1 . 已知数列
是公差不为0的等差数列,
是
和
的等比中项.
(1)求数列
的通项公式;
(2)设数列
满足
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1300e77f7c5741b9b5f7af0bdb9ae76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a26d8ee8bf91cfda41b5b94e6a8415b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2 . 已知函数
.
(1)求函数
的单调区间.
(2)若对
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd7867770c765253eb499191d94bf9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a933eddb3696edb5dc547b7d047bb923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc2d2f3146e7bd2dc078f436f03d0d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知数列
是公差不为零的等差数列,满足
,且
成等比数列.
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8c45e4c4ab30665338dd87a2258f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0d819037777b6bd75f51d599bea541.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44e8d0669e5bb98993cb10e0e7899b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
4 . 数列
、
满足:
,
,
,其中
是数列
的前
项和.
(1)求数列
,
的通项公式;
(2)若
,都有
成立,求实数
的取值范围;
(3)求数列
的前
项和
.
![](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/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a49ef11731716bd34cef68a697d13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea552c924173b924a160ce75d8f7dad.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/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8365233f341451598eb50525a1557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2532e928dda51e91a70a26b60e309094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52c9237cb0b4acc568d4afb12997186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
5 . 已知函数
,
的图象在
处的切线交
轴于点
.
(1)求实数
的值;
(2)求函数
的极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f209ca0e3a3a8ae09a5635d14c6f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b7999fb667f277e8bdee62e6b2560a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf97118ad301f272a3fa66f2aa3abee.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
6 . 某高校实行提前自主招生,老师从6个不同的试题中随机抽取4个让学生作答,至少答对3个才能通过初试,已知某学生能答对这6个试题中的4个.
(1)求该学生能通过自主招生初试的概率;
(2)若该学生答对的题数为
,求
的分布列以及数学期望.
(1)求该学生能通过自主招生初试的概率;
(2)若该学生答对的题数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
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7日内更新
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1104次组卷
|
3卷引用:四川省眉山市仁寿第一中学校(北校区)2023-2024学年高二下学期5月考试数学试题
四川省眉山市仁寿第一中学校(北校区)2023-2024学年高二下学期5月考试数学试题浙江省培优联盟2023-2024学年高二下学期5月联考数学试题(已下线)专题04 随机变量及其分布类常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第二册)
名校
解题方法
7 . 函数
(
,
,
)的一段图象如图所示.
的解析式;
(2)若不等式
在
上恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c830f1abf387dc0a165e9a397d5636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9531427f246890e815b7ed47e78daa78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e988da0b9f8c43f2fc068d71ce6c968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890b9e54643e3bdf813cc1d8a287143c.png)
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解题方法
8 . 在
中,
.
(1)求
;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83c10665b83f1036952080dcd705b1a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7日内更新
|
361次组卷
|
2卷引用:四川省南充高中2023-2024学年高三下学期第十三次月考理科数学试卷(附答案)
名校
解题方法
9 . 记
的内角
的对边分别为
,已知
.
(1)试判断
的形状;
(2)若
,求
周长的最大值.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c080d7a9e9d57910bb399fd28174e29.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 用分层随机抽样从某校高一年级800名学生的化学成绩(满分为100分,成绩都是整数)中抽取一个样本量为100的样本,其中男生成绩数据40个,女生成绩数据60个.再将40个男生成绩样本数据分为6组:
,绘制得到如图所示的频率分布直方图.
(2)已知男生成绩样本数据的平均数和方差分别为71和187.75,女生成绩样本数据的平均数和方差分别为73.5和119,求总样本的平均数和方差.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b6a2737994f830a149513110b8ad8d.png)
(2)已知男生成绩样本数据的平均数和方差分别为71和187.75,女生成绩样本数据的平均数和方差分别为73.5和119,求总样本的平均数和方差.
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