1 . 给出如下四种说法:
①四个实数
依次成等比数列的必要而不充分条件是
.
②命题“若
且
,则
”为假命题.
③若
为假命题,则
均为假命题.
④若数列
的前项n和
,则该数列的通项公式
.
其中正确说法的序号为________ .
①四个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd68c14adb3cf12d8f77aec55a053284.png)
②命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee18d7a40f7a7e0dc85b1bd75bf750c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a583e1950f97c1c88fc322421fd1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe748266e2c04f5a887947312199e8c.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
④若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8a478678a8db5e26aa9eff0298a2b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032ee491b2830e8427c307ddce4e607b.png)
其中正确说法的序号为
您最近一年使用:0次
名校
2 . 在实数集R中定义一种运算“*”,
,
为唯一确定的实数,且具有性质:
(1)对任意
,
;
(2)对任意
,
.
关于函数
的性质,有如下说法:
①函数
的最小值为3;
②函数
为偶函数;
③函数
的单调递增区间为
.其中正确说法的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4aa0c78840d268cab45b55637edb43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb77a7d41b4ca1f0b046ee28a89381f6.png)
(1)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378790985858682bcc6a6d646c79f2f2.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44950387cf251e7bdb83aba962435a66.png)
关于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e39cb61c1784d3d63a4d3fcac2b75c9.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c0c037867665979b6dc75fb995f9ec.png)
A.① | B.①② | C.①②③ | D.②③ |
您最近一年使用:0次
3 . 给出以下命题:
(1)若数列
存在极限,则该极限唯一;
(2)若直线
的倾斜角为
,则
的斜率存在且为
;
(3)设向量
与
的夹角为
,若
,则
为锐角;
(4)到
轴、
轴距离相等的点的轨迹方程为
.
其中所有正确命题的序号为
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(3)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1e552a1451270703a86e592d7dd656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(4)到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54934d97f4087dfaf4302ea3914a9632.png)
其中所有正确命题的序号为
A.(1)(2) | B.(2)(3) | C.(1)(4) | D.(2)(4) |
您最近一年使用:0次
名校
4 . 给出下列五个命题:
①直线
平行于平面
内的一条直线,则
;
②若
是锐角三角形,则
;
③已知
是等差数列
的前
项和,若
,则
;
④当
时,不等式
恒成立,则实数
的取值范围为
.
其中正确命题的序号为___________ .
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87446a7f3d8663e3fa62157adcbe2835.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c77720b8b287e64c5e840dcc8db528.png)
③已知
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effdf8cadd1a54cb5e0f3a621dd4ea80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68405af59395b5b557581b32f97a5ca.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1864b98153200f5929787295de2c1e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9bd06dbb60db9ef56db0d694505330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b06647930e162809da06a1a72b9d9f.png)
其中正确命题的序号为
您最近一年使用:0次
名校
5 . 给出以下四个命题:
①若
,则
;
②已知直线
与函数
,
的图像分别交于点
,则
的最大值为
;
③若数列
为单调递增数列,则
取值范围是
;
④已知数列
的通项
,前
项和为
,则使
的
的最小值为12.
其中正确命题的序号为__________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d6063ee5703cb140dfc69c9cde0bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bfa5bb8b7d70c8dbf01bbc01d2b2019.png)
②已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8feb6516836167daab0bad41689b5d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac35b1e8a952aac4f4cdaaf02d868d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
③若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c33b314a69d8a715bfd7e1481f0463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb74292380b8df9519b9c33bfd564f8.png)
④已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c4593f37ce523cfa8fb5c102240319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49763402b2f2023f0ba64c37924267d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
其中正确命题的序号为
您最近一年使用:0次
2020-05-22更新
|
779次组卷
|
3卷引用:广西南宁市第三中学2019-2020学年高一期中段考数学试题
名校
6 . 设非空集合
满足:当
时,有
,给出如下四个命题:
①若
,则
;②若
,则
;③若
,则
;④若
,则
或
;
其中正确命题的序号为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1499570d8771961eb973d275daf634c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561b2a3989ac7b46ec794c2ad9a60b47.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75f08f6a3c243392eb7601e3f736899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54078c4af5b305e26b8e3faa6423e67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a99456afdc55c5bfab783784461db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f79934108f80826ed066be5e28f9d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93f67ef3e941be3b7685f92180735c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d9eca0a0dab41743fd9703a6ed8913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59b388ab091cefdc4f1254b57577575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
其中正确命题的序号为
您最近一年使用:0次
2020-02-01更新
|
1801次组卷
|
6卷引用:2015-2016学年上海市金山中学高一上学期期末数学试卷
2014·江西·一模
名校
7 . 给出下列四个命题:
①
中,
是
成立的充要条件;
②当
时,有
;
③已知
是等差数列
的前n项和,若
,则
;
④若函数
为
上的奇函数,则函数
的图象一定关于点
成中心对称.其中所有正确命题的序号为___________ .
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e187e1473e72c646dd997f2da29e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c029618cf11f31cf131e7103f03e183.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0a9c962b6fa4f453af096cbe347c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99f3115e46f51f759d0afcbd290765d.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8941ac03db51a1c00e1f3c679ade4900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31302692643ac02324cdb1a8ce18011.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aca98582d810b822cd99136f7fac9ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8113286cd3cbe5200e338a7e1651b.png)
您最近一年使用:0次
2018-11-18更新
|
824次组卷
|
9卷引用:2015届江西省红色六校高三第一次联考文科数学试卷
(已下线)2015届江西省红色六校高三第一次联考文科数学试卷(已下线)2015届黑龙江省哈尔滨市六中高三上学期期中考试理科数学试卷2016届福建省仙游一中高三上学期期中考理科数学试卷【全国百强校】黑龙江省双鸭山市第一中学2019届高三上学期第一次月考数学(理)试题山东省济南市历城第二中学2019届高三11月月考数学(文)试题智能测评与辅导[文]-常用逻辑用语2020届西藏自治区拉萨中学高三上学期第三次月考数学(文)试题2020届西藏拉萨中学高三上学期第三次月考数学(理)试题西藏自治区林芝市第二高级中学2021届高三上学期第一次月考数学(理)试题
10-11高一下·辽宁大连·开学考试
8 . 对于函数
中任意的
有如下结论:
①
; ②
;
③
; ④
;
当
时,上述结论中正确结论的序号为_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56e5ca66a32ef8f0bb70c54aab8d0d6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6521ef75f0a05fe62cdfd2fbbe0430b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b22d5595e7e5232f35d6b273346ac29.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c71f3aeeafb8c2cf0c6a557d0d0cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e1de53173296a1cbf90d98377e626de.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45afdf4d717bb03adac6b899c367acb.png)
您最近一年使用:0次
9 . 给出下列四个命题:
①当
时,有
;
②
中,
当且仅当
;
③已知
是等差数列
的前
项和,若
,则
;
④函数
与函数
的图像关于直线
对称.
其中正确命题的序号为__________ .
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c385a8d88836f6cae1255d86c1b6d76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d3d04194297b37727db116081a662e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
③已知
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effdf8cadd1a54cb5e0f3a621dd4ea80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68405af59395b5b557581b32f97a5ca.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26efb9f32f6cb608753f9189c6b48644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c67f5cfce32b3ed37987a4baa430062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
其中正确命题的序号为
您最近一年使用:0次
10 . 给出集合
.
(1)若
,求证:函数
;
(2)由(1)分析可知,
是周期函数且是奇函数,于是张三同学得出两个命
题:命题甲:集合
中的元素都是周期函数.命题乙:集合
中的元素都是奇函数. 请对此
给出判断,如果正确,请证明;如果不正确,请举反例;
(3)若
,数列
满足:
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
,数列
的前
项
和为
,试问是否存在实数
、
,使得任意的
,都有
成立,若
存在,求出
、
的取值范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2797a0dde20f22497c6190d08c71b741.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c6d8eccab2b897f45885ed81195248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5314a9d2205a2beba0dcffb8fd943b18.png)
(2)由(1)分析可知,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c6d8eccab2b897f45885ed81195248.png)
题:命题甲:集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
给出判断,如果正确,请证明;如果不正确,请举反例;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96f3ea0467dc6393d7c4b602175a394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5fb8208a95205a6437385ba884547a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab958eede2dbad749ba70bb230c88fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5014429b696a37a9461b66f22b1800.png)
存在,求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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