1 . 在一副去掉大小王的52张扑克牌中随机抽取1张,记M表示事件“取到红桃”,N表示事件“取到J”,有以下说法:①M与N互斥;②M与N相互独立;③
与N相互独立.则上述说法中正确说法的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee035c6c34eef4268a150dab13117e9.png)
A.① | B.② | C.①② | D.②③ |
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 . 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
4 . 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
5 . 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
6 . 曲线
是平面直角坐标系内与两个定点
和
的距离之积等于4的点的轨迹,则( )
①曲线
过原点;
②曲线
关于原点对称;
③若点
在曲线
上,则
的面积不大于2;
④曲线
与曲线
有且仅有两个交点.
其中正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9d55173f26afdf0e37462b556a605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
②曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③若点
![](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/33d776753746914c2410a3946c357f35.png)
④曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
其中正确命题的序号为( )
A.①② | B.②③④ | C.③④ | D.①②④ |
您最近一年使用:0次
2023-11-13更新
|
324次组卷
|
2卷引用:北京市汇文中学2023-2024学年高二上学期期中考试数学试题
7 . 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
8 . 在正方体
中,
为棱
上的动点,
为线段
的中点.给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/728f8e20-d71a-4a9d-af5a-2f992985d287.png?resizew=160)
①
;
②直线
与平面
的夹角不变;
③三棱锥
的体积不变;
④点
到
,
,
,
四点的距离相等.
其中,所有正确结论的序号为_____________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9601d29de0a884953b039ee72f0158fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/728f8e20-d71a-4a9d-af5a-2f992985d287.png?resizew=160)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3681ff426cdbe7184eeb004ff0eaefb.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557f8ff92d79a9d464ff13de17f3eae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcfe69b939fd1c271747fe9d37ccdf9.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc3bf74119692ac98eb24fcfa2a3f9f.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
其中,所有正确结论的序号为
您最近一年使用:0次
解题方法
9 . 在棱长为1的正方体
中,点
满足
,其中
,
.给出下列四个结论:
①所有满足条件的点
组成的区域面积为1;
②当
时,三棱锥
的体积为定值;
③当
时,点
到
距离的最小值为1;
④当
时,有且仅有一个点
,使得
平面
.
则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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6b545127bd51036a5a7b0d3cd5b320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee72261f6901e62dfd0ffe547406544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e2e01346f60857ff635bb766802e57.png)
①所有满足条件的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2753dc1c83d54044b89e628a7eb247f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aab98011d732d4094e4e881b0bd2bd6.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76819195cffab10d81638dd673f3af98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e16f65c3a318220c2f5baac171bbb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4704cbf3d2de2f06a6ee29b3c252109.png)
则所有正确结论的序号为
您最近一年使用:0次
10 . 下列说法中,①方程
表示一条直线;
②方程
表示的曲线为椭圆;
③方程
表示的曲线为双曲线;
④方程
表示的曲线为圆心在
轴上的一个圆.
以上叙述正确的有____________ (写出所有序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7feaf9f7bf718fca00d5cb2d6e9c0e05.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7724704df2f30fbcf31fc86a7daee.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1506041d21834590e2eb883111118d.png)
④方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c9a59c7ebbab2d1f9d23e18e19e5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
以上叙述正确的有
您最近一年使用:0次
2022-11-10更新
|
522次组卷
|
2卷引用:北京市东城区汇文中学2022-2023学年高二上学期期中数学试题