名校
解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648ad0df1bf28053141d8ef414885b0f.png)
(1)求
,
的值;
(2)判断函数
在区间
的单调性并证明;
(3)若不等式
对一切
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648ad0df1bf28053141d8ef414885b0f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67bbceac9c742eef1c7e79a681e570b.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e69cdd6c2f610f3a6d6873819e5a3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a193df7aad0d32e5f5afe7b1c6b3aef.png)
您最近一年使用:0次
解题方法
2 . (1)已知
,
,且
,证明:
;
(2)若a,b,c是三角形的三边,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fbf630427da7e2520a3318e9483a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0f82308e68c05f6aa165912589ca50.png)
(2)若a,b,c是三角形的三边,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01721633154e61aa2650bf0b8b10e666.png)
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解题方法
3 . (1)设
,比较
与
的大小关系并证明.
(2)已知
,
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9241861853f8a6300959c0bd5d2da263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a070d6518b58512d61fcb24e889a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fe98cf9536674e3163933cbcc1b994.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3c4af3b4a23d8d7e5fd926a32c5d17.png)
您最近一年使用:0次
4 . 已知
的内角
所对的边分别为
,且
.
(1)证明:
;
(2)若
的面积为
,判断
是否为等腰三角形,并说明理由.
![](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/810bd137541aa7f070081ccf70ff1232.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0f51cf6d70d45e44741ef00c38f858.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f03e9744eab42cb919240c89c1d9b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
5 . 设矩形
(其中
)的周长为24,如图所示,把它沿对角线
对折后,
交
于点
.
(1)证明:
的周长为定值;
(2)设
,且记
的面积为
.求当
为何值时,
取得最大值,并求出最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2da1d50433aecf541991fd0f01773cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/12/63fe3e33-67a5-4c1d-a111-9597e4c830ee.png?resizew=200)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7bcea5a45eeae211f5851f12a7517.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7a3d679b4dae63575903387a76ce45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7bcea5a45eeae211f5851f12a7517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3888740fa8b552b55b4a0c8ae4166007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3888740fa8b552b55b4a0c8ae4166007.png)
您最近一年使用:0次
6 . 已知数列
的首项为
,且满足
.
(1)求证:数列
为等比数列;
(2)若
,求满足条件的最大整数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73d56c0442eccb800e5b1d7222f150.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213e22890204937a5dded4436369390f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b7f876f33e2c07f00c769a1319cab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2023-09-23更新
|
628次组卷
|
4卷引用:贵州省黔西南州部分学校2024届高三上学期9月高考适应性月考(一)数学试题
贵州省黔西南州部分学校2024届高三上学期9月高考适应性月考(一)数学试题贵州省贵阳第一中学2024届高三上学期高考适应性月考数学试题黑龙江省大庆市肇州县第二中学2023-2024学年高二上学期12月月考数学试题(已下线)第05讲 4.3.2等比数列的前n项和公式(7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)
名校
解题方法
7 . 设等差数列
的前
项之和为
,且满足:
.
(1)求
的通项公式;
(2)设
,求证:
.
![](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/63ba590bdc527f0cbfe5ea25eced8ac5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea451369913dd8fd4945fe54ba1d2646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d3cf6c6d56b6faa6d9f036f119a97f.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)利用函数的单调性定义证明函数
在
上单调递增;
(2)比较
,
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5effb3053cf609f59178641cd48167.png)
(1)利用函数的单调性定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
(2)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb53830d2f8326428b67917182d999e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9e85b5736dbca4f9e5034e8a326ee3.png)
您最近一年使用:0次
解题方法
9 . 设数列
满足
.
(1)求
的通项公式;
(2)证明:数列
(
为常数)为等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7243ff0b0111df500a9032918e964805.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91bec6a2a23bc96172ad55a29ee86a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
是等差数列
,若
,
.
(1)求
的通项公式;
(2)证明
是等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5e07bf129b073f37b553fbca100172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fe37db960c29f4e65ff2e41c3c133a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecdd983fbc86b85780272ceaa485213.png)
您最近一年使用:0次
2023-12-12更新
|
1040次组卷
|
6卷引用:重庆市育才中学、西南大学附中、万州中学2023~2024学年高二上学期12月联考数学试题
重庆市育才中学、西南大学附中、万州中学2023~2024学年高二上学期12月联考数学试题(已下线)4.2.1&4.2.2 等差数列的概念与等差数列的通项公式(8大题型)-【题型分类归纳】2023-2024学年高二数学同步讲与练(苏教版2019选择性必修第一册)河南省郑州市钱学森实验学校2023-2024学年高二上学期第二次月考数学试题(已下线)5.2.1 等差数列(4知识点+8题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)1.2.1 等差数列的概念及其通项公式(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)1.2.1 等差数列的概念及其通项公式8种常见考法归类(2)