解题方法
1 . 某届奥运会上,中国队以26金18银26铜的成绩列金牌榜第三、奖牌榜第二.某校体育爱好者在高三年级一班至六班进行了“本届奥运会中国队表现”的满意度调查(结果只有“满意”和“不满意”两种),从被调查的学生中随机抽取了60人,具体的调查结果如下表:
(1)在高三年级全体学生中随机抽取1名学生,由以上统计数据估计该生持满意态度的概率;
(2)若从一班和二班的调查对象中随机选取4人进行追踪调查,记选中的4人中对“本届奥运会中国队表现”不满意的人数为
,求随机变量
的分布列及数学期望.
班号 | 一班 | 二班 | 三班 | 四班 | 五班 | 六班 |
频数 | 6 | 10 | 13 | 11 | 9 | 11 |
满意人数 | 5 | 9 | 10 | 6 | 7 | 7 |
(2)若从一班和二班的调查对象中随机选取4人进行追踪调查,记选中的4人中对“本届奥运会中国队表现”不满意的人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
您最近一年使用:0次
2020-03-05更新
|
304次组卷
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2卷引用:内蒙古包头市2018-2019学年高二上学期期末理数试题
名校
2 . 已知以
为首项的数列
满足:
.
(1)当
时,且
,写出
、
;
(2)若数列
是公差为-1的等差数列,求
的取值范围;
(3)记
为
的前
项和,当
时,
①给定常数
,求
的最小值;
②对于数列
,
,…,
,当
取到最小值时,是否唯一存在满足
的数列
?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b020f45693cb1f85ed1b793a60f86a14.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c492ef0c41f7a2f4c15fb27df44a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728e3a4f5e54524bbabe2a4eda052c7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ad75ec865e9e64aafe281d4dd91899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(3)记
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
①给定常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7c8f4a4bc521392c407efb60d9bdc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4a600ed8be6911a37d279bd23dd798.png)
②对于数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eed39c7d611309b01476c15ab242308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7581cdb1703687ff550247f6af8a985a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2019-10-23更新
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3卷引用:上海市交通大学附属中学2019-2020学年高二上学期9月月考数学试题
上海市交通大学附属中学2019-2020学年高二上学期9月月考数学试题(已下线)4.3利用递推公式表示数列(第2课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件上海市大同中学2023-2024学年高一下学期5月月考数学试题
12-13高二下·广东汕头·期中
3 . 某企业拟建造如图所示的容器(不计厚度,长度单位:
),其中容器的中间为圆柱形,左、右两端均为半球形,按照设计要求容器的容积为
,且
,假设该容器的建造费用仅与其表面积有关,已知圆柱形部分每平方米的建造费用为3万元,半球形部分每平方米的建造费用为
(
)万元,该容器的总建造费用为
万元.
关于
的函数表达式,并求该函数的定义域;
(2)求该容器的总建造费用最少时的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac49b5905a071e376f4d0ab2a1d5dc01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19588d170c662b469091a8cc70a1960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f384938f5669d5b15539380fd850d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(2)求该容器的总建造费用最少时的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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15卷引用:2012-2013学年广东省汕头市金山中学高二下学期期中理科数学试卷
(已下线)2012-2013学年广东省汕头市金山中学高二下学期期中理科数学试卷(已下线)2013-2014学年湘教版高二数学选修2-2基础达标4.4练习卷江苏省清江中学2017-2018学年高二12月月考数学试题黑龙江省海林市朝鲜族中学人教版高中数学选修1-1同步练习:第三章 导数及其应用单元测评湖北省武汉市钢城第四中学2019-2020学年高二下学期期中数学试题重庆市万州高级中学2020-2021学年高二下学期4月月考数学试题苏教版(2019) 选修第一册 突围者 第5章 全章综合检测2023版 苏教版(2019) 选修第一册 突围者 第5章 全章综合检测山东省菏泽市定陶区明德学校(山大附中实验学校)2022-2023学年高二下学期创新部第一次月考数学试题(已下线)5.3.2课时3导数在解决实际问题中的应用 第三课 知识扩展延伸(已下线)2014届湖南省四校高三上学期第三次联考理科数学试卷2011年普通高等学校招生全国统一考试文科数学(山东卷)沪教版(上海) 高三年级 新高考辅导与训练 第二部分 走近高考 第二章 不等式高考题选人教B版(2019) 选修第三册 突围者 第六章 高考挑战(已下线)考点18 导数的应用--函数最值问题 2024届高考数学考点总动员
名校
4 . 已知集合
是具有下列性质的函数
的全体,存在有序实数对
,使
对定义域内任意实数
都成立.
(1)判断函数
,
是否属于集合
,并说明理由;
(2)若函数
(
,
、
为常数)具有反函数,且存在实数对
使
,求实数
、
满足的关系式;
(3)若定义域为
的函数
,存在满足条件的实数对
和
,当
时,
值域为
,求当
时函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d924836b4292239d9726c6473d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0e86b7a5ad4a9754d31c883ad4c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d761c4444f5eac17133caaf19d6b9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557eb194cf0abe382609f8e1325b4197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97575938cfea82811a0bd490cacf80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.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/be54db6c82096015c2fd1cfa62a05fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96f3ea0467dc6393d7c4b602175a394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96f3ea0467dc6393d7c4b602175a394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ae286ae8a209bc659ace6354b79abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf50c8be8e33ada7685069f84249b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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5 . 设
为正整数,集合
(
),对于集合
中的任意元素
和
,记
.
(1)当
时,若
,
,求
和
的值;
(2)当
时,设
是
的子集,且满足:对于
中的任意元素
、
,当
、
相同时,
是奇数,当
、
不同时,
是偶数,求集合
中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e2c57ad450df9371b496030fa72cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c365eeee68c896623c8a9f4d1a4e0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b55f4cf8ae3e162d35f35a0fca37b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685b9f5b1c7a74637b819d958a90a99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f427dbec1548b66bd39252abef0ac4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a4a09c7dbd6fabf08ae826cef7af77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f11e21ae74457d0e5ad5504b9decfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272ba5e58ecd8f3369b5964590d834e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a193c5c4a0476eef3339aafa9bca0e61.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.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)
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a193c5c4a0476eef3339aafa9bca0e61.png)
![](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/a193c5c4a0476eef3339aafa9bca0e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2019-10-01更新
|
584次组卷
|
5卷引用:北京市北京景山学校远洋分校2021-2022学年高二上学期数学学科期中测试试题
名校
6 . 对于无穷数列
,
,若
-![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48f3eb2d1c6bfbafcad416458113db8.png)
…,则称
是
的“收缩数列”.其中,
,
分别表示
中的最大数和最小数.已知
为无穷数列,其前
项和为
,数列
是
的“收缩数列”.
(1)若
,求
的前
项和;
(2)证明:
的“收缩数列”仍是
;
(3)若
,求所有满足该条件的
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a030c908b9c00ef9de3d641a24be73d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48f3eb2d1c6bfbafcad416458113db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59b41b7c77e8c85ec98fd942632f5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8424af9108fc00fbf86a3d5c9409e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689a822a0d8b276fbe8596a2f94f7022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ae261d827f6c6721846ffe4766619b.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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff1c33b81ac2f065d37faef37504bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66c1201efe37bb0f8db97f93459d232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2020-01-05更新
|
470次组卷
|
3卷引用:北京交通大学附属中学2021-2022学年高二下学期期中练习数学试题
名校
7 . 汕头市有一块如图所示的海岸,
,
为岸边,岸边形成
角,现拟在此海岸用围网建一个养殖场,现有以下两个方案:
方案l:在岸边
,
上分别取点
,
,用长度为
的围网依托岸边围成三角形
(
为围网).
方案2:在
的平分线上取一点
,再从岸边
,
上分别取点
,
,使得
,用长度为
的围网依托岸边围成四边形
(
,
为围网).
记三角形
的面积为
,四边形
的面积为
. 请分别计算
,
的最大值,并比较哪个方案好.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
方案l:在岸边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e4917c34a4c4e654ace35eb65f179b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2935a591c968df92a8cdd2bf09d96452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
方案2:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5bae99fd8cc60917c8adb7711c2212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e4917c34a4c4e654ace35eb65f179b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b16c49d16305cf1afacc5a9e2bf7e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
记三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2935a591c968df92a8cdd2bf09d96452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b16c49d16305cf1afacc5a9e2bf7e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/d1764ac5-3c45-46dc-a470-c9501e47a040.png?resizew=454)
您最近一年使用:0次
2019-12-26更新
|
592次组卷
|
3卷引用:广东省汕头市金山中学2020-2021学年高二上学期期末数学试题
广东省汕头市金山中学2020-2021学年高二上学期期末数学试题广东省汕头市金山中学2018-2019学年高三上学期期末数学(文)试题(已下线)专题03 三角函数中的实际应用问题(第一篇)-备战2020年高考数学大题精做之解答题题型全覆盖
8 . 已知集合M是具有下列性质的函数
的全体,存在有序实数对
,使得
对定义域内任意实数x都成立.
(1)判断函数
,
是否属于集合M,并说明理由:
(2)若函数
(
,a、b为常数)具有反函数,且存在实数对
使
,求实数a、b满足的关系式;
(3)若定义域为
的函数
,存在满足条件的实数对
和
,当
时,
值域为
,求当
时函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4044456135922a45ca969370b6d6c190.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3cc66b811ad2395efe04d93b61c711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a768cc949e4d1ca3effaa7f82b2156.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d595e4d10ce569e62ceaf56baa189484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc0e89775b2bb2b85b78a4c54519262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
(3)若定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853ba60c6694c19887bfe31cd5183923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2019-12-06更新
|
209次组卷
|
3卷引用:上海市七宝中学2018-2019学年高二上学期9月摸底数学试题
名校
9 . (1)在等差数列
和等比数列
中,
,是否存在正整数
,使得数列
的所有项都在数列
中,若存在,求出所有的
,若不存在,说明理由;
(2)已知当
时,有
,根据此信息,若对任意
,都有
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf82c1e9501358a78d5dde6f32fd2d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358b212c1a075d80c221c0df5b72c8d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1e39dc65e132fa83c02cd0d91168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358b212c1a075d80c221c0df5b72c8d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ef8f0a683e12d585877db46d28933b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
您最近一年使用:0次
10 . 某种病毒感染性腹泻在全世界范围内均有流行,感染对象主要是成人和学龄儿童,寒冷季节呈现高发,据资料统计,某市11月1日开始出现该病毒感染者,11月1日该市的病毒新感染者共有20人,此后每天的新感染者比前一天的新感染者增加50人,由于该市医疗部分采取措施,使该病毒的传播速度得到控制,从第
天起,每天的新感染者比前一天的新感染者减少30人,直到11月30日为止.
(1)设11月
日当天新感染人数为
,求
的通项公式(用
表示);
(2)若到11月30日止,该市在这30日感染该病毒的患者共有8670人,11月几日,该市感染此病毒的新患者人数最多?并求出这一天的新患者人数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)设11月
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若到11月30日止,该市在这30日感染该病毒的患者共有8670人,11月几日,该市感染此病毒的新患者人数最多?并求出这一天的新患者人数.
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