1 . 记
的内角
,
,
的对边分别为
,
,
,已知
.
(1)若
,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/4e8543a7a7e8168c883b55148aeef2e3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5e009486af263893ca8290be72f258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd4c6a344ae3c8d5a6f2b875015467.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f44c181a2f6ae22d5d52b374768dc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aaad82942652c0fff3ce8e1384f3c6a.png)
您最近一年使用:0次
2022-11-22更新
|
2550次组卷
|
3卷引用:江苏省"清宵一数"2022-2023学年高三上学期11月第二次学情调研数学试题
名校
解题方法
2 . 已知函数
.
(1)求证:
;
(2)若
恒成立,求实数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8469ec6106638c7e8ea542cfa4ffc0.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d6848b0e6b6315bb84006d418e0702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-05-28更新
|
712次组卷
|
2卷引用:江苏省南京市教学研究室2022届高三下学期高考前辅导数学试题
解题方法
3 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912276487014d39fd0ee156500247426.png)
(1)判断是否存在实数
,使得
在
处取得极值?若存在,求出实数
;若不存在,请说明理由;
(2)若
,当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ba70b48aedfd52e2443e3bdcfbdf7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912276487014d39fd0ee156500247426.png)
(1)判断是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c0a8155f5a6af42d37856f6c95a0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447d6f62c09c1d05346fd16a24159f6e.png)
您最近一年使用:0次
名校
4 . 已知函数
=e2x,
,m>0,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(1)若函数
有两个零点,求实数m的取值范围;
(2)若直线
是曲线
=e2x的一条切线,求证:a>b,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5734d093f305e687e303a62a6860f790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d733483fdf7269db1e357c6207d2747.png)
您最近一年使用:0次
名校
5 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6209eb99f80b0b94a6344f14ac61f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9183c4e54dc60789f991fd5d8b2077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e2f790d89a67c47551b6ee80f988cc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-05-14更新
|
2820次组卷
|
13卷引用:江苏省南京市江宁高级中学2022届高三下学期适应性考试数学试题
江苏省南京市江宁高级中学2022届高三下学期适应性考试数学试题吉林省吉林市2022届高三下学期第三次调研测试理科数学试题吉林省吉林市2022届高三下学期第三次调研测试文科数学试题广西桂林市国龙外国语学校2021-2022学年高二6月月考数学(理)试题(已下线)专题3-5 压轴小题导数技巧:比大小- 2辽宁省铁岭市六校协作体2022-2023学年高三上学期第一次联考数学试题重庆市第十一中学校2023届高三上学期9月月考数学试题陕西省商洛市洛南县第二高级中学2022-2023学年高三上学期三模理科数学试题内蒙古赤峰市林东第一中学2023届高考数学模拟试题(已下线)4.2 利用导数求单调性(精练)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)(已下线)4.4 构造函数常见方法(精练)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)(已下线)专题15 盘点构造函数能解决的六种问题-2江西省九校2024届新高三上学期联合考试数学试题
名校
6 . 已知函数
=(x2-x+1)ex-3,
,e为自然对数的底数.
(1)求函数
的单调区间;
(2)记函数
在(0,+∞)上的最小值为m,证明:e<m<3.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478cebfa8c8fe0ba9a301bd50d83749a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
2022-05-06更新
|
1066次组卷
|
3卷引用:江苏省南京市2022届高三下学期5月模拟数学试题
7 . 已知函数
.
(1)证明:
;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d04a34b09c2a9bc1c274ea61c1965d.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83dafe775d21f864ab57ba52a1eab4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61efcadfa163d569f93d36a1bfa4bc.png)
您最近一年使用:0次
名校
8 . 已知
.
(1)讨论
的单调性;
(2)已知函数
有两个极值点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ebcf3530aab15b10292e992a1cd070.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8b8bceaf40b50b078a76793310856f.png)
您最近一年使用:0次
2020-05-29更新
|
1001次组卷
|
4卷引用:江苏省南京市雨花台中学2022-2023学年高三上学期“零模”模拟调研数学试题