1 . 已知函数
的最大值是3,
的图象与y轴的交点坐标为
,其相邻两个对称中心的距离为2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a762def362ebe9822c9b1a185bba2a03.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87f3648879b611c8969372ac045f159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a762def362ebe9822c9b1a185bba2a03.png)
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2 . 若直线
与函数
的图象相交,P,Q是它们相邻的两个交点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b820f749904501fafc23018b528ed82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d550e20d1c9c1b0f03ab9ef1c3388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
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3 . 函数
的部分图像如图所示.若
,且
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/66c24786-2e50-4b0b-b105-a70cbd7296b7.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb078f3209fca524ae8556f94f4233c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb810306d1f889e10d31b5e2657aa5b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d61ffeb6176cd3bd38c7037b91371ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/66c24786-2e50-4b0b-b105-a70cbd7296b7.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
是定义在
上的偶函数,且最小正周期
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d5e2b70ea8caabf461e5213aee9c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a9d4db7d7e600a76b7fe77ff6f3b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6097df40627705e5c635adaf088372e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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广西桂林市第十八中学2023-2024学年高一下学期4月月考数学试题(A卷)安徽省黄山市2022-2023学年高一上学期期末数学试题辽宁省铁岭市清河高级中学2022-2023学年高一下学期3月月考数学试题(已下线)第五章 三角函数(32类知识归纳+38类题型突破)(3) -速记·巧练(人教A版2019必修第一册)辽宁省抚顺市抚顺县高级中学校2023-2024学年高一下学期3月月考数学试卷
5 . 已知函数
的最小正周期为
.
(1)求
的值以及函数
的单调增区间;
(2)若方程
在区间
内有两个不同的解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fad278e51e07a1d4ae3b3b6121e1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e202311386b920f5b269ae0fda0c4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 已知函数
在下列条件①、条件②、条件③这三个条件中,选择可以确定
和m值的两个条件作为已知.
条件①:
的最小正周期为
;
条件②:
的最大值与最小值之和为0;
条件③:
.
(1)求
的值;
(2)若函数
在区间
上是增函数,求实数a的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54aae9d629a2aa481865481fea0b3a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347553159877ffb349d5c625cfb8ea41.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/776b6861662d03dc2dd70a19dc2071ea.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1385e46e79bc8d3ccc8162791f91f7c5.png)
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7 . 已知函数
,其图象与直线
的相邻两个交点的距离分别为
和
,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58623607960c8da39844a8d09aef93d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2a2a461b654b2534187f833a348d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知函数
(
)的最小正周期
.
(1)求函数
单调递增区间.
(2)若函数
在
上有两个零点,求m的范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0832a3af1a7738de91391570ae6b082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7314e09274824bea4f7fd6e4302b4a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1017814e9883c21b17e43703a7272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f457df0f9d14437a7f0443bb297e6ee8.png)
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9 . 定义运算
,函数
(其中
)的图像中相邻两个零点的距离是
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0e02900952635dbc28821f3e2f84ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f73076a63f2e5b190af6f956467672e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b69099d2b74ffbb1f365e1468bd8fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.6 | B.4 | C.3 | D.2 |
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解题方法
10 . 已知函数
的最小正周期为
.
(1)求
;
(2)将函数
的图象上各点的横坐标伸长为原来的2倍(纵坐标不变),再将得到的图象向左平移
个单位,得到函数
的图象,求
在
上最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cea58aa1cc83eb2951f8200896d2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9f4ad8ba067196724a6c13e30ff8eb.png)
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