解题方法
1 . 若函数
,且数列
满足:
,则数列
的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
_______ ;以
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39222f0687c9124bddb35544bcc7798.png)
为三角形三边的长,作一系列三角形,若这一系列三角形所有内角的最大值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbe3c20a56f99143027e17a581510b9.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0f1e94319de41800fc34bf4f0c80f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a369cb576a3cfc87dd7ef5140c6933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39222f0687c9124bddb35544bcc7798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f40ba28d4de58fa9602eb38608551cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbe3c20a56f99143027e17a581510b9.png)
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2022高二·全国·专题练习
解题方法
2 . 已知
,其中
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f079f68d7cc26a6f767dc684e5e9decd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2334cf54d1df1edf48027d46161fc926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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3 . 已知各项为正数的数列
的首项是1,满足:
,数列
的前
项项和是
.
(1)判断数列
单调性,并说明理由;
(2)求数列
的通项公式;
(3)
表示正整数
的各个数位上的数字之和,如
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7a4605f6cdcaabece521f8d2848b20.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)
(1)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bdc58f24200ee4e4ed62581ecc9450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf385f1d2365e9ac40542df31f66f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b8fa53eb04b784845e2114ec2f6322.png)
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4 . 对于三次函数
,给出定义:设
是函数
的导数,
是函数
的导数,若方程
有实数解
,则称
为函数
的“拐点”.某同学经过探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且“拐点”就是对称中心.若函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a48fe8385926b06f860d6bab1e29605.png)
A.![]() ![]() |
B.![]() |
C.点![]() ![]() |
D.![]() |
您最近一年使用:0次
2022-12-08更新
|
1151次组卷
|
3卷引用:全国名校大联考2022-2023学年高三上学期第三次联考数学试卷
全国名校大联考2022-2023学年高三上学期第三次联考数学试卷(已下线)第五章 一元函数的导数及其应用章末测试卷-【高分突破系列】2022-2023学年高二数学同步知识梳理+常考题型(人教A版2019选择性必修第二册)黑龙江省齐齐哈尔市富裕县第三中学2023届高三上学期11月月考数学试题
5 . 已知函数
满足
,若数列
满足
,则数列
的前20项的和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfca9e2cea383880fb2dfe0e71b9e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99cddaade01dd53a84b471c21311c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.230 | B.115 | C.110 | D.100 |
您最近一年使用:0次
2022-11-18更新
|
2515次组卷
|
10卷引用:宁夏吴忠市吴忠中学2022-2023学年高二上学期期中考试数学(理)试题
宁夏吴忠市吴忠中学2022-2023学年高二上学期期中考试数学(理)试题第4章 数列 单元综合测试卷-2022-2023学年高二数学新教材同步配套教学讲义(苏教版2019选择性必修第一册)(已下线)数列求和(已下线)第五章 数列(A卷·知识通关练)(3)(已下线)拓展二:数列求和方法归纳(2)第四章 数列章末重点题型归纳(4)(已下线)专题11 数列前n项和的求法 微点2 倒序相加法求和(已下线)专题09 数列求和6种常见考法归类(1)(已下线)第07讲 拓展二:数列求和(10类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)(已下线)微专题1 数列综合应用-2023-2024学年高二数学《重难点题型·高分突破》(苏教版2019选择性必修第一册)
2022高三·全国·专题练习
解题方法
6 . 已知函数
.
(1)证明函数
的图像关于点
对称;
(2)若
,求
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b1dde2ed03e165f2490276b9bebf7c.png)
(1)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461d7c9510f0cd34115560268e06da80.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90159543871013c5b7885df153426ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
解题方法
7 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9eb5a7ab2dd2a625a90c932d0dc588.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c9602285be94cd2e7c250a8717c7ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9eb5a7ab2dd2a625a90c932d0dc588.png)
您最近一年使用:0次
8 . 设
是函数
的图象上任意两点,且
,已知点
的横坐标为
.
(1)求证:
点的纵坐标为定值;
(2)若
且
求
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8cab3add12dd55b5ee45c2f31b24081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ac6a58d2abf245314865594db00b32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f55c963b00ebf4da2e233283b3654fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42c90ae42390640762c2bb6675ae89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2022高三·全国·专题练习
9 . 已知等差数列
满足
(
,
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9f847ec0794475f89baaee1ca2095c.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed81e77ee289f26c4ac0a3eb30ea0a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a40142c84be68ee2918c3a8303388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9f847ec0794475f89baaee1ca2095c.png)
您最近一年使用:0次
2022-11-06更新
|
888次组卷
|
5卷引用:专题06数列必考题型分类训练-2
(已下线)专题06数列必考题型分类训练-2上海市奉贤区2022届高三下学期5月高考模拟数学试题(已下线)4.2 等差数列(4)(已下线)2023年上海高考数学模拟卷02甘肃省临夏州积石山县三校2023-2024学年高二上学期期中联考数学试题
解题方法
10 . 已知
,
是函数
的图象上的任意两点(可以重合),点M为AB的中点,且M在直线
上.
(1)求
的值及
的值;
(2)已知
,当
时,
,求
;
(3)若在(2)的条件下,存在n使得对任意的x,不等式
成立,求t的范围.
![](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/fefea9b286e1b7ac5817cc9c9616bb69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6e75677951ef1388f76aee5a779149.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d33d9dd40d026e06bc3970d29db9bdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8341aaf7a08fa67f9ea43d45cfe5bd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)若在(2)的条件下,存在n使得对任意的x,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2bd56a5232aa281e1904f29c902c7e.png)
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