1 . 将椭圆
上所有的点绕原点旋转
角,得到椭圆
的方程:
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da862aa92369e54ed07e7a3ee49a836f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432e7fa1a93593ff04ac1016a30068e3.png)
A.![]() | B.椭圆![]() ![]() |
C.![]() ![]() | D.![]() |
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解题方法
2 . 过椭圆
的中心作直线
交椭圆于
两点,
是
的一个焦点,则
周长的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ddaa027ce520c1c035399c3674bf39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e29303195c563855aee4c14cbcb9bd.png)
A.16 | B.14 | C.12 | D.10 |
您最近一年使用:0次
2024-06-09更新
|
323次组卷
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2卷引用:河北省部分高中2024届高三下学期二模数学试题
3 . 设点
分别为椭圆
的左、右焦点,点
是椭圆
上任意一点,若使得
成立的点
恰好有4个,则实数
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a9859040e01b972363d182a9e8b68f.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/3e3f19ff9d533161dedf49cf9a921341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.0 | B.2 | C.4 | D.6 |
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2024-06-04更新
|
524次组卷
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2卷引用:辽宁省部分高中2023-2024学年高三下学期第三次模拟考试数学试题
名校
解题方法
4 . 已知曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fbe5e9b0abbbaeccc641cee1b637c4.png)
,将曲线
用函数
表示,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fbe5e9b0abbbaeccc641cee1b637c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92da99f65ba23ab0ddcfd50d92b8ff31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若直线![]() ![]() ![]() ![]() ![]() |
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解题方法
5 . 已知复数
,
满足
,
(其中i是虚数单位),则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c65484348823f009eb12113280e6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85cc8b9220bc979eb172fdafd276b73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a40e2b6c49f849119ad4a3f2e79530.png)
A.1 | B.2 | C.![]() | D.3 |
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解题方法
6 . 已知
为椭圆
的右焦点,过原点的直线与
相交于
两点,且
轴,若
,则
的长轴长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635edeadf0a7bbb250c0a7b103c65a20.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/323232ab36943d1d5d2831d70ffcff87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01d15cb04728b42ea949c7395940e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024高三·全国·专题练习
解题方法
7 . 椭圆
,过原点
的直线交
于
两点,直线
的斜率为
,现将坐标平面沿
轴折成一个直二面角,求
连线与
轴所成锐角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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8 . 记椭圆
:
与圆
:
的公共点为
,
,其中
在
的左侧,
是圆
上异于
,
的点,连接
交
于
,若
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/740bc50dfce975366f4d851b7c570d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-27更新
|
807次组卷
|
5卷引用:河南省濮阳市2024届高三下学期第一次模拟考试数学试题
解题方法
9 . 已知椭圆
的右焦点为F,A为椭圆上一点,
为坐标原点,直线
与椭圆交于另一点
,直线
与椭圆交于另一点
(点B、D不重合).
(1)设直线
,
的斜率分别为
,
,证明:
;
(2)点
为直线
上一点,记
的斜率分别为
,若
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88920aab87278ca982c235e13f847c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a3124397a6320395c8ada2b4fb0d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cddd7153c6b4c5f6f6e84880198e2ea5.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a3316e7f3ec806e89513a0b329246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca1726d463bd741c904abd9b6589056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5e70851ed812c307e1e614ac56884b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2024-03-09更新
|
967次组卷
|
2卷引用:河北省百师联盟2024届高三下学期开学摸底联考数学试题
10 . 已知椭圆
,将C向右平移4个单位,向上平移3个单位得到椭圆E,若点A,B分别在C,E上,
,
分别为C,E的中心,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
A.E的方程为![]() | B.C和E没有交点 |
C.A,B的纵坐标之差可以为7 | D.![]() ![]() |
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