名校
1 . 已知一个装有半瓶水的圆柱形玻璃杯,其底面半径为
,玻璃杯高为
(玻璃厚度忽略不计),其倾斜状态的正视图如图所示,
表示水平桌面.当玻璃杯倾斜时,瓶内水面为椭圆形,阴影部分
为瓶内水的正视图.设
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68f35b8432dad8fad85309c42f4d2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fa622aae9a94f518967806eaec9544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53abbd672b82a02c4975f99fbbd2c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70732cfd9e5e332e0fc1c1575a7ab2d.png)
A.当![]() ![]() |
B.当椭圆的离心率最大时,![]() |
C.当椭圆的焦距为4时,![]() |
D.当![]() |
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解题方法
2 . 已知椭圆
的左、右焦点分别为
,上顶点为
,离心率为
为
上关于原点对称的两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb0ef5e6c3771175aff1b8fc9e17110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4964c014567ab3586af0b762e046dcbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() ![]() |
B.![]() |
C.四边形![]() ![]() |
D.当![]() ![]() ![]() ![]() |
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2024-03-04更新
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2卷引用:河北省邢台市2023-2024学年高二上学期1月期末数学试题
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3 . 已知曲线
:
,则以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc389c441510b409fb2d342ad730ed06.png)
A.若曲线![]() ![]() ![]() |
B.若曲线![]() ![]() ![]() |
C.曲线![]() ![]() |
D.若曲线![]() ![]() |
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2024-01-19更新
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2卷引用:河北省邢台市2024届高三上学期期末调研数学试题
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4 . 已知曲线
,则下列说法正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655f67c6b4fb2425b8c1158a6b3e8be2.png)
A.若该曲线是双曲线方程,则![]() ![]() |
B.若![]() |
C.若该曲线离心率为![]() ![]() |
D.若该曲线为焦点在y轴上双曲线,则离心率![]() |
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2023-12-20更新
|
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7卷引用:河北省沧州市泊头市第一中学2023-2024学年高二上学期第六次(12月)月考数学试题
河北省沧州市泊头市第一中学2023-2024学年高二上学期第六次(12月)月考数学试题湖南省长沙市雅礼中学2023-2024学年高二上学期第三次月考数学试题河南省宋基信阳实验中学2023-2024学年高二上学期数学教学测评(二)(已下线)专题03 圆锥曲线的方程(1)(已下线)高二上学期期末数学模拟试卷(人教A版2019选择性必修第一册+第二册)-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019)(已下线)期末精确押题之多选题(40题)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)湖南省娄底市新化县2023-2024学年高二上学期期末考试数学试题
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5 . 已知
,
是椭圆C:
的两个焦点,过点
的直线与C交于A,B两点.若
,
,则( )
![](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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927b51d8d63ea205ca15cda550b13ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2c4117c7c263b7dd0d3dcd3ce5317d.png)
A.![]() | B.椭圆C的离心率为![]() |
C.![]() | D.![]() |
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2023-12-14更新
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159次组卷
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4卷引用:河北省保定市部分高中2023-2024学年高二上学期期中数学试题
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6 . 椭圆
:
的右焦点
,抛物线
:
,
,
交于点
,过
作
轴垂线交
于A、B,交
于C、D,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24550b13dbecf7d86c7054250e987274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae6433125ae380b1ba0c41a146ab004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
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7 . 已知椭圆
的左、右焦点分别为
,点
在
上,若椭圆上有4个点使得
,则
的离心率可以是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/c0853b6c-575c-4c33-91dd-4abf53b16318.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d7f9f941778a83e4c38f872cc5ad1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/c0853b6c-575c-4c33-91dd-4abf53b16318.png?resizew=174)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023·全国·模拟预测
解题方法
8 . 已知椭圆
的左、右焦点分别为
、
,点
、
在
上,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813f9a2814013e2407b5b1c216159359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fd15503ee692f8286b0312f7c6f0cd.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bde7610cc316cb069bfde0682fef7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5be7bde8a2e6759b9a10345caf92b03.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
解题方法
9 . 已知椭圆
的左、右焦点分别为
,
,椭圆上两点A,B关于原点对称,点P(异于A,B两点)为椭圆上的动点,则下列说法正确的是()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf679418512d6ad973531df808fd267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
A.![]() | B.椭圆的离心率为![]() |
C.![]() ![]() | D.若直线PA,PB的斜率都存在,则![]() |
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解题方法
10 . 已知椭圆
的左、右焦点分别为
、
,点
在
上,且
的最大值为3,最小值为1,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e99c00835ffc1896285fd94f1f78ae2.png)
A.椭圆![]() ![]() |
B.![]() |
C.椭圆![]() ![]() ![]() |
D.若![]() ![]() |
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2023-11-14更新
|
1005次组卷
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3卷引用:河北省石家庄正定中学2023-2024学年高二上学期期中数学试题