解题方法
1 . 设曲线
在
处的切线方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fe3ffe16ce7afd33bddb4c9d161fec.png)
(1)求a,b的值;
(2)求证:
有唯一极大值点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a77fd83906b87b88a90c5814e9e9a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ff25c767fcbe6fe596d996031eed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fe3ffe16ce7afd33bddb4c9d161fec.png)
(1)求a,b的值;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe206a3088aff8fe04d8b65a66786372.png)
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2 . 已知函数
.
(1)求函数
在
处的切线方程;
(2)若不等式
对任意的
都成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6480b8438d69bc59dd14170b8402a05e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb4b8aebd425c3adbbb41205a760215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6537674923ed425f9633cb05a3c0c1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5a40a6fb02989bb48ef4ef7e0863fd.png)
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3 . 已知函数
.
(1)讨论
的单调性;
(2)若存在实数
,使
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a55c1b0f776b7623699bb5179fbb123.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600eafdb426af7e2f13fb6f58beec0d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
4 . 已知函数
.
(1)讨论
的单调性;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3d667a7c7a16506b4e37e4494185f6.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
.
(1)若
,证明:曲线
在
处的切线与直线
垂直;
(2)若
,当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6845a29100f7ffb8c3ad1d820592031a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d494dd08ea05abf7e99261b6f05efc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6d40b58666f8c945938aa0d1e8f6b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bad71d89cb1213d8796e1ee84fd171e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08de6d63f3dc41dea59ac1cbd16e8d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1db0ce92b8b408198b4ac4d1ad2ee2e.png)
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6 . 已知函数
,
.
(1)若函数
在区间
上单调递减,试探究函数
在区间
上的单调性;
(2)证明:方程
在
上有且仅有两解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558f93b58a11ac52301f4d64e14f501f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d502d9d892310a0d19dd1dd1675991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)证明:方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acd884552ee3aaecf68b8dca5a41e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
您最近一年使用:0次
名校
7 . 已知函数
的定义域为
,且
,则
与
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871b1f03750cf600bd0db077e1aa4574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759f4c1da57118a8daefac33e2d0e176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ddfbda93b57647be68d85b81b5617d.png)
A.无法确定 | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-03-18更新
|
623次组卷
|
3卷引用:山西省临汾市2020届高三下学期模拟考试(1)数学(文)试题
山西省临汾市2020届高三下学期模拟考试(1)数学(文)试题山西省长治市第二中学2020-2021学年高二下学期期中数学(理)试题(已下线)第三章 利用导数比较大小 专题二 同构抽象函数比较大小 微点1 构造抽象函数比较大小(一)——初等型
解题方法
8 . 已知函数
.
(1)若
在
处的切线与直线
垂直,求
的极值;
(2)设
与直线
交于点
,抛物线
与直线
交于点
,若对任意
,恒有
,试分析
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e6adf3a3caed3ddd73b23416ba5755.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8095fdb64e12a270cb61135e29507f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1be7302f2e9ff02fee3fcf26e77b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8f7fd7368e184037e99934ee9171be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1be7302f2e9ff02fee3fcf26e77b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e452b96dc36b30641488388e77851e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
.
(1)若
在
处的切线与直线
垂直,求
的极值;
(2)若函数
的图象恒在直线
的下方.
①求实数
的取值范围;
②求证:对任意正整数
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5d7bf46fe9b64f762ebcd347d155fb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957446b2f02eeaf2a1e29794036f1131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②求证:对任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ba7d30c23e7ff46853402a9a8a0334.png)
您最近一年使用:0次
2020-03-18更新
|
345次组卷
|
2卷引用:山西省临汾市2020届高三下学期模拟考试(2)数学(理)试题
10 . 已知函数
若
恰有4个零点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a794728cc1b8e7da5fe68ec83d266e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6b28c29a9e823cf1d6c764323d7e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次