1 . ①
;②
;③
(
为常数)这
个条件中选择
个条件,补全下列试题后完成解答,设等差数列
的前
项和为
,若数列
的各项均为正整数,且满足公差
,____________.
(1)求数列
的通项公式;
(2)令
,求数列
的前
项的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0063e2d2c49dec1f929aacb0f7ad2cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5170584604571b5e1afd5ece941e2e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf55131291c588a3ce65c03c34c483c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5892916236834b88bbae412d97eda48a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91a9dc43bf9fb620e87cacf210160e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2020-06-30更新
|
536次组卷
|
3卷引用:江苏省盐城市2019-2020学年高二下学期期终数学试题
名校
2 . 近期,孩子刷短视频上瘾成为了家长们头疼的新问题.某市多所中学针对此展开的一项调查发现,近九成学生有使用短视频平台的习惯,近一半家长表示孩子或多或少存在沉迷短视频的现象,超半数家长认为短视频成瘾对青少年成长存在严重影响.某校为调查学生成绩下降与“短视频成瘾”之间是否有关随机调查了200名学生的开学考试成绩,其中“短视频成瘾”的学生中成绩未下降的有35名学生,(将总排名下降
视为成绩下降,将刷短视频一天超过两小时规定为“短视频成瘾”![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(1)若样本中“短视频成瘾”且成绩未下降的女生有15名,并在被认为“短视频成瘾”且成绩未下降的对象中按性别采用分层抽样抽取7人,再从中随机抽取2人,求抽到的两人均为女生的概率.
(2)填写下面的
列联表,试根据小概率值
的独立性检验,能否认为成绩下降与“短视频成瘾”有关?
参考公式与数据:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad2925d2ce0e1e8ef352f9501f2590d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(1)若样本中“短视频成瘾”且成绩未下降的女生有15名,并在被认为“短视频成瘾”且成绩未下降的对象中按性别采用分层抽样抽取7人,再从中随机抽取2人,求抽到的两人均为女生的概率.
(2)填写下面的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83caa0ad94044a1e206b1cc0b3f85080.png)
“短视频成瘾” | 没有“短视频成瘾” | 合计 | |
学习成绩下降 | 100 | ||
学习成绩未下降 | |||
合计 | 96 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5faae3568e6ebcf20e57d05f14b9e25d.png)
![]() | 0.15 | 0.10 | 0.05 | 0.025 | 0.010 | 0.001 |
![]() | 2.072 | 2.706 | 3.841 | 5.024 | 6.635 | 10.828 |
您最近一年使用:0次
2022-11-16更新
|
700次组卷
|
5卷引用:江苏省盐城市亭湖高级中学2022-2023学年高三上学期期末数学试题
3 .
“复数
为虚数单位
是纯虚数”是
“
”的______ 条件
请在“充分不必要”、“必要不充分”、“既不充分又不必要”、“充分必要”选择一个最为恰当的答案填写在横线上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34cec359e806a3354757dea0a6a3aabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d3e8c4cf1d11c293f0b3b5cc86d403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce8411079aca57f17d3ead32798f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
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4 . 设
、
表示两条直线,
、
表示两个平面,则下列命题正确的是______ .(填写所有正确命题的序号)
①若
//
,
//
,则
//
; ②若
//
,
,
,则
;
③若
//
,
,则
;④若
,
,
,则
.
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
①若
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/95c7b567fd244329f02bafb1dd8adc41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238f509e26564449419d6375a0894d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923d6ba48f8b0f9111f1bdcb70d087a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526985744fe472beef406c56b531ef85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048e833e0c0995d4cf039ed30ba38b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923d6ba48f8b0f9111f1bdcb70d087a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238f509e26564449419d6375a0894d45.png)
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11-12高二·江苏盐城·期末
5 . 设x>0,从不等式
和
,启发我们可推广到:x+
n+1,则括号内应填写的是 __________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63af71b9e6f71cd26e6e97541154cd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9caafdc3771dd6d3c7828a70bebee2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86105638f18a5f6505cc1a38edb3d2c1.png)
您最近一年使用:0次
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
,直线
是其图象的一条对称轴.
(1)求
的值;
(2)用五点作图法列表画出函数
的草图,并写出函数在
上的单调减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff943f39a23f4c92785bfab754a5773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)用五点作图法列表画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
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7 . 画出下列函数的大致图象:
(1)
.
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c11bc70ddf54136c9e381209d46957f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b679f61778f88938824f483f7a321295.png)
您最近一年使用:0次
12-13高二上·江苏盐城·期末
8 . 某校高二年级的一次数学考试中,为了分析学生的得分情况,随机抽取M名同学的成绩,数据的分组统计表如下:
(1)求出表中M,n的值;
(2)根据上表,请画出频率分布直方图;
(3)为了了解某些同学在数学学习中存在的问题,现从样本中分数在(40,60]中的6位同学中任意抽取2人进行调查,求分数在(40,50]和(50,60]中各有一人的概率.
分组 | 频数 | 频率 | 频率/组距 |
(40,50] | 2 | 0.02 | 0.002 |
(50,60] | 4 | 0.04 | 0.004 |
(60,70] | 11 | 0.11 | 0.011 |
(70,80] | 38 | 0.38 | 0.038 |
(80,90] | m | n | p |
(90,100] | 11 | 0.11 | 0.011 |
合计 | M | N | P |
(2)根据上表,请画出频率分布直方图;
(3)为了了解某些同学在数学学习中存在的问题,现从样本中分数在(40,60]中的6位同学中任意抽取2人进行调查,求分数在(40,50]和(50,60]中各有一人的概率.
您最近一年使用:0次