函数
、
分别是定义在R上的偶函数、奇函数,且
,若存在
,使不等式
成立,则实数m的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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23-24高三上·辽宁锦州·阶段练习 查看更多[2]
更新时间:2023-10-15 22:14:43
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【推荐1】已知函数
为定义在
上的奇函数,若
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c18e7d848da79e20188ed6a0225a0c7.png)
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【推荐2】太极图是由黑白两个鱼形纹组成的图案,俗称阴阳鱼,太极图展现了一种互相转化、相对统一的和谐美.定义:能够将圆O的周长和面积同时等分成两个部分的函数称为圆O的一个“太极函数”.已知函数
是奇函数,且当
时,
,则
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
______ ;若
是圆
的太极函数,则实数k的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
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解题方法
【推荐1】设正数
满足
,则
的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14079a11f7ce901b0b3325868f81f262.png)
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【推荐2】设
,则
的最小值为___________ ,取最小值时bc的值为___________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80ef538638077780995e1b7caf5bfa3.png)
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【推荐1】已知函数
,
,若对于任意的
,
和
至少有一个成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8fb3fa35ed2afb0eb3cee078091545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4afdbe795845f8a9a04cc1c215f950e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
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【推荐2】定义在
上的函数
,若对任意的
,
,
,
都能成为三角形的三边长,则称
为“
上的三角形函数”.已知函数
是“
上的三角形函数”.则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debe97ba682af207b7607d753139f4d5.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de447d5e47448d0f15a7535bf3ce0be.png)
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