解题方法
1 . 已知椭圆
,过原点
的直线
交椭圆
于
两点,过点
向
轴引垂线,垂足为
,连接
并延长,交椭圆
于点
,直线
和
的斜率分别为
,则下列选项正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69daca955a565fa537347dd0d93783f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
A.![]() | B.![]() | C.![]() | D.若![]() ![]() |
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2 . 法国数学家加斯帕尔•蒙日发现:椭圆的两条互相垂直的切线的交点轨迹是以椭圆中心为圆心的圆(称为椭圆的蒙日圆).已知椭圆
的左、右焦点分别为
,左、右顶点分别为
,点
是椭圆上异于
的动点,点
是该椭圆的蒙日圆上的动点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bdca942888700310971d0e2c70e624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.该椭圆的蒙日圆的方程为![]() |
B.存在点![]() ![]() |
C.使![]() ![]() |
D.直线![]() ![]() |
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2024-01-30更新
|
261次组卷
|
2卷引用:河北省邯郸市2023-2024学年高二上学期期末质量检测数学试题
解题方法
3 . 已知椭圆
的离心率为
,
,
为椭圆C的左、右焦点,P是椭圆C的上顶点,过
的直线l交椭圆C于A,B两点,则下列选项正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](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/f5076289823db419f94e9c0c8f4aafd9.png)
A.![]() |
B.直线![]() ![]() |
C.![]() |
D.当直线l与![]() ![]() ![]() |
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4 . 已知椭圆C:
,直线
与C交于
,
两点,若
,则实数
的取值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205da5e1d2730ee0b3de8bca3e29f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67be817f20d1c03c4b152f08ca7e2de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3463ced6030af957f13f9ba05b977c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4fee5980551b023f6307b1e24877d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.3 | D.4 |
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2024-01-04更新
|
461次组卷
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3卷引用:河北省邢台市部分重点高中2023-2024学年高二上学期1月期末数学试题
名校
解题方法
5 . 已知
是圆
上不同的两点,椭圆
的右顶点和上顶点分别为
,直线
分别是圆
的两条切线,
为椭圆
的离心率.下列选项正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1325c6fe42a9e5c04520d8a9bb6821b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4372c60e72bc1f82072a2c31cd51a7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddfa25e097562b856ddd5e7c0758ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.若椭圆![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2023-07-20更新
|
1525次组卷
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7卷引用:河北省廊坊市香河县第一中学2023-2024学年高三下学期模拟考试数学试卷
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