解题方法
1 . 定义在
上的函数
,若存在区间
,使函数
在
上的值域恰为
,则称函数
是
型函数.给出下列说法:①函数
不可能是
型函数;②若函数
(
)是1型函数,则
的最大值为
;③若函数
是3型函数,则
,
;④设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7089f485f3aeb24361811e5536740b2.png)
是
型函数,则
的最小值为
.其中正确的说法为________________ .(填入所有正确说法的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5313c921defe84689aefde4773ad2b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aab24d046dd52838bff5d9bbd98305c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c60b2526f6219d0a6cb9c1acc9b7939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0caa3a615699327816753132a064e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3351f77162c004c9c21ac24c42e0413e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd09fb9482124fd35f19b86894648f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbf6506e9de40da0f3c51b81b35a901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7089f485f3aeb24361811e5536740b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846af1bdadcb3897971d0b2f767e1f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d86ab7c97cd8a0b15ba5efc1be94230.png)
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2 . 设
,关于
的方程
的四个实根构成以
为公比的等比数列,若
,则
的取值范围为______ .
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572005271003136/1572005276688384/STEM/8bc47ed773c74172b7d557e6dd14a85b.png?resizew=53)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572005271003136/1572005276688384/STEM/027d06487b84471d99ad5b1b0cbd49cf.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572005271003136/1572005276688384/STEM/3e078bf1ea0f41ba98ecb916a4c27314.png?resizew=179)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572005271003136/1572005276688384/STEM/79a563d832994ebba80aaca202b7c72f.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572005271003136/1572005276688384/STEM/941698508805426eb0d738dd811df1cb.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572005271003136/1572005276688384/STEM/a86af4cb5a6e4b31b0ae8f410b0a5617.png?resizew=21)
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10-11高三·天津南开·阶段练习
3 . 函数
的最小值是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955df28782b002a6df98a3d17587d12e.png)
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9-10高一下·江西·阶段练习
4 . 已知
且
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c270c7508ec18bfae26af47763aab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd98ce07e05c58d83a48d90dfcb28fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260ebee6aac1953e8817854487368b5d.png)
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11-12高二下·江苏扬州·期中
5 . 已知
是奇函数,当
时,
,且当
时,
恒成立,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a7f51b1224ec9f0d3746f8dde2f416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6be2366bdcd9873deebd7b70609f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e418f35c910fdb9b057b24a2cf9d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
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名校
6 . 已知三个实数
、
、
,其中
且
,则
的最大值为______ .
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0105cd0b15e052014d66913a02e333d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff263424cc626096b7339a284a579d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93de75982fcf1bea162d367c2ddbb613.png)
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解题方法
7 .
函数在区间[-1,4]上值域为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a54a05baa339d6464bea48bfc171fa30.png)
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8 . 若实数x,y满足x+y=6,则f(x,y)=(x2+4)(y2+4)的最小值为____________
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20-21高一上·浙江·阶段练习
9 . 函数f(x)=9x+2×3x+5,x
[-1,2]的最小值为___
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
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