名校
1 . 已知函数
,其中e为自然对数的底数.
(1)若函数
在
上有2个极值点,求a的取值范围;
(2)设函数
,
),证明:
的所有零点之和大于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffabb66b55e415c2c864685fa5223d2.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef53a8a0375569abd516895e30fa350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddea382d8bece5514a9cbd6a225667e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
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名校
2 . 已知函数
.
(1)若
在区间
上无零点,求实数m的取值范围;
(2)若对任意
,不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182d03ba77b0f6ea5d1bf5317b82c91c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d0460b199768d9e6c8a2e99d4910d1.png)
您最近一年使用:0次
2023-11-28更新
|
471次组卷
|
4卷引用:河南省部分名校2023-2024学年高三上学期阶段性测试(三)(11月)数学试题
河南省部分名校2023-2024学年高三上学期阶段性测试(三)(11月)数学试题江西省宜春市高安市灰埠中学2024届高三上学期期中数学试题(已下线)模块三 大招14 恒成立求参——必要性探路(已下线)专题07 函数与导数常考压轴解答题(练习)
解题方法
3 . 已知定义域为
的函数
满足
,
.数列
的首项为1,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425b13b06dde9063e814313b4b4b96bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d384e50e0ec20bf2c2a691854bc3a5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87b99c117fa782b7f6571cb48f3af9e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 在锐角
中,内角
,
,
的对边分别为
,
,
,已知
.
(1)证明:
.
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8e5ce6c55a720a332a08c07f1a89a1.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2264c134952d41fb9bcb90e6c72c83.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b946d47b25c23a2fb1f8667d7516a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527198678994e900291fc1223c823b62.png)
您最近一年使用:0次
名校
5 . 已知函数
有三个零点
,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b333711b891493c64fec455eb8b480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-24更新
|
504次组卷
|
5卷引用:河南省周口市项城市第一高级中学2023-2024学年高三上学期第四次段考数学试题
名校
6 . 下列不等式成立的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
7 . 已知
;
(1)讨论函数
的单调性;
(2)若
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a948aea40afe8be9440796b5f8f921.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866ac8f1d02f59ba69e8bf3904fe605c.png)
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名校
解题方法
8 . 若
恒成立,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c5c2961209963faa4ba795e89a4b17.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-07更新
|
741次组卷
|
6卷引用:河南省实验中学2023-2024学年高三上学期期中数学试题
名校
解题方法
9 . 已知函数
,
.
(1)若
在定义域内单调递减,求实数a的取值范围;
(2)若
有两个极值点
,
,且
,证明:
.(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfbebe96106abe60a93fa0a23ad3e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6657f5dd2a7723fcee6a7a10ca21d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ece5287bcbb79990f8fa492be735a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
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2023-11-07更新
|
276次组卷
|
2卷引用:河南省湘豫名校联考2023-2024学年高三上学期一轮复习诊断考试(二)数学试题
名校
解题方法
10 . 已知函数
,
,
.
(1)讨论函数
的单调性;
(2)若
,
,
使得
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b497ec1da3c1355620ee73246076339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32a2b4ebc7f1e9ff158715aa9402a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a5ddfe660734d77041fb316ea48815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9670606ab5bc0602301a2cc25151e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
您最近一年使用:0次