名校
解题方法
1 . 已知函数
,其中
.
(1)若曲线
在点
处的切线方程为
,求
的最小值;
(2)若
对于任意
均成立,且
的最小值为1,求实数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666feed58b970604cab61911a249d24f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832f2474efe89961ef41e884da7660c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2004c72bb72d8bca58c8b37b831e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a860ebb876cedc22a1135d7cf61601c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
2 . 已知函数
,则下列命题正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c44b295fec512c964da60e5e409a998.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.存在实数![]() ![]() ![]() |
D.存在实数![]() ![]() ![]() |
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名校
解题方法
3 .
.
(1)若
的图象在点
处的切线经过原点,求
;
(2)对任意的
,有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc75d573a99fb4f11396d28bc2eed586.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd3ffc5e95e5f22723402501c9916b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52096e4e09e4924f722ec78f3cb7fe41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
4 . 我们把方程
的实数解称为欧米加常数,记为
.
和
一样,都是无理数,
还被称为在指数函数中的“黄金比例”.下列有关
的结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c9c4849920f9b5d6be15d5e73e33b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.函数![]() ![]() |
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5 . 已知函数
.
(1)若
,求
在
处的切线方程;
(2)若函数
有2个零点,试比较
与
的大小关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93bc6e5a4dc1a380eafe763ea38a5a4f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f17871ca2828802d0f55c8b1c4b9fab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a87586537642a6f2edfa703b2aea0ae.png)
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6 . 已知函数
,方程
有五个不等实根
,则实数
的取值范围是______ ;令
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f9aa22f9aef763a84475f2bdb77545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e3397839f4b65912c2f0cfe7f05eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf3677cb4c0794fa59329ac1c1d7254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2431a242e00f4235d0f3dcaa7f52e4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
7 . 已知不等式
有解,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414c8aece4e9ca8d3dfff99e8baedc2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-21更新
|
1355次组卷
|
3卷引用:安徽省皖北五校联盟2024届高三第二次联考数学试卷
名校
解题方法
8 . 已知
,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de7bf62002a3796b5decf4acf2a0e45.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-08更新
|
717次组卷
|
4卷引用:安徽省六安市六安第一中学2024届高考模拟预测数学试题(四)
解题方法
9 . 已知函数
,
,(
).
(1)求函数
的最小值;
(2)若
有两个不同极值点,分别记为
,
,且
.
(ⅰ)求实数
的取值范围;
(ⅱ)若不等式
恒成立(
为自然对数的底数),求正数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1f250516fdeda429f8ee1eb7985a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5822df56cc9a35d6210d2d01b392d03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](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/cb7961cbe98aac6a5fdee94582c341b4.png)
(ⅰ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ⅱ)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186d93ba36fde8219cd40ce9c0d7f531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
解题方法
10 . 已知实数
,对
,
恒成立,则
的取值范围为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7249c3400806014f4bdb788ad166fe80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2305f48ea5dc95e292fbe7812df9f6be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-02更新
|
840次组卷
|
3卷引用:安徽省合肥市部分学校2024届高三下学期高考适应性考试数学试题