名校
解题方法
1 . (1)求解关于
不等式:
;
(2)已知
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab4b8a5aad5798d6c495fb49a7e3ac5.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9088e31e00eaa4e95c1e6717b0c82cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed54d127c43cf45175f9b66e51f122b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143ef5bbdc4748121e22573ba13eec15.png)
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名校
解题方法
2 . 已知
在
上是关于
的减函数,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d316b45d5b343dd595d59a9ed3ee4f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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23-24高一上·上海浦东新·期末
名校
解题方法
3 . 已知集合M是具有以下性质的函数
的全体:对于任意s,
都有
,
,且
.给出下列四个结论:
①函数
属于M;
②函数
属于M;
③若
,则
在区间
上是严格增函数;
④若
,则对任意给定的正数s,一定存在某个正数t,使得当
时,恒有
.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4028ed0e84791a6da036d71af685b63d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5afc7ce5b1f3ac621c3bc08b4e243278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17dfefdc8541c51ae463de8b36086374.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4bb0ef04eebd9f4e77a17a12687fff5.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/824011429c74a956d032c2cef00dd3f4.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09e6f1d7eb8c037bbd220e4c9110ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e0bfe66763654b90d7030ea69c8acd.png)
其中所有正确结论的序号是
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名校
4 . 已知函数
(
,且
为实数),下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ff290badbf72b59e5585b2d5decb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea0750b1fe2f0aaafa59d399677649a.png)
A.函数![]() ![]() ![]() | B.函数![]() ![]() ![]() |
C.函数![]() ![]() | D.函数![]() ![]() |
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解题方法
5 . 已知函数
,其中
.若关于x的方程
恰有四个不同的实数根,则该方程所有实数根之和的取值范围是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c47efa8231090fc09a5884a3107ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf9b29edeea2257cdd19dabd24c529e.png)
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解题方法
6 . 设
为常数且
,
在
上是严格增函数,则实数
的取值范围是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36565cae1e7c2db1e877a46a84e7bfb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
7 . 设函数
,若存在唯一的正整数
,使得
,则实数
的取值范围是__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e5f75ae65aa0a48e00a6bccb179af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92755ed40510a358dcb77392749fd792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知函数
.
(1)求该函数的定义域,并证明其为奇函数;
(2)判断函数
在
上的单调性,并说明理由;
(3)对于任意
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2d08cc0467eeb8d4fcf4d876729967.png)
(1)求该函数的定义域,并证明其为奇函数;
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
(3)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9186dc3f15560a1e10970193893e9f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a3fc9c353fd2e294d615fc5b4f3914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
9 . 已知全集为实数集
,集合
,
,求:
(1)
;
(2)若对任意的
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b012747aa668545006314686ad9198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f9c07e7f360dbab93263c587a5fe4f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81919684bc4047d376c7e57dc6c8f1c.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d91b4f4d09a05aef843cc1bd0198a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e471669c324e6cae74146a62e1f08ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 函数
的严格增区间为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b225cc99d429a3998b341ce930b935.png)
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