解题方法
1 . 已知向量
,
满足
,
,则
的最大值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6500d23b2750afcb9e307c85a5e62846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9410f166936a99bf0f802e600d28ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94af84455939219c16d251a95871d5b7.png)
您最近一年使用:0次
名校
2 . 已知焦点在x轴上的椭圆C过点
,且离心率为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a8936ce43b90c881be36f0a73fac0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
A.椭圆C的标准方程为![]() |
B.椭圆C经过点![]() |
C.点P![]() ![]() ![]() |
D.直线![]() |
您最近一年使用:0次
2021-03-26更新
|
513次组卷
|
2卷引用:江苏省南通市通州高级中学2020-2021学年高二上学期第一次学分认定考试数学试题
解题方法
3 . 已知椭圆
的离心率
,且经过点
,
是抛物线
上一点,过点
作抛物线
的切线
,与椭圆
交于
,
两点.
(1)求椭圆
的方程;
(2)若直线
平分弦
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ab0677015587e151ad5c9ef299772e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e393b3e36390b1354950e2cfccc4967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb7ca2d544f528ff1afcbb5c365f337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2020-05-28更新
|
224次组卷
|
2卷引用:2018年浙江省普通高校招生全国统一考试方向性考试数学试题
4 . 已知椭圆C:
的右焦点坐标为
,且点
在C上.
(1)求椭圆的方程;
(2)过点
的直线l与C交于M,N两点,P为线段MN的中点,A为C的左顶点,求直线AP的斜率k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26d1b84ffffb01daebfd1a425fc16ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
(1)求椭圆的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
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名校
5 . 已知椭圆
的一个顶点为抛物线
的焦点,点
在椭圆
上且
,
关于原点
的对称点为
,过
作
的垂线交椭圆于另一点
,连
交
轴于
.
(1)求椭圆
的方程;
(2)求证:
轴;
(3)记
的面积为
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6b146e6f1d0a3ca605c7cf26272228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.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/51b2da131e958f5a045dd3d5b0c68130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e4b0ddfa5aec71d6df83e574b56150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3a3db6d96518255f96ad7fc1ac98f4.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1addaf4de4d91f3553f7d0e5579fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ee2f999d11165c87e83c8862a35bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
您最近一年使用:0次
2020-03-13更新
|
513次组卷
|
2卷引用:2019届黑龙江省学业水平考试数学(理科)试卷
6 . 如图,在平面直角坐标系xOy中,已知焦点在x轴上,离心率为
的椭圆E的左顶点为A,点A到右准线的距离为6.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/f13cd543-e027-403b-ad55-788e03594163.png?resizew=180)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/f13cd543-e027-403b-ad55-788e03594163.png?resizew=180)
(1)求椭圆E的标准方程;
(2)过点A且斜率为的直线与椭圆E交于点B,过点B与右焦点F的直线交椭圆E于M点,求M点的坐标.
您最近一年使用:0次
2019-01-29更新
|
669次组卷
|
5卷引用:2019年浙江省普通高中学业水平名校模拟卷(三)
2019年浙江省普通高中学业水平名校模拟卷(三)【市级联考】江苏省苏州市2019届高三上学期期末学业质量阳光指标调研数学试题江苏省苏州市高三2018-2019学年第一学期学业质量阳光指标调研卷数学I试题(已下线)专题11 圆锥曲线的基本量-《巅峰冲刺2020年高考之二轮专项提升》(江苏)(已下线)考点26 椭圆的基本量-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)