名校
1 . 若方程
所表示的曲线为
,给出下列四个命题:
①若
为椭圆,则实数
的取值范围为
;
②若
为双曲线,则实数
的取值范围为
;
③曲线
不可能是圆;
④若
表示椭圆,且长轴在
轴上,则实数
的取值范围为
.
其中真命题的序号为________ .(把所有正确命题的序号都填在横线上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3d4ce1e61016c6b971f79d85ef9586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ae286ae8a209bc659ace6354b79abf.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1428a22f5b703f74a47838fc3090fc5.png)
③曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2de52259b426acb42761fec59a7748.png)
其中真命题的序号为
您最近一年使用:0次
2 . 数列
为1,1,2,1,1,3,1,1,1,1,4,…,前n项和为
,且数列
的构造规律如下:首先给出
,假若复制前面为1的项,再添加1的后继数为2,于是
,然后复制前面所有为1的项,1,1,再添加2的后继数为3,于是
,接下来再复制前面所有为1的项,1,1,1,1,再添加3的后继数为4,…,如此继续.现有下列判断:
①
; ②
;
③
; ④
.
其中所有正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11082835255e4054151694c77331b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e413cc989b74e0949abaa7182b504833.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5afcdc771dcbf3b0d48e10fd13a2b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af67926e775e11fb8bdded1e9cd3f9aa.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ebe8f8acaedc520ea1db0bbfe7973a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7842381350e30ad2a539323ec2edfbe7.png)
其中所有正确结论的序号为
您最近一年使用:0次
名校
3 . 以下命题:
①“
”是“
”的充分不必要条件;
②命题“若
,则
”的逆否命题是假命题;
③命题“若
,则
”的否命题为“若
,则
”;
④若
为假命题,则
,
均为假命题;
其中正确命题的序号为________________ .(把所有正确命题的序号都填上).
①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fdf7d28b97fb6fe731703f80e122ed.png)
②命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b9d5aaaceaa3ac514d17fcfefbf9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce22028b0472ba0c4db9c3179e963ad2.png)
③命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad6987e8abfbf07d6a2650483d2a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad6987e8abfbf07d6a2650483d2a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
其中正确命题的序号为
您最近一年使用:0次
名校
4 . 下列叙述中,
①等差数列
,
为其前n项和,若
,
,则当
时,
最小;
②等差数列
的公差为d,前n项和为
,若
,则
为递增数列;
③等比数列
的前n项和为
,若
,则
有最小项;
④在等差数列
中,记
,若存在
,使得
,则
为递增数列.
正确说法有______ (写出所有正确说法的序号)
①等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b134439819d3069da709979cb9b1a991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5846713aaecbab35ad985cbe9ad7d44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6cd3173d146902c5518503888c3b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
③等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5c8a6c196890aa7871ea0c82061ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
④在等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134aefab10d3e81e223e9123da5f417e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f29c06a3e9a73e905eb87d71efa201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb50854126e66c09294192ed1db29ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
正确说法有
您最近一年使用:0次
名校
5 . 设函数
下列命题:
①
的解集是
,
的解集是
或
;
②
是极小值,
是极大值;
③
没有最小值,也没有最大值;
④
有最大值,没有最小值.
其中正确的命题序号为__________ .(写出所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791956b918f2b45654ff4422a3f50d80.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b9d7630a0ac7cd9af9a87876da9db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae6c32f0fafbbd03833f64b3ef60caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890d6dafa253b76e17c37f607ad29a53.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fe45ecd5d507adc2e7ffc1b1755856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb71ad742b421a7ba62d8c1923d33358.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
其中正确的命题序号为
您最近一年使用:0次
2018-03-19更新
|
776次组卷
|
2卷引用:北京市西城156中2016-2017学年高二下学期期中考试数学(文)试题
6 . 以下三个关于圆锥曲线的命题:
①设
,
为两个定点,
为非零常数,若
,则动点
的轨迹为双曲线;
②方程
的两根可分别作为椭圆和双曲线的离心率;
③双曲线
与椭圆
有相同的焦点.
其中真命题的序号为_____ (写出所有真命题的序号).
①设
![](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/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7a3544be6797ded92aa786853fec8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f9da93ffb16e3e15db5eb0b7a3618d.png)
③双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d49e09b17b19d7c787e95bcf1e9731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b1ddc7d49161e0eb8cecdab16285d4.png)
其中真命题的序号为
您最近一年使用:0次
名校
解题方法
7 . 已知四边形
是椭圆
的内接四边形,其对角线
和
交于原点
,且斜率之积为
.给出下列四个结论:
①四边形
是平行四边形;
②存在四边形
是菱形;
③存在四边形
使得
;
④存在四边形
使得
.
其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caeb11677994ba487096958b1ad82ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
①四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
②存在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③存在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e84f14a77c27b015b6b1cf0896228b1.png)
④存在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d8d582c0bf83314b19df67e1bd2740.png)
其中所有正确结论的序号为
您最近一年使用:0次
2024-01-17更新
|
290次组卷
|
3卷引用:北京市海淀区2023-2024学年高二上学期期末练习数学试卷
北京市海淀区2023-2024学年高二上学期期末练习数学试卷北京市人大附中2023-2024学年高二上学期期末数学试题(已下线)2.2.2 椭圆的性质(十八大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
名校
8 . 对于函数
,给出下列四个结论:
①
是奇函数;
②方程
有且仅有1个实数根;
③
在
上是增函数;
④如果对任意
,都有
,那么
的最大值为2.
其中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707dd66e0d6f8c33c6e05b4555f12c31.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
④如果对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8800c695cb799480fe1eb3859868e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
其中正确结论的序号为
您最近一年使用:0次
9 . 已知正方体
的棱长为
,
是空间中任意一点.给出下列四个结论:
①若点
在线段
上运动,则总有
;
②若点
在线段
上运动,则三棱锥
体积为定值;
③若点
在线段
上运动,则直线
与平面
所成角为定值;
④若点
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8ade6f1e13f052a244d6de3d417c0b.png)
,则过点
,
,
三点的正方体截面面积的取值范围为
.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/945efbd2a73b8f37b115b56f4f3ea937.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cecf8866f73b9bc9a25727499c7a09e.png)
③若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
④若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8ade6f1e13f052a244d6de3d417c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1227326fcce4335620162c671d517459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46817fa5480cf4bfd4a3d60cf8a9e1a3.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/ba078bebaecfe920a5e1da7c843afe87.png)
其中所有正确结论的序号为
您最近一年使用:0次
名校
解题方法
10 . 已知曲线
.关于曲线W有四个结论:
①曲线W既是轴对称图形又是中心对称图形;
②曲线W的渐近线方程为
;
③当
时曲线W为双曲线,此时实轴长为2;
④当
时曲线W为双曲线,此时离心率为
.
则所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb65152906dd85d99319f2aa0b8e9fe.png)
①曲线W既是轴对称图形又是中心对称图形;
②曲线W的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba80160fe41b335cd9e54fd449f8387.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7881094ce2f907c3aaf664318ecd3e2d.png)
则所有正确结论的序号为
您最近一年使用:0次
2024-01-26更新
|
152次组卷
|
2卷引用:北京市通州区2023-2024学年高二上学期期末质量检测数学试卷