名校
解题方法
1 . 不等式
对于任意的
,
恒成立,则a的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8483af3fd33de39ac3f89537305a5452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c81b53f8bdd3a06b9753c71b55cd10f.png)
A.![]() | B.1 | C.e | D.![]() |
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2024-04-13更新
|
253次组卷
|
2卷引用:河南省叶县高级中学2023-2024学年高二下学期3月月考数学试题
名校
解题方法
2 . 在数列
,
中,
,
,且
,记数列
的前n项和为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ ,数列
中项的最小值为______ .
![](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/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6eb56d8d369264c5c45f2f77f2d60b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798edbaaf5c08abe1f1330e40a5f75f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3bc907fe03ad648a78548de36bcc6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52c9237cb0b4acc568d4afb12997186.png)
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3 . 设数列
的前n项和为
,已知
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6171a1e3416416bb21ccf90091c941.png)
A.![]() | B.![]() |
C.9980是![]() | D.![]() |
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名校
解题方法
4 . 已知数列
是等比数列,数列
是等差数列,且
,
,
.
(1)求数列
和
的通项公式;
(2)记
,数列
的前n项和为
,求满足
的最小的正整数n的值.
![](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/fd5c206e70fdd64f4a3271fa68e5b2ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b353688e2f41e6aa543cf38656fa49c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985887830a2976c0ff8af1e602a9360.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d44ddab6e0c60119be69985ae7fa65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa06f906c8f9b48407cc1c52f9629cc6.png)
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5 . 下列说法正确的是( )
A.![]() ![]() |
B.6个朋友聚会,见面后每两人握手一次,一共握手15次 |
C.A,B,C,D,E共5名同学站成一排,要求A,C必须相邻,B,E不能相邻,则共有24种不同的站法 |
D.将4名医护人员安排到呼吸、感染两个科室,要求每个科室至少有1人,则共有18种不同的安排方法 |
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名校
6 .
的展开式中
的系数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44eb0e9c5dcb4bdca93d0d49dc0dff42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
A.70 | B.140 | C.280 | D.560 |
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7 . 已知函数
.
(1)若
在
处取得极值,求
的单调区间;
(2)若
在区间
上单调递增,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085c6e475bef90e8874e4cb7771302a2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f48e1c656aace41360467f254e359d.png)
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2024-04-01更新
|
376次组卷
|
3卷引用:河南省叶县高级中学2023-2024学年高二下学期3月月考数学试题
名校
8 . 已知函数
.
(1)若
恰有两个零点,求a的取值范围;
(2)若
的两个零点分别为
(
),求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e498dc0ac7b435ae0b600df63b9e2950.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d60d1ff5429bd35707fd80d714dc93.png)
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2024-04-01更新
|
650次组卷
|
5卷引用:河南省叶县高级中学2023-2024学年高二下学期3月月考数学试题
名校
9 . 等比数列
的前n项和为
,若
,
,则公比
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daec249a65a576e1238c9291aee37d71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53336b8da6b325a9fe6662facc798d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
A.3 | B.![]() | C.3或![]() | D.2 |
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名校
10 . (1)已知
,求
展开式中的第二十九项;
(2)已知
展开式中各项二项式系数之和为64,求
展开式所有项的系数之和;
(3)已知
,求
展开式中系数最大的项(结果中项的系数可以不计算).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c1f2cfe5afb8540cf4b14ea23ccb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1869c35e5efe998c5967d5feddac0cb1.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1869c35e5efe998c5967d5feddac0cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1869c35e5efe998c5967d5feddac0cb1.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafbc94594b8c877de8883dea10e374c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1869c35e5efe998c5967d5feddac0cb1.png)
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