1 . 已知函数
(
,
)的最小正周期为T,
,若
在
内恰有10个零点则
的取值范围是________ .
![](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/f7c9e46448bc791c441ca02d8f4508eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a48ba2d866050874785dc44605160e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
2 . 已知的数
(
),若
的最小正周期为
,
的图象向左平移
个单位长度后,再把图象上各点的横坐标变为原来的2倍(纵坐标不变)得到函数
的图象,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74a01d149399210cc1ce429a5b2b20e.png)
____________ ;若
在区间
上有3个零点,则
的一个取值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d683bbf46f0e98c8a5b0879e4465b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/8c8ae071199874d9d74a4919a58902f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74a01d149399210cc1ce429a5b2b20e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72728cdc6b1c5521eeba55ca804d2d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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名校
3 . 已知函数 在区间
上的最大值记为 M,则M的取值范围为
您最近一年使用:0次
2024高三·全国·专题练习
4 . 设函数
(
是常数,
). 若
在区间
上具有单调性,且
, 则
的最小正周期为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d637bbb584a66938886b928f9a9a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b651c83ed280b34e1144bd7b22dd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e1a59013f87211094fdce5078bd839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35e9de1371abc6079dfbb756eefbc85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960104374c09f1f541f05fadf5943083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2024·全国·模拟预测
解题方法
5 . 已知函数
,先将图像向左平移
个单位长度,再将图象上各点的横坐标伸长到原来的两倍,得到奇函数
的图像,且
,则函数
的最小正周期的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf65d89cb8c244ff3209c9276216957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c3fa21153a30f6dc9150f8664fd33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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6 . 已知函数
的最小正周期为T,其图象关于点
中心对称,则T的最大值为__________ ;写出曲线
满足“在区间
内恰有三个极值点”的一条对称轴方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4929423a5597888ba443dd345394deaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8460912e45cf6ff7267f2c45ccaa454b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
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2024·全国·模拟预测
7 . 已知函数
的图象与直线
在
轴右侧交点的横坐标从小到大依次为
,且满足
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3162d2c7b650bba3e401ffbb1e13bb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d767cba8f37ccd4b40efec40dd430e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd11b8d119843f9b60b1f116c8ace15e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 若函数
(
,
)的最小正周期为
,且
,若
在区间
内没有零点,则
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8782c1ca62ff2e6f5b9360a2431d874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c9e46448bc791c441ca02d8f4508eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb6e52d1733c6ce9f78ba2bfe142355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9bbf6e7847f96706b54f079716bf23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2024-04-26更新
|
391次组卷
|
3卷引用:辽宁省实验中学2023-2024学年高一下学期第一次月考数学试题
辽宁省实验中学2023-2024学年高一下学期第一次月考数学试题(已下线)模块五 专题3 全真能力测试1(高一人教B版期中)辽宁省朝阳市建平县实验中学2023-2024学年高一下学期第二次月考数学试题
2024·全国·模拟预测
9 . 在平面直角坐标系
中,已知任意角
以坐标原点
为顶点,
轴的非负半轴为始边,若其终边经过点
,且
,定义:
,称
为
的余正弦函数.若函数
的最小正周期为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84d3157327fcca44b4578d4007ee9d9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764fcc75806c3283a2713a60b544dece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e86f1c97a99c2bba36e381aa971a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8c79be516c66fbfcb1eac21e5dbc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4159f98a7796f1d1d6ee2d59443be4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27f19b779c3905a1e3604a81360123d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84d3157327fcca44b4578d4007ee9d9.png)
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10 . 已知函数
图象的相邻两条对称轴之间的距离为
,且关于点
对称,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd81ef9a8e35f599733d9a9d512c8332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152913f6e7f7fe11ca03d5b3e58d0e01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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