1 . 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 |
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2023-02-11更新
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458次组卷
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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(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)
2010·黑龙江哈尔滨·一模
解题方法
2 . 已知圆
与圆
,在下列说法中:
①对于任意的
,圆
与圆
始终相切;
②对于任意的
,圆
与圆
始终有四条公切线;
③当
时,圆
被直线
截得的弦长为
;
④
分别为圆
与圆
上的动点,则
的最大值为4.
其中正确命题的序号为______ .
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/931d726a0d4841ae9b1c03168c628d0a.png?resizew=220)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/5635d69a619847ba9aaf57794e9012c0.png?resizew=91)
①对于任意的
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/8369f20c30374e03a6b13f5d8f948a15.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/da9f02d104994c8485f6d4b5cd086f65.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/bdbc8b7398634450a3ff71a521b58b72.png?resizew=20)
②对于任意的
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/8369f20c30374e03a6b13f5d8f948a15.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/da9f02d104994c8485f6d4b5cd086f65.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/bdbc8b7398634450a3ff71a521b58b72.png?resizew=20)
③当
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/508345b0c6764b6d9d64ccd1991cf101.png?resizew=40)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/da9f02d104994c8485f6d4b5cd086f65.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/f15d3415524749a3ad5ff841d4133fd6.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/d6b1859244b4448a8674dc717d67ed9a.png?resizew=23)
④
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/02dccdc836cd4166996e9f20863e52e3.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/da9f02d104994c8485f6d4b5cd086f65.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/bdbc8b7398634450a3ff71a521b58b72.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601297408/STEM/67ece29fd5b54627952aefe0fdad7421.png?resizew=35)
其中正确命题的序号为
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23-24高二上·全国·课后作业
3 . 在平面直角坐标系中,下列三个结论:
①每一条直线都有点斜式方程;
②方程
与方程
可表示同一条直线;
③直线
过点
,倾斜角为
,则其方程为
.
其中正确结论的序号为______ .
①每一条直线都有点斜式方程;
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b1710cf3a23c5e714f5d1874267db75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1c526b1a9890dd468d86f87a56063d.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
其中正确结论的序号为
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