解题方法
1 . 已知a、b均为正数,设
.
(1)当
时,求不等式
的解集;
(2)若
的最小值为6,求
的值,并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c77137f24451d1899bed097920b4c75.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6009d51b897a4f898b57e483234f391a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7266b2ef457b8ddeee3fa2cc24022e.png)
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2 . 已知函数
.
(1)若对任意的
,恒有
成立,求实数a的取值范围;
(2)设
,且
,
时函数
的最小值为3,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0deb62a28e951c283dba601c8532c53b.png)
(1)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1027f09cfa512ed47b9e4773f0e5f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc901cbdb68130ddac3174583dd93c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a2dd32ee3f7c8ce211d4cd9ccc3f22.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/7d02059613da3797ae406925b6ee5b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e21c1056fc43b25c11ed3a4a7938f7a.png)
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2019-12-11更新
|
224次组卷
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2卷引用:河南省周口市川汇区周口恒大中学2024届高三上学期期末数学试题