名校
解题方法
1 . 已知双曲线的渐近线方程为
,且右顶点与椭圆
的右焦点重合,则这个双曲线的标准方程是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3051f43ac48c0a730a791b8a93ad37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
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2023-12-05更新
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3卷引用:黄金卷03(文科)
名校
解题方法
2 . 已知
、
是椭圆
的两个焦点,P是椭圆上一点,
,
,则椭圆的离心率的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7affd8a277498fd39b4a2a95d649f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f8af533d628a32dfbbd91257cc725b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-10更新
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3卷引用:黄金卷03(理科)
3 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
离心率等于
且椭圆C经过点
.
(1)求椭圆的标准方程
;
(2)若直线
与轨迹
交于
两点,
为坐标原点,直线
的斜率之积等于
,试探求
的面积是否为定值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c2f5ccd9d7faa3f6027f89758e7b05.png)
(1)求椭圆的标准方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f44755c5fee4b90266eac73ad47a128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d8d57d44169246811fb5ed7e55c6b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
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2023-11-10更新
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6卷引用:黄金卷01(理科)
解题方法
4 . 已知椭圆C:
(a>b>0)的焦点为F1,F2,离心率为
,点P为其上一动点,且三角形PF1F2面积的最大值为
,O为坐标原点.
(1)求椭圆C的方程;
(2)若点M,N为C上的两个动点,求常数m,使
·
=m时,点O到直线MN的距离为定值,求这个定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆C的方程;
(2)若点M,N为C上的两个动点,求常数m,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1129c691c26af951624cdc8f77ee9185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc884472fe37b8f0505aecc113b50c5a.png)
您最近一年使用:0次
2020-12-07更新
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432次组卷
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5卷引用:黄金卷03(文科)
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