1 . 已知下列命题:
①函数
的单调增区间是
.
②要得到函数
的图象,需把函数
的图象上所有点向左平行移动
个单位长度.
③已知函数
,当
时,函数
的最小值为
.
④已知角
、
、
是锐角
的三个内角,则点
在第四象限.
其中正确命题的序号是_____________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99aac52fb36e39629166cb002e247bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c41281c640df1d3cf62fd1c4205daf.png)
②要得到函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4deaac6b6a9e2f0d71bc09e191999ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
③已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab9f23137d179abffff9189578ff0e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8eca68c4c7478f412183aa275fc7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0ee1a5b897f98c7cef8f90bcf07067.png)
④已知角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63eb26e976b64016de279c68beee71d5.png)
其中正确命题的序号是
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2 . 已知复数
,
,
(其中
是虚数单位).
(1)若
,求所有
的值所构成的集合;
(2)设
,记
(
表示复数
的虚部),求
的最小正周期与单调递增区间;
(3)将函数
的图像向右平移
个单位长度,得到函数
的图像,若对任意的
,不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786a71963118cf9da1608d25719f2d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86454bf0bec36ed4e8b6f7aa1a503fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a78b42c236c58a9fb9618e8c54823cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f6b9790eb23214c345e0e2c89a17b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195fadf246b12b52d05752b75b6905d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8063afe64e9d654291d952e005c16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a61aa36bb3d873a267d53249f9f760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9243c1dbcbb1a08f750832abe9a6741e.png)
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3 . 变换①:把函数的图像上每点的横坐标和纵坐标都变为原来的
倍,再向右平移
;
变换②:把函数的图像向右平移
,再把每一点的横坐标和纵坐标都变为原来的
倍;
变换③:把函数的图像向左平移
,再把每一点的横坐标和纵坐标都变为原来的
倍;
变换④:把函数的图像向右平移
,再把每一点的横坐标变为原来的一倍,纵坐标都变为原来的
倍;
其中能把函数
的图像变为
的图像变化是________ .(请把你认为正确的都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
变换②:把函数的图像向右平移
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
变换③:把函数的图像向左平移
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
变换④:把函数的图像向右平移
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
其中能把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2420194cfc592315656112a4492835.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef238eb42e6bd6b2b385a22794a22dce.png)
您最近一年使用:0次