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解题方法
1 . 艾宾浩斯遗忘曲线描述了人类大脑对新鲜事物遗忘的规律.基于此,某课题小组研究发现,在学习课程
后每经过一个星期,会遗忘掉所记忆内容的
.为使得所记忆的内容不低于原来的
,最多在
个星期之后对所学内容进行复习,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
__________ .(
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ee628efd6b2f7296c106dd5cbae42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d7abf02717d6e59d8a64a65a87c412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96209d77ac4893605e355c6597269492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8288e1d872c6b5872b84a32469ff9e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5114e1dbd4fc973e99293e1fdb3def.png)
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2 . 若函数
满足下列条件:在定义域内存在
,使得
成立,则称函数
具有性质
;反之,若
不存在,则称函数
不具有性质
.
(1)证明:函数
具有性质
,并求出相应的
;
(2)已知函数
具有性质
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110e5b2f8a412dc6528df8da2ed66cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc4e3775c850f1c1804f9eb7a70153a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099e54df7bf582badbca0e1d3794b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知正实数
,
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967d662a83942b23f2029bb73aa59372.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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4 . 求下列各式的值
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ae7fe2fd45f453cf60ebdf93e6302d.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ae7fe2fd45f453cf60ebdf93e6302d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6ca44d090e100a534875c059c8bce6.png)
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5 . 求下列各式的值
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ae7fe2fd45f453cf60ebdf93e6302d.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ae7fe2fd45f453cf60ebdf93e6302d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ab037392bf5f09447e5c8f5e34080b.png)
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6 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578bf56c33636a68f547abd5c954aea1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6efc0dd4a184c51caa3b4b6a7da09302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578bf56c33636a68f547abd5c954aea1.png)
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7 . 计算与化简:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211daa3d89589b73f078a598ac57c974.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211daa3d89589b73f078a598ac57c974.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2a861e6c7a95fb3d3e1218607d1385.png)
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解题方法
8 . 已知正实数
,
满足:
,则
的最小值为______ .
![](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/7fb17b13fe06c9edb13b178737a44279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ab7024f73ff0cb7e6a48197538a91e.png)
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解题方法
9 . 已知
,
,
,下面结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab0c2f58e04dc67f047361914db83d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27544a41f1e87f6412c2804280612dfa.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-05-21更新
|
831次组卷
|
3卷引用:海南省海口市2023届高三模拟考试数学试题
10 . 已知x,y,z都为正数,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1581cc0ce70271c1b10d00fa0e3f628f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-04-25更新
|
1131次组卷
|
4卷引用:海南省海口中学2023届高三全真模拟考试数学试题
海南省海口中学2023届高三全真模拟考试数学试题海南省西南大学东方实验中学2023届高三模拟考试(5月押轴模拟)数学试题(已下线)第三章 利用导数比较大小 专题一 同构具体函数比较大小 微点4 构造具体函数比较大小综合训练(已下线)微考点1-1 新高考新试卷结构中不等式压轴4大考点总结