名校
1 . 已知向量
,
,函数
.
(1)若
,求
的集合;
(2)若
,求
的单调区间及最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97fcbada987fd8b134003ff3b994b0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d16d707534c0414971f8983eae617d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f610065a3481a083852e985bcf49e858.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778662c16848db470c6537705b8a839c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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11-12高三·安徽马鞍山·阶段练习
解题方法
2 . 已知向量
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016c7f025f8df93e855ddaed626e6dc9.png)
(1)求函数
的表达式,并求
的单调递减区间;
(2)在
中,
分别是角A,B,C的对边,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a45bec9340e837719e445c219bc758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016c7f025f8df93e855ddaed626e6dc9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d110f5847f47005a7dec4e7f8a8268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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11-12高二下·安徽·阶段练习
3 . 函数
(
)的最小值为
,其图象相邻的最高点和最低点横坐标差是
,又图象过点
.
(1)求这个函数的解析式.;
(2)求
单调减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146654da0bad929dcbaccd150485ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681b5dd15828303d08aad2bbfc16ffff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf1f865bafd4a820406d336d99f8091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(1)求这个函数的解析式.;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146654da0bad929dcbaccd150485ed4.png)
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2012·安徽·一模
4 . 设函数f(x)=msinx+
cosx,(m为常数,且m>0),已知函数f(x)的最大值为2.
(I)求函数f(x)的单调递减区间;
(II)已知a,b,c是△ABC的三边,且b2=ac.若,
,求B的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(I)求函数f(x)的单调递减区间;
(II)已知a,b,c是△ABC的三边,且b2=ac.若,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02e6e821af7945ac1ed0096a238721f.png)
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2012·安徽亳州·一模
5 . 已知函数以
,其相邻两个最值点的横坐标之差为2π.
(1)求f(x)的单调递增区间;
(2)在△ABC中,角A、B、C的对边分别是a、b、c满足(2a-c)cosB=bcosC,求函数f(A)的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9ee021d714a5f7074495633262810c.png)
(1)求f(x)的单调递增区间;
(2)在△ABC中,角A、B、C的对边分别是a、b、c满足(2a-c)cosB=bcosC,求函数f(A)的值域.
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