名校
1 . 已知数列
满足
,其前
项和
满足
.
(1)求
,
的值并猜想
的表达式;
(2)请用数学归纳法证明(1)中的猜想;
(3)求使得
成立的最小正整数
的值.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f202691b9945196c259fd0a72ddbe0c7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)请用数学归纳法证明(1)中的猜想;
(3)求使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb02b16b5d47d272352da732068226c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
解题方法
2 . 已知函数
,
(
).
(1)当
时,解关于x的不等式
;
(2)判断函数
的奇偶性,并证明;
(3)若
在
上恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6987701d00f14d9c9cd45cbdb000607b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597ca5bf7e8d0959c1ca65962b6a4200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df49341b57eb107f416a014903ce25a8.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ed9438ae4a904513246620ab76403d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
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3 . 设函数
.
(1)试写出函数
的单调区间,并对于
的情况用函数单调性的定义给予证明;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d65ad1e40bac86f172417af408e849a.png)
(1)试写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
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名校
4 . 定义在
上的函数
满足:对任意的
,
都有
.
(
)求
的值;
(
)若当
时,有
,求证:
在
上是单调递减函数;
(
)在(
)的条件下解不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f687ec9f51a0c04fa866df42e0cd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2716abdad63441eba9523f2027ae546b.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01d07f3a82196cabb98a2ab98686eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8e7f002ffeda8aef911abe5c0d596f.png)
您最近一年使用:0次
2018-08-20更新
|
3569次组卷
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3卷引用:北京市西城区156中学2017-2018学年高一上学期期中考试( 北师大版) 数学试题
北京市西城区156中学2017-2018学年高一上学期期中考试( 北师大版) 数学试题(已下线)《2018-2019学年同步单元双基双测AB卷》必修一 月考一 第一章单元测试卷 B卷安徽省安庆市桐城中学2019-2020学年高一上学期第一次月考数学试题