解题方法
1 . 当
时,求函数
最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb0825b88c89aa113e4a0b0cbc72a7a.png)
您最近一年使用:0次
2 . 已知
,求
的最大值,并说明x取何值时,y有最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9389b8f9bfa3698ed8847f7201d98623.png)
您最近一年使用:0次
2023高一·江苏·专题练习
解题方法
3 . 当
时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/424fc84d2c0b0a5a9eda4da37f0d4e97.png)
您最近一年使用:0次
2023高一·江苏·专题练习
4 . 已知
在
时取得最小值,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625dcbca972e9ff1502d1965e9a72006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . (1)已知
,求
的最小值;
(2)已知
,求
的最大值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e9029d132adff5937610349c883287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b544384fed4c5b839a07ae8aeae187.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3697ec54c1e6516bb71f5b2431d1870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6934328adb806310163794aa89aa577.png)
您最近一年使用:0次
2023-10-23更新
|
1122次组卷
|
2卷引用:江苏省淮安市楚州中学2023-2024学年高一上学期期初测试数学试题
名校
解题方法
6 . 已知正实数
.
(1)若
,求
的最小值及相应a,b的值;
(2)若
,求
的最小值及相应a,b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44f51f4412cb0c6f19fa8a4158fa7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20c6ab2d0f475b20bb945c1692b6c2e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6320fbdc13c4ab88cf8f577cce4001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
您最近一年使用:0次
2023-10-11更新
|
379次组卷
|
2卷引用:河南省郑州市第四高级中学2023-2024学年高一上学期第一次调考考试数学试题
解题方法
7 . 已知
,求证
.某同学解这道题时,注意到结论中的三个量
,
,
.由已知条件得到
,
,
.进一步发现三者的关系:
.又观察左边式子的结构发现就是两个数的倒数和,从而联想到以前做过的题目“已知
,
,求证
”,类比其解法得到题目的解法:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60d4d44e161c4c3e151ad73024a8228.png)
,当且仅当
时取等号.所以
.求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497d269c30eec393e3f0e877ddbe2983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323f4e181b418a66cc36d75e0f8da126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db8d3facff8f90f28a936fc5b3ab878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea712984ea5017140e20bee226fd5af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481ee0d1e39e92a4732eea90225eb94c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936553b69099e03189581a42a5c1d8aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6e90787c63ca5b5f1a45e0f6e85aaa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c05be59bdd7874fd8e9ee5ba5b17f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86546d8c56d9c72822cc2c834e240ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60d4d44e161c4c3e151ad73024a8228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55eb4703dc394b53fef7d12030c470d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914c9d4dc14490413e77f6262d2a7aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323f4e181b418a66cc36d75e0f8da126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e743594b98ac2006344494dddfb345.png)
您最近一年使用:0次
8 . 已知直角三角形的面积为
,当两条直角边各为多长时,两条直角边的长度和最小?最小值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9202af84bc055b58bd51fae5e3272283.png)
您最近一年使用:0次
2023-10-07更新
|
254次组卷
|
3卷引用:北师大版(2019)必修第一册课本习题第一章3.2 基本不等式
9 . 已知x,y均为正数,试求证:若
(p为定值),则当且仅当
时,
取得最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f43ec9879c5c85482795c2676c3cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b9d5aaaceaa3ac514d17fcfefbf9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280f7cc99fa100b85cc7a133811a9a8d.png)
您最近一年使用:0次
2023-10-07更新
|
74次组卷
|
3卷引用:北师大版(2019)必修第一册课本习题第一章3.2 基本不等式
名校
解题方法
10 . 在
中,
分别为内角
所对的边,若
,
.
(1)求
的面积;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e899c486dc49e560fc4aca05e16835b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e0a8fe4acdc2185ec7699f869a76a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-07-21更新
|
2145次组卷
|
6卷引用:2023年山西省普通高中学业水平考试数学试题