已知
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求
的最小正周期及单调递减区间;
(2)求函数
在区间
上的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e007f2d7027cdd47652bb4c73db0b66f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6ce89ee8511823279c6c9f5d5dc087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
更新时间:2021-09-11 21:15:02
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相似题推荐
解答题-问答题
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适中
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名校
【推荐1】已知向量
,
,设函数
的图象关于点
对称,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee2fe2bcf82437a9e1cf913575014fe.png)
(I)若
,求函数
的最小值;
(II)若
对一切实数恒成立,求
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f426c3dba16e500df359fb8037729bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50dfbafc761205dc7cf2e48a2531dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87aed96a5eaa4f81978609be02d899dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b220ec734aadd24518dbf7dd975965b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee2fe2bcf82437a9e1cf913575014fe.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1408bc2685d1155c5533f372fea65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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【推荐2】已知函数
(
,
)的最小正周期为
,且
的图象过点
.
(1)求
的单调递增区间;
(2)若
,求
的对称中心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1b51fc74390c262bc0bcaeb20369c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79df0e304acbf4768e85b588f394413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6f468a48dc6491559012009ec9041f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c50dd1790b8c0e6d884f107dee1dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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【推荐1】函数
的部分图像如图所示,将
的图象向右平移
个单位长度,然后再将纵坐标伸长到原来的2倍(横坐标不变)后得到函数
的图象.
(Ⅰ)求函数
的解析式;
(Ⅱ)若
,
的最大值与最小值恰好为锐角
的两边长,且
的外接圆半径为
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3b51f90085fd5f230be21fdd4a2b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65af1d6b6b831ebbdc36dda5f304a3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8a14649950eb1c74a1a1af244fbf8f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/37ecd413-70c0-4b0d-8f3e-deb38c57c563.png?resizew=219)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8a14649950eb1c74a1a1af244fbf8f.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1ff9b3fc7f157a6f9cfaf3081367a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd330acca8e17f5ff9aca1f0f312df50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e04e9753abb7758a6758a2baa44a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
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【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6d3c02f905f23bf212a490c1fb0a70.png)
(1)求
;
(2)在△ABC中,若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6d3c02f905f23bf212a490c1fb0a70.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5a39449bfcd1d2448b4d675f717e8b.png)
(2)在△ABC中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae27a92e1d1a5f250637f058d25edf02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e63b1f79525cd9c68d0d5d511486d72.png)
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解题方法
【推荐1】已知函数
.
(1)若对任意
,都有
成立,求实数
的取值范围;
(2)若先将
的图像上每个点横坐标伸长为原来的2倍(纵坐标不变),再将所得图像向左平移
个单位长度,得到函数
的图像,求函数
在区间
内的所有零点之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c472c1edce324974e5779358c32fd98f.png)
(1)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654b871290ce32bd010e739062de915e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1312d640aa773779a34e9d50791ef5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若先将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cd27dac3739842b3e14fb4adcf253ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e523035b5d02a6c8bc017cad96484737.png)
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解题方法
【推荐2】在
中,内角
所对应的边分别是
的面积为S.已知
,且
.
(1)求角
的大小;
(2)若对任意的
恒成立,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718b5b48053888ab3b234b8cb56a0fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799e7735678fd72d4960036a8b79f1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c88936bea925a71ff5c0e7906c7faa.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b91bf5a8382c8e41a4adadcea0baec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f6ee79f88b04592a48ec4d05058de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2b9f4a56eddb8729daedaa14205852.png)
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解题方法
【推荐1】设向量
,
(1)求函数
的最小正周期及单调递增区间;
(2)若函数
在
上有两个零点,求实数m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e440e575b5b13f2b9f6e857244d3a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be2dd167392a87d125bfd91ab3cb396.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1017814e9883c21b17e43703a7272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
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【推荐2】已知过点
的动直线
与圆
:
相交于
、
两点,
是
中点,
与直线
:
(
为常数)相交于点
.
(1)求证:当
与
垂直时,
必过圆心
;
(2)当
时,求直线
的方程;
(3)当直线
的倾斜角
变化时,探索
的值是否为常数?若是,求出该常数;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1394a4ed26d099cb02fb97ccb635f0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d03f282cb027ea402e496e0347120be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8932539136608ca425f9766fc2ce988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fa523cd9205bdfa2ce0e298f26c18d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5fd01b634324fbbc62fe3e5009615fb.png)
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适中
(0.65)
【推荐3】已知向量
,
,记函数
.
(1)求函数
在
上的取值范围;
(2)若
为偶函数,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949b77a5cf4e52afbf34440de9b526b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86aa7fa80dce2885c4c0df7a4fc84d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e2e91db69da7c2b399e25e2ef9f205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783012e22c050925f55fa0478b9d0619.png)
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