断考试(第二次)数学(文科)试卷山西省吕梁市吕梁学院附属高级中学等校2024届高三上学期开学质量检测数学试题山西省大同市2024届高三上学期开学质量检测数学试题(已下线)重难点03: 直线与抛物线的位置关系(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)(已下线)重庆市巴蜀中学2024届高三上学期适应性月考(二)数学试题变式题6-10
名校
解题方法
7 . 已知抛物线
:
的焦点坐标为
.
(1)求抛物线
的标准方程;
(2)若直线
:
与抛物线
交于
,
两点,求弦长
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2023-12-11更新
|
545次组卷
|
3卷引用:陕西省西安市周至县第四中学2023-2024学年高二上学期期末数学试题
8 . 已知抛物线
经过点
,其焦点为
,过点
的直线
与抛物线交于点
,
,设直线
,
的斜率分别为
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2595e01e8751886a27862cce04e2d1.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/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.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)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-06-22更新
|
1036次组卷
|
6卷引用:陕西省西安市碑林区西北工业大学附属中学2023-2024学年高二下学期第一次月考数学试题
陕西省西安市碑林区西北工业大学附属中学2023-2024学年高二下学期第一次月考数学试题(已下线)第07讲 抛物线及其性质(练习)(已下线)3.3.2 抛物线的几何性质(3)云南省开远市第一中学校2023-2024学年高二下学期期中考试数学试题湖南省常德市第一中学2023届高三下学期5月第十二次月考数学试题(已下线)2.3.2抛物线的简单几何性质(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)
9 . 已知椭圆
的短半轴为3,离心率为
.
(1)求椭圆
的方程;
(2)过
的直线
交椭圆
于
两点,且
为
的中点,求弦
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c6162828793e697cb1ad643b287c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2023-11-05更新
|
839次组卷
|
3卷引用:陕西省渭南市澄城县2023-2024学年高二上学期期末文化课检测数学试题
名校
解题方法
10 . 已知直线
与椭圆
交于A,B两点,线段
的中点为
,则椭圆C的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9118cc77fc0a045337745890e50cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4754fbe523ca63eba3810a3f88f37df3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-10更新
|
772次组卷
|
2卷引用:陕西省西安市西安中学2024届高三上学期期末数学(文)试题