名校
解题方法
1 . 已知函数
,其中e是自然对数的底数.
(1)若关于x的不等式
在
上恒成立,求实数m的取值范围;
(2)已知正数a满足:
,试比较
与
的大小,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c79728eda595218be2154adf12590b.png)
(1)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea897547a3c134c8d39e8ab3173ba76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
(2)已知正数a满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac10f3518a6b80e4dfd43e5dd5620fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b52fba05677343daa1d9e8cffc40d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df45bf44f25112b0ef26da665f194ef5.png)
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2 . 对任意正整数
,
,定义函数
满足如下三个条件:
①
;
②
;
③
.
(1)求
和
的值;
(2)求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad01b28c2aa9d86daa50de5a9fe698a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/970436d8d9f7cde9d575a06b865401b5.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01949437a6bc62992e75dd83edce858b.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f204e40909db917c5d8afd5c87538d6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c419443119783c21eca0712e8640fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6557f447290815751d520f3da385c730.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad01b28c2aa9d86daa50de5a9fe698a.png)
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名校
3 . 已知
,试求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a31c4a4cedc3088d78a01ed4928a981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
您最近一年使用:0次
2019-01-28更新
|
591次组卷
|
2卷引用:江苏省盐城市滨海中学2022届高三下学期高考前指导数学试题(一)
名校
4 . 已知函数
.
(1)若对于任意的
,均有
,证明:
;
(2)当
时,证明:对于任意的
,
成立的充分必要条件为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228ec94a217b7fab0cfe5e23a891a403.png)
(1)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e333ce67e47ca86f2737c6426e00c6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366839b25310cb3168d411b1d5f73b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b41da54debbb3f80eddedf2d0eacf4.png)
您最近一年使用:0次
2018-12-04更新
|
172次组卷
|
2卷引用:2016年全国高中数学联赛江苏赛区复赛试题
5 . 设多项式
.若对于任意的非负实数x、y,有
求a、b、c所满足的条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361f061dc2ffb78c0e3aca7b428723a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367936b458618efb6b2eadc843e5d6ba.png)
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6 . 圆周上依次排列着
共2013个不同的点,每个点染红、蓝、绿三色之一.在以任意两个同色点为端点的圆弧上,与此两端点异色的点的个数为偶数的染色方法称为“好染色”问:所有好染色方法有多少种?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93be3acf54c4df56a29c7a32e465ec1a.png)
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10-11高一下·江苏连云港·期末
7 . 已知锐角
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f49b5d4807884f3dae8a47719ce4d02.png)
,若
,(1)求
的表达式;
(2)当
时,求(1)中函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1c8146d084248c9c65dd8a11801905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f49b5d4807884f3dae8a47719ce4d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8493585dbefe67b1b876f0d391b19a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90984954a048f7b4559b90a8618ac149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa7af8f87b4f540eefe5aa180677ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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8 . 设函数
(
为给定的实数,
),试求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2073fcc489c4f10ec488c1bcd922a291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f002167665ec6b0a26ff88568d120ef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffbb4e6b92463a41bd9460dac6b1ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2008高三·江苏·竞赛
9 . 已知函数
在x=1时有最大值1,
,且
时,
的取值范围为
,试求m、n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ef84bae8ff461a9c6af7a22aaae3ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a0a547c81fe36ab8c3ea79622ce7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a56806c9bf7927769af420fdabe96cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e5aa1bde431ba57857f6b30033095e.png)
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