1 . 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
名校
解题方法
2 . 对下列命题:
(1)
的最小值为4;
(2)若
是各项均为正数的等比数列,则
是等差数列;
(3)已知
的三个内角
所对的边分别为
,
,
,且最大边长为
,若
,则
一定是锐角三角形;
其中所有正确命题的序号为_________ (填出所有正确命题的序号).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24539bf655f0693621fdf36098346de2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc71a2fd8c6b263feea5ff5d6a36121.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95563a79e3b68c597ae1e5167516ff88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
其中所有正确命题的序号为
您最近一年使用:0次
名校
解题方法
3 . 对下列命题:
(1)若命题
,则命题![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed598e8d3f64d994c6be400a01f8e29.png)
(2)
的最小值为4;
(3)
是各项均为正数的等比数列,则
是等差数列;
(4)
,且
是锐角,则实数的取值范围为
;
其中所有正确命题的序号为___________ (填出所有正确命题的序号).
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97848955a36d41def3a1c31115cb93a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed598e8d3f64d994c6be400a01f8e29.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92764eb4fd255796e92c2c4db5909efc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc71a2fd8c6b263feea5ff5d6a36121.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b5d531efd6be7ffc145c9c6597afab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf8279481e31e730f866dd047f9224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a891eb0f07654c6dda4380b2fae38e8a.png)
其中所有正确命题的序号为
您最近一年使用:0次
4 . 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
|
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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
5 . 给出以下四个命题:
①数列
为等差数列的充要条件是其通项公式为n的一次函数.
②在面积为S的
的边AB上任取一点P,则
的面积大于
的概率为
.
③将多项式
分解因式得
,则
.
④若那么由
,那么由
以及x轴所围成的图形一定在x轴下方.
其中正确命题的序号为_____________ (把所有正确命题的序号都填上)
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②在面积为S的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a80b31f7ad4793b8097d7f5dac0aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
③将多项式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1435e881ed05c7b1280b47f3802adb05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3b71c650bc4dbda4276185105391ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627411fce8e2b6ab40ac1166b45ada6b.png)
④若那么由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec863a58386c4ef4816602a36d9daa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a150a697011857fb86a58647b03caf07.png)
其中正确命题的序号为
您最近一年使用:0次
2020-06-03更新
|
262次组卷
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2卷引用:2020届陕西省咸阳市高三第三次高考模拟数学(理)试题
6 . 对下列命题:
(1)
的最小值为4;
(2)若
是各项均为正数的等比数列,则
是等差数列;
(3)已知
的三个内角
,
,
所对的边分别为
,
,
且最大边长为
,若
,则
一定是锐角三角形;
(4)若向量
,
,且
是锐角,则实数的取值范围为
;
其中所有正确命题的序号为_________ (填出所有正确命题的序号).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92764eb4fd255796e92c2c4db5909efc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc71a2fd8c6b263feea5ff5d6a36121.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95563a79e3b68c597ae1e5167516ff88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(4)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62eed5791457162b13ee2441e4ce5a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c0e5d846bda84a19077cc7ad8f4ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6d51b27236dbd7f32f5e1ac86c9e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a891eb0f07654c6dda4380b2fae38e8a.png)
其中所有正确命题的序号为
您最近一年使用:0次
2020-07-25更新
|
502次组卷
|
2卷引用:四川省眉山市2019-2020学年高一下学期期末考试数学试题
7 . 已知函数
,有下列四个命题:其中正确命题的序号为_____ .(填上所有正确命题的序号)①若
,要得到函数
的图象,只需将函数
的图象向右平移
个单位;②若
,则函数
的一个对称中心为
;③若
的一条对称轴方程为
,则
;④若方程
的正实数根从小到大依次构成一个等差数列,则这个等差数列的公差为
.
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/32f58c7f1fa74f2ca2271e782f87f7ee.png?resizew=220)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/b8e81a0b121e4dfb8c1e7675b9b54f1d.png?resizew=93)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/eef3657ef1714f52a100d893c3ccfc78.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/a4e4853cbeec486f89e3ce5a9eaca63c.png?resizew=77)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/1957592ddd084e389a3693003ac415fb.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/fbb46f9fc2634e0f8492014b9dad2370.png?resizew=81)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/eef3657ef1714f52a100d893c3ccfc78.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/b20535b79ff94fe9b2c279563f4f0105.png?resizew=46)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/eef3657ef1714f52a100d893c3ccfc78.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/a203d6e592594c92a743495ed3cd8df7.png?resizew=42)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/398232110d724cb3adcbffd032a07453.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/9bc706598cd249dc87e83ab189046b0e.png?resizew=143)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572816948092928/1572816954245120/STEM/9bd24ca6953245f5a16a96b0f6f10050.png?resizew=15)
您最近一年使用:0次
名校
解题方法
8 . 设等差数列
的前
项和为
,则有以下四个结论:
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
,且
,则
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
,且在前16项中,偶数项的和与奇数项的和之比为3:1,则公差为2
④若
,且
,则
和
均是
的最大值
其中正确命题的序号为___________ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd67cf18bd35149475d35f1c603ad59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45c65fa15317b33766389407c427668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3c579e5e0540f190994cbb5b0653a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8bdb404dcbe74cd8bbd30de782a8fa.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8933c07e3651731291184c080766c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41c4154f019120be078200f2dff6f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
其中正确命题的序号为
您最近一年使用:0次
2023-11-26更新
|
508次组卷
|
5卷引用:宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题
宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题北京朝阳区六校联考2024届高三12月阶段性诊断数学试题北京第五中学2023-2024学年高三下学期开学检测数学试卷(已下线)2024年高考数学二轮复习测试卷(北京专用)(已下线)4.2.2 等差数列的前n项和公式——课后作业(提升版)
9 . 已知数列
满足:
,
,
,且对任意的正整数m,n,当
或2时,都有
,则下列结论中所有正确结论的序号为________ .
①
,②数列
是等差数列,③
,④当n为奇数时,
.
![](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/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced4e381e8c3336848b8c436dbc584f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287f6702f2d93fdb1c16708d064a3f08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165148fcddfe26f179443f61337a484.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da6e97248df8f138ebe684c40c950c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87531a218e635718c6385fa11433d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856b5b080869d8702d5e819c35583617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0899fe5bf8591856eb0aec7b0d8ae11e.png)
您最近一年使用:0次
2023-11-12更新
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274次组卷
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2卷引用:上海市育才中学2024届高三上学期期中数学试题
名校
解题方法
10 . 已知等差数列
的前n项的和为
,且
,有下面4个结论:其中正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-04-10更新
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2卷引用:云南省昆明市第十中学2021-2022学年高二12月月考数学试题