名校
解题方法
1 . 下列四个选项中,正确的选项有( )
A.“不等式![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() ![]() |
D.已知![]() ![]() ![]() ![]() ![]() ![]() |
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2023-12-11更新
|
253次组卷
|
2卷引用:广东省广州市第八十九中学2023-2024学年高一上学期11月期中考试数学试卷
名校
解题方法
2 . 已知双曲线
的焦点分别为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de66df5b4cd1344339588b99bf7214a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
A.若双曲线![]() ![]() ![]() ![]() |
B.渐近线方程为![]() |
C.若从双曲线![]() |
D.双曲线![]() ![]() |
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2023-12-10更新
|
886次组卷
|
2卷引用:广东省深圳市盐田高级中学2023-2024学年高二上学期期中考试数学试题
名校
3 . 已知双曲线C的方程为:
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff493a749b18a6e80c6763e1d276e85d.png)
A.实轴长为6 | B.渐近线方程为![]() |
C.顶点坐标为![]() ![]() | D.焦距为![]() |
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2023-12-10更新
|
356次组卷
|
2卷引用:广东省东莞市第十高级中学2023-2024学年高二上学期12月期中考试数学试题
4 . 设椭圆
:
(
)的左、右焦点分别为
,
,左、右顶点分别为
,
,点
是
上异于
的一点.则下列结论正确的是( )
![](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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.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/5963abe8f421bd99a2aaa94831a951e9.png)
A.点![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.当点![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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名校
解题方法
5 . 已知双曲线
,下列对双曲线
判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0017262e45089093f70001cae2c60257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.实轴长是虚轴长的2倍 | B.焦距为4 |
C.离心率为![]() | D.渐近线方程为![]() |
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6 . 已知椭圆
的中心为坐标原点,焦点
在
轴上,短轴长等于
,离心率为
,过焦点
作
轴的垂线交椭圆
于
两点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
A.椭圆![]() ![]() | B.椭圆![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
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7 . 已知曲线
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6fd2f864960ee053def6ca9a14652be.png)
A.曲线![]() ![]() |
B.曲线![]() ![]() |
C.当曲线![]() ![]() |
D.当曲线![]() ![]() |
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8 . 画法几何的创始人——法国数学家加斯帕尔·蒙日发现:与椭圆相切的两条垂直切线的交点的轨迹是以椭圆中心为圆心的圆,我们通常把这个圆称为该椭圆的蒙日圆.已知椭圆
,
,
分别为椭圆的左、右焦点,直线
的方程为
,
为椭圆
的蒙日圆上一动点,
,
分别与椭圆相切于A,
两点,
为坐标原点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0296bd9900adcc311f59ad44e940b86f.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233223a3ac88d9e312f6fcf732790fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.椭圆![]() ![]() |
B.记点A到直线![]() ![]() ![]() |
C.一矩形四条边与椭圆![]() ![]() |
D.![]() ![]() |
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2023-12-05更新
|
510次组卷
|
2卷引用:广东省广州市华南师范大学附属中学2023-2024学年高二上学期期中数学试题
名校
解题方法
9 . 设椭圆
的左右焦点为
,
,P是C上的动点,则下列结论正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee9ce51f55008258322bbe19810f62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
A.P到![]() ![]() | B.![]() |
C.![]() | D.P到![]() |
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10 . 在整数集
中,被5除所得余数为
的所有整数组成一个“类”,记为
,即
,
给出如下四个结论:正确结论的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e854be8d44d7021f8060aebf252284a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96691f19673c97ba9f6e432a7539f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63702e21678ae8a609cfa1faeef69fa6.png)
A.![]() |
B.![]() |
C.![]() |
D.“整数![]() ![]() |
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