1 . 在数列
中,若
(
,
,
为常数),则
称为“等方差数列”.下列对“等方差数列”的判断:
①若
是等方差数列,则
是等差数列;
②
是等方差数列;
③若
是等方差数列,则
(
,
为常数)也是等方差数列.其中正确命题序号为
__________ (写出所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44818d415cf4e4af51151193e204bdd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362832fa3d3c13c1eafd565349d66dce.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef891fc99921b6093392c1e3c5347d1.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a561552fc52b697f1a7f1c81c2f637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2018-05-02更新
|
739次组卷
|
2卷引用:【全国市级联考】四川省南充市2018届高三第三次联合诊断考试数学文科试题
2 . 下列说法
①若lga,lgb,lgc成等差数列,则a,b,c成等比数列
②若命题p:“存在x∈R,x2-x-1>0”,则命题p的否定为:“对任意x∈R,x2-x-1≤0”
③若x≠0,则x+
≥2
④“a=1”是“直线x-ay=0与直线x+ay=0互相垂直”的充要条件
其中正确结论的序号为_______ (把你认为正确结论的序号都填上).
①若lga,lgb,lgc成等差数列,则a,b,c成等比数列
②若命题p:“存在x∈R,x2-x-1>0”,则命题p的否定为:“对任意x∈R,x2-x-1≤0”
③若x≠0,则x+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
④“a=1”是“直线x-ay=0与直线x+ay=0互相垂直”的充要条件
其中正确结论的序号为
您最近一年使用:0次
3 . 在数列
中,若
为常数
,则
为“等方差数列”,下列是对“等方差数列”的判断;
①
是等方差数列,则
是等差数列;
②
是等方差数列;
③ 若
是等方差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8c521ba833022d7f57a4d44b2824f.png)
为常数
也是等方差数列;
④ 若
既是等方差数列,又是等差数列,则该数列为常数列.
其中正确命题序号为__________ .(将所有正确的命题序号填在横线上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca1c0c66577dd728e61895ebc96b3ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c806dc9bf2cad0cb20220d23bd252a2f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef891fc99921b6093392c1e3c5347d1.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8c521ba833022d7f57a4d44b2824f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b6a244eab64b41c3f98222feb04855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
④ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
其中正确命题序号为
您最近一年使用:0次
4 . “曼哈顿距离”是人脸识别中一种重要的测距方式.其定义如下:设,
是坐标平面内的两点,则A,B两点间的曼哈顿距离为
.在平面直角坐标系中
中,下列说法中正确说法的序号为
①若,
,则
;
②若O为坐标原点,且动点P满足:,则P的轨迹长度为4;
③设是坐标平面内的定点,动点N满足:
,则N的轨迹是以点
,
,
,
为顶点的正方形;
④设,
,
,则动点
构成的平面区域的面积为10.
您最近一年使用:0次
名校
5 . 给出如下四个命题:
①若
,则
;
②若
,则
;
③不等式
的解集是
;
④若
,且
,则
.
其中正确命题的序号为___________ (写出所有正确命题的序号).
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f05930837039d924f84f12ec886733d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b7345527910e03453d8657b2efbb02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746f35ff3b1361027c4bce1361c88b68.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf9befc3b336d83b83bcfcbc19c0752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb524c1ed61704756d3af60e00be213.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6559aa21f40e5c20d4373023760809.png)
其中正确命题的序号为
您最近一年使用:0次
2021-10-22更新
|
642次组卷
|
3卷引用:北京四中2021-2022学年高一10月月考数学试题
6 . 在数列
中,若
(
为常数),则称
为“等方差数列”,下列是对“等方差数列”的判断:①若
是等方差数列,则
是等差数列;②
不是等方差数列;③若
是等方差数列,则
(
为常数)也是等方差数列;④若
既是等方差数列,又是等差数列,则该数列为常数列.其中正确命题序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea064a22380658581516ffe6784459b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8ae2486d3c03488aef5d72ab205bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362832fa3d3c13c1eafd565349d66dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef891fc99921b6093392c1e3c5347d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a561552fc52b697f1a7f1c81c2f637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00b57c4d9e40c6ae8b4de50463899bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.①③④ | B.②③④ | C.①③ | D.①④ |
您最近一年使用:0次
2023-02-11更新
|
458次组卷
|
4卷引用:广东省惠州市2022-2023学年高二上学期期末数学试题
广东省惠州市2022-2023学年高二上学期期末数学试题(已下线)重难点专题02 等差数列及其前n项和-2022-2023学年高二数学重难点题型分类必刷题(人教B版2019选择性必修第三册)(已下线)模块四 专题5 重组综合练(广东)期末终极研习室(高二人教A版)广东省惠州市博罗县博师高级中学2023—2024学年高二上学期期末模拟考质量检测数学试题
名校
7 . 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
23-24高二下·全国·课前预习
解题方法
8 . 判断正误,正确的写正确,错误的写错误.
(1)等差数列前
项和公式的推导方法是倒序相加.( )
(2)若数列
的前
项和
,则
为常数列.( )
(3)等差数列的前
项和,等于其首项、第
项的等差中项的
倍.( )
(4)
.( )
(1)等差数列前
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8271bf23009e445137406321047a142b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)等差数列的前
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0365855d9f439487911ff2391fb1ff70.png)
您最近一年使用:0次
名校
9 . 给出下列四个命题:
①函数
的一条对称轴是
;
②函数
的图象关于点
中心对称
③
中,
,则
为等腰三角形;
④若
,则
的最小值为
.
以上四个命题中正确命题的序号为_______ .(填出所有正确命题的序号)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5ffde1a3017558389454f05a6465dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b283eb08db6f602ede1ae542c5e3662.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4788497d66ce58c4672db6ee3e3694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69746b3bb2aa5f63a9e3608a3ee526d6.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b883d9703a1deaf8dbc18097c6b8bb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315be5c631dd2de45746e658c819616a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a4aa1e105da1062434ab860f8049f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68531186095cde3297d25668035f9be8.png)
以上四个命题中正确命题的序号为
您最近一年使用:0次
2019-09-26更新
|
497次组卷
|
2卷引用:安徽省六安市第一中学2019-2020学年高二上学期开学考试数学(理)试题
10 . 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