解题方法
1 . 集合
的整数元素的个数为
,数列
的前n项和为
,满足
,
,且
,都有
成立,下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd5eb55b7d5afbbc2e9adbfbd2c6da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a48e76200db6510369b47b3dcdeba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c0e76cc052b81d0534979470a89cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076e60926a8baccb37ecba4b571ed128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9544eeec3735c96416b28aa01bb92c7.png)
A.数列![]() ![]() |
B.![]() |
C.实数![]() ![]() |
D.数列![]() |
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解题方法
2 . 已知实数
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a91839fa889293952dc53c2d5a399874.png)
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3 . 过点
作圆
的切线,A为切点,
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80bdb84ef7474ce126dfcc51641815b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754826457671db8939098215943e656a.png)
A.![]() | B.![]() | C.4 | D.3 |
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解题方法
4 . 已知
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebb599fe52ff995a90e947d4ccaca99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b465efab5a93bdaf53eff6253915b0e2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 数列
的通项公式为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f738fe91a4e82dcfe0ec5fdec0e57fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.![]() | B.![]() | C.5 | D.8 |
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2024-03-26更新
|
881次组卷
|
3卷引用:辽宁省鞍山市第六中学2024届高三下学期第二次质量检测数学试题卷
名校
6 . 若函数
使得数列
,
为递减数列,则称函数
为“数列保减函数”,已知函数
为“数列保减函数”,则a的取值范围( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58e99e3c3a921cd712906b0a3b1091d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74da4b06c434c46d5a8958ad77f2592.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-25更新
|
484次组卷
|
2卷引用:辽宁省协作校2024届高三下学期第一次模拟考试数学试题
名校
解题方法
7 . 设
,
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19bce4c604450307f40dcbd6a9ca6c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a300254f7bb3190403f673d4ab9279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5560ce3b9dd633462ce1338ae137d38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-04更新
|
1446次组卷
|
2卷引用:辽宁省沈阳市五校联考2024届高三上学期期末数学试题
名校
8 . 等差数列
与
的前
项和分别为
与
,且
,则( )
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9703b928d7d64a08b1a57c226d9ce134.png)
A.当![]() ![]() | B.当![]() ![]() |
C.![]() | D.![]() |
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2024-01-12更新
|
1036次组卷
|
2卷引用:辽宁省“创新发展教研联盟”2024届高三第一次联考数学试题
名校
解题方法
9 . 已知数列
是公比不相等的两个等比数列,令
.
(1)证明:数列
不是等比数列;
(2)若
,是否存在常数
,使得数列
为等比数列?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d44ddab6e0c60119be69985ae7fa65b.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0141988a5f2a050086b711669b704a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941ff47ccce8e547c5bfad054a85cd5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-12-28更新
|
791次组卷
|
2卷引用:辽宁省“创新发展教研联盟”2024届高三第一次联考数学试题
10 . 已知数列
中,对于任意正整数
,
,都有
且
.
(1)求数列
的通项公式;
(2)若数列
满足
,求数列
的前2024项和
.
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4604ca3bd128103bbb2b2861b86a9b9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e2a490a1f7c36ee918e9de2c535a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addee6ce5163a2580888ce2da22714af.png)
您最近一年使用:0次