1 . 已知函数
,则“
有极值”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8928d967ae0e2912df78b91782126f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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473次组卷
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7卷引用:江西省部分学校2023-2024学年高二下学期第二次月考(5月联考)数学试题
解题方法
2 . 如图是飞行棋部分棋盘,飞机的初始位置为0号格,抛掷一枚质地均匀的骰子,若抛出的点数为1,2,飞机向前移一格;若抛出的点数为3,4,5,6,飞机向前移两格.直到飞机移到第
(
且
)格(失败集中营)或第
格(胜利大本营)时,游戏结束.则飞机移到第3格的概率为___________ ,游戏胜利的概率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5d0a73f50b3e4583f1c1b6d6bf0d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56c561ae92deb820c04628859bb7543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
3 . 已知某函数的部分图象如图所示,则下列函数中符合此图象的为( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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3卷引用:江西省南昌市第十中学2023-2024学年高二下学期第二次月考数学试题
解题方法
4 . 如图,有一张较大的矩形纸片
分别为AB,CD的中点,点
在
上,
.将矩形按图示方式折叠,使直线AB(被折起的部分)经过P点,记AB上与
点重合的点为
,折痕为
.过点
再折一条与BC平行的折痕
,并与折痕
交于点
,按上述方法多次折叠,
点的轨迹形成曲线
.曲线
在
点处的切线与AB交于点
,则
的面积的最小值为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcab46b9032d25a660af389a6a37210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d71ba52c97faad3a085b9989969145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d36626c9e45a25e8dc5bf4be4dbbfb3.png)
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2024-05-20更新
|
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3卷引用:江西省南昌市2024届高三第二次模拟测试数学试题
名校
解题方法
5 . 不经过第四象限的直线
与函数
的图象从左往右依次交于三个不同的点
,
,
,且
,
,
成等差数列,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4c6592bbbee1498da630bd431299fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132668fc41c8266ba917dc5b4995c6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0a4d02005ed2c048b59856ad98c030.png)
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2024-05-14更新
|
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2卷引用:江西省景德镇市2024届高三第三次质检数学试题
6 . 已知
,
为
上一点,且满足
. 动点
满足
,
为线段
上一点,满足
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e39fda3cda5ddc03b085413f2030aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f750b00c80522cbf882b082def2ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaea990fecc2f3d041f04e0350109545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60873ab38fcd6afbdcd8c1416a528a13.png)
A.若![]() ![]() |
B.当![]() ![]() ![]() |
C.点![]() ![]() |
D.![]() ![]() |
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2024-04-29更新
|
470次组卷
|
2卷引用:江西省南昌市2024届高三第二次模拟测试数学试题
名校
解题方法
7 . 已知集合
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbe3e796574057ae408c5ae5f26130f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-04-29更新
|
821次组卷
|
4卷引用:江西省南昌市2024届高三第二次模拟测试数学试题
名校
解题方法
8 . 已知函数
的定义域为
,其导函数为
,若函数
的图象关于点
对称,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac3b9f2559633b745717564096ead14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959e5ab675f526dfb54b05f8f82151b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005761e387f7b83fe50ed6a97bdd7cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e365a0f474ad40f96239b08a1ef52d54.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-18更新
|
2108次组卷
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8卷引用:江西省部分学校2024届高三下学期5月月考数学试题
解题方法
9 . 入冬以来,东北成为全国旅游和网络话题的“顶流”.南方的小土豆们纷纷北上体验东北最美的冬天,这个冬天火的不只是东北的美食、东北人的热情,还有东北的洗浴中心,拥挤程度堪比春运,南方游客直接拉着行李箱进入.东北某城市洗浴中心花式宠“且”,为给顾客更好的体验,推出了
和
两个套餐服务,顾客可自由选择
和
两个套餐之一,并在App平台上推出了优惠券活动,下表是该洗浴中心在App平台10天销售优惠券情况.
经计算可得:
,
,
.
(1)因为优惠券购买火爆,App平台在第10天时系统出现异常,导致当天顾客购买优惠券数量大幅减少,现剔除第10天数据,求
关于
的经验回归方程(结果中的数值用分数表示);
(2)若购买优惠券的顾客选择
套餐的概率为
,选择
套餐的概率为
,并且
套餐可以用一张优惠券,
套餐可以用两张优惠券,记App平台累计销售优惠券为
张的概率为
,求
;
(3)记(2)中所得概率
的值构成数列
.
①求
的最值;
②数列收敛的定义:已知数列
,若对于任意给定的正数
,总存在正整数
,使得当
时,
,(
是一个确定的实数),则称数列
收敛于
.根据数列收敛的定义证明数列
收敛.
参考公式:
,
.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
日期![]() | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
销售量![]() | 1.9 | 1.98 | 2.2 | 2.36 | 2.43 | 2.59 | 2.68 | 2.76 | 2.7 | 0.4 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decf6657efa807fc90353c5e6be0a263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0064de1b957bc9b668565180e34f6f19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f36001b6081f8168466384adb24065c.png)
(1)因为优惠券购买火爆,App平台在第10天时系统出现异常,导致当天顾客购买优惠券数量大幅减少,现剔除第10天数据,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若购买优惠券的顾客选择
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33adb74906403b0b00fcbd9fa691d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
(3)记(2)中所得概率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd7841ef44b17863697517fb5f3039d.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
②数列收敛的定义:已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711c92626a97e6b778b3aa86e663ee97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ccd4537f4dee2050ade38b972eb9b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985dc26a89252b2e8dea815c529a2ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512e8bacfff15253901cd216a1e42013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c5a325806df1a1c3e7ce609fe99085f.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa225ad36ee50c40869d87f694b6c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58291bd91befe1061530246da983727.png)
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2024-04-17更新
|
1713次组卷
|
4卷引用:江西省宜春市丰城市第九中学2023-2024学年高二下学期4月期中考试数学试题
江西省宜春市丰城市第九中学2023-2024学年高二下学期4月期中考试数学试题东北三省四市教研联合体2024届高考模拟(一)数学试卷东北三省四城市联考暨沈阳市2024届高三下学期数学质量检测(二)(已下线)专题03 第七章 随机变量及其分布列--高二期末考点大串讲(人教A版2019)
名校
10 . 甲、乙、丙、丁各自研究两个随机变量的数据,若甲、乙、丙、丁计算得到各自研究的两个随机变量的线性相关系数分别为
,
,
,
,则这四人中,______ 研究的两个随机变量的线性相关程度最高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7134e1107b26fbae9be177bcd71255fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01e6150645e12a6a36b72b17d8edb24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df389c5b47b9bbb35f0b7f292ca982d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f9db69e3a499d7e5b98dd79f97caed.png)
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2024-04-10更新
|
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5卷引用:江西省赣州市十八县(市)二十四校2023-2024学年高二下学期期中考试数学试题