名校
解题方法
1 . 若
且
,设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9d5c06daa8cc82af753decd93650df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1267e2b11d7312f12f9a3b4b6ac9e1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c5d61a7d560cc00328d90456d63109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee7337195ca67a0367059b0bf95876d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f21c267d974adb1b6ee5b25db66cac5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-01-28更新
|
450次组卷
|
2卷引用:江苏省常州市教科院附属高级中学2022-2023学年高一上学期期末模拟数学试题C卷
名校
2 . 若
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18cbb13b3f435aec18fe0796203f29b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482dd4e861f9205b7b5b8315275d5aed.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-11-12更新
|
144次组卷
|
2卷引用:江苏省常州市十校2022-2023学年高一上学期期中联考数学试题
名校
解题方法
3 . 问题:正数
,
满足
,求
的最小值.其中一种解法是:
,当且仅当
,且
时,即
且
时取等号,学习上述解法并解决下列问题:
(1)若正实数
,
满足
,求
的最小值;
(2)若正实数
,
,
,
满足
,且
,试比较
和
的大小,并说明理由;
(3)若
,利用(2)的结论,求代数式
的最小值,并求出使得
最小的
的值.
![](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/3e2b49651d75b65c000f41a92c613508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b546bb446a200cd5f443b25f64f807d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c34bb88b7df81b0a9cc4f5f532f529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2b49651d75b65c000f41a92c613508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f86c800af77b70d7799500a45f91721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddab9f2cdfbb37f5d5845e7943910624.png)
(1)若正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34578d40980030a481af1c67fd466220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c836b007091110c41ebca924d9a464f8.png)
(2)若正实数
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09ffc1644c7029219b88232145abbdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc5f85f56005d1828a804d397e129db.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4f01a173a0d7c88040ca354e4e588f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-10-15更新
|
358次组卷
|
5卷引用:江苏省常州市溧阳中学2023-2024学年高一上学期10月阶段调研数学试题
名校
4 . 若
、
都是正实数,则“
”是“
”( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0da846d1813b601de122c5eb4fb2be3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d8a49a325a200c8aa103d7fd71ca3e.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2022-02-13更新
|
335次组卷
|
4卷引用:江苏省常州市金坛区2021-2022学年高一上学期期中数学试题