1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dee95aef86154934dbb08a8b4d22ef6.png)
(1)当
,证明:
;
(2)若函数
在
上恰有一个极值,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dee95aef86154934dbb08a8b4d22ef6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67abf5793bcee37d634b2487cae2cd08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1798ba947bed1f794c123106b8d5519.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be49aca7bc043fac771c9b8bfe382672.png)
(1)求函数
的最大值;
(2)令
,若
既有极大值,又有极小值,求实数
的范围;
(3)求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be49aca7bc043fac771c9b8bfe382672.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290587f506f21533da4dfcc8e5651930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec4e785fd0458bf1775629a888a2cf7.png)
您最近一年使用:0次
2020-12-03更新
|
934次组卷
|
7卷引用:重庆市璧山来凤中学2022-2023学年高二下学期期中数学试题
解题方法
3 . 已知函数
.
(1)若
是函数
的极值点,求a的值;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9844223d8f25d28c7407ea1ec5c16d26.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b290195a683665cfda98e04ae6e5a7.png)
您最近一年使用:0次
2020-06-25更新
|
512次组卷
|
2卷引用:2020届重庆市普通高等学校招生全国统一考试高三康德卷“三诊”6月调研测试数学(理)试题
名校
4 . 已知函数
,其中
.
(1)若函数
仅在
处取得极值,求实数
的取值范围;
(2)若函数
有三个极值点
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d667b3a7c39a562c17be601690769126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d366f035569c2f881d2add9feaea1b9.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea548a763d2823a80968671e192da1f.png)
您最近一年使用:0次
5 . 给出下列命题:
用反证法证明命题“设a,b,c为实数,且
,
,则
,
,
”时,要给出的假设是:a,b,c都不是正数;
若函数
在
处取得极大值,则
或
;
用数学归纳法证明
,在验证
成立时,不等式的左边是
;
数列
的前n项和
,则
是数列
为等比数列的充要条件;
上述命题中,所有正确命题的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee08def7a24d4255453ad40a77cd4e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fd92e0bbdc7a5fd3d604160cf4306ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19bce4c604450307f40dcbd6a9ca6c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d0ce4e36a37c22267c03b54bd5ba3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f8c4d135ae1aa3911dec9d086b489d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2600a54b7bf3f79aaec7d49a47f6b4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36a91b78ea833d5b09c11366324a845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67312d6fbde2db992b25a11f4ec102b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052c6cf4517966ecebd39354490b1723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c9d7f7f9a3e9ec476f5cf7fda97c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb989bea4883060e495e03e709593361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f13167b6a291eeb91bd9a796745f6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d493ee368a6be6e8de57368520c8cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
上述命题中,所有正确命题的序号为
您最近一年使用:0次